 1/150*u**5 - 2*u**2 + 2/15*u**3. Factor o(j).
2*(j + 1)*(j + 2)/5
Let f be (-6)/(-16) + 3/(-9). Let z(n) be the third derivative of 0*n**3 - f*n**4 + 0*n + 1/60*n**5 - 2*n**2 + 0. Factor z(h).
h*(h - 1)
Let c(n) = -4*n**3 - 4*n**2 - 4*n - 4. Let o(r) = 5*r**3 + 3*r**2 + 3*r + 5. Let z(p) = 3*c(p) + 2*o(p). Determine u, given that z(u) = 0.
-1
Let p(x) be the second derivative of x**8/840 + 2*x**7/525 - x**5/75 - x**4/60 - 9*x**2/2 - 9*x. Let g(m) be the first derivative of p(m). Factor g(v).
2*v*(v - 1)*(v + 1)**3/5
Suppose 4*q + 2*h - 72 = 0, 0 = -5*q + 4*h + 32 + 32. Let l = -14 + q. Find m such that 2/9*m**l + 0 + 0*m - 4/9*m**3 + 2/9*m**4 = 0.
0, 1
Let h = -66 - -68. Let q(n) be the third derivative of 0*n**3 - 1/180*n**6 + 0*n**4 + 0*n**5 - 1/315*n**7 + 0 + 0*n - 2*n**h. Find d, given that q(d) = 0.
-1, 0
Find g, given that 4/7*g**4 - 12/7*g**2 + 10/7*g**3 - 2/7*g**5 + 0 + 0*g = 0.
-2, 0, 1, 3
Let c(h) = 9*h**5 + 46*h**4 - 72*h**3 - 62*h**2 + 71*h - 8. Let m(u) = 3*u**5 + 15*u**4 - 24*u**3 - 21*u**2 + 24*u - 3. Let n(i) = 3*c(i) - 8*m(i). Factor n(o).
3*o*(o - 1)**2*(o + 1)*(o + 7)
Let k(n) be the second derivative of 0*n**3 + 1/9*n**7 + 1/9*n**4 + 0 + 16/45*n**6 + 11/30*n**5 + 0*n**2 + 4*n. Solve k(d) = 0.
-1, -2/7, 0
Let n(j) = 1. Let t(w) = -w - 1. Let z(l) = -2*n(l) - t(l). Let i be z(5). Suppose r**i - r**2 + r**5 - 3*r**3 - r**3 + 3*r**3 = 0. Calculate r.
-1, 0, 1
Let k = -9 - -19/2. Suppose g = -3*t, -g = g. Factor k*v + t + 5/4*v**2.
v*(5*v + 2)/4
Solve 1/4*k**2 + k**4 + 0 + 5/4*k**3 + 0*k = 0.
-1, -1/4, 0
Let l(c) be the third derivative of -2*c**7/735 - c**6/840 + c**5/140 + c**2 + 35. Factor l(u).
-u**2*(u + 1)*(4*u - 3)/7
Let l(x) = x**2 - 13*x + 3. Let b be l(13). Let h(s) be the second derivative of -1/12*s**b + 0*s**2 + s + 0 - 1/24*s**4. Factor h(c).
-c*(c + 1)/2
Determine n so that 10*n - 10*n - 3*n**3 - 6*n**2 = 0.
-2, 0
Let b(o) = o**2 - 4*o - 7. Let a be b(6). Let w(i) = i**2 - 8*i + 4. Let p be w(8). Factor -z**3 + 3*z**4 - 3*z**p + z**a.
z**3*(z - 1)*(z + 1)
Let u(o) be the first derivative of -o**4/8 + o**3/2 - 2*o - 7. Find d such that u(d) = 0.
-1, 2
Let c(u) = -u**4 - 2*u**3 - u**2. Let n(a) = -3*a**3 + 0*a**3 - a**4 + 34*a**2 - 36*a**2. Let t(d) = 4*c(d) - 3*n(d). Suppose t(l) = 0. What is l?
-1, 0, 2
Suppose 0 + 20 = 4*u. Suppose -4*j = u*z - 2, 0*j = -z - j. Let -1/2*g + 0 - 1/2*g**3 + g**z = 0. What is g?
0, 1
Let w be 18/5 - 2/(-5). Suppose -o = w*o. What is q in -1/4*q - 1/4*q**2 + 1/4*q**3 + o + 1/4*q**4 = 0?
-1, 0, 1
Suppose 4*h = -2*w + 12, -5*w + 24 - 5 = -h. Suppose -o - h = -4*b + 1, 0 = 5*b - 5. Solve -3*k**2 - k**o + k**2 - 3*k**3 = 0.
-1, 0
Let i(n) be the first derivative of 2*n**5/15 - 4*n**3/9 + 2*n/3 - 15. Solve i(a) = 0.
-1, 1
Let x be (-43)/265 + 2/10. Let b = 57/106 - x. Solve 1/2*p - b*p**2 + 0 = 0 for p.
0, 1
Let l be 18/(-12)*(-212)/(-18). Let o = l - -18. Let 0 + 0*z**4 + 0*z**2 + 2/3*z**3 - 1/3*z - o*z**5 = 0. What is z?
-1, 0, 1
Let p(d) be the third derivative of 0*d + 0*d**3 - 3/280*d**7 - 1/60*d**5 + 1/40*d**6 + 0*d**4 - 4*d**2 + 0. Let p(r) = 0. Calculate r.
0, 2/3
Suppose 0 = -2*d + 6, 0*c - 4*d + 2 = 5*c. Let r be c + 68/12 + -3. Factor -2/3*y**2 + 0 + 0*y - r*y**4 + 4/3*y**3.
-2*y**2*(y - 1)**2/3
Let g be (-2)/(-4)*7*105/490. Factor -g*o + 9/4 - 1/4*o**3 - 5/4*o**2.
-(o - 1)*(o + 3)**2/4
Suppose 32 = 9*w - w. Let b(l) be the second derivative of 1/42*l**w + 0*l**3 + 0 - l - 1/7*l**2. Solve b(s) = 0 for s.
-1, 1
Let z be (-7)/((-84)/80) - 6. Factor 0*i**2 - 2/3*i**4 + 0*i + 0 + z*i**3.
-2*i**3*(i - 1)/3
Let k(h) be the first derivative of -h**5/50 + h**4/10 - h**3/5 + h**2/5 + h + 1. Let i(u) be the first derivative of k(u). Factor i(w).
-2*(w - 1)**3/5
Let u(p) be the second derivative of -1/270*p**5 - p - 1/108*p**4 + 0 - p**2 + 2/27*p**3. Let z(j) be the first derivative of u(j). Let z(v) = 0. What is v?
-2, 1
Solve -1/7*a**3 + 15/7*a**2 + 125/7 - 75/7*a = 0.
5
Let a(w) be the third derivative of 0*w**5 + 0*w**3 - 1/112*w**8 + 0*w**4 + 1/40*w**6 + 0*w + 0*w**7 + 0 + 3*w**2. Solve a(h) = 0.
-1, 0, 1
Let m(r) be the first derivative of -r**4/4 + r**3 + r**2 - 2*r - 3. Let y(b) = -b**3 + b**2 + b - 1. Let o(t) = m(t) - 2*y(t). Factor o(f).
f**2*(f + 1)
Factor 1 + 1/2*u**3 - 1/2*u - u**2.
(u - 2)*(u - 1)*(u + 1)/2
Let i be -2*(-95)/10 - -4. Suppose -18*m = -i*m. Factor 0 - 4/3*t**5 + 0*t**2 + m*t + 0*t**3 - 1/3*t**4.
-t**4*(4*t + 1)/3
Let n(k) be the second derivative of k**7/2520 + k**6/360 + k**5/120 + 7*k**4/12 - 6*k. Let r(f) be the third derivative of n(f). Factor r(z).
(z + 1)**2
Let m be (-43)/(-602)*(4 - (1 + 1)). Let 0 + 1/7*i - m*i**3 + 0*i**2 = 0. What is i?
-1, 0, 1
Factor 6*v + 3 - 2*v**2 + 3 - 2*v.
-2*(v - 3)*(v + 1)
Let d(m) be the first derivative of m**5/270 - m**4/36 + 2*m**3/27 + 2*m**2 - 1. Let c(q) be the second derivative of d(q). Suppose c(x) = 0. Calculate x.
1, 2
Let g(a) be the second derivative of a**5/90 + a**4/54 - 8*a. Let g(d) = 0. What is d?
-1, 0
Let y = 488/9 + -54. Factor -32/9 + 16/9*i - y*i**2.
-2*(i - 4)**2/9
Let k be (-8)/(-10)*1/2. Find v such that -2/5*v**4 + 2/5*v**2 - 2/5*v + 0 + k*v**3 = 0.
-1, 0, 1
Let a(q) be the second derivative of q**6/90 - q**5/12 + q**4/12 + 5*q**3/18 - 2*q**2/3 + 42*q. Factor a(y).
(y - 4)*(y - 1)**2*(y + 1)/3
Let k be 3 + (1 - 1)/(-2). Let s(x) be the first derivative of -k + 1/12*x**3 - 1/2*x - 1/8*x**2. Factor s(h).
(h - 2)*(h + 1)/4
Let t = 13/33 + 3/11. Let h(x) be the second derivative of -t*x**3 + 0 - x - 3/2*x**4 - 7/10*x**5 + 0*x**2. Solve h(u) = 0 for u.
-1, -2/7, 0
Let 11*r + 2*r**3 - 26*r + 13*r + 1 - r**4 = 0. Calculate r.
-1, 1
Let p(v) be the second derivative of -v**4/12 + v**3 - 2*v**2 + 5*v. Let s(m) = 3*m**2 - 23*m + 16. Let a = 1 - 19. Let i(h) = a*p(h) - 4*s(h). Factor i(u).
2*(u - 2)*(3*u - 2)
Suppose 1 = 3*b - 5. Let h(i) be the first derivative of 2/27*i**3 + 1/18*i**4 - 1/27*i**6 - 2/45*i**5 + 0*i**b - 2 + 0*i. Factor h(s).
-2*s**2*(s - 1)*(s + 1)**2/9
Let m be (-2)/3 + 26/(-6). Let n = -3 - m. Find f such that 3*f**2 - f**4 - 2*f**2 + n*f**3 - 2*f**2 = 0.
0, 1
Let f(w) = -w**5 - w**4 + w**2 + 1. Let a(v) = v**5 + 18*v**4 - 23*v**3 + 12*v**2 - 4*v - 4. Let q(d) = -a(d) - 4*f(d). Let q(b) = 0. Calculate b.
0, 2/3, 1, 2
Let z(m) be the first derivative of -m**7/28 + 3*m**5/20 - m**3/4 + 2*m + 5. Let r(v) be the first derivative of z(v). Factor r(l).
-3*l*(l - 1)**2*(l + 1)**2/2
Determine y so that 2/7*y**2 - 8/7 - 6/7*y = 0.
-1, 4
Let c(u) = -3*u**2 - 14*u - 3. Let j(g) = -g**2 - 5*g - 1. Suppose 0 = -4*r - m - 11, r + 13 = -2*r + 4*m. Let l(v) = r*c(v) + 8*j(v). Factor l(s).
(s + 1)**2
Suppose 5*z = -4*n + 2*n + 23, -z = -1. Suppose 3*w + 0 = n. Factor -4/3 + 2/3*m + 4/3*m**2 - 2/3*m**w.
-2*(m - 2)*(m - 1)*(m + 1)/3
Let h be (-6)/15 - 12/(-5). Suppose h*w - 7*w + 40 = 0. Factor -20*f**2 + w*f**3 - 32*f**4 + 65*f**3 + 4*f - 14*f**2 + 7*f**3.
-2*f*(f - 2)*(4*f - 1)**2
Let u(d) be the third derivative of -d**7/490 + 11*d**6/280 - 6*d**5/35 - 9*d**4/14 - 10*d**2 - 3*d. Factor u(n).
-3*n*(n - 6)**2*(n + 1)/7
Let j(k) be the first derivative of -k**6/30 + 4*k**5/25 - k**4/4 + 2*k**3/15 + 22. Find t, given that j(t) = 0.
0, 1, 2
Let y(b) be the first derivative of b**3/12 + 5*b**2/8 + 3*b/2 - 31. Factor y(v).
(v + 2)*(v + 3)/4
Let g(n) be the first derivative of n**7/84 + n**6/30 - n**4/12 - n**3/12 - n + 4. Let a(x) be the first derivative of g(x). Factor a(d).
d*(d - 1)*(d + 1)**3/2
Let z(y) = y**3 + 1. Let f(t) = -3*t**3 - t**2 + 2*t - 2. Let h(m) = f(m) + 2*z(m). Suppose h(o) = 0. What is o?
-2, 0, 1
Let q(d) be the first derivative of -d**6/12 - 2*d**5/5 - 5*d**4/8 - d**3/3 - 12. Determine b so that q(b) = 0.
-2, -1, 0
Let k(z) be the third derivative of -z**5/510 + z**4/68 + 4*z**3/51 - 24*z**2. Suppose k(j) = 0. What is j?
-1, 4
Let o be 2*1/(6/(-9)). Let q be (o/(-1) + -11)/(-2). Let -14/3*i**q + 10/3*i**3 - 4/3 + 6*i**2 - 10/3*i = 0. Calculate i.
-1, -2/7, 1
Suppose 5*t = 3*t + 8. Let -t*i**4 + 3*i**4 + 2*i**3 + i**4 + 2*i**2 - 2*i**4 - 2*i = 0. What is i?
-1, 0, 1
Let w = 32 + -32. Let m(p) be the first derivative of 4/3*p**6 + 0*p**2 - 14/5*p**5 + w*p - p**4 + 2 + 0*p**3. Factor m(c).
2*c**3*(c - 2)*(4*c + 1)
Let g(r) be the first derivative of 0*r + 4/3*r**3 + 2/5*r**5 + 0*r**2 