?
-1, 2
Let i be 285/38*-3*3/(-45). Determine r so that 0 - i*r**3 + 3/2*r**2 + 0*r = 0.
0, 1
Let a(m) be the second derivative of m**7/980 - m**6/630 - m**5/420 + m**3/2 + 2*m. Let p(b) be the second derivative of a(b). Factor p(o).
2*o*(o - 1)*(3*o + 1)/7
Let c(v) = -v**4 - 4*v**3 + v**2 - 4. Let a(t) = -4*t**4 - 11*t**3 + 4*t**2 - 11. Let l(m) = 4*a(m) - 11*c(m). What is n in l(n) = 0?
-1, 0, 1
Let m = -415/6 + 2081/30. Factor m*p**4 - 1/5*p**2 + 1/5*p - 1/5*p**3 + 0.
p*(p - 1)**2*(p + 1)/5
Let n(f) be the first derivative of -2*f**3 - f**2/2 + 7. Factor n(s).
-s*(6*s + 1)
Find n such that 3/4*n**2 + 0*n + 0 - 3/4*n**4 + 0*n**3 = 0.
-1, 0, 1
Let y(h) be the third derivative of h**8/84 + 6*h**7/35 + h**6 + 46*h**5/15 + 11*h**4/2 + 6*h**3 + 13*h**2. Factor y(g).
4*(g + 1)**3*(g + 3)**2
Determine v so that 1/3*v**4 + 0 + 2/3*v + 5/3*v**2 + 4/3*v**3 = 0.
-2, -1, 0
Suppose 0 = 4*a - 9 - 15. Factor 3*i**3 + a*i**2 - 5*i**3 + 0*i - 4*i.
-2*i*(i - 2)*(i - 1)
Suppose 0*m + 3/5*m**5 - 6/5*m**4 + 0 + 3/5*m**3 + 0*m**2 = 0. What is m?
0, 1
Let z(a) = a**2 - 3*a - 5. Let y be z(5). Suppose 21 = 3*i + 4*f, -y*f + 14 = -i + 2. Factor -w**3 + 4 - w**3 + 3*w**i - 3*w**2.
(w - 2)**2*(w + 1)
Factor 3*s - 6*s**2 + 2*s + s + 3*s**2.
-3*s*(s - 2)
Let a(s) = -s**4 + s**3 - s**2 - 1. Let h(z) = 2*z**4 - 10*z**3 + 10*z**2 - 4*z - 2. Let g(y) = 2*a(y) - h(y). Solve g(n) = 0.
0, 1
Let m(s) be the second derivative of s**4/20 + s**3/5 - 9*s**2/10 + s. Factor m(y).
3*(y - 1)*(y + 3)/5
Let l be 38/(-209) + (-238)/22. Let p = l - -13. Find b such that 0 - 14/3*b**2 - 4/3*b**3 + p*b**4 - 4/3*b = 0.
-1, -1/3, 0, 2
Let r(g) be the third derivative of -g**8/33600 - g**4/12 - 3*g**2. Let h(o) be the second derivative of r(o). Determine w, given that h(w) = 0.
0
Let c(f) = 2*f**2 - f + 1. Let t be c(1). Find u, given that -2*u + 6*u + t*u**2 - 8*u = 0.
0, 2
Let v be (-2 - -4)/(1/2). Let k(d) be the second derivative of -d + 0 - 1/18*d**v + 1/3*d**2 + 0*d**3. Determine w, given that k(w) = 0.
-1, 1
Let a be (2/4)/(1/(-6)). Let l be -1 - a - (0 - -2). Factor l + 2/7*g**2 + 0*g.
2*g**2/7
Let o(u) = u**3 - u**2 - u + 1. Let c(f) = 15*f**3 - 9*f**2 - 18*f + 12. Let s(n) = c(n) - 12*o(n). Solve s(x) = 0.
-2, 0, 1
Suppose 27 = -2*q - q. Let w be (-2)/(-12) + q/(-108). Factor 0 - 1/4*r + 1/4*r**4 - w*r**2 + 1/4*r**3.
r*(r - 1)*(r + 1)**2/4
Let c(o) be the third derivative of -o**6/20 - o**5/120 + o**4/8 + 6*o**2. Solve c(z) = 0 for z.
-3/4, 0, 2/3
Let -k**2 - k**3 + k**5 - 16 + 16 + k**4 = 0. What is k?
-1, 0, 1
Let y(p) be the second derivative of -p**6/900 - p**5/150 + 5*p**3/6 + 3*p. Let x(v) be the second derivative of y(v). Factor x(z).
-2*z*(z + 2)/5
Determine g, given that 2/3*g**2 - 8/3*g + 8/3 = 0.
2
What is n in -4*n**2 - n**2 + 5 + n**2 - n**2 = 0?
-1, 1
Let x = -10 - -4. Let m be ((-1)/(-9))/((-1)/x). Factor 2/3*f**2 + 0*f + m*f**4 + 4/3*f**3 + 0.
2*f**2*(f + 1)**2/3
Let k(r) = r**5 + 9*r**4 - 9*r**3 - 8*r**2 + 5. Let h(t) = -t**4 + t**3 - t - 1. Let g(d) = -14*h(d) - 2*k(d). Determine j, given that g(j) = 0.
-1, 2
Determine z, given that 8*z**3 - 6*z**4 + 4 - 251*z + 4*z**5 - 6*z**4 + 239*z + 8*z**2 = 0.
-1, 1
Factor 6*g**2 + 10/3*g**3 + 8/15 + 16/5*g.
2*(g + 1)*(5*g + 2)**2/15
Let d = 135/4 + -33. Suppose d*q**2 + 5/4*q + 1/2 = 0. What is q?
-1, -2/3
What is r in r - 13/4*r**2 + 1 + 5/4*r**3 = 0?
-2/5, 1, 2
Let y(i) be the second derivative of i**4/36 + 5*i**3/18 - i**2 + 44*i. Factor y(c).
(c - 1)*(c + 6)/3
Suppose -c = -2*m, m = 2*c - m - 6. Let n(z) = -z**3 + 5*z**2 + 7*z - 6. Let y be n(c). Find j such that j + 4*j**3 - 3*j**3 - 2*j**2 + y*j**3 = 0.
0, 1
Let s be (1 - 5 - -4)/(-2). Let j(w) be the second derivative of 1/6*w**4 + s*w**2 + 1/5*w**5 + 2*w + 0 + 1/15*w**6 + 0*w**3. Factor j(i).
2*i**2*(i + 1)**2
Suppose -3*s + 5*l + 31 = 0, s - l - 11 = -2*s. Let n(j) = j**3 + 9*j**2 + 9*j + 8. Let i be n(-8). Factor 2/3 + i*o - 2/3*o**s.
-2*(o - 1)*(o + 1)/3
Let q(b) be the first derivative of -b**3/12 + b**2 - 4*b - 4. Determine t so that q(t) = 0.
4
Suppose -2*z + 14 = z - c, -2*z + 3*c = -21. Let i = 1 + z. What is f in -f**3 + 20*f**2 + i*f + 0*f**3 - 8*f**2 + 6*f**3 = 0?
-2, -2/5, 0
Let a(q) be the third derivative of q**8/672 + q**7/420 - q**6/240 - q**5/120 + 5*q**2. Factor a(f).
f**2*(f - 1)*(f + 1)**2/2
Let f = 6 - 2. Let j(d) be the second derivative of -1/6*d**2 - 2*d - 1/36*d**f + 1/9*d**3 + 0. Solve j(l) = 0.
1
Let d(x) = -x**2 + 19. Let y be d(0). Suppose -3*n = -5*m - y, 4*m + 12 = n + 1. Suppose 3*t**2 + t**n - 4*t**3 - 3 + 0*t**2 + 3*t = 0. What is t?
-1, 1
Find a, given that -2/5*a**2 + 4*a - 10 = 0.
5
Let n(f) be the third derivative of -f**5/150 - f**4/15 - f**3/5 - 2*f**2. Factor n(b).
-2*(b + 1)*(b + 3)/5
Let v(a) be the third derivative of a**8/50400 - a**7/12600 - a**5/60 + 2*a**2. Let k(w) be the third derivative of v(w). Factor k(p).
2*p*(p - 1)/5
Let p be (25/(-10))/((-2)/4). Factor 0 + 6*i**p + 4*i + 0 - 2*i**5 - 8*i**3.
4*i*(i - 1)**2*(i + 1)**2
Determine p so that 39/5*p**2 - 73/5*p**3 - 2/5 + 1/5*p + 7*p**4 = 0.
-1/5, 2/7, 1
Let z be -14 + (-540)/(-48) - 1*-3. Factor 0 + 1/2*i**2 + z*i**5 + 0*i**3 - 1/2*i**4 - 1/4*i.
i*(i - 1)**3*(i + 1)/4
Let z(i) be the first derivative of 2*i**3 + 7*i**2/2 - 5*i - 3. Let j(w) = -5*w**2 - 6*w + 4. Let l(t) = -5*j(t) - 4*z(t). Determine u, given that l(u) = 0.
-2, 0
Find n such that 6*n - 3*n**2 - 2*n**4 + 4*n**2 - n**2 + 2*n**2 - 6*n**3 = 0.
-3, -1, 0, 1
Solve -4/7*b + 0 - 4/7*b**3 - 8/7*b**2 = 0 for b.
-1, 0
Suppose -3*o = -4*u + 41, -2*o = -4*u + 3*o + 47. Let k = u - 6. Determine v, given that -2/9*v**k + 0 + 2/9*v = 0.
0, 1
What is b in -2/9*b**5 + 2/9*b**3 - 14/9*b**2 + 2/3*b**4 + 0*b + 8/9 = 0?
-1, 1, 2
Factor -6/7 - 2*m - 2/7*m**3 - 10/7*m**2.
-2*(m + 1)**2*(m + 3)/7
Let m = -74 + 74. Factor -3/4*b + m + 3/4*b**2.
3*b*(b - 1)/4
Let z = 4/49 + 233/147. Factor 0 + 0*p - z*p**3 + 2/3*p**2 + p**4.
p**2*(p - 1)*(3*p - 2)/3
Find f, given that -1/8*f**4 - 5/8*f**3 - 7/8*f - 9/8*f**2 - 1/4 = 0.
-2, -1
Let u(d) be the second derivative of d**4/3 + 10*d**3/3 + 8*d**2 + 12*d. Let u(o) = 0. What is o?
-4, -1
Let c(a) = 11*a - 66. Let f be c(6). Let 0*q**4 + q**3 - 1/2*q**5 + 0*q**2 + f - 1/2*q = 0. What is q?
-1, 0, 1
Factor -1 + 1/4*b**3 - 1/4*b + b**2.
(b - 1)*(b + 1)*(b + 4)/4
Let u = 505/6 - 84. Let j(d) be the first derivative of -u*d**4 - 2/9*d**3 + 2/3*d + 1/3*d**2 - 1. Factor j(g).
-2*(g - 1)*(g + 1)**2/3
Let a(g) = 6*g**2 - 5. Let r(u) = 7*u**2 - u - 5. Let b(m) = 3*a(m) - 2*r(m). Let p(w) = 3*w**2 + 2*w - 4. Let o(h) = -4*b(h) + 5*p(h). Factor o(i).
-i*(i - 2)
Let l be (-9)/5*72/(-108). Suppose l + 9/5*w**2 - 21/5*w = 0. Calculate w.
1/3, 2
Let o(a) = a**2 - a - 4. Let j be o(3). Let -i**2 + 8*i - 6*i + 3*i**j = 0. Calculate i.
-1, 0
Find q such that -1/2 + 3/4*q - 1/4*q**2 = 0.
1, 2
Let x be 12/(-27)*114/(-76). Determine f, given that 1/3*f + x - 1/3*f**2 = 0.
-1, 2
Solve 4 - 3*o**2 - 239*o + 206*o + 32 = 0 for o.
-12, 1
Suppose -v + 2*v = 0. Let y(i) be the second derivative of 1/10*i**6 - i - 1/20*i**5 - i**2 - 3/4*i**4 + 3/2*i**3 + v. Factor y(z).
(z - 1)**2*(z + 2)*(3*z - 1)
Let r(q) be the first derivative of 3*q**5/35 + 3*q**4/28 - 2*q**3/7 + 11. Factor r(k).
3*k**2*(k - 1)*(k + 2)/7
Factor -69*i**2 + 37*i**2 + 30*i**2 - 4*i.
-2*i*(i + 2)
Let s(c) be the second derivative of c**7/210 + c**6/24 + 3*c**5/20 + 7*c**4/24 + c**3/3 - c**2 + 2*c. Let v(t) be the first derivative of s(t). Factor v(m).
(m + 1)**3*(m + 2)
Factor 2 - 4*b**4 - 2 - 32*b - 77*b**3 - 48*b**2 + 53*b**3.
-4*b*(b + 2)**3
Factor 0*v - v**2 + 30 + 15*v + 6*v**2 + 10*v.
5*(v + 2)*(v + 3)
Let q(g) = -g**3 + 6. Let l be q(0). Suppose k = 4*n - 10, n = k + k + l. Factor 2/3*b - 2/3*b**n + 0.
-2*b*(b - 1)/3
Let m = -30 + 34. Let a(g) be the first derivative of -2 + 2/5*g**5 + 0*g**2 + g**m + 2/3*g**3 + 0*g. Factor a(i).
2*i**2*(i + 1)**2
Let m(a) be the second derivative of 3*a**5/20 + 3*a**4 + 18*a**3 + 7*a. Find n such that m(n) = 0.
-6, 0
Let a(u) be the second derivative of -u**5/10 - u**4/2 - u**3 - u**2 - 3*u. Factor a(l).
-2*(l + 1)**3
Let -6 + 3/2*p**2 - 9/2*p = 0. What is p?
-1, 4
Let 1/8*z**4 + 0 + 1/4*z**3 + 1/8*z**2 + 0*z = 0. What is z?
-1, 0
Let s(g) be the first derivative of 0*g + 1/5*g**3 + 4 - 3/20*g**4 + 0*g**