 + 0 + 0*c.
-2*c**2/17
Let c(u) = u - 2. Let p be c(4). Factor s**3 + s**p - 12*s + 12*s.
s**2*(s + 1)
Suppose 5*i + 0*i = 10. Suppose 3*h - 8 = i*y, h - y + 0*y = 2. Determine d so that 3*d - 2*d**4 - 6*d**2 - 5*d + h*d + 6*d**3 = 0.
0, 1
Let m(i) = i**3 + 6*i**2 + 5*i. Let v be m(-5). Suppose v = z - 5, -6 = 2*o - 2*z - 0. Let 0*l**5 + l**5 - o*l - 3*l**5 + 4*l**3 = 0. What is l?
-1, 0, 1
Suppose 2*x = -4*k - 7 + 21, -4*k + 3*x = -9. Factor y + y**5 + 4*y**2 - 4*y**2 - 2*y**k.
y*(y - 1)**2*(y + 1)**2
Let p = -8 + 15. Let r be (-2)/p - (-2)/7. Factor -9*o**3 - 3*o**2 - 5*o**5 + 2*o**5 - 5*o**4 - 4*o**4 + r*o**5.
-3*o**2*(o + 1)**3
Let t(d) be the first derivative of 0*d**2 - 2 + 1/12*d**3 + 0*d + 0*d**4 - 1/20*d**5. Factor t(o).
-o**2*(o - 1)*(o + 1)/4
Find k, given that 4*k**3 + 8/5*k + 0 + 28/5*k**2 = 0.
-1, -2/5, 0
Factor -51/5*o**3 - 3/5*o**4 - 48*o**2 + 0 - 192/5*o.
-3*o*(o + 1)*(o + 8)**2/5
Let a be (-12)/9*45/(-20). Factor 0*l**2 - a*l**2 - 8*l**3 - 7*l**2 - 4*l - 5*l**4 + 3*l**4.
-2*l*(l + 1)**2*(l + 2)
Let d(t) be the second derivative of t**6/20 + 9*t**5/10 + 6*t**4 + 16*t**3 + 6*t. Solve d(m) = 0 for m.
-4, 0
Suppose 0*b - 3*b = -42. Let -11*w - 4*w - b*w**2 + 1 - 6*w**3 + 5*w - 3 = 0. Calculate w.
-1, -1/3
Let d be (-6 - -4)*(1 - (-27)/(-24)). Factor 3/4*x**4 + 5/4*x**3 + 1/4*x**2 - d*x + 0.
x*(x + 1)**2*(3*x - 1)/4
Let t(g) be the first derivative of 3*g**4/4 - 3*g**2/2 - 3. Find v such that t(v) = 0.
-1, 0, 1
Let v(l) = -l**3 - 3*l**2 - l + 2. Let c be v(-2). Find w, given that c*w + 2*w**3 - 1 - 2*w - 1 + 3*w**2 - w**2 = 0.
-1, 1
Let i(j) be the first derivative of 4*j**5/35 + 5*j**4/7 + 12*j**3/7 + 2*j**2 + 8*j/7 + 1. Factor i(g).
4*(g + 1)**3*(g + 2)/7
Let q(u) be the third derivative of u**5/270 + u**4/108 + 6*u**2. Factor q(f).
2*f*(f + 1)/9
Factor 0*q**3 + 1/3*q**2 + 0*q + 0 - 1/3*q**4.
-q**2*(q - 1)*(q + 1)/3
Let f(v) be the second derivative of -7*v**5/10 + v**4/3 + 9*v. Let f(r) = 0. Calculate r.
0, 2/7
Determine k so that 20*k**4 - 3*k**2 + 12*k - 3*k**3 + 0*k**3 - 9*k**2 - 17*k**4 = 0.
-2, 0, 1, 2
Factor 21*b**3 - 33*b**3 + 20*b**4 + 3*b - 3*b - 8*b**2.
4*b**2*(b - 1)*(5*b + 2)
Factor 4/5*c + 26/5*c**2 + 0 + 14/5*c**5 + 46/5*c**4 + 54/5*c**3.
2*c*(c + 1)**3*(7*c + 2)/5
Let l(t) = -t**3 + 5*t**2 + 8*t - 8. Let w be l(6). Let y = 10 + w. Factor q**4 - y*q**4 - 14*q + 4 + 12*q**2 + 6*q**5 - 3*q**4 + 8*q**3.
2*(q - 1)**3*(q + 1)*(3*q - 2)
Let a(s) = s + 8. Let z be a(-8). Factor 2*i**4 - 1 - 4*i + z - 1 + 4*i**3.
2*(i - 1)*(i + 1)**3
Let s(d) be the first derivative of d**4/4 + 37*d**3/3 - 55*d**2/2 + 31*d + 5. Let x(u) = -11 - 12*u**2 - 3 + 18*u + 4. Let q(k) = 2*s(k) + 7*x(k). Factor q(p).
2*(p - 2)**2*(p - 1)
Suppose 0*p = -3*h - 2*p + 16, 5*h + 4*p = 30. Factor 10*u - 2*u**2 - 9*u - u**2 + 2*u**h.
-u*(u - 1)
Let z be (22/(-5))/((-12)/30). Let i be ((-1)/z)/((-1)/2). Factor -i*l**3 + 0 - 2/11*l**2 + 2/11*l**4 + 0*l + 2/11*l**5.
2*l**2*(l - 1)*(l + 1)**2/11
Suppose -l + 13 = 3*n, -n - 3*l + 4 + 3 = 0. Let 10*a + 4*a - 2 - 2*a - 6 - n*a**3 = 0. What is a?
-2, 1
Let o = -4 + 9/2. Let 2*y + o + 2*y**5 - y**2 + 1/2*y**4 - 4*y**3 = 0. Calculate y.
-1, -1/4, 1
Let 15/4*i**2 + 5/2*i - 5/4 = 0. What is i?
-1, 1/3
Let u(y) = -2*y**4 + y**3. Suppose -16 = 4*o, 2 = -5*t - 5*o - 3. Let r(v) = -2*v**4. Let h(g) = t*r(g) - 2*u(g). Suppose h(w) = 0. Calculate w.
-1, 0
Let l be 1 + 0 + 3 + -2. Suppose -7*f**5 - 128*f**l + 3*f**5 - 130*f**3 + 34*f**3 - 4*f**4 - 64*f - 28*f**4 = 0. Calculate f.
-2, 0
Let q be ((-2)/10)/((-6)/33). Let t = q + -9/10. Factor 0*k - t*k**2 + 1/5.
-(k - 1)*(k + 1)/5
Suppose 2*f + 19 = o, 4*o + f - 7 = 24. Determine n so that 8*n**3 - o*n**3 - 12*n**2 + 12*n + 4*n**3 = 0.
0, 2
Let j(o) be the third derivative of 0 + 1/40*o**6 + 0*o**4 + 1/20*o**5 + 0*o**3 + 0*o + 2*o**2. Factor j(b).
3*b**2*(b + 1)
Find j, given that -31*j**2 + 40 - 253*j**4 - 20*j + 248*j**4 + 25*j**3 + j**2 = 0.
-1, 2
Let j(m) be the second derivative of -m**5/50 + m**4/6 + 13*m**3/15 + 7*m**2/5 - 14*m. Factor j(p).
-2*(p - 7)*(p + 1)**2/5
Let f(p) be the second derivative of -p**6/35 - 9*p**5/70 + p**4/14 + 3*p**3/7 + 13*p. Factor f(r).
-6*r*(r - 1)*(r + 1)*(r + 3)/7
Let y = -367/10 + 1059/20. Let g = y - 16. Factor 1/4*h**2 + 0*h - 1/2*h**3 + 0 + g*h**4.
h**2*(h - 1)**2/4
Let p(y) be the first derivative of 1/27*y**6 + 1/9*y**2 - 8/45*y**5 + 0*y + 2 + 1/3*y**4 - 8/27*y**3. Determine l, given that p(l) = 0.
0, 1
Let t = -11 + 13. Factor -8/3*x**3 - 8/3*x + 2/3*x**4 + 2/3 + 4*x**t.
2*(x - 1)**4/3
Let g(c) be the first derivative of -2*c**5/45 - c**4/9 + 2*c**3/27 + 2*c**2/9 - 15. Factor g(q).
-2*q*(q - 1)*(q + 1)*(q + 2)/9
Let x = 2 - 10. Let l = x + 11. Factor -2/7*k**5 - 2/7*k**4 - 2/7*k - 2/7 + 4/7*k**2 + 4/7*k**l.
-2*(k - 1)**2*(k + 1)**3/7
Let x = -10 - -7. Let h = -1 - x. Let -3*d**2 - 3*d + h*d**4 + 9*d**2 - 6*d**3 + d = 0. What is d?
0, 1
Let g(k) be the third derivative of -k**6/60 - 7*k**5/150 - k**4/30 + 41*k**2. Find w, given that g(w) = 0.
-1, -2/5, 0
Determine w, given that -13*w**3 + 12*w**3 + 2*w - 3*w**5 + 2*w**5 + 0*w**5 - 3*w**4 + 3*w**2 = 0.
-2, -1, 0, 1
Find w such that -2/5 - 2/5*w**4 + 4/5*w**3 + 4/5*w**2 - 2/5*w - 2/5*w**5 = 0.
-1, 1
Let x(h) be the second derivative of -h**7/2520 - h**6/720 + h**5/60 - h**4/4 + 2*h. Let z(m) be the third derivative of x(m). Find o, given that z(o) = 0.
-2, 1
Let c(o) be the first derivative of 3*o**4/2 - 14*o**3/5 + 6*o**2/5 + 19. Factor c(r).
6*r*(r - 1)*(5*r - 2)/5
Let w = -11 + 15. Suppose 4*x + 5*i = -10, 4*x + 2 = 3*i + 8. Find t, given that -t - t**3 + x + w*t + 2 = 0.
-1, 2
Let f(i) = 0 + 0 - i**2. Let v(h) = 12*h**2 - 6*h - 3. Let c(a) = 15*f(a) + v(a). Let c(n) = 0. What is n?
-1
Let u(c) be the first derivative of -c**6/180 + c**5/30 - c**4/18 - c**2 - 4. Let h(z) be the second derivative of u(z). Let h(t) = 0. What is t?
0, 1, 2
Let g(m) be the third derivative of m**8/3360 - m**7/630 + m**6/360 + m**4/6 + 4*m**2. Let u(h) be the second derivative of g(h). What is z in u(z) = 0?
0, 1
Let r(n) = 13*n**2 - 12*n - 1. Suppose -z = -4*z + 6. Let k(m) = 11*m - 11*m**2 - 7*m**2 + 6*m**2 + m**3. Let v(w) = z*r(w) + 3*k(w). Find p such that v(p) = 0.
1/3, 1, 2
Let o = 9/25 - -1/25. Suppose o*g**2 + 0 + 0*g = 0. What is g?
0
Let g(j) be the first derivative of j**6/33 + 16*j**5/55 + 9*j**4/11 - 27*j**2/11 - 14. Factor g(k).
2*k*(k - 1)*(k + 3)**3/11
Let q(y) be the second derivative of 3*y**5/4 - 35*y**4/12 + 10*y**2 + 34*y. Determine i so that q(i) = 0.
-2/3, 1, 2
Suppose -5*j + 5*l + 6 - 1 = 0, -5*j + 2*l = -11. Suppose j*p - 3 - 3 = 0. Let 4*y**2 + 2*y**3 + 0*y + 0*y**p + 2*y = 0. What is y?
-1, 0
Let c(f) = -f**3 - 6*f**2 - 3*f - 9. Let l be c(-6). Suppose 0*p - 2*n + 8 = 5*p, 4*p - n - l = 0. Factor -4 + 2*w - 2*w**p + 4.
-2*w*(w - 1)
Let i(u) be the second derivative of u**9/37800 - u**7/6300 + u**4/2 + 6*u. Let c(v) be the third derivative of i(v). Factor c(d).
2*d**2*(d - 1)*(d + 1)/5
Factor -4*i**3 - i**5 - 2*i**2 - i + i**4 + 5*i**3 + 1 + i**3.
-(i - 1)**3*(i + 1)**2
Let t(u) be the third derivative of u**8/504 - 4*u**7/315 + u**6/30 - 2*u**5/45 + u**4/36 - 2*u**2. Solve t(o) = 0.
0, 1
Let n(l) be the first derivative of -l**8/7560 + l**6/1620 - 4*l**3/3 - 4. Let x(d) be the third derivative of n(d). Factor x(m).
-2*m**2*(m - 1)*(m + 1)/9
Let 26/7*i**3 - 2/7*i**5 - 24/7*i + 0*i**4 + 32/7*i**2 - 32/7 = 0. Calculate i.
-2, -1, 1, 4
Suppose -5 = -2*y - 1. Suppose -y*c + 4 = -0*c. Factor 6*g**3 + 2*g**c - 5*g**4 - 3*g**2 + 2*g - 14*g**3.
-g*(g + 1)**2*(5*g - 2)
Let n(q) be the second derivative of q**8/10080 + q**4/4 + 3*q. Let a(c) be the third derivative of n(c). Find w, given that a(w) = 0.
0
Let v = 5 + -3. Determine d, given that -d**2 + v*d**3 + d**4 - 3*d**2 + 5*d**2 = 0.
-1, 0
Let i = 1 - -1. Let d(w) = -w**3 + 5*w**2 - 2*w - 5. Let k be d(4). Factor -1 + k + 5*o**2 - 4*o**i - 3*o.
(o - 2)*(o - 1)
Let q(w) be the second derivative of -5*w**4/36 + 20*w**3/9 - 40*w**2/3 - 12*w. Factor q(s).
-5*(s - 4)**2/3
Let p = 4 + -2. Suppose 5*i = p + 8. Factor 0*l**i - 1/2*l**4 - l**3 + 1/2 + l.
-(l - 1)*(l + 1)**3/2
Let t = -1 + 1. Suppose -b + 0*b = t. Let -2/7*d - 2/7*d**2 + b = 0. What is d?
-1, 0
Suppose 0*j + j + 3*c + 6 = 0, 3*c + 12 = j. Suppose 0 = -h + j*h - 8. Factor