 - 34*m**2 - 133*m - 112. Let p(g) = -8*o(g) + 5*w(g). Factor p(n).
2*(n + 2)**2*(n + 7)
Let q be (-1)/(-4) - (9/12)/3. Let a(f) be the first derivative of 1/24*f**6 + q*f**2 + 0*f**3 + 0*f - 1/16*f**4 - 3 + 0*f**5. Factor a(w).
w**3*(w - 1)*(w + 1)/4
Let p(m) be the first derivative of -m**5/10 + 17*m**4/16 - 10*m**3/3 + 2*m**2 - 292. Find v, given that p(v) = 0.
0, 1/2, 4
Factor -2/3*d**3 + 1/3*d**4 + 1/3 + 1/3*d + 1/3*d**5 - 2/3*d**2.
(d - 1)**2*(d + 1)**3/3
Let b(h) = 5*h**3 - 7*h**2 - 7*h + 7. Let u(o) = 3*o**3 - 3*o**2 - 4*o + 4. Suppose 13*i - 5*i = -32. Let n(z) = i*b(z) + 7*u(z). Factor n(l).
l**2*(l + 7)
Let d(o) be the second derivative of o**5/140 + 19*o**4/42 - 106*o. Find z, given that d(z) = 0.
-38, 0
Let o(n) be the second derivative of -n**4/18 + 8*n**3/9 - 5*n**2 - 5*n - 3. Determine t so that o(t) = 0.
3, 5
Let p = 835 - 832. Let y(c) be the third derivative of -1/3*c**4 + 0 + p*c**2 + 0*c - 1/10*c**5 - 1/3*c**3. Determine j so that y(j) = 0.
-1, -1/3
Let z(d) = -d**3 + 8*d**2 + d - 6. Suppose -3*x - 19 = -5*x + u, -u = 5*x - 37. Let a be z(x). Factor -p**4 - a*p**2 + p + 2*p**5 - 3*p**5 + 3*p**4.
-p*(p - 1)**3*(p + 1)
Solve -12*f - 14*f**2 + 3*f**4 - 759 - 4*f**2 + 12*f**3 + 774 = 0 for f.
-5, -1, 1
Let p(y) = -6*y**2 - 506*y. Let k(f) = f**2 + 83*f. Let d(h) = -34*k(h) - 6*p(h). Factor d(s).
2*s*(s + 107)
Let c(q) be the first derivative of 1/9*q**4 + 2/27*q**6 + 8/45*q**5 + 0*q**3 + 0*q**2 + 21 + 0*q. Let c(x) = 0. What is x?
-1, 0
Let s(j) be the second derivative of -1/15*j**6 + 0 - 1/10*j**5 - 18*j + 1/21*j**7 + 0*j**3 + 0*j**2 + 1/6*j**4. Factor s(o).
2*o**2*(o - 1)**2*(o + 1)
Let g(l) be the first derivative of -l**3/3 + 7*l**2/2 + 44*l + 643. Determine y so that g(y) = 0.
-4, 11
Suppose 0 = -2*q + 3*q - g - 2, 0 = q - 2*g - 1. Suppose 4*p - 13 = -q*k - 4, 5*k - 15 = -p. Suppose -2*b**3 + 4/5*b + 6/5*b**2 + p = 0. Calculate b.
-2/5, 0, 1
Let k(a) = -2405*a - 14414. Let s be k(-6). Factor 0 + s*x + 9/2*x**4 + 36*x**2 + 1/4*x**5 + 97/4*x**3.
x*(x + 1)**2*(x + 8)**2/4
Suppose -5*m = 5*u - 220, 0*m = -4*m + 4*u + 160. Let 3*r + m - 47 + 7*r - 5*r**2 = 0. What is r?
1
Let f(o) be the third derivative of 1/60*o**5 - 7*o**2 + 1/24*o**4 + 1/360*o**6 + 1/18*o**3 + 0*o + 0. Determine h so that f(h) = 0.
-1
Suppose 101*w - 229*w + 56 = -100*w. Let -4/7*y**4 + 20/7*y**w - 20/7*y**3 + 16/7*y - 16/7 + 4/7*y**5 = 0. What is y?
-2, -1, 1, 2
Determine n so that -1/4*n**4 + 0 - 1/8*n**5 + 0*n + 0*n**2 + n**3 = 0.
-4, 0, 2
Let h(g) be the first derivative of g**4/18 + g**3/3 + 2*g**2/3 + 18*g + 5. Let a(m) be the first derivative of h(m). Factor a(x).
2*(x + 1)*(x + 2)/3
Let n be 0 - (-1 + 1 + -2). Factor -s**2 - 26*s - s**2 + 6*s**n + 16 + 6*s**2.
2*(s - 1)*(5*s - 8)
Let t(d) be the third derivative of -d**5/120 + 5*d**4/48 - d**3/2 + 28*d**2 - 2. Factor t(g).
-(g - 3)*(g - 2)/2
Let d be 4/(6*2) - (-87)/(-207). Let n = d + 27/46. Determine g so that 1/2*g**2 + n*g**4 - 1 + 3/2*g - 3/2*g**3 = 0.
-1, 1, 2
Let t = 1163 - 2311/2. Factor t*h**2 + h**3 + 12*h - 8.
(h + 4)**2*(2*h - 1)/2
Suppose 2*c - 15 - 11 = 0. Let 9*n + c*n**3 + 6*n**2 - 5 - 16*n**3 + 5 = 0. Calculate n.
-1, 0, 3
Let p(j) be the second derivative of 1/2*j**3 - 12*j - 3/20*j**5 + 1/30*j**6 - j**2 + 0 + 1/12*j**4. Factor p(m).
(m - 2)*(m - 1)**2*(m + 1)
Let -2/9*x**4 - 58/3*x**3 - 836/9*x**2 - 656/9 - 440/3*x = 0. What is x?
-82, -2, -1
Let c(l) be the third derivative of l**6/40 - 13*l**4/8 + 6*l**3 - l**2 + 218*l. Factor c(q).
3*(q - 3)*(q - 1)*(q + 4)
Factor 4*a**2 + a**2 - 22*a - a**2 - 4*a - 2*a + 40.
4*(a - 5)*(a - 2)
Let c(h) = -h**2 + 22*h - 38. Let q be c(20). Suppose 2*j = 3*o + 19, -3*j + q*o + 3*o = -31. Factor 1/3*z**j + 2/3*z + 1/3.
(z + 1)**2/3
Let r(t) be the second derivative of -t**4/6 + 7*t**3 + 46*t**2 - 5*t - 3. Factor r(v).
-2*(v - 23)*(v + 2)
Let g(o) be the third derivative of -o**7/840 + o**5/120 - 3*o**3/2 - 10*o**2. Let v(q) be the first derivative of g(q). Determine k, given that v(k) = 0.
-1, 0, 1
Let z(x) = 4*x**4 + 26*x**3 + 102*x**2 + 174*x + 94. Let h(w) = -w**4 - w**3 + w + 1. Let j(n) = -2*h(n) - z(n). Find p such that j(p) = 0.
-4, -3, -1
Let f(b) be the first derivative of -b**3/6 - 7*b**2/2 + 16*b + 352. Factor f(l).
-(l - 2)*(l + 16)/2
Suppose 0 = 4*c - 3*f - 32, 2*c - 26 = -0*c + 4*f. Factor -20*t**3 - t + 24*t**3 + 8*t**2 + c*t - 16*t.
4*t*(t - 1)*(t + 3)
Let g be (8 + (-222)/24)*1/(-60). Let x(q) be the third derivative of 0*q - 1/240*q**5 + 0*q**3 + 0 + 5*q**2 + g*q**4. Factor x(o).
-o*(o - 2)/4
Let q(s) be the third derivative of -s**5/80 + s**4/4 - 3*s**3/2 + 3*s**2 + 4. Solve q(d) = 0 for d.
2, 6
Let b be (-2)/6*(-5 - -4). Let v(y) = 55*y + 277. Let x be v(-5). Factor 2/3*q**4 - 2/3*q**x - 1/3*q + 0*q**3 + 0 + b*q**5.
q*(q - 1)*(q + 1)**3/3
Let i be (108/20)/(11/5 + -2). Let z = 83/3 - i. Factor -z + o**2 - 1/3*o.
(o - 1)*(3*o + 2)/3
Suppose -y + 8 = -p, -2*y + 3*p + 12 = -7. Suppose 0*u - 4*h - 15 = -5*u, y*u - 3*h = 15. Factor -12*b**2 + b**u + 0*b**3 + 9 - 25 + 24*b + b**3.
2*(b - 2)**3
Let c = -1164 + 1887. Let o be (3 + c/(-204))*-8 - 4. What is f in -o*f - 2/17 - 2/17*f**3 - 6/17*f**2 = 0?
-1
Let r(c) = -c**3 + 5*c**2 + 2*c - 10. Suppose 55*l = 52*l + 15. Let m be r(l). Factor 3/5 + 0*w + 3/5*w**4 - 6/5*w**2 + m*w**3.
3*(w - 1)**2*(w + 1)**2/5
Factor 6*l - 6*l**2 + 5*l**2 + l**2 - 2*l**2.
-2*l*(l - 3)
Find u, given that 30/11*u**2 + 28/11*u - 2/11 = 0.
-1, 1/15
Determine a so that -52/11*a**3 - 8/11*a - 174/11*a**2 + 232/11 + 2/11*a**4 = 0.
-2, 1, 29
Factor -9*a**2 + a**3 - 23*a - 9*a**3 - 15 + 4*a**3 + 3*a**3.
-(a + 1)*(a + 3)*(a + 5)
Let u(f) be the third derivative of -f**5/120 + 3*f**4/8 - 17*f**3/12 + 22*f**2. Factor u(l).
-(l - 17)*(l - 1)/2
Let n(p) be the third derivative of -p**8/336 - p**7/84 - p**3/2 + 12*p**2. Let h(i) be the first derivative of n(i). Determine r so that h(r) = 0.
-2, 0
Let g be ((4/10)/((-15)/75))/(-1). Suppose -2*m = g*m + 3*a + 3, -5*m + 3 = -3*a. Solve 2/3*o**5 + 0*o**4 + m*o - 2*o**3 + 0 + 4/3*o**2 = 0 for o.
-2, 0, 1
Let z(q) be the second derivative of -q**6/30 + 2*q**5/5 + 13*q**4/6 - 28*q**3 - 441*q**2/2 + 16*q + 2. Factor z(c).
-(c - 7)**2*(c + 3)**2
Let o(f) be the third derivative of -f**5/270 - f**4/12 - 45*f**2. Find m such that o(m) = 0.
-9, 0
Suppose -4*w**4 - 98*w**3 + 106*w**3 + 4*w**2 - 5*w - 3*w = 0. What is w?
-1, 0, 1, 2
Let r(c) be the second derivative of -c**7/840 + c**6/120 - c**5/60 - c**3/3 + 43*c**2/2 + 7*c + 2. Let n(x) be the second derivative of r(x). Factor n(g).
-g*(g - 2)*(g - 1)
Factor 2/9*r**3 + 0*r**2 - 8/9*r + 0.
2*r*(r - 2)*(r + 2)/9
Let c = 66 - 63. Find o, given that 0*o - 12/5*o**2 + 0 + 16/5*o**c = 0.
0, 3/4
Let g(u) be the third derivative of -u**5/20 - 9*u**4/8 - 14*u**3/3 - 17*u**2. Let l(q) = 35*q**2 + 325*q + 335. Let c(t) = 25*g(t) + 2*l(t). Factor c(a).
-5*(a + 2)*(a + 3)
Let q = -1910/153 - -216/17. Find s such that -q*s**4 + 0 - 8/9*s + 2/3*s**3 + 0*s**2 = 0.
-1, 0, 2
Let r = 1019/1470 + -13/490. Factor -r*n + 0 - 1/3*n**2.
-n*(n + 2)/3
Let c be (-7)/10*(-24)/112. Let x(f) be the second derivative of -12/7*f**2 + c*f**5 + 0 + 13/14*f**4 - 2*f + 10/7*f**3. Factor x(g).
3*(g + 2)**2*(7*g - 2)/7
Suppose -9*b - 843 + 861 = 0. Let a(c) be the first derivative of -15/2*c**b - 10 - 1/4*c**4 - 7/3*c**3 - 9*c. Factor a(w).
-(w + 1)*(w + 3)**2
Let j(v) = 136*v**3 - 4*v**2 - v - 1. Let x be j(-1). Let z = -138 - x. Factor 4/9*k + 2/3*k**5 + 22/9*k**4 + z*k**2 + 0 + 10/3*k**3.
2*k*(k + 1)**3*(3*k + 2)/9
Let z(o) = -o**4 + o**2 + o. Suppose -5*b + y = 17, 3*b + 0 + 3 = 3*y. Let k(i) = -i**5 + 3*i**4 - 4*i**2 - 4*i. Let v(m) = b*z(m) - k(m). Solve v(r) = 0.
-1, 0
Factor 7*q**2 - 735 + 857 - 9*q**2 - 120*q.
-2*(q - 1)*(q + 61)
Let s(c) be the first derivative of -2*c**5/25 - 5*c**4/2 - 94*c**3/15 - 23*c**2/5 - 222. Let s(t) = 0. Calculate t.
-23, -1, 0
Factor -6 + 1/2*g + 1/2*g**2.
(g - 3)*(g + 4)/2
Let g(a) = -a**2 + 19*a - 20. Let y(n) = -2*n**2 + 19*n - 19. Let z(b) = -3*g(b) + 2*y(b). Let j be z(-20). Let -1/4*m**j - 1/4 - 1/2*m = 0. Calculate m.
-1
Let w(y) be the second derivative of -y**4/4 - y**3 - 424*y. Suppose w(n) = 0. What is n?
-2, 0
Let p be 17/(1190/(-4)) - (-712)/210. Factor -1/3*m**2 + p*m - 25/3.
-(m - 5)**2/3
Factor 0 + 0*o**2 + 2/