*w**3/5 - 6*w**2/5 - 10. Solve c(g) = 0.
-2, -1, -2/3, 0
Let k = 60 - 59. Suppose -5/2*c + 5/2*c**3 + c**2 - k = 0. What is c?
-1, -2/5, 1
Let y(v) be the third derivative of -2*v**5/105 + v**4/84 - 7*v**2. Let y(x) = 0. Calculate x.
0, 1/4
Let r(a) be the third derivative of -a**5/60 - a**4/24 - a**3/6 + 4*a**2. Let u(s) = -3*s**2 - s - 2. Let t(b) = -12*r(b) + 3*u(b). Factor t(v).
3*(v + 1)*(v + 2)
Let q(w) be the third derivative of -w**7/7560 + w**6/1080 - w**5/360 - w**4/12 - 3*w**2. Let z(o) be the second derivative of q(o). Factor z(f).
-(f - 1)**2/3
Let s(p) = p**2 + 48*p + 47. Let o(j) = 48*j + 48. Let m(b) = 3*o(b) - 4*s(b). Factor m(n).
-4*(n + 1)*(n + 11)
Let l(t) = 2*t - 60. Let p be l(30). Factor p - 4/9*o**3 + 2/9*o**4 + 0*o**2 + 0*o.
2*o**3*(o - 2)/9
Let l(y) = -4*y**2 - 4*y - 3. Let x(z) = -23*z**2 - 24*z - 18. Let j(d) = -34*l(d) + 6*x(d). Suppose j(a) = 0. Calculate a.
-3, -1
Let z(y) be the first derivative of y**3/12 + 3*y**2/4 + 9*y/4 + 7. Factor z(q).
(q + 3)**2/4
Let i = 30 - 28. Let v(t) be the second derivative of 1/10*t**5 + 0*t**2 - i*t + 1/6*t**4 + 0*t**3 + 0. Factor v(p).
2*p**2*(p + 1)
Let s be 2/4*-3 - (18 - 20). Factor s*j**3 + 0*j**2 + 0 - 1/4*j + 0*j**4 - 1/4*j**5.
-j*(j - 1)**2*(j + 1)**2/4
Find y such that 240/7*y**3 - 8/7 + 76/7*y - 236/7*y**2 = 0.
1/4, 1/3, 2/5
Suppose -2*p**4 - 10*p**3 + 10*p**4 - 3*p**4 = 0. Calculate p.
0, 2
Let s(u) be the second derivative of 0 + 5*u + 0*u**3 + 3/40*u**5 - 1/8*u**4 + 0*u**2. What is p in s(p) = 0?
0, 1
Let f(r) = 35*r**4 - 45*r**3 - 50*r**2 + 44*r + 32. Let i(p) = 12*p**4 - 15*p**3 - 17*p**2 + 15*p + 11. Let x(n) = -3*f(n) + 8*i(n). Factor x(j).
-(j - 2)*(j - 1)*(3*j + 2)**2
Factor 24/5 - 4*p + 4/5*p**2.
4*(p - 3)*(p - 2)/5
Let b(i) be the first derivative of -3 + 0*i**2 + i - 1/4*i**4 - 1/2*i**3. Let d(f) be the first derivative of b(f). Suppose d(m) = 0. What is m?
-1, 0
Let b = 9001/36 - 250. Let a(g) be the second derivative of -1/120*g**5 + 0*g**3 - 2*g + 0 + 0*g**2 - b*g**4. Let a(m) = 0. What is m?
-2, 0
Let o(j) = j**4 - j. Let x(r) = r**4 + 3*r**2 - 4*r. Let t(k) = -4*o(k) + x(k). What is h in t(h) = 0?
-1, 0, 1
Suppose -y + 5*n = 22, 0 = 5*y - 2*n - 2 - 3. What is b in b**5 - 2*b + 2*b**2 - 5/2*b**4 + 1/2 + b**y = 0?
-1, 1/2, 1
Factor -2/3*v**3 + 2/3*v**5 - 2/3*v**4 + 0*v + 2/3*v**2 + 0.
2*v**2*(v - 1)**2*(v + 1)/3
Factor -1/2 - t**2 + 1/4*t**3 + 5/4*t.
(t - 2)*(t - 1)**2/4
Let y be 2/18*5/10. Let c(j) be the second derivative of y*j**4 + 0 + 1/3*j**2 - 2*j + 2/9*j**3. Let c(m) = 0. Calculate m.
-1
Suppose -15*a + 27 = -18. Factor -2/5*t**4 + 1/5*t**a + 1/5*t**5 + 0 + 0*t + 0*t**2.
t**3*(t - 1)**2/5
Let u be 1*(8 - -6) - 9. Suppose -11/5*s**3 - 4/5*s**u + 0*s + 0 + 2/5*s**2 + 13/5*s**4 = 0. What is s?
0, 1/4, 1, 2
Let o(t) be the third derivative of -t**5/120 + t**4/12 - t**3/3 - 4*t**2. Factor o(w).
-(w - 2)**2/2
Let q(f) = f**2 + f + 2. Let x be q(0). Let h(r) be the second derivative of -1/24*r**3 - 1/12*r**4 + 0*r**x + 0 - r. Determine t so that h(t) = 0.
-1/4, 0
Suppose -2*j - 3*j - 4*v = -35, -2*j = -2*v + 4. Factor n**2 + 5*n**4 - n**5 + 1 - j*n**3 - 2*n**4 - 1.
-n**2*(n - 1)**3
Let n(s) be the third derivative of s**5/270 + 5*s**4/27 + 100*s**3/27 + 13*s**2. Factor n(d).
2*(d + 10)**2/9
Factor -24*s + 76*s**2 - 111*s**3 + 30*s**2 + 21*s**4 + 8*s**2.
3*s*(s - 4)*(s - 1)*(7*s - 2)
Solve -18/7 - 92/7*t**2 - 60/7*t**3 - 66/7*t - 18/7*t**4 - 2/7*t**5 = 0.
-3, -1
Let s(r) be the first derivative of r**5/60 + r**4/12 + r**3/6 + 5*r**2/2 - 2. Let u(x) be the second derivative of s(x). Suppose u(b) = 0. What is b?
-1
Let c be 11/(-33) + (-8)/(-6). Factor 3/2*j - 1/2*j**2 - c.
-(j - 2)*(j - 1)/2
Let j(g) = -g - 1. Let r be j(-2). Let w(d) be the first derivative of 2/5*d**2 - r - 2/15*d**3 + 0*d. Factor w(l).
-2*l*(l - 2)/5
Let z = 19 + -17. Let m(w) be the third derivative of 0 + 0*w - 1/270*w**5 - 1/108*w**4 + 0*w**3 - 2*w**z. What is u in m(u) = 0?
-1, 0
Let p(n) be the third derivative of n**8/2016 - n**7/420 + n**6/240 - n**5/360 + 3*n**2. Suppose p(i) = 0. What is i?
0, 1
Suppose 5*x + j = -2*j, -18 = -x + 3*j. Find q, given that -q - 6*q**2 + 4*q + q**x + 2*q**3 + 0*q = 0.
0, 1
Let o be (-92)/21 - 6/(-9). Let i = 59/14 + o. Let -1/2*n**2 + 0 - i*n = 0. What is n?
-1, 0
Let j(p) be the third derivative of -p**8/28 + 3*p**7/70 + p**6/40 - 13*p**2. What is o in j(o) = 0?
-1/4, 0, 1
Find w such that 9 + 1 + 0 - 20*w**2 + 7*w**5 + 10*w**4 - 10*w**3 + 5*w - 2*w**5 = 0.
-2, -1, 1
Let k(j) be the second derivative of -7*j**5/240 + 5*j**4/96 + j**3/12 + j**2/2 + 5*j. Let v(z) be the first derivative of k(z). Suppose v(w) = 0. Calculate w.
-2/7, 1
Let y = -14147/13515 - -53/51. Let f = y + 544/1855. Solve 6/7*m - 4/7 - f*m**2 = 0 for m.
1, 2
Let c = -8 + 8. Let z be (c + 2)*(-3)/(-30). Factor -1/5*r + z*r**3 - 1/5 + 1/5*r**2.
(r - 1)*(r + 1)**2/5
Let d = 4 - 2. Let r be ((-4)/(-6))/(d/9). Solve -3*u**2 + 0*u**2 - u**4 + 0*u - u - r*u**3 = 0 for u.
-1, 0
Suppose 4*z + 2 = 4*h - 6, 24 = 4*z + 4*h. Suppose 4*g + 3*d - z = 0, -g + 0*d - d = 0. What is b in -1/3*b**g + 0*b + 1/3 = 0?
-1, 1
Let j = -11 + 5. Let n be j/(-2) - (-38)/(-14). Let n*z + 8/7*z**2 + 0 = 0. What is z?
-1/4, 0
Determine k so that 228/7*k + 24/7 + 96*k**4 + 1083/7*k**3 + 762/7*k**2 + 21*k**5 = 0.
-2, -1, -2/7
Let w(i) = -i**2 + i + 1. Let j(d) = -12*d**3 + 32*d**2 - 20*d - 16. Let r(p) = j(p) + 16*w(p). Find b, given that r(b) = 0.
0, 1/3, 1
Let k(y) be the first derivative of -4*y**5/5 + y**4 + 4*y**3/3 - 2*y**2 + 14. Factor k(b).
-4*b*(b - 1)**2*(b + 1)
Factor -1/6*p**3 + 1/6 + 1/6*p - 1/6*p**2.
-(p - 1)*(p + 1)**2/6
Suppose 21*a - 27*a = -6. Suppose -a - 3/2*r + r**2 = 0. What is r?
-1/2, 2
Let l(w) be the first derivative of w**6/2 + 9*w**5/5 + 3*w**4/2 - 19. What is d in l(d) = 0?
-2, -1, 0
Let n(q) be the second derivative of 729*q**6/20 + 729*q**5/5 + 135*q**4 + 56*q**3 + 12*q**2 + 3*q. Factor n(c).
3*(c + 2)*(9*c + 2)**3/2
Let f(u) be the third derivative of u**6/180 + u**5/60 + u**3/6 + 2*u**2. Let q(c) be the first derivative of f(c). Factor q(w).
2*w*(w + 1)
Let f(z) = -z + 10. Let r be f(9). Solve -3 - 6*y - 3*y - r - 4*y**2 + y = 0.
-1
Let f(a) = a - 1. Let s(z) = -z - 1. Let p be s(-4). Let m be f(p). Factor -20*w**m - 10*w**4 - 2 - 20*w**3 + w**5 - 10*w + 0*w**5 - 3*w**5.
-2*(w + 1)**5
Factor z**3 - 10*z + 9*z**3 - 12*z**4 + 17*z**4 - 5.
5*(z - 1)*(z + 1)**3
Factor -2/3*u**4 + 0 + 0*u**2 + 0*u + 2/3*u**3 - 4/3*u**5.
-2*u**3*(u + 1)*(2*u - 1)/3
Suppose 3*s + 15 = -0*s. Let q = -3 - s. Solve 12/7*d**q - 2/7*d**3 - 24/7*d + 16/7 = 0.
2
Let s(b) be the third derivative of -7*b**6/660 - 2*b**5/55 - b**4/44 + 2*b**3/33 - 17*b**2. Factor s(l).
-2*(l + 1)**2*(7*l - 2)/11
Suppose 12*h**2 - 56*h + 60 - 2*h**4 + 18*h**3 - 11 - 1 - 12*h**3 = 0. Calculate h.
-3, 2
Suppose 9*v = 3*v. Let 4*j**2 + 2*j**3 + 7*j + 0*j**3 - 5*j + v*j**3 = 0. Calculate j.
-1, 0
Let y = 71 - 65. Let h(u) be the second derivative of -2*u**2 + 0 - 125/84*u**7 - 19/12*u**4 + 3*u + 23/8*u**5 - 11/3*u**3 + 5/3*u**y. Factor h(d).
-(d - 1)**2*(5*d + 2)**3/2
Let d(b) = b**2 + 4. Let p(j) = 2*j**2 + j + 3. Let o(a) = 3*d(a) - 4*p(a). Let f(w) = -w**2. Let y(c) = -3*f(c) + o(c). Suppose y(m) = 0. Calculate m.
-2, 0
Let h(t) be the third derivative of -t**2 - 1/3*t**3 + 0 + 1/30*t**5 + 0*t - 1/60*t**6 + 1/12*t**4. Factor h(l).
-2*(l - 1)**2*(l + 1)
Let n(p) be the first derivative of -8 + 13/24*p**3 + 1/2*p + 3/4*p**2 + 1/40*p**5 + 3/16*p**4. Find h such that n(h) = 0.
-2, -1
Let g(h) be the second derivative of h**4/6 - h**3/3 + 21*h. Solve g(y) = 0.
0, 1
Let w(i) be the third derivative of i**7/1050 - i**5/300 - 8*i**2. Factor w(m).
m**2*(m - 1)*(m + 1)/5
Let m(c) be the first derivative of -c**5 - 5*c**4 - 10*c**3 - 10*c**2 - 5*c + 16. Find i, given that m(i) = 0.
-1
Suppose 4*b - 5*m = -10*m + 29, 0 = -2*b + 5*m - 23. Factor 0*k**2 + b - 3 - 2*k**4 + 4*k**2.
-2*(k - 1)**2*(k + 1)**2
Let b(r) = r**2 - 2*r - 4. Let o be b(-2). Suppose m + 3*g - 8 = 0, -2 = 4*m - 9*g + o*g. Factor -1/2*w + 1/2*w**m - 1.
(w - 2)*(w + 1)/2
Suppose 0 = 3*r - 9*r. Let v(i) be the third derivative of 3*i**2 + r*i + 0*i**3 - 1/54*i**4 + 0 - 1/135*i**6 + 1/30*i**5. Factor v(m).
-2*m*(m - 2)*(4*m - 1)/9
Suppose z + 3*z - 16 = 0. Factor z*v**3 - v