. Determine f so that 2/5*f**3 + g - 8/5*f**2 + 6/5*f = 0.
0, 1, 3
Let a(r) be the third derivative of r**5/60 + r**4/6 + 2*r**3/3 - 12*r**2. Solve a(c) = 0.
-2
Suppose -3*o + 9 = 9. Let n(b) be the third derivative of 0 - b**2 + 1/3*b**4 + 3/4*b**6 + 4/5*b**5 + o*b**3 + 0*b + 5/21*b**7. Find s, given that n(s) = 0.
-1, -2/5, 0
Suppose -3*n + 4 + 1 = -5*m, -4*n - 5*m = 5. Let n*i + 0 + 1/4*i**2 = 0. Calculate i.
0
Let c(y) be the second derivative of -y**5/35 + 2*y**3/7 + 4*y**2/7 + 8*y. Factor c(x).
-4*(x - 2)*(x + 1)**2/7
Let -4/3*b + 2/3*b**2 - 2 = 0. What is b?
-1, 3
Let d(j) be the second derivative of j**6/120 + j**5/80 - j**4/48 - j**3/24 + 16*j. Factor d(a).
a*(a - 1)*(a + 1)**2/4
Suppose -v = 5*q + 3*v - 12, -2*v + 6 = -2*q. Factor 2/9*p**2 + q + 2/9*p**3 + 0*p.
2*p**2*(p + 1)/9
Suppose 0 = 3*p - 2*o - 9 - 5, -3*p - o = -2. Solve 377*f - 377*f + 16*f**4 + 8*f**p - 4*f**5 - 20*f**3 = 0 for f.
0, 1, 2
Factor 10*r**5 + 0*r**2 - 4*r**4 - 11*r**5 - 2*r**2 - 5*r**3.
-r**2*(r + 1)**2*(r + 2)
Suppose -150*g = -149*g. Let f(b) be the second derivative of -1/30*b**3 - 4*b + g*b**2 + 0 - 1/60*b**4. Find p, given that f(p) = 0.
-1, 0
Let d = 5 - 2. Suppose -z + 7*p = d*p + 10, -3*z = -p - 3. Factor -2/3*o + 2*o**2 + 0 - z*o**3 + 2/3*o**4.
2*o*(o - 1)**3/3
Let n(p) be the third derivative of -5*p**8/336 + p**7/30 + p**6/40 - 7*p**5/60 + p**4/12 - 7*p**2. Solve n(s) = 0 for s.
-1, 0, 2/5, 1
Suppose 0*l = l + 5. Let b(z) = 14*z**2 - 5*z + 8. Let o(i) = -9*i**2 + 3*i - 5. Let d(s) = l*b(s) - 8*o(s). Find q, given that d(q) = 0.
-1/2, 0
Factor -3*f**5 + 100*f**2 + 7*f**5 + 64*f + 16 + 62*f**3 + 28*f**4 + 14*f**3.
4*(f + 1)**3*(f + 2)**2
Let a(m) = -m**4 + m**2 - m + 1. Let h(f) = -3*f**2 + 2*f - 4 + 7*f**4 + 3*f**3 + 2*f**5 - f**5 + 2*f. Let b(n) = 4*a(n) + h(n). Factor b(u).
u**2*(u + 1)**3
Let y(z) be the second derivative of -1/8*z**2 - z - 1/48*z**4 + 1/12*z**3 + 0. Let y(x) = 0. What is x?
1
Let s be ((-3)/(-2))/(4/8). Suppose -39*f**2 - 72*f**5 + 7*f + 60*f**4 + 12*f**2 + 18*f**s - f = 0. What is f?
-2/3, 0, 1/2
Let l = 10 - 8. Determine a, given that a**2 - 4*a**3 - 2*a**4 - a**3 + l*a + 3*a**3 + a**2 = 0.
-1, 0, 1
Suppose y = -6 + 21. Let m be (-2)/(-5) + 9/y. What is i in -6*i**2 - m + 4*i**2 + 12*i**2 - 9*i**4 = 0?
-1, -1/3, 1/3, 1
Factor -15*k**2 - 11 + 34*k + 11*k - 5*k**3 - 14.
-5*(k - 1)**2*(k + 5)
Suppose -5*g - 3*f + 32 = 0, -2*g - 4*f = -f - 20. Solve 50*y**g - 37*y**5 - 46*y**2 + 9*y**5 + 22*y + 4*y - 4 + 2*y**3 = 0.
-1, 2/7, 1/2, 1
Let y(z) be the second derivative of z**4/78 - 17*z. Determine h, given that y(h) = 0.
0
Let p(f) be the first derivative of f**4/22 + 16*f**3/33 + 36. Solve p(m) = 0 for m.
-8, 0
What is h in 0*h + 0 - 16/5*h**4 + 2*h**5 + 2/5*h**3 + 4/5*h**2 = 0?
-2/5, 0, 1
Suppose -3*r = -5*d - 26, -4 = d - 0. Factor 2/3*n**r + 4/3 + 2*n.
2*(n + 1)*(n + 2)/3
Factor 4*o**3 - 2*o**2 + 4 - 6*o**2 - 4*o + 4*o**2.
4*(o - 1)**2*(o + 1)
Let m(p) be the second derivative of p**5/120 + p**4/36 + p**3/36 + 9*p. Let m(j) = 0. Calculate j.
-1, 0
Let r be ((-22)/3)/(2/(-6)). What is n in r*n - 1 + n**2 - 22*n = 0?
-1, 1
Let u = 7 + -4. Let f(t) = -3*t**5 + t**4 + 2*t**3 + 2*t - 2. Let a(d) = -4*d**5 + d**4 + 2*d**3 + 3*d - 3. Let y(j) = u*f(j) - 2*a(j). Factor y(s).
-s**3*(s - 2)*(s + 1)
Let g(f) be the first derivative of 0*f + 5 - f**3 + 0*f**2 - 3/5*f**5 + 3/2*f**4. Let g(w) = 0. Calculate w.
0, 1
Suppose 2*t + 0*t = -286. Let a = 719/5 + t. Find p, given that a*p - 2/5 - 2/5*p**2 = 0.
1
Let p(g) be the second derivative of g**5/220 + g**4/132 - g**3/66 - g**2/22 - 17*g. Let p(h) = 0. Calculate h.
-1, 1
Let c be (-1 + 1)/(4 + -3). Suppose -2*k + 3*y + 4 = c, -k + 2*y + 2 = -0. Factor 2*w**2 + 3*w**k - 4*w**2.
w**2
Let w(j) be the first derivative of 0*j**2 + 2/55*j**5 + 0*j + 0*j**3 + 1/22*j**4 - 3. Factor w(d).
2*d**3*(d + 1)/11
Let n(s) be the first derivative of -3 - 1/12*s**3 - 1/8*s**2 + 0*s + 1/20*s**5 + 1/16*s**4. Factor n(l).
l*(l - 1)*(l + 1)**2/4
Suppose 2*n - 3*n = 0. Let z(r) be the second derivative of -1/6*r**3 + 1/120*r**6 + 1/8*r**4 + n + 1/16*r**5 - r**2 + 2*r. Determine g, given that z(g) = 0.
-2, 1
Let s = -2 - -5. Suppose -2*m + 2*m + 6*m**3 - m**2 - s*m**4 - 9*m**3 - m**5 = 0. Calculate m.
-1, 0
Let u(i) be the first derivative of -i**6/18 + 4*i**5/15 - 5*i**4/12 + 2*i**3/9 + 26. Factor u(w).
-w**2*(w - 2)*(w - 1)**2/3
Let v(d) be the second derivative of -d**4/54 - d**3/9 - 2*d**2/9 + 11*d. Factor v(o).
-2*(o + 1)*(o + 2)/9
Let d = -57 - -61. Let r(c) be the second derivative of 0*c**2 + 2/5*c**5 + 0 + 0*c**3 + 1/6*c**d + 1/5*c**6 + 3*c. Factor r(b).
2*b**2*(b + 1)*(3*b + 1)
Let b(x) = -40*x**4 - 15*x**3 + 26*x**2 + 3*x - 2. Let y(h) = 39*h**4 + 15*h**3 - 26*h**2 - 3*h + 2. Let c(f) = 3*b(f) + 4*y(f). Find t such that c(t) = 0.
-1, -1/3, 1/4, 2/3
Let x(z) be the first derivative of 64*z**5/65 - 28*z**4/13 + 24*z**3/13 - 10*z**2/13 + 2*z/13 + 13. Find q such that x(q) = 0.
1/4, 1/2
Suppose 23*t + 30 = 33*t. Let w be (4/(-3))/(1/(-3)). Suppose 0*s**t + 0 - 1/5*s**2 + 0*s + 1/5*s**w = 0. Calculate s.
-1, 0, 1
Let d = -17 - -21. Suppose -r - 6 = -x - d*x, -4*r + 4*x + 8 = 0. Determine s so that 2/7*s**5 - 12/7*s**4 + r*s**3 + 18/7*s - 32/7*s**2 - 4/7 = 0.
1, 2
Let y(c) be the second derivative of 0 + 1/2*c**3 - 1/30*c**6 + 1/3*c**2 - c - 1/60*c**5 + 1/4*c**4. Determine z so that y(z) = 0.
-1, -1/3, 2
Let v = 24 + -21. Let a(d) be the first derivative of -5/3*d**v + 3/4*d**4 + 1/2*d**2 + 1 + d. Factor a(n).
(n - 1)**2*(3*n + 1)
Factor 2*u**2 + 6/5*u + 2/5*u**3 - 18/5.
2*(u - 1)*(u + 3)**2/5
Let k be 15/(-10) - 1/((-9)/87). Find w, given that 35/3*w**3 - 10/3*w - 1/2*w**2 + k*w**4 + 2/3 = 0.
-1, 2/7
Let -3/7*g**2 + 0 - 1/7*g**3 + 4/7*g = 0. What is g?
-4, 0, 1
Suppose -4*w + 15*w - 22 = 0. Let o be (-2 + 1 - 1)/(-3). Determine p so that 0 + 2/3*p**w + 1/3*p - 1/3*p**3 - o*p**4 = 0.
-1, -1/2, 0, 1
Let z = 23 - 37. Let r(c) = -6*c**2 + 26*c. Let n(t) = -2*t**2 + 9*t. Let d(l) = z*n(l) + 5*r(l). Factor d(h).
-2*h*(h - 2)
Let j(b) be the first derivative of 3*b**4/4 + 3*b**3 - 3*b**2/2 - 9*b + 10. Factor j(h).
3*(h - 1)*(h + 1)*(h + 3)
Let i = -213 - -215. Solve -1/3*b**i + 1/3 + 1/2*b - 1/2*b**3 = 0.
-1, -2/3, 1
Let a = -751/60 - -38/3. Let u(d) be the second derivative of 1/3*d**3 + 0*d**2 - 5/12*d**4 + d + 0 + a*d**5. Factor u(x).
x*(x - 1)*(3*x - 2)
Suppose 3*f - 4*r + 70 = 14, 5*r - 90 = 5*f. Let d = 18 + f. Factor 3/2*n**4 + 0 + 1/2*n**5 + 0*n + 1/2*n**d + 3/2*n**3.
n**2*(n + 1)**3/2
Let n(i) = -i - 1. Let f be n(-2). Let k be 0/f + 6/2. Factor 0*h**2 + 5*h - k*h + 2*h**2.
2*h*(h + 1)
Let g(u) be the first derivative of -u**4/26 - 2*u**3/13 - 2*u**2/13 - 1. Factor g(r).
-2*r*(r + 1)*(r + 2)/13
Let q(w) be the second derivative of -w**7/84 - w**6/30 + w**5/20 + w**4/6 - w**3/12 - w**2/2 + 7*w. Solve q(p) = 0 for p.
-2, -1, 1
Let y(s) be the first derivative of 1/6*s**3 + 0*s + 1/4*s**2 + 4. Determine w so that y(w) = 0.
-1, 0
Let c(w) be the first derivative of -w**5/20 - w**4/8 + w**3 + 2*w**2 + 1. Let t(a) be the second derivative of c(a). Factor t(d).
-3*(d - 1)*(d + 2)
Factor 2/7*b - 2/7*b**5 - 4/7*b**2 + 0*b**3 + 0 + 4/7*b**4.
-2*b*(b - 1)**3*(b + 1)/7
Let v(k) be the first derivative of k**4/4 - k**3/3 - k**2/2 + k - 9. Factor v(f).
(f - 1)**2*(f + 1)
Let q(g) be the third derivative of -1/630*g**7 - 1/36*g**4 + 1/180*g**6 + 1/18*g**3 + 0 - g**2 + 0*g + 0*g**5. Factor q(b).
-(b - 1)**3*(b + 1)/3
Suppose 10 = 2*a - 2*r, -7*r - 22 = -5*a - 3*r. Factor o**2 + o**2 + a*o + 2*o.
2*o*(o + 2)
Find g, given that -8*g - 2*g**2 - 19 + 7 + 0*g**2 + 4 = 0.
-2
Suppose 0 = 5*j - 2*y + 53 + 2, y = -5*j - 55. Let k = -7 - j. What is l in -3/4*l**k + 0*l**2 + 0 - 1/4*l**3 + 0*l = 0?
-1/3, 0
Let l = 1051 + -5231/5. Factor -18/5*s**2 + 0 - 2*s**4 + l*s**3 + 4/5*s.
-2*s*(s - 1)**2*(5*s - 2)/5
Let r be 116/87*(3/4)/3. Let d(y) be the first derivative of -r*y**3 + 0*y - y**2 - 4. Let d(n) = 0. Calculate n.
-2, 0
Let z(c) be the first derivative of c**5 - 5*c**4 - 10*c**3/3 + 30*c**2 + 45*c - 1. Suppose z(m) = 0. What is m?
-1, 3
Let r(i) be the second derivative of i**4/6 - i**3/2 + i**2/2 + 3*i. Let g(y) = -2*y**2 + 4*y - 2. Let d = 11 + -7. Let f(k) = d*r(k) + 3*g(k). Factor f(n).
2*(n - 1)*(n + 1)
Let k(s) be the third 