 2/5*i**3 - 9/20*i**4 + 2/5*i. Factor p(d).
-(d + 1)*(3*d - 2)*(3*d + 1)/5
Let c(v) be the first derivative of -v**8/280 + v**7/105 - v**6/180 - 2*v**3/3 - 4. Let x(w) be the third derivative of c(w). Let x(h) = 0. What is h?
0, 1/3, 1
Factor 6*w + 7*w - 4*w - 3*w**3 + 3*w.
-3*w*(w - 2)*(w + 2)
Let u(m) be the first derivative of 1/6*m**3 + 4 + 0*m**2 + 0*m + 0*m**4 - 1/10*m**5. Factor u(y).
-y**2*(y - 1)*(y + 1)/2
Let x(t) be the second derivative of -t**6/6 - 5*t**5/2 - 85*t**4/12 - 20*t**3/3 + 15*t. Factor x(l).
-5*l*(l + 1)**2*(l + 8)
Let k(a) = -14*a**2 + a - 5. Let u(m) = -42*m**2 + 2*m - 14. Let z(i) = -14*k(i) + 5*u(i). Factor z(q).
-2*q*(7*q + 2)
Factor 0*n**2 + 9/4*n - 3/2 - 3/4*n**3.
-3*(n - 1)**2*(n + 2)/4
Let l(p) be the first derivative of 2/3*p**3 - 3/2*p**2 + 5 + p. Factor l(r).
(r - 1)*(2*r - 1)
Let s(t) = t**2 - 2*t - 5. Let n be s(4). Determine i so that 60*i**3 + 3*i + 3 - 24*i**2 - 12*i**n - 3 = 0.
0, 1/4
Suppose 6*v = 2*v + 8. Let b = v - 2. Factor -2/7*q**2 + 2/7*q**3 + 0*q + b.
2*q**2*(q - 1)/7
Let h(l) be the third derivative of l**10/378000 - l**9/75600 + l**8/50400 - l**5/60 - l**2. Let q(c) be the third derivative of h(c). What is t in q(t) = 0?
0, 1
Let i(b) be the first derivative of -b**4/12 + b**2/6 - 8. Factor i(c).
-c*(c - 1)*(c + 1)/3
Let k(l) = l**3 - l**2. Let b(d) be the first derivative of 3*d**4/4 + d**3/3 + 3*d**2/2 + d + 4. Let x(w) = 2*b(w) - 4*k(w). Factor x(q).
2*(q + 1)**3
Let h(u) be the third derivative of 0*u + 3/20*u**5 + 1/10*u**6 + 0 + 0*u**3 + 3*u**2 + 1/42*u**7 + 1/12*u**4. Find q such that h(q) = 0.
-1, -2/5, 0
Let g(k) be the second derivative of 0*k**2 + 0 - k**3 + 3/20*k**5 - 6*k - 1/4*k**4. Suppose g(d) = 0. What is d?
-1, 0, 2
Let g(d) be the first derivative of -2*d**3/15 - 2*d**2/5 - 26. Suppose g(t) = 0. Calculate t.
-2, 0
Suppose -3*y - 6 - 13 = -2*x, 6 = -2*x - 2*y. Let g(u) be the third derivative of -x*u**2 - 1/12*u**4 + 0*u - 1/30*u**5 + 2/3*u**3 + 0. Factor g(a).
-2*(a - 1)*(a + 2)
Suppose -3*d + 2*k + 12 = -1, 0 = d + 5*k + 7. Factor 24*c**4 - 26*c**4 - c**d + 2*c**2 + c**3 - c + c**5.
c*(c - 1)**3*(c + 1)
Suppose 5 = 4*b - 3. Let a(m) = -m**2 - m + 5. Let l be a(0). Let 3*r + 2*r**b - l*r - 2*r = 0. Calculate r.
0, 2
Suppose -21 + 5 = -4*k. Determine n, given that 2*n - 4*n**4 + 12*n**4 - n**2 - 4*n**3 - 5*n**k = 0.
-2/3, 0, 1
Let o(v) be the first derivative of 8*v**6/15 - 56*v**5/25 + 57*v**4/20 - 19*v**3/15 + v**2/5 - 25. Determine h so that o(h) = 0.
0, 1/4, 1, 2
Let h = -253/2 + 127. Let h + f + 1/2*f**2 = 0. Calculate f.
-1
Let l(x) be the first derivative of -8/5*x**5 - 160/33*x**3 - 6 - 16/11*x**2 - 7/33*x**6 - 48/11*x**4 + 0*x. Find r, given that l(r) = 0.
-2, -2/7, 0
Let 4*r**4 - 3*r**2 + 0*r**4 + 2*r**2 - 3*r**4 = 0. Calculate r.
-1, 0, 1
Let n(y) be the first derivative of 2*y**6/3 - 4*y**5 + 9*y**4 - 28*y**3/3 + 4*y**2 + 13. Factor n(d).
4*d*(d - 2)*(d - 1)**3
Suppose 3*y - 4 = 5*q - 1, 2*q - 2*y = -2. Suppose z + q*z = 2. What is f in -4*f**z + 0*f**3 - 3*f**3 - 3*f**3 - f**4 + 2*f**3 = 0?
-2, 0
Let f(x) be the second derivative of x**7/105 - x**6/25 + 3*x**5/50 - x**4/30 - 6*x. Factor f(a).
2*a**2*(a - 1)**3/5
Let u(r) be the first derivative of -r**6/54 + 2*r**5/45 + 5. Factor u(m).
-m**4*(m - 2)/9
Let i(m) be the first derivative of -5*m**6/18 + 7*m**5/6 - 23*m**4/12 + 14*m**3/9 - 2*m**2/3 - 4*m + 1. Let h(n) be the first derivative of i(n). Factor h(y).
-(y - 1)**2*(5*y - 2)**2/3
Let y = 13 + -7. Suppose -z + y*z + 5*r = 0, 4*z - 4*r = 16. Let 0 - 1/4*k**5 - 1/4*k**z + 1/4*k**4 + 0*k + 1/4*k**3 = 0. What is k?
-1, 0, 1
Let f = 31 + -26. Solve 2*o**3 + o**3 - 8*o**4 + 11*o**4 + o**f + 0*o**5 + o**2 = 0 for o.
-1, 0
Let g(j) = -7*j**2 + 1 - 4*j**3 + 4*j + 0*j**3 - 5*j - j. Let v(h) = 3*h**3 + 6*h**2 + 3*h. Let q(x) = 2*g(x) + 3*v(x). Determine b, given that q(b) = 0.
-2, -1
Let o be (-5 + (6 - -3) + -4)/1. Factor o + 2/11*j + 6/11*j**2.
2*j*(3*j + 1)/11
Let r(q) be the second derivative of q**5/30 - q**4/9 - q**3/9 + 2*q**2/3 + 7*q. Factor r(w).
2*(w - 2)*(w - 1)*(w + 1)/3
Suppose 2*j - 12 - 2 = 0. Let r be 3 - (0 - (4 - j)). Factor r - 1/4*i**2 + 0*i.
-i**2/4
Let z be 18/4 - (-3)/(-18)*-3. Factor 2*f**z + 42/5*f**3 + 22/5*f**2 + 0 + 34/5*f**4 + 4/5*f.
2*f*(f + 1)**3*(5*f + 2)/5
Let b(j) = j**3 + 1. Let l(n) = 2*n**3 + n + 3. Let a(i) = -3*b(i) + l(i). Factor a(o).
-o*(o - 1)*(o + 1)
Let a = -136/105 + 28/15. Let j = -1 - -3. Find s such that -a*s - 2/7*s**j - 2/7 = 0.
-1
Suppose 4/13 - 2/13*w**3 + 6/13*w**2 + 10/13*w - 2/13*w**4 = 0. Calculate w.
-1, 2
Let a(c) be the second derivative of c**5/30 - c**4/3 + 4*c**3/3 + 5*c**2/2 + 6*c. Let p(b) be the first derivative of a(b). Find t, given that p(t) = 0.
2
Let v = 228 + -1363/6. Let s(h) be the second derivative of 0 + 2*h**2 + v*h**4 - h + 7/3*h**3. Factor s(q).
2*(q + 1)*(5*q + 2)
Let m(x) = 6*x**2 + 7*x. Let k(p) = 7*p**2 + 8*p. Let h(v) = -5*k(v) + 6*m(v). Factor h(w).
w*(w + 2)
Let y = 6 - 4. Factor 4*n**2 - 3*n**y + n**3 - n**3 + n**3.
n**2*(n + 1)
Suppose 29 - 14 = 5*y. Solve 0 - 4/5*w - 6/5*w**2 + 2*w**y = 0 for w.
-2/5, 0, 1
Let m(y) be the third derivative of y**5/180 - y**4/18 + 2*y**3/9 - 8*y**2. Solve m(z) = 0 for z.
2
Let q = 4 + -7. Let o be 1 + q + (-36)/(-15). Factor -4/5*n + 2/5*n**2 + o.
2*(n - 1)**2/5
Let n = -838/3 + 280. Determine r, given that 32/3 + 16/3*r + n*r**2 = 0.
-4
Let w be ((-24)/20)/((-6)/20). Let h = -2 + w. Factor 2 + s**2 + s - h.
s*(s + 1)
Let i(n) be the second derivative of n**6/5 - 57*n**5/40 + 3*n**4/8 + 17*n**3/2 + 6*n**2 + n. Find m, given that i(m) = 0.
-1, -1/4, 2, 4
Let c(d) be the first derivative of 2*d**5/45 - 8*d**3/27 - 32. Solve c(o) = 0 for o.
-2, 0, 2
Let o(r) = r**2 - r - 1. Let y be o(3). Suppose -3*m + 8*m = 4*f - 5, 22 = -m + y*f. Determine j, given that 1/3*j**4 + 1/3*j**2 - 2/3 + j - j**m = 0.
-1, 1, 2
Let b be -4 - (4 - (-12)/(-1)). Factor -8/5*t**b - 12/5*t**3 - 2/5*t**5 + 0 - 2/5*t - 8/5*t**2.
-2*t*(t + 1)**4/5
Let z(b) = 14*b**2 - 8*b + 1. Let d(j) = -3*j**2 - j - 1. Let h(s) = -s**2 + s. Let f(p) = -d(p) - 6*h(p). Let r(i) = -7*f(i) + 5*z(i). Factor r(q).
(q - 1)*(7*q + 2)
Let n be 2 + -2*4/(-2). Determine u, given that n*u**2 + 2*u**3 - 4*u**3 - 3*u**3 - 4*u**5 - 6*u**4 + 7*u**3 + 2*u = 0.
-1, -1/2, 0, 1
Let q be (-10)/3*(-9)/6. Factor -8*b**4 - 6*b**5 + b**q - 3*b**5 - 2*b**3 + 0*b**5.
-2*b**3*(2*b + 1)**2
Let f be 606/45 - 6/9. Let d = f + -12. Suppose -d*q**3 + 4/5*q - 2/5 + 2/5*q**4 + 0*q**2 = 0. Calculate q.
-1, 1
Let y(b) be the first derivative of -5*b**6/3 - 83*b**5/10 - 55*b**4/4 - 47*b**3/6 + b**2 + 2*b + 7. Find w such that y(w) = 0.
-2, -1, -2/5, 1/4
Factor 0 + 2/7*o**3 - 10/7*o - 8/7*o**2.
2*o*(o - 5)*(o + 1)/7
Let c be 28/(-20)*60/(-140). Factor 0*b + 0 - 3/5*b**3 - c*b**2.
-3*b**2*(b + 1)/5
Let v(r) be the third derivative of -1/60*r**6 + 0*r**3 + 0 - 2*r**2 + 0*r**4 + 0*r + 1/105*r**7 + 0*r**5. What is m in v(m) = 0?
0, 1
Suppose 10 = 4*p - 6. Suppose 0 = 3*k - k - 5*h - 9, -p*k + 4*h + 12 = 0. Factor 19*b - b**k - b**4 - 19*b - 2*b**3.
-b**2*(b + 1)**2
Let b be 354/(-13) + -2 + 2. Let y = -3004/117 - b. Determine d so that 8/3*d**4 + 0*d + 2/3*d**3 + 0 - 4/9*d**2 + y*d**5 = 0.
-1, 0, 2/7
Let y(u) = u**2 + 2*u - 4. Let t be y(-4). Let s be -6*((-8)/(-3))/(-4). Find q such that -q**3 - 4*q**s + 10*q**4 - t*q**5 - q**3 = 0.
0, 1/2, 1
Suppose 8*r - 7*r - 3 = 0. Factor -18*h**3 - h**r + 4*h**3 + h**3 - 4*h**2.
-2*h**2*(7*h + 2)
Suppose -12 - 3 = -5*h. Suppose 5*g + 2*w - 14 = 0, g + 4*w = -0*g + 10. Let h*u + u + u**2 + u**g = 0. What is u?
-2, 0
Let h(i) be the third derivative of i**7/1470 - i**6/168 + 2*i**5/105 - i**4/42 + 4*i**2 + 2*i. Determine o, given that h(o) = 0.
0, 1, 2
Let 0*c**3 + 0*c - 2/3*c**4 + 0*c**2 + 0 = 0. What is c?
0
Let s(k) be the first derivative of -1/2*k - 1/6*k**3 - 5 + 1/2*k**2. Determine c so that s(c) = 0.
1
Let q(r) be the second derivative of -1/3*r**3 + 0 - 1/3*r**4 - 2*r - 1/10*r**5 + 0*r**2. Factor q(a).
-2*a*(a + 1)**2
Let n(s) be the third derivative of -s**5/150 - s**4/15 + 19*s**2. Solve n(l) = 0 for l.
-4, 0
Factor -1/4*x**2 + x - 1.
-(x - 2)**2/4
Suppose 79*n**3 - 10*n**4 - 6*n**5 + n**5 + 0*n**5 + 20*n - 64*n**3 + 40*n**2 = 0. What is n?
-2, -1, 0, 2
Let x = -14728/5 - -3001. Let u 