ive of -o**6/5 + 24*o**5/25 + 9*o**4/5 - 64*o**3/5 + 21*o**2 - 72*o/5 + 50. What is n in b(n) = 0?
-3, 1, 4
Suppose -22 = 2*x - 5*q, -x + 6*x + 70 = 5*q. Let u(j) = -4*j**3 + 28*j**2 - 8*j. Let i(o) = o**2. Let v(k) = x*i(k) + u(k). Factor v(g).
-4*g*(g - 2)*(g - 1)
Let a be -1 + 1 - (-10 + 8). Let f = -275/4 - -277/4. Factor f*q + 0 + 0*q**a - 1/2*q**3.
-q*(q - 1)*(q + 1)/2
Solve 0 + 0*d + 0*d**2 + 0*d**3 - 2/3*d**5 + 2*d**4 = 0.
0, 3
Let b(o) = 2*o. Let z(t) = -625*t**3 + 425*t**2 + 174*t + 16. Let p(d) = 10*b(d) + 2*z(d). Factor p(r).
-2*(r - 1)*(25*r + 4)**2
Suppose 3*g**2 - 24*g - 27 - 49 - 204 - 12*g + g**2 = 0. Calculate g.
-5, 14
Let o be ((-1116)/28)/(-9) + (-6)/14. Let z(b) be the first derivative of -3/2*b**4 + 2/5*b**5 + 2/3*b**3 - o*b + 4 + 3*b**2. Find g, given that z(g) = 0.
-1, 1, 2
Let w = 2/2579 + 2573/7737. Factor 1/6 + 1/6*r**5 - w*r**3 + 1/6*r**4 + 1/6*r - 1/3*r**2.
(r - 1)**2*(r + 1)**3/6
Let m be (3841/(-3))/((-12)/(-8)). Let o = -852 - m. Let -o*i**4 + 2*i**2 - 10/9*i**3 - 4/9 + 10/9*i = 0. What is i?
-1, 2/7, 1
Let k(l) be the first derivative of -4*l**3/9 - 34*l**2/3 - 56*l + 541. Factor k(q).
-4*(q + 3)*(q + 14)/3
Let z(s) be the second derivative of s**6/60 + s**5/8 - s**4/24 - 17*s**3/12 + 3*s**2 - 185*s - 1. Factor z(h).
(h - 1)**2*(h + 3)*(h + 4)/2
Let x = -633/10 + 54. Let d = 691/70 + x. Factor 2/7*t**2 + d*t + 0.
2*t*(t + 2)/7
Solve -324/5*i + 14/5*i**3 + 0 + 1/5*i**4 + 9/5*i**2 = 0 for i.
-9, 0, 4
Let g be (-30)/(-10) + 4 + -2. Suppose -4*d - n = -0*n - 12, 15 = g*d + 4*n. Factor 3/5*j + 2/5*j**2 - 1/5*j**5 + 1/5 - 2/5*j**d - 3/5*j**4.
-(j - 1)*(j + 1)**4/5
What is k in 51/4*k**4 + 48*k - 48*k**2 + 3*k**3 - 12 - 15/4*k**5 = 0?
-2, 2/5, 1, 2
Suppose 12*m - 7*m - 34 = 3*y, 0 = 4*m - 4*y - 40. What is s in 5/3*s - 1/3*s**2 + m = 0?
-1, 6
Suppose -2*r + 24 = 2*z - 0*r, -20 = -5*z + 3*r. Suppose 0 = -3*c - 5*l + 11 - 3, -c - 4*l = -5. Factor 5*h + 3*h**2 - 1 - z*h**2 + h**3 - c + 0*h**2.
(h - 2)*(h - 1)**2
Suppose -8*o = o + 21*o. What is l in -4/5*l**4 + o + 0*l + 0*l**2 + 2/5*l**5 + 2/5*l**3 = 0?
0, 1
Let o = 72 - 646/9. Let c(l) be the first derivative of 0*l**2 + o*l**3 + 0*l - 8/15*l**5 - 2 - 1/2*l**4. Determine i so that c(i) = 0.
-1, 0, 1/4
Let a(o) be the third derivative of -o**5/240 + 35*o**4/24 - 3*o**2 + 69*o. Factor a(m).
-m*(m - 140)/4
Let b(h) be the second derivative of -3*h**5/40 + 7*h**4/24 + h**3/4 - 7*h**2/4 - 6*h - 15. Factor b(l).
-(l - 1)*(l + 1)*(3*l - 7)/2
Suppose -103*t + 151 + 261 = 0. Factor 0 + 2/3*q**3 + 2*q**5 + 0*q - 10/3*q**t + 2/3*q**2.
2*q**2*(q - 1)**2*(3*q + 1)/3
Let k be (4/(1 - 3))/(-2). Let h(b) be the first derivative of b**5 - b**3 - 4*b**5 + 5*b**3 - 6 - 6*b**4 + k. Suppose h(q) = 0. What is q?
-2, 0, 2/5
Let d = -53/2 - -375/14. Let u = -2720 + 19044/7. Find o, given that d*o**3 + 2/7*o**5 + 0*o + 0*o**2 - u*o**4 + 0 = 0.
0, 1
Let p(w) = -2*w**2 - 11*w - 3. Let f(r) = 2*r**2 + 10*r + 3. Let i(t) = -6*f(t) - 5*p(t). Factor i(o).
-(o + 1)*(2*o + 3)
Let y = 14 - 11. Let z be y*8/60*5. What is g in -8*g**3 - g**z + 12*g**3 - 4*g**2 + g = 0?
0, 1/4, 1
Suppose 3*d - 33 = 4*c, 4*d = 4*c + 42 + 2. Let 5*w**3 - w**2 + d*w**2 - 6*w - 9*w = 0. What is w?
-3, 0, 1
Suppose 2/5*q**5 + 8/5*q**2 + 0 - 4/5*q**4 - 6/5*q**3 + 8/5*q = 0. What is q?
-1, 0, 2
Let 32/9*d**2 - 4 + 4/9*d**4 + 40/9*d - 40/9*d**3 = 0. What is d?
-1, 1, 9
Solve 4*n**2 - 9*n + 3*n**2 - 36 + 49*n - 11*n**2 = 0.
1, 9
Determine o, given that -2*o**2 + 680*o - 1602*o - 4802 + 726*o = 0.
-49
Let f(n) = -n**3 + 7*n**2 + 18*n - 5. Let w be f(9). Let v(g) = 3*g**2 - 19*g - 4. Let m(b) = -2*b**2 + 20*b + 4. Let k(i) = w*m(i) - 6*v(i). Factor k(d).
-2*(d - 2)*(4*d + 1)
Suppose -4*y - 8 = 20. Let f be (-5)/(-3) + y/(-21). Factor -12*g**3 + 5*g**2 - f + 11*g**3 - 3*g**2 + g.
-(g - 2)*(g - 1)*(g + 1)
Let j(u) = -4*u**3 + 12*u**2 + 62*u - 146. Let y(g) = 2*g**2 + g - 1. Let w(b) = j(b) - 2*y(b). Factor w(n).
-4*(n - 3)**2*(n + 4)
Let a(g) be the first derivative of 25*g**3/3 + 285*g**2/2 + 110*g - 35. Factor a(m).
5*(m + 11)*(5*m + 2)
Suppose 0 = -y + 4*q, 4 = 4*y + 3*q - 15. Suppose y*l - 2 = 10. Find k, given that k**3 - 4*k**3 + 3*k**5 + l*k**4 + 5*k**2 - 8*k**2 + 0*k**3 = 0.
-1, 0, 1
Let h(f) = 2*f**3 - 5*f**2 - 4*f + 8. Let u be h(3). Suppose -5*c + 3*c - t = 1, u*t + 5 = 3*c. Factor -1/6*o**3 + c - 1/3*o**2 - 1/6*o.
-o*(o + 1)**2/6
Factor -58*o**2 + 80*o - 59*o**3 + 8 + 63*o**3 - 34.
2*(o - 13)*(o - 1)*(2*o - 1)
Factor -15*g**4 + 66*g**2 - 38*g**2 - 31*g**2 + 18*g**3.
-3*g**2*(g - 1)*(5*g - 1)
Let p(n) be the third derivative of -n**7/1120 + n**6/144 - n**5/120 + n**4/4 + 18*n**2. Let u(h) be the second derivative of p(h). Let u(y) = 0. Calculate y.
2/9, 2
Let o(x) = x**4 + x**3 + 17*x**2 + 19*x + 26. Let t(c) = c**3 + 2*c**2 - c + 1. Let d(y) = 5*o(y) - 40*t(y). Factor d(l).
5*(l - 6)*(l - 3)*(l + 1)**2
Let t(u) be the second derivative of -2107*u**5/130 + 1253*u**4/78 - 200*u**3/39 + 4*u**2/13 + 148*u + 2. Suppose t(d) = 0. Calculate d.
1/43, 2/7
Let l(j) = -j**4 - 46*j**3 - 125*j**2 + 4*j - 4. Let q(h) = 2*h**4 + 47*h**3 + 125*h**2 - 3*h + 3. Let o(m) = 3*l(m) + 4*q(m). Factor o(g).
5*g**2*(g + 5)**2
Let i = 2098 - 8389/4. Let k(v) be the first derivative of -i*v**4 - v**3 + 15/2*v**2 - 9*v + 4. Factor k(w).
-3*(w - 1)**2*(w + 3)
Let p be (-14)/(-7) + 0*(20/(-8) - -3). Factor 8/7*r - 2/7*r**p - 6/7.
-2*(r - 3)*(r - 1)/7
Suppose -23 - 4291*q**4 + 16*q**2 - 16*q**5 + 4311*q**4 - 72*q - 13 + 88*q**3 = 0. Calculate q.
-1, -3/4, 1, 3
Factor 5 + 177*l**2 - 3*l - 21*l**3 - 153*l**2 - 5.
-3*l*(l - 1)*(7*l - 1)
Suppose -u + 4 = -2*b, -u = -3*u - 2*b + 2. Let a = -274 + 280. Suppose -12*k**u - a*k - 4*k**3 + 4*k - 6*k = 0. Calculate k.
-2, -1, 0
Solve 26*h**3 - 33*h**2 + 109*h**4 - 150*h**4 - 113*h**3 - 223*h**4 + 297*h**2 + 60*h + 27*h**5 = 0 for h.
-1, -2/9, 0, 1, 10
Let q(z) be the third derivative of -z**5/390 - 2*z**4/13 - 48*z**3/13 + 49*z**2 - 2*z. Solve q(t) = 0.
-12
Let j be 28*(-7)/(-16) - (-1)/(-4). Let b be 665/42 + 2/j. Factor -b + 12*l - 3*l**2 + 1/4*l**3.
(l - 4)**3/4
Let u(l) be the third derivative of -l**7/3780 + l**6/180 - l**5/20 + l**4/4 - l**3 - 3*l**2. Let m(a) be the first derivative of u(a). Factor m(d).
-2*(d - 3)**3/9
Let g(c) be the second derivative of -11/40*c**5 - 5/3*c**4 + 1/84*c**7 + 0 + 1/30*c**6 - 4*c**2 + 30*c - 11/3*c**3. What is b in g(b) = 0?
-2, -1, 4
Suppose -11*h - 1 = 1 - 2. Let -2/3*n**2 + h*n + 2/3 = 0. Calculate n.
-1, 1
Factor 5*r**4 + 138*r + 2 + 85*r**2 + 28 + 95*r**3 - 60*r**3 - 53*r.
5*(r + 1)**2*(r + 2)*(r + 3)
Suppose -36 = -s - 4*k + 8*k, 3*s = k + 108. Determine f so that 4*f**2 - s - 2*f**2 + 9*f**2 - 7*f**2 = 0.
-3, 3
Let y be ((-1625)/(-15))/13 + -8. Let j(x) be the first derivative of 4/5*x**5 - 4*x - 16/3*x**3 - x**4 + 1 + y*x**6 - 7*x**2. Determine m, given that j(m) = 0.
-1, 2
Let z(q) be the second derivative of q**10/60480 + q**9/11340 + q**8/6720 - q**6/4320 + q**4/4 - q. Let d(h) be the third derivative of z(h). Factor d(p).
p*(p + 1)**3*(3*p - 1)/6
Let -2/5*x**2 + 6/5 - 4/5*x = 0. What is x?
-3, 1
Let t(j) = -2*j**3 - 14*j**2 + j + 9. Let b = -73 + 66. Let n be t(b). Factor 0*y + 2/3*y**n + 0.
2*y**2/3
Let t(d) be the second derivative of 48/5*d**3 + 1 + 3*d + 193/75*d**6 + 204/25*d**5 + 16/5*d**2 + 11/35*d**7 + 188/15*d**4. Solve t(r) = 0.
-2, -1, -2/3, -2/11
Let t be (23 + -24)*(-1 + -1). Let g(v) be the first derivative of -4/5*v**5 - 32/9*v**3 - 4/3*v + 3*v**t - 3 + 7/3*v**4 + 1/9*v**6. Factor g(m).
2*(m - 2)*(m - 1)**4/3
Let r(u) be the third derivative of -u**6/120 + u**5/15 - 2*u**2 - 10*u. Factor r(w).
-w**2*(w - 4)
Let y = 42 + -36. Factor -4*t + 4*t + y*t**3 - 10*t**2 + 0*t**5 + 4*t + 2*t**4 - 2*t**5.
-2*t*(t - 1)**3*(t + 2)
Let a = -3/509 - -1109/101800. Let u(l) be the third derivative of 1/1050*l**7 + 1/150*l**5 + 5*l**2 + 0 + 0*l**3 + a*l**6 + 0*l**4 + 0*l. Factor u(g).
g**2*(g + 1)*(g + 2)/5
Suppose 2/9*g**3 - 32/9 + 2/9*g**2 - 32/9*g = 0. What is g?
-4, -1, 4
Suppose 0 = 2100*q - 2113*q + 39. Determine f, given that 9/5*f**4 + 21/5*f**2 + 24/5*f**q + 0 + 6/5*f = 0.
-1, -2/3, 0
Let l(d) be the second derivative of d**6/120 + 7*d**5/60 + 5*d**4/12 + 7*d**2 - 6*d. Let f(w) be the first derivative of l(w). Solve f(x) = 0 for x.
-5, -2, 0
Let b be 