 -y**3 - 28*y**2 - 97*y - 88. Let x(u) = -2*q(u) - 7*v(u). Factor x(s).
3*(s + 3)**2*(s + 4)
Let q = 0 + 9. Suppose -2*i + 1 = 5*n - 25, -i - n + 10 = 0. Let 8*y**3 - 9 + q + 4*y**4 - i*y - 4 = 0. Calculate y.
-1, 1
Let x(z) = 3*z**3 - 6*z + 2. Let w(s) = s**3. Let i be (-28)/((-4)/1) - 4. Let u be (-3)/(i/(-2))*-1. Let o(v) = u*x(v) - 10*w(v). Factor o(c).
-4*(c + 1)*(2*c - 1)**2
Let p(m) = 1805*m**3 + 378*m**2 + 20*m. Let n(k) = 3610*k**3 + 755*k**2 + 40*k. Let z(t) = -2*n(t) + 5*p(t). Factor z(q).
5*q*(19*q + 2)**2
Suppose -3*t**3 + 208*t**2 - 14406*t + 235298 + 191*t**2 - 105*t**2 + t**3 = 0. What is t?
49
Suppose 7*y = 5*y + 6. Let x = -31/3 - -13. Factor -2/3 - 25/6*p**y + x*p - 5/6*p**2.
-(p + 1)*(5*p - 2)**2/6
Let h(x) = x**2 - 4*x + 8. Let i be h(3). Suppose 19 = 4*a - 3*g, i*a = a + 4*g + 20. Let 0 - 2/5*m - m**a - 7/5*m**2 - 9/5*m**3 - 1/5*m**5 = 0. What is m?
-2, -1, 0
Let r(z) be the first derivative of -z**9/1512 - z**8/840 + z**7/420 + z**6/180 + 11*z**3/3 - 5. Let v(u) be the third derivative of r(u). Solve v(l) = 0 for l.
-1, 0, 1
Let q be ((-7)/49)/((-3)/(-57)) + (9 - 2). What is j in q*j - 225/7 - 1/7*j**2 = 0?
15
Let g be (-2)/(-48) - (3 - 3). Let o(u) be the second derivative of -g*u**4 + 1/9*u**3 + u - 1/12*u**2 + 0. Find x such that o(x) = 0.
1/3, 1
Let g(n) be the third derivative of n**6/200 - 7*n**5/100 - n**4/5 - 19*n**2. Factor g(u).
3*u*(u - 8)*(u + 1)/5
Let s(k) = 4*k**4 - 3*k**3 - 51*k**2 - 55*k + 100. Let p(r) = 3*r**4 - 5*r**3 - 51*r**2 - 51*r + 100. Let z(l) = -5*p(l) + 4*s(l). Factor z(m).
(m - 1)*(m + 4)*(m + 5)**2
Let z = -8002 + 24007/3. Factor 1/3*x**2 - 1/3*x**3 + 1/3*x + 0 - z*x**4.
-x*(x - 1)*(x + 1)**2/3
Let c = 14443/3 + -4813. Factor 0 - c*s**2 + s**3 + 1/3*s**5 + 4/3*s**4 - 4/3*s.
s*(s - 1)*(s + 1)*(s + 2)**2/3
Factor 10*z**3 - 42*z**5 + 14*z**5 - 8*z**4 + 26*z**5.
-2*z**3*(z - 1)*(z + 5)
Suppose -17*z = -22*z + 5, 18 = 4*o + 2*z. Let w(j) be the third derivative of -o*j**2 + 0*j + 1/36*j**4 + 1/90*j**5 + 0 + 0*j**3. Factor w(l).
2*l*(l + 1)/3
Let z(c) be the first derivative of c**6/6 + 8*c**5/5 + 25*c**4/4 + 38*c**3/3 + 14*c**2 + 8*c + 37. Factor z(x).
(x + 1)**2*(x + 2)**3
Factor -1/2*h + 1/2*h**2 + 1/2*h**3 - 1/2.
(h - 1)*(h + 1)**2/2
Let u(z) = 7*z**2 + 635*z - 180. Let p be u(-91). Find j, given that 0*j**p + 0*j + 1/3*j**5 + 1/3*j**3 - 2/3*j**4 + 0 = 0.
0, 1
Suppose 4*k - 3*j = 10, -4 = -3*k + 2*j + 3. Let y(w) = 4*w**2 - 3*w + 3. Let g be y(k). Find u such that -g*u + 6*u + 5*u**2 + 3*u = 0.
-1, 0
Let u(d) be the third derivative of d**8/12600 + d**7/2100 + d**6/1350 + 4*d**3/3 + 14*d**2. Let j(f) be the first derivative of u(f). Factor j(t).
2*t**2*(t + 1)*(t + 2)/15
Find b, given that 5*b**4 + 45*b**3 - 249*b**2 - 62*b - 78 + 13*b**4 + 317*b + 8*b**4 + b**4 = 0.
-13/3, 2/3, 1
Suppose -22/7*u**3 + 108/7 - 18/7*u - 66/7*u**2 - 2/7*u**4 = 0. What is u?
-6, -3, 1
Suppose 12 - 8 = k. Factor -10*i**2 - 4*i - i**k + 6*i**3 + 9*i**3 - 23*i**3 - i**4.
-2*i*(i + 1)**2*(i + 2)
Let s(z) be the third derivative of -z**5/10 + 5*z**4/12 - 2*z**3/3 + 90*z**2. Find o, given that s(o) = 0.
2/3, 1
Let a = -30 + 37. Suppose a*i - 45 = -24. Let 2/7*g**5 + 0*g**i - 4/7*g**4 + 0 + 4/7*g**2 - 2/7*g = 0. Calculate g.
-1, 0, 1
Factor -12/11 + 2/11*n**2 + 10/11*n.
2*(n - 1)*(n + 6)/11
Suppose 5*b = 7 + 8. Let x = 1695/8 - 8467/40. Let 1/5*i**4 + 2/5*i**b - 1/5*i**5 - 2/5*i**2 - 1/5*i + x = 0. What is i?
-1, 1
Let p = -40/29 - -287/145. Suppose 0 + 1/5*r**2 - 1/5*r**5 - 2/5*r + p*r**3 - 1/5*r**4 = 0. What is r?
-2, -1, 0, 1
Let s(i) = i**2 - i + 2. Let f(w) = -4. Let b(l) = l**2 + 1. Let r(y) = -8*b(y) + f(y). Let o(q) = r(q) + 6*s(q). Determine u, given that o(u) = 0.
-3, 0
Let h(y) be the second derivative of -81/8*y**2 + 3/4*y**3 + 0 - 1/48*y**4 - 25*y. Factor h(m).
-(m - 9)**2/4
Let v(q) be the second derivative of q**4/4 - 11*q**3 + 351*q**2/2 + 263*q. Find h, given that v(h) = 0.
9, 13
Suppose -2 - 22/13*j**2 - 50/13*j + 2/13*j**3 = 0. What is j?
-1, 13
Factor 14/15*t + 2/15*t**3 + 2/5 + 2/3*t**2.
2*(t + 1)**2*(t + 3)/15
Let u(p) be the third derivative of p**5/60 + 133*p**4/6 + 35378*p**3/3 - 415*p**2. Find w, given that u(w) = 0.
-266
Let 13*z + 2*z - 3*z**2 + z**2 + 3*z**3 - 16*z**2 = 0. Calculate z.
0, 1, 5
Let v(q) be the third derivative of -q**6/40 + 7*q**4/8 + 3*q**3 - 50*q**2. Factor v(j).
-3*(j - 3)*(j + 1)*(j + 2)
Suppose 13*o - 376 + 337 = 0. Factor -2*i**2 - 5/2*i - 1 - 1/2*i**o.
-(i + 1)**2*(i + 2)/2
Let s be 1/(20/1632) - (-1)/1. Let z = s - 82. Find r, given that -z*r**4 + 0*r**3 - 6/5*r + 9/5*r**2 + 0 = 0.
-2, 0, 1
Let q(d) = -d + 11. Let k be q(3). Let g be k/(-12)*(-6)/10. Factor g + 2/5*c**4 - 4/5*c**2 - 2/5*c**5 + 4/5*c**3 - 2/5*c.
-2*(c - 1)**3*(c + 1)**2/5
Let m be (0*6/(-48))/2. Let t(i) be the second derivative of 0*i**4 + 0*i**5 + 0*i**2 - 3*i + 0 + 1/10*i**6 + m*i**3 - 1/14*i**7. Factor t(j).
-3*j**4*(j - 1)
Let a be (-6)/(-30) + (-39)/(-5). Let s be a/(-28) + 1404/14. Factor -2*x**2 + s - 100.
-2*x**2
Let p(u) be the first derivative of 2*u**5/45 - 17*u**4/18 + 160*u**3/27 - 64*u**2/9 - 449. Let p(w) = 0. Calculate w.
0, 1, 8
Let r(y) be the first derivative of 5*y**7/42 + y**6/2 + 3*y**5/4 + 5*y**4/12 - 4*y**2 + 4. Let g(w) be the second derivative of r(w). Solve g(x) = 0.
-1, -2/5, 0
Suppose -18*r + 1 - 1 = 0. Suppose -3*m = m - 3*c - 9, r = -4*m - 4*c + 16. Let o**m - 1/3*o**5 + 1/3*o**4 - 2/3*o - 1/3*o**2 + 0 = 0. Calculate o.
-1, 0, 1, 2
Let u(w) be the third derivative of 0*w + 5/6*w**3 - 6*w**2 + 25/24*w**4 + 5/42*w**7 + 0 + 5/12*w**6 + 5/6*w**5 + 5/336*w**8. Factor u(h).
5*(h + 1)**5
Suppose -485*o + 954*o = 482*o. Factor 2/3*v - 1/3*v**2 - 1/3*v**3 + o.
-v*(v - 1)*(v + 2)/3
Let x(m) = m**2 - m - 1. Let g(c) = c**3 + 19*c**2 - 6*c - 25. Let d(z) = 2*g(z) - 22*x(z). Factor d(b).
2*(b - 1)*(b + 2)*(b + 7)
Let m(a) = a**2 - a + 1. Suppose -4*n = 75 + 13. Let t(w) = -w**3 + 13*w**2 - 12*w + 11. Let v(k) = n*m(k) + 2*t(k). What is d in v(d) = 0?
0, 1
Let i be 8439/15 + (-8)/5 + 2. What is f in 9 + 3 - f**2 - i*f + 567*f + 0 = 0?
-2, 6
Let c be (-4)/(-2)*(-21)/63*6/(-8). Factor 1/2*r**2 + 0 - c*r.
r*(r - 1)/2
Factor -11/4*i - 1/2*i**2 - 5/4.
-(i + 5)*(2*i + 1)/4
Let y = -1011/14 + 145/2. Factor y*q**3 + 4/7*q**2 + 0*q + 0.
2*q**2*(q + 2)/7
Let b(t) = -t**3 + t**2 - t. Let k = 68 - 72. Let v(p) = 19*p**3 - 22*p**2 + 2. Let f(j) = k*b(j) + 4*v(j). Determine y so that f(y) = 0.
-1/4, 2/5, 1
Let -2/7*z**2 + 32/7*z + 32/7 - 2/7*z**3 = 0. What is z?
-4, -1, 4
Let r be -5 + 3 - 8/(-2). Suppose -3*t - r = -4*t. What is w in 4*w + 3 - 3*w - 1 + t*w + w**2 = 0?
-2, -1
Let i(z) = 11*z**3 + 23*z**2 + 13*z + 13. Let a(g) = -5*g**3 - 11*g**2 - 6*g - 6. Let f(c) = -13*a(c) - 6*i(c). What is k in f(k) = 0?
0, 5
Let j = -9 - -11. Suppose -r + 11 = 4*y - 7, -12 = -2*r - j*y. Factor 2*b - b**2 - 1 + 0*b**r + 3*b**2 - 3*b**2.
-(b - 1)**2
Let n(o) be the second derivative of -o**4/36 + 76*o**3/9 - 2888*o**2/3 + 4*o - 6. Let n(w) = 0. Calculate w.
76
Let p = 16 + -10. Suppose 60*c**5 + 33*c**4 + 147*c**3 - 204*c**4 - 31*c - 2*c - 15*c**2 + 6*c + p = 0. Calculate c.
-2/5, 1/4, 1
Let w(d) = d**2 + d + 7. Let l = -3 + 10. Let s(p) = p**2 + p + 6. Let h(m) = l*s(m) - 6*w(m). Solve h(r) = 0.
-1, 0
Let z be -1*(-8 + 7)*2*1/1. Factor 2/7*k**z + 8/7*k + 6/7.
2*(k + 1)*(k + 3)/7
Solve 2/3*x**2 + 68/3 - 38/3*x = 0.
2, 17
Let o be 1 - ((-564)/(-756) - (-30)/(-35)). Solve -o*v - 4/3 + 2/9*v**2 = 0 for v.
-1, 6
Let j(p) be the second derivative of -3*p**5/20 - p**4 - 2*p**3 + 104*p. Factor j(x).
-3*x*(x + 2)**2
Let c be 15/((-3240)/(-228)) - 8/(-18). What is g in -3/2*g**4 - 3/4*g**5 + c*g**2 + 3/4*g**3 + 0*g + 0 = 0?
-2, -1, 0, 1
Let a(j) = -9*j**3 - 4300*j**2 - 228905*j + 233280. Let y(m) = -2*m**3 - 860*m**2 - 45782*m + 46656. Let l(w) = -2*a(w) + 11*y(w). Factor l(h).
-4*(h - 1)*(h + 108)**2
Let w(x) = -425*x**3 + 521*x**2 - 79*x - 8. Let j(r) = 213*r**3 - 261*r**2 + 40*r + 4. Let o be 6*5/(-10)*3. Let d(y) = o*j(y) - 4*w(y). Factor d(l).
-(l - 1)*(7*l - 2)*(31*l + 2)
Let r(h) be the first derivative of -1/9*h**3 + 0*h - 7 + 1/12*h**4 - 1/3*h**2. Find l, given that r(l) = 0.
-1, 0, 2
Let k(r) be the first derivative of -r**3/15 - 9*r**2/5 - 32*r/5 + 128. Factor k(o).
-(o + 2)*(o + 16)/5
Factor 0*o + 6*o**2