3*o + 3*i + 10 = 0. Suppose -2*f**4 - o*f + 13*f + 2*f**3 - 2*f = 0. What is f?
0, 1
Let b(f) be the second derivative of f**7/84 - 13*f**6/180 + f**5/15 + f**4/3 + 5*f**3 - 11*f. Let w(j) be the second derivative of b(j). Factor w(i).
2*(i - 2)*(i - 1)*(5*i + 2)
Suppose -2*k - 6*x + x = -7, -3*x = -k + 9. Let o(c) be the first derivative of 0*c + 0*c**4 - 2/9*c**3 - 7 + 1/6*c**2 + 2/15*c**5 - 1/18*c**k. Factor o(r).
-r*(r - 1)**3*(r + 1)/3
Let n = 33 - 6. Factor n*u**3 + u**4 + 26*u**3 - 55*u**3.
u**3*(u - 2)
Let m(b) be the third derivative of -b**6/200 + 7*b**5/30 - 89*b**4/120 + 11*b**3/15 + 44*b**2 - 8*b. Determine o so that m(o) = 0.
1/3, 1, 22
Let t be (99/(-6))/(-2 + (-42)/24). Factor -2*w**2 - t*w + 24/5.
-2*(w + 3)*(5*w - 4)/5
Let m(j) be the second derivative of 2/3*j**3 + 5*j - 1/7*j**7 - 5/6*j**4 + 1/10*j**5 + 0*j**2 + 1/3*j**6 + 0. Let m(s) = 0. Calculate s.
-1, 0, 2/3, 1
Let u(d) = 6*d**3 - d - 5*d + 3*d. Let r(z) = -z**4 - z**3 + z**2. Suppose -j + 4 = -4*y - y, y - 4*j = 3. Let t(c) = y*u(c) - 3*r(c). Factor t(x).
3*x*(x - 1)**2*(x + 1)
Let y(h) = -6*h - 55. Let t be y(-9). Let m be 10/(-4) - (-4 + t). Factor m*c - 1 + 1/2*c**3 - 2*c**2.
(c - 2)*(c - 1)**2/2
Let b(p) be the third derivative of 1/3*p**3 + 0 - 7*p**2 + 0*p - 1/4*p**4 - 2/15*p**5. Factor b(o).
-2*(o + 1)*(4*o - 1)
Let h(u) be the first derivative of 15 - u**5 - 5*u**4 + 10*u**2 + 5/3*u**3 + 0*u. Factor h(c).
-5*c*(c - 1)*(c + 1)*(c + 4)
Let k be (-2)/(-9)*(201 - 183). Let -56/17*g**3 + 10/17*g**5 - 32/17 - 14/17*g**k + 64/17*g**2 + 64/17*g = 0. Calculate g.
-2, -1, 2/5, 2
Let i(v) be the third derivative of 0*v + 0*v**3 + 1/40*v**6 - 1/140*v**7 + 0 + 29*v**2 - 1/40*v**5 + 0*v**4. Determine k so that i(k) = 0.
0, 1
Suppose -2*h = -3*x - 89, -3*x + 57 = 4*h - 94. Let g be h/(-210)*3/(-2). Find c such that -4/7 + g*c + 2/7*c**2 = 0.
-2, 1
Let i = 97 - 94. Suppose -7*t + i*t - 32 = -3*h, -3*h + 22 = -2*t. Determine y so that 0 - 1/3*y**h - 2/3*y**3 + 0*y - 1/3*y**2 = 0.
-1, 0
Factor 0 - 3/2*y**3 - 3/2*y**4 + 11/2*y**2 - 3*y + 1/2*y**5.
y*(y - 3)*(y - 1)**2*(y + 2)/2
Let l = 182 - 180. Let y(t) be the second derivative of -t**l + t + 1/2*t**3 + 0 - 1/12*t**4. Let y(s) = 0. What is s?
1, 2
Let y(b) be the third derivative of -3/4*b**3 + 19*b**2 - 1/4*b**4 - 1/40*b**5 + 0*b + 0. Determine k so that y(k) = 0.
-3, -1
Let c be (3 + -3 - (-19 - -1)) + -2. Let -c + 9*k - 4*k**3 + 138*k**2 - 3*k - 2*k - 122*k**2 = 0. What is k?
-1, 1, 4
Suppose m - 14 = -5*p, 0 = 2*m + 5*p - 14 - 4. Factor -m - 13*k**3 + 17*k**3 + 12*k - 8*k**2 - 4*k**2.
4*(k - 1)**3
Let k(g) = -g**2 + 280*g + 9806. Let h(b) = -3*b**2 + 560*b + 19614. Let f(y) = 3*h(y) - 7*k(y). Factor f(t).
-2*(t + 70)**2
Suppose -5*w + 24 + 11 = 5*c, 3*w = -5*c + 41. Let t be 5 + (c/(-40))/((-9)/(-84)). Solve -2*b**2 + t + 2/3*b**3 + 0*b = 0.
-1, 2
Let o(i) be the first derivative of -i**6/3 - 66*i**5/5 - 363*i**4/2 - 2662*i**3/3 - 47. Factor o(m).
-2*m**2*(m + 11)**3
Let t be (-3 - (-5 - -11)) + 0 + 12. Factor 0*u + 4/3*u**5 - 8/3*u**4 + 0*u**2 + 4/3*u**t + 0.
4*u**3*(u - 1)**2/3
Suppose -10*f + 41 + 9 = 0. Let s(d) be the third derivative of 13/60*d**f + 0*d + d**2 + 0 - 13/24*d**4 + 1/2*d**3 - 1/40*d**6. Factor s(l).
-(l - 3)*(l - 1)*(3*l - 1)
Suppose -2*t = 5*a - 98, a = -5*t - 3*a + 228. Let m = -40 + t. Factor 2/3*u**3 + 2*u**5 + 0*u + 8/3*u**m + 0*u**2 + 0.
2*u**3*(u + 1)*(3*u + 1)/3
What is g in -11 + 7*g**4 + 7*g**4 + 8*g**2 - 10 - 15*g**4 + 5 = 0?
-2, 2
Let q(c) be the third derivative of c**8/672 + c**7/420 - c**6/12 + 2*c**5/15 + 4*c**4/3 - 20*c**3/3 - 28*c**2 + 2. What is o in q(o) = 0?
-5, -2, 2
Let u(o) be the second derivative of 8*o**2 + 0 - 5/3*o**3 - 45*o + 1/12*o**4. Factor u(b).
(b - 8)*(b - 2)
Let x(z) be the first derivative of -2*z**6/3 - 4*z**5/5 + z**4 + 4*z**3/3 + 34. Let x(y) = 0. What is y?
-1, 0, 1
Factor 24*n**2 - 8*n - 16*n - 494*n**4 + 497*n**4 + 21*n**3 - 24*n.
3*n*(n - 1)*(n + 4)**2
Let o(y) be the first derivative of y**5/15 - 2*y**2 + y - 4. Let h(i) be the first derivative of o(i). Let m(s) be the first derivative of h(s). Factor m(z).
4*z**2
Let o(q) = q**2 - 76*q + 252. Let y(d) = 2*d**2 + d. Let v(p) = o(p) + y(p). Factor v(b).
3*(b - 21)*(b - 4)
Let d(l) be the first derivative of 3/20*l**5 - 9*l - 3/2*l**2 + 9/8*l**4 + 9/4*l**3 - 39. Factor d(m).
3*(m - 1)*(m + 2)**2*(m + 3)/4
Suppose 44*k - 42*k = 41*k - 78. Determine j so that 20/3*j - 9/2*j**k - 2 + 5/6*j**3 = 0.
2/5, 2, 3
Let c(z) = -10*z**5 + 20*z**3 - 5*z**2 + 5*z. Let w be (60/(-9))/4 + 14/21. Let v(l) = l**5 + l**2 - l. Let r(n) = w*c(n) - 5*v(n). Let r(s) = 0. Calculate s.
-2, 0, 2
Suppose 26/3*c**2 + 0 + 2/3*c**4 + 16/3*c**3 + 4*c = 0. Calculate c.
-6, -1, 0
Let o be (-2)/(-1 + 5) + 14/4. Suppose 2*k + 4 = k - 2*g, 6 = 3*k - o*g. Factor -3/2*l**3 + 3*l**2 + 0*l + k.
-3*l**2*(l - 2)/2
Let l be ((-8976)/154)/(-17)*(-4)/(-3). Factor -16*b**2 - 18/7*b**4 - l - 2/7*b**5 - 64/7*b**3 - 96/7*b.
-2*(b + 1)*(b + 2)**4/7
Let u(t) be the first derivative of 2*t**3/33 - 4*t**2/11 - 10*t/11 - 39. Factor u(w).
2*(w - 5)*(w + 1)/11
Let z = -16 - -80. Let u be (-239)/(-52) + z/416. What is m in -7/4*m**5 + m**2 - 2*m**3 - u*m**4 + 0 + 0*m = 0?
-2, -1, 0, 2/7
Let n(p) be the first derivative of 0*p**2 + 0*p - 8 - 1/6*p**4 - 10/9*p**3. What is a in n(a) = 0?
-5, 0
Suppose 4*d + 3*m = -0*m + 28, -3*d = -2*m - 4. Find u, given that 0*u - u**3 + d*u - 1 - 3*u + u**2 = 0.
-1, 1
Suppose 0 = -11*a + 54 - 10. Factor -2*c + 28 - 5*c**2 - 13 - 4*c**3 - c**a - 15.
-c*(c + 1)**2*(c + 2)
Find b such that -239*b + 430*b - 72 - 3*b**2 - 236*b - 6 = 0.
-13, -2
Factor 12*f**2 - 1047*f**4 - 24*f**3 + 2096*f**4 - 1046*f**4 + 42*f**2 - 81.
3*(f - 3)**3*(f + 1)
Let z(x) be the first derivative of x**8/840 - x**7/84 + 2*x**6/45 - x**5/15 - 14*x**3/3 + 6. Let v(n) be the third derivative of z(n). Let v(q) = 0. What is q?
0, 1, 2
Let p be (36/(-15))/((-2)/10). Suppose 0*o - 19*o**3 - 9*o**4 - 14*o**3 - p*o - 36*o**2 = 0. What is o?
-2, -1, -2/3, 0
Let y be ((-14)/21 - 0) + 6/8. Let p(j) be the second derivative of -y*j**4 + 0*j**2 + 2*j + 0*j**3 + 0 + 1/42*j**7 + 1/30*j**6 - 1/20*j**5. Factor p(s).
s**2*(s - 1)*(s + 1)**2
Factor 1156*t**2 + 12*t**4 - 136*t**3 + 10*t**4 - 18*t**4.
4*t**2*(t - 17)**2
Let v(c) be the second derivative of 18*c**5/25 - c**4/6 - 41*c**3/15 + 2*c**2 - c - 115. Determine t so that v(t) = 0.
-10/9, 1/4, 1
Let q(n) = -9*n**2 - 3*n + 6. Let j(u) = -187*u**2 + 10*u + 413*u**2 - 200*u**2 - 17. Let b be 1/2 + 22/4. Let f(z) = b*j(z) + 17*q(z). Factor f(g).
3*g*(g + 3)
Let z(w) be the second derivative of w**5/12 + 5*w**4/6 + 10*w**3/3 - 9*w**2/2 - 3*w. Let m(u) be the first derivative of z(u). Factor m(y).
5*(y + 2)**2
Suppose 6 = 2*f + 4*v, 23*f - 20*f = -3*v + 9. Factor 1/4*j**4 + 9/4*j**2 - 7/4*j + 1/2 - 5/4*j**f.
(j - 2)*(j - 1)**3/4
Determine r, given that 5/3*r**3 - 20*r**2 + 0 - 140/3*r = 0.
-2, 0, 14
Let g be (-442)/130 - (4 - 9). Solve -2/5 - 6/5*f + g*f**2 = 0.
-1/4, 1
Suppose 0 = 45*x - 179*x. Let o = -2 + 6. Let 4/17*q**2 - 2/17*q**o + 0*q**3 + x*q - 2/17 = 0. Calculate q.
-1, 1
Suppose -26*q + 12 + 92 = 0. Let b(a) = a**3 - 5*a**2 + 5*a - 2. Let d be b(4). Factor -q*w**4 - 2*w**3 + w + d*w**4 - 2 - 39*w**5 + 4*w**2 + 40*w**5.
(w - 2)*(w - 1)**2*(w + 1)**2
Let g(d) = d**2 - 2*d - 2. Let l(f) = 7 - 14*f**2 + 9*f - 14*f**2 - 11*f**2 + 35*f**2. Let m(b) = 9*g(b) + 2*l(b). Factor m(o).
(o - 2)*(o + 2)
Let g(a) be the second derivative of a**7/63 + 16*a**6/45 + 32*a**5/15 + 72*a. Factor g(n).
2*n**3*(n + 8)**2/3
Let c(v) be the first derivative of v**6/6 - 7*v**5/12 - 35*v**4/12 - 5*v**3/2 + 13*v**2/2 + 10. Let b(d) be the second derivative of c(d). Factor b(m).
5*(m - 3)*(m + 1)*(4*m + 1)
Suppose 0 = 4*l + q + 3115, 2*q + 1561 = -2*l + 5*q. Let t be (-1 - 4) + l/(-133). Factor t*v**2 + 0 - 8/7*v**3 + 2/7*v.
-2*v*(v - 1)*(4*v + 1)/7
Let s(b) be the third derivative of b**6/120 - b**5/30 - b**4/12 + b**3/2 + 37*b**2 - b. Let r be s(0). Factor 0 + 1/3*x**r + 0*x + 1/3*x**4 - 2/3*x**2.
x**2*(x - 1)*(x + 2)/3
Let k(r) be the second derivative of -r**4/24 + 41*r**3/12 - 39*r**2/2 - 111*r. Factor k(o).
-(o - 39)*(o - 2)/2
Let m(g) = 3*g**5 + 6*g**4 + 3*g**3 - 2*g**2 - 2*g. Let t(c) = -12*c**5 - 24*c**4 - 12*c**3 + 9*c**2 + 9*c. Let p(n) 