)**2/17
Factor -127*b**3 + 24*b**2 - 121*b**3 + 378*b**3 + 56*b**2 - 126*b**3 + 76*b.
4*b*(b + 1)*(b + 19)
Let z = 11141 + -33419/3. Factor -z*l**4 + 8/3*l + 0*l**2 - 8/3*l**3 + 4/3.
-4*(l - 1)*(l + 1)**3/3
Factor -324/5*y**5 + 0 + 0*y + 396/5*y**4 - 76/5*y**3 + 4/5*y**2.
-4*y**2*(y - 1)*(9*y - 1)**2/5
Suppose 41 = 3*q + 108*c - 104*c, q - 2*c = -13. Find k, given that -1/2*k + q*k**2 + 3/2*k**5 - 1/2 - k**3 - 5/2*k**4 = 0.
-1, -1/3, 1
Let c(f) = -180*f**3 - 80*f**2 + 120*f + 35. Let p(i) = -15*i**3 - 7*i**2 + 10*i + 3. Let n(z) = 3*c(z) - 35*p(z). Determine r, given that n(r) = 0.
-2/3, 0, 1
Suppose 23 + 129 = 4*y. Let a = y - 21. Let 17 - a - 2*o**2 + 2*o**4 = 0. Calculate o.
-1, 0, 1
Let b(u) be the first derivative of u**4/8 + 13*u**3/2 + 507*u**2/4 + 2197*u/2 - 64. Factor b(q).
(q + 13)**3/2
Let r(x) = x**3. Let a(o) = 5*o**3 + 2*o**2 + 34*o + 42*o - 76*o. Suppose 5*h + 2*t = -t + 45, -h - t + 11 = 0. Let u(d) = h*r(d) - a(d). Solve u(j) = 0 for j.
0, 2
Suppose 0 - 4/5*i**2 + 4*i = 0. Calculate i.
0, 5
Let f(j) be the first derivative of -1/6*j**4 - 1/60*j**6 + 0*j**3 - 1/10*j**5 + 0*j + 1 + 3/2*j**2. Let r(k) be the second derivative of f(k). Solve r(d) = 0.
-2, -1, 0
Find p such that 12/7*p**4 + 0 - 12/7*p**2 + 3/7*p**3 - 3/7*p = 0.
-1, -1/4, 0, 1
Solve -93*q - 2*q**3 - 600*q**2 - 84*q**3 - 242*q - 36 + 38*q**3 + 44*q = 0.
-12, -1/4
Let l(u) = 2*u + u**2 - 2*u + 1. Let k(z) = 6*z**2 + z + 6. Let v(i) = -i**2 + i + 24. Let x be v(-5). Let s(h) = x*k(h) + 33*l(h). Solve s(c) = 0 for c.
-1
Determine d, given that 7/2*d**3 + 9/2*d + 15/2*d**2 + 0 + 1/2*d**4 = 0.
-3, -1, 0
Determine q, given that 0*q**2 + 0 + 0*q - 3/4*q**4 - 3/2*q**3 = 0.
-2, 0
Let g(t) be the third derivative of t**6/120 - t**5/60 - t**4/12 + 247*t**2. Factor g(u).
u*(u - 2)*(u + 1)
Let l(s) = -s**4 + 3*s**3 + 5*s**2 + 3*s + 2. Let k be 1/(386/192 - 2). Let u(p) = k*p - p**2 - p**3 - 96*p. Let w(o) = -l(o) - 6*u(o). What is n in w(n) = 0?
-2, -1, 1
Let i(j) be the second derivative of j**7/14 - j**6/2 + 9*j**5/10 + j**4/2 - 7*j**3/2 + 9*j**2/2 + 431*j. Factor i(v).
3*(v - 3)*(v - 1)**3*(v + 1)
Let m = 570 + -5699/10. Let j(b) be the second derivative of 0 - 1/42*b**7 + 0*b**4 + 9*b + m*b**5 + 0*b**2 + 0*b**6 - 1/6*b**3. Let j(v) = 0. Calculate v.
-1, 0, 1
Let i(g) be the third derivative of -5/6*g**4 + 0*g + 0*g**3 - g**5 - 5/24*g**6 + 22*g**2 + 0. What is u in i(u) = 0?
-2, -2/5, 0
Let f(r) be the third derivative of -r**8/84 - 2*r**7/15 - 7*r**6/15 - 2*r**5/15 + 5*r**4/2 + 6*r**3 + 3*r**2 - 25*r. Determine z so that f(z) = 0.
-3, -1, 1
Suppose -6 = -q - 7. Let p(j) = -j**3 - j. Let u(r) = -3*r**3 - 35*r**2 - 53*r - 25. Let d(b) = q*u(b) - 2*p(b). Let d(w) = 0. Calculate w.
-5, -1
Let -30/11*a**2 - 30/11*a**3 + 30/11*a + 36/11 - 6/11*a**4 = 0. What is a?
-3, -2, -1, 1
Let y = 111 - 101. Determine x so that 25*x - 4*x**2 + 5*x**2 + 15*x**4 - 3*x**2 - 3*x**2 - y - 25*x**3 = 0.
-1, 2/3, 1
Suppose -4*s - s = 20, -4*a - s = -108. Let x(c) = 4*c - 112. Let z be x(a). Factor z + 0*y + 0*y**2 - 1/3*y**3 + 1/3*y**5 + 0*y**4.
y**3*(y - 1)*(y + 1)/3
Let i(z) be the first derivative of -6*z**5/55 + 15*z**4/2 - 2052*z**3/11 + 20412*z**2/11 - 34992*z/11 + 108. Factor i(r).
-6*(r - 18)**3*(r - 1)/11
Solve -3/5*b**5 - 8/5*b**4 + 0 - 2/5*b**2 + 0*b - 7/5*b**3 = 0 for b.
-1, -2/3, 0
Factor 48*y - 48 - 15*y**2 + 3/2*y**3.
3*(y - 4)**2*(y - 2)/2
Let c(w) = w**2 - 4*w - 3. Let y be c(-1). Factor -5*i**2 + i**y + 3*i**2 - 16 - 3*i**2 - 20*i.
-4*(i + 1)*(i + 4)
Let t be ((5 + 1)/(-12))/((-1)/6). Let j be (-4 + 3)*t - 25/(-7). Suppose j*l - 2/7*l**4 - 10/7*l**2 + 8/7*l**3 + 0 = 0. Calculate l.
0, 1, 2
Factor 92/11*c**2 - 120/11*c + 2/11*c**4 + 50/11 - 24/11*c**3.
2*(c - 5)**2*(c - 1)**2/11
Let b(s) be the second derivative of 40/3*s**2 - 32/9*s**3 + 21*s + 1/9*s**4 - 2 + 1/15*s**5. Find u, given that b(u) = 0.
-5, 2
Suppose 24 - 10 = -k. Let g(h) = -9*h**3 + 10*h**2 + 2*h. Let m(x) = 46*x**3 - 50*x**2 - 10*x. Let y(t) = k*g(t) - 3*m(t). Suppose y(b) = 0. What is b?
-1/6, 0, 1
Let i(q) be the first derivative of 1/16*q**4 - 5 + 0*q + 1/8*q**2 + 1/6*q**3. Solve i(a) = 0.
-1, 0
Suppose -g**2 + 2*g - 12*g**3 + 11*g**3 + 0*g**2 = 0. What is g?
-2, 0, 1
Let k(n) be the first derivative of n**7/420 + n**6/60 - n**5/60 - n**4/4 + 3*n**3 - 7. Let z(o) be the third derivative of k(o). Factor z(r).
2*(r - 1)*(r + 1)*(r + 3)
Let z(a) be the third derivative of -a**5/450 + a**4/18 + 61*a**2. Suppose z(c) = 0. Calculate c.
0, 10
Let x(o) be the first derivative of -1/13*o**4 + 0*o + 21 + 0*o**2 - 1/39*o**6 + 0*o**3 - 6/65*o**5. Factor x(v).
-2*v**3*(v + 1)*(v + 2)/13
Let q(r) = 14*r**4 + 29*r**3 + 44*r**2 + 24*r. Let z(t) = 12*t**4 + 28*t**3 + 44*t**2 + 24*t. Let g(k) = 4*q(k) - 5*z(k). Suppose g(o) = 0. Calculate o.
-3, -2, -1, 0
Suppose -1/8*o**5 + 3/8*o**3 + 3/4*o + 3/8*o**4 + 0 - 11/8*o**2 = 0. Calculate o.
-2, 0, 1, 3
Let q(d) = 39*d**2 + 41*d + 10. Let o(t) = t**2 - t. Let x(h) = -h**2 - 3*h - 3. Let g be x(-2). Let p(k) = g*q(k) + 4*o(k). Factor p(i).
-5*(i + 1)*(7*i + 2)
Solve 32/9*a + 2/9*a**5 + 16/3*a**2 + 2/9*a**3 + 0 - 4/3*a**4 = 0 for a.
-1, 0, 4
Suppose 271*p = 400*p - 258. Solve 0*t + 8/3*t**p - 2/9*t**3 + 0 = 0.
0, 12
Suppose -2*j = 2*j - 2*v + 2, 0 = -2*j + 5*v - 21. Let x = 3214/11 - 28904/99. Suppose x*n**3 - 8/9*n**j - 4/9 + 10/9*n = 0. What is n?
1, 2
Factor 60/7*f - 4/7*f**2 - 200/7.
-4*(f - 10)*(f - 5)/7
Let f(y) = -5*y**3 - 72*y**2 + 2022*y - 17570. Let t(u) = u**3 - u**2 + u - 1. Let l(s) = -5*f(s) - 30*t(s). Factor l(c).
-5*(c - 26)**3
Let -4*m**5 - 8*m + 31*m**3 + m**5 - 41*m**2 + 28*m - 10*m**3 + 2*m**5 + m**4 = 0. Calculate m.
-5, 0, 1, 4
Let x(s) = 5*s**2 + 5*s - 4. Let y be x(3). Factor 0*g**2 + 4 - y*g - 4*g**2 + 52*g + 4*g**3.
4*(g - 1)**2*(g + 1)
Find c, given that -3*c - c**2 - 15*c**3 - 23*c**2 - 6*c + 0*c**2 = 0.
-1, -3/5, 0
Let v(i) be the third derivative of -i**5/20 + 21*i**4/8 + 23*i**3 - 30*i**2 + 2. Factor v(r).
-3*(r - 23)*(r + 2)
Let w = 941 - 70573/75. Let b(n) be the third derivative of 1/15*n**4 + 0 - n**2 + 0*n + w*n**5 + 1/300*n**6 + 0*n**3. Find m such that b(m) = 0.
-2, 0
Let g = -15084 + 15087. Solve 0*s + 2/11*s**g + 4/11*s**2 + 0 = 0.
-2, 0
Let v(l) be the third derivative of -l**5/180 + l**4/72 + 5*l**2 - 8. Let v(r) = 0. What is r?
0, 1
Suppose 14*o = -64 + 92. Let 8/7*t**4 - 4*t - 8/7 + 4/7*t**5 - 8/7*t**3 - 32/7*t**o = 0. What is t?
-1, 2
What is m in 12/7*m + 0 - 10/7*m**2 - 2/7*m**3 = 0?
-6, 0, 1
Let p(c) be the third derivative of 1/9*c**4 + 24*c**2 + 0 + 4/9*c**3 + 0*c + 1/90*c**5. Factor p(a).
2*(a + 2)**2/3
Factor 1560*t**2 + 130*t**4 - 965*t**3 - 5*t**5 + 30*t - 317*t - 433*t.
-5*t*(t - 12)**2*(t - 1)**2
Let l be 12/70*(8 - -6). Let y be 3*(78/(-26))/(-4 + 1). Factor 6/5*m + 3/5*m**4 + l*m**2 + 2*m**y + 1/5.
(m + 1)**3*(3*m + 1)/5
Let o(n) be the third derivative of -n**6/120 - 2*n**5/15 + 19*n**4/24 - 5*n**3/3 + 365*n**2 - 2*n. Factor o(a).
-(a - 1)**2*(a + 10)
Let r(t) be the third derivative of -5/39*t**3 + 16*t**2 + 0 - 1/39*t**4 + 1/390*t**5 + 0*t. Factor r(f).
2*(f - 5)*(f + 1)/13
Let l(w) be the second derivative of w**5/20 - w**4/6 + w**3/6 + 79*w. Solve l(p) = 0 for p.
0, 1
Let s(p) = -3*p**3 + 33*p**2 - 92*p + 84. Let f(c) = 15*c**3 - 165*c**2 + 459*c - 420. Let v(y) = 4*f(y) + 21*s(y). Find b such that v(b) = 0.
2, 7
Let f be (((-2914)/517)/(-31))/(4/33). Factor -3/4*h**3 + 0*h - f*h**2 + 0.
-3*h**2*(h + 2)/4
Let p(z) = z**2 + 189*z + 1448. Let x be p(-8). Let 2*c**2 + 2/9*c**4 + x*c + 4/3*c**3 + 0 = 0. What is c?
-3, 0
Factor -3/4*w**2 - 21/2 + 27/4*w.
-3*(w - 7)*(w - 2)/4
Let m(v) be the second derivative of -v**5/8 + 25*v**4/24 - 5*v**3/6 - 10*v**2 + 281*v. Determine r so that m(r) = 0.
-1, 2, 4
Let s(n) be the first derivative of -n**3/9 - 7*n**2/3 + 5*n + 93. Determine u so that s(u) = 0.
-15, 1
Let x(u) = 2*u**5 + 12*u**4 + 22*u**3 - 5*u**2 - 3*u - 7. Let m(f) = f**5 + 11*f**4 + 21*f**3 - 5*f**2 - 4*f - 6. Let w(d) = -7*m(d) + 6*x(d). Factor w(n).
5*n*(n - 2)*(n - 1)*(n + 1)**2
Let d(y) be the second derivative of y**7/14 - y**6/2 + 9*y**5/10 + y**4 - 4*y**3 + 3*y + 14. Factor d(o).
3*o*(o - 2)**3*(o + 1)
Suppose 19*o - 15*o = 12. Let f(c) be the first derivative of -9/2*c**2 + c**o + 6*c + 12. Factor f(g).
3*(g - 2)*(g - 