 2. Suppose 5 = -t*m + m. Determine g, given that 2 + 4*g**3 + 14*g**2 - 2*g**5 - 12*g - 16*g**4 + g + 9*g**m = 0.
-1, 2/7, 1
Let -11*h**3 - 509*h**2 + 474*h**2 - h**4 + 36 - h**3 + 12*h = 0. What is h?
-6, -1, 1
Suppose 4*t - 2*g - 13 = -g, 0 = -5*t - 4*g + 32. Find c, given that -4/7*c**3 + 2/7*c + 0 + 2/7*c**5 + 0*c**2 + 0*c**t = 0.
-1, 0, 1
Let b(n) = -n**4 + n + 1. Let v(j) = -6*j**4 + 3*j**3 + 18*j**2 + 3*j + 3. Let g(s) = -3*b(s) + v(s). Factor g(q).
-3*q**2*(q - 3)*(q + 2)
Let s = 12 - 10. Determine t so that 4*t + 2*t**2 + 9*t**s - 9*t**2 = 0.
-2, 0
Let s(a) be the second derivative of a**4/60 - a**2/10 - 32*a. Factor s(o).
(o - 1)*(o + 1)/5
Suppose 0 = -4*i - 10 + 18. Let a(k) be the second derivative of 0*k**i - 4*k + 0 + 1/18*k**4 + 2/9*k**3. Let a(l) = 0. What is l?
-2, 0
Let o = -35 + 317/9. Suppose 4*k = 20, 34*f - 4*k = 32*f - 14. Find j such that -4/3*j**2 - o - 8/9*j - 2/9*j**4 - 8/9*j**f = 0.
-1
Let d = -16 + 11. Let v = 5 + d. Suppose v*i**2 + 0*i**2 - i**5 + 4*i**3 - 3*i**3 = 0. What is i?
-1, 0, 1
Let k(y) be the first derivative of 0*y - 1/2*y**2 + 1/4*y**4 - 3 - 1/5*y**5 + 1/3*y**3. Let k(i) = 0. What is i?
-1, 0, 1
Let l = -1 - -8. Let r(i) be the third derivative of 0 - 1/50*i**6 + 4/75*i**5 - 3/175*i**l + 0*i + i**2 + 1/15*i**3 + 1/10*i**4. Determine z so that r(z) = 0.
-1, -1/3, 1
Let z(a) = -a + 9. Let w be z(6). Let g = 5 - w. Factor -d**5 + 0*d**4 + 7*d**3 + 4*d**5 + 8*d**4 + 2*d**g.
d**2*(d + 1)**2*(3*d + 2)
Factor 32/3 - 8/3*n - 4/3*n**3 - 20/3*n**2.
-4*(n - 1)*(n + 2)*(n + 4)/3
Suppose -172*f = -173*f + 1. Factor 0*q + 3/4*q**2 - 1/4*q**3 - f.
-(q - 2)**2*(q + 1)/4
Let m = 46 + -31. Suppose j - 5 = 5*g, m = -2*g - 3*g + 3*j. Factor 0*p + 8/5*p**3 + 0 - 24/5*p**4 + 18/5*p**5 + g*p**2.
2*p**3*(3*p - 2)**2/5
Factor 0 - 4/7*a - 4/7*a**2.
-4*a*(a + 1)/7
Suppose 0*m + 12 = -2*m. Let g be -3*2/(m/3). Factor -4*o - 2*o**2 - o**g - 2*o + 5*o.
-o*(o + 1)**2
Factor -39/4*o**2 - 18*o + 3.
-3*(o + 2)*(13*o - 2)/4
Determine l so that 0 + 3/4*l**3 + 3/4*l**5 + 0*l**2 + 3/2*l**4 + 0*l = 0.
-1, 0
Let v(n) be the first derivative of -n**3/3 + n**2/2 + 24. Factor v(c).
-c*(c - 1)
Suppose -5 = 4*l - 21. Let b(w) = l*w - 5*w + w**2 + w**2. Let h(g) = g**2 - g. Let i(r) = b(r) - h(r). Let i(q) = 0. Calculate q.
0
Factor 2/7*x**4 + 0 + 0*x - 2/7*x**2 + 2/7*x**3 - 2/7*x**5.
-2*x**2*(x - 1)**2*(x + 1)/7
Let w be 1*-1*(-3 - 2). Suppose -3*r = 2*c - 5*c - 24, w*c = -2*r - 12. Solve -16/3*v**3 + 16*v**2 - 64/3*v + 32/3 + 2/3*v**r = 0 for v.
2
Let w(h) = -h - 1. Let o(f) = 3*f**2 - 10*f - 13. Let q(y) = -o(y) - 5*w(y). Suppose q(a) = 0. What is a?
-1, 6
Let o(k) be the first derivative of 1/120*k**6 + 0*k**2 - 2 - 1/48*k**4 - k + 1/80*k**5 - 1/24*k**3. Let m(g) be the first derivative of o(g). Solve m(l) = 0.
-1, 0, 1
Let u be (-235)/(-20) + (-2)/(-8). Let y(h) = -9*h**3 + 6*h**2 - 9*h + 12. Let l(o) = o**3 - o**2 + o - 1. Let d(i) = u*l(i) + y(i). What is j in d(j) = 0?
0, 1
Let n(s) be the second derivative of 1/10*s**6 - 3*s - 3/2*s**2 - 3/10*s**5 + 0 + 0*s**4 + s**3. Solve n(u) = 0 for u.
-1, 1
Let a(p) be the third derivative of p**6/360 + p**5/45 + 5*p**4/72 + p**3/9 - 6*p**2. Suppose a(k) = 0. Calculate k.
-2, -1
Let t = 9 - 4. Suppose -a + 12 = 5*u, 6*u + 2 = t*u + 2*a. Factor 3/2*o**u - 1/2*o**3 - 3/2*o + 1/2.
-(o - 1)**3/2
Suppose -23*u**3 - 9*u**5 + 6*u**4 + 50*u**3 - 13*u - 36*u**2 + 25*u = 0. Calculate u.
-2, 0, 2/3, 1
Suppose 3*j - 28 = -j. Suppose -j = -4*g + 1. Determine v so that 12*v**2 + 16*v + 0*v + 2*v**3 + 8 - g*v**2 = 0.
-2, -1
Let m(j) be the first derivative of -4*j**4 + 32*j**3 - 90*j**2 + 100*j - 41. Factor m(z).
-4*(z - 1)*(2*z - 5)**2
Factor -6*r - 8 - 3*r**2 + 6*r**2 + 5 - 6.
3*(r - 3)*(r + 1)
Factor -8/5*t + 1/5*t**2 + 12/5.
(t - 6)*(t - 2)/5
Let k(c) be the second derivative of -c**5/330 + c**4/66 - c**3/33 + 4*c**2 + 2*c. Let t(m) be the first derivative of k(m). Solve t(v) = 0 for v.
1
Let q(p) = 4*p**3 + 4*p**2 - 10. Let d(x) = x**3 - x**2 - 1. Let k(l) = -4*d(l) + 2*q(l). Factor k(o).
4*(o - 1)*(o + 2)**2
Let y(j) = j - 13. Let s be y(16). Suppose 7 = 2*a + 4*v - 59, -2*a - s*v + 63 = 0. Factor 4/3 - 32/3*p + a*p**3 + 15*p**2.
(p + 1)*(9*p - 2)**2/3
Let u(t) be the third derivative of t**8/2520 - t**7/1260 + t**3/2 + 3*t**2. Let i(b) be the first derivative of u(b). Solve i(j) = 0 for j.
0, 1
Let r(a) be the third derivative of 0*a + 0 - a**2 - 1/24*a**3 + 1/1344*a**8 + 1/280*a**7 - 1/120*a**5 - 1/32*a**4 + 1/240*a**6. Factor r(l).
(l - 1)*(l + 1)**4/4
Let u(g) = g. Let a(k) = -k**2 - 9*k - 9. Let x(v) = -a(v) - 3*u(v). Factor x(o).
(o + 3)**2
Let s = 6 + 2. Suppose -2*w = -j + 4 - s, 0 = j + 2*w - 8. Suppose -1/2*o**4 + 1/2*o**j + 1/4*o**3 + 0 - 1/4*o = 0. Calculate o.
-1, 0, 1/2, 1
Let b(a) = -a - 2. Let f be 0 + -5 - (0 - 1). Let g be b(f). Find v, given that 0*v**3 + g*v**3 + 0*v - v**5 - v = 0.
-1, 0, 1
Suppose k + 1 = 2, -k - 169 = -5*w. Let y = w - 304/9. Suppose -8/9*f**3 - 4/9*f**5 + 0 + 0*f - 10/9*f**4 - y*f**2 = 0. Calculate f.
-1, -1/2, 0
Let s(x) be the first derivative of -1/300*x**5 - 1/900*x**6 + 0*x - 2/3*x**3 + 0*x**4 + 1 + 0*x**2. Let z(c) be the third derivative of s(c). Solve z(o) = 0.
-1, 0
Let w(f) be the third derivative of f**6/270 - f**5/90 - 5*f**4/108 + 2*f**3/9 - 11*f**2 + 3*f. Solve w(g) = 0.
-3/2, 1, 2
Let a(o) be the third derivative of -3/4*o**4 + 0 + 3*o**2 - 9/2*o**3 - 1/20*o**5 + 0*o. Factor a(y).
-3*(y + 3)**2
Let w be 2 - 4 - 1 - -3. Let s(h) be the first derivative of 0*h + w*h**4 + 1/10*h**5 - 1/8*h**2 - 1/6*h**3 - 1 + 1/24*h**6. Factor s(j).
j*(j - 1)*(j + 1)**3/4
Let v = 13 - 12. Suppose -a - 12 = -4*u + 3*a, 0 = u + 3*a + v. Factor -2/5 + 2/5*b**3 + 6/5*b - 6/5*b**u.
2*(b - 1)**3/5
Let l(z) = -20*z**3 - 50*z**2 - 29*z + 1. Let x(v) be the third derivative of v**6/30 + v**5/6 + v**4/4 - v**2. Let b(j) = -2*l(j) - 11*x(j). Factor b(p).
-2*(p + 1)**2*(2*p + 1)
Let l(d) = 2*d**2 - 5*d + 4. Suppose 3*s = -0*s + 6. Let r be l(s). Factor 0*n**3 + 0*n + 2/3 + 2/3*n**4 - 4/3*n**r.
2*(n - 1)**2*(n + 1)**2/3
Factor 39 + 6 - 8*b**2 - 30*b**3 - 24*b**2 - 5*b**4 - 8*b**2 + 30*b.
-5*(b - 1)*(b + 1)*(b + 3)**2
Let c(r) be the third derivative of -r**6/120 + r**5/15 - r**4/6 + r**2. What is b in c(b) = 0?
0, 2
Let r(q) be the second derivative of -2*q**6/105 + 4*q**5/35 - 2*q**4/7 + 8*q**3/21 - 2*q**2/7 - 28*q. Factor r(s).
-4*(s - 1)**4/7
Suppose 2*r + 22 = -5*d, -2*d - 3*d = -5*r + 15. Let v be ((-2)/5)/(d/40). Factor 5*h**2 - v*h**2 - 2 + 4*h + 6.
(h + 2)**2
Let a(r) = -14*r**4 + 16*r**3 + 10*r**2 - 8*r - 2. Let k(p) = 41*p**4 - 48*p**3 - 29*p**2 + 24*p + 5. Let l(d) = -7*a(d) - 2*k(d). Find c, given that l(c) = 0.
-1/2, 1
Factor 1/3*k**4 + 1/3*k**2 - 2/3*k**3 + 0*k + 0.
k**2*(k - 1)**2/3
Let p(k) be the third derivative of -k**7/70 - k**6/120 + k**5/12 + k**4/24 - k**3/3 - k**2. Let p(s) = 0. Calculate s.
-1, 2/3, 1
Let p(h) be the third derivative of 0*h - 1/100*h**5 + 5*h**2 - 1/20*h**4 + 0 + 0*h**3. Determine m so that p(m) = 0.
-2, 0
Let h = 52 - 258/5. Factor -h*a**2 + 0 - 2/5*a.
-2*a*(a + 1)/5
Let d(n) be the third derivative of n**7/840 - n**6/240 + 35*n**2. Determine g, given that d(g) = 0.
0, 2
Let p be 8/2*(-5)/(-4). Factor a**p + 4*a**4 - 6*a**2 - 3*a + 2*a**5 + 2*a**4.
3*a*(a - 1)*(a + 1)**3
Solve 3/2*i**4 + 0 + 0*i**3 - 21/2*i**2 - 9*i = 0 for i.
-2, -1, 0, 3
Let c(y) be the second derivative of -y**4/3 + 4*y**3 + 3*y. Find f such that c(f) = 0.
0, 6
Let q(d) be the second derivative of -d**9/756 - d**8/280 - d**7/420 + d**3/2 + 3*d. Let w(l) be the second derivative of q(l). Factor w(f).
-2*f**3*(f + 1)*(2*f + 1)
Let d(a) = -2*a**2 - 24*a - 13. Let i(z) = 2*z - 1. Let y(p) = -d(p) - 3*i(p). What is x in y(x) = 0?
-8, -1
Factor -41*f**2 + 22*f**2 + 15*f**2 - 8*f.
-4*f*(f + 2)
Let x be 143/33 - (-1)/(-3). Suppose -x - 8 = -4*i. Factor 4/3*c**i - 2/3*c**4 - 2/3*c**2 + 0*c + 0.
-2*c**2*(c - 1)**2/3
Let j(x) = -5*x**3 + 17*x**2 + 3*x - 7. Let i(c) = 3*c**3 - 9*c**2 - 2*c + 3. Let d(a) = 7*i(a) + 4*j(a). Let u be d(-5). What is f in -u + 4 + 0 - f**2 = 0?
-1, 1
Let s(m) be the third derivative of -m**7/1680 + m**6/960 + 3*m**5/160 + 11*m**4/192 + m**3/12 - m**2 - 5*m. Suppose s(o) = 0. Calculate o.
-1, 4
Let j = -547450/9 + 60580. Let x = j - -248. Let 0*p + 2/