 + 27*a - 5*a**5 + q*a**2 + 8 + 40*a**4 = 0.
1, 4
Let f = 50558 + -50556. Suppose 0 + 2/5*q + 1/5*q**f + q**4 - 8/5*q**3 = 0. Calculate q.
-2/5, 0, 1
Let u(b) be the third derivative of b**9/3024 - b**8/840 - b**7/280 - 25*b**3/2 + 77*b**2. Let r(q) be the first derivative of u(q). Let r(d) = 0. What is d?
-1, 0, 3
Let z(b) be the third derivative of b**5/60 - b**4/8 - 11*b**3/3 - 7*b**2. Let o be z(-5). Factor -6*a + 2*a - 2*a**2 + 0*a**2 + o*a.
-2*a*(a - 7)
Let d be (-3 + 4)/((-11)/66). Let p(y) = 13*y + 78. Let m be p(d). Determine n, given that -3/4*n**3 - 1/4*n - 1/4*n**4 - 3/4*n**2 + m = 0.
-1, 0
Let u(t) = -20*t - 35. Let g(n) = 3*n + 6. Let d(h) = 25*g(h) + 4*u(h). Let y be d(-10). Solve -31*w + 15 - 12*w - 30*w**3 + y*w**2 - 7*w + 5*w**4 = 0.
1, 3
Let y(d) = 99*d**2 + 2781*d + 2778. Let c(n) = -83*n**2 - 2782*n - 2779. Let q(s) = -6*c(s) - 5*y(s). Suppose q(g) = 0. What is g?
-928, -1
Let g(q) be the first derivative of 5*q**3 + 4179*q**2/2 + 2502*q + 5774. Factor g(k).
3*(k + 278)*(5*k + 3)
Let g = 189454 + -1705030/9. Determine s so that 20/9*s + 16/3*s**3 + 0 + 8/9*s**4 - 4/9*s**5 + g*s**2 = 0.
-1, 0, 5
Let w(p) = p**2 + 2. Let y(h) = 8*h**2 - 2*h + 8. Suppose -v = -7*v - 36. Let m(d) = v*w(d) + y(d). Factor m(l).
2*(l - 2)*(l + 1)
Let b(t) be the second derivative of -3/8*t**4 + 133*t + 0 - 5/8*t**3 + 3/8*t**2. Determine n so that b(n) = 0.
-1, 1/6
Let h(f) = 5*f**3 - 187*f**2 - 1329*f - 1137. Let d(m) = 45*m**3 - 1685*m**2 - 11960*m - 10230. Let p(a) = -4*d(a) + 35*h(a). Factor p(r).
-5*(r - 45)*(r + 1)*(r + 5)
Let k(u) be the third derivative of u**6/30 - 2*u**5 + 9*u**4/2 + 116*u**3/3 - 392*u**2. Factor k(d).
4*(d - 29)*(d - 2)*(d + 1)
Let i(l) be the third derivative of l**8/84 + 109*l**7/315 + 11*l**6/180 - 127*l**5/90 - 17*l**4/36 + 2*l**3 - 734*l**2. Determine h, given that i(h) = 0.
-18, -1, -1/2, 1/3, 1
Let x(h) = -h**3 + 4*h**2 - 5*h + 1. Let m be x(2). Let p be 60/32 + m/(-8). Factor -2*w**2 - 4*w**2 + 0*w + 5*w**p - w.
-w*(w + 1)
Let j(f) be the second derivative of -1/20*f**5 + 0*f**4 + 1/210*f**7 + 0*f**3 + 2/75*f**6 + 0*f**2 + 29 + f. Factor j(z).
z**3*(z - 1)*(z + 5)/5
Let s(q) = -22*q - 78. Let m be s(-10). Suppose -m*a + 8 = -138*a. Let 0 + 3/2*c - 3*c**a + 15/8*c**3 - 3/8*c**4 = 0. Calculate c.
0, 1, 2
Let x be -2*(-2)/(-3)*108/(-48). Factor 28*k - 24*k**2 - 4*k**x + 20*k + 40*k**2.
-4*k*(k - 6)*(k + 2)
Suppose -7*b - 7*b + 952 = 0. Factor 3*s**2 - b*s + 68*s.
3*s**2
Suppose -57*x = 3*v - 56*x, -8*v = -3*x - 34. Let f(i) be the first derivative of 9/4*i**v - 40 - 1/6*i**3 - 4*i. Factor f(a).
-(a - 8)*(a - 1)/2
Determine c, given that 2/3 - 2/3*c**2 + 1/3*c**3 - 1/3*c = 0.
-1, 1, 2
Suppose 7*n = -p + 11*n + 50, -5*p + 15*n = -190. Suppose -3/2*h**4 + 0 + 9*h**3 - 15/2*h**p + 0*h = 0. What is h?
0, 1, 5
Suppose 89*f + 71 = -2*b + 84*f, -2*b = -9*f - 139. Determine t, given that 12/7*t**2 - b*t + 2/7 = 0.
1/6, 1
Suppose 369 = -9*h + 4*h - 2*j, 3*h - 4*j = -237. Let n = -367/5 - h. Factor -2/5*o**4 + 0*o - n*o**2 + 0 - 8/5*o**3.
-2*o**2*(o + 2)**2/5
Let s(d) = -2*d**3 - 28*d**2 + d + 19. Let o be s(-14). Factor o*q**2 + 100 + 178*q - 371*q + 148*q.
5*(q - 5)*(q - 4)
Let u(m) be the third derivative of m**6/480 + 523*m**5/240 + 22881*m**4/32 + 22707*m**3/8 - 5*m**2 - 103*m. Factor u(i).
(i + 1)*(i + 261)**2/4
Let s(n) = 2*n**2 + 6*n - 137. Let b = -37 + 44. Let y be s(b). What is a in 21/8*a**2 - 3/2 + 15/8*a**3 - y*a = 0?
-2, -2/5, 1
Let o(u) be the second derivative of -u**5/160 - 43*u**4/96 - 65*u**3/6 - 75*u**2 + 1227*u. Factor o(x).
-(x + 3)*(x + 20)**2/8
Let x(m) be the first derivative of -m**4 + 16/3*m**3 + 0*m - 6*m**2 + 121. Factor x(r).
-4*r*(r - 3)*(r - 1)
Let z(a) be the first derivative of a**5/30 - 4*a**4/3 + 5*a**3 - 30*a**2 - 102. Let l(t) be the second derivative of z(t). What is k in l(k) = 0?
1, 15
Let o(i) be the second derivative of -1/30*i**5 - 4/3*i**3 - 19*i + 3/2*i**2 + 0 + 13/36*i**4. Factor o(y).
-(y - 3)**2*(2*y - 1)/3
Let c(r) be the second derivative of -r**7/56 + 7*r**6/20 - 27*r**5/20 + 17*r**4/8 - 11*r**3/8 + 418*r. Factor c(u).
-3*u*(u - 11)*(u - 1)**3/4
Let b(u) be the second derivative of u**7/21 + 2*u**6 - 31*u**5/10 - 4230*u. Let b(y) = 0. Calculate y.
-31, 0, 1
Let w be 18/(-189)*(10 + -24). Let -w*i - 5/3*i**2 + 1/3 = 0. Calculate i.
-1, 1/5
Let x = 310309/14365 - 5/2873. Find f, given that 11664/5 - 1944/5*f + x*f**2 - 2/5*f**3 = 0.
18
Factor 245*l**4 - 45*l**3 - 1782*l + 1260 - 665*l**2 + 233*l**3 - 800*l**2 + 1352*l**3 + 282*l.
5*(l + 1)*(l + 7)*(7*l - 6)**2
Let v(g) be the third derivative of -5*g**8/672 - 19*g**7/140 + 43*g**6/240 + 27*g**5/40 - 19*g**4/24 - 2*g**3 + 1194*g**2. Find s such that v(s) = 0.
-12, -1, -2/5, 1
Let x(o) = 2*o**3 + 194*o**2 - 213*o - 1664. Let v be x(-98). Factor -124/3*b + 16 + 28/3*b**v.
4*(b - 4)*(7*b - 3)/3
Let j(r) = r**3 - 2*r**2 - 3*r. Let u be j(5). Let o be (-5)/(u/(-58)) + (-1)/(-6). Factor -4*x - 30*x**2 - 6*x**4 + 1 - o - 14*x - 22*x**3.
-2*(x + 1)**3*(3*x + 2)
Factor -75/8*p**3 + 777/8*p - 39/4 - 240*p**2.
-3*(p + 26)*(5*p - 1)**2/8
Factor 46011*v + 15*v**2 - 108 + 240*v**3 - 372 - 46721*v - 4*v**4 - v**4.
-5*(v - 48)*(v - 2)*(v + 1)**2
Let t(s) be the second derivative of s**4/24 - 245*s**3/12 + 243*s**2/2 + 12232*s. Solve t(v) = 0 for v.
2, 243
Factor -3744/7*q - 4/7*q**2 + 0.
-4*q*(q + 936)/7
Suppose 54*q - 126*q**2 + 3/2*q**5 - 21*q**4 + 0 + 183/2*q**3 = 0. What is q?
0, 1, 6
Let o be ((12/30)/((-24)/15))/(3/(-36)). Determine h, given that 0*h + h**2 + 0 - 1/3*h**o = 0.
0, 3
Let o = -2213 - -2241. Let r(x) be the first derivative of -4 - o*x**3 - 8*x**4 + 0*x - 4/5*x**5 - 36*x**2. Factor r(f).
-4*f*(f + 2)*(f + 3)**2
Suppose 2*r + 3*r + 2*v - 92 = 0, -3*v - 72 = -3*r. Suppose -3*k**5 + 52*k**2 + 8 + 5*k**5 - 14*k**5 + 4*k**5 + 36*k + r*k**3 - 12*k**4 = 0. Calculate k.
-1, -1/2, 2
Let q be 315/42*-2*(-1)/3. Suppose v = x - 2, 5*v + 0*x = -q*x + 40. Determine z, given that 13*z**3 - 14*z**4 - 391*z**5 + 8*z**2 + v*z**3 + 381*z**5 = 0.
-2, -2/5, 0, 1
Let k(v) be the first derivative of 1/90*v**6 + 1/30*v**5 - 4 + 1/36*v**4 + 0*v**2 + 4*v + 0*v**3. Let n(u) be the first derivative of k(u). Factor n(a).
a**2*(a + 1)**2/3
Let t(j) = -2*j**4 + 8*j**4 - j**2 - j**3 - j**5 - 6*j**4. Let p = 73 + -72. Let v(d) = 7*d**5 + 3*d**3 + 4*d**2. Let f(c) = p*v(c) + 6*t(c). Factor f(u).
u**2*(u - 2)*(u + 1)**2
Let b = 160701 - 811207/5. Let y = b + 1544. Suppose -y - 3*r + 3/5*r**2 = 0. What is r?
-1, 6
Suppose -49*u + 51*u - 42 = -2*y, -y + 41 = 5*u. Suppose 4*j - 13 = -1. Factor -7*l**3 + y*l**j + 4*l - 13*l**3.
-4*l*(l - 1)*(l + 1)
Let q(u) be the second derivative of -35/6*u**3 + 30*u**2 + 5/12*u**4 - 55*u + 0. Find j, given that q(j) = 0.
3, 4
Factor -4*i**2 + 377/4*i - 1/4*i**3 + 0.
-i*(i - 13)*(i + 29)/4
Let y(v) be the second derivative of -v**5/60 + v**4/3 - 22*v**3/9 + 8*v**2 + 1215*v + 1. Factor y(s).
-(s - 6)*(s - 4)*(s - 2)/3
Let s(o) be the first derivative of 0*o + 0*o**2 + 0*o**4 - 1/90*o**6 - 7/3*o**3 - 1/30*o**5 - 33. Let q(b) be the third derivative of s(b). Factor q(j).
-4*j*(j + 1)
Let m(g) be the first derivative of g**5/180 - 58*g - 23. Let q(h) be the first derivative of m(h). Solve q(s) = 0 for s.
0
Let h**2 - 4*h - 96*h + 4*h**2 - 521 - h**2 + 305 = 0. Calculate h.
-2, 27
Let d(h) = -2*h**4 + 44*h**3 + 36*h**2 - 35*h - 31. Let s(b) = 3*b**4 - 45*b**3 - 35*b**2 + 33*b + 28. Let w(p) = -4*d(p) - 3*s(p). Factor w(o).
-(o - 1)*(o + 1)**2*(o + 40)
Factor 15*w**4 - 17*w**3 + 19*w**4 + 31*w**4 - 3*w**3 - 61*w**4 + 180*w - 164*w**2.
4*w*(w - 9)*(w - 1)*(w + 5)
Let f(j) = 10*j**2 - 1470*j - 1260. Let x(q) = 3*q**2 - 487*q - 420. Let o(a) = 7*f(a) - 22*x(a). Solve o(i) = 0 for i.
-105, -1
Let y(r) be the third derivative of 7/3*r**4 + 14*r**2 + 3*r + 0 + 22*r**3 + 1/15*r**5. Factor y(a).
4*(a + 3)*(a + 11)
Let q(j) be the second derivative of j**7/63 + j**6/45 - 2*j**5/3 + 100*j. Factor q(m).
2*m**3*(m - 4)*(m + 5)/3
Let t be 41/(-144) - (-3)/48. Let y = t + 49/18. Factor -y*h**3 + 25*h**5 + 15/4*h**4 + 0*h**2 + 0*h + 0.
5*h**3*(4*h - 1)*(5*h + 2)/4
Let o(j) be the third derivative of -j**5/135 - 190*j**4/27 - 758*j**3/27 + 1640*j**2. Find z such that o(z) = 0.
-379, -1
Let n(t) = -6 + 0*t + 5*t + 30 + 30 + t. Let j be n(-9). L