2, 0, 2
Let r(j) be the second derivative of 0*j**2 - 1/5*j**5 + 3*j**4 + 2 - 28/3*j**3 + 99*j. Factor r(i).
-4*i*(i - 7)*(i - 2)
Let n(z) be the first derivative of 0*z**3 + 26*z + 1/120*z**6 + 24 + 0*z**4 + 0*z**2 - 1/80*z**5. Let i(x) be the first derivative of n(x). Factor i(t).
t**3*(t - 1)/4
Let y be 0/((-12)/(-192)*-16). Suppose y*u**3 + 0*u + 1/4*u**4 - 1/2*u**2 + 1/4 = 0. What is u?
-1, 1
Factor -364833*w**2 + 720 + 3*w**4 - 67*w**3 + 19*w**3 - 744*w + 365118*w**2.
3*(w - 5)*(w - 4)**2*(w - 3)
Let p(a) be the first derivative of 29 - 83/10*a**2 - 34/5*a + 1/3*a**3. Determine s so that p(s) = 0.
-2/5, 17
Let d be 45 - 35 - ((-15444)/48)/(-39). Factor -d*g**2 + 13/4*g + 1/2.
-(g - 2)*(7*g + 1)/4
Let z(i) be the first derivative of i**6/50 + 3*i**5/25 + 38*i - 1. Let a(v) be the first derivative of z(v). Factor a(c).
3*c**3*(c + 4)/5
Suppose -3*u = -6*u + 120. Determine r so that 15*r + 4*r**3 + u*r**2 + 31*r + 28*r - 6*r + 32 = 0.
-8, -1
Let r(u) = u**2 + 74*u - 2. Let l(x) = x**2 + 19*x + 2. Let v(d) = 6*l(d) - 2*r(d). Factor v(y).
2*(y - 8)*(2*y - 1)
Let g(d) be the first derivative of d**4/4 - 2*d**3/3 - 9*d**2/2 + 18*d - 297. Factor g(y).
(y - 3)*(y - 2)*(y + 3)
Let j(d) be the third derivative of -d**8/336 - 3*d**7/70 + d**2 - 151. Find g, given that j(g) = 0.
-9, 0
Suppose 4*s - 195 = -5*q, s - 25 = -q + 3*s. Suppose q = 6*j + 11. Find c such that 10*c**2 + 28*c**3 + 37*c**3 + 16*c**j + 39*c**4 = 0.
-1, -2/11, 0
Let j = 38/65 - -1/65. Let h be 864/45 + -8 - 8 - 3. What is p in -h*p - j*p**4 + 3/5*p**2 - 4/5*p**5 + 0 + p**3 = 0?
-1, 0, 1/4, 1
Let h(k) = -170*k**3 + 4*k**2 + 174*k + 2. Let q(w) = -w**4 - 169*w**3 + 7*w**2 + 175*w + 3. Let d(x) = 3*h(x) - 2*q(x). Suppose d(l) = 0. Calculate l.
-1, 0, 1, 86
Let o = 926248/55575 - -2/55575. Factor -o + 5*v + 5/3*v**2.
5*(v - 2)*(v + 5)/3
Let r(f) be the first derivative of -f**5/90 + f**4/9 - 4*f**3/9 + 53*f**2/2 + 49. Let y(u) be the second derivative of r(u). Factor y(w).
-2*(w - 2)**2/3
Let t(b) = -2*b**3 + 25*b**2 - 2529*b + 30204. Let v be t(12). Factor 2/7*p**3 + 48/7*p**2 + v + 2/7*p**5 + 32/7*p - 12/7*p**4.
2*p*(p - 4)**2*(p + 1)**2/7
Suppose 139 = j - 39. Suppose 0 = -j*f + 170*f. Determine c, given that 2/11*c**4 + 0*c - 2/11*c**2 - 2/11*c**5 + 2/11*c**3 + f = 0.
-1, 0, 1
Suppose -654 = -43*c - 3965. Let u be c/(-308)*8/6. Find i, given that -1/3*i**4 - 2/3 - u*i + i**2 + 1/3*i**3 = 0.
-1, 1, 2
Let j(n) = -7*n**2 - 3*n - 2. Suppose -5 = 5*i, -4*i - 7 + 15 = 4*k. Suppose -k*w + 9 = 6*w. Let y(u) = -u**2 - u - 1. Let t(v) = w*j(v) - 6*y(v). Factor t(c).
-(c - 4)*(c + 1)
Let a = -5591 - -8282. Find m such that 9946*m + 1229 - 10226*m + a + 5*m**2 = 0.
28
Factor -248/9*z**2 - 244/9*z - 4/9*z**3 + 0.
-4*z*(z + 1)*(z + 61)/9
Suppose 3*d - 2*d = 2. Suppose 5*r + 2*a + 23 = 10*r, 4*r - 20 = d*a. Factor 1/4*l**5 + 0 + 1/4*l**r + 1/2*l**4 + 0*l + 0*l**2.
l**3*(l + 1)**2/4
Let b(x) be the second derivative of 15*x**2 + 3/4*x**5 - 65/6*x**3 - 20/3*x**4 - 152*x + 0. What is j in b(j) = 0?
-1, 1/3, 6
Let s(g) = 33*g**2 + 23034*g + 72. Let o(t) = 15*t**2 + 10470*t + 33. Let u(w) = -24*o(w) + 11*s(w). Factor u(y).
3*y*(y + 698)
Let k(d) = d**3 - 2*d**2 + 17*d + 11. Let c(i) = 2*i**2 - 14*i - 10. Suppose -12 = -6*q, 2*v + 7*q = 2*q + 16. Let j(u) = v*c(u) + 2*k(u). Factor j(t).
2*(t - 2)*(t + 1)*(t + 2)
Let s = -23 - -25. Suppose -2*l - 17 - 7 = -s*y, l + 54 = 4*y. Determine i so that -7*i**3 - 5*i**5 - y*i**3 + 2*i**5 + 27*i**3 - 3*i = 0.
-1, 0, 1
Let b(i) be the third derivative of 1/540*i**6 - 1/108*i**4 + 20*i**2 + 22/27*i**3 - 11/135*i**5 - i + 0. Factor b(h).
2*(h - 22)*(h - 1)*(h + 1)/9
Factor -83/5 + 167/10*t - 1/10*t**2.
-(t - 166)*(t - 1)/10
Let f(k) = -k**2 - k - 2. Let h(x) = -x**2 + 4*x + 13. Let q(i) = 6*i - 2. Let b be q(1). Let g(t) = b*f(t) + h(t). Factor g(w).
-5*(w - 1)*(w + 1)
Let x(n) = -2*n**3 - 512*n**2 + 166*n. Let v(p) = -8*p**3 - 2559*p**2 + 827*p. Let r(w) = 4*v(w) - 22*x(w). Factor r(s).
4*s*(s + 86)*(3*s - 1)
Factor 20/7 + 846/7*g**2 + 958/7*g.
2*(9*g + 10)*(47*g + 1)/7
Let b be 5/(-30)*10/(-12) - 80/(-720). Factor -2 - 7/4*n**2 + 7/2*n + b*n**3.
(n - 4)*(n - 2)*(n - 1)/4
Let m(d) be the first derivative of 35*d**4 + 248*d**3/3 + 38*d**2 - 32*d + 783. Factor m(r).
4*(r + 1)**2*(35*r - 8)
Suppose -3*n + 17 - 8 = 0. Let b(o) be the first derivative of -o**4 - 13 + 4*o + 3*o**3 - o**3 + 2*o**n - 6*o**2. Suppose b(l) = 0. Calculate l.
1
Let k = -202/5 + 42. Suppose 184*w - 313*w - 544*w - 325*w = 206*w. Suppose k*s**3 - 2/5*s + w + 6/5*s**2 = 0. What is s?
-1, 0, 1/4
Let q(l) be the second derivative of -37*l**5/60 + 2*l**4 + 115*l**3/18 + l**2 + 732*l. Factor q(g).
-(g - 3)*(g + 1)*(37*g + 2)/3
Let h(m) = 87*m**4 + 502*m**3 + 838*m**2 + 172*m + 9. Let l(n) = -438*n**4 - 2509*n**3 - 4190*n**2 - 862*n - 45. Let d(u) = -11*h(u) - 2*l(u). Factor d(o).
-(o + 3)**2*(9*o + 1)**2
Let l(s) = -13*s**2 - 713*s + 77613. Let a(m) = 3*m**2 - 15*m + 1. Let r(x) = 5*a(x) + l(x). Factor r(i).
2*(i - 197)**2
Let p(l) = -49*l - 1715. Let a be p(-35). Let d(k) be the second derivative of 5/4*k**4 - 18*k + 1/6*k**3 - k**2 + a. Let d(g) = 0. Calculate g.
-2/5, 1/3
Let b(z) = -18*z**4 - 10*z**3 + 65*z**2 - 28*z - 9. Let r(t) = t**4 - 2*t**2 + 1. Let n(m) = 4*b(m) + 36*r(m). Find g such that n(g) = 0.
-28/9, 0, 1
Let n be 9 - (-1*(-1)/4)/(171/4788). Determine u, given that 1/4*u**5 + 0*u**3 + 1/2*u**n + 0 - 1/4*u - 1/2*u**4 = 0.
-1, 0, 1
Let d(f) = -2*f**3 - 11*f**2 - f + 6. Let o be d(-6). Suppose -21*j = -45*j + o. Factor 1/2 - 3/4*a - 1/2*a**j + 3/4*a**3.
(a - 1)*(a + 1)*(3*a - 2)/4
Suppose d = -3*d + 2*u + 84, -d - u = -21. Suppose -3*b + d = 6. Factor 33*f**4 - 46*f**3 - 6*f - 3*f - 9*f**b - 35 + 36 + 35*f**2 - 5*f**2.
-(f - 1)**3*(3*f - 1)**2
Let m = 646 - 640. Let o be (-4)/m*5/40*-4. Suppose -1/3*i**3 - 4/3*i**2 + o*i + 4/3*i**4 + 0 = 0. What is i?
-1, 0, 1/4, 1
Let v = 257 - 1796/7. Let a be ((-21)/(-14))/(21/6)*6. Factor v*r**2 + 24/7 - a*r.
3*(r - 4)*(r - 2)/7
Suppose -22*p + 27266 = 27112. Let r(a) be the second derivative of 0*a**2 + a**4 + 1/14*a**p + 2*a**3 - 9/20*a**5 + 23*a + 0 - 1/5*a**6. Factor r(s).
3*s*(s - 2)**2*(s + 1)**2
Determine t so that 8621 - 27112 - 19978*t**2 + t**5 + 30215*t + 638*t**3 + 7546*t + 69*t**4 = 0.
-41, 1, 11
Let f be (-16338)/308 - 42/(-77). Let g = f - -743/14. Factor -g*w**2 + 12/7 - 2/7*w**3 + 10/7*w.
-2*(w - 2)*(w + 1)*(w + 3)/7
Suppose 5*x + 3*b - 149 = 0, -7*b + 6*b + 153 = 5*x. Suppose -x = -6*d - 1. Solve 0*p + 2/19*p**d - 2/19*p**2 - 2/19*p**3 + 2/19*p**4 + 0 = 0.
-1, 0, 1
Factor -156*s**2 - 6200*s - 432*s - 2748964 + 311*s**2 - 159*s**2.
-4*(s + 829)**2
Let g(o) be the first derivative of -160*o**5/9 - 20*o**4/3 - o**3 + 131*o**2/2 + 140. Let p(h) be the second derivative of g(h). What is w in p(w) = 0?
-3/40
Let v = 142 + -139. Factor j**4 - 2*j - 2*j + 2*j**2 + 4*j**v - 9411 + 9408.
(j - 1)*(j + 1)**2*(j + 3)
Let b = 1297937/45 - 28843. Let d(w) be the first derivative of 8*w - 28/3*w**2 + b*w**5 - 7/9*w**4 + 26 + 122/27*w**3. Solve d(q) = 0 for q.
1, 6
Let i(g) be the first derivative of 0*g + 5/3*g**2 - 2/3*g**3 + 66. Solve i(c) = 0 for c.
0, 5/3
Let c(a) be the first derivative of 2/15*a**3 + 10 + 1/30*a**6 - 4/5*a + 2/25*a**5 + 7/10*a**2 - 2/5*a**4. Factor c(n).
(n - 1)**3*(n + 1)*(n + 4)/5
Factor 24 + 17*p + 11/4*p**2.
(p + 4)*(11*p + 24)/4
Let y = 1694 - 1694. Let k(t) be the third derivative of 1/180*t**6 + 0 - 21*t**2 + 0*t**3 + 1/315*t**7 + y*t**4 - 1/504*t**8 + 0*t - 1/90*t**5. Factor k(b).
-2*b**2*(b - 1)**2*(b + 1)/3
Let u(z) = z**3 + 7*z**2 + z + 10. Let w be u(-7). Suppose 0 = w*q - 6 - 9. Find s, given that -s + s**2 + q - 3*s - 2*s = 0.
1, 5
Factor 82134 - 702*w + 3/2*w**2.
3*(w - 234)**2/2
Let g(p) = -10*p**3 + 3*p - 2*p**2 + 28*p**3 - 15*p**3. Let t(a) = -5*a**3 + 4*a**2 - 5*a. Let d(s) = 7*g(s) + 4*t(s). Let d(u) = 0. What is u?
-1, 0
Let r(y) be the second derivative of y**7/2520 + y**6/90 - 5*y**3/6 + y**2 + 19*y. Let g(q) be the second derivative of r(q). Find j, given that g(j) = 0.
-12, 0
Let g(c) be the first derivative of 1/10*c**5 - 1/3*c**3 + 5 + 8*c + 1/2*c**4 - 3*c**2. Let r(f) be the first derivative of g(f). Factor r(s).
2*(s - 1)*(s + 1)*(s + 3)
Let k(d) = d - 2. Let w be k(9). Let m = 63 + -61. Wh