26*m**3/3 + 48*m**2 - 531. Suppose j(o) = 0. What is o?
-3, -1, 0, 1, 16
Suppose -9683724900/11*y**2 - 21138/11*y**4 - 6/11*y**5 - 24808956/11*y**3 - 9733406250/11 + 19441961250/11*y = 0. Calculate y.
-1175, 1
Find d, given that 5*d**3 + 7*d**3 + 104*d**2 + 56 + 3647186*d - 3647038*d = 0.
-7, -1, -2/3
Let d be ((-24)/(-10))/(22/110). Let b be ((-10)/15*d)/(-2). Let 0 - b*k**3 - 20/3*k**2 + 8/3*k = 0. Calculate k.
-2, 0, 1/3
Let c(p) be the first derivative of 12*p + 0*p**3 + 138 - 1/2*p**4 + 7*p**2. Let c(w) = 0. Calculate w.
-2, -1, 3
Let z(s) be the third derivative of s**6/30 + s**5/12 + s**4/24 - 2*s**2 + 515. Find u such that z(u) = 0.
-1, -1/4, 0
Let s(p) be the third derivative of 0*p**4 + 1/40*p**5 + 0 + 31*p**2 + 0*p**3 + 1/80*p**6 + 0*p. Factor s(o).
3*o**2*(o + 1)/2
Let h be (-19)/((-76)/(-40))*-1. Let t be ((-16)/(-12))/(h/9*3). Solve 2/5*l**2 + 4/5*l**3 + 0 - t*l**4 - 4/5*l = 0 for l.
-1, 0, 1, 2
Let d be ((116/(-16))/(-29))/(-3) + (-53)/(-60). Factor 16/5*h + 16/5*h**3 - 24/5*h**2 - 4/5*h**4 - d.
-4*(h - 1)**4/5
Suppose -9*x + 4*x = -65. Suppose -3*c + 18 = z, 5*z - z + x = 5*c. Factor 7*w**3 + 4*w**3 + 4*w**2 - 13*w**3 + 3*w**z + 3*w.
w*(w + 1)*(w + 3)
Determine a so that 10*a**2 - 346 - 882440*a**3 + 882438*a**3 + 96 + 50*a = 0.
-5, 5
Let w(z) be the first derivative of z**3/6 - 19*z**2/4 - 21*z - 1166. Solve w(x) = 0 for x.
-2, 21
Factor -345 - 32 + 11 + 86*z - 3*z**2 + 103*z.
-3*(z - 61)*(z - 2)
Let h(k) be the third derivative of k**6/600 - 59*k**5/50 + 47*k**4/8 - 176*k**3/15 + 204*k**2. Factor h(u).
(u - 352)*(u - 1)**2/5
Let w be ((-8)/(-10))/2*(-6 - -86). Let r = w + -28. Suppose -r + 5*n**3 - 3*n - 3 + 5*n**2 + 2 - 2*n = 0. What is n?
-1, 1
Let k(t) be the second derivative of t**5/20 - t**4 + 3*t**2/2 - 119*t. Let r be k(12). What is w in -4/21 - 10/21*w**r - 2/3*w - 2/21*w**4 - 6/7*w**2 = 0?
-2, -1
Let u(v) be the second derivative of 3*v**5/80 + 19*v**4/16 - 11*v**3/4 - 15*v**2 + 468*v. Factor u(p).
3*(p - 2)*(p + 1)*(p + 20)/4
Solve 289/2*a + 1/2*a**3 - 73*a**2 - 72 = 0 for a.
1, 144
Let l = -552544 + 9377697/17. Let k = l + 915. Let 2/17*j**3 - 6/17*j + 0*j**2 - k = 0. What is j?
-1, 2
Let g(w) be the first derivative of w**6/20 - 9*w**5/20 + 8*w**3 + 19*w - 59. Let j(x) be the first derivative of g(x). Factor j(a).
3*a*(a - 4)**2*(a + 2)/2
Let y(v) be the third derivative of v**7/140 + v**6/10 + 2*v**5/5 + 472*v**2. Factor y(x).
3*x**2*(x + 4)**2/2
Let a(g) be the first derivative of 131 - 4*g**5 - 121/2*g**2 - 1/6*g**6 + 0*g + 220/3*g**3 - 39/2*g**4. Factor a(k).
-k*(k - 1)**2*(k + 11)**2
Let q(h) = -3*h**2 + 3*h + 12. Let u(l) = 2*l**2 + 110 + l**2 - 119 - 3*l. Let i(f) = -3*q(f) - 2*u(f). Factor i(o).
3*(o - 3)*(o + 2)
Let g = 95673/77 + -11824/7. Let p = g + 447. Factor p*o - 10/11*o**2 + 6/11*o**3 + 2/11*o**4 + 0 - 2/11*o**5.
-2*o*(o - 1)**3*(o + 2)/11
Let g(j) be the third derivative of -11*j**8/112 + 263*j**7/210 - 32*j**6/15 - 266*j**5/15 + 194*j**4/3 + 8*j**3 + 5488*j**2. Suppose g(m) = 0. Calculate m.
-2, -1/33, 2, 6
Let a(f) be the second derivative of -13/5*f**2 + 1/20*f**4 + 2 - 113*f - 37/30*f**3. Find g such that a(g) = 0.
-2/3, 13
Let d be (-175)/(225/9) - -13. Let i(a) be the second derivative of 0*a**3 - 27/20*a**5 + 14 - 3/5*a**d - a**4 - a - 1/14*a**7 + 0*a**2. Solve i(b) = 0 for b.
-4, -1, 0
Let n(t) be the second derivative of -t**10/6048 + t**8/672 - t**6/144 + t**4/6 - 24*t**2 - t - 27. Let u(q) be the third derivative of n(q). Factor u(k).
-5*k*(k - 1)**2*(k + 1)**2
Let y be (-12)/156 + 54/26. Let -20/3 + 14/3*b - 2/3*b**y = 0. What is b?
2, 5
Let r = 167643 - 167640. Determine j, given that 0 + 5/2*j**2 + 7/2*j**r - j = 0.
-1, 0, 2/7
Let w(l) = -l**2 + 6*l - 4. Let u be w(3). Let c be (50/20)/(u/4). Factor 6/7*a**3 - 3/7 + 0*a**c + 3/7*a**4 - 6/7*a.
3*(a - 1)*(a + 1)**3/7
Let p(n) be the first derivative of n**7/245 + n**6/35 - n**5/14 + 3*n**2/2 + 9*n + 1. Let c(v) be the second derivative of p(v). Factor c(m).
6*m**2*(m - 1)*(m + 5)/7
Suppose 1/5*y**4 + 218/5*y**3 + 756 + 1701/5*y**2 + 4428/5*y = 0. What is y?
-210, -3, -2
Let h = 217429 + -1956857/9. Find l such that 13*l**4 + 169/9*l**5 + 0*l - 16/3*l**3 + 0 + h*l**2 = 0.
-1, 0, 2/13
Factor -16*k**2 - 70121 - 68169 + 146534 + 32972*k.
-4*(k - 2061)*(4*k + 1)
Solve -2/7*w**2 + 276/7 + 274/7*w = 0.
-1, 138
Let g(h) = -2*h**2 + 99*h + 110. Suppose 11 = -v - k + 32, -2*k - 98 = -5*v. Let r(o) = -15*o**2 + 695*o + 770. Let z(y) = v*g(y) - 3*r(y). Factor z(w).
5*(w - 22)*(w + 1)
Let x(w) be the first derivative of w**5/60 - w**4/8 - 14*w**3/3 - 77*w**2/2 + w + 180. Let i(g) be the second derivative of x(g). Find l, given that i(l) = 0.
-4, 7
Let t(d) be the third derivative of 0*d - 1/3*d**3 + 19/48*d**4 + 210*d**2 + 0 + 7/80*d**5. Let t(l) = 0. What is l?
-2, 4/21
Let p(b) be the first derivative of 3*b**4/20 + 34*b**3/5 + 57*b**2/2 + 186*b/5 - 770. Factor p(f).
3*(f + 1)*(f + 2)*(f + 31)/5
Suppose 42/5*m**2 + 0 - 1/5*m**3 + 88/5*m = 0. Calculate m.
-2, 0, 44
Let d(f) be the third derivative of f**7/1050 + f**6/225 - 4*f**5/75 - 19*f**3/2 - 45*f**2. Let k(m) be the first derivative of d(m). Factor k(n).
4*n*(n - 2)*(n + 4)/5
Let t be (-376357)/(-28252) + 6/(-8). Factor -4/7*y**2 + t + 36/7*y.
-4*(y - 11)*(y + 2)/7
Let 6*a**4 + 52*a - 31*a**2 - 4*a**4 - 6*a**3 + 22*a**3 - 17*a**2 - 4*a**3 - 18 = 0. What is a?
-9, 1
Let q(k) = 2007*k + 5. Let o be q(19). Solve -38134*y + 6*y**4 + 0*y**3 - 8*y**2 + o*y + 2 - 4*y**3 = 0 for y.
-1, -1/3, 1
Let v(d) be the third derivative of d**7/105 - 53*d**6/60 - d**5/30 + 53*d**4/12 - 1576*d**2. Factor v(f).
2*f*(f - 53)*(f - 1)*(f + 1)
Determine a, given that 1/5*a**3 + 1215*a - 19683/5 + 159/5*a**2 = 0.
-81, 3
Let h = -200466 + 200472. Factor 0 + 28/3*m - 130/3*m**2 + h*m**3.
2*m*(m - 7)*(9*m - 2)/3
Let b(y) = -14*y**3 - 342*y**2 + 5412*y + 26902. Let t(v) = 11*v**3 + 337*v**2 - 5412*v - 26901. Let l(k) = -5*b(k) - 6*t(k). Suppose l(u) = 0. Calculate u.
-4, 41
What is z in 64 - 1852*z**2 + 3733*z**2 - 5*z**4 - 20*z**3 + 96*z - 4*z**4 + z**5 - 1861*z**2 - 2*z**5 = 0?
-4, -2, -1, 2
Suppose -13 = d + 3*p - 0, 0 = -3*d + 3*p + 21. Let t be 0 - (-4 - 0) - (d - 0). Let 6*x**3 - 602*x**4 + 2*x**3 + 620*x**4 + 9*x**5 - x - t*x**2 = 0. What is x?
-1, -1/3, 0, 1/3
Suppose 35 = 4*b - 13. Suppose 41*l - 38*l - b = 0. Factor -g - 2*g**4 - 3*g**l + 4*g**4 + g**2 + g**3.
-g*(g - 1)**2*(g + 1)
Find r, given that -2/9*r**5 - 392/9*r - 92/9*r**4 + 394/9*r**3 + 400/9 - 308/9*r**2 = 0.
-50, -1, 1, 2
Let q(p) be the third derivative of p**5/120 + 3*p**4/8 - 19*p**3/12 + 2490*p**2. Suppose q(s) = 0. What is s?
-19, 1
Suppose -13*k + 10*k + 114 = 0. Let z be k/14 + -1 - (-24)/84. Let 4*o**3 - 12*o**3 + 6*o**2 - 12 + 4 + 3*o + 5*o + z*o**4 = 0. Calculate o.
-1, 1, 2
Let p be ((-378)/27)/(8 - 14). Solve -1/3*y**3 - p*y**2 - 7/3*y + 5 = 0.
-5, -3, 1
Let x(l) be the first derivative of l**4/12 - 35*l**3/9 - 77*l**2/6 + 37*l - 5733. Let x(b) = 0. Calculate b.
-3, 1, 37
Let x be (-1 - 1)/((-2)/115). Let z(c) = -c**3 + 16*c**2 - 109*c + 1412. Let t be z(15). Factor 69*f**t - x*f**2 - 160*f - 126*f - 242 - 2*f**3.
-2*(f + 1)*(f + 11)**2
Let v = 111 - 89. What is d in 73*d**2 - 24*d**2 - 23*d**2 - 280*d + 4900 - v*d**2 = 0?
35
Let k be -3 - 1 - 9768/(-8). Factor 1221*f**2 - 14 - k*f**2 + 20*f + 38.
4*(f + 2)*(f + 3)
Let o(j) be the third derivative of -j**8/2520 + 2*j**7/525 + 17*j**6/450 - 8*j**5/75 - 17*j**4/20 + 18*j**3/5 + 1351*j**2. Solve o(y) = 0 for y.
-3, 1, 2, 9
Let r(z) be the third derivative of z**8/6720 + z**7/280 + z**6/90 - 4*z**4/3 + 4*z**2 - 5. Let c(f) be the second derivative of r(f). Factor c(i).
i*(i + 1)*(i + 8)
Let s = 9459/65723 - 10/9389. Let -s - 1/7*q**3 - 3/7*q**2 - 3/7*q = 0. Calculate q.
-1
Factor -1/2*m**3 - 9 - 29/2*m - 6*m**2.
-(m + 1)*(m + 2)*(m + 9)/2
Suppose -w - 30 + 43 = l, -w + 3*l + 25 = 0. Factor 2*q**4 - 19*q + 59*q**2 + 16*q**2 - 45*q**3 + 3*q**4 - w*q.
5*q*(q - 7)*(q - 1)**2
Let -7796*w + 35*w**3 - 1510*w**2 - 1300 - 6843*w**2 + w**3 - 3323*w**2 = 0. Calculate w.
-1/3, 325
Suppose v - 5*n = -3, 9*n + 6 = 2*v + 11*n. Factor 6093*m**v - 92*m + 32*m - 6089*m**2 - 64.
4*(m - 16)*(m + 1)
Let d(p) be the second derivative of p**6/120 - 39*p**5/80 + 155*p**4/16 - 1649*p**3/24 + 867*p**2/4 - 7085*