 6/5*c**2 + 2/5*c**4 - 8/5 - 8/5*c + 8/5*c**3 = 0.
-2, -1, 1
Let q(r) be the third derivative of -r**5/180 - r**4/72 + 3*r**2. Suppose q(n) = 0. Calculate n.
-1, 0
Suppose 3*x - 86 = -2*u, 5*x + 7*u - 11*u - 136 = 0. Factor -14*p**2 + 2*p + 8*p**5 + 0 + 33/2*p**3 + x*p**4.
p*(p + 2)**2*(4*p - 1)**2/2
Let d be (-9 + 51/6)/(4/(-16)). Let 131/4*f**3 + 79/2*f**4 + 10*f**d + 0 + 63/4*f**5 + f = 0. Calculate f.
-1, -2/7, -2/9, 0
Let m be ((2134/96)/11 - 1) + -1. Let x(t) be the second derivative of -2*t - 1/4*t**2 - m*t**4 + 0 - 1/8*t**3. Factor x(w).
-(w + 1)*(w + 2)/4
Let h = 6 - -2. Suppose 2*q - 18 = 5*m, -3*m + 2 = h. Factor -1/5*x**5 + 0*x + 1/5*x**3 + 0 - 1/5*x**2 + 1/5*x**q.
-x**2*(x - 1)**2*(x + 1)/5
Let k(y) be the first derivative of -6 + 1/2*y**4 + 2*y**3 + 3*y**2 + 2*y. Suppose k(p) = 0. What is p?
-1
Let t(z) be the first derivative of -2*z**5/25 - 3*z**4/10 - 4*z**3/15 - 22. Let t(g) = 0. What is g?
-2, -1, 0
Suppose 0 = 3*n - 8*q + 11*q - 9, 5 = 5*q. Solve 1/2*d - 1 + 1/2*d**n = 0 for d.
-2, 1
Let p(h) = -36*h - 360. Let f be p(-10). Solve f + 2/9*d**3 + 2/9*d**2 - 4/9*d = 0 for d.
-2, 0, 1
Let s(d) be the second derivative of d**5/30 + d**4/3 + 4*d**3/3 + 8*d**2/3 + 4*d. Solve s(t) = 0.
-2
Let p(v) be the first derivative of -2*v**5/5 - 19*v**4/6 - 22*v**3/3 - 7*v**2 - 8*v/3 + 34. Find j such that p(j) = 0.
-4, -1, -1/3
Let a(x) be the second derivative of x**6/15 - 3*x**5/10 + 4*x**3/3 - 5*x. Factor a(c).
2*c*(c - 2)**2*(c + 1)
Let d = 11224/7 + -1600. Let 2/7*c**3 + d*c - 12/7*c**2 - 16/7 = 0. Calculate c.
2
Let y(x) be the third derivative of -x**5/210 - x**4/14 - 5*x**3/21 + 35*x**2. Suppose y(r) = 0. Calculate r.
-5, -1
Suppose 0 = 4*z - 4*w + 52, 4*w = -3*z + 4*z + 22. Let r be (-4)/1*5/z. Factor 0*c + 2/7 - 2/7*c**r.
-2*(c - 1)*(c + 1)/7
Let i(b) = 4*b**4 - 2*b**3 - 18*b**2 + 18*b + 2. Let w(d) = -12*d**4 + 5*d**3 + 55*d**2 - 55*d - 7. Let j(k) = 7*i(k) + 2*w(k). What is p in j(p) = 0?
-2, 0, 1, 2
Let w(z) be the third derivative of -19*z**5/480 + 17*z**4/192 + z**3/24 + 21*z**2. Factor w(f).
-(f - 1)*(19*f + 2)/8
Let x be (3/2)/((-42)/(-28)). Let k = -21 + 43/2. Factor 1/2*w - k*w**2 + x.
-(w - 2)*(w + 1)/2
Let w(a) be the second derivative of 1/40*a**5 + 0 + a + 0*a**2 - 1/12*a**4 + 1/12*a**3. Factor w(j).
j*(j - 1)**2/2
Factor 0 + 0*z - 9/7*z**3 + 0*z**2 - 12/7*z**4 - 3/7*z**5.
-3*z**3*(z + 1)*(z + 3)/7
Factor -4/3 + 5/3*u - 1/3*u**2.
-(u - 4)*(u - 1)/3
Suppose -3*k = 3*x + 9, x - 3*x + 9 = -k. Let c(g) be the first derivative of 1 - g**x - 2/3*g**3 + 0*g. Solve c(b) = 0 for b.
-1, 0
Suppose 4*q = 2*b, -3*b + 4*q - 3*q = -5. Factor 2*f - 2*f**5 - 6*f + b*f + 4*f**3.
-2*f*(f - 1)**2*(f + 1)**2
Let w(u) be the first derivative of -u**4/4 - 7*u**3/3 - 3*u**2 + 9. Let h be w(-6). Factor -1/4*o**3 + h + 0*o - 1/4*o**4 + 1/2*o**2.
-o**2*(o - 1)*(o + 2)/4
Let w(x) = -x**3 + 26*x**2 + 25*x + 4. Let n(r) = 5*r**3 - 155*r**2 - 150*r - 25. Let o(i) = 6*n(i) + 35*w(i). Factor o(s).
-5*(s + 1)**2*(s + 2)
Let j(p) be the third derivative of p**10/2592 + p**9/11340 - p**8/5040 - p**4/12 + p**2. Let g(o) be the second derivative of j(o). Factor g(d).
d**3*(5*d + 2)*(7*d - 2)/3
Let x(i) be the second derivative of -2/3*i**3 + 0 + i - 2*i**2 - 1/12*i**4. Factor x(p).
-(p + 2)**2
Let k(n) be the second derivative of -1/4*n**4 + n + 0 + 0*n**2 + 3/2*n**3. Factor k(u).
-3*u*(u - 3)
Let g(b) be the third derivative of 1/60*b**5 + 0*b - 1/24*b**4 + 0 - b**2 + 0*b**3 - 1/480*b**6. Factor g(a).
-a*(a - 2)**2/4
Let s = 259499/1890 - 1373/10. Let z(q) be the third derivative of 0*q**3 - 1/270*q**5 - 1/270*q**6 - q**2 - s*q**7 + 0*q + 0*q**4 + 0. Solve z(k) = 0 for k.
-1, 0
Let s(i) = -19*i**5 + 18*i**4 + 12*i**3 - 17*i**2 - 7*i + 13. Let z(j) = 6*j**5 - 6*j**4 - 4*j**3 + 6*j**2 + 2*j - 4. Let b(m) = 4*s(m) + 14*z(m). Factor b(u).
4*(u - 1)**3*(u + 1)*(2*u + 1)
What is y in 0*y**2 + 0*y**4 - 1/3*y**5 + 1/3*y**3 + 0 + 0*y = 0?
-1, 0, 1
Let a(t) be the third derivative of -t**8/728 + t**7/195 + t**6/780 - 7*t**5/390 + t**4/78 + 6*t**2. Solve a(q) = 0.
-1, 0, 1/3, 1, 2
Suppose b - 15 = 5*c - 4*b, 3*b - 9 = -3*c. Let m = -16 + 18. Factor -4*k**4 - m*k**3 + 0*k + c - 1/4*k**2.
-k**2*(4*k + 1)**2/4
Let 0 - 2/11*t**2 - 6/11*t = 0. Calculate t.
-3, 0
Let t = -13 + 7. Let c = 6 + t. Solve c*p + 1 - 5*p**2 + 3*p**2 - p = 0.
-1, 1/2
Factor 2 + 0 - 3*i**2 + 3 - 2.
-3*(i - 1)*(i + 1)
Let o(n) = -3*n**5 - 5*n**4 + 19*n**3 - 16*n**2 - 5*n + 5. Let b(q) = -4*q**5 - 8*q**4 + 28*q**3 - 24*q**2 - 8*q + 8. Let k(u) = -5*b(u) + 8*o(u). Factor k(t).
-4*t**2*(t - 1)**2*(t + 2)
Let y = 253 - 44273/175. Let d(w) be the third derivative of 0*w**3 + 0*w**5 + 0*w + 0*w**4 + y*w**7 + 1/300*w**6 + 0 - 2*w**2 + 3/280*w**8. Factor d(n).
2*n**3*(3*n + 1)**2/5
Let x be -2*(-10)/(-4)*12/(-30). Find o such that 4/3*o**x - 2/3 + 2/3*o = 0.
-1, 1/2
Let i(p) be the third derivative of p**8/840 - p**6/180 - 5*p**3/6 - 3*p**2. Let r(u) be the first derivative of i(u). Factor r(f).
2*f**2*(f - 1)*(f + 1)
Solve -5*a**2 - 1/3*a**4 + 7/3*a**3 + 3*a + 0 = 0.
0, 1, 3
Let j(c) be the third derivative of c**9/1512 + c**8/840 + c**3/2 + 2*c**2. Let f(w) be the first derivative of j(w). Let f(k) = 0. What is k?
-1, 0
Let q(z) be the third derivative of 3/140*z**5 + 0 + 1/280*z**6 - 5*z**2 - 2/7*z**3 + 0*z + 0*z**4. Let q(d) = 0. What is d?
-2, 1
Determine u so that u**3 - 1/2*u**4 + 1/2 - u + 0*u**2 = 0.
-1, 1
Let n = -22/59 + 1172/295. Factor -12/5*c**2 + 0 - n*c**3 - 3/5*c - 12/5*c**4 - 3/5*c**5.
-3*c*(c + 1)**4/5
Let z be (-4)/(-3)*(-2)/(-8). Let r(s) be the first derivative of 0*s + z*s**6 - 2 + 0*s**5 + s**2 - s**4 + 0*s**3. Factor r(m).
2*m*(m - 1)**2*(m + 1)**2
Let o(l) be the first derivative of -1/3*l**3 + 1/2*l**2 - 4 + 2*l. Suppose o(c) = 0. What is c?
-1, 2
Suppose 5 = 4*a + 53. Let h = a - -15. Factor 8/11 + 2/11*q**h + 0*q - 6/11*q**2.
2*(q - 2)**2*(q + 1)/11
Suppose 0 = 2*z - i - 8, -3*z + 5*z = -i. Let h(b) be the first derivative of 0*b - 4/21*b**3 + 1/7*b**z + 1 + 1/14*b**4. Factor h(v).
2*v*(v - 1)**2/7
Suppose 3*m = 5 + 1. Suppose m*k = -3*k. Factor -2/7*v**2 + 4/7*v**3 + k + 0*v - 2/7*v**4.
-2*v**2*(v - 1)**2/7
Let l(c) be the third derivative of -c**7/1764 + c**6/315 + c**5/105 - c**4/6 - 7*c**2. Let f(p) be the second derivative of l(p). Factor f(v).
-2*(v - 2)*(5*v + 2)/7
Suppose 0 = -4*z + 1 + 7. Factor 4*v**z - 5*v**2 - 6*v - 2*v + 6*v.
-v*(v + 2)
Factor 1/3*s**3 + 1/9*s + 0 + 1/3*s**2 + 1/9*s**4.
s*(s + 1)**3/9
Let t(l) = l**3 + l**2. Let o(j) = j**3 - 2*j**2. Let b(w) = o(w) + 2*t(w). Factor b(c).
3*c**3
Let z = 0 + 2/7. Determine l so that -2/7*l**4 - z*l + 2/7*l**3 - 4/7 + 6/7*l**2 = 0.
-1, 1, 2
Let g = -6 + 8. Suppose -i + 1 = -5*s, 2*i - i - s = 1. Factor -2*x + x**2 + i - 2*x**2 + 2*x**g.
(x - 1)**2
Let c = 5 - 3. Suppose -4*s - 17 = -i, 2*i - 4*s = -i + 19. Factor -4*l**2 + 3*l**c + 0*l**2 + i.
-(l - 1)*(l + 1)
Suppose -2*j - o = 2*o + 2, -2 = -2*j - o. Let h(f) be the second derivative of f + 1/30*f**6 + 1/4*f**4 - 1/6*f**3 + 0*f**j + 0 - 3/20*f**5. Factor h(s).
s*(s - 1)**3
Let d(r) be the second derivative of r**7/5040 + r**6/360 + r**5/60 + r**4/6 + r. Let u(b) be the third derivative of d(b). Suppose u(m) = 0. What is m?
-2
Let k be (-1)/((2 - -3)/(-15)). Let v(s) be the third derivative of 0*s + 1/168*s**4 + 2*s**2 + 0 + 1/420*s**5 - 1/42*s**k - 1/840*s**6. Factor v(f).
-(f - 1)**2*(f + 1)/7
What is b in 2/3 - 1/6*b**2 + 1/2*b = 0?
-1, 4
Let v(g) be the first derivative of 10*g**3/9 + 22*g**2/3 + 16*g/3 - 17. Determine z, given that v(z) = 0.
-4, -2/5
Let f(b) = -b + 1. Let q be f(-1). Determine c so that -1/2*c - 1/2*c**q + 1 = 0.
-2, 1
Let c(h) = -h**3 + h**2. Let o be c(1). Let i = -8 - -13. Find q, given that -q**i + o*q**5 + 2*q**5 = 0.
0
Let i(j) = 36*j**2 - 129*j + 21. Let x(g) = 7*g**2 - 26*g + 4. Let v(r) = 5*i(r) - 24*x(r). Determine s so that v(s) = 0.
3/4, 1
Let w(l) be the first derivative of -l**7/1260 - l**6/135 - l**5/45 + 2*l**3/3 + 3. Let q(y) be the third derivative of w(y). Factor q(r).
-2*r*(r + 2)**2/3
Let l be -2 + 4 + -3 + 1. Let u(r) be the third derivative of -1/9*r**3 + 2*r**2 - 1/90*r**5 - 1/18*r**4 + 0 + l*r. Factor u(b).
-2*(b + 1)**2/3
Let o(l) be the first derivative of 0*l**2 - 3*l + 6/5*l**5 - 2/3*l**3 - 5/6*l**4 - 1. Let 