 0. What is a?
-1, 1, 2, 5
What is j in 356*j + 10*j**3 + 53 - 2 - 3 + 182*j**2 + 18 - 2 = 0?
-16, -2, -1/5
Let u be (-1 - -16)*(-52 - 49161/(-945)). What is a in -u*a**2 - 3 + 10/3*a = 0?
1, 9
Let p = 96 + -91. Let l(x) = -2*x + 4*x**2 + 5*x - 6 + x**2. Let h(y) = -11*y**2 - 6*y + 12. Let q(a) = p*l(a) + 2*h(a). Suppose q(g) = 0. Calculate g.
-2, 1
Suppose 194*w**2 + 357*w**4 - 14*w**5 + 295*w**4 - 376*w**3 - 6*w**5 - 450*w**2 = 0. What is w?
-2/5, 0, 1, 32
Let l(j) = 5*j**2 + 614*j + 613. Let c be l(-1). Let 12*b + 22/3*b**2 - 2/3*b**c + 0*b**3 + 16/3 = 0. What is b?
-2, -1, 4
Let b = -3518 + 3521. Let z(n) be the third derivative of -17*n**2 + 8/3*n**4 + 0 + 0*n + 1/60*n**6 + 1/3*n**5 + 32/3*n**b. Determine a so that z(a) = 0.
-4, -2
Let q = -59 - -62. Suppose y - 2*y + 16 = q*d, -4*d - 5*y + 36 = 0. Determine k so that -20*k - 25*k**4 + 115*k**3 + 5*k**2 + d*k**5 - 39*k**5 - 60*k + 20 = 0.
-2, -1, 2/7, 1
Let h = 4998137/1148248 + 7/67544. Factor 18/17 - h*y + 8/17*y**2.
2*(y - 9)*(4*y - 1)/17
Let j(k) = -8*k**2 + 48*k + 2. Let s be (-469)/56 - -8 - (-102)/16. Let v be j(s). Determine i so that i + 2/3 + 1/3*i**v = 0.
-2, -1
Let s(h) be the first derivative of h**6/36 + h**5/2 + 59*h**4/24 + 5*h**3/2 - 3297. Let s(n) = 0. Calculate n.
-9, -5, -1, 0
Suppose 4*s - 12 = 0, -3*s = 6*t - t - 34. Suppose -31*w**4 - 4*w**t + 11*w**4 - 21*w**2 + 5*w**2 - 32*w**3 = 0. Calculate w.
-2, -1, 0
Let s(v) = v**3 + 12*v**2 - 21*v + 11. Suppose 67 - 85 = 3*j. Let t(d) = 12*d**2 - 20*d + 10. Let w(o) = j*t(o) + 4*s(o). Solve w(y) = 0 for y.
1, 4
Let a(j) be the first derivative of -157 + 2/9*j**3 + 0*j + 5/3*j**2. What is n in a(n) = 0?
-5, 0
Let v be (-29)/(-2)*((-6 - -1) + -1). Let y be 3/(63/(-14)) - v/18. Let -5 + y*g - 5/6*g**2 = 0. What is g?
2, 3
Factor -1/5*n**3 - n + 0 - 6/5*n**2.
-n*(n + 1)*(n + 5)/5
Let t(i) = i**2 + 13*i + 13. Let z be 1/((-1)/(-1) + -2). Let s(m) = -m**2 - m - 1. Let b = 8652 + -8649. Let x(p) = b*s(p) + z*t(p). Factor x(u).
-4*(u + 2)**2
Let b(i) be the second derivative of -4*i**4 + 0 - 8/3*i**3 + 0*i**2 - 13/5*i**5 - 155*i - 2/21*i**7 - 4/5*i**6. Factor b(u).
-4*u*(u + 1)**2*(u + 2)**2
What is t in -30*t**3 + 331*t**2 + 2268 - 1634*t + 416 + 29*t**3 - 1380 = 0?
1, 4, 326
Let f(j) be the first derivative of -j**2 - 10*j + 16. Let k be f(-6). Factor -8*r**k + 41 - 7*r**3 - 48*r + 4*r**5 - 16*r**4 - 9 + 51*r**3 - 8*r**4.
4*(r - 2)**3*(r - 1)*(r + 1)
Let u(o) be the first derivative of o**4/12 - 410*o**3/9 + 7072*o**2 - 27744*o + 2796. Solve u(x) = 0.
2, 204
Let t(c) = -6*c - 32 + c + 17. Let k be t(-10). Factor 40*n**2 - k*n**2 + 125 + 22*n + 28*n.
5*(n + 5)**2
Let k(t) be the second derivative of -3*t - 21/20*t**5 + 3/4*t**4 + 15/14*t**7 + 0*t**2 + 1 - 11/10*t**6 + 0*t**3. Determine r so that k(r) = 0.
-3/5, 0, 1/3, 1
Suppose 0 = -2*c + 10 - 2. Factor 43*p - 180*p + 1012*p**2 + 820*p**4 + 265*p + 280*p - 676*p**c - 816*p**3 + 36.
4*(p - 3)**2*(6*p + 1)**2
Let t(b) be the third derivative of b**6/120 + 77*b**5/60 + 659*b**4/24 - 737*b**3/6 - 21*b**2 + 35*b. Suppose t(x) = 0. Calculate x.
-67, -11, 1
Suppose -71*g = -64*g - 462. Find t such that 3*t**3 - 901 + g*t + 901 - 69*t**2 = 0.
0, 1, 22
Let b(m) be the first derivative of 41 + 20/21*m**3 - 1/7*m**4 - 12/7*m**2 + 0*m. Factor b(p).
-4*p*(p - 3)*(p - 2)/7
Let f(u) be the first derivative of -32 + 17*u + 0*u**2 - 35/6*u**3 - 5/12*u**4. Let m(i) be the first derivative of f(i). Suppose m(k) = 0. What is k?
-7, 0
Suppose 2*q + 2*o + 4 = -6, -3*q - o - 5 = 0. Suppose q = -4*a - a + 85. Factor r**4 + 19*r**2 + 20 - a - 7*r**2 + 10*r + 6*r**3.
(r + 1)**3*(r + 3)
Let g(p) = -6*p**2 + 63*p - 1166. Let x(y) = -7*y**2 + 62*y - 1168. Suppose -9*z = 40 + 5. Let s(k) = z*x(k) + 6*g(k). Factor s(j).
-(j - 34)**2
Let r(z) be the first derivative of -10*z**3/3 - 46*z**2/5 + 596. Let r(s) = 0. Calculate s.
-46/25, 0
What is q in 37/2*q - 294 + 1/2*q**2 = 0?
-49, 12
Factor 5*j**5 + 15*j**3 - 19*j**3 - 1140*j**2 + 36*j**4 - 46*j**3 + 3*j**4 - 1800*j + 6*j**4.
5*j*(j - 5)*(j + 2)*(j + 6)**2
Let i(y) = -16*y**3 - 16*y**2 + 44*y - 36. Let f(l) = -l**3 - 2*l**2 + l - 3. Let d be (9/(-12))/((15/(-80))/(-3)). Let j(u) = d*f(u) + i(u). Factor j(p).
-4*p*(p - 4)*(p + 2)
Let h(y) be the second derivative of -35*y**7/6 - 301*y**6/6 + 318*y**5 - 65*y**4/3 - 3760*y**3/3 - 1440*y**2 + 1176*y. Find t, given that h(t) = 0.
-9, -4/7, 2
Let q be ((-3)/(-6))/((-45)/(-12) - 4). Let k be (q/6)/(330/(-180)). Factor -k*h + 2/11*h**2 + 0 + 2/11*h**3 - 2/11*h**4.
-2*h*(h - 1)**2*(h + 1)/11
Suppose 0 = 155*v + 258*v + 14360 - 44096. Find l such that -12*l - 1/2*l**2 - v = 0.
-12
Suppose y + 2*y + 198 = -3*b, 0 = -b + 5*y - 60. Let g = 67 + b. Factor -g*u**5 + u**3 - 8*u - 101*u**4 + 105*u**4 - 8*u**2 + 5*u**3.
-2*u*(u - 2)**2*(u + 1)**2
Factor 1978/3*o + 440 - o**2.
-(o - 660)*(3*o + 2)/3
Let c(p) be the third derivative of -p**6/200 + 121*p**5/150 - 4*p**4/3 - 111*p**2 + p. Factor c(z).
-z*(z - 80)*(3*z - 2)/5
Let k(y) be the second derivative of y**5/140 + 43*y**4/84 + 100*y**3/7 + 1368*y**2/7 + 42*y + 75. Factor k(m).
(m + 12)**2*(m + 19)/7
Factor 4*l**5 - 20*l**3 - 54*l**3 + 14*l**3 + 216*l**4 - 24*l - 228*l**4 - 68*l**2.
4*l*(l - 6)*(l + 1)**3
Let z(d) be the first derivative of d**6/2 - 102*d**5/5 - 81*d**4 - 110*d**3 - 111*d**2/2 - 1665. Factor z(p).
3*p*(p - 37)*(p + 1)**3
Suppose -l = 5*g - 7, -150*l = 4*g - 145*l + 7. Let 3/5*x**5 + 12*x - 6/5*x**4 + 0 - 9*x**3 - 12/5*x**g = 0. What is x?
-2, 0, 1, 5
Suppose -5*i = 5*i - 80. Factor -8*w**3 - 26*w + 13*w + 6*w**2 + 2*w**4 + 10*w - i + 11*w.
2*(w - 2)**2*(w - 1)*(w + 1)
Let j be 1/9 + (-10005)/(-1080) + -9. Find s, given that -j*s**2 - 15/4 + 21/8*s = 0.
2, 5
Let s(m) = m**4 + 13*m**3 + 38*m**2 - 64*m - 90. Let b(d) = -d**4 - 13*d**3 - 37*d**2 + 66*d + 91. Let g(p) = -6*b(p) - 5*s(p). Find i such that g(i) = 0.
-8, -6, -1, 2
Let t(w) = 622*w**2 + 210*w - 107. Let m(l) = 495*l**2 + 211*l - 108. Let z(a) = 5*m(a) - 4*t(a). Factor z(r).
-(r - 16)*(13*r - 7)
Let u(d) = -d**3 + d**2 + 1421*d + 5606. Let k be u(-4). Suppose -23/2 - 1/2*m**k + 12*m = 0. What is m?
1, 23
Let f(h) = -2*h**3 + 14*h**2 + 22*h. Let z be f(8). What is u in 24*u**2 - z*u**2 - 5*u**3 + 9*u**3 = 0?
0, 6
Factor -1830*a**2 - 1296*a - 5*a**3 - 9*a**3 + 4136 - 1728 - 1888.
-2*(a + 1)*(a + 130)*(7*a - 2)
Let y(m) be the first derivative of 111 + 0*m + 5/2*m**2 - 1/6*m**3. Factor y(l).
-l*(l - 10)/2
Suppose 25 + 20 = d - 3*o, 0 = 4*d + 3*o - 150. Let k be d/9 - (-4 - 39/(-9)). Suppose 0 - t**k - 1/4*t**3 + 1/4*t + t**2 = 0. What is t?
-1, -1/4, 0, 1
Let c(n) be the second derivative of n**7/1960 + n**6/280 - n**5/28 + 13*n**3/3 + 65*n. Let v(j) be the second derivative of c(j). Factor v(p).
3*p*(p - 2)*(p + 5)/7
Let b(j) be the third derivative of j**5/360 - 167*j**4/36 + 667*j**3/36 - 19*j**2 - 11. Factor b(m).
(m - 667)*(m - 1)/6
What is y in 32/3 - 56/9*y**4 - 104/9*y - 1312/9*y**2 + 782/9*y**3 = 0?
-2/7, 1/4, 2, 12
Let z(o) be the first derivative of -9/2*o**2 + 1/3*o**3 + 144 - 22*o. Factor z(p).
(p - 11)*(p + 2)
Let l be 13 - ((5 - -4) + (-270)/(-81)). Determine u, given that 2/3 + 4/3*u + l*u**2 = 0.
-1
Let g = 463213 + -463211. Factor -3/4*p**4 + 0 + 0*p - 63/2*p**3 - 1323/4*p**g.
-3*p**2*(p + 21)**2/4
Let r(v) be the third derivative of -v**5/180 - 227*v**4/72 - v**2 + 15. Factor r(w).
-w*(w + 227)/3
Let v be (-1140)/(-264) + 4/22. Let z(i) = -2*i**3 - 244*i**2 + 239*i - 858. Let t be z(-123). Factor -3/2 - 3/2*j**t - v*j**2 - 9/2*j.
-3*(j + 1)**3/2
Let g be 2/20*(-1410)/(-47). Let p(r) be the first derivative of 7/10*r**2 + g + 4/15*r**3 + 3/5*r. Factor p(z).
(z + 1)*(4*z + 3)/5
Let l be 8 + ((45/(-10))/((-5)/(-10)) - -5). Let o(t) be the first derivative of -25 + 1/12*t**l + 2/3*t**2 + 0*t + 5/9*t**3. Factor o(r).
r*(r + 1)*(r + 4)/3
Suppose 12291*q - 8 = 12287*q. Factor 2*d**2 - 15/2*d - q.
(d - 4)*(4*d + 1)/2
Let q(s) be the third derivative of -s**6/30 + 3*s**5/5 + 7*s**4/2 + 22*s**3/3 - 662*s**2. Factor q(i).
-4*(i - 11)*(i + 1)**2
Let u(g) be the second derivative of 0*g**2 - 48*g + 5/12*g**4 + 3 + 35/3*g**3. Solve u(z) = 0.
-14, 0
Let u(z) be the third derivative of 2*z**7/105 - z**6/5 - 17*z**5/5 + 112*z**4/3 + 392*z**3 + 2239*z**2. Factor u(y).
4*(y - 7)**2*(y + 2)*(y + 6)
Le