*y**2 + 0 - 10*y. Factor p(g).
g**3*(g - 1)*(7*g + 2)
Let p = 50 + -46. Let a(m) be the first derivative of 0*m - 1/12*m**p + 1/5*m**5 + 1/3*m**2 - 5 - 1/18*m**6 - 1/3*m**3. Solve a(o) = 0.
-1, 0, 1, 2
Let s be (-120)/(-27) + 4 - (-13 + 21). Let g(d) be the first derivative of 15 + 4/3*d - s*d**3 + 0*d**2. Factor g(n).
-4*(n - 1)*(n + 1)/3
Let y be (-6)/9*12/(-16)*4. Factor 12*t + 2*t**y + t**2 - 9*t - 6*t.
3*t*(t - 1)
Let f(s) be the first derivative of 5/6*s**6 + 15*s - 15/2*s**4 + 3 - 10/3*s**3 + 25/2*s**2 - s**5. Suppose f(m) = 0. What is m?
-1, 1, 3
Factor 6/5*g**2 - 2/3*g**3 + 4/15*g + 0.
-2*g*(g - 2)*(5*g + 1)/15
Let g be (-365)/(-2) + 36/24. Let y be 20/5 + -8 + g. Suppose -24*i - 7*i**2 - y + 192 - 56*i**2 + 21*i**4 - 6*i**3 = 0. Calculate i.
-1, 2/7, 2
Let g = -4533/13 - -349. Factor 2/13*d**3 - 8/13*d - g*d**2 + 16/13.
2*(d - 2)**2*(d + 2)/13
Suppose -294 = -2*x + 2*r, x - 197 = 2*r - 53. Let y be (-10)/18*(-360)/x. Find a, given that 0 + 1/3*a**3 - 4/3*a**2 + y*a = 0.
0, 2
Let c(g) be the first derivative of -g**3/3 - 7*g**2 + 3*g + 10. Let r be c(-14). Let 6*u**4 + 17*u**2 - 2*u + 19*u**3 + 3*u - u**2 + r*u = 0. What is u?
-2, -2/3, -1/2, 0
Factor -11*j + 61*j**3 - 21*j - 36 - 34*j**3 - 5*j**2 - 26*j**3.
(j - 9)*(j + 2)**2
Factor -3*j - j**2 - 33*j - 3*j**2 + 0*j**2.
-4*j*(j + 9)
Factor -46*d - 39*d - 10*d**3 - 52*d**2 - 3*d**2 - 16 - 14.
-5*(d + 2)*(d + 3)*(2*d + 1)
Let t(r) = -r**2 + 32*r - 85. Let f be t(29). Let y(b) be the first derivative of -1/2*b**f - 3/2*b**4 + 0*b - 1/2*b**5 - 3/2*b**3 - 4. Factor y(h).
-h*(h + 1)**2*(5*h + 2)/2
Let t(l) = 138*l**3 + 1994*l**2 - 15962*l + 25990. Let z(b) = b**4 - 413*b**3 - 5982*b**2 + 47887*b - 77969. Let y(v) = 7*t(v) + 2*z(v). Factor y(i).
2*(i - 3)**2*(i + 38)**2
Suppose 8*y = 3*y + 20. Let 4*b**5 + 7*b**y + 4*b**3 + 0*b**4 - 6*b**3 = 0. What is b?
-2, 0, 1/4
Let d(t) be the third derivative of t**5/630 - t**4/126 - 16*t**3/21 - 10*t**2 - 1. Suppose d(x) = 0. Calculate x.
-6, 8
Let t be (13 + -8)/(-5) + -1 + 4. Factor -4/3 - 1/3*g**t + 4/3*g.
-(g - 2)**2/3
Suppose 5 - 9 = 2*h. Let l = 10/3 + h. Determine s so that -52/3*s**3 + 16*s**2 - 2*s**5 + l + 28/3*s**4 - 22/3*s = 0.
2/3, 1
Let l = -294 - -884/3. Let -l*k**2 - 1/3*k + 1/3*k**3 + 1/6 + 1/2*k**4 = 0. Calculate k.
-1, 1/3, 1
Let q = 1933 + -172039/89. Let h = q + 93/178. Solve -5/6*c**2 + 1/6*c**3 + 7/6*c - h = 0.
1, 3
Let r(q) = 3*q**3 - 4*q + 4. Let j(k) = -5*k**3 + k**2 + 7*k - 7. Let n be 18/(-3) - (1 + -3). Let a(d) = n*j(d) - 7*r(d). Factor a(o).
-o**2*(o + 4)
Let m(y) = -2*y + 48. Let d be ((-46)/10)/(14/(-70)). Let z be m(d). Suppose 8*i**2 - 8/3*i - 10/3*i**4 - z*i**3 + 0 = 0. What is i?
-2, 0, 2/5, 1
Let r(q) be the first derivative of q**6/12 + 11*q**5/10 + 39*q**4/8 + 15*q**3/2 + 310. Factor r(h).
h**2*(h + 3)**2*(h + 5)/2
Let f(v) = 4*v + 3. Let h be f(1). Suppose 17*k - h*k - 40 = 0. Factor -6/7*w**3 - 12/7*w + 4/7 + 1/7*w**k + 13/7*w**2.
(w - 2)**2*(w - 1)**2/7
Let d(l) be the first derivative of l**4/4 + 2*l**3 + 9*l**2/2 + 4*l - 302. Let d(c) = 0. What is c?
-4, -1
Let v(t) be the third derivative of -1/150*t**5 + 11*t**2 + 0*t + 0 - 2/15*t**3 + 1/20*t**4. Factor v(c).
-2*(c - 2)*(c - 1)/5
Solve 2/3*k**2 - 112/3*k + 72 = 0 for k.
2, 54
Suppose 30*h - 34*h = 5*d - 12, -h + 3 = -3*d. Suppose d*y**2 + 0*y - 1/3*y**4 + 1/6*y**5 + 0 + 1/6*y**3 = 0. What is y?
0, 1
Let q(x) = x**3 + 4*x**2 - 13*x - 3. Let c be q(-6). Let a = 47 - 32. Factor -a*j + 3*j**2 - 8 + 24 + 11 - c*j.
3*(j - 3)**2
Let f = 31 + -19. Let p = 3 + f. Let 0*u**2 + u**4 - u**2 + p*u**3 - 15*u**3 = 0. Calculate u.
-1, 0, 1
Let n(p) be the third derivative of -p**7/42 + p**5/2 + 5*p**4/3 + 5*p**3/2 - 2*p**2 + 55. Factor n(k).
-5*(k - 3)*(k + 1)**3
Let u = -3 - -5. Let n be 4/24*-1 + 4/6. Factor -u*b + 0*b**2 + 0 + 3/2*b**3 - n*b**4.
-b*(b - 2)**2*(b + 1)/2
Let d(q) = -q + 48. Let z be d(21). Let f be (196/45)/7 + (-6)/z. What is j in f*j + 2/5*j**2 - 4/5 = 0?
-2, 1
Find q, given that -12*q - q**2 - 27*q + 99*q - 112 - q**2 = 0.
2, 28
Let l(g) = -g**2 - g + 1. Let m = -8 - -8. Let h(b) = -3 + 6*b**2 + 3 + m*b - 5*b**3 - 6*b + 2. Let f(i) = h(i) - 3*l(i). Factor f(s).
-(s - 1)**2*(5*s + 1)
Let i be 0 + (-4 - -1) + 0. Let h(m) = m + 7. Let o be h(i). Let 2*p**4 - o*p + 3*p - 2*p**3 + p = 0. What is p?
0, 1
Let b = 1067 - 5333/5. Factor 6/5*c + 2/5 - 6/5*c**4 + 4/5*c**2 - 4/5*c**3 - b*c**5.
-2*(c - 1)*(c + 1)**4/5
Let n(x) = x**3 + 7*x**2 - 13*x - 113. Let w be n(-5). Find v, given that 4/9*v**w + 0 + 28/9*v = 0.
-7, 0
Let p(k) = 41*k**3 + 57*k**2 - 290*k - 489. Let s(x) = 10*x**3 + 14*x**2 - 72*x - 122. Let o(z) = -2*p(z) + 9*s(z). Factor o(f).
4*(f - 3)*(f + 2)*(2*f + 5)
Let j be ((-36)/(-90))/(43/(-15) + 3). Factor 0*m**2 + 1/7*m**j - 2/7 - 3/7*m.
(m - 2)*(m + 1)**2/7
Suppose 4*x - 6*x + 6 = 2*n, 0 = n - 3. Suppose x = -2*z - z. Factor -1 + z*u**2 - u**2 - 3 + 2*u + 2*u.
-(u - 2)**2
Suppose -7*t - t + 64 = 0. Factor -33*g**2 + 102*g**3 - 26*g**2 - 3*g**5 - 30 - 109*g**2 - t*g**4 + 117*g - 10*g**4.
-3*(g - 1)**4*(g + 10)
Suppose 7*a = 2*a + 30. Suppose -8*w + 6 = -a*w. Let k**2 + 0 - 6*k - w*k**2 - 4 = 0. Calculate k.
-2, -1
Let m be (-74)/(-258)*(-210)/20 - -3. Let z = 65/43 + m. Suppose -z*d**2 + 0 + 0*d = 0. Calculate d.
0
Let m(i) be the third derivative of 0*i**5 + 0*i + 1/5*i**3 - 5 + 4*i**2 + 7/120*i**4 - 1/600*i**6. Solve m(s) = 0.
-2, -1, 3
Factor 1/9*i**2 - 1/9*i**3 + 0 + 0*i.
-i**2*(i - 1)/9
Let u(h) be the second derivative of -5*h**7/84 + h**6/12 + h**5/4 - 5*h**4/12 - 5*h**3/12 + 5*h**2/4 - 2*h + 11. Factor u(q).
-5*(q - 1)**3*(q + 1)**2/2
Suppose -4*w + 52 = 2*l - 16, 2*w = l + 26. Suppose -2*f - w = -7*f. Factor 5*s - 24*s**f + 42*s**3 + 15*s**2 - 5*s**4 - 23*s**3 - 10.
-5*(s - 1)**2*(s + 1)*(s + 2)
Let y(b) be the third derivative of -b**7/5040 + b**6/288 - b**5/40 - 9*b**4/8 - 5*b**2. Let z(g) be the second derivative of y(g). Factor z(o).
-(o - 3)*(o - 2)/2
Factor -2/3*v + 74/3*v**2 - 74/3 + 2/3*v**3.
2*(v - 1)*(v + 1)*(v + 37)/3
Suppose 50*a + 3*a = 0. Let m(d) be the second derivative of -3/80*d**5 + a - 10*d + 81/8*d**2 - 27/8*d**3 + 9/16*d**4. Factor m(b).
-3*(b - 3)**3/4
Let v(b) = 7*b**3 - 28*b**2 + 23*b + 62. Let r(i) = -i**3 - i**2 + i - 1. Let l(a) = 2*r(a) + v(a). What is g in l(g) = 0?
-1, 3, 4
Let w(p) = -p**3 + 1. Let m(c) be the first derivative of 4*c**3/3 + 4*c**2 - 18*c - 11. Let j(i) = m(i) + 2*w(i). Suppose j(q) = 0. Calculate q.
-2, 2
Let -70/9*h + 98/9 - 2/9*h**3 - 26/9*h**2 = 0. Calculate h.
-7, 1
Suppose 397 = 13*p + 371. Factor -3/2*a**p - 9/2*a + 0.
-3*a*(a + 3)/2
Factor 34/7 - 34/7*j**2 - 2/7*j**3 + 2/7*j.
-2*(j - 1)*(j + 1)*(j + 17)/7
Let c(b) = 164*b + 1806. Let m be c(-11). Factor -3*u - 18/7 + 9/7*u**m.
3*(u - 3)*(3*u + 2)/7
Let g(z) be the second derivative of -1/240*z**6 + 0*z**2 + 1/80*z**5 + 1/96*z**4 + 9*z + 0*z**3 - 1/168*z**7 + 0. Determine x so that g(x) = 0.
-1, -1/2, 0, 1
Let d = 2325 + -2320. Let i(b) be the third derivative of 0 + 0*b**4 - 1/490*b**7 + 1/140*b**d + 0*b - 2*b**2 + 0*b**3 - 1/280*b**6 + 1/784*b**8. Factor i(p).
3*p**2*(p - 1)**2*(p + 1)/7
Solve 87*l - 5635 + 2819 + 2816 + l**2 = 0 for l.
-87, 0
Let r(p) = -3*p**2. Let u(w) = 28*w**2 + 14*w. Let f(q) = -18*r(q) - 2*u(q). Find d, given that f(d) = 0.
-14, 0
Suppose 3*n - 5*d - 52 = 39, n - 3*d - 33 = 0. Let a be (1 + 2)*(-2)/(-3). Factor -3 + 15*r + n*r**a - 3 + 6*r.
3*(r + 1)*(9*r - 2)
Let z = -211 - -211. Factor 0*k**3 + z*k**2 + 0*k + 1/5*k**4 - 1/5*k**5 + 0.
-k**4*(k - 1)/5
Find k, given that -2*k**2 + 22/5*k - 2/15*k**3 - 34/15 = 0.
-17, 1
Let m be 21/12 + 3/12. Suppose -2*h = -2*b - m, -3*h - h - b = -14. Let -5*g**3 + 4 - 10*g + 4*g**2 + 8*g**3 - 5*g**h + 4*g**2 = 0. What is g?
1, 2
Let w be (-4)/(4 - 6)*2. Factor w*y**2 - 113 + 6*y + 121 + 6*y.
4*(y + 1)*(y + 2)
Let d(g) be the first derivative of 0*g + 2/5*g**5 + 6/7*g**4 - 1 + 2/7*g**3 - 2/7*g**2. Suppose d(k) = 0. What is k?
-1, 0, 2/7
Factor -822*d**5 - 3*d**4 + 9*d**4 + 819*d**5 - 6*d**2 + 3*d.
-3*d*(d - 1)**3*(d + 1)
Let h(l) be the second derivative of -l**5/50 - l**4/12 + 2*l**3/15 + 5*l**2/2 - l. Let m(p) be the first derivative of h(p). Factor m(w).
-2*(w + 2)*(3*w - 1)/5
Let h(r) be the first derivative of 1/20*r**5 + 0*r + 3*r**2 - r**3 + 1/8*r**4 + 1. Let x(