2*z**2 + 32768*z/3 + 48. Suppose u(n) = 0. What is n?
-32
What is i in 32/7 - 22/7*i**4 + 80/7*i**2 + 96/7*i - 6/7*i**5 + 0*i**3 = 0?
-2, -1, -2/3, 2
Let v(o) be the first derivative of -o**6/2 + 18*o**5/5 - 27*o**4/4 - 4*o**3 + 18*o**2 + 39. Let v(p) = 0. What is p?
-1, 0, 2, 3
What is u in -3/2*u + 9/2*u**4 + 0 - 33/2*u**3 + 19/2*u**2 = 0?
0, 1/3, 3
Suppose 0 = -6*h - 11 + 143. Suppose -h*w**3 - 3*w**5 + 2 - 18*w**4 + 3*w + 18*w**2 - 2*w**5 + 17*w**2 - 43*w**2 = 0. Calculate w.
-1, 2/5
Factor 1171 + l**2 + 5*l**3 - 6*l**2 - 15*l - 35*l - 1211.
5*(l - 4)*(l + 1)*(l + 2)
Let g(x) be the first derivative of 6 + 0*x + 0*x**2 - 4/3*x**3 + x**4. What is c in g(c) = 0?
0, 1
Let g = 4 + -4. Factor -12*o + g*o**3 - 44*o**2 + 36*o + 6*o**3 + 6*o**3.
4*o*(o - 3)*(3*o - 2)
Let o(v) be the second derivative of 3*v**4/4 - 65*v**3/2 - 33*v**2 + 326*v. Determine g so that o(g) = 0.
-1/3, 22
Let w be (-5)/3 + -24*(-16)/128. Let -32/3 + 8/3*g**2 - 16/3*g + w*g**3 = 0. What is g?
-2, 2
Let v = 3169 - 41143/13. Let f = v - 203/52. Let f*t**3 + 1/4 - 1/4*t - 1/4*t**2 = 0. What is t?
-1, 1
Let s(z) be the second derivative of -13*z**3/6 - 6*z**2 - 7*z. Let p be s(-10). Factor p - 118 + 2*i**5.
2*i**5
Let w be 1/((5/140)/1). Find a, given that 6 + 21*a - w*a + 18*a + 11*a - 8*a**2 = 0.
-1/4, 3
Solve -1/5*c**2 - 126/5*c + 127/5 = 0 for c.
-127, 1
Let f be 16/20*(-15)/(-6)*-26. Let d = -48 - f. Let -2/13*k**2 - 2/13*k + 2/13*k**3 + 0 + 2/13*k**d = 0. Calculate k.
-1, 0, 1
Suppose 544/3*m**2 - 1/3*m**5 + 34/3*m**4 - 107*m**3 + 0 - 256/3*m = 0. What is m?
0, 1, 16
Let x(z) = -z**3 + 4*z**2 - 1. Let m(d) = d**2 + 3*d + 3. Let r be m(-3). Let l be x(r). Let -2*b**2 + 10*b - l*b + 6*b - 8 = 0. Calculate b.
2
Suppose -n = 3*j - 5, 5*j - 4*n = 21 + 10. Let k(z) be the first derivative of 1/10*z**6 + 6 - 6/25*z**5 - 3/10*z**2 + 0*z**4 + 0*z + 2/5*z**j. Factor k(t).
3*t*(t - 1)**3*(t + 1)/5
Factor -55*t**3 + 95*t**3 - 48*t**3 - 3*t**2.
-t**2*(8*t + 3)
Let n = 66156 + -732363/11. Let h = 423 + n. Factor h*q**3 + 2/11*q**4 + 0*q**2 - 8/11*q + 0.
2*q*(q - 1)*(q + 2)**2/11
Let d(n) = -2*n**2 + 68*n + 72. Let j be d(35). Let m(z) be the first derivative of -4 - 1/18*z**4 + 1/9*z**j + 0*z**3 + 0*z. Factor m(l).
-2*l*(l - 1)*(l + 1)/9
Let v = -8875 + 8879. Factor 9/5*d**3 - 6/5 + 3/5*d**2 - 9/5*d + 3/5*d**v.
3*(d - 1)*(d + 1)**2*(d + 2)/5
Factor -12 + 14/3*x**2 + 4/3*x**3 - 22*x.
2*(x - 3)*(x + 6)*(2*x + 1)/3
Let k = -3665/2 - -1766. Let i = k + 935/14. Find r, given that i*r**5 - 2/7*r + 0 + 0*r**3 + 4/7*r**4 - 4/7*r**2 = 0.
-1, 0, 1
Suppose 22*n + 871 + 669 = 0. Let h be (-9)/(-6)*n/(-12) - 5. Factor -h*r**3 - 13/4*r**4 + 0 - 1/4*r - 7/4*r**2 - r**5.
-r*(r + 1)**3*(4*r + 1)/4
Let q(b) be the third derivative of 2*b**7/315 + b**6/45 - b**5/3 + 2*b**4/9 + 40*b**3/9 - 2*b**2 - 166. Solve q(j) = 0.
-5, -1, 2
What is v in -40*v**3 - 20*v**4 - 65/4*v - 5/2 - 15/4*v**5 - 75/2*v**2 = 0?
-2, -1, -1/3
Let s(c) = c**3 - c**2 + c + 1. Let h(l) = -24*l**3 + 12*l**2 - 38*l - 30. Let u(b) = -2*h(b) - 44*s(b). Factor u(n).
4*(n + 1)*(n + 2)**2
Suppose 115*y = -96 + 139 + 302. Find c, given that 2/3*c**y + 0 + 0*c - 4/3*c**2 = 0.
0, 2
Let t(l) = -3*l**2 + 37*l + 123. Let s be t(15). Solve 0*j**s + 0*j + 0 + 1/2*j**4 - 2*j**2 = 0 for j.
-2, 0, 2
Let a = 0 + 3. Let q(d) = 2*d**2 + d + 1. Let l be q(-1). Find j, given that -4*j**2 + l*j**3 + j**3 + 0*j**a + 3*j - 2*j**2 = 0.
0, 1
Let o be (-2)/(207/108 + -3). Suppose 16/13 - 36/13*f**2 + 10/13*f**3 + o*f = 0. What is f?
-2/5, 2
Let a = -53 + 41. Let j be (-32)/a*(-5)/((-10)/3). Factor 20/7*u**3 + 10/7*u**j + 10/7*u + 2/7*u**5 + 20/7*u**2 + 2/7.
2*(u + 1)**5/7
Factor 31 - 27*r - 35*r**2 - 17*r**3 + 102*r + 46 + 2*r**3 + 5*r**4 + 13.
5*(r - 3)**2*(r + 1)*(r + 2)
Factor -17/4*c + 289/8 + 1/8*c**2.
(c - 17)**2/8
Let i(f) be the first derivative of 5*f**3/12 + 19*f**2/4 - 4*f + 51. Find b, given that i(b) = 0.
-8, 2/5
Let t(v) be the second derivative of -15/4*v**4 - 45/2*v**3 - 1/4*v**5 - 18*v - 135/2*v**2 + 0. Factor t(r).
-5*(r + 3)**3
Let r(g) be the first derivative of 3*g**4/4 - 5*g**3 - 39*g**2/2 - 21*g + 53. Factor r(o).
3*(o - 7)*(o + 1)**2
Suppose -l + 3*m + 9 = 0, 3*l = 4*m - m + 15. Let i(o) be the first derivative of 1/6*o**2 + 0*o - l + 1/9*o**3. Factor i(g).
g*(g + 1)/3
Let g(r) be the first derivative of 8*r**3/33 + r**2/11 - 36*r/11 + 112. Factor g(c).
2*(c - 2)*(4*c + 9)/11
Let 3/2*p**2 - 1/8*p**4 + 0 + 0*p + 1/2*p**3 = 0. Calculate p.
-2, 0, 6
Let c(l) = 17*l**3 + 63*l**2 + 234*l - 326. Let k(g) = -70*g**3 - 250*g**2 - 935*g + 1305. Let x(d) = 25*c(d) + 6*k(d). Suppose x(r) = 0. What is r?
-8, 1
Find i, given that 14/15*i**2 - 2/5*i + 2/15*i**4 - 2/3*i**3 + 0 = 0.
0, 1, 3
Determine a, given that 39*a**2 + 56*a**3 + 19*a**2 + 61*a**4 - 63*a**4 = 0.
-1, 0, 29
Let y be -6*7/(-14)*(-4)/(-21). Suppose y*j**4 + 2/7*j - 8/7*j**2 + 4/7 - 4/7*j**3 + 2/7*j**5 = 0. What is j?
-2, -1, 1
Let b(o) be the second derivative of -9/2*o**3 - o**4 + 0 - 3*o**2 + 21*o. Factor b(l).
-3*(l + 2)*(4*l + 1)
Let i(t) be the third derivative of -t**5/270 + t**4/108 + t**2 - 5*t. Factor i(n).
-2*n*(n - 1)/9
Let o = 3507/20 + -3483/20. Factor -2/5 - 6/5*h - 2/5*h**3 - o*h**2.
-2*(h + 1)**3/5
Let g = -111 + 117. Let q be -5 + (-6)/(-2) - (1 - g). Factor 1/3*c - 1/3*c**2 + 1/3 - 1/3*c**q.
-(c - 1)*(c + 1)**2/3
Suppose -24 = -3*v + 9*v. Let u be (0 - -2) + v + 6. Find g, given that u + 0*g**2 + 5*g**2 + 3*g**2 - 8 - 4*g**4 = 0.
-1, 1
Let f be (-490)/(-154) + (-20)/(-11) + -2. Suppose 3*r + s = 5, r - s = -f*r - 5. Factor -2/5*a**4 + 0 + 1/5*a - 1/5*a**5 + r*a**3 + 2/5*a**2.
-a*(a - 1)*(a + 1)**3/5
Suppose -t**3 - 403*t**2 + 403*t**2 + t**4 = 0. What is t?
0, 1
Let n(z) = z**2 - 2*z - 6. Let q be n(-5). Let x = 34 - q. Suppose 0*c + 3/4*c**4 + 1/4*c**3 - 7/4*c**2 - 1/4*c**x + 1 = 0. Calculate c.
-1, 1, 2
Factor 0 - 4/5*f**2 - 2/5*f**4 + 0*f + 6/5*f**3.
-2*f**2*(f - 2)*(f - 1)/5
Suppose 25*u - 66*u = -23*u - 36. Factor 1/8*m + 5/8*m**u + 0.
m*(5*m + 1)/8
What is v in 1/2*v**3 + 0 + 18*v + 6*v**2 = 0?
-6, 0
Let a(g) be the second derivative of -g**5/14 - g**4/14 + 4*g**3/7 - 4*g**2/7 - 3*g - 2. Factor a(k).
-2*(k - 1)*(k + 2)*(5*k - 2)/7
Let m(z) = 4*z - 122. Let p be m(32). Let f(x) be the first derivative of -3/4*x**2 - 9/4*x + p - 1/12*x**3. Factor f(v).
-(v + 3)**2/4
Let s(x) = -x. Let c(f) = -1511 + f**2 + 0*f + 0*f + 1508. Let r(q) = c(q) - 2*s(q). Suppose r(u) = 0. Calculate u.
-3, 1
Let d = -30/29 - 74/377. Let x = d - -100/39. Factor 4/3*t + 0 + 8/3*t**2 + x*t**3.
4*t*(t + 1)**2/3
Suppose -f = 2*b - 15, 60*b - 55*b - 24 = 2*f. Find w such that -2/13*w**5 + 12/13 - 10/13*w + 12/13*w**f + 4/13*w**4 - 16/13*w**2 = 0.
-2, -1, 1, 3
Let c(t) = -13*t**4 + 48*t**2 + 69*t + 19. Let q(a) = -32*a**4 + 120*a**2 + 172*a + 48. Let z be ((-20)/6)/(18/(-27)). Let g(i) = z*q(i) - 12*c(i). Factor g(m).
-4*(m - 3)*(m + 1)**3
Let y(s) be the second derivative of s**7/21 + 22*s**6/45 + 2*s**5/3 - 4*s**4/3 - 119*s. Let y(c) = 0. Calculate c.
-6, -2, 0, 2/3
Let p(q) = 30*q**2 + 53*q + 113. Let m(z) = 13*z**2 + 26*z + 57. Let s(i) = -7*m(i) + 3*p(i). Determine f so that s(f) = 0.
-20, -3
Let d = 43/167 + -5/668. Factor -1/2*i - 1/4 - d*i**2.
-(i + 1)**2/4
Let 14*m - 12*m**2 - 126*m**4 - 29*m + 9*m - 24*m**2 + 18*m - 141*m**3 - 33*m**5 = 0. Calculate m.
-2, -1, 0, 2/11
Factor 3 + 1 + 6*b**2 - 686*b**3 + 18*b + 678*b**3.
-2*(b - 2)*(b + 1)*(4*b + 1)
Let o(b) be the third derivative of -b**7/525 + b**6/300 + 2*b**5/75 - b**4/15 + 85*b**2. Solve o(y) = 0.
-2, 0, 1, 2
Let w = 31 + -29. Factor 100 - 4*l**w + 88*l - 455 - 129.
-4*(l - 11)**2
Let g(l) be the first derivative of -2*l**3/3 - 22*l**2 - 80*l - 98. Solve g(d) = 0 for d.
-20, -2
Determine b, given that -144/5 - 17/5*b**4 - 56*b**2 + 104/5*b**3 + 336/5*b + 1/5*b**5 = 0.
1, 2, 6
Let r(x) be the third derivative of x**5/15 + x**4 + 12*x**2 + x. Factor r(t).
4*t*(t + 6)
Solve 3*n**2 - 1/2*n**3 - 1/2*n - n**4 - 1 = 0.
-2, -1/2, 1
Let -5/2 - 5/2*a**3 + 5/4*a - 5/2*a**4 + 5*a**2 + 5/4*a**5 = 0. What is a?
-1, 1, 2
Let l be (-42)/(-8) + -5 + (-30)/(-8). Let -l*w - 10 - 2*w + 2*w**2 + 14*w = 0. What is w?
-5, 1
Let d(u) = 3*u**4 - 8*u**3 + 36*u**2 - 35*u + 4. Let s(t) = -t**4 + 4*t**3 - 18*t**2 + 18*t - 3. Let o(b) = 2*d(b) + 5*s(b). Fa