tor -3*a**2 + 6/5*a + 12/5*a**k - 3/5*a**4 + 0.
-3*a*(a - 2)*(a - 1)**2/5
Let p(h) = 5*h**3 - 363*h**2 - 381*h + 685. Let k(n) = 10*n**3 - 727*n**2 - 764*n + 1355. Let j(b) = 3*k(b) - 7*p(b). Factor j(a).
-5*(a - 73)*(a - 1)*(a + 2)
Let k = 912 - 1614. Let v = k + 706. Determine l, given that 0 - 3/8*l - 3/2*l**5 + 15/8*l**3 - 9/8*l**v + 9/8*l**2 = 0.
-1, 0, 1/4, 1
Let q(o) be the first derivative of 27/4*o**3 - 11*o**2 - 3/8*o**4 + 27 + 0*o + 1/120*o**5. Let v(j) be the second derivative of q(j). Factor v(x).
(x - 9)**2/2
Let s(f) be the first derivative of -18*f + 1/2*f**2 - 6 + 1/30*f**6 + 0*f**5 + 0*f**3 - 1/6*f**4. Let q(l) be the first derivative of s(l). Factor q(a).
(a - 1)**2*(a + 1)**2
Suppose -4*o - 29 = v - 87, 2*v = o - 10. Let j be (-2 + (-5)/20)*4/(-3). Let o*t**2 + t**3 + 7*t + 5*t**j - 3*t = 0. Calculate t.
-2, -1/3, 0
Let i(l) = l**2 - 1. Let p be i(-2). Suppose -28 = -4*w + g + 3*g, w + 2*g = 1. Factor 0*f + 4/9*f**p - 2/9*f**4 + 0*f**2 + 0 - 2/9*f**w.
-2*f**3*(f - 1)*(f + 2)/9
Let j = -1132 + 1151. Suppose -3*f - 3*h + j = -h, -8*f + 44 = 4*h. Suppose -4/17*w**2 - 2/17*w + 4/17 + 2/17*w**f = 0. What is w?
-1, 1, 2
Determine q, given that 103*q**2 - 1073*q**2 + 120*q**3 + 99*q - 2025 + 2781*q - 5*q**4 = 0.
1, 5, 9
Let v(q) be the second derivative of -q**7/252 - q**6/12 + 11*q**5/40 - 17*q**4/72 - 660*q + 2. What is f in v(f) = 0?
-17, 0, 1
Suppose -3 + 15 = 4*n + 2*u, -n + 10 = -3*u. Let 20*w + 94*w**4 + 14*w - 6*w**3 - 2*w - 93*w**n = 0. What is w?
-2, 0, 4
Let x(t) = -t**3 + 1. Let m(z) = -4*z**3 + 5*z**2 - 1. Let k(n) = 2*n**2 + 53*n - 85. Let o be k(-28). Let l(p) = o*m(p) - x(p). Factor l(u).
5*u**2*(u - 1)
Let r(s) = s**2 - 648*s - 9268. Let u be r(-14). Let -1/2*x**5 + 1/2*x**3 + x**2 + u - x**4 + 0*x = 0. What is x?
-2, -1, 0, 1
Let v(c) be the first derivative of -30*c**2 + 3/2*c**3 - 33 + 39/2*c. Factor v(u).
3*(u - 13)*(3*u - 1)/2
Let b(t) be the third derivative of t**8/2016 - 65*t**7/252 + 9*t**6/20 - 3462*t**2. Factor b(d).
d**3*(d - 324)*(d - 1)/6
Let 112*g + 128*g**2 + 116/7*g**3 + 4/7*g**4 + 0 = 0. What is g?
-14, -1, 0
Let f(k) be the second derivative of 0*k**2 + 39*k + 3/100*k**5 - 9/10*k**3 + 0 + 0*k**4. Factor f(d).
3*d*(d - 3)*(d + 3)/5
Let p be (-11781)/(-2805)*15/21. Suppose 0 + 1/6*h**p + 5/6*h - h**2 = 0. What is h?
0, 1, 5
Factor 0 + 0*x + 2/7*x**4 - 52*x**2 + 362/7*x**3.
2*x**2*(x - 1)*(x + 182)/7
Let j(z) be the second derivative of -5*z**4/12 + 1835*z**3/2 + 2755*z**2 + 8*z - 180. Find d, given that j(d) = 0.
-1, 1102
Let s = 49 - 46. Suppose -s*i + 4*z = -0 - 2, -4*i - z = -9. Factor -21*l**3 - 4*l + i*l + 10*l**2 - 3*l + 16*l**3.
-5*l*(l - 1)**2
Find g such that 2/3*g**2 + 1/3*g**5 - 179/3*g + 178/3*g**3 - 91/3*g**4 + 89/3 = 0.
-1, 1, 89
Let h(f) be the first derivative of f**5/5 - f**4/4 - 12*f**3 + 18*f**2 + 1409. Determine d, given that h(d) = 0.
-6, 0, 1, 6
What is y in 931*y**3 + 558*y + 12*y**2 - y**4 + 4*y**4 - 351 - 240*y**2 - 913*y**3 = 0?
-13, 1, 3
Let u = -326 + 623. Factor -3*i**3 - 2*i**3 + 25*i**2 + 2*i**3 - u*i + 243 + 32*i**2.
-3*(i - 9)**2*(i - 1)
Suppose 2*d = 5*i - 39, 0 = 4*i - 2*d + 5 - 35. Find j such that -i*j**4 + 2*j**3 - 5*j**3 + 9*j**4 + 6*j**4 = 0.
0, 1/2
Factor 480 + 2/15*h**2 - 16*h.
2*(h - 60)**2/15
Let i(c) be the third derivative of -17/300*c**6 - 2/15*c**5 + 0*c**3 - 104*c**2 + 0 + 0*c - 1/20*c**4. Let i(b) = 0. Calculate b.
-1, -3/17, 0
Suppose -2*y - 15 = -s - 5, -8 = 2*s + 3*y. Determine j so that -4/7*j - 2/7*j**s + 6/7 = 0.
-3, 1
Let d(h) be the second derivative of -5/12*h**4 - 4 + 30*h**2 + 55/6*h**3 - 2*h. Factor d(g).
-5*(g - 12)*(g + 1)
Let f(t) be the second derivative of t**4/24 - 117*t**3/2 + 123201*t**2/4 - 849*t. Determine k so that f(k) = 0.
351
Let i(p) be the second derivative of -49*p**5/100 - 9842*p**4/15 + 11254*p**3/15 - 1608*p**2/5 - 48*p - 133. Solve i(v) = 0.
-804, 2/7
Let b(f) be the second derivative of f**5/20 - 11*f**4/6 - 193*f**3/6 - 145*f**2 - 273*f - 1. Find p, given that b(p) = 0.
-5, -2, 29
What is l in 1385*l + l**3 - 1360*l + 57 - 32*l**2 - 3 + 4*l**2 = 0?
-1, 2, 27
Let w = 11268 + -45065/4. Let z(p) = -p**3 + 2*p**2 + 5*p - 3. Let m be z(3). Factor w*x**4 - 3*x**m + 3/4*x**2 + 0 + 1/2*x.
x*(x - 1)**2*(7*x + 2)/4
Find c, given that -8*c - 2/9*c**2 - 136/9 = 0.
-34, -2
Let j(n) be the first derivative of -9*n**5/5 - 79*n**4/4 - 54*n**3 + 20*n**2 + 8367. Suppose j(y) = 0. Calculate y.
-5, -4, 0, 2/9
Let o(s) be the second derivative of s**10/15120 - s**8/672 + s**6/90 - 25*s**4/12 - 63*s. Let f(m) be the third derivative of o(m). Let f(j) = 0. Calculate j.
-2, -1, 0, 1, 2
Let s be (8 + -6 - -2) + (-3 - (-5 + 1)). Let z = 92 - 45. Factor -5*x**s - 20*x**4 - 67*x**3 - 7*x**2 - z*x**3 + 89*x**3 - 3*x**2.
-5*x**2*(x + 1)**2*(x + 2)
Let g(c) be the third derivative of c**5/210 + 47*c**4/84 - 14*c**3/3 + 2004*c**2. Factor g(z).
2*(z - 2)*(z + 49)/7
Let f(y) = -4*y**3 - 4*y**2 + 2*y. Let o(t) = 3*t**3 + 3*t**2 - 2*t. Let a = -215 + 213. Let q(i) = a*f(i) - 3*o(i). Determine r so that q(r) = 0.
-2, 0, 1
Let s be (6 + -7)*(-9)/3. Suppose s = g - 5*t, t = -4*t + 5. What is u in -2*u**4 + u**2 - 7 + 13 + 8*u**3 - 5*u**2 - g*u = 0?
-1, 1, 3
Let z(b) be the first derivative of 0*b**4 + 0*b**5 + 0*b - 9 + 1/1500*b**6 + 0*b**3 + 11/2*b**2. Let u(y) be the second derivative of z(y). Factor u(s).
2*s**3/25
Solve -18360*f - 56628*f**2 - 19 - 116 - 417772*f**2 - 12577280*f**3 - 357920*f**2 = 0 for f.
-3/136
Suppose 0*s + 96 = 5*f - s, f - 4*s = 4. Suppose f*q - 5*k = 15*q + 5, 0 = -4*q - 3*k + 11. What is u in -1/5*u**3 + 2/5 + 1/5*u - 2/5*u**q = 0?
-2, -1, 1
Let n be 4/(-1)*(-2662)/(6 - 5). Determine p, given that -2*p**3 + n - 1452*p - 108*p**2 + 174*p**2 + p**3 = 0.
22
Let k(f) be the first derivative of -1/15*f**4 - 8/5*f**3 - 72/5*f**2 + 9 - 8*f. Let h(c) be the first derivative of k(c). Determine y so that h(y) = 0.
-6
Let t be ((-15)/(-12))/(15/(-60)). Let f be 4/(-8) + 0 - t/2. Factor -4*k**3 - 1 - 3*k**f - 5*k**3 + 0*k + 5*k.
-(k + 1)*(3*k - 1)**2
Let c(b) be the third derivative of b**7/560 + b**6/320 - b**5/40 - b**4/16 - 109*b**2 - b. Let c(w) = 0. What is w?
-2, -1, 0, 2
Let u(n) be the second derivative of 5*n**7/42 + 7*n**6/6 + n**5 - 5*n**4 - 594*n. Factor u(f).
5*f**2*(f - 1)*(f + 2)*(f + 6)
Let u(k) be the second derivative of 3892729*k**4/16 + 1973*k**3/2 + 3*k**2/2 - 2289*k. Factor u(x).
3*(1973*x + 2)**2/4
Let w(a) be the first derivative of a**4/16 + 19*a**3/6 + 37*a**2/8 - 1596. Factor w(t).
t*(t + 1)*(t + 37)/4
Let o be -4 - 2290*-1*4/5. Let t = o - 1242. Solve 12*k**2 - 595*k - 4*k**3 + k**3 + t*k = 0.
0, 1, 3
Let u be 54/(-21)*((-28)/1)/4. Suppose -12 + u = 3*a. Factor 2*h**3 - a*h**3 + 4*h**4 + 3 - 2*h - 4*h**2 + 2*h**3 - 3*h**4.
(h - 1)**2*(h + 1)*(h + 3)
Let s(m) be the first derivative of -6/5*m**2 - 3/10*m**4 + 12/5*m - 129 + 3/5*m**5 - 3*m**3. Let s(y) = 0. Calculate y.
-1, 2/5, 2
Suppose 5*t - 25 = n - 0*t, 3*t = 18. Let y(s) be the third derivative of -23*s**2 + 0*s + 65/24*s**4 - 5/3*s**3 + 3/8*s**6 + 0 - 5/3*s**n. Factor y(v).
5*(v - 1)**2*(9*v - 2)
Let k = 6379/5 - 1214. Let h = 63 - k. Factor 0*u - 3/5*u**5 + 0 + 0*u**2 - 3/5*u**3 - h*u**4.
-3*u**3*(u + 1)**2/5
Suppose -4*k + 6 = -18. Let s(x) = 12*x**2 + 5*x - 3. Let l(q) = q**2 + 9*q + 62*q**2 + 2 - 7 - 40*q**2. Let z(c) = k*l(c) - 10*s(c). Factor z(i).
2*i*(9*i + 2)
Let w(r) be the third derivative of 0*r - 1/100*r**5 + 0 - 1/20*r**4 - 45*r**2 + 0*r**3 + 1/200*r**6. Solve w(b) = 0 for b.
-1, 0, 2
Suppose -8*c + 582 - 414 = -2*c. Find y, given that 60*y**2 - c*y**3 - 92/3*y - 4/3*y**4 + 0 = 0.
-23, 0, 1
Let t(l) = -l - 4. Let b = -29 + 23. Let g be t(b). Determine f so that g*f**2 + 3*f**2 + 2*f**2 - 2*f**2 - 5*f**3 = 0.
0, 1
Let i be ((-24)/(-28))/(((-50895)/189)/(-13) + 96/(-6)). Factor 0 + i*f**2 - 144/11*f.
2*f*(f - 72)/11
Let o(v) be the third derivative of v**7/12600 - v**6/1800 - v**5/75 + v**4/3 + 23*v**2 + 2*v. Let x(s) be the second derivative of o(s). Solve x(f) = 0.
-2, 4
Let w be 203/63 - 10/45. Suppose 14*o - 10*o = 4, 2*d = o + w. Determine a, given that 1/2*a**2 + 2 + d*a = 0.
-2
Let u(c) be the first derivative of -c**6/40 - 7*c**5/4 - 36*c**4 + 162*c**3 + c**2 - 113*c + 9. Let g(d) be the second derivative of u(d). Factor g(y).
-3