o**2 + 1/110*o**t. Find r, given that h(r) = 0.
-2, -1, 0
Factor 1/9*d**3 - 7/9*d**2 - 1 + 5/3*d.
(d - 3)**2*(d - 1)/9
What is x in 5*x**3 - x**2 - 2*x**5 - 6*x + 4*x**3 - x**5 + 4*x**2 - 3*x**4 = 0?
-2, -1, 0, 1
Let z(f) be the first derivative of -2*f**5/75 + 4*f**4/15 - 4*f**3/15 - 8*f**2/3 - 10*f/3 + 17. Factor z(h).
-2*(h - 5)**2*(h + 1)**2/15
Let a(l) = l**2 + 1. Let s be a(-1). Let z = -12 - -14. Find k such that -8*k**2 + k - 3*k - 2*k**s - z*k = 0.
-2/5, 0
Suppose m - 2*w = -0*m - 5, -5*m = 5*w - 35. Factor -t - 4*t - 5*t**2 - 3 - t**m - 2*t + 0*t.
-(t + 1)**2*(t + 3)
Let f(k) be the third derivative of -k**7/840 + k**6/240 - k**5/240 - 5*k**2. Factor f(n).
-n**2*(n - 1)**2/4
Let u(z) be the first derivative of 7*z**6/150 - z**5/50 - 7*z**4/60 + z**3/15 - 3*z + 3. Let i(a) be the first derivative of u(a). Factor i(k).
k*(k - 1)*(k + 1)*(7*k - 2)/5
Let w(r) be the first derivative of -r**4/24 + r**3/6 + r - 2. Let k(g) be the first derivative of w(g). Solve k(x) = 0.
0, 2
Let f be -4 + 5/((-480)/(-388)). Let p(s) be the third derivative of 0*s - f*s**4 + 2*s**2 + 0 + 0*s**3 + 1/60*s**5. Factor p(o).
o*(o - 1)
Determine s, given that -1/3*s**4 - 1/3*s**3 + 2/3*s**2 + 0*s + 0 = 0.
-2, 0, 1
Determine g, given that 2/5 + 1/5*g - 1/5*g**2 = 0.
-1, 2
Factor 48*l**2 + 9 + 11*l + 38*l + 8*l.
3*(l + 1)*(16*l + 3)
Let o(w) = -w**3 + 17*w**2 + 30*w + 21. Let i(z) = -5*z**3 + 69*z**2 + 120*z + 85. Let s(g) = 6*i(g) - 26*o(g). Determine b, given that s(b) = 0.
-3, -1
Suppose 12*f + 20 = 17*f. Solve 0*j**3 - 3/7*j**f + 0*j + 0*j**2 + 0 = 0.
0
Let i = -9 + 9. Let m(y) be the first derivative of 0*y**3 + 2/25*y**5 - 3/10*y**4 + 4/5*y**2 + i*y + 1. Factor m(d).
2*d*(d - 2)**2*(d + 1)/5
Let m(o) be the second derivative of 0*o**5 + 0*o**3 + o + 1/30*o**6 - 1/42*o**7 + 0*o**4 + 0 + 0*o**2. Factor m(c).
-c**4*(c - 1)
Let t(b) be the second derivative of -b**4/16 - b**3/4 + 4*b. Factor t(i).
-3*i*(i + 2)/4
Let t(s) be the third derivative of 0*s**3 + 0 + s**2 + 0*s - 1/210*s**5 + 0*s**4. Determine b, given that t(b) = 0.
0
Let r(j) be the first derivative of 2 + 4*j - 16*j**3 + 44/5*j**5 + 8*j**6 - 14*j**4 + 4*j**2. Let r(f) = 0. What is f?
-1, -1/4, 1/3, 1
What is r in 6/11 - 1/11*r - 1/11*r**2 = 0?
-3, 2
Let a(o) be the third derivative of o**7/1540 - 2*o**6/495 + 7*o**5/660 - o**4/66 - o**3/6 - o**2. Let n(s) be the first derivative of a(s). Factor n(k).
2*(k - 1)**2*(3*k - 2)/11
Let u be ((-12)/(-126))/((-12)/(-21)). Let v(x) be the first derivative of -1/3*x + 2/9*x**3 + u*x**2 + 1. Factor v(y).
(y + 1)*(2*y - 1)/3
Let g(x) be the third derivative of -x**6/24 - x**5/2 + 2*x**2. Solve g(u) = 0 for u.
-6, 0
Let b(c) = -34*c**5 - 8*c**4 + 42*c**3 + 16*c**2 - 8. Let g(d) = d**5 + d**4 - d**3 + d - 1. Let a(l) = -b(l) + 8*g(l). Let a(v) = 0. Calculate v.
-1, -2/3, 0, 2/7, 1
Let o(s) = s**2 - s - 1. Let x(p) = 109*p**2 - 3*p - 4. Let c(t) = -o(t) + x(t). Let g be c(-2). Factor 489*w**2 - 222*w**2 + g*w**2 + 184*w + 882*w**3 + 16.
2*(7*w + 2)**2*(9*w + 2)
Let g(x) be the second derivative of x**4/4 - 3*x**3/2 + 3*x**2 - 16*x. Find o, given that g(o) = 0.
1, 2
Let p(f) be the third derivative of f**5/20 - 3*f**4/8 + f**3 - 4*f**2. Factor p(r).
3*(r - 2)*(r - 1)
Suppose 544 = 3*u - 5*d + d, u = -2*d + 178. Let y be (-5 - -10)*8/u. Factor 0 + 2/9*p**2 - y*p.
2*p*(p - 1)/9
Let i = 5 - 3. Suppose -5*o + 4*a - 4 = 6, 16 = -i*o + 4*a. Determine y so that -6*y**3 + 0*y**2 + 0*y**3 - 2*y**5 - 2*y**o - 6*y**4 = 0.
-1, 0
Let v(n) be the first derivative of n**4/2 - 4*n**3/3 + n**2 + 2. Factor v(r).
2*r*(r - 1)**2
Let s(m) = 17*m**2 - 17*m + 11. Let k(b) = -6*b**2 + 6*b - 4. Let r = 10 - 14. Let f(x) = r*s(x) - 11*k(x). Determine p, given that f(p) = 0.
0, 1
Determine x, given that 2/15*x + 2/15*x**3 + 0 + 4/15*x**2 = 0.
-1, 0
Suppose 0 = -2*d - 0 + 6. Let c = -2/39 + 5/13. Solve c*x**d + 0 - 1/3*x**2 + 0*x = 0 for x.
0, 1
Let g = -17 - -89/5. Suppose -g*z**3 + 32/5*z + 8/5 - 2*z**4 + 6*z**2 = 0. Calculate z.
-1, -2/5, 2
Let a(q) be the second derivative of 1/3*q**3 + 4/3*q**4 - q + 0 + 1/2*q**5 - 2*q**2. Find y, given that a(y) = 0.
-1, 2/5
Let c(u) be the third derivative of -1/96*u**4 - 1/240*u**5 + 0*u + 1/12*u**3 + 6*u**2 + 0. Find j such that c(j) = 0.
-2, 1
Let i(l) = -l - 4. Let m be i(-5). Let q be -2 + 6 + m + -3. What is n in -2/3*n**q + 2/3 + 0*n = 0?
-1, 1
Suppose -5*s = -2*h - 11, -3*h + 0*s = -2*s. Factor -1/6*y + 0 + 1/6*y**h.
y*(y - 1)/6
Let m be 3 + -7 + (-1 - -8). Let j(p) be the first derivative of 2/9*p**m + 2 - 2/15*p**5 + 0*p**2 + 0*p + 0*p**4. Factor j(c).
-2*c**2*(c - 1)*(c + 1)/3
Let j(t) be the second derivative of 1/9*t**4 + 3*t - 1/6*t**2 + 0 - 1/6*t**3. Factor j(w).
(w - 1)*(4*w + 1)/3
Suppose 1 - 9/2*m + 3/2*m**4 - 11/2*m**3 + 15/2*m**2 = 0. What is m?
2/3, 1
Let g(a) be the first derivative of 3/28*a**4 + 3 + 0*a**3 - 3/14*a**2 + 0*a. Suppose g(c) = 0. What is c?
-1, 0, 1
Factor 2*f**3 - 5/4*f**4 - f**2 + 0*f + 0 + 1/4*f**5.
f**2*(f - 2)**2*(f - 1)/4
Factor 8 - 6 - 15 - 11 - 4*n**2 - 28*n.
-4*(n + 1)*(n + 6)
Let u(q) = -q + 5. Let n be u(0). Let v(b) be the first derivative of 0*b**2 + 2/25*b**n + 0*b**4 - 2/15*b**3 + 0*b + 2. Factor v(l).
2*l**2*(l - 1)*(l + 1)/5
Let z(t) be the first derivative of 21*t**5/5 + 9*t**4 + 3*t**3 - 3*t**2 + 2. Suppose z(v) = 0. Calculate v.
-1, 0, 2/7
Let v(z) be the second derivative of -z**8/840 + z**7/420 + z**6/180 - z**5/60 + z**3/6 + 2*z. Let d(k) be the second derivative of v(k). Factor d(l).
-2*l*(l - 1)**2*(l + 1)
Let k(v) = v**3 + 2*v**2 + 7*v + 5. Let y(g) = -2*g**3 - 4 - 6*g + 2*g**3 - g**3 - g**2 + 0*g**2. Let h(s) = 4*k(s) + 5*y(s). What is f in h(f) = 0?
0, 1, 2
Let b(f) be the first derivative of 15/4*f**4 + 3/5*f**5 + 6*f**2 - 2 + 8*f**3 + 0*f. Find l such that b(l) = 0.
-2, -1, 0
Suppose 0 = -4*t + 3*c + 14, -2*t + 2*c = -5*t + 2. Let u = t - -1. Find p such that 3*p + 5*p**u + 2 - 5*p**3 - p**3 = 0.
-1, 2
Let k = 452 - 270. Let -182 - 6*q**4 + 2*q**5 - 2*q**2 + 6*q**3 + k = 0. Calculate q.
0, 1
Let k(i) be the first derivative of -i**5 - 5*i**4/2 - 5*i**3/3 + 7. Factor k(c).
-5*c**2*(c + 1)**2
What is u in -2*u**2 - 22/7*u**3 + 0 - 10/7*u**4 - 2/7*u = 0?
-1, -1/5, 0
Let t be (-54)/40 - 189/(-108). Factor -18/5*u**3 + 12/5*u**2 - t*u + 8/5*u**4 + 0.
2*u*(u - 1)**2*(4*u - 1)/5
Let n(v) be the third derivative of -v**6/120 + v**5/20 - 2*v**3/3 - 2*v**2. Factor n(d).
-(d - 2)**2*(d + 1)
Factor -4/5 + 1/10*y**3 + 6/5*y - 3/5*y**2.
(y - 2)**3/10
Let q = 149 + -147. Factor -1/7*u + 1/7*u**3 + 3/7 - 3/7*u**q.
(u - 3)*(u - 1)*(u + 1)/7
Suppose -11 = -6*r + 7. Let b(c) be the first derivative of 2*c**2 - 14/3*c**r - 2 + 0*c. Factor b(s).
-2*s*(7*s - 2)
Let d(w) be the third derivative of w**5/30 + w**4/6 - w**3 - 11*w**2. Factor d(b).
2*(b - 1)*(b + 3)
Let t(u) be the first derivative of 0*u + 2/3*u**3 - 4 + 2/5*u**5 + 0*u**2 + u**4. Factor t(o).
2*o**2*(o + 1)**2
Let a(i) be the third derivative of i**8/378 + 2*i**7/135 + 4*i**6/135 + 2*i**5/135 - i**4/27 - 2*i**3/27 + 2*i**2 + i. Solve a(z) = 0 for z.
-1, 1/2
Let r be 42/135 - (214/(-18) - -12). Factor -1/5*u**2 - 2/5*u**3 + 0*u + 0 - r*u**4.
-u**2*(u + 1)**2/5
Let u(h) be the first derivative of 2*h**5/15 - 5*h**4/6 + 2*h**3 - 7*h**2/3 + 4*h/3 + 23. Factor u(n).
2*(n - 2)*(n - 1)**3/3
Let i(b) = -6*b**5 + 4*b**4 - 2*b**3 - 4*b**2 - 4. Let q(m) = -7*m**5 + 5*m**4 - 3*m**3 - 5*m**2 - 5. Let g(k) = 5*i(k) - 4*q(k). Suppose g(h) = 0. Calculate h.
-1, 0, 1
Let d be (6/(-5))/((-2)/(-20)). Let w be -1 + -2 - 60/d. Factor -1/2*i**w + 1/4*i - 1/4*i**3 + 1/2.
-(i - 1)*(i + 1)*(i + 2)/4
Let b(o) = -4*o**2 - o - 5. Let k(q) = -5*q**2 - 2*q - 6. Let a(i) = 6*b(i) - 5*k(i). Let t be a(-4). Factor t - u**4 - 1/3*u**2 + 1/3*u**5 + u**3 + 0*u.
u**2*(u - 1)**3/3
Let p(j) be the second derivative of j**4/48 - 5*j**3/24 + 3*j**2/4 + 18*j. Determine s so that p(s) = 0.
2, 3
Let u(m) be the third derivative of -m**5/15 - 10*m**4/3 - 200*m**3/3 + 8*m**2. Factor u(p).
-4*(p + 10)**2
Let s(f) = 2*f - 3 - 2 - 3 - 4 + f**2. Let q be s(-5). Factor 0*a**q + 0 - 2/5*a**2 + 0*a + 2/5*a**4.
2*a**2*(a - 1)*(a + 1)/5
Factor -2*d**2 + 5*d**2 + 1441*d**4 - 6*d**3 - 1438*d**4.
3*d**2*(d - 1)**2
Let j(i) be the first derivative of 1/3*i**6 - 1 + 0*i - i**4 + 0*i**5 + i**2 + 0*i*