 6 + 22*p + 9*p + 5*p + 30*p**2. Let j(f) = 31*f**2 + 37*f + 6. Let z(d) = -3*j(d) + 2*l(d). Factor z(r).
-3*(r + 1)*(11*r + 2)
Let h = -102 + 169. Let b = -334/5 + h. Factor 0 - 1/5*j + b*j**2.
j*(j - 1)/5
Let k(v) be the third derivative of -v**5/60 + v**3/6 - 4*v**2. Factor k(n).
-(n - 1)*(n + 1)
Let m(j) be the third derivative of -j**7/630 - j**6/72 - j**5/20 - 7*j**4/72 - j**3/9 - j**2. Find a such that m(a) = 0.
-2, -1
Let n(k) be the third derivative of -k**6/120 - 9*k**5/10 - 81*k**4/2 - 972*k**3 + 5*k**2. Factor n(f).
-(f + 18)**3
Let h = 54 + -52. Let s(v) be the third derivative of 0*v + v**h - 1/330*v**5 - 1/33*v**3 + 0 + 1/66*v**4. Factor s(g).
-2*(g - 1)**2/11
Solve -12/5 + 5*w**2 - 2/5*w**3 + 28/5*w - 3/5*w**4 = 0.
-2, 1/3, 3
Let k(u) be the third derivative of u**7/70 + 3*u**6/40 + 3*u**5/20 + u**4/8 + 14*u**2. Factor k(x).
3*x*(x + 1)**3
Let d(u) = 2*u - 8. Let a be d(5). Let r(m) be the first derivative of 1/2*m - 1/8*m**a - 1/12*m**3 - 1. Factor r(z).
-(z - 1)*(z + 2)/4
Let h(b) = -b**3 + b**2 + b + 1. Let v(u) = 16*u**3 - 12*u**2 - 6*u - 2. Let j(n) = -2*h(n) - v(n). Determine s so that j(s) = 0.
-2/7, 0, 1
Let b = 79 + -157/2. Find g, given that 1/2 + 0*g - b*g**2 = 0.
-1, 1
Let q = 522 - 2602/5. Suppose -8/5*g - q - 2/5*g**2 = 0. Calculate g.
-2
Factor 15*u**3 + 4*u + 5*u**2 - 11*u**3 + 3*u**2.
4*u*(u + 1)**2
Let v(u) be the first derivative of -u**6/15 - 4*u**5/25 + u**4/5 + 16*u**3/15 + 7*u**2/5 + 4*u/5 + 22. Determine l, given that v(l) = 0.
-1, 2
Let i(o) be the second derivative of -o**6/120 + o**5/20 - 2*o**3/3 + o**2 + 8*o. Let u(c) be the first derivative of i(c). Solve u(h) = 0 for h.
-1, 2
Let i(y) be the third derivative of y**8/84 - 4*y**7/105 + 2*y**5/15 - y**4/6 + 5*y**2. Let i(b) = 0. Calculate b.
-1, 0, 1
Let v(q) be the first derivative of 0*q + 2/15*q**3 - 3 + 2/5*q**2. Factor v(u).
2*u*(u + 2)/5
Let f(z) be the second derivative of z**4/18 + 2*z**3/3 + 5*z**2/3 - 39*z. Find n, given that f(n) = 0.
-5, -1
Let g(t) = -8*t**2 + 9*t + 8. Let h(l) be the first derivative of -2*l**3/3 + l**2 + 2*l + 11. Let j(c) = 2*g(c) - 9*h(c). Factor j(w).
2*(w - 1)*(w + 1)
Let x = -2 - -4. Suppose -a + x - a**2 - 2*a + 2*a = 0. Calculate a.
-2, 1
Let o(m) be the first derivative of -m**4/4 - 8*m**3/3 + 9*m**2/2 - 42. Factor o(z).
-z*(z - 1)*(z + 9)
What is c in 1355*c - 2*c**3 - 5*c**2 - 1353*c + 5*c**2 = 0?
-1, 0, 1
Let j(h) be the second derivative of 0 - 8*h - 1/80*h**5 + 5/48*h**4 - 9/8*h**2 - 1/8*h**3. Factor j(z).
-(z - 3)**2*(z + 1)/4
Let k = -35 + 37. Let c(h) be the first derivative of -2/3*h + 2/3*h**2 + k - 2/9*h**3. Solve c(j) = 0 for j.
1
Let a(h) = -h + 4. Let v be a(4). Let j(g) be the first derivative of -2/15*g**3 + 0*g**2 + 1 + v*g. What is f in j(f) = 0?
0
Let m(g) = -4*g**3. Let w(j) = -4*j**3 + j**2 - j - 1. Let t(z) = 5*m(z) - 4*w(z). Factor t(k).
-4*(k - 1)*(k + 1)**2
Factor -10 + 3*g**2 + 15 + 7*g - 1 + g.
(g + 2)*(3*g + 2)
Factor -3/4*v**2 + 0 - 3/4*v.
-3*v*(v + 1)/4
Suppose -1/6*k**2 + 0 - 1/6*k = 0. What is k?
-1, 0
Let d(n) = n**3 + 4*n**2 + 3*n + 1. Let m(v) = -v + 1. Let i be m(3). Let j be d(i). Factor 0*o**j - 4/7*o**2 + 0*o + 2/7 + 2/7*o**4.
2*(o - 1)**2*(o + 1)**2/7
Let y = -302 - -304. Solve -1/2*o + 0 + 1/4*o**y = 0 for o.
0, 2
Factor -15*t**3 + 3*t**2 - 7*t**2 + t**4 - 4*t**4 - 6 - 23*t**2 - 21*t.
-3*(t + 1)**3*(t + 2)
Let 2*o**2 + 24*o - 9*o - 13*o = 0. What is o?
-1, 0
Solve 4/7*q - 6/7*q**3 + 0 - 6/7*q**2 + 4/7*q**4 = 0 for q.
-1, 0, 1/2, 2
Suppose 3 = -3*x, 2*w - 2*x = -3*w + 12. Factor 0 + 1 + 3 - 2 - 4*f + w*f**2.
2*(f - 1)**2
Let t(k) be the third derivative of 0*k + 1/60*k**4 - 1/150*k**5 - 1/300*k**6 + 1/15*k**3 - 2*k**2 + 0. Factor t(n).
-2*(n - 1)*(n + 1)**2/5
Let v(q) = -q**4 + q**3 + q + 1. Let t(f) = 5*f**4 - f**3 + 7*f**2 - 11*f - 8. Let z(p) = -5*t(p) - 40*v(p). What is m in z(m) = 0?
-1, 0, 1/3, 3
Let o(l) be the first derivative of -7 - 7/16*l**4 + 0*l - 1/6*l**3 + 0*l**2. Factor o(j).
-j**2*(7*j + 2)/4
Let j(w) be the first derivative of w**7/1260 + w**6/180 + w**5/120 - w**4/36 - w**3/9 + 2*w**2 + 5. Let o(i) be the second derivative of j(i). Factor o(x).
(x - 1)*(x + 1)*(x + 2)**2/6
Let a be (-200)/(20/4) + -3. Let u = -38 - a. Solve -6/5*m**4 + 2/5 + 4/5*m**3 + 2/5*m**u - 6/5*m + 4/5*m**2 = 0 for m.
-1, 1
Let -2/3*y**2 - 2/3 + 4/3*y = 0. Calculate y.
1
Let 4*d + 114*d**3 + d**2 + 3*d**2 - 122*d**3 = 0. Calculate d.
-1/2, 0, 1
Let k(v) = -36*v**2 + 40*v + 60. Let m(i) = -7*i**2 + 8*i + 12. Let s(b) = 3*k(b) - 16*m(b). Solve s(c) = 0 for c.
-1, 3
Suppose -38 + 9 = -a - 5*p, -3*a = -2*p - 2. Let -5 - a*v**3 - v**2 + 2*v + 2*v**5 + v**2 - 8*v**2 + 9 + 4*v**4 = 0. What is v?
-2, -1, 1
Let d(g) be the first derivative of 2/9*g**3 - 2 - 4/45*g**5 + 1/18*g**4 - 2/9*g - 1/9*g**2. Determine w so that d(w) = 0.
-1, -1/2, 1
Let f(z) be the first derivative of -z**5/40 + z**4/6 - 5*z**3/12 + z**2/2 - 2*z - 3. Let d(n) be the first derivative of f(n). Factor d(j).
-(j - 2)*(j - 1)**2/2
Let a(c) = 2*c**2 + 5*c + 4. Let f be a(-2). Factor 1/3*k**3 - k + 0*k**f + 2/3.
(k - 1)**2*(k + 2)/3
Let r(x) be the third derivative of x**7/42 + 5*x**6/24 + x**5/3 - 2*x**2. Solve r(o) = 0 for o.
-4, -1, 0
Let q be (-2)/(-9) + 14/126. Solve -q*z**3 + 1/3*z + 1/3*z**2 - 1/3 = 0 for z.
-1, 1
Let n be 14 + (-3 - -3) + -3. Let r = 11 - n. Factor -2/5*j**2 + 0 + r*j.
-2*j**2/5
Let y(o) be the first derivative of o**6/9 - 4*o**5/15 + o**4/6 - 7. Determine l so that y(l) = 0.
0, 1
Let v(r) = -3 - 4 + 0 + r. Let i be v(7). Determine j, given that -j**2 - 1 + i + 2 = 0.
-1, 1
Let v(g) = 9*g**3 + 33*g**2 - 9*g - 33. Let c(j) = j**3 + 4*j**2 - j - 4. Let u(s) = 51*c(s) - 6*v(s). Factor u(f).
-3*(f - 2)*(f - 1)*(f + 1)
Let g = 428/19875 - 1/375. Let o = g + 99/371. Factor 0 + 2/7*t**2 + 0*t - 10/7*t**4 + o*t**3 + 6/7*t**5.
2*t**2*(t - 1)**2*(3*t + 1)/7
Let k(t) = 35*t**5 - 10*t**4 + 50*t**3 + 20*t**2 - 55*t + 20. Let y(l) = -l**5 + l**4 - l**3 - l**2 + l - 1. Let v(b) = -k(b) - 30*y(b). Factor v(a).
-5*(a - 1)*(a + 1)**3*(a + 2)
Let z(n) = 12*n**3 - n**2 + n. Let s be z(1). Let r be (1/18)/(3/s). What is y in -r*y**2 + 4/9*y - 2/9 = 0?
1
Factor -11 - 8*u - 7*u + 1 - 5*u**2 + 0.
-5*(u + 1)*(u + 2)
Let p be (-2 - 11/(-1)) + -3. Let u be (p + -2 + -2)/4. Factor -3/2*j**3 + 0 - 3/2*j**2 - u*j - 1/2*j**4.
-j*(j + 1)**3/2
Let b = 43/6 + -7. What is d in -b - 1/6*d**2 + 1/3*d = 0?
1
Factor 8/5*g**2 + 4/5 + 2*g + 2/5*g**3.
2*(g + 1)**2*(g + 2)/5
Let h be (5/7)/((-2)/(-7)). Suppose -1 = f - m + 1, 4*f + m = 12. Suppose 1/2 + h*a + 2*a**f = 0. What is a?
-1, -1/4
Let l(p) be the third derivative of 2*p**7/35 + 4*p**6/105 - 4*p**5/105 + 8*p**2. Factor l(c).
4*c**2*(3*c + 2)*(7*c - 2)/7
Let r(j) be the third derivative of -5/56*j**4 + 0*j + 41/280*j**6 + 3/70*j**7 + 0 + 17/140*j**5 - 1/7*j**3 - 5*j**2. What is m in r(m) = 0?
-1, -2/7, 1/3
Let m = -949 - -23729/25. Let b(j) be the first derivative of -1/5*j**2 + 1/15*j**6 - 4/15*j**3 + 0*j**4 + m*j**5 + 0*j - 1. Factor b(c).
2*c*(c - 1)*(c + 1)**3/5
Let z = 2/97 + 281/485. Factor 3/5*k + 3/5*k**5 + z*k**4 - 6/5*k**2 + 3/5 - 6/5*k**3.
3*(k - 1)**2*(k + 1)**3/5
Suppose -5*c = -2*c + 2*m - 20, 2*m + 8 = 4*c. What is q in -2 + c*q**2 + 0*q + 7*q + 0*q = 0?
-2, 1/4
Let f(p) be the first derivative of -p**3/3 + p**2/2 + 2*p + 2. Let f(x) = 0. What is x?
-1, 2
Let p be 9 - 9/3 - 3. Factor p*t**3 - 4*t - 5*t - 3*t**2 + 3*t + 0*t**2.
3*t*(t - 2)*(t + 1)
Let d(l) be the third derivative of 0*l + 1/20*l**5 - 3*l**2 - 1/8*l**4 + 0*l**3 + 0. Factor d(g).
3*g*(g - 1)
Suppose 4*m = -5*l + m + 19, l - 5*m = 15. Suppose 3*g**4 - 3/4*g**3 + 0*g + 0 - 1/2*g**2 - 7/4*g**l = 0. What is g?
-2/7, 0, 1
Find s such that -11 - 12*s**2 + 40*s + 6 - 7 = 0.
1/3, 3
Let y(z) be the third derivative of -z**8/756 + 2*z**7/105 - z**6/9 + 46*z**5/135 - 11*z**4/18 + 2*z**3/3 + 3*z**2. Factor y(x).
-4*(x - 3)**2*(x - 1)**3/9
Let g(n) be the first derivative of n**3 - 2*n**2 + n + 10. Factor g(x).
(x - 1)*(3*x - 1)
Let s(v) be the second derivative of -v**4/8 + 5*v**3/4 - 3*v**2 - 43*v. Suppose s(p) = 0. What is p?
1, 4
Let a = 31/57 - 4/19. Let x(l) be the first derivative of a*l**6 + l**4 + 4/3*l**3 - 6/5*l**5 - 3*l**2 + 2*l + 1. What is b in x(b) = 0?
-1, 1
Let m = -21 - -34. Suppose -q**4 - 4*q