0. What is b?
3
Let x(g) be the second derivative of 25*g**7/252 + g**6/6 - 11*g**5/120 - g**4/6 + g**3/9 + 33*g. Suppose x(b) = 0. Calculate b.
-1, 0, 2/5
Let h be 5/(-60)*9 - (-2 - 1). Let u be -3 + ((-3)/(-1) - 6/(-4)). Factor -u*l - h - 1/4*l**2.
-(l + 3)**2/4
Let i(u) be the first derivative of u**4/3 - 2*u**3/3 - 5*u - 6. Let w(h) be the first derivative of i(h). Factor w(l).
4*l*(l - 1)
Find w, given that -2*w**3 - 960/7*w - 256/7 - 228/7*w**2 = 0.
-8, -2/7
Let y(w) be the first derivative of 1/21*w**3 + 0*w**2 - 1/7*w + 9. Factor y(r).
(r - 1)*(r + 1)/7
Factor 156*q**2 - 432*q + 4/3*q**4 - 24*q**3 + 432.
4*(q - 6)**2*(q - 3)**2/3
Let w(q) be the first derivative of 1/12*q**6 + 1/4*q**2 + 15 - 1/4*q**4 + 0*q + 0*q**3 + 0*q**5. Solve w(j) = 0 for j.
-1, 0, 1
Let i(p) be the first derivative of -p**5/5 + 3*p**4/2 - 7*p**3/3 - 3*p**2 + 8*p + 10. Let i(v) = 0. What is v?
-1, 1, 2, 4
Let m = 1 - 11/12. Let s(l) be the second derivative of -1/18*l**3 + m*l**2 - 1/24*l**4 + l + 0. Factor s(p).
-(p + 1)*(3*p - 1)/6
Let s(d) = -d**3 - 50*d**2 + 58*d + 360. Let l be s(-51). Let 3*j**2 + 12/5 - 24/5*j - 3/5*j**l = 0. What is j?
1, 2
Suppose 32/3 - 104/3*a - 28/3*a**2 = 0. Calculate a.
-4, 2/7
Let v be ((-84)/(-693))/(9/((-99)/(-2))). Let v*s**2 - 2/3*s**4 + 2/9*s + 0 - 2/9*s**3 = 0. What is s?
-1, -1/3, 0, 1
Let j be (-1 - (-80)/84)/(137/(-959)). Factor -j*k + 1 + 1/3*k**3 - k**2.
(k - 3)*(k - 1)*(k + 1)/3
Suppose 10*n = -7*n + 85. Suppose -w + 5*b + 4 = 0, -20 + 0 = -n*w + b. Factor 5/2*t**2 + 0 - t - 2*t**3 + 1/2*t**w.
t*(t - 2)*(t - 1)**2/2
Let v be 2/(2/34*2). Factor 20*t**2 - t + v*t + 24*t**2.
4*t*(11*t + 4)
Suppose w**4 + 1/3*w**5 + 2*w - 7/3*w**2 + 0 - w**3 = 0. What is w?
-3, -2, 0, 1
Factor -560*f + 5*f**2 + 13486 - 4282 + 6476.
5*(f - 56)**2
Factor 1077*g**2 - 1092*g**2 - 12*g**3 - 2*g + 71*g + 18.
-3*(g - 2)*(g + 3)*(4*g + 1)
Let n(j) = -48*j**4 + 201*j**3 + 597*j**2 + 192*j - 72. Let h(s) = s**4 - 3*s**3 - s**2 - s - 1. Let y(l) = 12*h(l) + n(l). Solve y(d) = 0 for d.
-2, -2/3, 1/4, 7
Suppose 77 = 4*u + 69. Let p(i) be the second derivative of i + 4/21*i**3 + 0*i**u + 0 + 3/35*i**5 - 5/21*i**4. Factor p(s).
4*s*(s - 1)*(3*s - 2)/7
Let b = 12 - 6. Suppose b = -5*h + 16. Let q**3 + 0*q**3 + q**3 - 3*q - q + h*q**2 = 0. What is q?
-2, 0, 1
Factor -1/12*o**2 + 0 - 17/4*o.
-o*(o + 51)/12
Suppose -78*o + 43*o = -16*o. Let o + 84/5*r**3 - 16/5*r + 46/5*r**4 + 8/5*r**5 + 8*r**2 = 0. Calculate r.
-2, 0, 1/4
Let k = 1951 + -33165/17. Factor 0 + k*g**4 + 16/17*g**2 - 8/17*g - 10/17*g**3.
2*g*(g - 2)**2*(g - 1)/17
Let l(w) be the second derivative of 0 - 1/4*w**6 - 5/72*w**4 + 0*w**3 + 5/63*w**7 + 1/4*w**5 + 0*w**2 + 8*w. Factor l(m).
5*m**2*(m - 1)**2*(4*m - 1)/6
Let m(d) be the first derivative of d**4/8 + d**3/2 - 5*d**2/2 + 174. Factor m(g).
g*(g - 2)*(g + 5)/2
Let s(d) be the first derivative of d**5/15 + d**4/2 + d**3 + 26. Let s(r) = 0. What is r?
-3, 0
Let z(w) = 11*w - 11. Let d be z(1). Let p(l) be the third derivative of 6*l**2 + 3/20*l**5 + 0 + d*l - 1/8*l**4 - l**3. Factor p(m).
3*(m - 1)*(3*m + 2)
Let n(p) = 19*p**3 - 631*p**2 + 15639*p + 16211. Let y(i) = 3*i**3 - 105*i**2 + 2606*i + 2702. Let f(h) = -6*n(h) + 39*y(h). Factor f(o).
3*(o - 52)**2*(o + 1)
Let c(d) be the second derivative of -5*d**4/12 - 265*d**3/6 - 130*d**2 + 864*d. What is k in c(k) = 0?
-52, -1
Let -7038*m**3 + 6958*m**3 + 80*m - 4 + m**2 + 3*m**2 + 0*m**2 = 0. What is m?
-1, 1/20, 1
Let p(l) be the third derivative of -l**5/630 - 5*l**4/126 - 16*l**3/63 + 8*l**2 + 1. Factor p(t).
-2*(t + 2)*(t + 8)/21
Suppose -9*q + 3 = -12*q + 4*w, 3*q - 6 = w. Let y(k) be the first derivative of 3 + 3/10*k**5 + 0*k**2 - k**q + 0*k - 3/8*k**4. Find s such that y(s) = 0.
-1, 0, 2
Determine w, given that 1461*w - 394*w**2 - 117 - 453*w - 1145*w**2 - 75 + 729*w**3 = 0.
1/3, 8/9
Let g(s) be the third derivative of s**6/120 - 19*s**5/60 + 10*s**4/3 + 50*s**3/3 - 2*s**2 + 32. Solve g(d) = 0 for d.
-1, 10
Let p(k) = 6*k**4 + 82*k**3 + 80*k**2 - 62*k - 66. Let z(w) = -2*w**4 - 27*w**3 - 26*w**2 + 21*w + 22. Let h(d) = -6*p(d) - 20*z(d). Factor h(m).
4*(m - 1)*(m + 1)**2*(m + 11)
Let h(k) be the second derivative of k**6/300 - 19*k**5/150 + 4*k**4/3 + 20*k**3/3 - 45*k**2/2 + 2*k - 2. Let b(i) be the first derivative of h(i). Factor b(n).
2*(n - 10)**2*(n + 1)/5
Suppose 7 + 17 = 12*h. Factor -t**4 + 8*t**4 - 10*t**3 - h*t**4.
5*t**3*(t - 2)
Suppose 0*o = 3*o - 30. Suppose o = 3*a + 2*a. Factor p**4 - a*p + 2*p**3 - 1 - 14*p**2 + 14*p**2.
(p - 1)*(p + 1)**3
Let n be (-2)/(4*(155/(-30) - -5)). Solve 1/3 - 5/3*u**2 + u**n + 1/3*u = 0 for u.
-1/3, 1
Determine p so that 2*p**3 + 36 - 23*p - 30*p + 10*p**2 - 6*p - 7*p + 18 = 0.
-9, 1, 3
Let n(c) be the first derivative of -1/21*c**3 - 1/42*c**6 - 4/7*c**2 + 3 - 4/7*c + 5/28*c**4 + 1/35*c**5. What is l in n(l) = 0?
-1, 2
Let q(y) be the second derivative of -y**4/108 - 4*y**3/27 - 7*y**2/18 - 3*y. Determine a, given that q(a) = 0.
-7, -1
Let u be (5 - 1)*(10/(-4))/5. Let g(r) = r**2 - 1. Let o(i) = 4*i**3 + 8*i**2 + 2*i - 2. Let z(p) = u*o(p) + 4*g(p). Factor z(n).
-4*n*(n + 1)*(2*n + 1)
Let a(k) = -9*k**4 + 24*k**3 - 30*k**2 - 5*k. Let q(u) = -8*u**4 + 24*u**3 - 28*u**2 - 4*u. Let n(d) = 4*a(d) - 5*q(d). Factor n(b).
4*b**2*(b - 5)*(b - 1)
Let s be (96/56)/((75/(-1722))/(-5)). Let t = s + -195. Factor 0*b**2 + t*b**4 + 0 + 0*b + 6/5*b**3.
3*b**3*(3*b + 2)/5
Suppose -4*z = -9*z - 55. Let x = z + 13. Factor -2*t + 15*t**2 + x*t**2 + 6*t - 3*t**2.
2*t*(7*t + 2)
Determine l so that 21/4*l**2 - 1/4*l**4 + 0 - 9/2*l - 1/2*l**3 = 0.
-6, 0, 1, 3
Let n(g) be the first derivative of 2*g**4 - 28*g**3/3 - 6*g**2 + 72*g - 64. Factor n(q).
4*(q - 3)*(q - 2)*(2*q + 3)
Let a = 149 + -141. Determine o, given that o - 3*o + 6*o + 8*o - a - 4*o**2 = 0.
1, 2
Let o = 16301/3 - 5433. Determine q so that o - 1/3*q - 2/3*q**2 + 1/3*q**3 = 0.
-1, 1, 2
Let o(y) be the first derivative of -y**4/24 + y**3/6 - y**2/4 - 19*y - 8. Let v(t) be the first derivative of o(t). Factor v(z).
-(z - 1)**2/2
Factor -16/9*u + 8/3*u**2 + 0 + 2/9*u**4 - 4/3*u**3.
2*u*(u - 2)**3/9
Let b = 23313 - 23311. Suppose 96*x + 63*x**b + 48 + 3/2*x**4 + 33/2*x**3 = 0. What is x?
-4, -2, -1
Determine c so that -c**3 + 102*c**2 + 62*c**4 - 48 - 396*c + 416*c**3 - 168 + 52*c**4 - 28*c**3 + 9*c**5 = 0.
-6, -1, -2/3, 1
Let u(r) be the third derivative of r**6/420 - 11*r**5/210 + 5*r**4/28 + 9*r**3/7 + 792*r**2. Factor u(v).
2*(v - 9)*(v - 3)*(v + 1)/7
Let w(c) be the first derivative of -28*c**6/15 - 6*c**5/5 - c**4/5 - 107. Determine l so that w(l) = 0.
-2/7, -1/4, 0
Let r(y) be the second derivative of -y**7/105 + y**6/75 + 7*y**5/25 + 2*y**4/15 - 8*y**3/3 - 32*y**2/5 - y - 97. What is l in r(l) = 0?
-2, -1, 2, 4
Let v(o) be the second derivative of -o**5/10 + 5*o**4/6 - 2*o**3/3 - 8*o**2 - o + 13. Factor v(f).
-2*(f - 4)*(f - 2)*(f + 1)
Let o = 52 - 49. Let k be 36/10 + 6/15. Factor -x + k*x**3 + o*x**4 - 7*x**4 + 0*x**3 + 4*x**2 - 3*x.
-4*x*(x - 1)**2*(x + 1)
Let a(c) be the first derivative of -1/12*c**4 + 0*c + 1 + 5/2*c**2 + 0*c**3 - 1/20*c**5. Let p(j) be the second derivative of a(j). Factor p(f).
-f*(3*f + 2)
Suppose 4*a + 137 - 137 = 0. Let r(w) be the second derivative of 1/66*w**4 + 0*w**2 + a*w**3 - 3*w + 0 - 2/55*w**5. Factor r(x).
-2*x**2*(4*x - 1)/11
What is t in 2*t**2 - 3*t**3 + 22*t**2 - 2*t**3 - 20 - 9*t**2 = 0?
-1, 2
Factor -183*o**4 + 163*o**4 - 19*o**3 - 5*o**3 + 16*o**2 - 4*o**5 + 32*o.
-4*o*(o - 1)*(o + 2)**3
Factor -2*n**2 + 68 + 28 + 81*n - 77*n.
-2*(n - 8)*(n + 6)
Let i = -281/2 + 147. Factor -35/4*k**3 - 49/8*k**4 - k + 0 + i*k**2.
-k*(k + 2)*(7*k - 2)**2/8
Determine x so that 0*x - 64/3*x**2 + 16*x**3 + 5*x**4 + 1/3*x**5 + 0 = 0.
-8, 0, 1
Factor 5602*m + 12*m**2 + 112 + 16*m**2 - 5202*m.
4*(m + 14)*(7*m + 2)
Factor 7*d**5 + 9*d**2 - 184*d - 183*d + 365*d - 9*d**4 + 0*d**2 - 5*d**3.
d*(d - 1)**2*(d + 1)*(7*d - 2)
Let d = 14953/4 + -3738. Let y = -6 - -10. Factor 0 - 1/2*w**2 + 1/4*w + 0*w**3 - d*w**5 + 1/2*w**y.
-w*(w - 1)**3*(w + 1)/4
Let g(c) be the first derivative of -16 - 9/22*c**4 + 0*c + 2/11*c**5 - 10/33*c**3 + 2/11*c**2 + 7/33*c**6. Find i, given that g(i) = 0.
-1, 0, 2/7, 1
Factor -902289 + 40401/2*v + 3/8*v**3 - 603/4*v**2.
3*(v - 134)**3/8
Let k(o) be the 