)*(v + 1)**2*(v + 2)
Let b = -274/21 - -96/7. Solve 2*g**2 + 2/3 - 2*g - b*g**3 = 0.
1
Factor 20577/7 + 3249/7*p + 171/7*p**2 + 3/7*p**3.
3*(p + 19)**3/7
Let g(u) be the first derivative of u**4/8 - 52*u**3/3 + 205*u**2/4 - 51*u + 485. Factor g(r).
(r - 102)*(r - 1)**2/2
Let o(h) be the first derivative of 2*h**3/3 + 23*h**2 + 44*h - 3. Factor o(c).
2*(c + 1)*(c + 22)
Let b = 2006 + -2002. Let q(a) be the first derivative of 7/24*a**3 - 5/32*a**b + 0*a + 3 - 1/8*a**2. Factor q(i).
-i*(i - 1)*(5*i - 2)/8
Let d be 26/(-143) + (-1568)/(-759). Let a = d - 5/23. Factor -5/3 + a*j**2 + 0*j.
5*(j - 1)*(j + 1)/3
Let g(x) be the third derivative of -1/60*x**4 - x**2 + 0*x + 8 + 0*x**3 - 7/150*x**5 - 1/20*x**6 - 3/175*x**7. Factor g(d).
-2*d*(d + 1)*(3*d + 1)**2/5
Let h(q) be the third derivative of -19*q**2 + 1/18*q**6 - 128/9*q**3 + 0 + 0*q - 8/9*q**4 + 1/315*q**7 + 4/15*q**5. Factor h(a).
2*(a - 2)*(a + 4)**3/3
Let y be (-32)/(-24) - (-10)/6. Suppose -4*c**2 - 74*c + 74*c + 4*c**y = 0. What is c?
0, 1
Suppose -14/23*v**2 - 10/23*v + 4/23 = 0. Calculate v.
-1, 2/7
Let g(q) be the second derivative of -q**5/5 - q**4/3 + 8*q**3/3 + 8*q**2 + 91*q. Find x, given that g(x) = 0.
-2, -1, 2
Let g = -17567/9 + 1952. Let 4/9*k + g*k**2 + 4/9 = 0. What is k?
-2
Let l(h) = 2*h + 46. Let z be l(-22). Factor -s**2 + 3*s**3 - s**3 - 19*s**z - 6*s**3.
-4*s**2*(s + 5)
Factor 0*b**3 + 2/5*b**4 - 6/5*b**2 + 4/5*b + 0.
2*b*(b - 1)**2*(b + 2)/5
Determine w, given that 30498*w**2 + 5*w**5 - 19573*w**2 - 265*w**4 + 3252*w**3 + 11480*w - 157*w**3 + 3920 = 0.
-1, 28
Let l = 4 - 0. Let j = 563/4 - 3881/28. Determine x so that j*x**l - 12/7*x**2 + 0 + 24/7*x**3 + 0*x = 0.
-2, 0, 2/5
Let p(y) = y**3 + 6*y + 2. Suppose 4*i - 5 = i + c, -i + 6 = 4*c. Let r(o) = 3*o**2 - 2*o**2 - 2*o - 3*o - o**3 - 1. Let m(a) = i*p(a) + 3*r(a). Factor m(x).
-(x - 1)**3
Let q = 2812 + -2810. Let -6/11*u**3 + 4/11*u**4 - 16/11*u**q + 2/11*u**5 + 0 - 8/11*u = 0. Calculate u.
-2, -1, 0, 2
Solve 710*z**4 + 715*z**4 - 10*z**2 + 5 - 1420*z**4 = 0 for z.
-1, 1
Factor -112/3*x - 160/3 - 2/3*x**3 + 46/3*x**2.
-2*(x - 20)*(x - 4)*(x + 1)/3
Suppose -34*o - 40*o + 44*o + 50 - 18*o**2 - 2*o**3 = 0. What is o?
-5, 1
What is j in 0 + 6*j**4 - 32/3*j**3 - 4*j - 62/3*j**2 = 0?
-1, -2/9, 0, 3
Let o = 298681/13 + -22975. Solve 6/13*z**3 - 2/13 - o*z - 8/13*z**4 + 10/13*z**2 = 0 for z.
-1, -1/4, 1
Let x(a) = a - 17. Let h be x(13). Let k be (-6)/4*h/3. Factor -d - 2*d**2 - 4*d - 4 + k*d - 3*d.
-2*(d + 1)*(d + 2)
Let 2*g**5 - 8*g**5 - g**5 + 24*g**4 + 2*g**5 + 2*g**5 - 78*g**2 + 27*g + 54 - 24*g**3 = 0. What is g?
-1, 1, 3, 6
Let b(l) be the second derivative of -l**8/8960 - l**7/560 - l**6/80 - l**5/20 + 11*l**4/12 - 2*l. Let t(m) be the third derivative of b(m). Solve t(p) = 0.
-2
Let u(z) = -5*z**3 - 357*z**2 - 6477*z - 6. Let c(y) = -5*y**3 - 356*y**2 - 6476*y - 8. Let q(i) = -3*c(i) + 4*u(i). Suppose q(o) = 0. What is o?
-36, 0
Solve -2*z**4 - 8*z**3 - 4*z + 0*z + 3175*z**2 - 3185*z**2 = 0.
-2, -1, 0
Let m(f) = -1. Suppose 4*q = 4*r - 12, 8 = 3*r - 4*q - 0. Let c(j) = -j**3 + 4*j**2 - 5*j - 2. Let x(u) = r*m(u) - c(u). Determine t so that x(t) = 0.
1, 2
Let i(b) be the first derivative of 2*b**5/65 - 21*b**4/26 + 98*b**3/13 - 343*b**2/13 - 28. Factor i(g).
2*g*(g - 7)**3/13
Let t(q) = 4*q - 36. Let n = -54 - -64. Let p be t(n). Find s, given that 1/3*s**5 - s**p + 0*s + 0 + 0*s**2 + 2/3*s**3 = 0.
0, 1, 2
Factor 12*d**2 - 449*d + d**3 + 0*d**3 + 915*d - 455*d.
d*(d + 1)*(d + 11)
Let z = -42 + 36. Let v be -4 + 7/z*-4. Factor v*l + 1/3*l**4 - 1/3 + 0*l**2 - 2/3*l**3.
(l - 1)**3*(l + 1)/3
Let i(x) = 4*x**5 - 44*x**4 - 92*x**3 + 36*x**2 - 2. Let b(t) = -t**5 + t**3 - 1. Let d(p) = 2*b(p) - i(p). Solve d(r) = 0 for r.
-2, 0, 1/3, 9
Let g(y) = -y**3 - 3*y**2 - 3*y - 1. Let p be g(-2). Let a be (p - (0 - 1))*1. Factor 22 - 2*i**a + 7*i + i - 4*i - 24.
-2*(i - 1)**2
Let g = 277/14 + -135/7. Let o = -28 - -115/4. Let 0 - o*m**4 + 0*m**2 + 0*m + 5/4*m**5 - g*m**3 = 0. Calculate m.
-2/5, 0, 1
Factor -5/7*a + 1/7*a**2 - 24/7.
(a - 8)*(a + 3)/7
Let f = -35 + 39. Let c(d) = -d**2 + 4*d + 6. Let i be c(f). Let -3*a**4 - 5*a**2 + i*a**2 + 2*a + a**2 + a**4 - 2*a**3 = 0. What is a?
-1, 0, 1
Let p(q) be the first derivative of -q**6/120 + q**5/80 + q**4/16 - q**3/24 - q**2/4 + 17*q + 6. Let m(w) be the first derivative of p(w). Factor m(l).
-(l - 2)*(l - 1)*(l + 1)**2/4
Let i = 35 - 30. Factor -i*x**4 + 20*x - 5*x**2 - 3*x**4 - 10*x**3 - 20 + 20*x**2 + 3*x**4.
-5*(x - 1)**2*(x + 2)**2
Let b = -260 + 261. Let l(v) be the first derivative of 2/21*v**3 - 2/35*v**5 + b + 0*v**4 + 0*v + 0*v**2. Factor l(h).
-2*h**2*(h - 1)*(h + 1)/7
What is k in -44 + 105 + 149 - 2*k**2 + 64*k = 0?
-3, 35
Let d(s) be the third derivative of -s**5/25 + 13*s**4/60 + s**3 + 8*s**2 + 7. Factor d(y).
-2*(y - 3)*(6*y + 5)/5
Factor 5*g**3 + 2*g**2 - 7*g**2 - 128 - 20*g + 148.
5*(g - 2)*(g - 1)*(g + 2)
Let n(g) = 5*g**2 - 2*g + 2. Let o(f) be the third derivative of -19/60*f**5 + 0 + 4*f**2 + 0*f - 3/2*f**3 + 1/3*f**4. Let q(b) = -9*n(b) - 2*o(b). Factor q(m).
-m*(7*m - 2)
Find o such that 2*o**2 - 8/5 - 2/5*o**4 - 6/5*o**3 + 6/5*o = 0.
-4, -1, 1
What is w in -38/9*w + 2/9*w**5 - 4/9*w**2 + 4*w**3 + 22/9*w**4 - 2 = 0?
-9, -1, 1
Suppose 0 = -28*q + 51*q - 69. Let p(k) be the second derivative of -1/60*k**4 + q*k - 5/2*k**2 + 1/3*k**3 + 0. Factor p(o).
-(o - 5)**2/5
Factor 23*f**2 + 34*f - 27*f**2 + 174*f - 2704.
-4*(f - 26)**2
Let b be (300/675)/((-5)/(-9)). What is p in -b*p**3 - 16/5 + 6*p**2 + 18/5*p = 0?
-1, 1/2, 8
Let p(f) = 22*f**2 + 75*f + 27. Let w = 19 + -6. Let i(a) = 12*a**2 + 38*a + 14. Let u(d) = w*i(d) - 6*p(d). Factor u(g).
4*(g + 1)*(6*g + 5)
Let v = -13 + 31. Let j(c) be the third derivative of -c**5/60 + 11*c**4/24 - 7*c**2. Let m(n) = -n. Let f(h) = v*m(h) + 2*j(h). Solve f(k) = 0.
0, 2
Let j = 2230 + -6680/3. Factor -j*c**2 - 2/3*c**4 - 8/3*c**3 + 0 - 4/3*c.
-2*c*(c + 1)**2*(c + 2)/3
Let k(x) = x + 1. Let b(t) = t**4 + t**3 - 3*t**2 - 7*t - 4. Let z(q) = b(q) + 6*k(q). Factor z(u).
(u - 1)**2*(u + 1)*(u + 2)
Let d be 2 - ((-34)/(-5) - (-1)/5). Let u(n) = -10*n**2 + 5. Let v(c) = 5*c**2 - 2. Let q(o) = d*v(o) - 2*u(o). Factor q(x).
-5*x**2
Let f(q) be the third derivative of 0 - 1/420*q**7 + 0*q**4 + 1/60*q**5 + 0*q**3 - 1/240*q**6 + 4*q - 4*q**2. Suppose f(a) = 0. Calculate a.
-2, 0, 1
Let b be -2 - (-18)/4*(-60)/(-135). What is m in b*m + 1/2*m**3 - 1/8*m**5 + 0 + 1/8*m**4 - 1/2*m**2 = 0?
-2, 0, 1, 2
Suppose -2*g - 4*m - 32 = -6*g, -2*m = 4*g - 14. Solve -5*t**2 + t**3 + 3*t**3 + 8*t**4 - 1421*t - 3*t**2 + 2*t**g + 1415*t = 0 for t.
-3, -1, 0, 1
Let v(b) be the first derivative of -8*b**3/9 + 11*b**2/3 + 2*b + 72. Factor v(w).
-2*(w - 3)*(4*w + 1)/3
Let k(l) = -l**2 - 8*l - 5. Suppose 0*c + 3*c = -21. Let v be k(c). What is r in -10*r**2 + 6*r + v*r**3 + r**2 + r**3 = 0?
0, 1, 2
Suppose -4*h + 53 = -5*m, -3*h - 3 + 9 = 3*m. Let r be h*(-7)/(-49)*2. Factor -8/5*v**3 - 2*v - 4/5 + 22/5*v**r.
-2*(v - 2)*(v - 1)*(4*v + 1)/5
Let r(s) be the second derivative of s**7/945 - 7*s**6/1080 - s**5/90 + 13*s**4/12 + 17*s. Let f(v) be the third derivative of r(v). Factor f(z).
2*(z - 2)*(4*z + 1)/3
Let x = -14563 + 14566. Factor -4/3 + 0*w**4 + 4/3*w**2 - 8/3*w**x + 2*w + 2/3*w**5.
2*(w - 1)**3*(w + 1)*(w + 2)/3
What is n in 1756 - 65*n - 1756 + 5*n**2 = 0?
0, 13
Let u(p) be the second derivative of -1/48*p**4 + 1/4*p**2 + 1/24*p**3 + 3*p + 0. Solve u(w) = 0.
-1, 2
Let n = 5 - 3. Let d be (-1)/((-21)/14 - (0 - 1)). Factor -23 + 23 - d*g**2 + n*g**4.
2*g**2*(g - 1)*(g + 1)
Let p(j) be the second derivative of -j**8/336 + j**7/42 - j**6/18 - 4*j**3/3 + 2*j. Let h(t) be the second derivative of p(t). Solve h(n) = 0.
0, 2
Let i be (-123)/(-328) + (-6)/16. Let v(c) be the first derivative of -1/4*c**4 + 1 + 2/3*c**3 + i*c - 1/2*c**2. Factor v(t).
-t*(t - 1)**2
Determine t so that -4*t**2 + 82*t - 201*t + 4*t**3 + 103*t + 16 = 0.
-2, 1, 2
Let l(r) = 3*r**4 - 8*r**3 - 13*r**2 + 4*r + 10. Let h(v) = 12*v**4 - 32*v**3 - 50*v**2 + 17*v + 41. Let a(w) = 2*h(w) - 9*l(w). What is q in a(q) = 0?
-1, 2/3, 4
Let n = 13/5 - 382/145. Let a = 107/261 - n. Factor 0*y**2 + 2/9 - 4/9*y - 2/9*y**4 + a*y**3.
-2*(y - 1)**3*(y + 1)/9
Let n(s) be the second derivative of 1587*