f(o) = o**2. Let d(a) = -18*f(a) - g(a). Factor d(m).
-3*(m - 4)*(m + 1)
Let c(s) = -10*s**3 + 6*s**2 + 10*s - 6. Let t(w) = 29*w**3 - 19*w**2 - 29*w + 19. Let a(u) = 17*c(u) + 6*t(u). Suppose a(j) = 0. What is j?
-1, 1, 3
Let r(x) = -4*x**2 + 2*x. Suppose -9 = 4*l - 1. Let h(t) = 3*t**2 - 2*t. Let v(b) = l*r(b) - 3*h(b). Factor v(o).
-o*(o - 2)
Factor 1/4 - 1/2*k + 1/4*k**2.
(k - 1)**2/4
Suppose 4*x - 12 = -0*x. Let 2*c - 2*c**x + 11 - 8 + 1 - 4*c**2 = 0. What is c?
-2, -1, 1
Let s(v) be the first derivative of -v**3/3 - 5*v**2 - 25*v - 12. Factor s(q).
-(q + 5)**2
Let v(o) be the third derivative of -o**8/1344 - 5*o**2. Solve v(i) = 0 for i.
0
Let k(m) = m**5 - m**4 + m**3 - 7*m**2. Let i(r) = -2*r**5 + 2*r**4 + 8*r**2 + r. Let y(z) = 4*i(z) + 6*k(z). Let y(v) = 0. What is v?
-2, 0, 1
Let r be 0 + (6 + -4)/48. Let c(u) be the third derivative of -r*u**6 - 1/3*u**3 + 2*u**2 + 0*u + 0 + 5/24*u**4 - 1/30*u**7 + 3/20*u**5. Factor c(k).
-(k - 1)*(k + 1)**2*(7*k - 2)
Let c = -305 - -30803/101. Let b = 109/404 + c. Determine p, given that b*p**2 - 1/2 - 1/4*p = 0.
-1, 2
Let z(b) be the third derivative of -b**7/10080 - b**6/1440 - b**4/4 - 3*b**2. Let c(y) be the second derivative of z(y). Let c(j) = 0. What is j?
-2, 0
Let n(i) = 13*i**3 + 8*i**2 - 8*i - 13. Let m(p) = 20*p**3 + 12*p**2 - 12*p - 20. Let c(s) = 5*m(s) - 8*n(s). Suppose c(y) = 0. What is y?
-1, 1
Let v(w) = w**2. Let m(k) = -5*k**2 + 20*k + 15. Let q(o) = -m(o) - 10*v(o). Determine l so that q(l) = 0.
-3, -1
Let b be 12/((-6)/(-4)*1). Determine y so that 0*y**2 - 8 + 0*y**2 + b*y - 2*y**2 = 0.
2
Let y(p) be the third derivative of 3*p**7/40 - p**6/160 - 23*p**5/80 + p**4/32 + p**3/4 - 6*p**2. Let y(q) = 0. What is q?
-1, -2/7, 1/3, 1
Let k(i) be the second derivative of 0*i**2 - 1/130*i**5 + 2/39*i**4 + 0 - 4/39*i**3 - 10*i. Solve k(s) = 0.
0, 2
Let g(k) = -17*k**3 - 65*k**2 + 66*k + 24. Let m(h) = -120*h**3 - 456*h**2 + 462*h + 168. Let p(n) = -27*g(n) + 4*m(n). Factor p(q).
-3*(q - 1)*(q + 4)*(7*q + 2)
Let w(n) be the second derivative of 9*n - 1/3*n**3 + 0 + 1/20*n**5 + 1/12*n**4 + 0*n**2. Factor w(t).
t*(t - 1)*(t + 2)
Suppose -2*y - 3 = -5*y. Factor m - 3 + 0*m**2 + y + m**2 + 0*m**2.
(m - 1)*(m + 2)
Let j(f) be the second derivative of 1/12*f**4 + 1/40*f**5 + 1/12*f**3 + 0*f**2 + f + 0. Determine b so that j(b) = 0.
-1, 0
Let c be (1 - 20/24)*8. Suppose c - 3*z**2 - 16/3*z = 0. What is z?
-2, 2/9
Factor 192/5*w + 24/5*w**2 + 1/5*w**3 + 512/5.
(w + 8)**3/5
Let y(t) = t**3 + 4*t**2 - 7*t - 6. Let s be y(-5). Factor -8/7*b**s + 0*b + 10/7*b**3 + 0 - 4/7*b**2 + 2/7*b**5.
2*b**2*(b - 2)*(b - 1)**2/7
Let i(z) be the second derivative of 0 - 7/195*z**6 + 1/26*z**4 - 2*z - 16/39*z**3 + 4/13*z**2 + 8/65*z**5. Let i(v) = 0. Calculate v.
-1, 2/7, 1, 2
Suppose -6/5*g - 2/5*g**2 + 0 = 0. Calculate g.
-3, 0
Suppose -6 = -5*n - 3*i, -3*n - 2*n + 5*i - 10 = 0. Solve -k**2 + 14 + k**3 - 13 + n*k + 2*k - 3*k = 0.
-1, 1
Suppose 0 = 3*h + 2*s - 14, 3*h + s - 22 = -3*s. Solve 28/5*l**3 - 14/5*l - 8/5*l**h + 4/5 + 4/5*l**4 - 14/5*l**5 = 0.
-1, 2/7, 1
Let q(a) be the second derivative of -4*a**5/5 - a**4 + 2*a**3/3 + 6*a. Factor q(s).
-4*s*(s + 1)*(4*s - 1)
Let -8/7 - 6/7*m**2 - 4/7*m**3 + 16/7*m + 2/7*m**4 = 0. Calculate m.
-2, 1, 2
Let g(q) be the second derivative of q**4/3 - 4*q**3/3 + 2*q**2 + 9*q. Let g(u) = 0. What is u?
1
Suppose -4*w + 45 = 5*n, -2*n + 5*w = 1 + 14. Let z be (2/(-3))/(2/(-9)). Find c such that 4*c**4 + 3*c**3 - 7*c**z + 2*c**3 + 0*c**3 - 2*c**n = 0.
0, 1
Let t(o) be the third derivative of o**8/504 - 2*o**7/315 - 2*o**2. Solve t(d) = 0 for d.
0, 2
Let p(t) = -t + 8. Let s be p(4). Let 17*f**2 - 12 + 12*f**5 - 20*f**2 + 9*f**5 + 48*f + 15*f**s - 54*f**3 - 15*f**3 = 0. Calculate f.
-2, -1, 2/7, 1
Factor -3*l - 16*l**3 + 5*l**3 + 12*l**3 + 2 + 0.
(l - 1)**2*(l + 2)
Let n(i) = i**4 + i**3 + 1. Let l(u) = 8*u**4 - 15*u**3 + 17*u**2 - 1. Let k(t) = -l(t) + 3*n(t). Find y, given that k(y) = 0.
-2/5, 1, 2
Suppose 5*r - 20 = -0. Find y, given that 0 - 1/2*y**2 - 1/2*y**3 + 1/2*y**5 + 0*y + 1/2*y**r = 0.
-1, 0, 1
Let g(x) be the first derivative of -5*x**4/4 - 25*x**3/3 + 15*x**2 + 15. Factor g(b).
-5*b*(b - 1)*(b + 6)
Let i(g) = g**3 - g + 1. Let h(w) = 3*w**4 - 3*w**3 - 3*w**2 + 3*w - 2. Suppose 0 = 5*n - 8 + 18. Let r(q) = n*i(q) - h(q). Find s, given that r(s) = 0.
-1, 0, 1/3, 1
Let a(m) = 2*m**2 - 3*m - 2. Let v be a(2). Factor 0*y**4 + 2/5*y**3 - 2/5*y**5 + 0*y + 0*y**2 + v.
-2*y**3*(y - 1)*(y + 1)/5
Let c be (12/3)/2 - -4. Let f(u) = -7*u**4 - 19*u**3 + 8*u - 4. Let n(w) = 4*w**4 + 10*w**3 - 4*w + 2. Let k(d) = c*f(d) + 11*n(d). Factor k(x).
2*(x - 1)**3*(x + 1)
Let g(y) be the third derivative of y**5/60 + y**4/6 + y**3/2 + 26*y**2. Suppose g(m) = 0. What is m?
-3, -1
Let s(k) be the second derivative of 1/36*k**4 + 1/180*k**5 + 0 + 1/27*k**3 - 2*k + 0*k**2. Determine u so that s(u) = 0.
-2, -1, 0
Let p be 1 + -7 - 156/(-24). Solve -1/2*g**2 - p*g**3 + 1/2 + 1/2*g = 0 for g.
-1, 1
Factor -1/2*i**2 + 1/2*i**4 + 1/2*i**3 + 0 - 1/2*i.
i*(i - 1)*(i + 1)**2/2
Let t be (3 + (-9)/3)/1. Let l = t + 2. Solve 2*u**l + 2*u**4 + 1/2*u + 3*u**3 + 0 + 1/2*u**5 = 0.
-1, 0
Let b(i) be the second derivative of i**6/60 + i**5/20 + i**4/24 - 24*i. Let b(t) = 0. What is t?
-1, 0
Let p(t) = 5*t**4 + 7*t**3 - 5*t**2 - t - 6. Let y(j) = -6*j**4 - 8*j**3 + 6*j**2 + j + 7. Let h(q) = -7*p(q) - 6*y(q). Factor h(i).
i*(i - 1)**2*(i + 1)
Let b be 1/9*(-4 - -2)/(-2). Let c(s) be the first derivative of 0*s**3 + 2/9*s**2 - 1 - b*s**4 - 2/45*s**5 + 2/9*s. Factor c(z).
-2*(z - 1)*(z + 1)**3/9
Let a = -224 + 1132/5. Factor 3/5 + 12/5*c + a*c**2.
3*(2*c + 1)**2/5
Let v be (2/(-15))/((-1)/(-1480)). Let g = v - -199. Factor -4/3*b - 1/3 - g*b**2 - 2/3*b**3.
-(b + 1)**2*(2*b + 1)/3
Let o(p) be the third derivative of p**10/50400 - p**9/10080 + p**8/6720 - p**5/15 + 2*p**2. Let d(x) be the third derivative of o(x). Factor d(f).
3*f**2*(f - 1)**2
Let y = -14 - -19. Factor 4*i**3 + 2*i**y + 2*i**3 + 6*i**4 - 6*i**2 + 8*i**2.
2*i**2*(i + 1)**3
Solve 192/5*j**3 - 3/5 + 36/5*j - 144/5*j**2 = 0.
1/4
Let l = -3/46 - -153/230. Factor 27/5 + l*q**2 + 18/5*q.
3*(q + 3)**2/5
Let p(y) be the second derivative of 0*y**4 + y + 1/3*y**3 - 3/10*y**5 + 0*y**2 + 2/15*y**6 + 0. Factor p(s).
2*s*(s - 1)**2*(2*s + 1)
Let l = -46 + 48. What is i in -1/3 + 1/3*i**l + 0*i = 0?
-1, 1
Let x(s) be the second derivative of s**6/360 + s**3/6 - 2*s. Let w(u) be the second derivative of x(u). Solve w(h) = 0 for h.
0
Let x be 12/(-7) - (-12)/(-42). Let h = -2 - x. What is w in 0*w + 0*w**2 + 2/7*w**4 + h - 2/7*w**3 = 0?
0, 1
Let g(o) = -o**5 + o**3 + o**2 - o + 1. Let t(s) = 8*s**5 - 8*s**4 - 4*s**3 - 4*s**2 + 4*s - 4. Let l(h) = 4*g(h) + t(h). Find v such that l(v) = 0.
0, 2
Let g be ((-176)/(-14))/(11 - 9). Suppose -4*b - 5*i = -25, -3*b + 11 = -0*b - 4*i. Factor -48/7*o**4 - 16/7*o**2 + 0 - g*o**3 - 2/7*o - 18/7*o**b.
-2*o*(o + 1)**2*(3*o + 1)**2/7
Let c(v) be the second derivative of -3*v**7/98 + 2*v**6/35 + v**5/28 - v**4/7 + 2*v**3/21 - 4*v. What is b in c(b) = 0?
-1, 0, 2/3, 1
Let n(c) be the second derivative of c**6/1260 - c**5/420 - c**4/42 + c**3/6 + 5*c. Let x(w) be the second derivative of n(w). Factor x(q).
2*(q - 2)*(q + 1)/7
Let w(i) be the first derivative of -3/7*i**2 - 4/21*i**3 + 1/7*i**4 - 2/7*i + 2 + 6/35*i**5 + 1/21*i**6. Factor w(j).
2*(j - 1)*(j + 1)**4/7
Let c(h) be the first derivative of 375*h**4/4 - 75*h**3 + 45*h**2/2 - 3*h + 5. Factor c(p).
3*(5*p - 1)**3
Find u, given that -2 - 3*u**3 - 13/2*u**2 - 6*u - 1/2*u**4 = 0.
-2, -1
Factor -2*z**5 - 2*z**2 - 41*z**4 + 43*z**4 + 2*z**3 + 0*z**2.
-2*z**2*(z - 1)**2*(z + 1)
Let k(i) = -6*i**5 - i**4 - i**3 - 24*i**2 + 7*i + 12. Let f(t) = -3*t**5 - 12*t**2 + 3*t + 6. Let u(d) = 13*f(d) - 6*k(d). What is v in u(v) = 0?
-1, 1, 2
Let o(h) be the second derivative of -h**5/4 - 5*h**4/3 + 5*h**3/6 + 10*h**2 + 18*h. What is v in o(v) = 0?
-4, -1, 1
Let c(s) be the first derivative of -s**6/60 - 2*s**5/15 - 5*s**4/12 - 2*s**3/3 + s**2 - 4. Let o(l) be the second derivative of c(l). What is a in o(a) = 0?
-2, -1
Factor 0*t - 2/3*t**5 + 0*t**3 + 0*t**2 + 0 - 4/3*t**4.
-2*t**4*(t + 2)/3
Let a = 13 + -23/2. Let g(i) be the second derivative of -3/5*i**5 - 2*i**3 - 1/10*i**6 - 3*i