1)**2/3
Find j such that 21*j**3 - 30*j**3 + 3*j**4 + 2*j**2 + 4*j**2 = 0.
0, 1, 2
Let x(d) = -3*d + 14. Let k be x(0). What is n in k*n**5 - 17*n**5 + n**4 + 2*n**4 = 0?
0, 1
Let a(g) be the third derivative of g**8/84 - 2*g**7/105 - g**6/30 + g**5/15 + 18*g**2. Suppose a(t) = 0. What is t?
-1, 0, 1
Suppose 0 + 2/3*u**5 - 1/3*u**4 - u**3 + 1/3*u**2 + 1/3*u = 0. What is u?
-1, -1/2, 0, 1
Let r be 1/((-1)/(-4)) + -1. Let x(o) be the first derivative of -1/8*o**4 + 1 + 0*o**r + 1/4*o**2 + 0*o. Determine z so that x(z) = 0.
-1, 0, 1
Let r(f) be the third derivative of f**5/30 + f**4/12 + 4*f**2. Let r(a) = 0. What is a?
-1, 0
Let s(c) = c**2 + 6*c + 1. Let a(t) = -2*t**2 - 13*t - 2. Let o(q) = -4*a(q) - 9*s(q). Factor o(w).
-(w + 1)**2
Let u = 10 + -6. Find o, given that 3*o + u*o**4 + o + 2*o**5 + 2*o**3 - 4*o = 0.
-1, 0
Suppose 0 = r - 114 + 111. Let s(t) be the third derivative of -r*t**2 - 1/12*t**4 + 0*t - 1/60*t**5 - 1/6*t**3 + 0. Solve s(c) = 0.
-1
Factor 4 - 7*u + u - 1 + 11*u**2 - 8*u**2.
3*(u - 1)**2
Let o = -33/28 - -10/7. Let a be (-14)/(-20) - (-19)/(-95). Factor a*g + o*g**2 + 0.
g*(g + 2)/4
Determine o so that -3*o**3 - 65*o**2 + 3*o**4 + 65*o**2 = 0.
0, 1
Suppose d = -4, -12 = -2*f - 8*d + 10*d. Determine y, given that -3/4 - 1/4*y**f - y = 0.
-3, -1
Let l = 27 + -27. Let x(g) be the third derivative of 1/30*g**5 + l*g + 0*g**4 + 1/30*g**6 + 0 + 0*g**3 + 1/105*g**7 - 2*g**2. What is h in x(h) = 0?
-1, 0
Suppose -4*s + 9 = -s. Find c, given that 5*c**2 - s*c**2 + 8*c + 5 + 3 = 0.
-2
Let i = 368/3 - 122. Factor -4/9*r - i*r**2 - 2/9*r**3 + 0.
-2*r*(r + 1)*(r + 2)/9
Let j be 5 - -10*(-2)/10. Factor -1/5*q**4 + 0*q**j + 0 + 1/5*q**2 + 0*q.
-q**2*(q - 1)*(q + 1)/5
Suppose 3*s + 2*s = 20. Factor -s*z**2 - 1 + 18*z**3 - 5*z - 1 - 19*z**3.
-(z + 1)**2*(z + 2)
Let d(a) be the third derivative of a**5/20 + 5*a**4/24 + a**2. Let s(x) = -8*x**2 - 14*x. Let w be -14*(-1 + -2 + 4). Let n(q) = w*d(q) - 5*s(q). Factor n(f).
-2*f**2
Let h(v) be the third derivative of -243*v**7/70 - 81*v**6/20 - 9*v**5/5 - v**4/3 - 18*v**2. Factor h(j).
-j*(9*j + 2)**3
Let w(q) be the first derivative of -1/10*q**5 + 1/4*q**4 - 1/12*q**6 + 1/3*q**3 - 1/4*q**2 - 1/2*q + 4. Factor w(u).
-(u - 1)**2*(u + 1)**3/2
Let z(o) be the first derivative of -o**4/18 - 2*o**3/27 - 11. Factor z(w).
-2*w**2*(w + 1)/9
Suppose 2*v - x = -5*x + 12, -3*v - 4*x = -14. Factor 2 - v*m + m**2 - 2*m + 0*m + 2.
(m - 2)**2
Let l(m) be the second derivative of -3*m**7/7 + 8*m**6/5 - 11*m**5/5 + 4*m**4/3 - m**3/3 - 20*m. Find u, given that l(u) = 0.
0, 1/3, 1
Let g(f) = 9*f - 2 - 4*f**2 - 3*f + 0*f**2. Let n(x) = x**2 - x. Let b(i) = -g(i) - 3*n(i). Let b(c) = 0. What is c?
1, 2
Let h be (-1)/((9/33)/(-3)). Factor q**5 + q**4 + h - q**3 - q**2 + 0*q**2 - 11.
q**2*(q - 1)*(q + 1)**2
Let z(d) be the third derivative of d**8/1890 - d**7/420 + d**6/270 - d**5/540 - 2*d**3/3 + 4*d**2. Let y(u) be the first derivative of z(u). Factor y(f).
2*f*(f - 1)**2*(4*f - 1)/9
Let d = 7 + -5. Suppose 1 - 8*w - d*w**3 + 6*w + 4*w**3 - w**4 = 0. What is w?
-1, 1
Let o(n) = -n**4 - 11*n**3 - 9*n**2 + 31*n - 4. Let m(r) = 5*r**4 + 45*r**3 + 35*r**2 - 125*r + 15. Let z(p) = 6*m(p) + 25*o(p). Solve z(t) = 0.
-2, 1
Let i = 1 - 1. Suppose 0 = -0*n + 5*n. Solve -1/4*f**4 + i + n*f + 0*f**2 - 1/4*f**3 = 0 for f.
-1, 0
Let j(u) = -11*u**3 + 7*u**2 + 13*u - 5. Let f(y) = 6*y**3 - 3*y**2 - 6*y + 3. Let v(q) = 5*f(q) + 3*j(q). Solve v(z) = 0.
-1, 0, 3
Let i = 27019/6 - 4520. Let p = 17 + i. Factor -p*m**4 - 1/6*m**3 + 1/6*m**2 + 0*m + 0 + 1/6*m**5.
m**2*(m - 1)**2*(m + 1)/6
Let s(x) be the third derivative of -x**6/180 - x**5/30 - x**3/2 + 4*x**2. Let h(p) be the first derivative of s(p). Determine z, given that h(z) = 0.
-2, 0
Suppose 12 = 3*w - 2*o, -5*o - 14 = -2*w + 5. Let l(q) be the second derivative of -1/12*q**4 + 2*q + 0 + 0*q**3 + 1/2*q**w. Let l(m) = 0. Calculate m.
-1, 1
Suppose s = -5*a - 2*s + 20, s = -3*a + 12. Suppose -5*x = a*h - 26, -4*x + 2*h - 12 = -6*x. Factor 3/5*b + 1/5 + 1/5*b**3 + 3/5*b**x.
(b + 1)**3/5
Factor -7/3 - 1/3*n**2 + 8/3*n.
-(n - 7)*(n - 1)/3
Let t(g) be the first derivative of g**6/18 - g**4/12 - 6. Factor t(y).
y**3*(y - 1)*(y + 1)/3
Let v(u) be the first derivative of -u**6/45 + u**4/18 + u - 3. Let w(y) be the first derivative of v(y). Factor w(x).
-2*x**2*(x - 1)*(x + 1)/3
Let n(d) = -d**2 + 5*d - 2. Let h be n(4). Factor 0 + 0*l + 1/4*l**h + 0*l**3 - 1/4*l**4.
-l**2*(l - 1)*(l + 1)/4
Let a(x) be the first derivative of -x**6/120 - x**5/12 - x**4/3 - 2*x**3/3 + x**2 - 3. Let o(k) be the second derivative of a(k). Factor o(h).
-(h + 1)*(h + 2)**2
Let k(q) = -4*q**2 + 0 - 4*q + 5*q**2 - 2. Let c be k(5). What is t in 0*t**4 + 0*t**3 + t**c - t**4 = 0?
0, 1
Let d be (-4*1/(-2))/(4/4). Determine p so that -8/3*p - 98/3*p**4 + 16*p**d - 14*p**3 + 0 = 0.
-1, 0, 2/7
Factor -6/11*n**3 + 0 - 6/11*n**2 - 2/11*n - 2/11*n**4.
-2*n*(n + 1)**3/11
Let b(i) be the second derivative of 0 + 1/10*i**5 + 1/90*i**6 + 2/3*i**2 + 13/36*i**4 + 2/3*i**3 + i. Suppose b(w) = 0. What is w?
-2, -1
Let s(j) be the third derivative of -3*j**2 - 7/40*j**4 + 0*j + 0 - 1/5*j**3 - 1/20*j**5. Factor s(y).
-3*(y + 1)*(5*y + 2)/5
Let t be (-9)/2 + 3/6. Let b = t + 7. Factor -3*j - j**4 + j**2 + 0*j + j**b + 0*j + 2*j.
-j*(j - 1)**2*(j + 1)
Let u(h) = -h**3 - 7*h**2 - 7*h - 6. Let x be u(-6). What is f in 1/2*f**2 + f - 3/2*f**3 + x = 0?
-2/3, 0, 1
Let n = 2 - -1. Let i(d) be the second derivative of 0*d**2 - 1/35*d**5 - 1/42*d**4 + 2*d + 0*d**n + 0 - 1/105*d**6. Factor i(z).
-2*z**2*(z + 1)**2/7
Let g(h) = -h**4 + 10*h**3 + h**2 + 8*h - 6. Let p(v) = -v**3 - v**2 - v + 1. Let q(u) = -2*u - 7. Let m be q(-3). Let c(z) = m*g(z) - 6*p(z). Factor c(a).
a*(a - 2)*(a - 1)**2
Let i(v) be the second derivative of -v**4/30 + v**3/9 + 2*v**2/15 - 5*v. Factor i(m).
-2*(m - 2)*(3*m + 1)/15
Let b be (-12)/(-5) - 6/15. Find i such that -1 - i**3 + i + 3 + i**b - 3 = 0.
-1, 1
Let y(c) be the third derivative of c**7/840 - c**6/80 + c**5/20 - c**4/6 - c**2. Let w(g) be the second derivative of y(g). Factor w(u).
3*(u - 2)*(u - 1)
Let g(z) be the third derivative of -1/156*z**4 + 0 + 0*z**3 + 4*z**2 + 0*z + 1/390*z**5. Factor g(v).
2*v*(v - 1)/13
Factor 2*r + 4*r**2 + 10/7*r**3 - 4/7.
2*(r + 1)*(r + 2)*(5*r - 1)/7
Let f(n) = -10*n**3 + 22*n**2 + 14*n. Suppose -17 = -3*v + 4. Let s(y) = -10*y**3 + 23*y**2 + 15*y. Let a(k) = v*f(k) - 6*s(k). What is d in a(d) = 0?
-2/5, 0, 2
Factor 3/8*l**2 + 0 - 3/2*l.
3*l*(l - 4)/8
Let m(q) = q**2 - 2*q - 3. Let k be m(3). Let v = 61/5 + -539/45. Determine z, given that k - v*z**4 + 0*z - 2/9*z**2 - 4/9*z**3 = 0.
-1, 0
Let l = -98 - -98. Suppose l - c**2 - 2/3*c + 1/3*c**4 + 0*c**3 = 0. Calculate c.
-1, 0, 2
Suppose 5 = 3*q - 1. Let g(c) be the second derivative of 4*c - 2/3*c**3 - 1/10*c**5 + 0*c**q + 1/2*c**4 + 0. Suppose g(n) = 0. What is n?
0, 1, 2
Let y(f) = f**2 + 2*f + 1. Let r be y(-1). Suppose 4*c**2 - 3*c**2 + r*c**2 = 0. Calculate c.
0
Let u(b) = 3*b**3 - 21*b**2 + 9. Let p(o) be the third derivative of -o**6/120 + o**5/6 - 2*o**3/3 + 7*o**2. Let x(a) = -9*p(a) - 4*u(a). Solve x(v) = 0.
-2, 0
Let h be (-4)/2 - (-1 - 0 - 3). Factor 2/7*r**4 + 2/7 + 2/7*r + 2/7*r**5 - 4/7*r**3 - 4/7*r**h.
2*(r - 1)**2*(r + 1)**3/7
Suppose -15 = -2*c - 3*c. Suppose -4*i + 3*i - 12 = -c*r, 3*r - 21 = 4*i. Factor 5*g + 16*g**2 + 6*g**3 - 5*g**2 - 2*g**r - 2.
(g + 1)*(g + 2)*(4*g - 1)
Let i(b) be the third derivative of -2/45*b**5 - 1/315*b**7 - 6*b**2 + 0 + 0*b - 1/45*b**6 + 0*b**3 + 0*b**4. Suppose i(q) = 0. Calculate q.
-2, 0
Suppose -5*h = -10*h + 20. Solve 4 + 8*c**2 - 14*c + 2*c**5 + 5*c**2 - 4*c**h - 4*c**3 + 3*c**2 = 0 for c.
-2, 1
Let f(u) be the first derivative of 14*u**3/15 - 9*u**2/5 + 4*u/5 + 10. Factor f(y).
2*(y - 1)*(7*y - 2)/5
Let y(i) be the third derivative of i**5/24 + 11*i**4/24 + 2*i**3/3 - 25*i**2. Factor y(a).
(a + 4)*(5*a + 2)/2
Let s be (-62)/120 - (-3)/5. Let w(h) be the second derivative of -s*h**4 - 1/2*h**2 + h + 0 + 1/3*h**3. Factor w(c).
-(c - 1)**2
Let p(h) be the second derivative of -6*h**7/7 - 4*h**6/15 + 18*h**5/5 + 4*h**4/3 - 6*h**3 - 4*h**2 - 42*h. Suppose p(u) = 0. Calculate u.
-1, -2/9, 1
Let o(d) = -9000*d**3 - 2708*d**2 - 262*d - 17. Let s(g) = 6000*g**3 + 1805*g**2 