*i - 3 = 0 for i.
-1, 1
Factor 8*o**2 - 2*o + 40/3*o**3 - 4/3.
2*(2*o + 1)**2*(5*o - 2)/3
Let l(h) = 6*h**5 + 26*h**4 + 34*h**3 + 10*h**2 + 2*h. Let a(q) = q**4 + q**2 - q. Let o(i) = -2*a(i) - l(i). Let o(y) = 0. What is y?
-3, -1, -2/3, 0
Let d(s) be the third derivative of -s**9/22680 + s**7/3780 - 11*s**4/24 - 8*s**2. Let v(r) be the second derivative of d(r). Factor v(x).
-2*x**2*(x - 1)*(x + 1)/3
Suppose 0 = -20*g - 16*g + 108. Let f(l) be the second derivative of -l + 1/2*l**2 + 1/12*l**4 + 0 + 1/3*l**g. Find t such that f(t) = 0.
-1
Let z = 15107/6 + -75463/30. Factor 16/5 + z*g - 4/5*g**2.
-4*(g - 4)*(g + 1)/5
Let o(a) = -8*a**4 - 128*a**3 - 476*a**2 - 344*a + 4. Let x(h) = h**4 - h**3 - h - 1. Let u(c) = -o(c) - 4*x(c). Factor u(z).
4*z*(z + 1)*(z + 3)*(z + 29)
Let x(u) be the third derivative of 0 - 1/42*u**4 + 0*u + 1/210*u**6 + 1/105*u**5 - 2/21*u**3 - 7*u**2. Factor x(f).
4*(f - 1)*(f + 1)**2/7
Suppose -4*x - 2*z = -14, -5*x = -0*z + 3*z - 19. Let t = 1426 - 1426. Suppose 0*q + t + 3/2*q**3 + 3/2*q**x = 0. What is q?
-1, 0
Factor -14/5*c**3 - 4/5*c**2 + 2*c + 0.
-2*c*(c + 1)*(7*c - 5)/5
Let h be (5 - (-3 + 2))/2. Let -47*d**2 - 72*d**h - 33*d**2 + d**5 - 28*d**4 - 5*d**5 - 32*d + 0*d**5 = 0. What is d?
-2, -1, 0
Let f be (-72)/(-28) + 24/84. Solve -f*r**2 - 2/7*r**5 + 6/7*r**4 - 6*r - 18/7 + 12/7*r**3 = 0 for r.
-1, 3
Let y(a) be the second derivative of -a**4/78 - 2*a**3/39 + 3*a**2/13 - 66*a. Factor y(k).
-2*(k - 1)*(k + 3)/13
Let l = -79 - -63. Let p(d) = d**3 + 11*d**2 + 3. Let u(w) = -4*w**3 - 56*w**2 - 16. Let k(g) = l*p(g) - 3*u(g). Factor k(y).
-4*y**2*(y + 2)
Let w = 1483 - 4447/3. Find v, given that 0 - w*v**2 - 2/3*v = 0.
-1, 0
Suppose 0 = 45*u - 49 - 41. Let i(q) be the first derivative of 5 - 11/16*q**u + 2/3*q**3 - 7/32*q**4 + 1/4*q. Suppose i(m) = 0. Calculate m.
2/7, 1
Let y(g) = -g**3 + 12*g**2 - 36*g + 2. Let a be y(6). Let m(d) be the second derivative of 1/5*d**5 + 2*d**3 + d**4 - d + a*d**2 + 0. Solve m(w) = 0 for w.
-1
Let j = 516568/92979 + -2/10331. Let c(o) be the first derivative of 8/3*o + 16/3*o**2 + 19/6*o**4 + j*o**3 + 14/15*o**5 - 4 + 1/9*o**6. Factor c(k).
2*(k + 1)**3*(k + 2)**2/3
Let v be (396 - -1)/(-23 - 239). Let b = -2/131 - v. Factor l + 0 - l**3 + b*l**2 - 3/2*l**4.
-l*(l - 1)*(l + 1)*(3*l + 2)/2
Suppose 0 = 5*n + 3*a - 6, -2*n - n - 5*a - 6 = 0. Factor k**4 - 24*k**3 + k + k**2 - 2*k**4 + 23*k**n.
-k*(k - 1)*(k + 1)**2
Let g be (-12)/(-200)*10/72. Let r(d) be the third derivative of 0 - 1/20*d**5 - 1/6*d**3 - 1/8*d**4 + 0*d + 3*d**2 - g*d**6. Let r(y) = 0. What is y?
-1
Let v(a) be the first derivative of a**6/30 + 6*a**5/25 - 2*a**4/5 - 2*a**3/5 + 7*a**2/10 - 49. Suppose v(p) = 0. What is p?
-7, -1, 0, 1
Let b(x) be the third derivative of -x**7/840 + 13*x**6/720 - x**5/40 - x**3/2 - 8*x**2. Let n(t) be the first derivative of b(t). Factor n(j).
-j*(j - 6)*(2*j - 1)/2
Let l(q) be the second derivative of q**5/20 - 5*q**4/4 + 8*q**3/3 - 13*q**2 + 3*q + 10. Let k be l(14). Factor -4/11*i + 2/11*i**k + 0.
2*i*(i - 2)/11
Let s(t) be the first derivative of 0*t**3 - 3/2*t**2 + 6*t + 2 + 1/4*t**4. Let i(x) be the first derivative of s(x). Factor i(k).
3*(k - 1)*(k + 1)
Factor 1/6*x - 1/12 + 1/4*x**2.
(x + 1)*(3*x - 1)/12
Determine v so that -3*v**4 - 47*v**2 + 321*v**3 - 18*v**4 - 240*v + 240*v - 43*v**2 = 0.
0, 2/7, 15
Let f(g) = 6*g**3 - 18*g**2 - 6*g + 8. Let i(c) = -9*c**3 + 27*c**2 + 9*c - 13. Let n(d) = 7*f(d) + 5*i(d). Factor n(s).
-3*(s - 3)*(s - 1)*(s + 1)
Find d, given that 40*d**2 + 12 + 10358*d**3 + 212 - 10362*d**3 + 208*d = 0.
-2, 14
Let l(r) = -2*r**3 + 117*r**2 + 58*r + 59. Let y be l(59). Factor y - 2/9*g**2 + 0*g.
-2*g**2/9
Let i(p) be the first derivative of p**6/8 - 87*p**5/20 + 447*p**4/8 - 621*p**3/2 + 5103*p**2/8 - 2187*p/4 - 56. What is q in i(q) = 0?
1, 9
Let a(i) be the third derivative of i**8/1320 - 3*i**7/1540 + i**6/990 + i**3 + 6*i**2. Let u(c) be the first derivative of a(c). Factor u(q).
2*q**2*(q - 1)*(7*q - 2)/11
Let z = 19 + 10. Factor 56*i**2 - z*i**3 - 194*i**4 - 29*i**5 + 3*i**3 - 58*i**4 - 8*i - 133*i**5.
-2*i*(i + 1)**2*(9*i - 2)**2
Let h be (32 + 1)*(-42)/14. Let j = h - -499/5. Solve -16/5 - j*a**2 + 16/5*a = 0.
2
Suppose 0 = -4*m + 5*u + 17, 0 = -3*m - 2*u - 2*u - 26. Let y(t) = t - 1. Let i(h) = 3*h**2 - 15*h - 8. Let n(s) = m*y(s) + i(s). Factor n(l).
(l - 6)*(3*l + 1)
Let o = -31 - -35. Factor -7*m**5 - 4*m**2 + 4*m**o - 24*m**3 + 28*m**3 + 3*m**5.
-4*m**2*(m - 1)**2*(m + 1)
Solve -36*t**3 - 52109*t - 1019*t**2 - 110100*t + 7995*t**2 - 174963*t - 75272 = 0.
-2/9, 97
Let c(u) = 21*u**3 - 2*u**2 - 7*u. Let n(x) = 23*x**3 - x**2 - 6*x. Let z(w) = -4*c(w) + 3*n(w). Factor z(j).
-5*j*(j - 1)*(3*j + 2)
Let q = 1211/545 - 155/109. Factor 8/5*o + 3/5*o**2 - 1/5*o**4 - 2/5*o**3 + q.
-(o - 2)*(o + 1)**2*(o + 2)/5
Find f such that 2/3*f**3 - 18*f**2 + 162*f - 486 = 0.
9
Let u(b) be the third derivative of -2/315*b**7 - 1/60*b**6 + 0*b + 0 + 1/90*b**5 + 1/12*b**4 - 20*b**2 + 1/9*b**3. Determine i so that u(i) = 0.
-1, -1/2, 1
Let k(f) be the first derivative of 0*f - 2/5*f**5 + 0*f**2 + f**4 + 2*f**3 - 36. Factor k(z).
-2*z**2*(z - 3)*(z + 1)
Let q(k) be the first derivative of -2*k**6/3 + 8*k**5 - 8*k**4 - 40*k**3/3 + 18*k**2 - 60. Find a such that q(a) = 0.
-1, 0, 1, 9
Let a(n) = -9 + 0*n**2 + 7*n**2 - 6*n**3 - n**2. Let i(v) = 11*v**3 - 13*v**2 + 19. Let j = 4 - 1. Let h(y) = j*i(y) + 5*a(y). Factor h(l).
3*(l - 2)**2*(l + 1)
Let t(p) be the second derivative of -p**6/40 - 3*p**5/20 - p**4/4 + 5*p**2 - 21*p. Let z(l) be the first derivative of t(l). Suppose z(w) = 0. What is w?
-2, -1, 0
Let b(s) = 2*s**4 + s**3 - s - 1. Let m(j) = 12*j**4 - 17*j**3 + 14*j**2 - 5*j - 2. Let i(v) = 2*b(v) - m(v). Find q such that i(q) = 0.
0, 3/8, 1
Let b(w) be the first derivative of -w**7/280 - w**6/60 - w**5/40 + w**3 + 2. Let y(d) be the third derivative of b(d). Factor y(k).
-3*k*(k + 1)**2
Let c(u) be the third derivative of u**6/60 + 5*u**5/6 + 143*u**4/12 - 169*u**3/3 + 2*u**2 + 142*u. Let c(m) = 0. Calculate m.
-13, 1
Let b = 224 + -196. Suppose b*g = 19*g + 36. Let 0 - 4*f**3 - 4/3*f + 4/3*f**g + 4*f**2 = 0. What is f?
0, 1
Let l(x) be the first derivative of -215*x**3/3 + 110*x**2 - 5*x - 72. Factor l(u).
-5*(u - 1)*(43*u - 1)
Let a be (1376/(-6020))/(2 - 36/15). Suppose a*d**3 - 2/7*d**2 + 2/7*d**4 + 0 - 4/7*d = 0. Calculate d.
-2, -1, 0, 1
Let k = 1/13 - -99/65. Let h be 26/5 + (-3 - -10 - 11). Determine j so that -8/5*j**3 - 2/5*j**4 - h*j**2 + k*j + 8/5 = 0.
-2, -1, 1
Let h(y) = 2*y**2 - 1. Let i(m) = 17*m**2 - 17*m + 8. Let b(d) = -24*h(d) + 3*i(d). Factor b(z).
3*(z - 16)*(z - 1)
Let l be 8/(-3)*3*-1. Let -n**2 + n**4 - n**3 + l*n - 2*n - 2*n - 3*n = 0. Calculate n.
-1, 0, 1
Suppose -4*v - 3 + 18 = -a, 5*a = 4*v - 11. Let i be (-24)/v + -1 + 9. Find b such that 1/6*b**i + 0 - 1/6*b = 0.
0, 1
Suppose 2*m - 5*m = 3*t - 12, -2*t + 2*m + 16 = 0. Let v(o) = -14*o**2 - 6*o + 17. Let x(z) = 5*z**2 + 2*z - 6. Let c(n) = t*v(n) + 17*x(n). Factor c(a).
a*(a - 2)
Factor 3 + 7 - 30*h**2 + 0*h + 7*h - 62*h.
-5*(h + 2)*(6*h - 1)
Let f(j) = -3*j. Let a be f(-1). Find x such that -5*x**3 + 7*x**a - 2*x**3 + 4 + 8*x**2 + 2*x**3 + 10*x = 0.
-2, -1
Let t = 1008 - 12095/12. Let i(j) be the first derivative of t*j**3 - 1/2*j + 1/8*j**2 + 5. Factor i(o).
(o - 1)*(o + 2)/4
Factor -1/3*q**3 - 75*q - 14*q**2 - 108.
-(q + 3)**2*(q + 36)/3
Let f(w) be the first derivative of -w**4/3 - w**3/2 - 37*w + 30. Let s(d) be the first derivative of f(d). What is b in s(b) = 0?
-3/4, 0
Let w(z) = 2*z**2 + 3*z - 3. Let o be w(-3). Suppose 5*x + o = 7*x. Factor 27 + 45*g**4 + 30*g**x + 5*g**2 - 27 + 20*g**5.
5*g**2*(g + 1)**2*(4*g + 1)
Let i(k) be the first derivative of -1/18*k**6 + 0*k**2 - 14 + 2/15*k**5 + 0*k - 2/9*k**3 + 1/12*k**4. Determine j so that i(j) = 0.
-1, 0, 1, 2
Let u be (6/(-144))/((-1)/3). Let m(w) be the third derivative of 0*w**3 - 1/20*w**5 + 0*w - u*w**4 + 0 + 3*w**2. Factor m(v).
-3*v*(v + 1)
Let l(r) = -r**4 + r**2 - 1. Let h be (2 - 0)/2*-3. Let q be 14/(-28) - 2/4. Let i(p) = -9*p**3 - 9*p**2 + 3. Let o(u) = h*l(u) + q*i(u). Solve o(y) = 0 for y.
-2, -1, 0
Suppose -16 + 51 = 7*t - 28. Suppose 5/3*f**3 - 15*f - 2/3*f**4 - t + 7*f**2 = 0. Calculate f.
-3, -1/2, 3
Let 