 + 2*h**2 + 0 - 32/11*h**3 - 4/11*h.
2*h*(h - 1)**2*(7*h - 2)/11
Suppose 6*a = -0*a + 18. Factor 1/3*w**2 + 0 - 1/6*w**a + 0*w.
-w**2*(w - 2)/6
Let s = 4 + -1. Let r be s/1 - (1 - 2). Determine j, given that -8*j + 0*j**2 - 7*j**r - 1 + 11*j**2 + 13*j**3 - 3 - 5*j**5 = 0.
-2, -1, -2/5, 1
Let y(i) be the second derivative of -i**4/28 - i**3/14 + 3*i**2/7 - 9*i. Suppose y(x) = 0. Calculate x.
-2, 1
Let h be (126/(-3))/((-9)/6). Let j be 2/h*-34 + 3. Let j*m**3 - 2/7*m**5 - 2/7*m + 2/7*m**4 - 4/7*m**2 + 2/7 = 0. Calculate m.
-1, 1
Suppose -21 + 37 = 4*n. Solve 4/7*b**2 + 0*b + 0*b**3 - 2/7*b**n - 2/7 = 0 for b.
-1, 1
Let k(o) = 19*o**2 + 4*o - 15. Let c(m) = -9*m**2 - 2*m + 7. Let b = -5 + 5. Suppose -6*h + h - 30 = b. Let z(v) = h*k(v) - 13*c(v). Factor z(y).
(y + 1)*(3*y - 1)
Let c(w) be the first derivative of -w**6/200 + 3*w**5/100 - 2*w**3/5 + 3*w**2/2 + 4. Let v(q) be the second derivative of c(q). Let v(j) = 0. What is j?
-1, 2
Let d = -327/7 + 47. Determine o so that d*o**3 - 2/7*o**4 + 2/7*o**2 - 2/7*o**5 + 0 + 0*o = 0.
-1, 0, 1
Let o = 11/62 - 1/93. Let p(r) be the second derivative of r**2 + 3*r + o*r**4 + 0 + 2/3*r**3. Factor p(h).
2*(h + 1)**2
Let w(a) = a**2 + a + 1. Let c(f) = 2*f**2 - 15*f**3 + 2*f**2 + 4 + 2*f**2 + 14*f**3. Let r(j) = -2*c(j) + 6*w(j). Let r(v) = 0. Calculate v.
1
Let t = -24 - -67. Let q = t + -26. Factor 21*g**2 + 17*g + q - 37*g - 5 - 28*g.
3*(g - 2)*(7*g - 2)
Suppose -3*c - c = 0. Suppose c = 2*x + 6 - 14. Factor 3 + 1 - 5 - 4*y - 4*y**3 - y**x - 6*y**2.
-(y + 1)**4
Factor -3/4*s**2 - 1/4*s**3 - 1/2*s + 0.
-s*(s + 1)*(s + 2)/4
Let b(k) = -k**3 - 15*k**2 + k + 18. Let o be b(-15). Let r(m) be the first derivative of 1/7*m**2 - 1 + 0*m - 2/21*m**o. Factor r(y).
-2*y*(y - 1)/7
Let f(j) = 8*j**3 - 17*j**2 + 9*j + 3. Let p(o) = 17*o**3 - 34*o**2 + 19*o + 7. Let z(a) = 7*f(a) - 3*p(a). Factor z(c).
c*(c - 3)*(5*c - 2)
Let k(c) = c**5 - c**3 - c**2 + c - 1. Let b(z) = -92*z**5 + 42*z**4 + 140*z**3 - 40*z**2 - 42*z - 14. Let r(u) = -b(u) + 6*k(u). Solve r(t) = 0.
-1, -2/7, 1
Let 0 - 2/3*x**5 + 34*x**4 + 0*x - 578*x**3 + 9826/3*x**2 = 0. Calculate x.
0, 17
Suppose 1/4*w - 1/4*w**2 + 0 = 0. Calculate w.
0, 1
Suppose m + 5*h = -22, 3*m + 5*h = -2*m - 10. Factor 6*i**5 - 2*i**3 - i**m + i**3 - 4*i**5.
2*i**3*(i - 1)*(i + 1)
Let w(s) be the second derivative of -1/6*s**4 + 1/2*s**2 - 3*s + 0*s**3 + 0 + 1/30*s**6 + 0*s**5. Solve w(b) = 0 for b.
-1, 1
Let h(j) = -j**3 - 7*j**2 - 6*j + 6. Let r be h(-6). Factor -r*t**2 - t**2 + 4*t**2.
-3*t**2
Suppose 2*r + p = -2, r + p + 3 = -0*p. Factor 6*q**2 + 2*q**3 + q**4 + r - 2*q - q - q - 6*q**3.
(q - 1)**4
Let b = -17 - -29. Let u = b + 11. What is a in a**4 - a**3 + u - 23 = 0?
0, 1
Let r(l) = 4*l**4 + 11*l**3 + 24*l**2 + 11*l + 9. Let f(h) = 10*h**4 + 28*h**3 + 60*h**2 + 28*h + 22. Let c(a) = 5*f(a) - 12*r(a). Solve c(m) = 0 for m.
-1
Let j = 2 + 5. Let y(w) = -9*w**2 + 12*w - 18. Let t(z) = -4*z**2 + 6*z - 9. Let g(d) = j*t(d) - 3*y(d). Factor g(p).
-(p - 3)**2
Let a(g) be the third derivative of -g**6/24 - g**5/12 + 5*g**4/24 + 5*g**3/6 - 11*g**2. Determine r, given that a(r) = 0.
-1, 1
Let o(z) = 7*z**4 + 6*z**3 - 4*z**2 + 3. Let g(f) = -f**4 - 1. Let j(u) = 3*g(u) + o(u). Factor j(p).
2*p**2*(p + 2)*(2*p - 1)
Let o(l) be the third derivative of l**8/336 + l**7/105 - l**5/30 - l**4/24 - 11*l**2. Solve o(c) = 0.
-1, 0, 1
Let i be 2/(-5) - 65/(-100). Solve 0 - i*m**3 + 0*m - 1/4*m**2 = 0 for m.
-1, 0
Suppose 0 = -2*f - 4 + 12. Let w(h) = h**2 + 9*h + 11. Let r be w(-8). Factor -5/4*m**2 + 1/4 + 5/4*m - f*m**5 - 25/4*m**r + 10*m**4.
-(m - 1)**3*(4*m + 1)**2/4
Let v be (-3)/(-150) + (-7 - -7). Let p = 103/150 - v. Factor -1/3*t**2 + p*t - 1/3.
-(t - 1)**2/3
Suppose 0 = h - 3 - 2. What is u in -h*u**5 + 4*u**5 - u**5 + 2*u**3 = 0?
-1, 0, 1
What is r in 27/2*r - 27 + 1/8*r**4 + 17/8*r**3 + 45/4*r**2 = 0?
-6, 1
Suppose 3*f + 2*i - 6 = 0, 0 = -2*f - i + 6*i + 4. Factor -g**2 - 3*g**2 + 2*g**4 + 0*g**4 + f*g**2.
2*g**2*(g - 1)*(g + 1)
Let o = 1/159 - -313/795. Factor 18/5 + o*u**2 + 12/5*u.
2*(u + 3)**2/5
Let i(c) be the first derivative of -c**4/16 - c**3/8 + c/8 - 32. Factor i(f).
-(f + 1)**2*(2*f - 1)/8
Let w(x) be the second derivative of x**4/66 - x**3/33 - 6*x**2/11 - 7*x. Suppose w(p) = 0. Calculate p.
-2, 3
Let m(f) be the second derivative of -f**7/14 + 9*f**5/20 - f**4/2 - 27*f. Factor m(g).
-3*g**2*(g - 1)**2*(g + 2)
Let l(t) be the first derivative of -t**4/14 + 4*t**3/21 - t**2/7 + 5. Factor l(x).
-2*x*(x - 1)**2/7
Factor 0*k + 2/5*k**2 - 1/5 - 1/5*k**4 + 0*k**3.
-(k - 1)**2*(k + 1)**2/5
Let n be (-1)/(-1 - (-5)/4). Let m(o) = -6*o**3 + 2*o**2 + 6*o + 6. Let g(y) = y**3 - y**2 - y - 1. Let t(v) = n*g(v) - m(v). What is x in t(x) = 0?
-1, 1
Let v be (1/4)/(360/320). Factor -16/9*o**3 - 10/9*o**2 - 8/9*o**4 - v*o + 0.
-2*o*(o + 1)*(2*o + 1)**2/9
Let n = -398 + 2788/7. Solve -2/7*d + 2/7*d**2 - 2/7 + n*d**3 = 0.
-1, 1
Let u(t) be the second derivative of 0 + 0*t**2 - 1/3*t**3 - 1/12*t**4 + 4*t. Factor u(r).
-r*(r + 2)
Let k = 7 + -6. Let g = 1 + k. Factor -1 - 2*l**g - 2*l**3 - l + l**3 + 1.
-l*(l + 1)**2
Let h be (90/(-8))/3 - -4. Suppose -4*y + 2*y = 0. Factor 0*p + 1/4*p**4 + y - 1/4*p**5 - h*p**2 + 1/4*p**3.
-p**2*(p - 1)**2*(p + 1)/4
Let n = 40 - 37. Solve 0 - 1/4*g + 5/4*g**2 - g**n = 0.
0, 1/4, 1
Let h(t) = -3*t**4 + 15*t**3 - 33*t**2 - 33*t + 9. Let s(b) = -2*b**4 + 8*b**3 - 17*b**2 - 17*b + 5. Let r(q) = -5*h(q) + 9*s(q). Factor r(j).
-3*j*(j - 2)*(j + 1)*(j + 2)
Let p(z) be the first derivative of 1/42*z**4 - 1 - 1/21*z**3 + z + 1/70*z**5 + 0*z**2 - 1/105*z**6. Let r(s) be the first derivative of p(s). Factor r(x).
-2*x*(x - 1)**2*(x + 1)/7
Suppose 17 = 4*h - l, 0*h = 5*h + 4*l - 16. Let a(r) be the second derivative of -1/5*r**6 + r + 5/18*r**h + 1/10*r**5 + 0*r**2 + 0 + 1/9*r**3. Factor a(y).
-2*y*(y - 1)*(3*y + 1)**2/3
Let j = -900104 + 4514398/5. Let t = j - 2766. Factor 71*o**3 + t*o + 81/5*o**5 + 4/5 + 279/5*o**4 + 201/5*o**2.
(o + 1)**3*(9*o + 2)**2/5
Let c(z) be the first derivative of -2/5*z**2 + 0*z + 3 + 2/3*z**3. Factor c(o).
2*o*(5*o - 2)/5
Determine z so that -4/11*z**2 - 14/11*z**3 + 14/11*z + 4/11 = 0.
-1, -2/7, 1
Let w(h) = -h**3 - 1. Let l(b) = 6*b**3 - 4*b**2 + 5*b + 3. Let c(m) = -l(m) - 5*w(m). Suppose c(k) = 0. Calculate k.
1, 2
Suppose -27*v + 23*v = -16. Suppose 2/3*i**v + 2/3*i**5 + 2/3*i - 4/3*i**2 - 4/3*i**3 + 2/3 = 0. What is i?
-1, 1
Suppose 6*l = 3*l. Factor l - 8/9*h**3 - 4/9*h + 10/9*h**2 + 2/9*h**4.
2*h*(h - 2)*(h - 1)**2/9
Let -2 - 95/2*q**2 + 81/4*q**5 - 5/4*q**3 + 99/2*q**4 - 19*q = 0. What is q?
-2, -1, -2/9, 1
Suppose 3*j - 3 = 0, 0 = -2*l + 5*j - j + 2. Let b be (2/(-7) + 0)*-1. Factor 4/7*t**l + 0*t**2 - 4/7*t - 2/7 + b*t**4.
2*(t - 1)*(t + 1)**3/7
Let o(h) be the second derivative of -h**4/4 + 7*h**3/2 - 147*h**2/8 + 6*h. Find w such that o(w) = 0.
7/2
Let a = 11 + -12. Let s(v) = v**3 - 2*v**2 + v - 3. Let t(l) = -1. Let c(d) = a*s(d) + 3*t(d). Factor c(i).
-i*(i - 1)**2
Let r(s) be the first derivative of -3/4*s**4 + 3/2*s**2 + 1 - 2*s**3 + 6*s. Factor r(y).
-3*(y - 1)*(y + 1)*(y + 2)
Let n be 3/(((-9)/(-5))/3). Suppose b**3 - 4*b**5 - 3*b**5 + 6*b**n = 0. What is b?
-1, 0, 1
Let l = 87085/44 - 1979. Let x = l - -1/22. Factor -1/2 + 1/2*t**2 - 1/4*t + x*t**3.
(t - 1)*(t + 1)*(t + 2)/4
Let m(n) be the first derivative of -n**3/5 - 12*n**2 - 240*n + 62. Factor m(c).
-3*(c + 20)**2/5
Let s = 17 - 15. Let w = -3/2 + s. Factor -w*g + 1/4*g**3 + 0 - 1/4*g**2.
g*(g - 2)*(g + 1)/4
Suppose -2*q - 46 - 14 = 3*u, -81 = 4*u + 3*q. Let m be 12/u*1/(-2). Factor 2/3*b**2 - 1/3*b**3 + 0 - m*b.
-b*(b - 1)**2/3
Let i(s) be the third derivative of -s**5/60 - 7*s**2. Let w(t) = -10*t**2 - 4*t - 2. Let b = 7 - -1. Let j(y) = b*i(y) - w(y). Factor j(z).
2*(z + 1)**2
Factor 4*r**2 + 24*r + 36 - 4*r**2 + 5*r**2 - r**2.
4*(r + 3)**2
Let z(v) be the second derivative of v**4/4 - 12*v**3 + 216*v**2 + 21*v. Factor z(r).
3*(r - 12)**2
Factor -49 - 4*x**3 + 4*x + 49.
-4*x*(x - 1)*(x + 1)
Let p(y) be the second derivative of -y**6/15 - 3*y**5/10 + 4*y**3/3 + 6*y - 1. Find c, given that p(c) = 0.
-2, 0, 1
Let q be (-30)/(-14) + (-3)/21. Suppose 0*j**q + 14*j**3 - 6*j**4 - 1 - 13*j - j + 2*j**2 + 5 = 0. Calculate j.
-1, 1/3, 1, 2
Let s = -5 + 7. Dete