/150*q**5. Find a, given that w(a) = 0.
-1, -2/5, 0, 1
Let g(v) = -v**3 + v**2 + v - 1. Let j(f) = -21*f**3 + 15*f**2 + 24*f - 18. Let q(k) = -18*g(k) + j(k). Solve q(p) = 0.
-2, 0, 1
Let f(o) be the third derivative of 1/70*o**5 + 0*o + 0 + o**2 - 2/21*o**3 - 1/735*o**7 - 1/84*o**4 + 1/420*o**6. Let f(p) = 0. Calculate p.
-1, 1, 2
Solve 3/4 + 3/4*p**4 - 3/2*p**2 + 3/4*p**5 + 3/4*p - 3/2*p**3 = 0.
-1, 1
Factor 8/3 + 4/3*q**2 - 14/3*q + 2/3*q**3.
2*(q - 1)**2*(q + 4)/3
Solve 4/9*c**2 + 0 - 2/9*c**3 - 2/9*c = 0 for c.
0, 1
Suppose b = 2 + 1. Let 5 - 12*q**2 + 2*q**5 - b*q**5 + 9*q - 18*q**3 + 1 + 6*q**4 + 10*q**5 = 0. What is q?
-1, -2/3, 1
Let y(u) be the second derivative of -u**4/6 + 5*u**3/3 + 6*u**2 - 28*u. Solve y(t) = 0 for t.
-1, 6
Factor 0*c - 1/9*c**2 + 0.
-c**2/9
Let g(a) = a**3 + 7*a**2 + 11*a - 3. Let u be g(-5). Let i be u/(-1) - 4 - 1. Let -2/5 - 4*s**4 + 14/5*s**i + 22/5*s**2 - 16/5*s**5 + 2/5*s = 0. Calculate s.
-1, -1/2, 1/4, 1
Factor -128*y - 12 - 48*y**2 - 2*y**3 + 8*y**2 - 116 - 2*y**3.
-4*(y + 2)*(y + 4)**2
Let q(n) = n + 6. Let z be q(-7). Let v be (z - -3)/(0 + 1). Factor 0*k + 0 - 1/2*k**v.
-k**2/2
Suppose 5*p = 2*d - 30, -d + p = 5*p - 2. Let m(q) = 10*q**2 - q**2 + d*q + 8*q + 4. Let y(n) = -27*n**2 - 53*n - 12. Let g(i) = -17*m(i) - 6*y(i). Factor g(c).
(3*c + 2)**2
Let w be (17/408)/((-5)/(-2) + -2). Let a(s) be the first derivative of 0*s**2 + 0*s - 2 - w*s**3 - 1/2*s**6 + 0*s**4 + 13/20*s**5. Solve a(r) = 0.
-1/4, 0, 1/3, 1
Let s = 324 + -322. Find d such that 0*d + 1/3*d**s + 0 = 0.
0
Suppose 6 - 10*h + 8*h - h**2 - 3 = 0. What is h?
-3, 1
Let l = 4401/365 + 25/73. Let k = -12 + l. Find f such that -4/5*f**4 - 14/5*f**3 - 2*f - 18/5*f**2 - k = 0.
-1, -1/2
Let p(o) be the first derivative of 8/7*o**3 - 6/7*o**2 - 3 + 2/7*o - 4/7*o**4. Find z such that p(z) = 0.
1/2
Let l(f) be the third derivative of 2*f**2 + 0*f**3 - 1/168*f**8 + 0*f**4 + 0*f + 0 + 1/30*f**5 + 1/60*f**6 - 1/105*f**7. Factor l(a).
-2*a**2*(a - 1)*(a + 1)**2
Let y(n) = -6*n**2 + 12*n - 12. Let h(i) = i**2 - i + 1. Let k = 6 + -5. Let q(g) = k*y(g) + 4*h(g). What is b in q(b) = 0?
2
Let g(j) = j - 2. Let s be g(5). Factor -3*t**2 + 9*t + 3*t**5 - 6*t**2 + 3*t**2 - 4*t**3 + 6 - 8*t**s.
3*(t - 2)*(t - 1)*(t + 1)**3
Let m(y) be the second derivative of -2*y - 1/40*y**5 + 0 + 0*y**2 - 1/6*y**3 + 1/8*y**4. Factor m(x).
-x*(x - 2)*(x - 1)/2
Let s(z) be the first derivative of z**8/1008 - z**6/360 - z**2/2 + 7. Let r(c) be the second derivative of s(c). Factor r(x).
x**3*(x - 1)*(x + 1)/3
Let m(k) be the second derivative of 0*k**2 - 1/105*k**6 + 0 - 1/14*k**4 - 1/21*k**3 - 3/70*k**5 + k. Factor m(j).
-2*j*(j + 1)**3/7
Suppose 5*t + 20 = 9*t. Solve 49*v**4 + 2*v**t - 17*v**4 + 10*v**5 + 8*v**2 + 28*v**3 = 0 for v.
-1, -2/3, 0
Factor 0 + 2/7*y**2 - 4/7*y.
2*y*(y - 2)/7
Let p(s) = -7*s**4 + 3*s**3 + 2*s**2 - 8*s. Let l(m) = m**4 + m. Let n(z) = -24*l(z) - 3*p(z). Suppose n(u) = 0. What is u?
-2, -1, 0
Let k(q) be the first derivative of -q**6/6 + q**5/5 + 3*q**4/4 - q**3/3 - q**2 - 2. Factor k(g).
-g*(g - 2)*(g - 1)*(g + 1)**2
Let l(q) be the first derivative of -2/21*q**3 + 1/14*q**4 - 1/7*q**2 + 2/7*q - 1. Factor l(z).
2*(z - 1)**2*(z + 1)/7
Factor 3*k**2 - 5*k + 2 + 9*k**3 - 6 - 3*k.
(k - 1)*(3*k + 2)**2
Let z(f) = 2*f**2 + 8*f + 7. Let w be 2 + -2 - (-4 + 9). Let b be z(w). Suppose 2*t**3 - t**3 - 16 + b - t**2 - t = 0. Calculate t.
-1, 1
Suppose 231 = -7*d + 245. Factor -27/4 - 3/4*m**d - 9/2*m.
-3*(m + 3)**2/4
Let a(b) be the second derivative of 9/2*b**2 + 1/12*b**4 + b**3 - 3*b + 0. Determine s, given that a(s) = 0.
-3
Let b(k) be the second derivative of -k**7/2520 + k**6/180 - k**5/40 + k**4/2 - 6*k. Let y(v) be the third derivative of b(v). Factor y(x).
-(x - 3)*(x - 1)
Determine x so that 8/3*x - 1/3*x**2 - 16/3 = 0.
4
Suppose -f - f = 4*j - 28, 3*j = -5*f + 49. Let r be (-2)/(-10)*10/f. Factor -r*y**2 + 0*y + 0.
-y**2/4
Let m(u) be the third derivative of -u**5/360 - u**4/144 + u**3/18 + 10*u**2. Factor m(x).
-(x - 1)*(x + 2)/6
Let n = -25 - -25. Let j(s) be the first derivative of -2/21*s**3 - 1/7*s**2 + 2 + n*s. Factor j(z).
-2*z*(z + 1)/7
Let a(s) be the first derivative of -s**5/15 - s**4/9 - s**3/27 + 30. Factor a(y).
-y**2*(y + 1)*(3*y + 1)/9
Suppose 0 = -3*k, p - 6*p - 4*k = -10. Suppose 1/2 - 1/2*h**p + 0*h = 0. What is h?
-1, 1
Let a be (0 - 2)/((-11)/(-66)). Let r be a/(-10)*(-40)/(-6). Solve r*v**3 - 3*v**3 + 0 - 9*v**2 + 7*v - v**4 - 2 = 0 for v.
1, 2
Let h(q) = 5*q**3 - 26*q**2 + 21*q - 11. Let m(n) = n**3 - 5*n**2 + 4*n - 2. Let t be (-3)/(2 - 3/6). Let a(x) = t*h(x) + 11*m(x). Solve a(f) = 0.
0, 1, 2
Let t = -5 - -7. Factor -2 - 3*i**3 - i**2 + 5*i**3 + 0*i**3 - 5*i**t + 6*i.
2*(i - 1)**3
Suppose 4*v = 3*v. Let h = 722 + -2162/3. Factor -h*m**3 + 0 - 2/3*m**4 - 2/3*m**2 + v*m.
-2*m**2*(m + 1)**2/3
Factor 3*c**2 + 0 - 4*c**3 - 2/3*c + 5/3*c**4.
c*(c - 1)**2*(5*c - 2)/3
Let x(a) = a**2 + 4*a + 2. Let g(b) = 1. Let k(v) = 2*g(v) + x(v). Factor k(w).
(w + 2)**2
Let m(k) be the first derivative of 5*k**3/3 - 5*k - 9. Factor m(q).
5*(q - 1)*(q + 1)
Let c(y) = 14*y**4 + 9*y**3 - 19*y**2 - 9*y - 5. Let q(b) = b**3 - b**2 - b - 1. Let d(l) = c(l) - 5*q(l). Suppose d(k) = 0. What is k?
-1, -2/7, 0, 1
Let u = 61 + -56. Let r(v) be the third derivative of 0 - 1/60*v**u + 0*v + 1/300*v**6 + v**2 + 1/210*v**7 + 0*v**3 - 1/60*v**4. What is c in r(c) = 0?
-1, -2/5, 0, 1
Let h = 3 - 1. Let z = 8 - 5. Solve -k**h - 3*k**4 - 2*k**z + 4*k**4 + k + k**3 = 0.
-1, 0, 1
Let a be (2 + 0)*1/(-2). Let m(i) = 1. Let f(y) = -2*y**2 + 6*y - 10. Let t(n) = a*f(n) - 6*m(n). Solve t(v) = 0 for v.
1, 2
Determine n, given that 378*n**3 + 60 + 1608*n**3 + 1435*n**2 + 323*n**4 + 52*n**4 + 500*n - 436*n**3 = 0.
-3, -2/5, -1/3
Let n(t) be the second derivative of t**4/27 + 4*t**3/27 - 16*t**2/9 - 48*t. Factor n(f).
4*(f - 2)*(f + 4)/9
Let k(g) be the first derivative of -3*g**5/20 + g**3/2 + 6*g + 9. Let v(n) be the first derivative of k(n). Find q, given that v(q) = 0.
-1, 0, 1
Let p be (0/2)/(2 + 0). Let m(v) be the third derivative of -1/60*v**4 + 0*v**3 + p*v - 1/150*v**5 + 0 + v**2. What is b in m(b) = 0?
-1, 0
Let j(h) = 2*h. Let z be j(-1). Let q be 0/(5 - 2) - z. Factor -q*y + y + y**2 + y + y.
y*(y + 1)
Let s(h) = -7*h**4 - 3*h**3 + 2*h**2 - 7*h + 5. Let g(a) = 3*a**4 + a**3 - a**2 + 3*a - 2. Let w(j) = 5*g(j) + 2*s(j). Find q, given that w(q) = 0.
-1, 0, 1
Let s(d) be the first derivative of 5*d**3/3 - 25*d**2/2 - 30*d + 11. Factor s(z).
5*(z - 6)*(z + 1)
Let z(u) be the third derivative of u**5/60 - 3*u**4/2 + 54*u**3 + 32*u**2. Factor z(n).
(n - 18)**2
Let u(d) = -2*d**2 - 3*d + 5. Let g(j) = -j + 1. Let n = -5 + 6. Let h(s) = n*u(s) - 5*g(s). Suppose h(x) = 0. What is x?
0, 1
Let q(n) be the second derivative of -n**7/21 + n**6/3 - 9*n**5/10 + 7*n**4/6 - 2*n**3/3 + 4*n. Suppose q(j) = 0. What is j?
0, 1, 2
Let s(c) be the first derivative of 2*c + 3/2*c**2 + 2 + 1/3*c**3. Solve s(k) = 0 for k.
-2, -1
Let l be (-482)/(-120) - (-8)/(-2). Let m(s) be the third derivative of -1/30*s**5 + 0*s + 0*s**3 + 0*s**4 + l*s**6 + 0 + 2*s**2. Suppose m(q) = 0. What is q?
0, 1
Let g(a) be the second derivative of 3*a**4/20 + a**3/5 - 3*a**2/10 - 6*a. Factor g(k).
3*(k + 1)*(3*k - 1)/5
Let i(s) be the first derivative of -3*s**2 - 5 - 1/3*s**3 - 9*s. Solve i(r) = 0 for r.
-3
Let i(n) be the second derivative of n**8/4200 + n**7/1050 + n**6/900 + n**3/2 + 4*n. Let g(d) be the second derivative of i(d). Factor g(k).
2*k**2*(k + 1)**2/5
What is u in -18/11 + 2/11*u**5 + 4/11*u**3 - 6/11*u - 10/11*u**4 + 28/11*u**2 = 0?
-1, 1, 3
Let y = -3 + 8. Solve y*r**2 + 0*r**2 + 0*r**2 - 3*r**2 - 2*r**3 = 0.
0, 1
Let w = 17/7 - 173/77. Suppose -4/11*t**2 - 2/11*t + 0 - w*t**3 = 0. Calculate t.
-1, 0
Let s be 8/(-3)*3/2. Let x be (-2)/s - (-3)/2. Determine c so that 3*c**x - 3 - c**2 + 1 = 0.
-1, 1
Let j(g) = 2*g**2 + 12*g + 14. Let z be j(-5). Let n(b) be the second derivative of 0 + 1/6*b**z - b - b**2 + 0*b**3. Factor n(q).
2*(q - 1)*(q + 1)
Factor 8/7*j**4 - 1/7*j**3 + 0*j**2 + 0*j + 0.
j**3*(8*j - 1)/7
Solve -19*q**3 + 50*q**4 + 8*q + 4*q**2 + 3*q**3 - 62*q**4 = 0 for q.
-1, 0, 2/3
Suppose -15*z + 12*z + 18 = 0. Let o(s) be the third derivative of -1/240*s**z + 1/48*s**4 + 0*s + 