0. What is c?
-4, -1, 0
Let s(b) be the third derivative of -2*b**7/105 + 2*b**6/3 + 43*b**5/15 + 11*b**4/3 - b**2 - 310. Factor s(y).
-4*y*(y - 22)*(y + 1)**2
Let u(x) be the first derivative of -180*x**2 - 25/2*x**4 + 135*x - 95*x**3 + 17. Factor u(g).
-5*(g + 3)**2*(10*g - 3)
Let i(h) be the third derivative of -h**7/105 - 7*h**6/60 - 17*h**5/30 - 17*h**4/12 - 2*h**3 + 3801*h**2. Factor i(a).
-2*(a + 1)**2*(a + 2)*(a + 3)
Let t(a) be the second derivative of -a**4/6 - 47*a**3/3 - 48*a**2 - 17*a - 6. Let u(z) = 3*z + 1. Let o(h) = -t(h) + 2*u(h). Factor o(l).
2*(l + 1)*(l + 49)
Let i be 106/14151*15/(-2). Let x = 193/267 + i. Factor 0 + 4/3*l - x*l**2.
-2*l*(l - 2)/3
Solve -12*c**5 - 1565*c**3 - 13*c**5 - 2340*c + 3180*c**2 + 211*c**4 - 107*c**4 + 226*c**4 = 0 for c.
0, 2, 3, 26/5
Let s be (-14)/(-147) + 2422/(-47040). Let h(a) be the third derivative of 8*a**2 + 1/4*a**3 + 7/32*a**4 - s*a**6 + 0 + 0*a - 1/40*a**5. Solve h(j) = 0 for j.
-1, -2/7, 1
Let -181/2*o + 0 + 1/2*o**2 = 0. What is o?
0, 181
Factor -2/5*c**4 - 442/5*c**2 + 64/5*c**3 + 0 - 1156/5*c.
-2*c*(c - 17)**2*(c + 2)/5
Let x = 56277 + -56274. Factor 11/3*r**2 + 1/3*r**x + 0 + 0*r.
r**2*(r + 11)/3
Let f = 89 + 25. Suppose -4*v - 2*y = -492, v + y - f = 5*y. Factor -7*i**4 + 28*i**3 + 168*i + v*i**2 + 39 + 33 + 2*i**4 + 7*i**4.
2*(i + 1)**2*(i + 6)**2
Let n be (372/12 - 5) + -23. Factor 8*q - 20/7*q**2 + 2/7*q**n - 48/7.
2*(q - 6)*(q - 2)**2/7
Let t(r) = -r**3 + 4*r**2 - r + 8. Let u be t(0). Let o(w) = w**2 - 1. Let n(q) = -4*q**2 - 64*q + 68. Let h(i) = u*o(i) + n(i). Suppose h(p) = 0. Calculate p.
1, 15
Determine b, given that -23/11*b**3 + 48/11*b + 52/11 + 15/11*b**4 - 43/11*b**2 - 1/11*b**5 = 0.
-1, 2, 13
Let k be (-2)/6 - (-3 + (-8)/(-3)). Suppose k = -5*q + 19 + 36. Factor -43*x**2 - 6*x + 32*x**3 + 28*x**2 - q*x**3.
3*x*(x - 1)*(7*x + 2)
Find k, given that -1/7*k**2 + 1184/7 - 292/7*k = 0.
-296, 4
Let i = -39 + 39. Suppose i = -p - 5*g + 24, -5*p - 3*g + 36 = g. Factor -3*k**p - 6 + 3*k**3 + 6 + 4*k**2 + 2*k**4.
-k**2*(k - 4)*(k + 1)
Suppose -4*g = -12, -87*g = 3*w - 84*g + 9. Let b = w + 6. Factor -25/4*z + b - 5/4*z**2.
-5*z*(z + 5)/4
Let m(x) be the second derivative of -1/3*x**4 - 20*x**3 - 450*x**2 - 3 + 4*x. Factor m(n).
-4*(n + 15)**2
Let k(s) be the first derivative of -s**7/84 + s**6/20 - 3*s**5/40 + s**4/24 + 16*s + 51. Let j(a) be the first derivative of k(a). Factor j(g).
-g**2*(g - 1)**3/2
Let x(u) be the first derivative of -7*u**5/20 - 47*u**4/8 - 43*u**3/3 + 87*u**2/4 + 99*u/4 - 9412. Determine v, given that x(v) = 0.
-11, -3, -3/7, 1
Let j = 28/165 - -64/55. Suppose -4*c - 20 = 0, 37 = -y - 5*c + 14. Factor -1/3*l**4 - j*l**y + 0 - 4/3*l**3 + 0*l.
-l**2*(l + 2)**2/3
What is w in -220*w**3 - 4641 + 223*w**3 - 72*w + 4641 - 42*w**2 + 3*w**4 = 0?
-3, -2, 0, 4
Let m(h) = 26*h**2 - 97*h - 17. Let l(k) = 3*k**2 - 12*k - 2. Let y be (-17)/(-1)*(-24)/8. Let v(f) = y*l(f) + 6*m(f). Determine i so that v(i) = 0.
-10, 0
Let m = 892 - 54416/61. Let v = m + 410/671. Solve 4/11 + 2/11*t**2 - v*t = 0.
1, 2
Suppose 5*d = 25, 0 = -2*y + 3*y + 3*d - 27. Let -20 + 11 - 24*f - 45*f**2 - f**4 + 15*f**2 - y*f**3 - 4*f = 0. What is f?
-9, -1
Let j = 1449 + -1437. Let v(z) = 6*z - 68. Let a be v(j). Let 1/3*m + 3/2*m**2 + 0 + 1/3*m**5 + 7/3*m**3 + 3/2*m**a = 0. Calculate m.
-2, -1, -1/2, 0
Let j(v) = -17*v - 124. Let w(u) = -16*u - 123. Let s(y) = -4*j(y) + 5*w(y). Let o be s(-10). Find z such that 1/6*z**2 - o + 5/6*z = 0.
-6, 1
Let w(c) be the second derivative of 5*c**4/12 + 1385*c**3/3 + 383645*c**2/2 + 181*c + 2. Suppose w(o) = 0. What is o?
-277
Let i(g) = 2 + 7*g + 3*g**2 + 4*g - 7*g. Let w be i(-2). What is r in w*r**3 + 2*r**3 - 5*r**3 = 0?
0
Suppose -6*f + 8*f - 8 = 0. What is i in -4*i**3 + i**2 - 21*i**2 - 11*i**3 + 5*i**f = 0?
-1, 0, 4
Let z(c) be the first derivative of -c**6/1620 + c**5/90 - 5*c**4/108 - c**3/3 + 2*c - 80. Let g(r) be the third derivative of z(r). Factor g(x).
-2*(x - 5)*(x - 1)/9
Factor 87*k + 7/4*k**2 - 25.
(k + 50)*(7*k - 2)/4
Let r(y) be the third derivative of -y**6/420 + 43*y**5/42 + y**4/84 - 215*y**3/21 - 593*y**2 - 3*y - 2. Suppose r(d) = 0. Calculate d.
-1, 1, 215
Let m(i) = -i**3 + 34*i**2 + 71*i + 57. Let o be m(36). Suppose -o*w + 339 = -837. Factor -2/7*u**2 - w + 8*u.
-2*(u - 14)**2/7
Let g(c) = -c**3 - 25*c**2 - 161*c - 566. Let x be g(-18). Factor -64/9*o**3 - 36 - 184/9*o**2 + x*o - 4/9*o**4.
-4*(o - 1)**2*(o + 9)**2/9
Let q(c) be the first derivative of 2*c**6/9 + 32*c**5/5 + 160*c**4/3 + 280*c**3/3 - 322*c**2/3 - 312*c + 8908. Solve q(y) = 0.
-13, -9, -2, -1, 1
Let f = 556 + -552. Factor 15*v**2 + 16*v**2 + 3*v + f*v**2 - 29*v**2.
3*v*(2*v + 1)
Factor 16*n**4 - 357*n - 359*n**3 - 11 + 31*n**3 - 131*n + 75 - 44*n + 1185*n**2.
(n - 16)*(n - 4)*(4*n - 1)**2
Let w(g) = g**2 + g. Let p(t) = 34*t - 56. Let r(b) = p(b) - 2*w(b). Solve r(d) = 0.
2, 14
Let z(a) = -a**3 + a**2. Let u(k) = k**3 + 35*k**2 - 70*k + 34. Suppose -r = 2*b - 10 + 9, -b + r + 5 = 0. Let w(x) = b*u(x) + 6*z(x). Factor w(h).
-4*(h - 17)*(h - 1)**2
Let a = -32/3735 + 59984/26145. What is u in -10/7*u**2 + 6/7*u**3 + a - 12/7*u = 0?
-4/3, 1, 2
Factor 2/5*y**2 + 12/5 - 2*y.
2*(y - 3)*(y - 2)/5
Let a be ((-2)/10)/(1116/90). Let m = a + 251/186. Factor 0 + m*n + 1/3*n**2.
n*(n + 4)/3
Let g be 162588/(-32640) - (-2 - (-3)/(-1)). Let a(t) be the second derivative of -1/16*t**4 + 0 + 1/16*t**3 + g*t**5 + 0*t**2 - 11*t. Factor a(h).
3*h*(h - 1)**2/8
Let d be (120/(-100))/((-2)/(-70)). Let p be d/(-24) - 2/(-8). Factor -2*g**3 - 4*g**2 + p*g**2 + 6*g + 5 - 4*g - 3.
-2*(g - 1)*(g + 1)**2
Factor -270 + 3*t**3 + 63*t**2 + 339*t - 123*t**2 - 12*t**2.
3*(t - 18)*(t - 5)*(t - 1)
Let b(c) be the first derivative of 5/12*c**3 - 5/2*c - 39 + 5/8*c**2. Determine m so that b(m) = 0.
-2, 1
Let -6*l**2 - 9/4*l**3 + 45/2 + 123/4*l = 0. What is l?
-5, -2/3, 3
Let g(i) be the third derivative of i**8/16800 - 13*i**7/6300 - 91*i**4/24 - 105*i**2. Let b(o) be the second derivative of g(o). Factor b(j).
2*j**2*(j - 13)/5
Let w(q) be the first derivative of 7*q**4/60 + 8*q**3/15 + 51*q - 51. Let h(y) be the first derivative of w(y). Let h(d) = 0. What is d?
-16/7, 0
Let d(k) be the first derivative of k**6/2880 - k**5/320 - k**4/48 - 5*k**3 - k - 147. Let o(y) be the third derivative of d(y). Let o(m) = 0. Calculate m.
-1, 4
Let b(h) be the third derivative of h**7/42 + h**6/24 - 7*h**5/6 - 5*h**4 + 256*h**2. Suppose b(j) = 0. What is j?
-3, -2, 0, 4
Let v(r) be the third derivative of r**8/252 - 8*r**7/105 + 256*r**5/45 - 808*r**2. Determine i so that v(i) = 0.
-4, 0, 8
Let y(q) be the first derivative of -q**4/3 - 2*q**3 - 4*q**2 - 14*q - 48. Let g(z) be the first derivative of y(z). Determine h so that g(h) = 0.
-2, -1
Suppose -36*d**2 - 290/11*d**3 - d**5 - 243/11*d - 94/11*d**4 - 54/11 = 0. What is d?
-3, -1, -6/11
Let y(g) be the third derivative of -g**6/660 - 749*g**5/330 - 17*g**4/3 + 1051*g**2. Find q, given that y(q) = 0.
-748, -1, 0
Suppose -4*a = -2*t - 16, 0*a = -t + 5*a - 2. Let r be t + (-7)/((-70)/155). Find b such that r + 1/2*b**2 - 4*b = 0.
1, 7
Suppose 139*u - 11*u - 384 = 0. Let b(v) be the first derivative of -9 + 1/22*v**4 + 0*v + 4/33*v**u + 1/11*v**2. Let b(j) = 0. What is j?
-1, 0
Let q(w) be the second derivative of 2*w + 41/6*w**3 + 0*w**2 + 0*w**4 - 1/315*w**5 + 6 + 1/3780*w**6. Let u(k) be the second derivative of q(k). Factor u(d).
2*d*(d - 4)/21
Let z(d) be the first derivative of d**7/560 + 3*d**6/80 + d**5/10 - 80*d**3/3 - 14. Let l(u) be the third derivative of z(u). Factor l(q).
3*q*(q + 1)*(q + 8)/2
Let r(l) be the second derivative of -5*l**4/12 - 295*l**3/6 + 465*l**2 + 3302*l. Factor r(g).
-5*(g - 3)*(g + 62)
Let s(g) be the second derivative of 1/42*g**4 - 3/7*g**3 + 0 + 72*g + 8/7*g**2. Factor s(u).
2*(u - 8)*(u - 1)/7
Let n be (24/(-28))/((-6)/(-28)) + -860. Let l = n + 864. Factor u**2 - 4/3*u + l + 1/3*u**3.
u*(u - 1)*(u + 4)/3
Suppose -5572*g - 1763*g = -22005. Solve 0 + 0*t + 2/11*t**g - 30/11*t**2 = 0.
0, 15
Let w(a) be the first derivative of -7/5*a**5 - a**2 + a - 81 + 2*a**4 + 1/3*a**6 - 2/3*a**3. Solve w(y) = 0.
-1/2, 1
Let x(s) = -210*s + 1050. Let l be x(5). Let j(q) be the second derivative of 0 + 0*q**6 + 0*q**3 + 0*q**2 + l*q**4 + 