*(b - 1)*(b + 2)*(3*b + 2)
Let y(v) be the second derivative of 3*v**5/20 - v**4/3 + v**3/6 - 3*v. Solve y(s) = 0 for s.
0, 1/3, 1
Suppose b - 6 = -1. Suppose w - 6 + 1 = 0, b*w - 15 = 5*d. Factor 5 - 4 - f**2 - 2*f - f**d + 2*f**3 + 1.
2*(f - 1)**2*(f + 1)
Let g(w) be the second derivative of -w**4/4 - 3*w**3/2 - 3*w**2 + 2*w. Factor g(x).
-3*(x + 1)*(x + 2)
Let s be (10/4)/(4 + 70/(-20)). Let w(v) be the second derivative of -1/30*v**s + 0 + 0*v**3 + 0*v**2 - 1/90*v**6 - 1/36*v**4 - v. Factor w(p).
-p**2*(p + 1)**2/3
Let g be ((-9)/(-12))/((-3)/(-12)). Let h be (g + (-34)/12)*2. Factor -1/3 + 1/3*i**3 + 1/3*i**2 - h*i.
(i - 1)*(i + 1)**2/3
Let u(y) be the second derivative of 1/15*y**5 + 1/9*y**4 - 4*y - 1/45*y**6 - 1/9*y**3 + 0 - 1/3*y**2 - 1/63*y**7. Solve u(t) = 0 for t.
-1, 1
Let a(t) be the first derivative of -1 - 1/50*t**5 + 0*t**2 + 1/15*t**3 + 0*t**4 + 2*t. Let g(d) be the first derivative of a(d). Factor g(p).
-2*p*(p - 1)*(p + 1)/5
Let s be 2 - -2 - (-187)/(-55). Factor 1/5*c**2 + s*c**3 + 0*c + 3/5*c**4 + 1/5*c**5 + 0.
c**2*(c + 1)**3/5
Factor -7*z - 19*z - 30*z**2 - 19*z - 5*z**3 - 20.
-5*(z + 1)**2*(z + 4)
Suppose -2*a = 4*w - 3*a - 19, -w - 5*a - 11 = 0. Let h(p) be the third derivative of 0 + 0*p - 3*p**2 - 1/120*p**5 + 0*p**w + 1/12*p**3. Factor h(z).
-(z - 1)*(z + 1)/2
Factor -80*r**3 - 767*r**2 - 2*r + 0*r + 789*r**2 + 96*r**4.
2*r*(3*r - 1)*(4*r - 1)**2
Let p(b) be the first derivative of -b**6/12 - b**5/5 + 3*b**4/8 + 4*b**3/3 + b**2 - 18. Find m, given that p(m) = 0.
-2, -1, 0, 2
Let c(x) be the second derivative of 2*x**6/15 - 4*x**5/5 + 5*x**4/3 - 4*x**3/3 + 10*x. Factor c(p).
4*p*(p - 2)*(p - 1)**2
Let z be (-1)/(-4) + 75/20. Factor -3*f**3 - f**3 + 12*f + z*f**3 - 4*f**3 + 8.
-4*(f - 2)*(f + 1)**2
Let y = -21 + 25. Factor -4*g**5 - g**3 + g**2 - 3*g**4 - y*g**4 - g**3.
-g**2*(g + 1)**2*(4*g - 1)
Let r(j) be the third derivative of j**7/1785 - j**6/510 - j**5/170 + j**4/51 + 4*j**3/51 + 5*j**2. Factor r(s).
2*(s - 2)**2*(s + 1)**2/17
Let q(g) = g**5 - g**3 + g**2 + g - 1. Let s(d) = -12*d**4 + 12*d**3 - 4*d**2 - 4*d + 4. Let t(j) = -4*q(j) - s(j). What is v in t(v) = 0?
0, 1, 2
Suppose 0 = y + 3*o + o + 7, -2*o = 5*y - 1. Let k be 40/3 - (-2)/(-6). Factor k*s**4 - s**5 + 7*s + 18*s**2 + y + 22*s**3 + 0 + 4*s**5.
(s + 1)**4*(3*s + 1)
Suppose 2/3*f**3 + 6 - 10/3*f**2 + 2*f = 0. What is f?
-1, 3
Suppose -2 = j + 1. Let f be (-2)/(2/(j + -1)). Factor f*s**2 + 12*s - 18*s**3 - 12*s + 14*s**4.
2*s**2*(s - 1)*(7*s - 2)
Let l(i) be the second derivative of i**9/22680 - i**7/1890 + i**5/180 + i**4/4 - 4*i. Let a(o) be the third derivative of l(o). Solve a(b) = 0 for b.
-1, 1
Let d(b) be the first derivative of -1/2*b**2 + 0*b**3 + 2 + 1/270*b**5 + 1/108*b**4 + 0*b. Let v(a) be the second derivative of d(a). Solve v(i) = 0 for i.
-1, 0
Let z(t) be the second derivative of 1/5*t**5 + 8*t**2 - t**4 + 0 + 0*t**3 + 6*t. Factor z(y).
4*(y - 2)**2*(y + 1)
Suppose 23*h = 26*h - 15. Factor -1/4*l**h + 2 - 7*l + 2*l**4 + 19/2*l**2 - 25/4*l**3.
-(l - 2)**3*(l - 1)**2/4
Suppose -2*v + 2 = -6. Factor 2*f**3 + f**2 - v*f**5 + 0*f**2 + f**3.
-f**2*(f - 1)*(2*f + 1)**2
Suppose -2*x - 5 = -5*w + 7, 10 = 3*w - 4*x. What is l in -2/5*l**w - 4/5 - 6/5*l = 0?
-2, -1
Let a = -22 - -25. Factor 0*z + 2/3*z**2 + 0 + 1/3*z**a.
z**2*(z + 2)/3
Let l(j) be the second derivative of j**5/10 + 5*j**4/3 + 25*j**3/3 + 2*j. Determine u so that l(u) = 0.
-5, 0
Let a(c) be the first derivative of -2*c**3/57 - c**2/19 + 4*c/19 + 19. Let a(j) = 0. Calculate j.
-2, 1
Let x(y) = -y**2 - 1 + y + 0*y**2 - y**3 + 2*y**3. Let n(c) = 12*c**3 - 16*c**2 + 14*c - 10. Let b(m) = -n(m) + 10*x(m). Factor b(u).
-2*u*(u - 2)*(u - 1)
Let c(g) be the third derivative of g**6/120 - g**5/15 + 5*g**4/24 - g**3/3 + 16*g**2. Determine y so that c(y) = 0.
1, 2
Let c = 269/2 + 111. Let m = -240 + c. Let m*q**2 + q + 7/2*q**4 + 8*q**3 + 0 = 0. Calculate q.
-1, -2/7, 0
Let s(w) = 5*w**4 - 7*w**3 - 32*w**2 - 17*w - 3. Let c(t) = 15*t**4 - 22*t**3 - 97*t**2 - 52*t - 8. Let k(v) = 3*c(v) - 8*s(v). Factor k(u).
5*u*(u - 4)*(u + 1)**2
Let t = 3969/4 - 992. Factor -1/4*x + 0 - t*x**2.
-x*(x + 1)/4
Let y(s) = s**3 - 9*s**2 + 8*s + 2. Let n be y(8). Determine t, given that 2/9*t**n + 2/9*t**5 + 0*t + 0 - 2/9*t**3 - 2/9*t**4 = 0.
-1, 0, 1
Let x(q) = q**4 + 4*q + 3. Let o be 0 + -1 + 4/2. Let h(s) = -1 - 2*s**4 + 0 - s**3 - s + s**4. Let w(b) = o*x(b) + 2*h(b). Let w(a) = 0. What is a?
-1, 1
Suppose 3*v - 6 + 0 = 0. Find c, given that -c**2 + 7*c + 3*c**2 - v - 3*c - 4*c**2 = 0.
1
Let u(v) = -v**2 - 26*v - 131. Let r be u(-7). Determine q so that 1/5*q**4 + 3/5*q**3 + 3/5*q**r + 1/5*q + 0 = 0.
-1, 0
Let c(v) be the second derivative of 3/8*v**4 - 3*v + 0*v**5 + 0 - 1/2*v**3 - 1/20*v**6 + 0*v**2. Factor c(j).
-3*j*(j - 1)**2*(j + 2)/2
Factor 18*x**3 - 3*x**2 + 3*x**4 + 7*x**4 + 4*x + 17*x**2 + 2*x**5.
2*x*(x + 1)**3*(x + 2)
Let h(j) be the first derivative of -j**5/5 + j**4/2 + j**3 - 4*j**2 + 4*j + 8. Suppose h(w) = 0. What is w?
-2, 1, 2
Let y = 237 + -9953/42. Let q(v) be the third derivative of -1/3*v**3 + 1/6*v**5 - 8/105*v**7 + 0*v + 0 - v**2 + 1/60*v**6 - 1/12*v**4 + y*v**8. Factor q(t).
2*(t - 1)**3*(2*t + 1)**2
Let h(a) = -a**2 + 6*a. Let c be h(6). Factor -2*q + c*q**2 - 3*q**4 - 3*q**4 + 2*q**3 + 2*q**2 + 4*q**4.
-2*q*(q - 1)**2*(q + 1)
Let f(m) be the third derivative of m**8/10080 - m**7/5040 + m**3/3 - m**2. Let c(b) be the first derivative of f(b). Let c(u) = 0. Calculate u.
0, 1
Let l(x) be the first derivative of x**4/34 + 4*x**3/51 - 4*x**2/17 - 16*x/17 - 12. Factor l(i).
2*(i - 2)*(i + 2)**2/17
Factor -7*j**3 + 4*j + j + 2*j**3.
-5*j*(j - 1)*(j + 1)
Let t be -1*(10/14 + -1). Let b be 10/(-35) + (-4)/(-7). Suppose b - 2/7*l**2 + 2/7*l - t*l**3 = 0. What is l?
-1, 1
Let k be (-8 + -1)/(-3) - 1. Factor -l**3 - k*l + 3*l**2 + 0*l - 6*l**2.
-l*(l + 1)*(l + 2)
Let g(k) = -k**2 - 7*k + 4. Let o be g(-7). Let w = 3 + -2. Find j such that -3*j**3 + 3*j**4 - o*j**2 + 0*j**4 + 2*j + j**3 + w = 0.
-1, -1/3, 1
Let y(d) be the third derivative of d**6/780 + d**5/390 - 2*d**4/39 - 4*d**3/13 - 24*d**2. Let y(n) = 0. Calculate n.
-2, 3
Let p be -4*((-15)/12 - -1). Let w be (p - 6)*2/(-25). Factor w + 0*z - 2/5*z**2.
-2*(z - 1)*(z + 1)/5
Let m = 20 + -10. Suppose -2 + 5*d**3 + d**3 - m*d**2 + 2*d + 4 = 0. Calculate d.
-1/3, 1
Let y(s) = -4*s**3 + 6*s**2 - 6*s - 2. Let a(h) = 9*h**3 - 12*h**2 + 13*h + 5. Let z(k) = -4*a(k) - 10*y(k). Factor z(u).
4*u*(u - 2)*(u - 1)
Let m = -2 + 3. Let x**2 - x + m + 3*x - 3*x**2 + 3 = 0. What is x?
-1, 2
Let k(t) = t**2 - 5*t - 9. Let z be k(8). Suppose h - 17 = 3*s, 5*h - s = -0*h + z. Let 0 - 2/9*g - 2/9*g**h = 0. Calculate g.
-1, 0
Suppose 0*y - y = 4*s + 15, -2*y = 2*s. Factor -6/5*b**3 + 2/5*b**4 - 2*b**2 + 0 - 4/5*b + 2/5*b**y.
2*b*(b - 2)*(b + 1)**3/5
Suppose 4*y - 41 = 5*b, 4*y + 3*b = -0 + 1. Suppose -y*h - 5 = -21. Let 4*m**3 + 2*m**h + m**3 + 2*m**2 - m**3 = 0. Calculate m.
-1, 0
Let q be (-16)/(-5) + 112/140. Let g(k) be the third derivative of 1/24*k**3 + 1/48*k**4 + q*k**2 + 0*k + 1/240*k**5 + 0. Factor g(j).
(j + 1)**2/4
Let o(w) = -w**2 + 4*w - 1. Let v be o(3). Let x be (-2)/(0 + -1 + 0). Determine j, given that -j**x - v - 4*j - 1 - 1 = 0.
-2
Let f(v) = -v**3 - 7*v**2 + 7*v - 6. Let k be f(-8). Factor -8/3*j**k - 10/3*j - 2/3*j**3 - 4/3.
-2*(j + 1)**2*(j + 2)/3
Suppose -4*r + 5*r - 18 = 0. Suppose 3*a - r = 2*f + f, a + f = -2. Factor 0*p + 2/3*p**a + 0 + 2/3*p**3.
2*p**2*(p + 1)/3
Let p be (4/(-6))/(-2 - (-4)/6). Factor 1/2*u**3 - p*u**2 + 1/2 - 1/2*u.
(u - 1)**2*(u + 1)/2
Let g = -86771/4743 - 105/4216. Let x = -143/8 - g. What is c in -x*c + 2/9*c**2 + 2/9 = 0?
1
Let a = -28 - -57/2. Solve 1/4*y**2 - 3/4*y - a + 3/4*y**3 + 1/4*y**4 = 0 for y.
-2, -1, 1
Factor 1/2*j**4 - 1/2*j**2 + 0 + j**3 - j.
j*(j - 1)*(j + 1)*(j + 2)/2
Let j(a) = -14*a**3 + 4*a**2 + 19*a - 9. Let q(f) = -7*f**3 + 2*f**2 + 10*f - 5. Let x = -2 - 3. Let c(s) = x*q(s) + 3*j(s). Factor c(p).
-(p - 1)*(p + 1)*(7*p - 2)
Let i(p) = 2*p**2 - 4*p + 1. Let d be i(4). Let l = d + -12. Factor 0*x + x - 2*x**2 - l*x.
-2*x*(x + 2)
Determine l so that 0 + 5/4*l - 1/4*l**2 = 0.
0, 5
Factor 0*a - 1/3*a**4 + 0 - 7/3*a**2 + 8/3*a**3.
-a**2*(a - 7)*(a - 1)/3
Let j = -57 + 57. Solve j + 0*h 