 1777861/630. Let c(r) be the third derivative of 0*r - 1/36*r**4 + 0*r**5 + 1/18*r**3 - l*r**7 + 0 + 1/180*r**6 - 2*r**2. Factor c(q).
-(q - 1)**3*(q + 1)/3
Let -3*a**5 + 4*a**4 - 2*a**4 - 5*a**4 + 3*a**2 + 3*a**3 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let y = 3 - 0. What is p in 4 + 12 + 9*p**4 + 88*p**2 - 48*p**y + 31*p - 95*p = 0?
2/3, 2
Let a(t) = -7*t**5 + t**4 - 3*t**3 - 7*t**2 + 4*t - 6. Let q(j) = 20*j**5 - 3*j**4 + 8*j**3 + 20*j**2 - 11*j + 17. Let u(b) = -17*a(b) - 6*q(b). Factor u(z).
-z*(z - 2)*(z - 1)*(z + 1)**2
Let s(v) = -2*v - 6. Let c be s(-4). Suppose 0*o**3 - o**4 - o**3 - o**2 + 2*o**c + o = 0. What is o?
-1, 0, 1
Let q(w) = 9*w**5 - 13*w**4 - 11*w**3 + 12*w**2 - 5*w - 13. Let s(h) = 4*h**5 - 6*h**4 - 5*h**3 + 6*h**2 - 2*h - 6. Let g(t) = -3*q(t) + 7*s(t). Factor g(o).
(o - 3)*(o - 1)**2*(o + 1)**2
Let t(z) = -4*z**3 + 34*z**2 - 54*z + 25. Let q(m) = -m**3 + m**2 - m. Let d(r) = q(r) + t(r). Solve d(f) = 0.
1, 5
Let z be 1 + -2 - (-10)/2. Solve -4*j**3 - 15/2*j**2 + z*j + 8*j**4 - 1/2 = 0 for j.
-1, 1/4, 1
Let z(a) be the first derivative of a**2 + 1/10*a**5 + a**3 + 1/2*a**4 + a + 2. Let o(i) be the first derivative of z(i). Factor o(f).
2*(f + 1)**3
Let c(n) = n**2 + n. Let z be 6*(3 - (-40)/(-12)). Let p be c(z). Find a, given that -3/2*a**p + 0 + 1/2*a**3 + a = 0.
0, 1, 2
Let f be 24/14*(-21)/(-6). Suppose -2*i**2 - f*i + i**2 - 2*i**2 = 0. Calculate i.
-2, 0
Let z be ((-21)/(-12) - 2)/(3/(-8)). Factor 2/3*k**2 + 0 - z*k.
2*k*(k - 1)/3
Let g(m) be the first derivative of -m**6/18 - m**5/15 + m**4/12 + m**3/9 - 7. Find w, given that g(w) = 0.
-1, 0, 1
Suppose -2/5*b**2 + 4/5 - 2/5*b = 0. Calculate b.
-2, 1
Suppose -18 = -2*j - 6. Let f(w) be the second derivative of -2*w - 1/24*w**3 + 0*w**2 - 1/24*w**4 + 0*w**5 + 0 + 1/168*w**7 + 1/60*w**j. Factor f(s).
s*(s - 1)*(s + 1)**3/4
Let g(n) be the second derivative of 0*n**2 + 1/110*n**5 + 5*n + 1/66*n**4 + 0 + 0*n**3. Factor g(c).
2*c**2*(c + 1)/11
Let w = 1 - -1. Suppose 2*q**5 + w*q**3 - 14*q**2 + 6*q**4 - 2*q**3 + 5 + 3 - 2*q**3 = 0. Calculate q.
-2, -1, 1
Let f(j) be the third derivative of j**9/11200 - j**8/2240 + j**7/1200 - j**6/1200 + j**5/60 - 4*j**2. Let h(c) be the third derivative of f(c). Factor h(a).
3*(a - 1)*(3*a - 1)**2/5
Let f = 605 + -601. Determine v, given that 8/5*v**3 + 12/5*v**5 - 8/5*v + 6*v**2 - 8/5 - 34/5*v**f = 0.
-2/3, -1/2, 1, 2
Let u be 6/(-10) + 1 + (-189)/735. Factor 0 + 2/7*v - 1/7*v**3 + u*v**2.
-v*(v - 2)*(v + 1)/7
Let -1/3 - 1/3*i**2 - 2/3*i = 0. What is i?
-1
Let j(b) be the first derivative of -b**3 + 3*b**2 - 3*b - 1. Factor j(q).
-3*(q - 1)**2
Let y(o) = 8*o**3 + 24*o**2. Let w(u) = u**3 - 6*u**2 - 6*u**3 + 3*u**3. Let z(s) = -26*w(s) - 6*y(s). Determine k so that z(k) = 0.
-3, 0
Let m = 749/3 - 249. Factor -8/9 + m*g**2 + 0*g - 2/9*g**3.
-2*(g - 2)**2*(g + 1)/9
Let f(r) be the third derivative of r**6/54 - 32*r**5/135 + 19*r**4/18 - 4*r**3/3 - 18*r**2. What is q in f(q) = 0?
2/5, 3
Let k = -502 + 505. Factor 0*i**2 + 2/11*i**k - 2/11*i + 0.
2*i*(i - 1)*(i + 1)/11
Let d(p) = 6*p**3 + 2*p**2 - 4*p. Let i(h) = -5*h**3 - 2*h**2 + 3*h. Let w(g) = 3*d(g) + 4*i(g). Let w(r) = 0. What is r?
-1, 0
Let u be (-32)/(-30) - (-10)/(-25). Let a be ((-8)/(-6))/(4/6) + 2. Determine z, given that 0 + u*z**a + 2/3*z**3 + 2/9*z**2 + 2/9*z**5 + 0*z = 0.
-1, 0
Let o(w) be the first derivative of 3*w**5/5 + 3*w**4/2 - 3*w**3 - 12*w**2 - 12*w - 4. Factor o(a).
3*(a - 2)*(a + 1)**2*(a + 2)
Suppose 2*y = 2*y - 4*y. Let s(g) be the third derivative of -3/8*g**4 + 1/20*g**5 + 5*g**2 + y + 0*g + g**3. Factor s(b).
3*(b - 2)*(b - 1)
Let i(l) = -3*l**2 + 3*l - 2. Let s(v) = v**2 + v. Let u(a) = -i(a) - s(a). Factor u(t).
2*(t - 1)**2
Let n(b) = b**3 + b**2 + 2. Let q be n(0). Suppose -z = -q*z. Let 2/3*a**3 - 2/3*a**4 + 0*a**2 + z*a + 0 = 0. What is a?
0, 1
Let t(i) be the second derivative of -i**6/1260 - i**5/210 - 5*i**3/6 - 8*i. Let c(h) be the second derivative of t(h). Factor c(l).
-2*l*(l + 2)/7
Suppose 0 = h - 2 + 7. Let w(o) = -o**2 - 4*o + 5. Let u be w(h). Determine d, given that 0 + 1/2*d**3 + u*d**2 - 1/2*d = 0.
-1, 0, 1
Let n(w) be the third derivative of -w**5/105 - w**4/21 - 2*w**3/21 + 22*w**2. Factor n(u).
-4*(u + 1)**2/7
Let d**2 + 3*d - 2*d**2 + 3*d**2 + d**2 = 0. Calculate d.
-1, 0
Let m(y) be the first derivative of 2*y**3/27 + 2*y**2/9 + 2*y/9 + 1. Factor m(n).
2*(n + 1)**2/9
Let k(d) be the second derivative of -d**6/10 - 9*d**5/40 - d**4/8 + 6*d. Determine m, given that k(m) = 0.
-1, -1/2, 0
Suppose 0 = -2*o - 2*o. Let h(i) = -i**2 + 6*i - 6. Let s be h(4). Solve 0 + o - y**4 + y**s = 0 for y.
-1, 0, 1
Suppose -4*w = -2*r - 6, r + 3*r + 2*w = 18. Let o(q) be the second derivative of 0 - q**2 - 1/6*q**4 + 2/3*q**3 - r*q. Factor o(k).
-2*(k - 1)**2
Let s(w) be the second derivative of 2*w - 1/84*w**4 + 0 + 1/14*w**2 + 1/42*w**3 - 1/140*w**5. Factor s(m).
-(m - 1)*(m + 1)**2/7
Suppose 0 = -m + 7*a - 2*a + 25, 4*m - 2*a = 10. Factor -12*k + 4 - k - 13*k**2 + 25*k**5 + k + m*k - 75*k**4 + 71*k**3.
(k - 1)**3*(5*k - 2)*(5*k + 2)
Find n, given that 37*n**5 - 77*n**5 + 37*n**5 + 3*n**4 = 0.
0, 1
Let b(j) be the third derivative of 1/30*j**5 + 0*j**4 + 0*j - 1/210*j**7 - 1/6*j**3 + 2*j**2 + 0*j**6 + 0. Factor b(w).
-(w - 1)**2*(w + 1)**2
Let a(b) be the second derivative of -5*b - 1/8*b**3 + 0*b**4 + 1/4*b**2 + 0 + 1/80*b**5. Find o, given that a(o) = 0.
-2, 1
What is u in 5/2*u**4 + 1/2*u**2 + u + 0 - 4*u**3 = 0?
-2/5, 0, 1
Let k = 5 - 7. Let w be -1 - (0 - (1 - k)). Factor 3*z**w - 4*z + 6*z - 1 - 4*z**2.
-(z - 1)**2
Let y be (-20)/(-80) + 46/72. Factor -y - 10/9*o**2 - 8/3*o.
-2*(o + 2)*(5*o + 2)/9
Let s = 438 + -3060/7. Factor -s*d + 0 + 2/7*d**2.
2*d*(d - 3)/7
Let h(c) = c. Let t be h(5). Factor j - 1 + 4*j**4 + j**5 + 3*j**2 - 2*j**3 - t*j**4 - j**2.
(j - 1)**3*(j + 1)**2
Let p(h) be the third derivative of h**6/420 - h**5/210 - h**2. Suppose p(g) = 0. What is g?
0, 1
Suppose 0 = 3*h - 0*h. Let i = 3 - h. Factor -1/4*g**i + 1/4 + 1/4*g - 1/4*g**2.
-(g - 1)*(g + 1)**2/4
Let h be 17/6 - (-4)/24. Determine u, given that 3*u**5 - 2*u - 21*u**3 - 5*u**5 + 25*u**h = 0.
-1, 0, 1
Let a(p) be the second derivative of p**7/126 + p**6/90 - p**5/30 - p**4/18 + p**3/18 + p**2/6 + p. Suppose a(b) = 0. Calculate b.
-1, 1
Let x be 5*1 + 4/4. Suppose 5*c - x = z + z, 0 = -3*c - 2*z + 10. Suppose c*j**2 + 3*j**3 + 2*j**2 + 2*j**4 - j**5 - 4*j**4 - 4*j = 0. Calculate j.
-2, 0, 1
Let u(f) be the first derivative of 20*f**3/3 - 65*f**2/2 + 15*f - 7. Factor u(y).
5*(y - 3)*(4*y - 1)
Let w be 170/240 + 6/(-16). Factor -w*m - 1/3*m**2 + 0.
-m*(m + 1)/3
Let d = 112 - 223/2. Let x(p) be the first derivative of -1/4*p**4 - 1 - 1/20*p**5 - d*p**2 - 1/2*p**3 - 1/4*p. Find u such that x(u) = 0.
-1
Suppose 0 = -7*s + 49*s - 84. Factor -1/4*t**s - 1/2*t - 1/4.
-(t + 1)**2/4
Let w(d) be the first derivative of -3 + 0*d**3 + 0*d - 1/6*d**6 + 0*d**2 - 1/6*d**4 - 7/15*d**5. Suppose w(n) = 0. What is n?
-2, -1/3, 0
Let m(o) = 35*o - 770. Let d be m(22). Factor 0*f - 1/9*f**5 - 5/9*f**4 - 1/3*f**2 + d - 7/9*f**3.
-f**2*(f + 1)**2*(f + 3)/9
Let l(i) be the second derivative of -i**6/360 + i**5/120 + i**4/12 + i**3 - 5*i. Let j(d) be the second derivative of l(d). Determine y, given that j(y) = 0.
-1, 2
Let n be ((-5 + -7)/(-6))/10. Factor n*x**3 + 1/5*x - 2/5*x**2 + 0.
x*(x - 1)**2/5
Let g(b) be the second derivative of b**6/15 - 7*b**5/20 + b**4/2 + b**3/6 - b**2 - 27*b. What is p in g(p) = 0?
-1/2, 1, 2
Let d(m) be the first derivative of -5/12*m**3 - 1 - 3/16*m**4 + 1/4*m**5 + 0*m + 1/6*m**6 - 1/8*m**2. Solve d(p) = 0 for p.
-1, -1/4, 0, 1
Let n(s) be the third derivative of s**5/120 - 5*s**2. Factor n(k).
k**2/2
Let k = -7919/168 - -332/7. Let y(b) be the first derivative of -8/9*b**3 - 1/3*b + k*b**4 + 2 + 11/12*b**2. Factor y(o).
(o - 1)**2*(7*o - 2)/6
Suppose 0*v + 0 + v**2 + 1/2*v**3 - v**4 - 1/2*v**5 = 0. Calculate v.
-2, -1, 0, 1
Let j(k) = -2*k + 11. Let d be j(4). Let -8*h**2 + 22*h**3 + 4*h - 5*h**d - 7*h**3 - 6*h**3 = 0. What is h?
0, 1
Let 2/5*h**5 - 4/5 + 6/5*h - 8/5*h**3 + 4/5*h**2 + 0*h**4 = 0. Calculate h.
-2, -1, 1
Let j(g) = g**3 + g**2 - g. Let f(h) = -3*h**3 - h**2 + 6*h - 4. Let d(v) = f(v) + 2*j(v). Factor d(u).
-(u - 2)*(u - 1)*(u + 2)
Let o(x) = -23*x