. Solve -8/7*j**3 + 4/7*j**2 + 0*j + 0 + d*j**4 = 0 for j.
0, 1
Let x(c) = -c + 5. Let q be x(4). Suppose -2*i - q + 21 = 5*o, o + 5*i - 27 = 0. Suppose 2/7*s + 0 - 2/7*s**o = 0. Calculate s.
0, 1
Let c(h) = 5*h**2 + 5*h + 12. Let q(y) = 55*y**2 + 55*y + 130. Let j(z) = -65*c(z) + 6*q(z). Find i, given that j(i) = 0.
-1, 0
Suppose 0 = 14*u - 13*u + 1. Let y be (-9)/(3/u) - 1. Factor -2/3*o**3 + 0 - 4/3*o + y*o**2.
-2*o*(o - 2)*(o - 1)/3
Factor 10/21*f + 4/21 + 2/21*f**3 + 8/21*f**2.
2*(f + 1)**2*(f + 2)/21
Suppose -4*j = 3*o + 31, -2*o - 32 = 2*o - 4*j. Let f be (o/(-54))/((-2)/(-16)). Determine d, given that 2/3*d**2 + 2/3 + f*d = 0.
-1
Let h(q) be the third derivative of 2*q**2 + 0 - 2/27*q**4 + 1/18*q**5 + 0*q - 4/27*q**3 + 1/60*q**6. Determine l so that h(l) = 0.
-2, -1/3, 2/3
Let w(d) be the first derivative of 30*d**3 - 15*d**2 + 5*d/2 - 20. Factor w(g).
5*(6*g - 1)**2/2
Suppose -m = -4*m - 3*v + 21, v - 4 = 0. Suppose 0 = -m*n + 3*y + 24, 3*y - 60 + 12 = -5*n. Determine l so that 2*l**2 + n*l + 3*l - 8*l - 6*l**3 = 0.
-2/3, 0, 1
Let a(f) = f**2 + 4*f - 3. Let v = -10 - -8. Let j(h) = 1. Let x(w) = v*a(w) - 14*j(w). Factor x(g).
-2*(g + 2)**2
Find z such that -32 + 36*z**4 + 24*z**2 + 148*z + 101*z**3 - 217*z**3 - 4*z = 0.
-1, 2/9, 2
Let a be (-2)/3 - (-1206)/27. Let j be a/12 + -3 - 0. Factor -16*t**3 + 32/3*t**4 + 6*t**2 + 0 - j*t.
2*t*(t - 1)*(4*t - 1)**2/3
Factor 2/3*o + 1/3*o**2 + 0 - 1/3*o**3.
-o*(o - 2)*(o + 1)/3
Let t(z) = z**2 - 2*z - 2. Let i(h) = -1. Let u(d) = 6*i(d) - 3*t(d). Suppose u(s) = 0. What is s?
0, 2
Let l(b) be the second derivative of 1/15*b**3 - 3*b - 1/50*b**5 + 0*b**4 + 0*b**2 + 0. Factor l(f).
-2*f*(f - 1)*(f + 1)/5
Let v(z) be the second derivative of -3*z**5/20 + 3*z**4/2 - 6*z**3 + 12*z**2 - 14*z. Factor v(t).
-3*(t - 2)**3
Let b = -18 - -20. Suppose 4*w + w - 32 = 3*o, -b*w + 4 = o. Determine h so that 1/3 - 1/3*h**w - 2/3*h**3 + 0*h**2 + 2/3*h = 0.
-1, 1
Suppose 0*l - 2*l = -t - 58, 3*l = -2*t - 81. Let x be 2/5*t/(-32). Solve -9/5*i**2 - 3/5*i**3 - x - 9/5*i = 0.
-1
Let m be -2*(6/(-90))/(4/5). Determine y, given that -1/6*y**2 + 0*y - 1/6*y**3 + 0 + m*y**5 + 1/6*y**4 = 0.
-1, 0, 1
Factor -4/3 + 1/6*d**3 - 2/3*d + 1/3*d**2.
(d - 2)*(d + 2)**2/6
Let l(a) = 73*a - 509. Let s be l(7). Factor 0 - 2/5*k**5 + 8/5*k**4 + 0*k - 2*k**3 + 4/5*k**s.
-2*k**2*(k - 2)*(k - 1)**2/5
Let g = 175 - 172. Suppose 2/5*t**2 - 2/5*t**g + 1/5 - 1/5*t**5 - 3/5*t**4 + 3/5*t = 0. Calculate t.
-1, 1
Let q be 6 + -1 + (4 + -14 - -7). Factor 0 + 8*v**2 - q*v + 9/2*v**3.
v*(v + 2)*(9*v - 2)/2
Let b(y) = 16*y**3 + y**2 - 1. Let w be b(-1). Let v be 3 + (-3)/((-18)/w). Factor 2/3*l**4 + 0 + 0*l - v*l**5 + 0*l**2 - 1/3*l**3.
-l**3*(l - 1)**2/3
Let x(j) be the third derivative of -j**6/540 + j**5/135 + 7*j**4/108 + 4*j**3/27 - 5*j**2 - 2. Solve x(o) = 0 for o.
-1, 4
Let d(o) = 3*o**4 + 16*o**3 - 2*o**2 - 40*o + 27. Let c(y) = 6*y**4 + 31*y**3 - 5*y**2 - 79*y + 54. Let v(x) = 4*c(x) - 7*d(x). Find r such that v(r) = 0.
-3, 1
Determine c, given that 4*c**4 - 18 + 12*c**2 + 8 + 16*c - 6 - 16*c**3 = 0.
-1, 1, 2
Let p(r) be the third derivative of -r**5/150 + r**4/30 - 7*r**2. What is c in p(c) = 0?
0, 2
Suppose 0 = -2*r - 3*a - 7, 0 = 2*r + 5*a - a + 12. Factor -2 - k**4 - 4*k + 4*k**3 + k**r - 2*k**4 + 4.
-2*(k - 1)**3*(k + 1)
Let z(b) be the first derivative of -b**6/24 - b**5/20 + b**4/8 + b**3/6 - b**2/8 - b/4 - 11. Factor z(r).
-(r - 1)**2*(r + 1)**3/4
Let q(u) be the first derivative of u**8/2184 - u**7/2730 - u**6/468 + u**5/390 + 5*u**3/3 + 1. Let v(r) be the third derivative of q(r). Solve v(t) = 0 for t.
-1, 0, 2/5, 1
What is p in -3*p**2 + 6 - 3*p**2 - 8*p + 3*p**2 + 5*p**2 = 0?
1, 3
Let y(g) = -g**3 + g**2 - g + 1. Let b(v) = -2*v**3 + 22*v**2 + 10*v + 6. Let m(z) = b(z) - 6*y(z). Suppose m(k) = 0. What is k?
-2, 0
Let a(h) be the third derivative of h**7/70 - 3*h**6/40 + 3*h**5/20 - h**4/8 - 4*h**2. Factor a(f).
3*f*(f - 1)**3
Let p(y) be the first derivative of -2*y**5/35 + 2*y**3/21 + 7. Let p(f) = 0. What is f?
-1, 0, 1
Let m = 103 - 59. Let v be 2*(54 - (3 - 1)). Let -8 - 44*w - 37*w**3 + 14*w**2 - 27*w**4 - v*w**2 - m*w**3 = 0. Calculate w.
-1, -2/3
Let d(y) be the third derivative of y**9/37800 - y**8/5600 + y**7/2100 - y**6/1800 - 7*y**4/24 - 6*y**2. Let u(j) be the second derivative of d(j). Factor u(w).
2*w*(w - 1)**3/5
Let j(h) be the second derivative of 3/140*h**5 + 2*h + 0*h**3 + 1/70*h**6 + 0*h**2 + 1/294*h**7 + 0 + 1/84*h**4. What is r in j(r) = 0?
-1, 0
Let p = -283 - -283. Factor p*s**4 + 4/7*s**5 + 0 + 8/7*s**2 + 0*s - 12/7*s**3.
4*s**2*(s - 1)**2*(s + 2)/7
Let y = 38 + -32. Let h(k) be the first derivative of -k**2 + 3 - 15/2*k**4 - 16/3*k**3 + 16/3*k**y + 0*k + 16/5*k**5. Suppose h(l) = 0. Calculate l.
-1, -1/4, 0, 1
Let x(a) be the third derivative of a**2 + 1/42*a**4 - 1/210*a**6 + 0 + 1/735*a**7 + 0*a - 1/21*a**3 + 0*a**5. Suppose x(i) = 0. Calculate i.
-1, 1
Let n = 1/266 - -527/1330. Factor 6/5*y + 2/5*y**4 - 6/5*y**3 + n*y**2 - 4/5.
2*(y - 2)*(y - 1)**2*(y + 1)/5
Let k be (-2)/(-6)*(-3 - -1). Let l = 1 + k. Solve 0 - 2/3*j - l*j**2 = 0.
-2, 0
Factor 0 - 5/3*w**4 + 5/3*w**3 + 10/3*w**2 + 0*w.
-5*w**2*(w - 2)*(w + 1)/3
Let j(k) be the first derivative of -k**5/25 - k**4/5 - k**3/3 - k**2/5 + 7. Suppose j(a) = 0. Calculate a.
-2, -1, 0
Let k(r) = r**2 - 6. Let m be k(0). Let i = m + 7. Find z, given that 3 - 2*z**2 + 0 - i = 0.
-1, 1
Let k(y) = -y**2 + 8*y - 6. Let a be k(6). Let m(i) = i**3 - 5*i**2 - 7*i + 8. Let j be m(a). Solve -2 + 3*g - 3*g**j + g**2 + g**2 = 0 for g.
1, 2
Let j = 28562/35 - 816. Let r(s) be the first derivative of -4 + 0*s - j*s**5 - 1/7*s**4 + 0*s**2 - 2/21*s**3. What is k in r(k) = 0?
-1, 0
Let b(k) be the second derivative of -k**4/6 + 4*k**3/3 - 3*k**2 + 2*k. What is i in b(i) = 0?
1, 3
Let y be 2/9 + (-28)/180. Let n(m) be the third derivative of -1/50*m**5 + 1/300*m**6 + 1/20*m**4 + 0 - 2*m**2 + 0*m - y*m**3. What is b in n(b) = 0?
1
Let i be (3 - 6)*(-2)/3. Factor -2/3*d + 2/3*d**3 + 1/3 + 0*d**i - 1/3*d**4.
-(d - 1)**3*(d + 1)/3
Let z(y) be the first derivative of -3/16*y**4 + 1/20*y**5 - 7 + 1/4*y**3 - 1/8*y**2 + 0*y. Find i, given that z(i) = 0.
0, 1
Let u(s) = 5*s - 1. Let a be u(1). Suppose 22 = -r - 6*c + c, 0 = -5*r + 5*c + 40. Factor 3*j**4 + j**5 - 4*j**4 + j**a - j**r.
j**3*(j - 1)*(j + 1)
Let r(z) be the first derivative of 4*z**3 + 9*z**2/2 - 3*z + 32. Solve r(m) = 0 for m.
-1, 1/4
Suppose 0 = 4*h + 7 - 47. Suppose z = -b + 6, 4*z - h = 6. Factor -3*w**2 + 4*w**b - 2*w**2.
-w**2
Let y(u) be the second derivative of -u**7/63 - 23*u**6/180 - 47*u**5/120 - 5*u**4/9 - u**3/3 + 13*u + 4. Determine d so that y(d) = 0.
-2, -1, -3/4, 0
Factor -y**3 - 2 + 13/3*y - 4/3*y**2.
-(y - 1)*(y + 3)*(3*y - 2)/3
Let z(d) be the second derivative of d**4/60 + d**3/30 + 5*d. Factor z(m).
m*(m + 1)/5
Suppose -2*z = 3*z - k + 1270, 2*z = 4*k - 508. Let c = z + 770/3. Factor 2/3*x**3 - 4/3 - c*x**2 + 10/3*x.
2*(x - 2)*(x - 1)**2/3
Let s(t) be the first derivative of -1/45*t**6 + 1/15*t**4 - 1/15*t**2 + 0*t**5 + 0*t - 4 + 0*t**3. Find l, given that s(l) = 0.
-1, 0, 1
Let d(q) be the third derivative of 1/60*q**5 + 2*q**2 - 1/240*q**6 + 0 + 0*q**3 - 1/48*q**4 + 0*q. Determine s so that d(s) = 0.
0, 1
Let l(v) be the third derivative of 4*v**7/105 + v**6/20 - v**5/30 + 18*v**2. What is f in l(f) = 0?
-1, 0, 1/4
Let i be 12/(-8)*(-16)/6. Suppose 6*z - i*g = 3*z + 28, -2*g - 4 = z. Factor -2*o - z - 2*o**2 + 2 + 4 + 2*o**3.
2*(o - 1)**2*(o + 1)
Let g(k) be the third derivative of -k**8/1176 + k**7/245 - k**6/210 - k**5/105 + k**4/28 - k**3/21 + 7*k**2. What is x in g(x) = 0?
-1, 1
Let c(k) be the first derivative of k**6/1080 + k**5/360 - k**4/36 + 2*k**3/3 + 5. Let s(p) be the third derivative of c(p). Determine i so that s(i) = 0.
-2, 1
Let c(h) be the third derivative of h**6/12 - 4*h**5/15 + h**4/12 + 2*h**3/3 + 18*h**2. Factor c(u).
2*(u - 1)**2*(5*u + 2)
Let 2/3*i**5 - 2/3*i**4 + 2/3*i - 2/3 + 4/3*i**2 - 4/3*i**3 = 0. What is i?
-1, 1
Let y = 1 + -19. Let j(k) = -k**3 + k. Let o(r) = 2*r**2 - r - 7*r + 0*r + 10*r**3. Let b(x) = y*j(x) - 2*o(x). Solve b(t) = 0.
-1, 0
Let 4*s**5 + 32*s - 4*s**4 - 32*s = 0. What is s?
0, 1
Let r(d) be the first derivative of -d**4/12 + 3*d + 5. Let t(a