*q**5 + 5/12*q**4 - 1 + 0*q**3 + 1/6*q**6 - 38*q. Factor f(n).
5*n**2*(n - 1)**2
Suppose 8788*x**4 + 47178*x**3 + 28534*x**3 + 236808*x**2 - 7710*x + 321342*x + 143748 = 0. Calculate x.
-33/13, -1
Determine a so that 44*a**2 + 6*a**3 - 36*a - a**5 + 28*a + 3*a**4 + a**4 - 96 - 9*a**4 = 0.
-4, -3, -2, 2
Let m(j) = -j**3 + 2*j**2 + 2*j + 1. Let t(b) = b**5 + 13*b**4 + 56*b**3 + 73*b**2 - 2*b - 1. Let l(u) = -m(u) - t(u). Factor l(o).
-o**2*(o + 3)*(o + 5)**2
Let q = 12785 + -12781. Let a(l) be the first derivative of 0*l + 1/6*l**3 - 3/16*l**q + 1/20*l**5 + 37 + 0*l**2. Find z, given that a(z) = 0.
0, 1, 2
Let v(h) be the third derivative of h**7/6720 - h**5/960 - 17*h**3/3 + 21*h**2. Let m(z) be the first derivative of v(z). Factor m(p).
p*(p - 1)*(p + 1)/8
Let h(v) be the second derivative of v**5/20 - 7*v**4/2 + 39*v**3/2 + 1027*v. Find n such that h(n) = 0.
0, 3, 39
Solve 8 + 52/3*y**2 + 1/6*y**5 - 9/2*y**3 - 1/3*y**4 - 62/3*y = 0 for y.
-6, 1, 2, 4
Suppose -2*n - m + 43 = -6*m, -29 = -n + 4*m. Suppose 22*s + n = 23*s. Determine o, given that 7*o**3 - 25 - 55*o + s*o**3 - 35*o**2 - 21*o**3 = 0.
-5, -1
Suppose -19*k = -18*k - 4. Solve 9*u**3 - 12*u**2 + 2310*u - 2310*u + 3*u**k = 0.
-4, 0, 1
Let u(j) = 8*j**2 - 79*j + 68. Let k(r) = -22*r**2 + 236*r - 206. Let f(a) = -3*k(a) - 8*u(a). Let f(b) = 0. Calculate b.
1, 37
Suppose 20 - 2/13*p**2 - 126/13*p = 0. Calculate p.
-65, 2
Let v(y) = 19397*y - 232764. Let s be v(12). Find p such that 12/7 + s*p**3 + 4/7*p + 1/7*p**4 - 9/7*p**2 = 0.
-3, -1, 2
Let q(p) be the first derivative of -p**5/5 - p**4/2 + 259*p**3/3 - 254*p**2 + 252*p + 424. Factor q(a).
-(a - 14)*(a - 1)**2*(a + 18)
Let i be 89 + -112 - 510/(-22). Factor i*u + 4/11*u**2 + 2/11*u**3 + 0.
2*u*(u + 1)**2/11
Let g = -53 - -59. Factor -3*m**3 + 9*m**5 - 4*m - g*m**4 - 12*m**2 - 10*m**3 - 10*m**5.
-m*(m + 1)**2*(m + 2)**2
Let r(w) be the second derivative of 392*w**2 + 56/3*w**3 + 4*w + 2 + 1/3*w**4. Factor r(t).
4*(t + 14)**2
Let k(y) = -7*y**2 - 1784*y - 266396. Let w(h) = -h**2 + h + 4. Let o(b) = -k(b) + 4*w(b). Factor o(p).
3*(p + 298)**2
Let i(v) = v**3 + 3. Let n(y) = 5*y**4 + 79*y**3 - 180*y**2 - 3. Let f(l) = i(l) + n(l). Find g such that f(g) = 0.
-18, 0, 2
Let k(y) = y**2 - 53*y - 223. Let t be k(57). Let p(u) be the third derivative of -5*u**2 + 1/20*u**t - 1/2*u**3 + 0*u + 0*u**4 + 0. Factor p(n).
3*(n - 1)*(n + 1)
Let a(c) = 6*c**4 - 339*c**3 - 33*c**2 + 1311*c + 9. Let t(l) = -3*l**4 + 170*l**3 + 17*l**2 - 655*l - 5. Let z(m) = -5*a(m) - 9*t(m). Factor z(f).
-3*f*(f - 55)*(f - 2)*(f + 2)
Let p(k) = 2*k**2 - 2*k - 1. Let i(y) = 35*y**2 - 905*y - 895. Let u(h) = i(h) - 15*p(h). Factor u(v).
5*(v - 176)*(v + 1)
Let y(b) be the first derivative of 2*b**2 + 2*b**4 + 32/5*b**3 - 8/5*b + 48 - 88/25*b**5 - 2*b**6. Solve y(j) = 0 for j.
-1, -2/3, 1/5, 1
Let x(i) = -76*i**4 + 1376*i**3 + 2696*i**2 + 1680*i + 332. Let k(l) = l**4 + l**3 - l**2 - 4*l + 1. Let t(y) = -4*k(y) - x(y). Solve t(o) = 0.
-2/3, -1/2, 21
Let o be 0/(2 - 1/1). Let q be (-19)/((-4959)/(-116))*12/(-32). What is z in q*z**2 + 2/3*z**3 + o + 0*z = 0?
-1/4, 0
Let c(u) = 5*u**3 - 448*u**2 + 4483*u - 800. Let x(m) = -12*m**3 + 894*m**2 - 8965*m + 1600. Let f(n) = -5*c(n) - 3*x(n). Find q such that f(q) = 0.
2/11, 20
Let l(m) = -9*m - 45*m**3 - 76*m**3 + 109*m**3 + 85*m**2 + 17. Let o be l(7). Factor -1/3*p**o + 0 + 4*p**2 - 12*p.
-p*(p - 6)**2/3
Let q(s) = 38*s**4 - 818*s**3 - 2430*s**2 - 2212*s - 834. Let a(k) = 8*k**4 - 164*k**3 - 486*k**2 - 439*k - 167. Let w(b) = -14*a(b) + 3*q(b). Factor w(p).
2*(p - 82)*(p + 1)**3
Let q(l) be the first derivative of -4*l**2 - 98 - 4*l - 4/3*l**3. Factor q(u).
-4*(u + 1)**2
Let r = 23647/335 - 4716/67. Factor 0 - 1/5*f**2 + r*f - 2/5*f**3.
-f*(f + 1)*(2*f - 1)/5
Let j = -372 + 564. Let h be 2/(2/2*160/j). Solve 12/5 - h*t + 3/5*t**2 = 0 for t.
2
Let q(v) be the first derivative of -3*v**4/4 + 11*v**3/3 + 192*v**2 - 260*v + 1977. Factor q(r).
-(r - 13)*(r + 10)*(3*r - 2)
Let h(a) = a**2 + 77*a + 552. Let d be h(-8). Factor d + 1/10*s**2 + 0*s.
s**2/10
Suppose -184718 = -41*k - 184636. Let 72/11 + 6/11*r**k + 42/11*r = 0. What is r?
-4, -3
Let -1798/5 + 1796/5*h + 2/5*h**2 = 0. What is h?
-899, 1
Suppose -1023516/17*v**2 + 0 - 484/17*v**4 - 38880/17*v**3 + 1062882/17*v - 2/17*v**5 = 0. What is v?
-81, 0, 1
Suppose -200 - 3*j**2 + 135/2*j - 1/2*j**3 = 0. What is j?
-16, 5
Suppose 4*f = -2*r + 262, -2*f - 3*f + 3*r + 311 = 0. Suppose -52 = 6*g - f. Factor 3/5*y + 0 - 3/5*y**g.
-3*y*(y - 1)/5
Solve -4758*k**2 + 2*k**4 + 4580*k**2 - 4*k**4 - 120*k + 123*k**3 = 0 for k.
-1/2, 0, 2, 60
Determine z so that 110*z**3 + 130*z - 30*z - 5*z**4 - 79*z**2 - 126*z**2 = 0.
0, 1, 20
Let l(z) be the third derivative of 27*z**7/35 - 51*z**6/4 + 2407*z**5/30 - 841*z**4/4 + 8166*z**2. Factor l(a).
2*a*(a - 3)*(9*a - 29)**2
Suppose -3*l - 9 = 5*c, 102*l = -3*c + 98*l - 12. Let w(a) be the first derivative of -1/12*a**4 + 1/30*a**5 - 5 + c*a**3 + 0*a + 0*a**2. Factor w(p).
p**3*(p - 2)/6
Let o(n) = 2*n + 1. Let x(v) = 25*v - 25. Let g(h) = -100*o(h) + 4*x(h). Let w be g(-2). Factor w*t**2 - 2/5*t + 2/5*t**3 + 0.
2*t*(t - 1)*(t + 1)/5
Let f = 366752 + -366746. Let -46/5*h + f*h**2 + 4 - 2/5*h**4 - 2/5*h**3 = 0. What is h?
-5, 1, 2
Let g = 4912528/9 - 545836. Factor 92/9 + 32/3*c + g*c**2.
4*(c + 1)*(c + 23)/9
Let x(j) be the first derivative of -2*j**5/35 + j**4/2 - 34*j**3/21 + 17*j**2/7 - 12*j/7 + 1029. Determine n, given that x(n) = 0.
1, 2, 3
Factor 81*x - 12*x**3 - 18*x**2 + 2*x**4 + 0 + 1/3*x**5.
x*(x - 3)**2*(x + 3)*(x + 9)/3
Let 24*o - 88/7 - 94/7*o**2 + 2/7*o**4 + 12/7*o**3 = 0. Calculate o.
-11, 1, 2
Suppose 0 = -3*o + 59 - 50. Let y be (2/2)/(2/26). Solve -y*c**2 + 25*c**2 + 6*c**o - 4*c - 14*c**2 = 0 for c.
-2/3, 0, 1
Let s(k) = -6*k + 63. Let q be s(10). Let w be -37 + 41 - (q - 1). Factor 1/3*p**w - 4/3 + p.
(p - 1)*(p + 4)/3
Let p(b) be the first derivative of -b**7/7560 + b**6/1080 - b**4/54 + b**3/3 - 45*b - 62. Let n(q) be the third derivative of p(q). Factor n(f).
-(f - 2)**2*(f + 1)/9
Let t(i) = -69*i**4 + 38777*i**3 - 5002595*i**2 - 3684272*i - 670819. Let b(u) = -2*u**4 + 6*u**3 - u + 3. Let l(g) = -3*b(g) - t(g). Let l(x) = 0. What is x?
-2/5, -1/3, 259
Suppose 4*g + 63 = 5*i, -3*i + 50*g + 39 = 47*g. Factor 22 + 2*p**2 + 5*p - 6 + i*p + 14.
2*(p + 3)*(p + 5)
Let i = 367 - 137. Suppose f = 2*k + 42, -8*f + 3*f = -5*k - i. Factor 1 - f*j**2 - 25*j + 55*j**2 - 1.
5*j*(j - 5)
Let o(c) = c**5 - c**4 - c**3 - c**2 + c. Let q(s) = s**3 + 8*s**5 + 14*s - 20*s - 3*s**2 - 4*s**4 + 13*s + 2*s**4. Let g(a) = 21*o(a) - 3*q(a). Solve g(m) = 0.
-2, -1, 0
Let z be ((-432)/20)/(4/((-480)/(-2))). Let n = z + 9082/7. Suppose 8/7 + n*b**3 - 10/7*b - 2/7*b**4 - 6/7*b**2 = 0. Calculate b.
-1, 1, 4
Suppose -12*x + 16 - 338 = -209*x + 269. Factor 33*o + 12 + 3/2*o**4 + 63/2*o**2 + 12*o**x.
3*(o + 1)**2*(o + 2)*(o + 4)/2
Suppose -2*h + 238 - 22 = 0. Let y = h + -105. Factor -9487*c**2 - 8*c + 6*c**y - 10*c + 9502*c**2 - 3*c**4.
-3*c*(c - 3)*(c - 1)*(c + 2)
Let i = -3 + -56. Let n = i - -61. Solve -16*b**3 + 4*b**3 - 4*b**4 + 3*b - 11*b + 4*b**5 + 23*b**n - 3*b**2 = 0.
-2, 0, 1
Let c(u) be the second derivative of u**6/210 + 67*u**5/140 - 93*u**4/28 + 353*u**3/42 - 71*u**2/7 + 3*u + 240. Let c(n) = 0. Calculate n.
-71, 1, 2
Let i = -67 + 51. Let v = -4 - i. Find h, given that -7*h - 4*h**2 + 0*h**2 - v*h - 5*h - 36 = 0.
-3
Let 192 - 17*y**4 + 20*y**4 - 2809*y**2 + 72 + 2542*y**2 + 54*y**3 - 54*y = 0. Calculate y.
-22, -1, 1, 4
Let s be 54/72*16/6. Let u be (8/56)/(-2*6/(-48)). Factor -2/7*x**4 - u*x**3 + 2/7*x**s + 4/7*x + 0.
-2*x*(x - 1)*(x + 1)*(x + 2)/7
Let a be 3434 + -3419 - (-73)/(-5). Find g, given that 2/5*g**3 - 16/5 - a*g + 16/5*g**2 = 0.
-8, -1, 1
Let m(y) be the second derivative of -y**5/10 + 29*y**4 + 175*y**3/3 - 14*y + 69. Determine q, given that m(q) = 0.
-1, 0, 175
Let z = 50 + -62. Let v be 1 - 3 - (-16)/z*-3. Factor 8*i**2 - 12*i**2 - i**v - 30*i - 25.
-5*(i + 1)*(i + 5)
Suppose b - 10 = 2*t - 0*t, 0 = -5*t - 15. Suppose -b*f + 2 = -2*i, -2*i - i + 17 = 4*f. What is x in -2/5 - 18/5*x - 48/5*x**f - 32/5*x**3 = 0?
-1, -1/4
Suppose -20/13*h**4 + 0 + 74/13*h**3 - 120/13*h**2 + 72/13*h + 2/13*h**5 = 0. Calculate h.
0, 2, 3
Let t(h) = -h*