/126*j**7. Factor g(r).
(r + 1)**3*(r + 3)**2/3
Let q(i) = -33*i - 31. Let k be q(-1). Let x(a) be the first derivative of -1 + 0*a**3 + 0*a**k - 1/10*a**4 + 0*a. Factor x(c).
-2*c**3/5
Let y = -104 + 7. Let z = y - -97. Factor z + 2/9*f**3 - 2/9*f**2 + 0*f.
2*f**2*(f - 1)/9
Let s(y) = y**2 - 3*y - 2. Let o be s(-3). Let f(a) = a**2 - 17*a + 22. Let m be f(o). What is p in p + 3*p - p**2 - 3*p - 5*p**4 - p**3 + m*p**4 = 0?
-1, 0, 1
Suppose 3*l = -f - 6, -6*f + f - 4 = 2*l. Let w = f + 2. Suppose 12*s**2 + 0*s**2 - 4*s**4 - 2*s**5 - 4*s**w + 8*s - 6*s**3 + 4*s**5 = 0. Calculate s.
-1, 0, 2
What is h in -104*h**2 + 107*h + 100*h**3 - 16*h**4 + 109*h - 196*h = 0?
0, 1/4, 1, 5
Let t(b) = -b**2 - 13*b + 16. Let v be t(-14). Determine z, given that 5*z**v - 6*z**2 - 16*z**2 + 413 - 80*z - 477 - z**3 = 0.
-8, -1
Let p be (2 - 4)/(2/(-4)). Suppose 0 = p*r + j + 4*j - 23, 9 = 3*j. Factor -2/5*v**r + 2/5*v + 0.
-2*v*(v - 1)/5
Let k = 59/245 - 2/49. Let h(n) be the first derivative of 1/15*n**3 + 1/5*n + 2 + k*n**2. Factor h(y).
(y + 1)**2/5
Suppose -2*r + 63 - 19 = -x, 5*r = 4*x + 113. Solve -12*i**3 + 6*i - r*i**2 - 16*i + 4*i + 3 = 0 for i.
-1, 1/4
Let a(i) be the third derivative of 0*i + i**2 - 2*i**3 + 2/3*i**4 - 1/15*i**5 + 0. Find z such that a(z) = 0.
1, 3
Let r be (-2)/24*(-7 - -6)/1. Let u(c) be the second derivative of 0 + 0*c**2 + r*c**3 - 2*c + 1/48*c**4. Find i such that u(i) = 0.
-2, 0
Let a(m) = 380*m**2 + 1765*m - 560. Let b(k) = 27*k**2 + 126*k - 40. Let x(v) = -4*a(v) + 55*b(v). What is d in x(d) = 0?
-4, 2/7
Let c = 19081/7 + -2725. Let k = 2/21 - -4/21. Factor 0 + 0*m + 2/7*m**2 - k*m**5 + 6/7*m**4 - c*m**3.
-2*m**2*(m - 1)**3/7
Factor 46/5*d**2 - 16/5*d + 0 + 6/5*d**3.
2*d*(d + 8)*(3*d - 1)/5
Suppose 2*x = 5*z - 11, -12*z + 13 = -7*z - x. Suppose t + 6*i - 4*i = 4, z*t + 2*i - 4 = 0. Solve 0 + t*v**2 + 0*v + 2/13*v**4 - 4/13*v**3 = 0 for v.
0, 2
Let r be (-3 - -1)*(-2 + 12/(-6)). Factor r - 140*c**3 - 2*c + 73*c**3 - 8*c**2 + 69*c**3.
2*(c - 4)*(c - 1)*(c + 1)
Let a = -1030 - -1032. Let o(f) be the second derivative of 0 + 1/8*f**4 + 1/4*f**a - 1/4*f**3 + 9*f - 1/40*f**5. Suppose o(r) = 0. What is r?
1
Let n(i) be the first derivative of 2*i**3/3 - 18*i + 199. Factor n(d).
2*(d - 3)*(d + 3)
Let c = 24125/7 + -3439. Let u(q) be the second derivative of -7/15*q**6 + 0 - c*q**4 + q + 128/21*q**3 - 16/7*q**2 + 16/5*q**5. What is v in u(v) = 0?
2/7, 2
Let m be (-5)/(-1)*-1*(-30)/25. Let o be (-20)/45*m/(-12). Factor -i**2 - 1/9*i**4 + 7/9*i - o + 5/9*i**3.
-(i - 2)*(i - 1)**3/9
Let l(i) = i**2 - i - 32. Let s be l(6). Let f be (-16)/(-33) - 1*s/11. Factor f - 1/3*o + 1/3*o**4 - o**2 + 1/3*o**3.
(o - 1)**2*(o + 1)*(o + 2)/3
Suppose x**3 + 1/3*x**2 - 1/3*x**4 + 0 - x = 0. What is x?
-1, 0, 1, 3
Let g = 356/225 + -52/75. Determine k, given that 4/9*k + 0 - 1/9*k**4 + 5/9*k**3 - g*k**2 = 0.
0, 1, 2
Let l(j) be the first derivative of 0*j + 1/9*j**3 - 1 + 1/6*j**2. Factor l(n).
n*(n + 1)/3
Let l(w) be the third derivative of 9*w**2 + 0*w + 0 + 1/12*w**4 - 1/60*w**5 + 0*w**3 - 1/120*w**6. Suppose l(r) = 0. Calculate r.
-2, 0, 1
Let j(k) be the second derivative of k**6/30 - 13*k**5/20 + 35*k**4/12 + 49*k**3/6 - 293*k. Factor j(z).
z*(z - 7)**2*(z + 1)
Let g be ((-4 - 3)/(-1))/1. Let -15*i**2 + g*i**2 + 18*i**2 + 5*i + 5*i**3 = 0. What is i?
-1, 0
Find x, given that 0 + 2/9*x**3 - 8/9*x + 0*x**2 = 0.
-2, 0, 2
Factor 1/5*d**2 + 28*d + 980.
(d + 70)**2/5
Let k(m) be the second derivative of 25*m**7/27 - 20*m**6/9 - 64*m**5/45 + 8*m**4/9 + 16*m**3/27 - 3*m + 12. Solve k(d) = 0.
-2/5, -2/7, 0, 2/5, 2
Let c(u) be the first derivative of -42 - 3*u + u**3 + 3/16*u**4 - 3/8*u**2. Factor c(v).
3*(v - 1)*(v + 1)*(v + 4)/4
Let l = -267 + 5609/21. Let w = 346/105 - l. Let 8/5*d - 2/5 - w*d**3 - 2/5*d**4 + 4/5*d**2 + 8/5*d**5 = 0. What is d?
-1, 1/4, 1
Suppose 0 = -13*v + 19 + 7. Let r(m) be the first derivative of -2*m + 1/3*m**3 - 1/2*m**v + 2. Solve r(b) = 0.
-1, 2
Factor 80/3 + 194/15*m**3 + 152/3*m + 32/15*m**4 + 556/15*m**2 + 2/15*m**5.
2*(m + 2)**3*(m + 5)**2/15
Let d(p) be the first derivative of p**5/180 - p**4/18 - 5*p**3/18 - 35*p**2/2 - 26. Let u(w) be the second derivative of d(w). Factor u(n).
(n - 5)*(n + 1)/3
Let u be -8 - (-5 - 2 - -5). Let t be (-30)/8 - ((-6)/u + -5). Factor 0 + 1/4*n - 1/2*n**2 + t*n**3.
n*(n - 1)**2/4
Let d be -15*3*(-6)/45. Suppose w - d = -w. Factor 4 - 4*l**2 - 2*l**3 + 22*l - 2*l**w - 18*l.
-4*(l - 1)*(l + 1)**2
Suppose 0 = -2*i - 2*p + 116, 5*i - p - 3*p - 254 = 0. Let f(w) be the first derivative of 96/5*w**5 + 57/2*w**2 + 4 - 6*w - i*w**3 + 24*w**4. Solve f(u) = 0.
-2, 1/4, 1/2
Let m(n) be the second derivative of -1/3*n**3 + 0 + n**2 - 1/8*n**4 + 2*n + 1/60*n**6 + 1/20*n**5. Let m(d) = 0. What is d?
-2, 1
Let k be 63 + -72 + (0 - 249/(-27)). Let n(z) = z**3 - 4*z**2 + 5*z - 4. Let q be n(3). Solve 2/9*r**3 + 0 + k*r**4 - 2/9*r**5 - 2/9*r**q + 0*r = 0.
-1, 0, 1
Let 4/15*r**4 + 56/15*r**3 + 4*r**2 - 2/3*r**5 + 0 + 6/5*r = 0. What is r?
-1, -3/5, 0, 3
Let j(q) = -q**2 + 47*q + 504. Let i be j(56). Factor 0*f - 4/23*f**3 - 2/23*f**4 - 2/23*f**2 + i.
-2*f**2*(f + 1)**2/23
Solve 0 + 33489/7*l**2 + 680943/7*l + 3/7*l**4 + 549/7*l**3 = 0 for l.
-61, 0
Let a(i) be the first derivative of i**3 - 99*i**2/2 - 350. Determine p so that a(p) = 0.
0, 33
Let q(i) be the third derivative of 0 + 1/420*i**7 + 1/12*i**4 + 0*i + 0*i**3 - 1/240*i**6 + 17*i**2 - 1/30*i**5. Suppose q(m) = 0. Calculate m.
-2, 0, 1, 2
Let m(r) = -r**3 + 9*r**2 + 16*r + 6. Let u(g) = 2*g**3 - 8*g**2 - 17*g - 7. Let i = -89 + 95. Let w(c) = i*u(c) + 7*m(c). Let w(k) = 0. Calculate k.
-2, -1, 0
Let k = 1077 + -1072. Let c(f) be the third derivative of 0*f**3 - 1/20*f**k - 1/4*f**4 + 0*f - 6*f**2 + 0. Factor c(a).
-3*a*(a + 2)
Let t be (((-100)/5)/(-10))/10. Factor 3/5*g + 0 - t*g**2 - 3/5*g**3 + 1/5*g**4.
g*(g - 3)*(g - 1)*(g + 1)/5
Suppose 12 = 5*l + 7. Let t(f) = f**2. Let a(x) be the first derivative of -4*x**3/3 - 3*x**2 - 3*x - 1. Let m(z) = l*a(z) + t(z). Factor m(p).
-3*(p + 1)**2
Let f = 85023/74389 + -1/10627. Factor f*g**3 - 8/7 - 4*g**2 + 4*g.
4*(g - 2)*(g - 1)*(2*g - 1)/7
Let o(x) be the second derivative of -5*x**4/12 + 50*x**3/3 - 95*x**2/2 + 8*x - 4. Find f, given that o(f) = 0.
1, 19
Solve w**4 + w**5 - 13*w**3 + 23470 + 28*w + 20*w - w**2 - 23506 = 0.
-3, 1, 2
Let h(j) = -j**2 + 15*j + 9. Let w be h(17). Let a = -14 - w. Find b such that 16 - 15*b**2 + 24*b + 2*b**3 + a*b**2 + 16*b**2 = 0.
-2
Let f(y) be the second derivative of -3*y**5/50 - 3*y**4/2 - 38*y**3/5 - 72*y**2/5 + 5*y - 25. Factor f(c).
-6*(c + 1)*(c + 2)*(c + 12)/5
Let t(r) be the first derivative of -r**4/4 - 13*r**3/3 - 8*r**2 + 192*r - 371. Let t(c) = 0. Calculate c.
-8, 3
Find n, given that 1/5*n - 1/5*n**2 + 6/5 = 0.
-2, 3
Find h, given that 729 - 27*h + 1/4*h**2 = 0.
54
Let z(u) be the second derivative of 0 + 14*u - 4/3*u**3 + 1/3*u**4 + 0*u**2. Factor z(o).
4*o*(o - 2)
Let y = -164 - -161. Let q be ((-4)/(-24))/((-2)/y). Find h such that -1/4*h**5 + q*h + 0*h**3 + 1/2*h**4 - 1/2*h**2 + 0 = 0.
-1, 0, 1
Let i be 60/33 - (-6)/33. Let q(h) = -h**3 - 3*h**2 + 6*h + 10. Let x be q(-4). Solve x*p**i + 10*p**3 - 10/9*p - 2/9 = 0.
-1/3, -1/5, 1/3
Suppose 2*n = 3*i - 16, -n - 1 = -0*i + 2*i. Factor -4*q**3 - 8*q**i - 6 + 7 - 1.
-4*q**2*(q + 2)
Let p(d) be the first derivative of -d**4/3 + 56*d**3 - 3528*d**2 + 98784*d - 409. Factor p(y).
-4*(y - 42)**3/3
Factor -683 - 215*q**2 - 5*q**3 - 4897 - 2296*q + 256*q.
-5*(q + 6)**2*(q + 31)
Let p(a) be the first derivative of -a**5/10 - 5*a**4/6 - 40*a - 19. Let c(y) be the first derivative of p(y). Determine s, given that c(s) = 0.
-5, 0
Let b(y) = -5*y**2 - 10*y + 10. Let l = 64 - 63. Let z(k) = k. Let u(d) = l*b(d) + 5*z(d). What is q in u(q) = 0?
-2, 1
Let 26/3*u - 25/3 - 1/3*u**2 = 0. What is u?
1, 25
Let i = -31 - -35. Suppose 5*p = -i*g - 17, -p + 5 = 4*g + 2. Suppose -2/5 - 6/5*u**4 + 0*u + 8/5*u**g + 4/5*u**3 - 4/5*u**5 = 0. Calculate u.
-1, 1/2, 1
Suppose u + 4*b + 4 = 4*u, 4*u + 4*b - 52 = 0. Factor 4*g**3 + 104*g - 104*g - u*g**2.
4*g**2*(g - 2)
Find u such that 18/7 - 20/7*u + 2/7*u**2 = 0.
1, 9
Suppose -11*q + 27 = -688. Suppose 5*b = 90 - q. Let -1/4*x**4 + 0 + 0*x - 1/4*x**b + 1/4*x**2 + 1/4*x**3 = 0. What is x?
-1, 