*d**3 + 0*d - 31 - o.
-5*(d + 1)*(d + 3)**2
Suppose 2 = -k + 4. Let 0 - 32*g**k - 12*g**3 + 0 - 28*g - 4 - 4 = 0. Calculate g.
-1, -2/3
Suppose 15 = -5*t, -3 = -j - t - 1. Suppose -1 = -4*u + 11. Solve -16*n**2 - 2*n**j + u*n**2 - 2*n**5 - 11*n**2 - 21*n**4 - 37*n**3 - 4*n = 0 for n.
-2, -1, -1/4, 0
Let f(j) be the second derivative of -j**5/120 + j**4/36 + 49*j**3/36 - 49*j**2/6 - 490*j - 2. Suppose f(v) = 0. What is v?
-7, 2, 7
Let n(j) be the third derivative of 0 + 0*j + 2/15*j**6 - 1/5*j**5 - 2/3*j**4 + 8/3*j**3 - 2/105*j**7 - j**2. Factor n(f).
-4*(f - 2)**2*(f - 1)*(f + 1)
Let f(g) be the third derivative of 49*g**6/30 - 791*g**5/5 - 228*g**4 - 392*g**3/3 + 210*g**2. Factor f(b).
4*(b - 49)*(7*b + 2)**2
Let v(q) = 3*q**3 - 55*q**2 + 135*q - 66. Let c(i) = -i**3 + 18*i**2 - 45*i + 22. Let p(s) = -17*c(s) - 6*v(s). Factor p(m).
-(m - 22)*(m - 1)**2
Find i, given that -18/5 - 33/5*i - 8/5*i**2 + 2/5*i**4 - 1/5*i**5 + 2*i**3 = 0.
-2, -1, 3
Let n(h) be the third derivative of -h**7/1155 - h**6/220 - h**5/165 + 16*h**2 + 7*h. Solve n(u) = 0.
-2, -1, 0
What is i in -21/5*i + 3/5*i**2 - 36 = 0?
-5, 12
Let d be (-2 - (-50)/20)*0. Let c(i) be the second derivative of d + 4/15*i**3 + 4/25*i**5 + 2/75*i**6 + 1/3*i**4 - 7*i + 0*i**2. Suppose c(v) = 0. What is v?
-2, -1, 0
Let s be 40/10 - 5*2. Let t = s + 9. Factor 7 + 3*w**4 + 2*w**t - w**3 - 3 - w**5 - 7*w**2.
-(w - 2)**2*(w - 1)*(w + 1)**2
Let v be 2/(-8) + (-13)/(-4). Suppose 0 = -v*o - 2*p + 15, 9 = -0*o - o + 4*p. Let 5 - 3 - 16*q + 16*q**o - 6 + 12*q**4 - 8*q**2 = 0. What is q?
-1, -1/3, 1
Let m(p) be the first derivative of -7*p**5/20 - 19*p**4/8 + 3*p**3 + 25*p**2/2 - 21. Let o(b) be the second derivative of m(b). Suppose o(z) = 0. Calculate z.
-3, 2/7
Let s(d) = 9*d**2 - 17*d - 3. Let a be s(-7). Determine x so that 30*x**4 + 2160*x**2 + 322 + a*x + 2160 - 7037*x - x**5 + 5294 - 360*x**3 = 0.
6
Let h(s) be the first derivative of s**8/1176 + s**7/735 - s**6/420 - s**5/210 - 23*s**2/2 - 37. Let o(k) be the second derivative of h(k). Factor o(r).
2*r**2*(r - 1)*(r + 1)**2/7
Suppose 0 = 254*z - 249*z + 225. Let y be ((-18)/45)/((-3)/(z/(-14))). Factor 0*x**3 + 0*x - 3/7*x**4 + y*x**2 + 0.
-3*x**2*(x - 1)*(x + 1)/7
Let k(z) = z**3 - 6*z**2 - 7*z + 3. Let r be k(7). Let d(n) be the second derivative of 1/4*n**4 + 5*n + 0 + 1/6*n**r + 0*n**2. Suppose d(y) = 0. What is y?
-1/3, 0
Let j(v) be the second derivative of 2*v**7/21 + 14*v**6/15 + 11*v**5/5 - 7*v**4/3 - 8*v**3 + 187*v. Suppose j(x) = 0. What is x?
-4, -3, -1, 0, 1
Let -24 - 9*t - 3*t**3 - 7 + 18*t**2 - 6*t - 5 = 0. What is t?
-1, 3, 4
Let f = -4948 - -54432/11. Determine d, given that -10/11*d**2 - f*d + 6/11 = 0.
-1, 3/5
Let z = 265 + -254. Suppose z = 4*w - 1. Factor -3/4 + 3*o**3 - 9/2*o**2 - 3/4*o**4 + w*o.
-3*(o - 1)**4/4
Solve -1027 + 5*d**3 + 20*d**2 - d**4 + 1027 - 7*d**3 - 24*d = 0 for d.
-6, 0, 2
Let k(r) be the third derivative of r**7/315 - r**6/36 - 4*r**5/45 + r**4/3 - 174*r**2. Factor k(n).
2*n*(n - 6)*(n - 1)*(n + 2)/3
Factor 0*l**3 - 21/5*l**2 + 3/5*l**4 - 18/5*l + 0.
3*l*(l - 3)*(l + 1)*(l + 2)/5
Suppose 23 = -5*w + 123. Suppose y = 20 - w. Determine g, given that 2/3*g**3 + y - 2/3*g + 0*g**2 = 0.
-1, 0, 1
What is a in -12/7*a**3 + 0 - 3/7*a**2 + 3/7*a**4 + 12/7*a = 0?
-1, 0, 1, 4
Factor -94*l + l**2 + 93*l - l**2 + l**2 - 12.
(l - 4)*(l + 3)
Solve 0 - 2/7*t**4 + 22/7*t**2 + 12/7*t**5 + 0*t - 32/7*t**3 = 0.
-11/6, 0, 1
Let w = 17515/6 - 2919. Factor 0 + 1/6*u**2 + w*u.
u*(u + 1)/6
Let i(l) be the third derivative of l**5/160 - l**3/16 - 52*l**2. Factor i(t).
3*(t - 1)*(t + 1)/8
Let 64*a**2 - 12*a - 2*a**4 + 12*a**3 + 10 - 136*a**2 + 64*a**2 = 0. What is a?
-1, 1, 5
Let t = 89 + -86. Factor -t*h**3 - 8*h + 21*h**3 - 2 - 10*h + 2*h**2.
2*(h - 1)*(h + 1)*(9*h + 1)
Factor -12*l + 12*l**3 + l**2 + 6 - 3*l**2 + 6*l**2 - 14 + 0*l**2 + 4*l**4.
4*(l - 1)*(l + 1)**2*(l + 2)
Let d(g) be the second derivative of g**6/50 + 33*g**5/100 + 4*g + 5. Factor d(t).
3*t**3*(t + 11)/5
Let 504*b + 7521 + 6195 + 2160 + 4*b**2 = 0. What is b?
-63
Suppose 2*i + i = 0. Suppose 0 = -i*m - 5*m + 15. Factor o**4 + 2*o**3 + 4 + 0*o**2 - 6*o**2 - 2*o**4 - 2*o + m*o**4.
2*(o - 1)**2*(o + 1)*(o + 2)
Factor -24 + 38*y**2 - 14*y**2 - 6*y**2 - 10*y - 17*y**2.
(y - 12)*(y + 2)
Let p be (2/3)/((28/264)/7). Determine h so that 28*h + 2*h**2 + 22*h + 4 - p*h = 0.
-2, -1
Let v(g) be the first derivative of -2*g**5/5 + 10*g**4 - 212*g**3/3 + 204*g**2 - 234*g - 330. Factor v(u).
-2*(u - 13)*(u - 3)**2*(u - 1)
Let t(u) be the first derivative of 2*u**4 + 4*u**3/3 - 4*u**2 - 4*u - 293. Factor t(z).
4*(z - 1)*(z + 1)*(2*z + 1)
Suppose 2*b + 29*l = 298, 4*l - 56 = -2*b - 2*b. What is d in 636/5*d**2 - 344/5*d - 98/5*d**b - 42/5*d**3 + 48/5 = 0?
-3, 2/7, 2
Let v be 74/(-5) - -11 - 4/(-1). Factor 0*m - v*m**3 + 0 + 0*m**2.
-m**3/5
Determine t so that 6*t**2 + 0*t - 52*t**3 + 55*t**3 - 3*t - 6 = 0.
-2, -1, 1
Let u be 4/6 - (-2 + 3/(-9)). Suppose 0 = -5*a - 2*p + 15, 3*p - u = -a - 2*p. Determine b, given that 6/7*b**2 + 2/7 + 6/7*b + 2/7*b**a = 0.
-1
Let z = 1086 + -1079. Let c(y) be the third derivative of 0 + 5/6*y**4 - 7*y**2 - 1/42*y**z - 1/2*y**5 - 5/6*y**3 + 1/6*y**6 + 0*y. Factor c(b).
-5*(b - 1)**4
Let b(a) be the second derivative of -6*a**4 + 23*a**3/2 + 3*a**2 - 26*a. Let f(j) = j**2 - j - 1. Let g(i) = -b(i) - 3*f(i). Factor g(p).
3*(p - 1)*(23*p + 1)
Let q = 3185/2 + -1588. Determine n so that q*n**2 + 3/2*n**4 + 6*n**3 - 6 - 6*n = 0.
-2, -1, 1
Let j = -411 + 415. Let p(z) be the first derivative of -1/35*z**5 + 1/14*z**j + 0*z - 6 - 1/7*z**2 + 1/21*z**3. Determine c so that p(c) = 0.
-1, 0, 1, 2
Let l(a) be the second derivative of a**6/72 - a**5/12 + 5*a**4/24 - 11*a**3/3 - 4*a. Let c(w) be the second derivative of l(w). Suppose c(m) = 0. What is m?
1
Let o be ((-8)/(-138))/((-7)/(63/(-6))). Let i = o + 19/46. Factor i*p + 1/2*p**2 - 1.
(p - 1)*(p + 2)/2
Let a(g) = 2*g - 12. Let z be a(7). Let p(t) be the third derivative of 0*t**3 - t**z + 0*t**4 - 1/210*t**5 + 0 + 0*t. Suppose p(j) = 0. Calculate j.
0
Let v = -56649 - -56651. Let -1/2*z**4 - 1/2*z**3 + 1/2*z + 0 + 1/2*z**v = 0. What is z?
-1, 0, 1
Let g(x) = -x**3 + 3*x**2 + 2*x - 4. Let i be 3*3*(-4)/(-12). Let r be g(i). Find a, given that 4*a**2 - r*a - a - a**2 + 1 - a**3 = 0.
1
Suppose 1 = -u + 2*t, -9 = 341*u - 346*u + 3*t. What is n in -8/3 - 14*n**2 - 16*n + 98/3*n**u = 0?
-2/7, 1
Suppose -4*j + 12 = -2*c, -462*c + 457*c + 3*j - 2 = 0. Suppose 112/9*q - 38/3*q**c + 38/9*q**3 - 32/9 - 4/9*q**4 = 0. What is q?
1/2, 1, 4
Let f(h) = -4*h**4 + 10*h**3 - 21*h**2 + 23*h - 8. Let a(c) = 7*c**4 - 19*c**3 + 41*c**2 - 45*c + 16. Let q(u) = 3*a(u) + 5*f(u). What is n in q(n) = 0?
1, 2
Factor -8/3 + 46/3*l - 20*l**2 - 6*l**3.
-2*(l + 4)*(3*l - 1)**2/3
Factor 680/3*q - 14450/3*q**2 - 8/3.
-2*(85*q - 2)**2/3
Let l = -9 + 14. Suppose -13 = -l*s - h, -2*h - 5 + 1 = -5*s. What is y in -2/11 - 2/11*y**s + 4/11*y = 0?
1
Let q = 2161007/387 + -5584. Let m = q - -5807/774. Let -m*k**3 + 0*k**4 + 0 - 5*k**2 + 0*k + 5/2*k**5 = 0. Calculate k.
-1, 0, 2
Let v(f) be the second derivative of -f**7/14 + 3*f**6/5 - 3*f**5/5 - 6*f**4 + 16*f**3 + 3*f + 12. What is y in v(y) = 0?
-2, 0, 2, 4
Let q(x) be the first derivative of x**6/18 + 2*x**5/5 - x**4/12 - 2*x**3/3 + 98. Factor q(o).
o**2*(o - 1)*(o + 1)*(o + 6)/3
Let g(m) be the third derivative of -m**6/15 + 3*m**5/20 + 5*m**4/8 + 8*m**3/3 - 29*m**2. Let t(h) = -h**3 + 1. Let z(q) = 4*g(q) - 36*t(q). Solve z(n) = 0.
-7, -1
Let d be (-132)/(-143)*104/80. Factor 8/5*a - 2/5*a**2 - d.
-2*(a - 3)*(a - 1)/5
Let g(a) = -a**2 - 9*a - 11. Let t = 3 - 8. Let u be g(t). What is r in 2*r**2 + 1 - 11*r**4 + u*r**4 + 2*r**2 - 3 = 0?
-1, 1
Let l(q) = 2*q**2 + 61*q - 49. Let b(g) = g**2 + 20*g - 17. Let i(p) = -7*b(p) + 2*l(p). Determine n, given that i(n) = 0.
-7, 1
Let m(t) be the third derivative of -t**8/840 + t**7/420 - t**3 + 12*t**2. Let i(z) be the first derivative of m(z). Determine a, given that i(a) = 0.
0, 1
Let h(b) = b**3 - 17*b**2 + 61*b + 75. Let j(n) = -11*n**3 + 186*n**2 - 674*n - 825. Let q(f) = -69*h(f) - 6*j(f). Let q(p) = 0. What is p?
-1, 5, 15
Let y(h) be the third derivative of -h**5/390 + 5*h**4/39 + 7*h**3/13 + 2*h**2 + 34. Determine d, given that y(d) = 0