6*p**7/105 - 5*p**6/6 - 38*p**5/15 - 14*p**4/3 - 16*p**3/3 + 73*p**2. Factor u(t).
-4*(t + 1)**2*(t + 2)**3
Let v(t) = -t**3 - 31*t**2 - 62*t - 6. Let l be v(-2). Factor 0 + 12/7*w**4 - 9/7*w - 33/7*w**3 + 30/7*w**l.
3*w*(w - 1)**2*(4*w - 3)/7
Let j(n) be the third derivative of 1/168*n**8 - 1/105*n**7 + 0 + 0*n**3 - n**2 + 0*n + 0*n**4 + 1/30*n**5 - 1/60*n**6. Factor j(y).
2*y**2*(y - 1)**2*(y + 1)
Let v(s) = -38*s**2 - 30*s**4 + 19*s**4 - 4*s + 4 - 80*s**3 - 21*s**4. Let a(r) = r**2 - 1. Let n(g) = 4*a(g) + v(g). Factor n(d).
-2*d*(d + 2)*(4*d + 1)**2
Let w be (6/65 + 0)*5. Let v = 19931/13 + -1533. Determine s, given that 0 + w*s**4 + 0*s - 6/13*s**3 - v*s**5 + 2/13*s**2 = 0.
0, 1
Let w be 3/5 + 24/10. Let x(f) = f - 2. Let v be x(5). Find h such that w*h**5 + 2*h**3 + h**2 + v*h**4 + h**3 - 2*h**5 = 0.
-1, 0
Let z(f) be the second derivative of -1/240*f**6 + 0*f**3 + 1/2*f**2 + 0*f**5 + 3*f + 1/48*f**4 + 0. Let y(n) be the first derivative of z(n). Factor y(d).
-d*(d - 1)*(d + 1)/2
Suppose d - 2*m = 6, 2*d - 9 = -4*m + 5*m. Factor 11*n**3 + 20*n**4 - 46*n**3 - 25*n**d.
-5*n**3*(n + 7)
Suppose -3*n + 4*y = 8, -8*n = -3*n + 5*y - 45. Let m(s) = -s**3 + 7*s**2 + 9*s - 6. Let j be m(8). Factor -6*t**3 + 3*t**j - 5*t**n - 5*t**2 - 2*t**5 - t**4.
-2*t**2*(t + 1)**3
Let h(p) = -p. Let z = 23 + -22. Let u(l) = 3*l**2 - 34*l + 108. Let c(a) = z*u(a) + 2*h(a). Factor c(d).
3*(d - 6)**2
Let v(b) be the second derivative of 2/15*b**3 + 0*b**2 + 1/50*b**5 + 0 - 1/10*b**4 + 23*b. What is t in v(t) = 0?
0, 1, 2
Let q(x) be the third derivative of -x**8/1344 + x**7/120 - 19*x**6/480 + 5*x**5/48 - x**4/6 + x**3/6 + 65*x**2. Suppose q(m) = 0. Calculate m.
1, 2
Let h(w) be the second derivative of -w**7/1050 - 11*w**6/1800 - w**5/120 + w**4/60 + 13*w**3/6 + 14*w. Let k(f) be the second derivative of h(f). Factor k(p).
-(p + 1)*(p + 2)*(4*p - 1)/5
Let r(n) be the third derivative of 0 - 1/60*n**5 + 10*n**2 + 1/12*n**3 + 0*n - 1/120*n**6 + 1/48*n**4 + 1/420*n**7 + 1/672*n**8. Find w such that r(w) = 0.
-1, 1
Let z(l) be the first derivative of 20*l**3/3 - 186*l**2 - 152*l - 244. Factor z(a).
4*(a - 19)*(5*a + 2)
Let y(c) be the first derivative of -4*c**7/21 + 6*c**6/5 - 12*c**5/5 + 4*c**4/3 - 10*c + 2. Let o(s) be the first derivative of y(s). Factor o(r).
-4*r**2*(r - 2)**2*(2*r - 1)
Let k(p) be the second derivative of -p**8/6720 + p**7/2520 + p**6/180 - p**5/30 + p**4/3 - 14*p. Let m(q) be the third derivative of k(q). Factor m(v).
-(v - 2)*(v - 1)*(v + 2)
Let s be (4/20)/(-9*(-3)/5). Let q(g) be the first derivative of 0*g**2 + 0*g + 9 - 1/18*g**4 + 1/45*g**5 + s*g**3. Let q(n) = 0. Calculate n.
0, 1
Let f = -25038 - -75115/3. Factor 1/3*a**4 + 0*a**2 - f + 2/3*a**3 - 2/3*a.
(a - 1)*(a + 1)**3/3
Let q(n) be the first derivative of -n**6/63 + 2*n**5/105 + n**4/7 + 40. Factor q(p).
-2*p**3*(p - 3)*(p + 2)/21
Let g = 31 + -39. Let l be (-6)/g*320/210. Find x, given that -2/7*x**2 - l*x - 8/7 = 0.
-2
Suppose g = -2*g + 2*s + 19, -5*g + 40 = 5*s. Factor -5*c - 2*c**4 - 3*c**2 + g*c**4 + 132*c**3 - 2*c**2 - 127*c**3.
5*c*(c - 1)*(c + 1)**2
Let x(j) be the third derivative of -j**7/945 + j**6/270 + j**5/270 - j**4/54 + 530*j**2. Factor x(r).
-2*r*(r - 2)*(r - 1)*(r + 1)/9
Let y(l) be the first derivative of l**4/4 - 2*l**3 + 9*l**2/2 - 2*l - 15. Let z be y(4). Solve 0*i + 0*i**z + 0 - 3/7*i**3 + 3/7*i**4 = 0.
0, 1
Let t(y) be the third derivative of 0 + 0*y + 0*y**4 + 0*y**3 + 1/720*y**6 + 6*y**2 - 1/180*y**5. Factor t(a).
a**2*(a - 2)/6
Find z, given that 0*z + 0*z**2 - 4/15*z**4 + 0 - 2/15*z**5 - 2/15*z**3 = 0.
-1, 0
Suppose -3*b - 3*d - 3 = 0, -b - 5*d = b + 5. Suppose 3*s - 2*s = b. Determine a, given that s*a - 2/15*a**3 + 0 - 2/15*a**2 = 0.
-1, 0
Let h = -32 + 36. Let t(l) be the second derivative of 0*l**3 - h*l - 1/6*l**4 + 1/84*l**7 + 1/60*l**6 + 0*l**2 - 1/10*l**5 + 0. Factor t(d).
d**2*(d - 2)*(d + 1)*(d + 2)/2
Suppose 0 = -7*t - 18 + 25. Let f be (1/4*t)/((-4)/(-8)). Factor -u**3 + 0*u + 3/2*u**2 - f*u**4 + 0.
-u**2*(u - 1)*(u + 3)/2
Let v(j) be the third derivative of -j**9/5040 + j**8/2240 + j**7/168 + j**6/80 - 3*j**4/8 + 3*j**2. Let g(c) be the second derivative of v(c). Factor g(y).
-3*y*(y - 3)*(y + 1)**2
Suppose h - 4*c - 30 = 0, -8*h - 15 = -5*h + 3*c. Suppose 7/2*b**3 + 0 - 5/2*b**4 + 4*b**h - 2*b = 0. Calculate b.
-1, 0, 2/5, 2
Suppose -3*r - 1 = 17. Let n = -1 - r. Let -x**3 - 3*x**5 - x**2 - 2*x + n*x**4 + 2*x = 0. Calculate x.
-1/3, 0, 1
Factor 0*v**2 + 7/4*v - 3/2 - 1/4*v**3.
-(v - 2)*(v - 1)*(v + 3)/4
Let s(a) be the third derivative of a**5/15 - a**4/3 + 2*a**3/3 + 4*a**2 + 6. Suppose s(w) = 0. Calculate w.
1
What is u in -1/4*u**3 - 41/4*u - 3*u**2 - 15/2 = 0?
-6, -5, -1
Factor 0 + 18/7*o**3 - 15/7*o**4 + 0*o + 3/7*o**5 + 0*o**2.
3*o**3*(o - 3)*(o - 2)/7
Let s(r) be the third derivative of 0 + 1/600*r**6 + 0*r - 1/120*r**4 - 2*r**2 + 1/100*r**5 - 1/1050*r**7 - 1/15*r**3. Factor s(h).
-(h - 2)*(h - 1)*(h + 1)**2/5
Let c(s) be the second derivative of -1/9*s**3 - 1/15*s**5 - 2*s + 0 + 0*s**2 - 1/6*s**4. Factor c(q).
-2*q*(q + 1)*(2*q + 1)/3
Suppose -503*s + 4 = -490*s + 4. Determine v, given that s*v + 1/2 - 1/2*v**2 = 0.
-1, 1
Factor 97/4*n**3 - 4*n**4 + 1/4*n**5 - 139/2*n**2 - 50 + 95*n.
(n - 5)**2*(n - 2)**3/4
Let i be (2/6)/((-44)/(-66)). Let r(l) be the second derivative of 0*l**4 - 5/2*l**2 + 1/6*l**6 + 0 - 5/3*l**3 + i*l**5 - 4*l. Factor r(t).
5*(t - 1)*(t + 1)**3
Suppose -3*a = 0, -4*f - 2*a = f. Suppose f = 131*m - 126*m - 10. Factor 2/3*u + 2/3*u**m + 0.
2*u*(u + 1)/3
Let m = -1225/12 + 310/3. Factor 5/2 + m*j**2 + 15/4*j.
5*(j + 1)*(j + 2)/4
Suppose 184/7*h + 2/7*h**2 + 4232/7 = 0. What is h?
-46
Factor 25*u**5 - 15*u - u**2 - 5*u - 4*u**4 - 29*u**5 - 7*u**2 + 24*u**3 + 12.
-4*(u - 1)**3*(u + 1)*(u + 3)
Let h(u) = -2*u**3 - u**2 + u. Let o(r) = 14*r**3 + 14*r**2 - 44*r + 28. Let s(w) = -6*h(w) - o(w). Factor s(f).
-2*(f - 2)*(f - 1)*(f + 7)
Let y be 18/24*(5 - 1). Suppose -y*h = -6 - 6. Suppose 4*m**4 + 12*m**2 + h*m**3 - 12*m**3 - 8*m**2 = 0. What is m?
0, 1
Let 45/2 + 5/4*d**2 - 45/4*d = 0. What is d?
3, 6
Let a(n) = -13*n**2 - 141*n + 154. Let b(v) = -50*v**2 - 565*v + 615. Let k(j) = -15*a(j) + 4*b(j). Let k(h) = 0. Calculate h.
-30, 1
Solve 103*k**2 + 2*k**3 + 101*k**2 - 72 - 82*k + 99*k**2 - 311*k**2 = 0.
-4, -1, 9
Factor -2*f**2 + 12 + 5*f**2 - 2*f**2 + 8*f.
(f + 2)*(f + 6)
Suppose -c = -h + 4 + 5, 5*h - 3*c - 43 = 0. Let d(p) = p**3 - 9*p**2 + 7*p + 10. Let x be d(h). Solve -4*u + 5*u**2 - 2 - 6*u**2 - u**x = 0 for u.
-1
Let g be 6/(-23 + (-122)/(-4)). What is l in 32/5 - g*l**3 + 12*l + 24/5*l**2 = 0?
-1, 8
Solve 16/5 - 8/5*p + 42/5*p**5 + 266/5*p**3 - 184/5*p**4 - 132/5*p**2 = 0.
-2/7, 2/3, 1, 2
Suppose 12*z = -9 + 21. Let i be (1 - z)/(-4 + 0). Suppose 0*a**2 + 0 + 0*a**4 - 1/6*a**5 + i*a + 1/6*a**3 = 0. What is a?
-1, 0, 1
Suppose -3*g - r = -5, -2*g = -3*g + 2*r - 10. Let f(c) be the second derivative of g + 0*c**2 + 4*c + 1/140*c**5 + 0*c**4 - 1/210*c**6 + 0*c**3. Factor f(u).
-u**3*(u - 1)/7
Determine b, given that 3/2*b**2 + 0 - 1/2*b**3 - 1/2*b**5 + b - 3/2*b**4 = 0.
-2, -1, 0, 1
Let g(l) = 34*l**3 - 16*l**2 - 170*l + 122. Let c(m) = 23*m**3 - 11*m**2 - 114*m + 81. Let q(z) = 10*c(z) - 7*g(z). Factor q(o).
-2*(o - 2)*(o - 1)*(4*o + 11)
Let i be 28/(-3 + -1)*-1. Let r(w) = -3*w**4 - 7*w**3 - 5*w**2 + w. Let t(a) = -2*a**4 - 6*a**3 - 6*a**2 + 2*a. Let u(l) = i*t(l) - 6*r(l). Factor u(g).
4*g*(g - 1)**2*(g + 2)
Determine v, given that -1 - 625/4*v**2 + 25*v = 0.
2/25
Let j(c) be the third derivative of c**6/120 + 13*c**5/60 - 7*c**4/12 + c**3 + 11*c**2. Let m be j(-14). Factor 0 + 0 - 2 - m*r - 2 - 2*r**2.
-2*(r + 1)*(r + 2)
Let u(p) be the third derivative of 0*p + 0 - 73/60*p**6 + 8*p**2 + 86/15*p**5 - 44/3*p**4 + 2/15*p**7 - 1/168*p**8 + 64/3*p**3. Determine l so that u(l) = 0.
1, 4
Factor 499 + y**2 + 70 + 44*y - 85.
(y + 22)**2
Let k(h) be the third derivative of 0*h**4 + 0*h**6 - 1/5*h**5 + 3/70*h**7 + 0*h**3 + 0 + 1/112*h**8 + 37*h**2 + 0*h. Find p such that k(p) = 0.
-2, 0, 1
Let y = 70 - 70. Suppose y = -13*r + r. Factor 0*v**2 + r*v - 1/6*v**3 + 0*v**4 + 0 + 1/6*v**5.
v**3*(v - 1)*(v + 1)/6
Let m(k) = k**5 - k**4 + k**3 - k**2. Let b(g) = 7*g**5 - g**4 - g**3 - 13*g**2 + 8*g. Let u(w) = b(w) - 5*