q(j) = 0.
-4, -2
Let w be -8 - ((-60)/6 + 3) - -1. Factor 4/7*b**3 + 0 + 0*b**2 + 10/7*b**4 + 6/7*b**5 + w*b.
2*b**3*(b + 1)*(3*b + 2)/7
Let 9/4*f**2 - 11/4 + 1/2*f = 0. What is f?
-11/9, 1
Let k = 1729/165 - 149/15. Factor 2/11*s**2 - 4/11*s - k.
2*(s - 3)*(s + 1)/11
Let a(h) be the second derivative of 7/4*h**4 + 5/2*h**3 + 2*h - 3*h**2 + 0. Factor a(x).
3*(x + 1)*(7*x - 2)
Let v(m) = -31*m**4 - 380*m**3 - 1281*m**2 + 1360*m + 320. Let i(l) = 30*l**4 + 380*l**3 + 1280*l**2 - 1360*l - 320. Let g(x) = 6*i(x) + 5*v(x). Factor g(y).
5*(y - 1)*(y + 8)**2*(5*y + 1)
Let f be ((-66)/110)/(21/(-49)). Let -1/5*d**3 - 12/5 - 16/5*d - f*d**2 = 0. What is d?
-3, -2
Let d(l) = 2*l + 1. Let b be d(2). Suppose -16 = 2*w - 4*u, -5*w + 0*u - b*u = -35. Let 2*x**w - 4*x - 2*x + 3*x + x**2 = 0. Calculate x.
0, 1
Suppose -3*m - 2*m = 0. Suppose m*v = -2*r + 3*v - 3, -3*r + 21 = 4*v. Let -3/2*p + 1/2*p**5 + p**2 - 3/2*p**4 + 1/2 + p**r = 0. What is p?
-1, 1
Let c = -62 - -66. Let w be (c - (-60)/(-18))/(3/6). Determine z so that 0*z + w*z**2 + 0 + 10/3*z**3 + 2*z**4 = 0.
-1, -2/3, 0
Let c be 12/120*2/(-8)*-2. Let b(g) be the third derivative of 0 + 2/105*g**7 - 8*g**2 + 0*g**3 + 3/80*g**5 - 1/96*g**4 + 0*g - c*g**6. Factor b(f).
f*(f - 1)*(4*f - 1)**2/4
Factor 1/5*u**3 + 1/5*u**2 + 0*u + 0.
u**2*(u + 1)/5
Factor o + 212*o**3 + 9*o**2 - 9 - 2*o - 211*o**3.
(o - 1)*(o + 1)*(o + 9)
Let s(r) be the third derivative of -r**6/60 + 11*r**5/6 + 14*r**4/3 + 527*r**2. Factor s(g).
-2*g*(g - 56)*(g + 1)
Let w be 3/(7*(-3)/(-9)). Let -3/7*i**3 - 3/7*i**4 + 6/7 + w*i**2 + 15/7*i = 0. What is i?
-1, 2
Let u(s) be the first derivative of -5 - 1/8*s**3 + 1/48*s**4 + 2*s + 1/4*s**2. Let z(y) be the first derivative of u(y). Find d such that z(d) = 0.
1, 2
Factor 2/9*z**2 + 4/3 + 10/9*z.
2*(z + 2)*(z + 3)/9
Let u be (-900)/(-1500) + (-14)/(-10). What is q in u*q + 2 - 1/2*q**4 - 2*q**3 - 3/2*q**2 = 0?
-2, -1, 1
Let d(k) = -9*k**2 + 57*k + 46. Let y be d(7). Determine r, given that 7/4*r**2 - 1/4*r**y + 1/2*r**5 + 0 - 1/2*r - 3/2*r**3 = 0.
-2, 0, 1/2, 1
Let p = -107263/5 + 21314. Let b = p - -139. Find g such that -b*g**2 + 2/5*g + 4/5 = 0.
-1, 2
Let a(w) = -w**2 - 22*w + 108. Let t be a(-26). What is m in -1/4*m - 1/2*m**5 + 7/4*m**t - 9/4*m**3 + 5/4*m**2 + 0 = 0?
0, 1/2, 1
Let m(b) be the first derivative of 3*b**4/4 - 6*b**3 + 27*b**2/2 - 12*b - 17. What is k in m(k) = 0?
1, 4
Let a(g) be the first derivative of -g**4/4 - 28*g**3/3 - 25*g**2/2 + 54*g + 622. Factor a(i).
-(i - 1)*(i + 2)*(i + 27)
Let w(d) be the third derivative of 0*d - 30*d**2 + 13/420*d**5 + 1/21*d**4 + 0 - 2/7*d**3 + 1/280*d**6. Determine k, given that w(k) = 0.
-3, -2, 2/3
Suppose 3*y = 6 - 15. Let o(z) = z**3 + 4*z**2 + 3*z + 2. Let x be o(y). Factor r**4 + 3*r**x + 0*r + 4*r**3 - 3*r - 4 - r.
(r - 1)*(r + 1)*(r + 2)**2
Solve 38 - 21*t**2 + 43 + 18*t**2 - 6 + 72*t = 0.
-1, 25
Solve 0 - 7/3*u**2 - 1/3*u**3 - 2*u = 0.
-6, -1, 0
Let x(d) = 4*d - 44. Let l be x(11). Let o(s) be the first derivative of l*s**2 + 5 + 1/3*s**3 - s. Let o(g) = 0. Calculate g.
-1, 1
Let o(y) be the third derivative of y**5/180 - y**4/12 + 2*y**2 + 21*y. Find m, given that o(m) = 0.
0, 6
Let o(w) = 5*w**5 + 34*w**4 + 58*w**3 + 50*w**2 + 23*w. Let k(p) = -p**5 + p**4 - p**2 - 2. Let f(x) = -2*k(x) + o(x). Factor f(i).
(i + 1)**4*(7*i + 4)
Let u(d) = -d**3 + 2*d**2 - d. Let q(l) = -l**3 + 9*l**2 + 6*l + 4. Let s(j) = q(j) - 2*u(j). Suppose s(x) = 0. What is x?
-2, -1
Let z(v) = 3*v**2 - 12*v + 7. Let x be z(5). Factor 12*m - 38*m + x*m - 5*m**2 + 21*m**2.
4*m*(4*m - 1)
Let z(b) be the third derivative of 0*b + 1/168*b**7 + 0*b**4 + 0*b**5 + 0*b**3 + 1/24*b**6 + 0 + 21*b**2. Suppose z(g) = 0. Calculate g.
-4, 0
Let g(z) be the third derivative of z**7/42 + z**6/8 + z**5/4 + 5*z**4/24 - 9*z**2 - 8*z. Factor g(c).
5*c*(c + 1)**3
Let g(b) = -3*b**5 - 12*b**4 - 5*b**3 + 16*b**2 + 7*b - 4. Let d(o) = -o**4 + o**2 - o. Let p(w) = -d(w) + g(w). Solve p(l) = 0 for l.
-2, -1, 1/3, 1
Let c(v) be the second derivative of -v**6/6 - 5*v**5/2 - 10*v**4 + 80*v**3/3 + 320*v**2 + 2*v + 64. Factor c(q).
-5*(q - 2)*(q + 4)**3
Determine p, given that -106*p**2 - 1 - 170*p**2 - 47*p**2 + 7 + 17*p**2 - 141*p = 0.
-1/2, 2/51
Let q(x) be the second derivative of x**6/10 + 3*x**5/40 - 5*x**4/8 + x**3/2 - 229*x - 2. What is d in q(d) = 0?
-2, 0, 1/2, 1
Let s(p) be the second derivative of 0 - 1/9*p**3 - 1/18*p**4 + 2/3*p**2 - 17*p. Factor s(o).
-2*(o - 1)*(o + 2)/3
Let c(i) be the second derivative of i**6/360 + i**5/15 + 2*i**4/3 - 5*i**3/2 + 12*i. Let g(a) be the second derivative of c(a). Find z such that g(z) = 0.
-4
Let w be 9*(169/39 - 4). Find g such that 0 + 3/7*g**2 + 0*g - 3/7*g**w = 0.
0, 1
Let d(f) be the third derivative of 0*f - 26*f**2 - 1/840*f**6 + 0*f**5 + 1/21*f**3 + 1/56*f**4 + 0. Factor d(b).
-(b - 2)*(b + 1)**2/7
Determine r so that 45/4 + 6*r**3 + 51*r**2 + 93/2*r = 0.
-15/2, -1/2
Let r(c) be the second derivative of -c**7/84 + 7*c**6/30 - 13*c**5/40 + 4*c. Let r(f) = 0. What is f?
0, 1, 13
Let l be (-3)/2 - (-143)/22. Let z(r) = -3*r**4 + 3*r**3 - 5*r**2 - 5. Let y(w) = -w**2 - 1. Let c(i) = l*y(i) - z(i). Factor c(o).
3*o**3*(o - 1)
Let k(d) be the third derivative of 8/57*d**3 - 37*d**2 - 3/76*d**4 + 1/570*d**5 + 0 + 0*d. Solve k(i) = 0 for i.
1, 8
Let o be 9/4 + (154 - 156). Factor 9/8*n + 1/2*n**3 + 3/2*n**2 + o.
(n + 2)*(2*n + 1)**2/8
Determine o so that -40 + 104/5*o - 2/5*o**2 = 0.
2, 50
Let y be ((-2)/18*2)/(3/(-9)). Solve -y*a**3 + 4/3 - 4/3*a**2 + 2/3*a = 0 for a.
-2, -1, 1
Let p(o) be the second derivative of 20*o + 0*o**2 - 1/21*o**4 + 4/7*o**3 + 0. Suppose p(b) = 0. What is b?
0, 6
Let t(m) be the first derivative of m**7/14 + m**6/10 - 3*m**5/20 - m**4/4 + 28*m - 51. Let x(o) be the first derivative of t(o). Solve x(d) = 0 for d.
-1, 0, 1
Let j(t) be the second derivative of -t**7/189 - 2*t**6/135 + 13*t**5/45 + 4*t**4/3 - 3*t**3 - 30*t**2 + 116*t - 1. Solve j(p) = 0.
-3, 2, 5
Let x(l) = l**2 + 9*l + 2. Let w be x(-9). Factor -w - 4 - 6*d**2 + 3 + 9*d.
-3*(d - 1)*(2*d - 1)
Let n = -13 + 16. Factor n*x**5 - 15*x**4 + 27*x**3 + 6*x + 8 - 7 - 1 - 21*x**2.
3*x*(x - 2)*(x - 1)**3
Let s(l) = l**2 + 8*l + 7. Let n be s(-7). Suppose n = 3*r - r - 2*k - 12, -5*r + 20 = -3*k. Suppose -2*f + r + 0*f**2 + 4*f**2 - 8*f**2 - f = 0. Calculate f.
-1, 1/4
Let m(l) = -2*l**3 - l**2 + 1. Let c(d) = 20*d**3 - 28*d**2 - 88*d + 18. Let r(p) = 2*c(p) + 12*m(p). Determine u so that r(u) = 0.
-2, 1/4, 6
Let j(q) be the third derivative of -q**7/210 + q**6/15 - 3*q**5/10 + 2*q**4/3 - 5*q**3/6 + 85*q**2. Factor j(b).
-(b - 5)*(b - 1)**3
Let p(z) be the third derivative of -z**6/210 + z**4/14 + 4*z**3/21 - 33*z**2 - 2*z. Factor p(c).
-4*(c - 2)*(c + 1)**2/7
Let m = -3959 + 7921/2. Factor m*r**3 + 0*r + 0 - 3/2*r**2.
3*r**2*(r - 1)/2
Suppose -f = -9 + 14. Let r = 9 + f. Let -n + 3*n + 2*n**2 - 2*n**3 + 2*n**r + 0*n**2 - 4*n**4 = 0. Calculate n.
-1, 0, 1
Let 3*l**3 + 9*l**2 - l - 11*l + 2*l**4 - 17*l**2 = 0. Calculate l.
-2, -3/2, 0, 2
Let l(c) be the third derivative of 0*c - 1/3*c**3 + 0 + 13*c**2 + 11/480*c**6 + 1/140*c**7 + 1/1344*c**8 + 1/120*c**5 - 1/8*c**4. Factor l(t).
(t - 1)*(t + 1)*(t + 2)**3/4
Let c(o) = o**2 + 13*o + 48. Let a be c(-10). Determine p so that 18*p + 46*p**2 - a*p**2 - 2*p**3 - 20*p**2 - 14*p**2 - 10 = 0.
-5, 1
Let m(y) = -y**3 - 20*y**2 + 46*y + 47. Let f be m(-22). Suppose f*l - 2*p = 6, -12 = -4*l + 4*p - 4. Factor -4/7*s**3 + 4/7*s**l + 4/7*s - 4/7*s**4 + 0.
-4*s*(s - 1)*(s + 1)**2/7
Let u(x) be the first derivative of -35*x**4/4 - 55*x**3 + 25*x**2 + 461. Suppose u(d) = 0. What is d?
-5, 0, 2/7
Let k = 36 - 30. Factor 8 + 12*v**2 - 3 + 4*v**2 - k.
(4*v - 1)*(4*v + 1)
Let m(p) = 11*p**4 + 46*p**3 - 87*p**2 - 158*p + 16. Let u(z) = 6*z**4 + 23*z**3 - 44*z**2 - 80*z + 8. Let j(t) = 6*m(t) - 13*u(t). Solve j(v) = 0.
-2, 1/12, 2
Let x = -1/181 - -733/1629. Let v be ((-35)/(-5) + 22 + -27)*(0 - -1). Factor -2/9*j**v + x + 2/9*j.
-2*(j - 2)*(j + 1)/9
Factor -6 - 9/2*r**2 + 10*r + 1/2*r**3.
(r - 6)*(r - 2)*(r - 1)/2
Let y(f) be the second derivative of f**3 + 2*f**2 + 1/40*f**5 + 0 + 1/4*f**4 - 18*f. Factor y(s).
(s + 2)**3/2
Let v(u) = -6*u**3 - 3*u**2 + 2*u + 2. Let d be v(2). Let p = -51 - d. Factor 1/2*h**2 - 2*h**p + 0*h 