0 = 0.
0, 3
Factor 11/7*g - 60/7 + 1/7*g**2.
(g - 4)*(g + 15)/7
Suppose -111/4*z**3 + 9/4*z**4 - 72 - 39*z + 84*z**2 = 0. What is z?
-2/3, 2, 3, 8
Find d, given that 207/4 + 429*d + 477/4*d**2 - 6*d**3 = 0.
-3, -1/8, 23
Let q be (-117)/(-45) + (-9)/15. Let u = 701/4979 - -5/383. Factor -u*l**q + 2/13 - 2/13*l + 2/13*l**3.
2*(l - 1)**2*(l + 1)/13
Let l = -340 + 342. Factor 108*p - 68*p**3 - 62*p**3 + 108*p**l + 3*p**4 + 163*p**3.
3*p*(p + 2)*(p + 3)*(p + 6)
Let j(s) be the second derivative of -35/4*s**2 + 54*s - 1 - 17/6*s**3 + 1/24*s**4. Factor j(d).
(d - 35)*(d + 1)/2
Let y = 384 + -936. Let h be -10 - y/56 - 190/(-154). Determine p, given that 2*p**3 - 16/11 + 2/11*p**5 - 24/11*p + 4/11*p**2 + h*p**4 = 0.
-2, -1, 1
Let f(j) be the second derivative of -56 - 11/16*j**4 + 0*j**2 + 0*j**3 - j - 3/80*j**5. Factor f(q).
-3*q**2*(q + 11)/4
Suppose 2779 - 8810 = -37*s. Suppose s*b**4 - 14*b**2 + 56*b**2 - 166*b**4 + 36*b - 39 - 36*b**3 = 0. What is b?
-13, -1, 1
Let p(x) = 12*x**4 + 32*x**3 + 60*x**2 - 28*x - 28. Let w(t) = 2*t**4 + t**3 + 10*t**2 - 1. Let q(o) = p(o) - 4*w(o). Factor q(a).
4*(a - 1)*(a + 1)**2*(a + 6)
Suppose 3 - 10 = -4*p - x, -2*p - 2*x + 2 = 0. Factor n**p - 6*n**2 + 113*n - 1280 + 47*n.
-5*(n - 16)**2
Solve -5977*y + 7074699 + 7256546 - 3*y**2 - 14364*y + 3411*y + 8*y**2 = 0 for y.
1693
Let q(t) be the first derivative of 3*t**5/40 - 33*t**4/16 - 579*t**3/8 - 204*t**2 - 399*t/2 + 3796. Solve q(y) = 0.
-14, -1, 38
Let j(b) be the second derivative of b**6/20 - 9*b**5/5 - 13*b**4/2 + 302*b. Factor j(g).
3*g**2*(g - 26)*(g + 2)/2
Let p(r) be the first derivative of r**6/45 - r**5/5 + 11*r**4/18 - 2*r**3/3 - 51*r + 3. Let a(x) be the first derivative of p(x). Solve a(m) = 0 for m.
0, 1, 2, 3
Factor -60*c**3 + 12262*c**4 + 4*c**3 + 176*c**2 - 12258*c**4 - 160*c.
4*c*(c - 10)*(c - 2)**2
Suppose -11*f - 3406 = 6087. Let x = -860 - f. Suppose -16/5*r + 2/5*r**4 + 0 + 4/5*r**2 + 2*r**x = 0. Calculate r.
-4, -2, 0, 1
Let n be (1681/2)/((-221)/(-2)) - (-354)/(-4602). Factor 2/17*c**2 + 32/17*c + n.
2*(c + 8)**2/17
Let l(y) = 5*y**5 - 18*y**4 + 2*y**3 + 30*y**2 - 7*y + 3. Let z(n) = 15*n**5 - 55*n**4 + 5*n**3 + 95*n**2 - 20*n + 10. Let u(r) = 10*l(r) - 3*z(r). Factor u(j).
5*j*(j - 2)*(j - 1)**2*(j + 1)
Factor -4142/3*h + 1/3*h**2 + 4289041/3.
(h - 2071)**2/3
Let l = 783 + -1557. Let x = 3874/5 + l. Factor 2/5*n**4 - 2/5*n**2 + 0 - x*n + 4/5*n**3.
2*n*(n - 1)*(n + 1)*(n + 2)/5
Let f be (4/(-24))/(72/(-162)*3/12). Solve 3*h**4 + 0 - f*h**5 + 0*h - 3/2*h**3 + 0*h**2 = 0 for h.
0, 1
Let d = 1460 - 1458. Let l be (240/(-45) - d/4) + 6. Determine a, given that 0*a**3 - l*a**4 + a**2 + 4/3*a + 1/2 = 0.
-1, 3
Suppose 153 = 77*l - 94*l, 0 = -3*b + 2*l + 30. Find i, given that -10/21*i**3 + 2/21*i**b + 0 + 0*i - 4/7*i**2 = 0.
-1, 0, 6
Let x(t) be the second derivative of -t**6/24 - 113*t**5/16 - 555*t**4/16 - 1655*t**3/24 - 275*t**2/4 - 127*t - 11. Factor x(i).
-5*(i + 1)**3*(i + 110)/4
Let c(q) be the first derivative of -q**3 - 33*q**2/2 - 84*q - 1035. Solve c(d) = 0.
-7, -4
Let z = -6790 + 4160. Let h be 24/(-156) - z/26. What is r in h*r + 4 + r**2 - 4 + 9 - 107*r = 0?
3
Let 0*u**3 + 3/2*u**4 + 3/2*u**5 + 0*u**2 + 0 + 0*u = 0. What is u?
-1, 0
Let m(c) be the second derivative of c**4/96 + 39*c**3/8 + 233*c**2/16 + 6213*c. Let m(x) = 0. Calculate x.
-233, -1
Factor -2/13*z**3 + 21904/13 - 132/13*z**2 - 1554/13*z.
-2*(z - 8)*(z + 37)**2/13
Factor 0 - 55/4*w**2 - 15*w + 5/4*w**3.
5*w*(w - 12)*(w + 1)/4
Let n(d) = d**2 + 11*d + 3. Let i be n(-11). Suppose -13 = -2*g - i*u, 2*g - 5*u + 17 = 3*g. Factor -g*f**2 - 3*f**2 - 55*f**4 + 15*f**4 - 30*f**3.
-5*f**2*(2*f + 1)*(4*f + 1)
Let d(n) be the third derivative of n**5/12 + 75*n**4/8 + 110*n**3/3 - 2*n**2 - 247*n. Factor d(a).
5*(a + 1)*(a + 44)
Let u(g) be the second derivative of -g**5/60 + 13*g**4/24 + 57*g**2/2 + 16*g - 2. Let o(x) be the first derivative of u(x). Factor o(v).
-v*(v - 13)
Let f be (-2)/1 - (2 - -6). Let u be ((-48)/6)/(4/f). Solve 57*d**2 - 23*d**2 + 0*d**4 + u*d**3 - 4*d**5 - 30*d**2 - 4*d**4 + 16 - 32*d = 0.
-2, 1
Factor 2/7*w**2 - 6 - 8/7*w.
2*(w - 7)*(w + 3)/7
Let k be (-45)/18 - (4 - 117/(-6)). Let y be 4*(k/(-10))/13. Suppose 0*i**2 + 4*i**3 + y - 6/5*i**5 - 14/5*i - 4/5*i**4 = 0. Calculate i.
-2, -1, 1/3, 1
Let q(c) be the third derivative of -c**7/420 + c**6/45 + 4*c**5/15 - 16*c**4/3 - 34*c**3 + 2*c**2 + 91. Let w(t) be the first derivative of q(t). Factor w(z).
-2*(z - 4)**2*(z + 4)
Let g(z) be the second derivative of -1875*z**6/4 - 7725*z**5/8 - 10205*z**4/24 + 293*z**3/12 - z**2/2 - 983*z. Suppose g(s) = 0. Calculate s.
-1, -2/5, 1/75
Let w be 467*54/(-60) - 3/6. Let x = w + 422. Factor -1/5*r**2 + x*r - 9/5.
-(r - 3)**2/5
Let j = 14/153 - 14864/163557. Let v = j + 25618/60933. Find n such that 2/19*n**2 + 6/19 - v*n = 0.
1, 3
Suppose -55 + 61 = 2*f. Find k, given that -1 - 23 + 135*k**4 - 75*k - 51*k**3 - 81*k**2 - 138*k**4 + 18*k**f = 0.
-8, -1
Suppose 8 - 1 = g. Let k(d) = -d**3 + 6*d**2 + 11*d - 24. Let p be k(g). Factor -1 - 2*z + 8*z**4 - 6*z**p - z**3 - z**4 + 3*z**3.
(z - 1)*(z + 1)**3
Let -j**3 + 4*j**2 + 107*j - 29 - 96*j + 21 + 14 = 0. Calculate j.
-1, 6
Let f = 698 - 694. Factor -6*q**3 - f*q - 40*q**5 + 10*q**2 - 11*q**4 + 9*q**4 + 42*q**5.
2*q*(q - 1)**3*(q + 2)
Suppose 65 + 85 + 401 = 167*i + 50. Let 7/3*u + 2/3 + 5/3*u**i + 3*u**2 + 1/3*u**4 = 0. Calculate u.
-2, -1
Let p(s) = 150*s**2 + 150*s**2 + 152*s**2 + 149 + 42*s - 451*s**2. Let q(u) = 29 + 41 + 80 + 42*u. Let g(z) = 3*p(z) - 2*q(z). Let g(j) = 0. Calculate j.
-7
Let b(a) be the second derivative of -a**4/12 + 18*a**3 + 109*a**2/2 - a + 654. Find h, given that b(h) = 0.
-1, 109
Let p = -78 - -80. What is m in -20 + 272*m**2 - 546*m**2 - 15*m + 279*m**p = 0?
-1, 4
Suppose 18*l - 119*l = 0. Let n(y) be the third derivative of 0*y + 0*y**3 + 9*y**2 - 1/42*y**7 + 0*y**5 + l + 0*y**4 + 1/8*y**6. What is j in n(j) = 0?
0, 3
Let z(t) be the second derivative of -t**4/21 + 748*t**3/7 - 629442*t**2/7 + t - 2338. Factor z(a).
-4*(a - 561)**2/7
Suppose -368 + 67 + 833 = 288*f - 44. Let x = 37/15 - 9/5. Factor -2/9*k - x*k**f + 0 - 4/9*k**3.
-2*k*(k + 1)*(2*k + 1)/9
Let y = 64 + -59. Suppose 0 = 2*c + 2*m - 144, 5*c - y*m - 213 = 147. Factor c + 102*u - 208*u + 82*u + 2*u**2.
2*(u - 6)**2
Let q(w) be the second derivative of -81*w**5/50 - 93*w**4/5 - 1276*w**3/15 - 968*w**2/5 - 6*w - 23. Factor q(y).
-2*(y + 2)*(9*y + 22)**2/5
Let o(y) be the first derivative of y**3/6 + 23*y**2/4 - 25*y - 3804. Factor o(j).
(j - 2)*(j + 25)/2
Let p(t) be the third derivative of -t**7/105 + 253*t**6/30 + 768*t**5/5 + 2313*t**4/2 + 4635*t**3 - 4*t**2 + 43*t + 5. What is m in p(m) = 0?
-3, 515
Let l be (5*(-2)/(-2))/1. Solve 25*f**4 - 5*f**l + 60*f**3 + 14*f**4 - 59*f**4 = 0.
-6, 0, 2
Factor 387/4*t - 1377/4 - 35/4*t**2 + 1/4*t**3.
(t - 17)*(t - 9)**2/4
Let x(c) be the second derivative of 0*c**4 + 1/6*c**3 - 2 - 7*c + 0*c**2 - 1/20*c**5. Factor x(b).
-b*(b - 1)*(b + 1)
Let z be 26976/1686 + ((-222)/17 - 2). Let -24/17*s + 0 - 18/17*s**5 + 142/17*s**3 - z*s**2 - 84/17*s**4 = 0. What is s?
-6, -1/3, 0, 2/3, 1
Factor 81*f**2 + 79*f**2 + 99 - 232*f**2 - 201*f + 78*f**2.
3*(f - 33)*(2*f - 1)
Let i(z) be the first derivative of -z**6/255 + z**4/102 - 39*z + 107. Let v(s) be the first derivative of i(s). Solve v(b) = 0 for b.
-1, 0, 1
Let z(m) be the second derivative of -7*m**5/40 + 59*m**4/24 - 35*m**3/6 - 2*m + 190. Factor z(l).
-l*(l - 7)*(7*l - 10)/2
Suppose 6*h + 9 = 9*h. Suppose -4*r - 8*p + 13*p = -13, h = -3*p. Factor 0*q - q**3 + 3*q - 3*q**4 + q**2 - r*q**3 + 2*q**2.
-3*q*(q - 1)*(q + 1)**2
Let w(m) be the second derivative of m**6/40 + 21*m**5/80 - 433*m**4/16 + 425*m**3/8 - 852*m + 2. What is x in w(x) = 0?
-25, 0, 1, 17
Let i(y) be the second derivative of 0*y**2 + 0 + 1/54*y**4 - 8/27*y**3 - 104*y. Let i(q) = 0. What is q?
0, 8
Let c be (1 + -23)*(14 - 20). Let b = -129 + c. Solve -2 + 163*a + 3*a**b - 1 - 154*a - 9*a**2 = 0.
1
Let p(s) be the second derivative of 2*s**7/63 - 2*s**6/45 - s**5/60 + s**4/36 - 1318*s. Let p(v) = 0. What is v?
-1/2, 0, 1/2, 1
Let p(l) = 106*l + 738. Let t be p(-7). Let q be (-238)/204*7/(147/t). Suppose -q*n**2 - 8/9*n + 0 = 0. Calculate n.
-4, 0
Factor 381*k**3 - 209*k**3 - 196*