2*y**3/3 + 7*y**2. Find b, given that r(b) = 0.
-1, 1
Let m = 30 - 44. Let l be 1/m*(-6 + -2). Factor -l*u**2 + 4/7*u**4 - 2/7*u**5 + 2/7*u + 0 + 0*u**3.
-2*u*(u - 1)**3*(u + 1)/7
Factor 37/2*a**2 + 1/2*a**4 - 30*a - 5*a**3 + 18.
(a - 3)**2*(a - 2)**2/2
Let y = -16 + 50/3. Factor -y - 4/3*h - 2/3*h**2.
-2*(h + 1)**2/3
Suppose -17 = -5*q + 2*s, -5*q - 3*s = -0*s - 37. Suppose -3*g**3 - g**2 + 3*g**3 - q*g**3 + 4*g**3 = 0. What is g?
-1, 0
Let u(a) be the second derivative of a**5/150 - a**4/30 + a**3/15 - 3*a**2/2 - 2*a. Let q(s) be the first derivative of u(s). Factor q(c).
2*(c - 1)**2/5
Suppose l + i + 15 = 5*i, i = -3*l + 20. Factor 1/3*p**3 + 0*p**2 + 2/3*p**4 + 0*p + 1/3*p**l + 0.
p**3*(p + 1)**2/3
Factor 0*x**3 + 3*x**3 - 20*x**2 + 3*x**3 - 16 - 2*x**3 + 32*x.
4*(x - 2)**2*(x - 1)
Let b be 64/2*2/4. Let q be (-4)/b + -2 + 3. Factor q*o**3 + 1/4*o**4 + 0 + 0*o + 1/2*o**2.
o**2*(o + 1)*(o + 2)/4
Solve 0 + 0*d - 2/5*d**2 + 2/5*d**3 = 0 for d.
0, 1
Let i = -21 - -23. Determine v so that 0 + 4/5*v - 2*v**i = 0.
0, 2/5
Let y(f) be the first derivative of 8/15*f**3 + 4/5*f + 1/10*f**4 + f**2 - 2. Factor y(d).
2*(d + 1)**2*(d + 2)/5
Suppose 15 = -0*q + 3*q. Suppose 3*w + 0*w + 2*v - 16 = 0, -23 = w - q*v. Factor w*c - 3*c - c**2 + 0*c - c.
-c*(c + 2)
Let g(p) be the second derivative of p**4/6 + p**3 + 2*p**2 + 19*p. Let g(k) = 0. Calculate k.
-2, -1
Suppose 0 = -c + 4*d - 20, -2*c + 3*d = 2*c + 41. Let b be (c/6)/(4/(-6)). Suppose 0 + 0*n - 2/5*n**3 + 1/5*n**b + 1/5*n**4 = 0. What is n?
0, 1
Factor 5*y**2 - 3*y**2 - 211*y**3 + 213*y**3.
2*y**2*(y + 1)
Let n(b) be the first derivative of b**6/2 + 3*b**5/5 + 3. Determine f, given that n(f) = 0.
-1, 0
Let g(c) = 2*c**4 - 10*c**3 + 10*c**2 - 6*c - 4. Let m(p) = -2*p**4 + 9*p**3 - 9*p**2 + 5*p + 3. Let k(d) = -3*g(d) - 4*m(d). Determine f, given that k(f) = 0.
0, 1
Let g(c) be the second derivative of -c**7/98 - c**6/35 + 9*c**5/140 + c**4/7 - 2*c**3/7 + 9*c. Suppose g(m) = 0. Calculate m.
-2, 0, 1
Let x(s) be the third derivative of -s**7/70 + s**6/40 + s**5/20 - s**4/8 + 6*s**2. Suppose x(k) = 0. What is k?
-1, 0, 1
Let b(r) be the third derivative of -r**7/525 - 2*r**6/75 - 53*r**2. Factor b(f).
-2*f**3*(f + 8)/5
Let g(f) = -4*f + 2. Let z(u) = -3*u - 5*u - u**2 + 5 + 0*u. Let p(c) = 5*g(c) - 2*z(c). Find d such that p(d) = 0.
0, 2
Let w be (-9)/15 - (-3)/5. Factor 9*r**4 + 7*r**5 - 4*r**3 - 9*r**2 + 0*r**2 - 2*r - r**3 + w*r**3.
r*(r - 1)*(r + 1)**2*(7*r + 2)
Let g(b) = -b + 1. Let k be g(-1). Let c be k/(-4)*2*-3. Let 32/7*n**5 + 2/7 - 2*n**c + 46/7*n**2 - 18/7*n - 48/7*n**4 = 0. Calculate n.
-1, 1/4, 1
Suppose j + 5*t = 17, 6*j - 4*t + 4 = 2*j. Suppose j*q = 3 + 1. Factor -8*a + 0*a**3 + q*a**4 - 4*a**4 - 8 + 4*a**3 + 6*a**2.
-2*(a - 2)**2*(a + 1)**2
Let j = -67/79 + 14337/790. Let m = j - 64/5. Factor 0 - 2*z - 6*z**2 - m*z**3 - z**4.
-z*(z + 2)**2*(2*z + 1)/2
Let w(c) be the second derivative of -c**4/30 - 2*c**3/15 + 5*c. Factor w(k).
-2*k*(k + 2)/5
Let o(k) be the first derivative of -k**5/5 + k**4/2 - 5*k**2 - 3*k - 8. Let f(h) = -h**4 - h**3 - h. Let d(a) = 4*f(a) - o(a). Factor d(s).
-3*(s - 1)*(s + 1)**3
Factor -4*o**3 - 10 + 38*o - 8 + 14*o - 30.
-4*(o - 3)*(o - 1)*(o + 4)
Let l(m) be the third derivative of -m**6/120 - m**5/30 + 7*m**4/24 - 2*m**3/3 - 27*m**2. Factor l(d).
-(d - 1)**2*(d + 4)
Let m(b) be the second derivative of b**7/42 - b**6/15 - b**5/10 + b**4/3 + b**3/6 - b**2 + 7*b. Factor m(y).
(y - 2)*(y - 1)**2*(y + 1)**2
Suppose -3 = 8*h - 43. Let d(c) be the second derivative of -c**2 + 1/10*c**h - 1/2*c**4 + c**3 + 2*c + 0. Factor d(i).
2*(i - 1)**3
Let g(l) be the first derivative of 5 + 1/4*l + 1/12*l**3 + 1/4*l**2. Let g(y) = 0. Calculate y.
-1
Let k(t) be the third derivative of t**7/105 - t**6/15 + t**5/5 - t**4/3 + t**3/3 - 18*t**2. Factor k(w).
2*(w - 1)**4
Factor 0*a**4 + 3/7*a + 3/7*a**5 - 6/7*a**3 + 0 + 0*a**2.
3*a*(a - 1)**2*(a + 1)**2/7
Let b(r) be the third derivative of -r**8/2880 - r**7/840 - r**6/1080 - r**4/8 - 2*r**2. Let t(y) be the second derivative of b(y). Factor t(a).
-a*(a + 1)*(7*a + 2)/3
Let k = -19 + 21. Let v(s) be the second derivative of 0*s**k + 1/9*s**3 - 1/30*s**5 + 0*s**4 - 2*s + 0. Factor v(q).
-2*q*(q - 1)*(q + 1)/3
Let -r**2 - 4*r**4 - 20*r**3 + 2*r**2 + 3*r**2 + 8*r + 12*r**3 = 0. Calculate r.
-2, -1, 0, 1
What is v in 1/5*v**3 + 0*v - 1/5*v**4 + 0 + 0*v**2 = 0?
0, 1
Suppose 4*c + n = 22, 2*n + 23 = 3*c + 6*n. Let o(p) be the third derivative of 0*p + 1/6*p**3 - 2*p**2 + 0 - 1/6*p**4 + 1/15*p**c. Let o(t) = 0. Calculate t.
1/2
Factor 3*b - 15*b - 5*b**2 + 9*b**2 + 4 + 4*b.
4*(b - 1)**2
Suppose 0 = -m - h - 1 + 4, -4*m + 12 = -2*h. Factor 3/2*d**2 + 3/2*d**3 + 0 - m*d.
3*d*(d - 1)*(d + 2)/2
Let i(u) be the third derivative of u**7/630 - u**5/180 - 7*u**2. Factor i(y).
y**2*(y - 1)*(y + 1)/3
Let s(z) be the first derivative of 4*z**3/3 + 6*z**2 - 16*z - 20. Determine f, given that s(f) = 0.
-4, 1
Let i(q) be the third derivative of -q**8/11200 + q**7/4200 - 5*q**4/24 + 5*q**2. Let d(f) be the second derivative of i(f). Factor d(h).
-3*h**2*(h - 1)/5
Let c be (-12)/(-18)*9/2. Determine u, given that u - 3*u + 7*u - c*u**2 + 2 = 0.
-1/3, 2
Let p(y) = -4*y - 10. Let z be p(-3). Factor -10/7*f + 4/7 - 2*f**z.
-2*(f + 1)*(7*f - 2)/7
Let p(k) be the second derivative of -2/7*k**2 + 1/21*k**3 + 3*k + 1/42*k**4 + 0. Factor p(t).
2*(t - 1)*(t + 2)/7
Let u = 1014 - 1011. Let 0*m + 0 + 1/5*m**u - 1/5*m**2 = 0. What is m?
0, 1
Let c(y) be the third derivative of y**7/840 + 11*y**6/120 + 121*y**5/40 + 1331*y**4/24 + 14641*y**3/24 - 37*y**2. Find f such that c(f) = 0.
-11
Let g be 72/4 - (2 + -1). Suppose h - 2*w = -7 - 1, h = -3*w + g. Determine f, given that 2*f**5 - 2*f**4 - 2*f - 2 + 4*f**h + 4*f**3 - f**5 - 3*f**5 = 0.
-1, 1
Let o(v) be the third derivative of 0*v + 0 + 0*v**3 + 0*v**5 - 1/120*v**6 + 0*v**4 + 2*v**2. Factor o(y).
-y**3
Determine x, given that 24*x**2 + 4*x**3 - 11*x**3 + 0*x**3 - 7*x**3 + 8*x = 0.
-2/7, 0, 2
Let n(l) be the third derivative of l**5/240 + l**4/96 + 10*l**2. Solve n(d) = 0 for d.
-1, 0
Let f(c) be the first derivative of 3*c**5/5 + 9*c**4/4 + 2*c**3 + 9. Factor f(m).
3*m**2*(m + 1)*(m + 2)
Suppose -4*a = 4*w - 24, -4*w = 3*a + 3 - 24. Determine n so that n**2 - n**w + n**2 - n**4 + 0*n**4 = 0.
-2, 0, 1
Let c(l) be the second derivative of l**5/120 + l**4/24 + l**3/18 - 18*l. Factor c(h).
h*(h + 1)*(h + 2)/6
Let c(i) be the third derivative of -i**6/180 - 7*i**5/90 + 17*i**4/36 - i**3 - 53*i**2. Determine f so that c(f) = 0.
-9, 1
Let q(g) be the first derivative of 0*g - g**3 + 1 + 3/2*g**2 + 3/16*g**4. Let q(h) = 0. Calculate h.
0, 2
Let f(p) be the first derivative of p**4/18 + 2*p**3/27 - p**2/9 - 2*p/9 + 13. Factor f(b).
2*(b - 1)*(b + 1)**2/9
Let k(y) = 3*y**2 - 13*y + 6. Let t be k(4). Determine m, given that -1/2 + 5/4*m - 5/4*m**3 + 1/2*m**t = 0.
-1, 2/5, 1
Suppose 0 = 4*v - 6 - 6. Let r(n) be the second derivative of 1/8*n**5 - 1/24*n**3 + 0 + 1/4*n**2 - v*n - 11/48*n**4. Find q, given that r(q) = 0.
-2/5, 1/2, 1
Suppose -2*r = -3*n + 71, 0*n = -3*n - r + 77. Suppose 3*t - 61 = -n. What is m in 12 - m**3 - 3*m**2 - 2*m - t = 0?
-2, -1, 0
Let l = 75/11 - -59/22. Let r be 6/(-15) + 133/20. Factor -2*t**4 - 2 - l*t**2 - r*t**3 - 1/4*t**5 - 7*t.
-(t + 1)**2*(t + 2)**3/4
Let k(b) be the third derivative of -b**6/10 + 9*b**5/20 - b**4/4 + 5*b**2. Factor k(l).
-3*l*(l - 2)*(4*l - 1)
Let p = -9 - -24. Let z be (-1)/(-8) + p/(-120). Suppose -1/6*h + 1/6*h**2 + z = 0. What is h?
0, 1
Let t = 61/5 + -158/15. Solve 4*u**2 + t*u**3 + 3*u + 2/3 = 0.
-1, -2/5
Let n(j) be the first derivative of -j**8/504 - j**7/105 - j**6/60 - j**5/90 + j**2 - 1. Let m(q) be the second derivative of n(q). Factor m(o).
-2*o**2*(o + 1)**3/3
Let d(y) be the second derivative of y**6/3 + 3*y**5/4 + 5*y**4/12 + 5*y. Determine b, given that d(b) = 0.
-1, -1/2, 0
Let w(i) be the second derivative of -i**4/6 - i**3 + 19*i. Factor w(f).
-2*f*(f + 3)
Let y be (0/(-2))/2 + 4. Factor -2 - 3*x**2 - x**2 + y*x**3 + 8*x**4 + 2*x**5 - 2*x**4 - 6*x + 0*x.
2*(x - 1)*(x + 1)**4
Factor 3/2*r**3 - 3/4*r**2 + 0 - 3/4*r**4 + 0*r.
-3*r**2*(r - 1)**2/4
Let a(g) be the second derivative of g**5/2 + 25*g**4/12 + 5*g**3/3 - 8*g. Find s such that a(s) = 0.
-2, 