*(z + 2)**2/13
Find j such that 28*j - 9*j**3 + 15*j**4 - 11*j - 6*j**2 - 17*j = 0.
-2/5, 0, 1
Let x(y) be the first derivative of 3*y**4/4 + 2*y**3 + 3*y**2/2 - 1. Determine u so that x(u) = 0.
-1, 0
Suppose 10 = -3*k - 14. Let t be (-9)/(-4) - (-2)/k. Suppose -v**4 - 3*v**2 + 0*v**t + v**3 - v + 4*v**2 = 0. What is v?
-1, 0, 1
Let p(a) be the first derivative of a**4/12 + a**3/9 - 10. Factor p(l).
l**2*(l + 1)/3
Let n(s) be the third derivative of s**7/5040 - s**4/8 + 3*s**2. Let y(g) be the second derivative of n(g). Let y(x) = 0. Calculate x.
0
Suppose -5*y - 5 = 0, -3*g + y + 13 = -0. Determine k, given that 1/5 + 17/5*k**3 + 7/5*k + 17/5*k**2 + 6/5*k**g = 0.
-1, -1/2, -1/3
Let o(q) be the second derivative of -1/5*q**5 - 1/12*q**3 + 2*q + 0 - 1/4*q**4 + 3/28*q**7 + 1/10*q**6 + 0*q**2. Suppose o(h) = 0. What is h?
-1, -1/3, 0, 1
Let a(j) be the second derivative of -j**6/150 - j**5/25 - j**4/15 - j. Factor a(m).
-m**2*(m + 2)**2/5
Let c(s) be the second derivative of s**10/18900 - s**9/4200 + s**8/2800 - s**7/6300 - s**4/3 - s. Let p(q) be the third derivative of c(q). Factor p(b).
2*b**2*(b - 1)**2*(4*b - 1)/5
Solve 0 + 3/2*s + 3/2*s**2 = 0.
-1, 0
Let k(v) be the first derivative of 1/22*v**4 + 2/11*v**3 + 6 + 2/11*v**2 + 0*v. Factor k(w).
2*w*(w + 1)*(w + 2)/11
Let k(a) be the third derivative of -a**7/70 - a**6/20 + a**5/20 + a**4/4 - 44*a**2. Find f, given that k(f) = 0.
-2, -1, 0, 1
Suppose -3*n + 15 = 3*t, 2*t - 2*n - 2 = -2*t. Let a be (-1 - -1) + (0 - 0). Suppose 10/7*q**t + a - 2*q**3 + 6/7*q**4 - 2/7*q = 0. What is q?
0, 1/3, 1
Suppose -4*s + l = -6*s, 0 = s - l. Factor s*w**2 - 1/5*w**3 + 2/5*w**4 - 1/5*w**5 + 0 + 0*w.
-w**3*(w - 1)**2/5
Let u(g) be the third derivative of -1/60*g**5 + 0 + 0*g + 1/6*g**3 + 0*g**4 + 5*g**2. Factor u(y).
-(y - 1)*(y + 1)
Let z(a) be the third derivative of -a**6/840 - a**5/420 + a**4/168 + a**3/42 - 13*a**2. Factor z(y).
-(y - 1)*(y + 1)**2/7
Let s(u) = 9*u**4 + 8*u**3 - 9*u**2 - 3*u - 5. Let x(c) = 5 + 16*c - 14*c**4 + 14*c**2 + 3 - 12*c**3 - 12*c. Let n(h) = -8*s(h) - 5*x(h). Factor n(t).
-2*t*(t - 1)*(t + 1)*(t + 2)
Suppose -6 = -2*a - 2*k, 6*a - 2*a + 4 = 4*k. Let r(y) be the first derivative of 0*y**3 - 1/6*y**2 - a + 1/12*y**4 + 0*y. Factor r(w).
w*(w - 1)*(w + 1)/3
Suppose -22*n = -23*n. Let f(u) be the third derivative of -1/60*u**5 + 2*u**2 + 1/12*u**4 + 0 + n*u - 1/6*u**3. Determine j, given that f(j) = 0.
1
Let p = 43 + -34. Suppose -7*f = -p*f + 4. Determine b so that 0 - 5/4*b**3 - 1/2*b + 7/4*b**f = 0.
0, 2/5, 1
Let s(t) = -t**2 - 7*t - 10. Let h be s(-4). Let j(l) = -l + 6. Let w be j(6). Determine i so that w*i**h - 4/5*i + 2/5 - 2/5*i**4 + 4/5*i**3 = 0.
-1, 1
Let s(n) be the first derivative of n**3/21 - 5*n**2/14 - 2*n - 40. Suppose s(o) = 0. Calculate o.
-2, 7
Let b(n) = 2*n**2 + 23*n + 54. Let d be b(-3). Factor -2*m**d + 6/5*m**4 + 4/5*m**2 + 0*m + 0.
2*m**2*(m - 1)*(3*m - 2)/5
Suppose w + 2*q - 6 + 0 = 0, 4*q = -5*w + 12. Let s = 3 - w. Factor b - 2*b**5 + 0*b**3 - 2*b**3 + s*b**5.
b*(b - 1)**2*(b + 1)**2
Let m(d) be the second derivative of 3*d**5/10 + d**4/4 - d**3/2 - 5*d. Factor m(u).
3*u*(u + 1)*(2*u - 1)
Let p = 7 - 4. Factor -6*d + 3*d**3 - d**p + 4*d.
2*d*(d - 1)*(d + 1)
Let v(s) be the third derivative of s**6/120 - s**5/15 + s**4/6 - 37*s**2. Factor v(r).
r*(r - 2)**2
Solve 34/7*h**3 + 0 + 34/7*h**2 + 2*h**4 + 12/7*h + 2/7*h**5 = 0.
-3, -2, -1, 0
Let q be (-1)/2 - 4/(-56)*11. Factor 0 + 0*h**2 + 2/7*h**5 + 0*h**4 - 4/7*h**3 + q*h.
2*h*(h - 1)**2*(h + 1)**2/7
Let p(o) = -22*o**3 + 50*o**2 - 26*o - 2. Let t(j) = -21*j**3 + 49*j**2 - 25*j - 3. Let x(n) = 5*p(n) - 6*t(n). Factor x(w).
4*(w - 2)*(w - 1)*(4*w + 1)
Determine o, given that 0*o**5 - 4*o**4 - 4*o**5 - 4*o**3 + 12*o**4 = 0.
0, 1
Find h such that 0*h**3 + 0 + 0*h - 1/2*h**4 + 1/2*h**2 = 0.
-1, 0, 1
Let z(v) be the second derivative of -2*v**6/105 - v**5/70 + v**4/42 + 11*v. Factor z(b).
-2*b**2*(b + 1)*(2*b - 1)/7
Suppose 2*j = j + 4. Solve 9 + 4*s**3 - 9 - 3*s**3 + s**j = 0 for s.
-1, 0
Determine p, given that -2/5*p**2 - 14/5*p + 16/5 = 0.
-8, 1
Let i(q) be the second derivative of -33/2*q**4 + 49/10*q**6 + 231/20*q**5 - 12*q**2 + 0 - 3*q - 26*q**3. Let i(p) = 0. Calculate p.
-2, -2/7, 1
Let t(p) be the third derivative of p**5/180 - p**4/24 - p**2. Factor t(a).
a*(a - 3)/3
Let f(n) = 3*n**3 - n**2 - 4*n + 4. Let t be f(-4). Let y = 1318/7 + t. Solve 0*q**2 + 4/7*q - 4/7*q**3 - y*q**4 + 2/7 = 0 for q.
-1, 1
Let b(t) = t**2 + t. Let q(a) = 8*a**2 + 20*a + 12. Let r(m) = -35*b(m) + 5*q(m). What is k in r(k) = 0?
-12, -1
Let p(u) = -u**3 + 12*u**2 - 10*u + 1. Let i be p(11). Let n = 15 - i. Factor 0 + 3/4*g**n + 3/2*g**4 + 0*g + 0*g**2.
3*g**3*(2*g + 1)/4
Let d be 112/128 + (-1)/8. Let 3/4*k**2 + d*k + 0 = 0. What is k?
-1, 0
Let h = 4963/1860 + -1/620. Let -h*i + 28/3*i**3 - 20/3*i**5 + 4*i**4 + 0 - 4*i**2 = 0. What is i?
-1, -2/5, 0, 1
Let v(j) be the second derivative of 4*j**7/21 + 3*j**6/5 - 23*j**5/5 + 22*j**4/3 - 2*j**3 - 5*j**2 + 13*j. Suppose v(k) = 0. Calculate k.
-5, -1/4, 1
Let u(g) = -3*g**2 + 3*g. Let v = -1 + 2. Let i(a) = -a**3 + a**2. Let m(y) = v*u(y) - 3*i(y). Suppose m(c) = 0. What is c?
0, 1
Let x be (-34)/(-595) + (-1)/(-7). Let c(l) be the first derivative of 5/12*l**6 + 1 - 5/4*l**4 + l + x*l**5 - 2/3*l**3 + 5/4*l**2. What is n in c(n) = 0?
-1, -2/5, 1
Let v be ((-30)/(-35))/((-4)/(-14)). Determine i, given that 3*i**v + 0*i**4 + 2*i**4 - 5*i**4 = 0.
0, 1
Factor -2*h**2 - 4*h**4 - 2*h**2 - 38*h**3 + 30*h**3.
-4*h**2*(h + 1)**2
Suppose 0 - 1/2*h**4 - 1/4*h + 1/4*h**5 + 1/2*h**2 + 0*h**3 = 0. Calculate h.
-1, 0, 1
Let m(f) be the second derivative of 2*f + 25/36*f**4 + 1/126*f**7 + 2/3*f**2 + 19/60*f**5 + 0 + 8/9*f**3 + 7/90*f**6. Factor m(n).
(n + 1)**3*(n + 2)**2/3
Suppose 4*b - 16 = 5*q + 2*b, 0 = 2*q + 5*b + 18. Let c = 6 + q. Suppose -1/4*z**c + 0 + 1/4*z = 0. What is z?
0, 1
Let a(t) be the second derivative of -5*t**7/42 - t**6/3 + 5*t**4/6 + 5*t**3/6 - 14*t. Factor a(m).
-5*m*(m - 1)*(m + 1)**3
Suppose 0 = -4*b + 1 + 3. Let t be -3*(-1 - (-1 + b)). Factor 2*z**3 + 0*z**t - 3*z**2 + 5*z**2.
2*z**2*(z + 1)
Let v be -4*-2*(-4)/(-16). Factor 2*c**2 + 8*c - 6*c**3 + 0*c**2 - v*c + c**2 - 3*c**4.
-3*c*(c - 1)*(c + 1)*(c + 2)
Let p(v) = v + 3. Let q be p(-5). Let o be (-3)/q*(-12)/(-9). Find h such that 0*h**o + 2*h**3 - h**2 + 3*h**2 = 0.
-1, 0
Let s = 19/144 - 1/48. Let k(b) be the first derivative of 0*b - 1/9*b**2 + 0*b**3 + 0*b**5 - 1/27*b**6 + s*b**4 + 2. Factor k(i).
-2*i*(i - 1)**2*(i + 1)**2/9
Suppose 0 = -h + 2 + 2. Let j(r) = -2*r**4 + 6*r**2 - 4. Let s(n) = -2*n**4 - n**3 + 5*n**2 + n - 3. Let x(o) = h*s(o) - 3*j(o). Factor x(p).
-2*p*(p - 1)*(p + 1)*(p + 2)
Let x(f) be the third derivative of 1/6*f**4 + 0*f + 0*f**3 + 0 - 1/105*f**7 - 1/6*f**5 + 1/15*f**6 - 8*f**2. Factor x(y).
-2*y*(y - 2)*(y - 1)**2
Let n(u) be the first derivative of u**6/6 - u**5/5 - 2*u**4 + 8*u**3/3 + 8*u**2 - 16*u + 8. Factor n(z).
(z - 2)**2*(z - 1)*(z + 2)**2
Let y(a) = 3*a**2 - 6*a + 5. Let b(c) = -12*c**2 + 24*c - 21. Let o = -8 - -29. Let r(v) = o*y(v) + 5*b(v). Factor r(k).
3*k*(k - 2)
Suppose 0 = 2*z - z - 2. Determine v, given that -v**3 + z*v + 2*v - 6*v + 5*v**3 - 2*v**5 = 0.
-1, 0, 1
Let w = -8/33 + 10/11. Let j be ((-4)/(-7))/((-6)/(-14)). Factor 4/3*u**3 - j*u + w*u**4 + 0*u**2 - 2/3.
2*(u - 1)*(u + 1)**3/3
Let m(c) be the third derivative of -c**6/120 - 2*c**3/3 + c**2. Let u(l) be the first derivative of m(l). Let u(b) = 0. What is b?
0
Let q = -320 - -325. Find h, given that 4/3*h**3 + 6*h**4 - 6*h**2 + 4/3*h - 8/3*h**q + 0 = 0.
-1, 0, 1/4, 1, 2
Let n = -4 + 10. Find z, given that 1 + 2*z**2 - n*z + z**2 + 2 + 0*z = 0.
1
What is z in -52/3*z**2 - 16*z - 16/3 - 4/3*z**4 - 8*z**3 = 0?
-2, -1
Suppose 0*y - 34 = -3*t + 2*y, 24 = 2*t - 2*y. Let x be ((-8)/10)/(t/(-25)). Determine j so that -2/3*j**3 - 2/3 - x*j - 2*j**2 = 0.
-1
Let o be (24/18)/((91/(-6))/(-13)). Find t, given that o + 4/7*t**3 + 2/7*t**4 - 8/7*t - 6/7*t**2 = 0.
-2, 1
Let d = -11 + -5. Let f be d/(-6) - (0 - -2). Factor 0*u**4 - 1/3*u - 1/3*u**5 + 0*u**2 + 0 + f*u**3.
-u*(u - 1)**2*(u + 1)**2/3
Let m be ((-22)/4 + -2)*(-16)/70. What is u in -m*u**2 - 16/7 + 24/7*u + 2/7*u**3 = 0?
2
Let d(u) = 4*u**4 - 6*u**3 + 8*u**2 + 