*2/2 - s - 1. Let t = 0 + 3. Let m(l) = t*n(l) - w(l). Factor m(b).
(b + 2)**3
Let z = 40 - 19. Let j be 3/2*28/z. Factor 2*b**2 + 2*b**5 + 2*b - j*b**2 - b**3 - 3*b**3.
2*b*(b - 1)**2*(b + 1)**2
Let m(d) = d**4 + 11*d**3 - 12*d**2 + 7. Let t(r) = -r**4 - 5*r**3 + 6*r**2 - 4. Let l(x) = 4*m(x) + 7*t(x). Solve l(s) = 0 for s.
0, 1, 2
Let l be 1 - (-567)/131 - 4. Let c = l + 2/393. Let 0 + 15*r**3 - c*r - 8/3*r**2 = 0. What is r?
-2/9, 0, 2/5
Let h(k) be the second derivative of -k**9/12096 + k**7/1680 - k**5/480 + 2*k**3/3 - 6*k. Let v(p) be the second derivative of h(p). Factor v(f).
-f*(f - 1)**2*(f + 1)**2/4
Let h(l) = -l + 14. Let j be h(11). Suppose -3*x + 3 = -j. What is r in 10/3*r**5 - 2*r**4 - 14/3*r**3 + 4/3*r + 2*r**x + 0 = 0?
-1, -2/5, 0, 1
Suppose 3/5 - k + 1/5*k**2 + 1/5*k**3 = 0. What is k?
-3, 1
Let p(m) = -10*m**2 + 25*m - 10. Let h(s) = 20*s**2 - 50*s + 20. Let q(c) = 4*h(c) + 7*p(c). Factor q(w).
5*(w - 2)*(2*w - 1)
Let s(p) = -31*p**5 - 6*p**4 + 50*p**3 + 16*p**2 - 31*p - 10. Let n(c) = -c**5 - c**3 + c**2 - c - 1. Let i(u) = 4*n(u) - s(u). Find v, given that i(v) = 0.
-1, -2/9, 1
Let l(k) be the second derivative of k**4/38 - 14*k**3/57 - 5*k**2/19 + 10*k. Factor l(a).
2*(a - 5)*(3*a + 1)/19
Suppose 0*t + 0*t = -2*t. Solve -6/7*o**2 + 0 + t*o + 3/7*o**3 = 0.
0, 2
Let t be 86/(-66) - (-3)/3. Let z = 106/11 + t. Find q, given that -4/3 - 49/3*q**2 + z*q = 0.
2/7
Factor 0*a + 0 - 5/3*a**3 + 4/3*a**4 + 2/3*a**2 - 1/3*a**5.
-a**2*(a - 2)*(a - 1)**2/3
Let f be ((-4)/6)/((-6)/(-225)). Let s be ((-10)/6)/(f/10). Find b, given that -2*b**2 - 2/3*b**3 + s*b**4 + 4/3 + 2/3*b = 0.
-1, 1, 2
Suppose -2/5*a**4 - 2/15*a**5 + 4/5*a**2 - 2/15*a + 4/15*a**3 - 2/5 = 0. What is a?
-3, -1, 1
Let z(y) be the first derivative of y**4/4 + y**3/3 + 7. Solve z(r) = 0 for r.
-1, 0
Suppose 7*s + 4 = 9*s. Let l be (s/6 - 1)*-3. What is t in -1/2 + 0*t + 1/2*t**l = 0?
-1, 1
Let y(t) = -t**2 + 4*t + 3. Let v(x) = x. Let b(s) = -6*v(s) + 3*y(s). Factor b(a).
-3*(a - 3)*(a + 1)
Let c = -733/3 + 236. Let j = 9 + c. Factor 0 - j*l**2 + 4/3*l.
-2*l*(l - 2)/3
Let i(c) be the third derivative of c**7/105 + c**6/60 - c**5/15 + 2*c**2. Find l such that i(l) = 0.
-2, 0, 1
Let x be ((-2)/4)/(3/(-150)). Solve 4*o + 0*o + 6*o**2 + 70*o**4 + x*o**5 + 22*o**2 + 69*o**3 = 0 for o.
-1, -2/5, 0
Suppose -2*t + 4 = -t. Let c = t + 4. Factor 4 + 2*r + c*r**2 + 0*r**3 + 8*r + 2*r**3.
2*(r + 1)**2*(r + 2)
Let q(g) be the second derivative of -g**6/300 + g**5/75 - g**4/60 - 2*g**2 - 5*g. Let o(p) be the first derivative of q(p). Suppose o(v) = 0. Calculate v.
0, 1
Let b = 810 - 2429/3. Factor 0 + b*h**2 + 1/3*h.
h*(h + 1)/3
Let o(x) be the second derivative of x**4/12 - x**3/6 - x**2 + x. Factor o(f).
(f - 2)*(f + 1)
Let u(p) be the third derivative of 4*p**2 + 1/12*p**3 + 0*p + 0 + 1/240*p**5 + 1/32*p**4. Factor u(y).
(y + 1)*(y + 2)/4
Suppose 2*a = -2*b + 22, 2*a - 3*b - 22 = -0*a. Suppose -4 = -3*f + a. Factor 0 + 0*j + 9/2*j**3 + 3/2*j**f - 9/2*j**4 - 3/2*j**2.
3*j**2*(j - 1)**3/2
Determine f so that 4/3 + 2/3*f - 2/3*f**2 = 0.
-1, 2
Let x(c) be the first derivative of 3*c**5/20 - 3*c**4/32 - 3*c**3/8 + 3*c**2/16 + 3*c/8 - 19. Determine l so that x(l) = 0.
-1, -1/2, 1
Determine p, given that 225*p**2 - 1 - 217*p**2 - 2*p + 1 = 0.
0, 1/4
Let t(p) be the first derivative of -2*p**3/21 - 2*p**2/7 - 2*p/7 - 2. Suppose t(c) = 0. Calculate c.
-1
Let j be (2/3)/((-2)/(-15)). Find t, given that 0 + 0*t + 6*t**2 - 8*t + j - 3 = 0.
1/3, 1
Let w(b) be the second derivative of 1/6*b**4 + 0*b**2 + 2*b + 1/3*b**3 + 0. Factor w(h).
2*h*(h + 1)
Factor 7*l**2 + 17*l**2 - 21*l**2 - 3.
3*(l - 1)*(l + 1)
Let k(l) be the third derivative of -l**6/120 + l**5/6 - l**4/3 - 7*l**3/6 + 3*l**2. Let m be k(9). Factor 6/5*b**3 + 4/5*b - 14/5*b**m + 0.
2*b*(b - 2)*(3*b - 1)/5
Let k = 89/170 + -2/85. Let n(l) be the second derivative of 0 + 5/24*l**4 - k*l**2 - 1/4*l**3 - 2*l. Let n(v) = 0. What is v?
-2/5, 1
Let g(p) = -500*p**2 + 375*p - 55. Let y(q) = 125*q**2 - 94*q + 14. Let x(f) = 6*g(f) + 25*y(f). Factor x(j).
5*(5*j - 2)**2
Let q(g) = g + 6. Let p be q(-3). Factor 3*v**p + v**4 - 10*v**4 - 6*v**3.
-3*v**3*(3*v + 1)
Determine z, given that 3/2*z**3 - 2*z + 0 + 1/2*z**4 + 0*z**2 = 0.
-2, 0, 1
Let i = -1 + 5. Suppose 0*z = i*z - 20. Solve 0*f**4 + 0*f**2 + 2/5*f**3 - 1/5*f + 0 - 1/5*f**z = 0.
-1, 0, 1
Let x(h) be the second derivative of h**5/20 - 2*h**3/3 - 8*h. Find l such that x(l) = 0.
-2, 0, 2
Let x(q) be the first derivative of q**4/32 - 3*q**2/16 + q/4 - 37. Let x(c) = 0. Calculate c.
-2, 1
Let f(a) be the first derivative of a**5 + 35*a**4/4 + 40*a**3/3 - 40*a**2 + 30. Determine k so that f(k) = 0.
-4, 0, 1
Let a(w) be the first derivative of 16*w - 8*w**2 + 4/3*w**3 - 4. Factor a(u).
4*(u - 2)**2
Let y(t) be the second derivative of t**7/420 + t**6/120 + t**5/120 + 7*t**2/2 + 3*t. Let c(z) be the first derivative of y(z). Factor c(a).
a**2*(a + 1)**2/2
Let x(m) be the third derivative of m**11/831600 - m**9/151200 - m**5/15 + 4*m**2. Let k(l) be the third derivative of x(l). Determine s so that k(s) = 0.
-1, 0, 1
Let g = 0 - -2. Suppose -4*v = 2*i - 16, -5*v + 13 + g = 0. Let 2/7*h**i - 2/7*h**3 + 0 + 0*h = 0. Calculate h.
0, 1
Let p be (-2)/4*-2 + 2. Factor 0*b**5 + 27*b**3 - 4*b**5 - 21*b**2 + 3*b - 15*b**4 + p*b + 7*b**5.
3*b*(b - 2)*(b - 1)**3
Let w(b) = -b**2 - 9*b - 14. Let o be w(-7). Let r(i) be the second derivative of -1/21*i**3 + i + 0*i**2 + o - 1/42*i**4. Factor r(l).
-2*l*(l + 1)/7
Let p = 113 - 113. Let y(w) be the second derivative of p*w**3 + w + 1/48*w**4 + 0*w**2 + 0 + 0*w**5 - 1/120*w**6. Factor y(l).
-l**2*(l - 1)*(l + 1)/4
Let 0 - 8/15*u**2 + 0*u + 2/5*u**4 - 2/15*u**5 + 0*u**3 = 0. What is u?
-1, 0, 2
Let j = -7 - 9. Let b be (12/j)/(15/(-8)). Factor -2/5*n + 2/5*n**3 - b*n**2 + 2/5.
2*(n - 1)**2*(n + 1)/5
Let f = -441 + 2213/5. Suppose 14/5*l**3 + 4/5 - 12/5*l**2 + f*l**4 - 14/5*l = 0. What is l?
-2, -1, 1/4, 1
Determine y so that -2*y + 5*y**2 - 20 - 18*y + y**3 + 4*y**3 = 0.
-2, -1, 2
Let d be ((-8)/70)/(12/(-10)). Let b(f) be the first derivative of -2 + d*f**3 + 0*f**2 + 0*f. Factor b(n).
2*n**2/7
Suppose -1/9*h + 2/9*h**2 + 1/9*h**3 - 2/9 = 0. What is h?
-2, -1, 1
Suppose -3*r - 17 = 5*f, 5*r = -17 - 3. Let a = f - -6. Factor 0*n**2 + 2/3*n**a + 0*n + 0 + 4/3*n**3 + 2*n**4.
2*n**3*(n + 1)*(n + 2)/3
Let w(r) be the second derivative of -r**5/30 + r**4/12 + 2*r**3/3 - 3*r**2/2 + 2*r. Let s(h) be the first derivative of w(h). Suppose s(n) = 0. Calculate n.
-1, 2
What is k in 0 - 1/4*k + 0*k**3 + 1/4*k**5 + 1/2*k**2 - 1/2*k**4 = 0?
-1, 0, 1
Let p(j) be the second derivative of 1/6*j**3 + 3*j + 0*j**4 - 1/60*j**5 - 1/3*j**2 + 0. Factor p(o).
-(o - 1)**2*(o + 2)/3
Let g(r) be the first derivative of r**3/3 - 3*r**2/2 + 2*r + 1. Factor g(q).
(q - 2)*(q - 1)
Let l(q) = -2*q**2 + 12. Let h(o) = -6*o**2 + 35. Let v(k) = -4*h(k) + 11*l(k). Solve v(i) = 0.
-2, 2
Let s(p) be the second derivative of 1/18*p**4 + 0*p**3 + 0 + 1/18*p**7 - 6*p + 0*p**2 + 11/60*p**5 + 8/45*p**6. Find l, given that s(l) = 0.
-1, -2/7, 0
Let a(x) = -36*x**4 - 199*x**3 - 359*x**2 - 263*x - 71. Let w(m) = -18*m**4 - 99*m**3 - 179*m**2 - 131*m - 35. Let h(c) = -3*a(c) + 7*w(c). Factor h(q).
-2*(q + 2)**2*(3*q + 2)**2
Let g(q) = q**3 - 6*q**2 + 4. Let d be g(6). Suppose 0 = 4*v + d*a - 28, -4*v - 3*a + 33 = 2*a. Factor -4/3*r + 2/3 + 2/3*r**v.
2*(r - 1)**2/3
Suppose 9/5 - 6/5*r - 3/5*r**2 = 0. What is r?
-3, 1
Let y = 15/64 - -1/64. Factor -1/2*k - y - 1/4*k**2.
-(k + 1)**2/4
Factor 5/4*o + 5/2*o**4 - 1/2 - 3/4*o**5 - 5/2*o**3 + 0*o**2.
-(o - 1)**4*(3*o + 2)/4
Let w(d) = 50*d**2 + 305*d. Let r(q) = 3*q**2 + 18*q. Let b(n) = 35*r(n) - 2*w(n). Factor b(c).
5*c*(c + 4)
Suppose 4*m - 4 - 4 = 0, -1 = -3*o + m. Let w = o + 1. Factor w*x**5 - 2*x - 7*x**3 + 5*x + x**3 + x**5.
3*x*(x - 1)**2*(x + 1)**2
Let w = 99 + -93. Let z(q) be the third derivative of 0*q - 1/840*q**7 - 1/240*q**w + 0 + 0*q**3 + 0*q**4 - 3*q**2 - 1/240*q**5. Find c such that z(c) = 0.
-1, 0
Let o = -3 + -5. Let r be (o/10)/(2/(-10)). Determine f, given that -3*f**4 + 2*f**5 + 2*f**r - f**4 = 0.
0, 1
Let a be (6/9)/((-8)/(-366)). Suppose 15*f**2 + 0 + 21/4*f**4 - a*f**3 + 49/4*f**5 - 2*f = 0. What is f?
-2, 0, 2/7, 1
Let y(r) = r**3 + 4