that n*u**2 + 0 - 20/3*u**3 - 16/3*u = 0.
0, 1/5, 4
Let a(y) = -11*y**2 + 2*y + 1 + 3 + 12*y**2. Let q be a(0). What is f in -f**2 - 9*f**2 + 3*f**4 + 2*f**q + 5 + 0*f**4 = 0?
-1, 1
Let w(h) be the second derivative of h**6/50 - 3*h**5/50 - h**4/20 + h**3/5 - 78*h. Factor w(g).
3*g*(g - 2)*(g - 1)*(g + 1)/5
Let x = 4079/9534 + 1/1362. Determine m so that 0 + 6/7*m + 3/7*m**2 - x*m**3 = 0.
-1, 0, 2
Let j(g) be the second derivative of -g**4/78 - 40*g**3/39 - 400*g**2/13 + 69*g. Solve j(r) = 0.
-20
Let w(f) be the second derivative of -2*f - 5/12*f**4 + 2*f**2 + 4/3*f**3 + 0. Factor w(o).
-(o - 2)*(5*o + 2)
Let c(d) be the second derivative of d**4/30 + d**3/3 + 6*d**2/5 - 43*d - 2. Factor c(s).
2*(s + 2)*(s + 3)/5
Let v be 5*(2 + -3 + 2). Determine y so that -v*y**3 + y**3 + 83*y**2 - 91*y**2 = 0.
-2, 0
Solve 0*f + 1/9*f**3 + 0 + 0*f**2 - 1/9*f**4 = 0.
0, 1
Suppose -6*c + 60 = 6*c. Let g be c + (-5 - (-270)/24). Let 5/2 - 25/4*j**3 + g*j**2 - 35/4*j + 5/4*j**4 = 0. What is j?
1, 2
Let d(b) be the third derivative of -1/40*b**4 - 8*b**2 + 0 + 0*b**6 - 1/175*b**7 + 0*b**3 + 0*b + 1/50*b**5 + 1/560*b**8. Let d(z) = 0. What is z?
-1, 0, 1
Let v be 6/18*4*3/5. Suppose g - 6 = 5*u + 2, 1 = 2*g + 5*u. Determine c, given that 0 - 2/5*c**g - 6/5*c**2 - v*c = 0.
-2, -1, 0
Let s(o) be the first derivative of -2*o**5/35 - 3*o**4 - 80*o**3/7 - 118*o**2/7 - 78*o/7 + 17. Find t such that s(t) = 0.
-39, -1
Suppose -l = -0*l - 3. Let i(b) be the third derivative of -5*b**2 + 3/8*b**4 + b**l + 1/20*b**5 + 0 + 0*b. Factor i(m).
3*(m + 1)*(m + 2)
Factor 26*x**3 + 5*x**5 - 26*x**3 - 31*x**4 + 16*x**4 + 20*x**2.
5*x**2*(x - 2)**2*(x + 1)
Let h(o) = 10*o**2 - 287*o + 2263. Let u(t) = -144*t + 532 - 139 - 83 + 5*t**2 + 821. Let q(f) = 6*h(f) - 13*u(f). Factor q(s).
-5*(s - 15)**2
Let 0*q + 0 + 3/2*q**3 - 3/2*q**2 = 0. What is q?
0, 1
Let w(a) be the second derivative of a**6/60 - 3*a**5/40 - 5*a**4/24 + a**3/4 + a**2 + 315*a. Factor w(o).
(o - 4)*(o - 1)*(o + 1)**2/2
Let c(v) = 7*v**4 + 27*v**3 + 42*v**2 - 36*v - 28. Let g(a) = -a**4 - a**3 - a**2 + a - 1. Let n = 34 + -30. Let t(d) = n*g(d) + c(d). Factor t(h).
(h - 1)*(h + 4)**2*(3*h + 2)
Let a = -870 + 873. Factor -2/7*o**4 + 0*o + 0*o**a + 0 + 2/7*o**2.
-2*o**2*(o - 1)*(o + 1)/7
Suppose 4/3*h**2 - 4/3 + 0*h**4 + 8/3*h**3 - 2/3*h**5 - 2*h = 0. What is h?
-1, 1, 2
Suppose 7*d + 3*o - 5 = 2*d, -3*d - 2*o + 2 = 0. Suppose 0 = 4*n - 6*n + d. Factor n*s**4 - 2 + 8*s**3 + 0*s**2 - 8*s - 4*s**2 + 4*s**4.
2*(s - 1)*(s + 1)**2*(3*s + 1)
Solve 71/2*p**2 + 204*p + 3/2*p**3 - 72 = 0.
-12, 1/3
Suppose 0 - 3 = 4*r + 3*s, 37 = 4*r - 5*s. Suppose 0*y = r*m - 2*y + 4, 0 = -m + 4*y - 8. Factor m + 0*q + 8/7*q**2 - 2/7*q**3.
-2*q**2*(q - 4)/7
Let o(i) be the first derivative of -i**4 + 0*i**3 - 7/3*i**6 + 18/5*i**5 + 0*i**2 + 0*i - 13. Factor o(b).
-2*b**3*(b - 1)*(7*b - 2)
Let h(g) be the second derivative of 0*g**3 - 6*g - 3/10*g**6 + 0*g**4 + 1/14*g**7 + 3/10*g**5 + 0*g**2 + 0. Determine f so that h(f) = 0.
0, 1, 2
Let m be ((-657)/365)/(57/(-10)). Factor 2/19*z**2 + 0 + m*z.
2*z*(z + 3)/19
Let n(q) = -q**2 - 10*q - 21. Let m be n(-9). Let k be 9/m + (-19)/(-4). Factor -10*j + 14*j**2 + j**2 - j**3 - k*j**3.
-5*j*(j - 2)*(j - 1)
Let y(k) = -k**2 + 8*k - 7. Let m be y(7). Suppose 4*a = 6 + 6. Factor -b + m*b + 18*b**a - 17*b**3.
b*(b - 1)*(b + 1)
Let u(a) be the second derivative of -a**7/504 - a**6/18 - 2*a**5/3 + a**4/6 + 27*a. Let r(n) be the third derivative of u(n). Factor r(y).
-5*(y + 4)**2
Suppose 36/7 + 398/7*r**3 - 58/7*r + 20/7*r**5 - 222/7*r**4 - 174/7*r**2 = 0. What is r?
-2/5, 1/2, 1, 9
What is j in 4*j**2 - 2*j - 18385*j**3 + 5*j**2 + 18382*j**3 - 4*j**4 = 0?
-2, 0, 1/4, 1
Factor -3/5*s**2 + 0 + 12*s.
-3*s*(s - 20)/5
Let v(p) = 24*p**2 + 458*p + 40. Let q be v(-19). Suppose 25/8 + 1/8*k**q - 5/4*k = 0. Calculate k.
5
Let j(m) be the first derivative of -6*m**2 - 8/3*m**3 + 37 - 4*m. Factor j(n).
-4*(n + 1)*(2*n + 1)
Let l(h) be the first derivative of 2*h**5/65 + 9*h**4/13 + 40*h**3/13 - 200*h**2/13 - 42. Factor l(u).
2*u*(u - 2)*(u + 10)**2/13
Let p = 707/2 - 328. Let -15/2*z**5 + 0 - 63/2*z**3 - 3*z + p*z**4 + 33/2*z**2 = 0. What is z?
0, 2/5, 1
Let j(z) = -2*z**2 - 8*z + 62. Let m be j(-7). Let k be ((-8)/m)/(4 + 82/(-20)). Factor -2/3*n**3 + 0 + 2/3*n + 2/3*n**2 - 2/3*n**k.
-2*n*(n - 1)*(n + 1)**2/3
Let x = 6 - 3. Let z = x + -1. Factor 1 - 28*l**2 - 20*l**2 - z - 5 + 33*l + 21*l**3.
3*(l - 1)**2*(7*l - 2)
Factor -3/2*d**4 + 0 + 0*d + 9/2*d**2 - 3*d**3.
-3*d**2*(d - 1)*(d + 3)/2
Let s(o) be the third derivative of -o**10/30240 + o**9/22680 + o**4/2 - 5*o**2. Let y(k) be the second derivative of s(k). Factor y(v).
-v**4*(3*v - 2)/3
Let u = 1 - 5. Let v = u + 23/5. Let -v*y**3 - y + 1/5 + 7/5*y**2 = 0. Calculate y.
1/3, 1
Suppose 3*n + 6 - 15 = 0. Find x, given that -2*x**n - 5*x**3 + 32*x - 30*x - 5*x**2 = 0.
-1, 0, 2/7
Let f(k) be the second derivative of 0*k**2 - 5/72*k**4 - 1/24*k**5 + 2*k + 5/18*k**3 - 17. Suppose f(v) = 0. Calculate v.
-2, 0, 1
Let w(f) = f**3 + 8*f**2 + 6*f - 6. Let i(k) = -2*k**2 - k + 1. Let d(h) = -6*i(h) - w(h). Factor d(q).
-q**2*(q - 4)
Suppose -5*l + 10 + 5 = 0. Let y(v) be the second derivative of -l*v + 0 + 0*v**3 + 2/45*v**6 - 1/10*v**5 + 0*v**2 + 1/18*v**4. Factor y(z).
2*z**2*(z - 1)*(2*z - 1)/3
Suppose -4*a = -2 + 6. Let q be -1*(6*a + 3). Let q*n**4 - 2*n - n**4 + 0 - 1 - n**4 + 2*n**3 = 0. What is n?
-1, 1
Let l = 781/7191 - -2/799. Let -16/9 + l*u**3 - u**2 + 8/3*u = 0. Calculate u.
1, 4
Let x(u) = -u**2 + u + 1. Let w be 0 + 4 - 1*7. Let y(h) = 4*h**2 - 4*h - 5. Let j(b) = w*x(b) - y(b). Suppose j(t) = 0. What is t?
-1, 2
Let g be (2 - 28/16)/(5*(-5)/(-50)). Find y, given that 3/2*y**4 + 1/4*y**5 + 9/4*y + g + 7/2*y**3 + 4*y**2 = 0.
-2, -1
Let c(o) be the first derivative of -o + 1/6*o**3 - 1 + 1/4*o**2. Suppose c(k) = 0. Calculate k.
-2, 1
Solve -102*d**4 - 163*d + 55*d**3 + 97*d**4 - 17*d - 120*d**2 = 0 for d.
-1, 0, 6
Let l(c) = 8*c**2 + 525*c - 533. Let i(v) = 44*v**2 + 2888*v - 2932. Let g(q) = -5*i(q) + 28*l(q). Factor g(b).
4*(b - 1)*(b + 66)
Suppose 0 = -0*u - 11*u + 297. Let k(v) = v**2 - 26*v - 24. Let f be k(u). Determine n so that 2/7*n**f - 2/7*n**2 - 2/7*n + 2/7 = 0.
-1, 1
Suppose -2*p = b - p + 1, b + 17 = -5*p. Solve -18*l**b + 2*l**3 - 5 - 8 - 4*l**5 + 5 + 20*l - 8*l**2 + 16*l**4 = 0.
-1, 1, 2
What is h in -h**4 + 68*h**2 + 29*h**4 + 3*h**5 - 5066*h + 5090*h + 68*h**3 + h**5 = 0?
-3, -2, -1, 0
Factor -30 - 3/2*g + 15/2*g**2 + 3/8*g**3.
3*(g - 2)*(g + 2)*(g + 20)/8
Let s(c) = -c**2 + 14*c - 10. Let v be s(13). Factor 2*i**v - 13*i**4 - 9*i**2 - 17*i**3 + 3*i**5 + 10*i**4.
3*i**2*(i - 3)*(i + 1)**2
Suppose -27 = -5*a + 13. Let d be -4 - -2*(-45)/(-10). Factor -a*t + 10*t**2 + d*t - 8 - 18*t + 5*t.
2*(t - 2)*(5*t + 2)
Suppose -2*r - 2*i = -3*i - 1, 0 = 5*r + 4*i - 22. Let s(n) be the first derivative of 0*n + 0*n**r - 16/5*n**5 - 3*n**4 + 4/3*n**3 + 9. Factor s(y).
-4*y**2*(y + 1)*(4*y - 1)
Let g(z) be the first derivative of -z**5/25 - z**4/4 - z**3/5 + z**2/2 + 4*z/5 - 24. Determine w so that g(w) = 0.
-4, -1, 1
Let q(o) be the third derivative of 14*o**2 + 0*o + 5/132*o**4 + 0 + 1/11*o**3 - 1/165*o**5. Determine w, given that q(w) = 0.
-1/2, 3
Let d(v) = 41*v - 37. Let y be d(1). Let f(u) be the first derivative of -12*u**y - 2 - 24*u + 124/3*u**3 + 34*u**2. Find t such that f(t) = 0.
-2/3, 1/4, 3
Factor -2/7*c**2 + 0 + 18/7*c.
-2*c*(c - 9)/7
Let g(o) be the third derivative of -o**5/360 + o**4/12 - o**3 + 90*o**2. Suppose g(l) = 0. What is l?
6
Let t(v) be the second derivative of 3*v**5/140 - 11*v**4/28 + 15*v**3/7 + 405*v. Factor t(b).
3*b*(b - 6)*(b - 5)/7
Let n(o) be the first derivative of -42*o**4/5 - 2*o**3/15 + 472. Solve n(w) = 0.
-1/84, 0
Let 0*u + 290/7*u**3 - 142/7*u**4 - 146/7*u**2 - 2/7*u**5 + 0 = 0. What is u?
-73, 0, 1
Let i(g) be the second derivative of -1/24*g**4 + 10*g - 1/480*g**6 + 0*g**3 - 3/2*g**2 - 1/60*g**5 + 0. Let k(l) be the first derivative of i(l). Factor k(o).
-o*(o + 2)**2/4
Let m be 2 - (-18)/(-8) - 175/(-28). Suppose m*u - 8*u = -4. Solve 2/3 + 3*t + t**u - 14/3*t**3 = 0 for t.
-1/2, -2/7, 1
Let z(p) = -p**3 - 4*p + 5. Let h(v) = 3 + 0*v - 4 - 2*v + 3*v. Let k(y) = 5*h(y) + z(y). Let k(a) = 0. What is a?
-1, 0, 1
Let 