s**2 - 84*s - 144. Let r(j) = 24*o(j) - 5*t(j). What is f in r(f) = 0?
-2/7, 2/3
Let p be (6 - 3 - 3)/2. Let h be -3 + (-2)/(-5) + 3. Determine y so that -2/5 + h*y**2 + p*y = 0.
-1, 1
Let a(r) be the first derivative of r**5/60 + r**4/24 - r**3/3 + r**2/2 + 2. Let s(f) be the second derivative of a(f). Find u such that s(u) = 0.
-2, 1
Let x = -9 + 12. Let c(t) be the third derivative of 1/480*t**6 + 0*t**4 + t**2 + 0*t + 1/240*t**5 + 0 + 0*t**x. Factor c(u).
u**2*(u + 1)/4
Let l(t) be the third derivative of 1/36*t**4 + 0*t + 1/90*t**5 + 3*t**2 + 0*t**3 + 0. Suppose l(y) = 0. What is y?
-1, 0
Factor 0 + 2/13*a + 2/13*a**3 + 4/13*a**2.
2*a*(a + 1)**2/13
Factor -1/3*b**2 + 0 + 1/3*b.
-b*(b - 1)/3
Let v(u) = -2*u**2 - 16*u - 22. Suppose -5*o = 10, 0*o - 7 = p + 4*o. Let n(b) = -b - 1. Let g(s) = p*v(s) - 4*n(s). Factor g(i).
-2*(i + 3)**2
Let n(d) = -4*d + 56. Let t be n(14). Let o(l) be the third derivative of t*l - 1/30*l**5 - 1/42*l**4 + 4*l**2 + 0*l**3 + 0. Find m, given that o(m) = 0.
-2/7, 0
Let v(k) be the third derivative of -4*k**5/75 - k**4/60 - 23*k**2 + k. Factor v(h).
-2*h*(8*h + 1)/5
Let d(s) be the second derivative of 5*s**7/126 - 7*s**6/90 - s**5/20 + 7*s**4/36 - s**3/9 - 3*s. Determine i, given that d(i) = 0.
-1, 0, 2/5, 1
Let g be -1 - -4 - 2/(-8)*10. What is x in -g*x**3 - 7/2*x**4 + 1/4*x + 1/2 - 3/4*x**5 - 3*x**2 = 0?
-2, -1, 1/3
Let k(j) be the second derivative of -4/3*j**3 + 0 - 3*j + 9/5*j**5 + 0*j**2 - 2/3*j**7 + 5/3*j**4 - 2/3*j**6. Determine d so that k(d) = 0.
-1, 0, 2/7, 1
Suppose -v + 8 = 6. Determine c so that 6*c + 5 - 2*c**2 + 4*c**2 + c**v - 2 = 0.
-1
Let d(v) = 2*v**2 + 2*v. Let s be 15/12 - (-2)/(-8). Let y be -1 + 10*(2 - s). Let p(w) = w**2 + w. Let i(l) = y*p(l) - 4*d(l). Suppose i(k) = 0. Calculate k.
-1, 0
Let w(j) be the second derivative of j**7/231 + 2*j**6/165 - j**4/33 - j**3/33 - j. Factor w(q).
2*q*(q - 1)*(q + 1)**3/11
Let r = 643/3 - 214. Factor -1/3*z + 0 - r*z**2.
-z*(z + 1)/3
Let b(j) be the first derivative of -j**6/360 - j**5/60 + 5*j**3/3 - 3. Let a(c) be the third derivative of b(c). Factor a(y).
-y*(y + 2)
Let l be ((-21)/42)/(22/(-8)). Factor -l*j**2 + 2/11*j + 4/11.
-2*(j - 2)*(j + 1)/11
Suppose -11*c + 7*c = 108. Let n be (-16)/(-20)*(-15)/c. Factor -n*p - 2/9*p**2 - 2/9.
-2*(p + 1)**2/9
Let u(d) be the third derivative of d**10/12600 + d**9/2880 - d**8/3360 - d**5/15 - 9*d**2. Let s(w) be the third derivative of u(w). Factor s(r).
3*r**2*(r + 2)*(4*r - 1)
Let i(k) be the second derivative of k**7/3360 + k**6/480 + k**5/240 - k**3/2 - 4*k. Let l(n) be the second derivative of i(n). Factor l(y).
y*(y + 1)*(y + 2)/4
Let z(p) be the third derivative of p**6/2700 + p**5/300 + p**4/90 + 3*p**3/2 + 9*p**2. Let k(o) be the first derivative of z(o). Suppose k(w) = 0. Calculate w.
-2, -1
Let q(j) = j**2 + 7*j + 12. Let y be q(-5). Determine x, given that 4*x**4 + x - x**3 - x**y + 6*x**4 - 9*x**4 = 0.
-1, 0, 1
Let u(m) be the second derivative of -1/21*m**3 - m + 0*m**2 + 0 + 1/42*m**4. Factor u(z).
2*z*(z - 1)/7
Let z be 3*(70/15 + -4). Suppose -5*b + 4 = z*l, 2*l + b = 3*l - 2. Determine v, given that 2*v**2 + l*v + 2/3*v**3 + 2/3 = 0.
-1
Let y be (6/(-200))/((-2)/8). Let g = 37/100 - y. Factor -g*l**3 - 1/4*l**5 - 1/2*l**4 + 0*l + 0 + 0*l**2.
-l**3*(l + 1)**2/4
Let b(i) be the second derivative of -3*i**8/448 - i**7/280 + i**6/60 + i**5/60 - 5*i**2/2 - 5*i. Let o(z) be the first derivative of b(z). Factor o(j).
-j**2*(j - 1)*(3*j + 2)**2/4
Suppose 5*q - 12 = 8. Let g(y) be the first derivative of 2 + 0*y + 1/16*y**q + 0*y**3 + 0*y**2. Factor g(v).
v**3/4
What is n in 8/11 + 2/11*n**2 + 8/11*n = 0?
-2
Let n(z) be the second derivative of 35*z**4/12 + 65*z**3/3 - 20*z**2 - 8*z + 1. Determine d, given that n(d) = 0.
-4, 2/7
Let w(h) be the third derivative of h**6/660 - h**4/132 + h**2. Find d such that w(d) = 0.
-1, 0, 1
Let u = 10 + -7. Let g be 1 + u/(-3*2). Determine p so that -1/2 - g*p**2 - p = 0.
-1
Let z(j) be the second derivative of -7*j**6/60 + 23*j**5/40 - j**4/4 - 2*j + 41. Suppose z(n) = 0. What is n?
0, 2/7, 3
Let y = 668/3 + -222. What is x in 0*x + y*x**2 + 0 = 0?
0
Let v(t) = -t**2 + 18. Let d be v(-4). Let h = 2 - 2. Determine r so that 1/2*r**d + 0*r + h = 0.
0
Let k(s) = -s**2 + s + 3. Let i be k(0). What is g in 7*g**2 + 7*g**3 - i*g**2 - 3*g**3 = 0?
-1, 0
Let p(c) be the second derivative of -c**5/5 + 2*c**3 + 4*c**2 + 14*c. Solve p(h) = 0 for h.
-1, 2
Let g be ((-175)/28)/(-25)*(-6)/(-1). Solve -g*i + 0 - 3/2*i**2 = 0.
-1, 0
Let n(w) be the third derivative of w**7/70 - w**6/20 - 3*w**5/5 - 7*w**4/4 - 5*w**3/2 + w**2 - 2*w. Let n(b) = 0. Calculate b.
-1, 5
Let n(j) be the third derivative of j**7/756 + j**6/135 + j**5/60 + j**4/54 - j**3/2 + 2*j**2. Let x(r) be the first derivative of n(r). Factor x(f).
2*(f + 1)**2*(5*f + 2)/9
Let l = 110 + -107. Let y(z) be the first derivative of -8/3*z**3 + 0*z + z**2 + 3 + 1/3*z**6 + l*z**4 - 8/5*z**5. Solve y(k) = 0.
0, 1
Let i(a) = -a - 9. Let x be i(-11). Let w be (-3 - x)*2/(-10). Factor 3/2*d + 1/2*d**2 + w.
(d + 1)*(d + 2)/2
Let f = 256/1071 + -2/119. Find k such that f*k**3 + 0*k**2 + 0 + 0*k = 0.
0
Suppose -4*o = n - 20, -n - 6 - 6 = -4*o. Factor o*l**3 + 0*l**3 + l**4 - 3*l**4 - 2*l**2.
-2*l**2*(l - 1)**2
Let v = 3 - 3. Suppose 4*z + v - 5 = -3*d, -8 = -2*z + 4*d. Factor -1 - 7*p - 49/4*p**z.
-(7*p + 2)**2/4
Let o(p) = -p**2 - 2*p + 17. Let g be o(-5). Let i(n) be the first derivative of 2 + 0*n + 2/9*n**3 + 1/3*n**g. Solve i(f) = 0.
-1, 0
Let y(t) = -3*t**2 + 3*t - 12. Let g(z) = z - 1. Let w(o) = 15*g(o) + y(o). Solve w(i) = 0.
3
Let x(j) = 7*j**2 - 17*j - 5. Let w(a) = -6*a**2 + 16*a + 6. Let l(p) = 3*w(p) + 2*x(p). Factor l(r).
-2*(r - 4)*(2*r + 1)
Let v be 6/4 + 10/20. Solve m - m**2 + 2*m**2 + v*m**2 = 0.
-1/3, 0
Let i(m) be the second derivative of m**6/10 + 27*m**5/20 + 21*m**4/4 + 19*m**3/2 + 9*m**2 - m + 37. Let i(q) = 0. Calculate q.
-6, -1
Factor -16/3*y + 32 + 2/9*y**2.
2*(y - 12)**2/9
Let i(y) be the second derivative of 0 + 0*y**2 - 1/5*y**5 - 2*y + 2/3*y**3 + 1/15*y**6 - 1/6*y**4. Factor i(n).
2*n*(n - 2)*(n - 1)*(n + 1)
Let t(i) be the second derivative of -3*i + 1/10*i**2 + 0 + 1/60*i**4 - 1/15*i**3. Suppose t(n) = 0. Calculate n.
1
Let a be ((0/5)/(-3))/4. Let 0 + 2/5*z**5 + a*z**2 + 0*z - 2/5*z**3 + 0*z**4 = 0. What is z?
-1, 0, 1
Let b(i) = -6*i**2 + 26*i - 4. Suppose -4*g + 0*g + 2*z - 22 = 0, 3*g + 3*z - 6 = 0. Let f(c) = 2*c**2 - 9*c + 1. Let h(j) = g*b(j) - 8*f(j). Factor h(a).
2*(a - 2)*(a - 1)
Factor 8*u**2 + 2*u**3 - 2*u**2 - 2*u**4 - 2*u**2.
-2*u**2*(u - 2)*(u + 1)
Suppose 4*v = -4*y + 20, -5*v - y + 11 = -10. Suppose 2*q**3 - q**2 - v*q**3 + q**3 + 2*q**4 = 0. Calculate q.
-1/2, 0, 1
Let a(c) = 9*c**5 - 90*c**4 - 30*c**3 + 90*c**2 - 21. Let p(n) = -n**5 + 9*n**4 + 3*n**3 - 9*n**2 + 2. Let m(j) = -2*a(j) - 21*p(j). Factor m(r).
3*r**2*(r - 3)*(r - 1)*(r + 1)
Let o(v) be the third derivative of v**8/168 - 2*v**7/105 + v**6/60 + 3*v**2. Factor o(d).
2*d**3*(d - 1)**2
Let y be (-12 - -4)*2/(-4). Let q(z) be the third derivative of 0*z + 1/504*z**8 + 0 + 1/36*z**y - z**2 + 0*z**5 + 0*z**3 - 1/90*z**6 + 0*z**7. Factor q(g).
2*g*(g - 1)**2*(g + 1)**2/3
Suppose 4*c = -0*c. Suppose 3*m - 5*m = c. Factor -11/2*g**2 + g + 15/2*g**3 + m.
g*(3*g - 1)*(5*g - 2)/2
Let f(u) = 2*u**2 + 2*u - 2. Let r be f(-2). Let n = 113 + -337/3. Factor 0*b + 0 + n*b**r.
2*b**2/3
Let o(v) = v**3 + 6*v**2 + 5*v - 6. Let n(f) = -f**3 - 7*f**2 - 6*f + 7. Let b(y) = 6*n(y) + 7*o(y). Factor b(a).
a*(a - 1)*(a + 1)
Let o(x) = 3*x - 1. Let s be o(4). Suppose 5*l = s + 4. Factor 2*w**4 + 4*w**3 + 0*w**3 - 6*w**l - 4*w**2.
2*w**2*(w - 2)*(w + 1)
Let d(n) = -n**3 + 4*n**2 - 2*n. Let r = 3 + 0. Let b be d(r). Factor 3/5*y**b - 3/5*y**2 + 0 + 0*y.
3*y**2*(y - 1)/5
Suppose 0 = 2*f + d, 0*f = 3*f - d. Let u(s) be the second derivative of 0*s**3 - 1/4*s**4 + f + 3/2*s**2 - 4*s. Factor u(z).
-3*(z - 1)*(z + 1)
Let f(q) be the first derivative of 2*q**5/15 - q**4/6 - 5. Factor f(u).
2*u**3*(u - 1)/3
Factor -1/2 + 7/8*i**2 - 5/4*i**3 + 3/8*i**4 + 1/2*i.
(i - 2)*(i - 1)**2*(3*i + 2)/8
Let l(a) be the first derivative of -7*a**6/10 + 3*a**5/5 + 111*a**4/20 + 31*a**3/5 + 9*a**2/5 - 8. Determine x, given that l(x) = 0.
-1, -2/7, 0, 3
Suppos