 0.
1, 3
Let 77/5*p**4 - 8/5 - 69/5*p**2 - 10*p**3 + 10*p = 0. What is p?
-1, 2/7, 4/11, 1
Suppose 40 = 7*i - 3*i. Suppose i = t - 0*t. Let -7 + 4*g**4 + 1 + 12*g**2 - 44*g**3 + 32*g + 12*g**5 - t = 0. What is g?
-2, -1, 2/3, 1
Suppose m - 5*w = -2, -3*m + 6 = w - 20. Factor -m*r**2 - 44*r - 2 + 5 + 5 + 44*r**3.
4*(r - 1)*(r + 1)*(11*r - 2)
Factor -225/2*m + 125 + 30*m**2 - 5/2*m**3.
-5*(m - 5)**2*(m - 2)/2
Let a(g) = 40*g**3 - 100*g**2 + 20*g - 8. Let b(u) = 2*u**3 - 4*u**2. Let o(z) = -a(z) + 24*b(z). Let o(y) = 0. What is y?
-2, 1/2, 1
Let j(k) be the third derivative of -2*k**7/525 - k**6/40 + k**5/75 + 63*k**2. Determine i so that j(i) = 0.
-4, 0, 1/4
Let c = 80 - 78. Determine m so that -6/5*m**3 + 0*m**c + 2/5*m**5 - 4/5*m**4 + 0 + 0*m = 0.
-1, 0, 3
Let j(f) be the second derivative of f**6/195 - f**5/130 - 3*f**4/26 - 11*f**3/39 - 4*f**2/13 - 6*f + 4. Let j(t) = 0. What is t?
-1, 4
Factor -3/4*x**5 + 213/4*x - 78*x**2 - 27/2 - 21/2*x**4 + 99/2*x**3.
-3*(x - 1)**4*(x + 18)/4
Suppose 0 = 3*d - 3*q - 27, -4*d - 4*q = d - 9. Let p be 195/225 - 1/d. Suppose 4*z + p*z**2 + 6 = 0. Calculate z.
-3
Suppose -5*h + 2 + 16 = 4*r, r - 4 = -h. Let p be -3*(9/(-30) - r/(-15)). Suppose 0*f - 3/2*f**4 + 0*f**2 + p*f**3 + 0 = 0. Calculate f.
0, 1/3
Let i(a) = 23*a - 159. Let u be i(7). Let p(k) be the second derivative of u*k**2 + 0 + 3*k + 1/3*k**3 - 1/6*k**4. Find s such that p(s) = 0.
-1, 2
Let l = -3022 + 3022. Factor l - 3/5*t**5 - 18/5*t**4 - 3/5*t**3 - 48/5*t + 72/5*t**2.
-3*t*(t - 1)**2*(t + 4)**2/5
Suppose 10*h - 21 = 3*h. Let f(m) = 2*m - 6. Let y(u) = u**2 - u. Let c(j) = h*y(j) + 3*f(j). Factor c(k).
3*(k - 2)*(k + 3)
Determine l, given that -80*l**2 + 12*l**2 + 5*l**5 - 89*l**2 - 390*l + 27*l**3 - 200 + 45*l**4 + 58*l**3 + 12*l**2 = 0.
-5, -4, -1, 2
Let i = 2 - 1. Let v(t) = 5 + 2*t**2 - 5*t + 2 + t**3 + i - 4. Let k(r) = -4*r**3 - 5*r**2 + 15*r - 13. Let z(u) = 4*k(u) + 14*v(u). Factor z(b).
-2*(b - 2)*(b - 1)**2
Let 65*o**2 - 80 - 29*o**4 - 124*o - 133*o**2 + 25*o**4 + 56*o**2 + 28*o**3 = 0. Calculate o.
-1, 4, 5
Let w = 2 + 5. Let m = -12 + w. Let x(n) = n - 1. Let s(u) = -3*u**2 + 2*u + 1. Let q(a) = m*x(a) + s(a). Factor q(l).
-3*(l - 1)*(l + 2)
Suppose -5*z + 105*p - 7 = 101*p, -2*p = -5*z - 1. Factor 0*u**2 - 3/2*u + 1/2*u**3 - z.
(u - 2)*(u + 1)**2/2
Let i(h) = -h**2 + 10*h - 2. Let d be i(9). Solve -d*r**2 + 3*r**4 + 5*r + 4*r**2 - 3*r - r**3 - r**5 = 0 for r.
-1, 0, 1, 2
Let g be -3 - (-2 - (0 + 5)). Let 10*k**2 + 0*k**2 - 5 - 3*k**4 - 2*k**g = 0. Calculate k.
-1, 1
Let f(j) = j**2 + 5*j - 11. Let o be f(-7). Let p be (8/o)/(6/9). Determine w, given that 0 - 10/9*w**3 + 2/9*w - 2/3*w**p - 2/9*w**2 = 0.
-1, 0, 1/3
Let -37/5*b**3 + 88/5*b + 0 - 206/5*b**2 + b**4 = 0. Calculate b.
-4, 0, 2/5, 11
Let s be 4/6 - 16/(-12). Suppose -s*w = -11 + 3. Solve -8*f + 2*f**w + 4*f - 4*f**4 - 8*f**3 - 10*f**2 = 0 for f.
-2, -1, 0
Suppose 4*x + r - 3*r - 70 = 0, -4*r = 5*x - 107. Suppose 4*a - 4 = -p, 5*p - x = -2*a + 1. Factor 2/9*z**3 + a*z + 0 + 0*z**2 - 2/3*z**4.
-2*z**3*(3*z - 1)/9
Let j(z) be the second derivative of -2*z**7/21 + 11*z**6/15 - 21*z**5/10 + 8*z**4/3 - 4*z**3/3 + 26*z. Solve j(h) = 0 for h.
0, 1/2, 1, 2
Let a(d) = 3*d**3 + 240*d**2 - 19192*d + 512008. Let g(o) = 2*o**3 + 240*o**2 - 19194*o + 512006. Let b(k) = -3*a(k) + 4*g(k). Factor b(u).
-(u - 80)**3
Solve 2/7*l**5 - 24/7*l**2 + 6/7*l**4 - 16/7*l - 4/7*l**3 + 0 = 0 for l.
-2, -1, 0, 2
Suppose 8*p - 18 = -521*l + 519*l, 3*p + 2*l = 8. Factor g + 0 - g**p + 1/4*g**3.
g*(g - 2)**2/4
Let h(b) be the first derivative of 1/70*b**6 - 8*b + 0*b**2 + 3 + 3/70*b**5 + 0*b**4 + 0*b**3. Let a(j) be the first derivative of h(j). Factor a(p).
3*p**3*(p + 2)/7
Suppose 0 = -337*r + 301*r + 432. Suppose -r*x**3 + 128/3*x + 20*x**2 + 16 = 0. What is x?
-2/3, 3
Let k be 25/40*18/45. Let o(d) be the second derivative of -k*d**2 + 0 + 1/12*d**4 + 5*d + 5/24*d**3 - 3/80*d**5. Factor o(j).
-(j - 2)*(j + 1)*(3*j - 1)/4
Suppose 0 = 3*y - f - 9, -y + 3 = -0*y + 2*f. Suppose k + y - 6 = 0. Factor 8/9*w + 8/9*w**2 + 0 + 2/9*w**k.
2*w*(w + 2)**2/9
Let y(c) be the first derivative of 0*c - 20*c**2 + 29 + 4/3*c**3. Let y(l) = 0. What is l?
0, 10
Factor 26/11*j - 2/11*j**2 + 28/11.
-2*(j - 14)*(j + 1)/11
Let c(t) be the second derivative of -t**6/90 + t**5/90 + t**4/36 - 3*t**2/2 - 6*t. Let b(o) be the first derivative of c(o). What is n in b(n) = 0?
-1/2, 0, 1
Factor 4/3*g**4 + 128*g + 184/3*g**2 - 20*g**3 - 512/3.
4*(g - 8)**2*(g - 1)*(g + 2)/3
Let y(t) be the first derivative of 5/3*t**3 + 15/2*t**2 + 10*t + 18. Factor y(a).
5*(a + 1)*(a + 2)
Let d(r) be the first derivative of -r**4/42 - 34*r**3/63 - 2*r**2/3 + 64*r/21 - 311. Let d(v) = 0. Calculate v.
-16, -2, 1
Let l = -3613/45 + 728/9. Suppose -3/5*y**3 + 0 - 3/5*y**2 + 3/5*y**5 + l*y**4 + 0*y = 0. What is y?
-1, 0, 1
Let c(s) be the first derivative of s**6/12 + 9*s**5/10 + 15*s**4/4 + 22*s**3/3 + 6*s**2 - 71. Find i such that c(i) = 0.
-3, -2, 0
Let l(i) be the first derivative of 2*i**5/5 - 29*i**4/6 + 20*i**3 - 36*i**2 + 80*i/3 - 56. Find y such that l(y) = 0.
2/3, 2, 5
Let s(t) be the first derivative of 3/2*t**2 - 7 - 9/2*t - 1/6*t**3. Factor s(m).
-(m - 3)**2/2
Let a(i) be the third derivative of 117*i**6/140 + 6*i**5/5 + 17*i**4/28 + 2*i**3/21 - i**2 + 17. Solve a(k) = 0.
-1/3, -2/39
Suppose 669 - 673 = -m. Find n, given that -2/15*n**2 + 0 + 0*n - 32/15*n**m + 16/15*n**3 = 0.
0, 1/4
Let o(y) = y**5 - y**4 - y**3 - y**2 - y - 1. Let f(g) = 41*g**3 - 12*g**4 - 41*g**3 + 3*g**5 + 15*g + 18*g**2. Let x(u) = f(u) - 6*o(u). Factor x(v).
-3*(v - 2)*(v + 1)**4
Let f be ((-8)/18)/(4/(-18)). Factor -1 + 4 - 2*r - r**f + 0.
-(r - 1)*(r + 3)
Let c be (-18)/4*24/(-18). Suppose 23*n - c + 2*n**2 - 8*n - 19*n = 0. What is n?
-1, 3
Let b be 121/1 - 3/1. Solve 388*u**3 + 300*u**2 + b*u + 16 + 60*u**5 + 244*u**4 + 0 - 6*u = 0 for u.
-1, -2/3, -2/5
Suppose -5*j - 28 = -58. Let p be -2*j/(-8) + (6 - 7). Determine u so that p*u + u**3 - 7/4*u**2 + 1/4 = 0.
-1/4, 1
Suppose -2*f + 4*c = 22 - 32, 2*f - c = 7. Let t(u) be the second derivative of 1/24*u**4 + 4*u + 1/60*u**6 + 0*u**2 - 1/20*u**5 + 0 + 0*u**f. Factor t(q).
q**2*(q - 1)**2/2
Suppose -x = -707 - 1124. Factor -3*z**2 + x - 1847 - z**2 + 16*z.
-4*(z - 2)**2
Let -80*q**2 - 5*q**4 - 3*q**4 - 15*q**3 - 57*q**3 - 2*q**4 - 24*q + 18*q**3 = 0. What is q?
-3, -2, -2/5, 0
Let r(i) be the third derivative of -i**7/42 + 5*i**6/24 - i**5/2 - 5*i**4/6 + 20*i**3/3 - 49*i**2. Find t such that r(t) = 0.
-1, 2
Let k be (-12)/4 - 3 - (-2 - 1). Let g(n) = -9*n**2 + 4*n - 1. Let s(h) = 4*h**2 - 2*h. Let w(u) = k*g(u) - 7*s(u). Solve w(p) = 0.
-1, 3
Suppose g - 4*g + 3*h + 15 = 0, 5*g + 20 = -4*h. Suppose -1 = k, 4*t = -g*k + 3*k + 19. Solve 0 + 0*f**2 + 0*f - 4/5*f**t - 1/5*f**3 = 0.
-1/4, 0
Let m(q) be the first derivative of 2*q**3/3 + 58*q**2 - 118*q - 298. Factor m(s).
2*(s - 1)*(s + 59)
Let y(w) = w**3 + 19*w**2 - 39*w - 9. Let p(v) = -2*v**3 - 39*v**2 + 79*v + 21. Let c(m) = -6*p(m) - 14*y(m). Factor c(h).
-2*h*(h - 2)*(h + 18)
Suppose -27*y + 12*y = -30. Let v(b) be the second derivative of 0*b**y + 1/12*b**3 - 4*b + 1/24*b**4 + 0. Factor v(w).
w*(w + 1)/2
Let z = -31 + 37. Let d be (-2 - 0 - -1) + 7. Factor d*n**2 - 5 - z*n - 3*n**2 + 5.
3*n*(n - 2)
Let t(g) be the second derivative of 5/16*g**3 - 3/16*g**2 - 5/16*g**4 - 1/16*g**6 - g + 3/16*g**5 + 1/112*g**7 + 0. Factor t(h).
3*(h - 1)**5/8
Factor 100 + 1120*q - 1317*q**2 - 34*q**3 + 319*q**3 + 2015*q**2 + 947*q**2.
5*(q + 5)*(3*q + 2)*(19*q + 2)
Let d(i) be the second derivative of -i**5/40 + i**4/12 + 3*i**3/4 - 9*i**2/2 - 79*i. Let d(t) = 0. Calculate t.
-3, 2, 3
Find a such that 1/2*a**3 - 7/2*a**2 + 8*a - 6 = 0.
2, 3
Let i be (-15)/10 + 6/4. Let h**4 - 3*h**2 + 1 + h + i*h**4 - 4*h**5 + 5*h**5 - 2*h**3 + h**2 = 0. What is h?
-1, 1
Find y such that -2*y**4 - 389*y**2 + y**3 + 2*y**5 - 3*y**3 + 391*y**2 = 0.
-1, 0, 1
Let v(h) be the second derivative of -1/10*h**5 + 5/3*h**3 + 0 - 3*h**2 - 1/6*h**4 - 16*h. Factor v(i).
-2*(i - 1)**2*(i + 3)
Let u(j) be the first derivative of 10*j + 20/3*j**3 - 35/2*j**2 + 5*j**4 - 19. Factor u(b).
5*(b + 2)*(2*b - 1)**2
Let w be 30/27 + ((-78)/9)/13. Factor 0 - w*u**2 - 8/9*u + 4/9*u**3.
4*u*(u - 2)*(u + 1)/9
Let p(j) be t