+ 2*j**3 + 8*j**2.
4*j**2*(j + 2)
Let j be (14/(-32))/((-1)/4). Suppose 10 = -3*f + 2*d + 14, 0 = 3*f + 2*d - 8. Factor -1/2*h - j*h**3 + 0 - 9/4*h**f.
-h*(h + 1)*(7*h + 2)/4
Determine c, given that 3*c**4 + 5*c**4 - 24*c**3 + 7*c**4 - 27*c**2 + 12 + 24*c = 0.
-1, -2/5, 1, 2
Suppose -214*a + 205*a + 18 = 0. Determine y, given that 2/3*y**3 + 2*y + a*y**2 + 2/3 = 0.
-1
Factor -9/8*f**2 + 0 + 3/8*f + 9/8*f**3 - 3/8*f**4.
-3*f*(f - 1)**3/8
Let z(w) be the first derivative of -w**4/26 + 3*w**2/13 - 4*w/13 - 32. Solve z(h) = 0 for h.
-2, 1
Factor -4*b + 4 - 4*b + 2*b**2 + 2*b.
2*(b - 2)*(b - 1)
Let w = 10 + -15. Let c(o) = -o - 5. Let h be c(w). Determine u so that -2/9*u**2 + 0 + h*u - 2/9*u**3 = 0.
-1, 0
Suppose 10/3*o**2 + 5/3*o**3 + 5/3*o + 0 = 0. Calculate o.
-1, 0
Suppose -5*b - s + 53 = 0, 2*b = -6*s + 3*s + 29. Let g(l) = -l**2 + 9*l + 10. Let m be g(b). Suppose -1/3*a**2 + 2/3*a**3 + m - 1/3*a**4 + 0*a = 0. What is a?
0, 1
Suppose -3*t - 3*i - 14 = -5, 0 = -5*t + 5*i + 15. Factor 4*j**4 - 4*j**2 + t + 0*j**2 + 5*j - 8*j**3 + j**2 + 2.
(j - 2)*(j - 1)*(2*j + 1)**2
Let o = 223/78450 + 2/523. Let g(b) be the third derivative of 0*b**4 - 2*b**2 + 1/280*b**8 + 0*b - 1/75*b**7 + 0*b**3 - o*b**5 + 0 + 1/60*b**6. Factor g(x).
2*x**2*(x - 1)**2*(3*x - 1)/5
Let b be (-2)/(-6) - 35/(-21). Factor 0 + 11/4*r**b + 4*r**3 + 7/4*r**4 + 1/2*r.
r*(r + 1)**2*(7*r + 2)/4
Let s(t) be the first derivative of 7*t**4/48 + 3*t**3/8 + t**2/4 + 3*t + 3. Let u(a) be the first derivative of s(a). Solve u(r) = 0.
-1, -2/7
Let j = 3 + -6. Let q be ((-22)/(-3))/2 + j. Factor -8/3*f - q*f**2 - 8/3.
-2*(f + 2)**2/3
Let j(u) be the third derivative of u**6/60 + u**5/15 + u**4/12 - 13*u**2. Solve j(a) = 0 for a.
-1, 0
Let 13 - 3*g - 12 + 17 - 3*g**2 = 0. Calculate g.
-3, 2
Let v(j) be the second derivative of -1/6*j**3 + 3*j + 0*j**5 + 1/540*j**6 - 1/36*j**4 + 0*j**2 + 0. Let l(a) be the second derivative of v(a). Factor l(f).
2*(f - 1)*(f + 1)/3
Let j(h) = h**3 - h. Let v be j(-2). Let b be 2/3*(v - -9). Suppose -2*o**3 + 0*o**2 + 8*o**3 + 2*o**2 + 4*o**b + 2*o + 2*o**4 = 0. Calculate o.
-1, 0
Let q(t) be the second derivative of -7*t - 1/24*t**4 + 0 + 1/2*t**3 - 9/4*t**2. Factor q(p).
-(p - 3)**2/2
Factor 2*a**3 + 4*a**5 + 3*a**3 + 4*a**2 - 9*a**3 - 4*a**4.
4*a**2*(a - 1)**2*(a + 1)
Let j = 323/4 - 80. Let w(p) be the first derivative of -2 - 3/4*p**2 - 1/4*p**3 - j*p. Find y, given that w(y) = 0.
-1
Let b(x) = 4*x - 2. Let i be b(1). Suppose i*n**2 + 1/3 + 5/3*n - n**5 - 7/3*n**4 - 2/3*n**3 = 0. What is n?
-1, -1/3, 1
Suppose 0 = -j + 5*j - 16. Let o be 7 - (j + 1 + -1). Factor -o*p + 3/2 - 9/2*p**2.
-3*(p + 1)*(3*p - 1)/2
Let g(w) be the third derivative of w**5/40 + 5*w**4/48 + w**3/6 - 11*w**2. Factor g(z).
(z + 1)*(3*z + 2)/2
Let i(b) = -9*b**5 - 48*b**4 - 72*b**3 + 18*b**2 + 87*b + 27. Let j(f) = f**3 - f - 1. Let r(x) = -i(x) - 3*j(x). Factor r(p).
3*(p - 1)*(p + 2)**3*(3*p + 1)
Suppose -12 = -2*j - 8. Let c be j*2/(-30)*-3. Factor 0 + 0*l + c*l**2.
2*l**2/5
Let r(g) = g**4 - g**3 + g**2 + g + 2. Suppose 0*u = 2*u + 44. Let v(o) = -6*o**4 + 6*o**3 - 5*o**2 - 6*o - 11. Let a(i) = u*r(i) - 4*v(i). Factor a(q).
2*q*(q - 1)**2*(q + 1)
Let h = 21 - 18. Let b(x) be the third derivative of -1/840*x**8 - h*x**2 + 0*x**4 + 0 + 0*x**5 + 0*x + 0*x**3 + 0*x**6 - 1/525*x**7. Solve b(y) = 0 for y.
-1, 0
Suppose -t + 12 = 4*r, 4*r = 2*t - t + 12. Suppose r = 2*j - 3. Factor 2 + 3 + 3*o - 3*o**j - 3*o**2 - 2.
-3*(o - 1)*(o + 1)**2
Suppose 3*w = -w + 28. Let j = w + -3. Suppose -y + 2/3*y**2 + 1/3 - y**j + 2/3*y**3 + 1/3*y**5 = 0. What is y?
-1, 1
Let o = -129 + 132. Suppose -38/3*u**2 + 12*u**4 + 8/3 - 2*u**o + 0*u = 0. Calculate u.
-2/3, 1/2, 1
Let p(v) be the first derivative of -7 - 2/51*v**3 - 18/17*v - 6/17*v**2. Factor p(n).
-2*(n + 3)**2/17
Let o(t) be the third derivative of t**5/420 - 2*t**3/21 + 5*t**2 + 6. Solve o(u) = 0 for u.
-2, 2
Suppose 7*z - z**3 - 19*z + 13*z = 0. What is z?
-1, 0, 1
Let d be ((-4)/(-6))/((-6)/(-9)). Find x, given that -x - 3 + 4 - d + x**2 = 0.
0, 1
Suppose 0 + 16/3*y**2 + 8/3*y - 14/3*y**3 - 10/3*y**4 = 0. What is y?
-2, -2/5, 0, 1
Let p = -8 + 13. Determine i, given that p*i**3 + 0*i + 8*i**2 + 4*i + i**3 + i**4 - i**3 = 0.
-2, -1, 0
Let k(i) be the second derivative of i**7/735 - i**5/70 - i**4/42 + i**2 + 2*i. Let p(s) be the first derivative of k(s). Find l such that p(l) = 0.
-1, 0, 2
Let v(n) = -5*n**3 + 8*n**2 + 6. Let i(d) be the first derivative of -d**4 + 7*d**3/3 + 5*d - 4. Let b(q) = 6*i(q) - 5*v(q). Determine m, given that b(m) = 0.
-2, 0
Let a(x) = x**4 - 4*x**3 - x**2 + 4*x - 4. Let u(y) = -3*y**4 + 11*y**3 + 3*y**2 - 11*y + 11. Let q(z) = -11*a(z) - 4*u(z). Factor q(d).
d**2*(d - 1)*(d + 1)
Let k be (0 + -2)/(9/(-70)). Let i = -1522/99 + k. Find j, given that -2/11 - 8/11*j**3 - i*j**4 - 8/11*j - 12/11*j**2 = 0.
-1
Let y(g) = -g**5 + 6*g**4 + 9*g**3 - g**2 + 3. Let c(z) = z**5 - 12*z**4 - 17*z**3 + z**2 - 5. Let p(q) = 6*c(q) + 10*y(q). Factor p(t).
-4*t**2*(t + 1)**3
Let j = -19 + 30. Let -1 + 7*x**3 + j*x + 16*x**2 + 1 + 0 + 2 = 0. Calculate x.
-1, -2/7
Let a(f) be the third derivative of -f**7/490 + 3*f**6/70 - 27*f**5/70 + 27*f**4/14 - 81*f**3/14 + 11*f**2. Factor a(h).
-3*(h - 3)**4/7
Let a(c) = c**3 + c. Suppose -4*u - 1 = -3*u. Let b(z) = -6*z**3 - 5*z. Let g(l) = u*b(l) - 5*a(l). Factor g(v).
v**3
Let z(r) = 6 - 5*r + 4*r - 4*r + 4*r. Let n be z(6). Let n*d + 0 + 1/2*d**2 + 1/2*d**3 = 0. What is d?
-1, 0
Let b(f) be the first derivative of -f**4/8 - f**3/6 + f**2/4 + f/2 - 10. Determine s, given that b(s) = 0.
-1, 1
Let g(m) be the second derivative of -m**8/10080 + m**7/1260 - m**6/540 + m**4/6 + 7*m. Let h(r) be the third derivative of g(r). Find o, given that h(o) = 0.
0, 1, 2
Suppose w = -3*j - 0*w + 36, 3*w - 17 = -2*j. Let v(c) = -8*c**3 + 5*c**2 - 13*c. Let x(i) = 4*i**3 - 2*i**2 + 6*i. Let z(t) = j*x(t) + 6*v(t). Factor z(h).
4*h**2*(h + 1)
Let f(z) be the third derivative of -z**8/560 + 3*z**7/350 - z**6/100 + 23*z**2. Factor f(s).
-3*s**3*(s - 2)*(s - 1)/5
Find k such that 6*k + 3/2*k**2 + 6 = 0.
-2
Solve 14 + 13 - 6*b**2 + 18*b - 14*b**2 + 23*b**2 = 0 for b.
-3
Let q(w) be the first derivative of -w**8/336 + w**7/70 - w**6/40 + w**5/60 + 3*w**2 + 2. Let u(h) be the second derivative of q(h). Factor u(x).
-x**2*(x - 1)**3
Factor 5/6*d + 7/6*d**3 + 0 - 1/6*d**4 - 11/6*d**2.
-d*(d - 5)*(d - 1)**2/6
Suppose -7*s + 6*s - 4*b - 11 = 0, 2 = -2*s - 3*b. Factor -1/3*w**2 + 0*w + w**4 - 2/3*w**s + 0*w**3 + 0.
-w**2*(w - 1)**2*(2*w + 1)/3
Suppose -b + 6*b = 15. Let n be 4/20 + 9/30. Determine p so that 1/2*p - n*p**4 - 1/2*p**b + 1/2*p**2 + 0 = 0.
-1, 0, 1
Let w be 138/315 - 3/7. Let l(d) be the third derivative of 0*d - 1/15*d**5 + 1/30*d**6 + 0 - 1/168*d**8 - 1/12*d**4 + 1/3*d**3 + w*d**7 + d**2. Factor l(x).
-2*(x - 1)**3*(x + 1)**2
Let k(v) be the first derivative of -v**3/6 - 3*v**2/4 + 2*v + 9. Factor k(m).
-(m - 1)*(m + 4)/2
Let h(q) be the third derivative of -q**8/4200 + q**7/1050 - q**6/900 + q**3 - 5*q**2. Let v(z) be the first derivative of h(z). Factor v(w).
-2*w**2*(w - 1)**2/5
Suppose 9 = 3*j + 87. Let i = j - -28. Suppose 4/7*d**3 + 8/7 - 2*d**i + 8/7*d = 0. Calculate d.
-1/2, 2
Let b(t) = -5*t**4 + 20*t**3 - 96*t**2 + 252*t - 252. Let d(c) = -c**4 + c**3 - c + 1. Let g(f) = -3*b(f) + 12*d(f). Solve g(x) = 0.
4
Let g be ((-6)/66)/(6/100). Let f = g + 24/11. Factor 2/3*t**4 + f*t**3 - 2/3*t**2 + 0 - 2/3*t**5 + 0*t.
-2*t**2*(t - 1)**2*(t + 1)/3
Suppose 70*q**4 + 8 + 252*q**3 + 0*q**4 + 14*q**4 + 72*q + 218*q**2 + 14*q**4 = 0. What is q?
-1, -2/7
Suppose 3/4*i**2 + 3/2*i + 0 = 0. Calculate i.
-2, 0
Let y(u) = 2*u**3 + 37*u**2 + 16*u - 33. Let a be y(-18). Factor -3/2*f**a + 0*f + 1/2*f**4 + f**2 + 0.
f**2*(f - 2)*(f - 1)/2
Let r(h) be the first derivative of -h**6/3 + h**4 - h**2 + 5. Solve r(a) = 0.
-1, 0, 1
Let k(a) = 5*a**4 + 4*a**3 + a**2 + 2*a + 4. Let n(m) = -9*m**4 - 7*m**3 - m**2 - 3*m - 7. Let l(h) = 7*k(h) + 4*n(h). Find r such that l(r) = 0.
-1, 0, 2
Factor -10*t**3 + 12*t**4 + 16*t + 2*t**4 + 26*t - 50*t - 32*t**2.
2*t*(t - 2)*(t + 1)*(7*t + 2)
Let f(o) = o**3 - 13*o - 7 + 5*o + 5*o**3 - 9*o**2. Let m(g) = -5*g**3 + 8*g**2 + 7*g + 6. Let z(h) = 6*f(h) + 7*m(h). Solve z(q) = 0.
-1, 0
Let h(b) 