4/12 + 12*x**2. Factor l(i).
2*i*(2*i + 1)
Let z(i) = -3*i**3 - i**2 + 2*i - 1. Let l be z(1). Let x be 0/(-2) + l + 5. Determine c so that 8*c**2 - 2*c**3 - x*c**2 - 2*c - 4*c**3 + 2*c**4 = 0.
0, 1
What is i in 2/15*i**4 - 12/5 + 2/15*i**2 + 14/5*i - 2/3*i**3 = 0?
-2, 1, 3
Suppose 0 = -f + d + 3, -3*f - 3*d + 7 = -4*d. Let g be -2 + (-12)/(-11)*f. Factor -2/11 - 6/11*k - 4/11*k**2 + 4/11*k**3 + 6/11*k**4 + g*k**5.
2*(k - 1)*(k + 1)**4/11
Let h(w) be the first derivative of w**7/280 - w**6/40 + w**4/2 - w**3 + 7. Let r(y) be the third derivative of h(y). Suppose r(x) = 0. What is x?
-1, 2
Factor 0 + 3/4*d + 3/4*d**2.
3*d*(d + 1)/4
Let y(l) be the second derivative of -4*l + 25/18*l**4 + 16/9*l**3 + 19/30*l**5 + 0 + 1/63*l**7 + 4/3*l**2 + 7/45*l**6. Solve y(r) = 0.
-2, -1
Let v(d) be the second derivative of 0*d**3 + 3*d - 1/45*d**6 + 0*d**2 + 0*d**4 + 0 + 1/30*d**5. Factor v(q).
-2*q**3*(q - 1)/3
Suppose 20 = 4*c - 0. What is n in 16*n - 8*n**2 + 19*n**3 + 5*n**4 + 33*n**2 + 4 + n**c + 2*n**4 = 0?
-2, -1
Let k(l) = -2*l**4 + 8*l**2 - 4*l. Let u(g) = 0*g + 13*g**2 + g**3 - 14*g**2 + g. Let w(j) = k(j) - 2*u(j). Suppose w(b) = 0. What is b?
-3, 0, 1
Let d = 148 + -146. Find v, given that -d*v + 14/5*v**2 - 4/5 = 0.
-2/7, 1
Let k be 72*1*12/16. Let r be (2 + 1)*4/k. What is x in 0 - r*x**3 + 4/9*x**2 - 2/9*x = 0?
0, 1
Let i(m) be the first derivative of -m**4/6 - 8*m**3/9 + 5*m**2/3 - 62. Determine q so that i(q) = 0.
-5, 0, 1
Let a = -16 - -23. Suppose 5*l + 4*q - 25 + 3 = 0, l - 3*q = -a. Determine h, given that 3*h**2 + 5 - 5 + l*h + h**3 = 0.
-2, -1, 0
Suppose -w - 4*p - 10 - 10 = 0, p - 3 = 0. Let k be 0 + w/18 + 2. Factor -2/9 + k*z + 4/9*z**2.
2*(z + 1)*(2*z - 1)/9
Suppose -948*f + 988*f - 17 - 15*f**2 + 5*f**4 - 2*f**3 - 8*f**3 - 3 = 0. Calculate f.
-2, 1, 2
Let z = -10 + 10. Let u(l) be the first derivative of -1 + z*l**2 + 1/2*l - 1/6*l**3. Determine a so that u(a) = 0.
-1, 1
Let s(v) = -6*v**2 + 6*v + 2. Let b(c) = -c. Suppose 10 = -5*l - p, -8 = -2*l - 0*p + 2*p. Let r(j) = l*s(j) - 2*b(j). Factor r(m).
2*(m - 1)*(3*m + 1)
Suppose -m = -2*m + 6. Determine z so that m*z**3 - z**2 - 6*z - 2*z**5 + 2*z + 2*z**4 - z**2 + 0*z**3 = 0.
-1, 0, 1, 2
Let i(j) be the first derivative of j**3/3 - j**2 - 3*j - 2. Find t such that i(t) = 0.
-1, 3
Let y = 3 + -2. Let x = -1 + y. Factor -1/5*h**2 + 1/5 + x*h.
-(h - 1)*(h + 1)/5
Let v(p) = p**3. Let u(i) = 12*i**3 - 6*i**2 + 3*i + 6. Let a(m) = u(m) - 15*v(m). What is d in a(d) = 0?
-2, -1, 1
Let z = 211/6 - 36. Let b = z + 7/6. Find u, given that -1/3*u - 1/3*u**2 + b*u**3 + 0 + 1/3*u**4 = 0.
-1, 0, 1
Let d = 13 + -7. Determine h so that -d + 0*h**2 + 7*h**2 - 3*h + 0*h**2 - 4*h**2 = 0.
-1, 2
Let y(s) be the third derivative of s**8/336 - s**7/70 + s**6/60 + 6*s**2. Factor y(i).
i**3*(i - 2)*(i - 1)
Let t(d) = -d + 4. Let a be t(0). Let w be 2/4 - (-6)/a. Suppose 0 + 2/3*o**w + 0*o = 0. Calculate o.
0
Suppose 152/9*k - 686/9*k**4 + 98/9*k**3 + 16/9 + 140/3*k**2 = 0. Calculate k.
-2/7, 1
Let h = -67 + 71. Let z(j) be the first derivative of -1/18*j**3 - 1/6*j + 1/6*j**2 - h. Solve z(r) = 0.
1
Let g(f) be the first derivative of 2/35*f**5 + 5/7*f**2 - 4/7*f + 3 - 1/14*f**4 - 2/7*f**3. Let g(m) = 0. What is m?
-2, 1
Let p = 648 - 7104/11. Suppose 8/11 - 26/11*f**2 + p*f - 42/11*f**3 = 0. Calculate f.
-1, -2/7, 2/3
Let l be (-19274)/(-8073) - (-8)/108. Solve -16/13*j + l + 2/13*j**2 = 0.
4
Let i(v) be the third derivative of 3*v**2 + 0*v + 0 + 1/540*v**6 - 1/90*v**5 + 1/3*v**3 + 0*v**4. Let l(j) be the first derivative of i(j). Factor l(a).
2*a*(a - 2)/3
Let m be 0 - (0/(-9))/(3 + -1). Find j, given that -1/7*j + 1/7*j**2 + m = 0.
0, 1
Let o(p) be the third derivative of 2*p**5/15 - p**4/12 - p**3 + 11*p**2. Suppose o(h) = 0. What is h?
-3/4, 1
Let z(j) = 2*j**2 + 7*j - 2. Let f(s) = -s**2 - 3*s + 1. Let h(m) = 7*f(m) + 3*z(m). Factor h(i).
-(i - 1)*(i + 1)
Suppose -4*w + 8 = -0. Suppose 0 = -5*i - 5, -2*l - w*i = -4*i - 6. Suppose -5/7*v**4 + 0*v**l + 0*v - 4/7*v**5 + 0 - 1/7*v**3 = 0. Calculate v.
-1, -1/4, 0
Let k(o) be the first derivative of -o**6/9 - 2*o**5/15 + o**4/6 + 2*o**3/9 - 2. Factor k(i).
-2*i**2*(i - 1)*(i + 1)**2/3
Let c = 268/35 + -9869/105. Let h = c - -87. Factor h*k**2 - 2/3*k - 2/3 + 2/3*k**3.
2*(k - 1)*(k + 1)**2/3
Let m(g) be the third derivative of g**6/120 - g**5/20 + g**4/12 + 4*g**2. Factor m(o).
o*(o - 2)*(o - 1)
Factor 15*p - 40*p + 21*p - 5 + p**2.
(p - 5)*(p + 1)
Suppose 4*i - z = 5*i - 2, -8 = 4*z. Factor -9*g + 2 + 4*g**2 - i*g**2 + 4*g**2.
(g - 2)*(4*g - 1)
Factor 3*v**2 + 6 + 0 - 3*v**2 + 3*v**2 + 9*v.
3*(v + 1)*(v + 2)
What is u in 1/4*u**3 + 0 + 0*u - 1/4*u**5 - 1/4*u**4 + 1/4*u**2 = 0?
-1, 0, 1
Suppose 5*m + 44 = -f, 39 = -f - 5*m + m. Let b = -16 - f. Factor 2/3*d**4 + 0*d + 2/3*d**2 - 4/3*d**b + 0.
2*d**2*(d - 1)**2/3
Let g(d) = -7*d**4 - 6*d**3 + d**2 + 5*d + 5. Let b(j) = -6*j**4 - 6*j**3 + 4*j + 4. Let u(r) = -5*b(r) + 4*g(r). Factor u(a).
2*a**2*(a + 1)*(a + 2)
Let c be 6 + 88/32 - 8. Let c*o**2 + 5/2*o + 3/4 = 0. Calculate o.
-3, -1/3
Factor 2/15*o**3 - 4/15*o**2 - 8/15 - 14/15*o.
2*(o - 4)*(o + 1)**2/15
Let m(q) be the second derivative of 128*q**6/75 + 16*q**5/5 + 4*q**4/5 - 2*q**3/3 - 2*q**2/5 + 11*q. Solve m(a) = 0 for a.
-1, -1/4, 1/4
Suppose -26*j + 30*j - 28*j - 72 - 2*j**2 = 0. What is j?
-6
Let -1 + 1/2*h**2 + 7/6*h = 0. What is h?
-3, 2/3
Let z(r) be the first derivative of 1/140*r**7 - r**2 + 1 + 0*r + 0*r**4 + 1/80*r**6 + 0*r**3 + 0*r**5. Let o(u) be the second derivative of z(u). Factor o(h).
3*h**3*(h + 1)/2
Let j = -230513/2394 - -5/2394. Let n = -96 - j. Solve n*w**2 + 0 + 2/7*w = 0.
-1, 0
Let p(f) be the first derivative of 6 - 2/9*f**4 + 0*f - 2/27*f**6 + 0*f**2 - 2/27*f**3 - 2/9*f**5. What is k in p(k) = 0?
-1, -1/2, 0
Let a(b) be the first derivative of -b**3/9 - b**2/6 + 2*b/3 + 24. Factor a(f).
-(f - 1)*(f + 2)/3
Let l be (1 - 0)*(-23 - -26). Let -u**4 + u**2 + 0*u**l - 1/2*u**5 + 1/2*u + 0 = 0. Calculate u.
-1, 0, 1
Let i(f) be the third derivative of f**5/30 + f**4/24 - f**3/6 - 2*f**2. Let m be i(-3). Suppose m*y**3 - 8*y - 8/3 + 26/3*y**2 = 0. What is y?
-1, -2/7, 2/3
Suppose -5*w = -19 - 11. Let n(u) be the second derivative of -1/12*u**3 - 1/8*u**2 + 2*u + 0 + 1/40*u**5 + 1/120*u**w + 0*u**4. Factor n(o).
(o - 1)*(o + 1)**3/4
Let l(p) be the second derivative of 0 + 0*p**2 + 3/10*p**5 + 0*p**3 - 1/4*p**4 + 6*p. Find a such that l(a) = 0.
0, 1/2
Let s(g) = 7*g**2 - 5*g + 4. Suppose 0 = -2*f - 2*f + 8. Let u(w) = 2*w**f - 4*w + 4*w**2 + 1 + 2. Let d(p) = -5*s(p) + 6*u(p). Suppose d(n) = 0. What is n?
-2, 1
Suppose 11*k = 8*k + 12. Find v, given that 0 - 2/7*v**2 + 2/7*v**k + 2/7*v - 2/7*v**3 = 0.
-1, 0, 1
Solve -11*y**4 - 5*y**5 - 40*y**2 + y**4 - 25*y**4 - 70*y**3 = 0.
-4, -2, -1, 0
Let y be 2/1 + 0 + 36/(-21). What is q in -2/7*q**3 + 2/7 + 2/7*q - y*q**2 = 0?
-1, 1
Let q(j) = -7*j**3 + 2*j**2 - j. Let a be q(1). Let s = a + 6. Find c, given that s*c - 1/2 + 1/2*c**2 = 0.
-1, 1
Factor 1 + 2 + 21*n + 24*n**2 + 0 - 3*n.
3*(2*n + 1)*(4*n + 1)
Factor 3/2*t - 1/2 + 1/2*t**2 - 3/2*t**3.
-(t - 1)*(t + 1)*(3*t - 1)/2
Let j be (-393)/(-4)*1/(-3). Let b = 33 + j. Determine k, given that 1/2*k - 1/4*k**2 - b = 0.
1
Let o(f) be the first derivative of -49*f**4/10 + 14*f**3 - 72*f**2/5 + 32*f/5 + 27. Find v such that o(v) = 0.
4/7, 1
Let w(s) = s**2 - 12*s + 6. Let u be w(12). Suppose 0*q = 3*q - u. Suppose 1/3*p**3 - p**q - 1/3 + p = 0. What is p?
1
Solve -6*x**3 + x - 3*x**4 + 11*x - 6*x + 3*x**2 = 0 for x.
-2, -1, 0, 1
Let z(t) be the second derivative of 1/12*t**3 + 0 + 6*t + 0*t**4 + 1/8*t**2 - 1/40*t**5 - 1/120*t**6. Suppose z(q) = 0. Calculate q.
-1, 1
Let n(d) be the second derivative of d**4/14 + d**3/21 + 3*d. Suppose n(y) = 0. What is y?
-1/3, 0
Let c(j) = -5*j**5 + j**4 + 2*j**3 - j**2 + 3*j + 7. Let o(i) = -4*i**5 + 2*i**3 + 2*i + 6. Let t(x) = -6*c(x) + 7*o(x). Find p such that t(p) = 0.
-1, 0, 1, 2
Suppose 54 - 13 - 25 + 24*j**2 + 2*j**3 + 36*j + 2*j**3 = 0. What is j?
-4, -1
Let j = 1/115 - -137/115. Determine x so that -3/5*x**3 + 0 - 3/5*x - j*x**2 = 0.
-1, 0
Let q(j) be the first derivative of j**5/10 - j**3/6 + 12. Factor q(h).
h**2*(h - 1)*(h + 1)/2
Let f(d) be the second derivative of 3*d - 1/20*d**6 + 0 + 0*d**3 - 1/