 given that 9*t**3 + x*t + 12*t - 24*t**2 + 7*t - 6 = 0.
2/3, 1
Factor 4*k**2 - 4*k - 6*k**2 - 4 + 2 + 0*k.
-2*(k + 1)**2
Let z(p) be the third derivative of -1/120*p**6 + 2*p**2 + 0 + 1/672*p**8 + 1/48*p**4 + 1/12*p**3 + 1/420*p**7 - 1/60*p**5 + 0*p. Let z(j) = 0. What is j?
-1, 1
Suppose r + 2*a = -27, 60 = -4*r + r + a. Let w be (-22)/r + 28/98. Factor 2/3*m**3 + 0 - w*m**2 + 2/3*m.
2*m*(m - 1)**2/3
Let q(m) be the second derivative of m**5/210 - m**4/84 - 2*m**3/21 - m**2 + 2*m. Let p(z) be the first derivative of q(z). What is g in p(g) = 0?
-1, 2
Suppose 0 + 3/5*d**3 + 1/5*d**4 + 3/5*d**2 + 1/5*d = 0. Calculate d.
-1, 0
Let f = 1 + 1. Factor -3*l**3 + 4*l**3 - l**2 + l**2 - f*l**2.
l**2*(l - 2)
Let x(o) be the first derivative of -2*o**7/525 - o**6/50 - o**5/25 - o**4/30 - 5*o**2 + 2. Let a(n) be the second derivative of x(n). Solve a(m) = 0.
-1, 0
Factor 35/4*d**3 - 50*d**2 + 45/2 + 255/4*d.
5*(d - 3)**2*(7*d + 2)/4
Suppose -3*m + 16 = m. Let r(c) = -c**3 + 7*c**2 - c + 9. Let n be r(7). Factor 4 - 4*k**3 - m + 3*k + k + 2*k**2 - n*k**4.
-2*k*(k - 1)*(k + 1)*(k + 2)
Let q(f) = -3*f**4 - 9*f**3 - 9*f**2 - 6*f - 3. Let o(w) = 3*w**4 + 9*w**3 + 9*w**2 + 5*w + 2. Let m(d) = 3*o(d) + 2*q(d). Factor m(s).
3*s*(s + 1)**3
Let w(d) be the second derivative of 0 + 3/80*d**5 - 7/48*d**4 - 1/8*d**3 + 1/4*d**2 + 3*d + 1/24*d**6. Factor w(j).
(j - 1)*(j + 1)**2*(5*j - 2)/4
Let o be (-28)/12*(-9)/(63/2). Let 0 + o*m**2 - 2/3*m = 0. What is m?
0, 1
Let d(s) be the third derivative of 1/18*s**4 + 0*s - 1/315*s**7 + 0*s**5 + 1/9*s**3 - 1/90*s**6 - s**2 + 0. Suppose d(a) = 0. What is a?
-1, 1
Determine i, given that 5*i + i + 2*i**2 - 5*i - 3*i = 0.
0, 1
Suppose -n - 2*n - 7 = 2*c, 2*c + 25 = 3*n. Let x = 8 + c. Find o, given that -2/3*o + 4/3*o**2 - 2/3*o**3 + x = 0.
0, 1
Suppose 2 = 2*m - 4. Suppose 0 = -3*i + 15 - m. Factor 0 + 0*w + 2/3*w**2 + 2*w**i - 2/3*w**5 - 2*w**3.
-2*w**2*(w - 1)**3/3
Let p(o) be the second derivative of 2*o - 1/48*o**4 - 1/4*o**2 + 0 - 1/8*o**3. What is d in p(d) = 0?
-2, -1
Let d(b) = -b**4 - 10*b**3 + 4*b - 4. Let i(f) = -3*f**4 - 21*f**3 + 9*f - 9. Let n(z) = 9*d(z) - 4*i(z). Find t, given that n(t) = 0.
0, 2
Let b = 7 - 3. Let -2*k**3 - k**3 + b*k**3 - 3*k**3 + k**4 = 0. Calculate k.
0, 2
Let n(y) = 2*y**2. Let j be n(1). Determine x, given that 10*x**2 + x + x**4 - 7*x**j + 0*x**3 + 3*x**3 = 0.
-1, 0
Determine g, given that -4/11*g - 2/11*g**2 + 6/11 = 0.
-3, 1
Let b = 253 - 250. Find p, given that 1/4*p**4 + 0*p**b + 0*p**2 + 0*p - p**5 + 0 = 0.
0, 1/4
Let w = 223/292 - 1/73. Let y(u) be the first derivative of 2 - 7/2*u**2 - 8/3*u**3 - 2*u - w*u**4. Let y(d) = 0. Calculate d.
-1, -2/3
Let x(i) be the third derivative of 0*i**3 + 0 + i**2 + 1/105*i**7 + 0*i - 1/10*i**5 + 1/6*i**4 + 0*i**6. Factor x(s).
2*s*(s - 1)**2*(s + 2)
Find d such that 8/15*d**2 + 2/15*d**3 + 2/5*d + 0 = 0.
-3, -1, 0
Let v(k) be the second derivative of -5*k**7/42 + k**6/3 - k**5/4 + 8*k. Factor v(q).
-5*q**3*(q - 1)**2
Suppose 0 = -2*c - c + 5*q + 34, 4*c - 22 = 2*q. Let s(f) be the third derivative of 1/90*f**5 + 4/9*f**c + 2*f**2 - 1/9*f**4 + 0*f + 0. Factor s(b).
2*(b - 2)**2/3
Factor 4*v**2 + 12*v**3 - 17*v**2 + 5*v**2 - 4*v**4.
-4*v**2*(v - 2)*(v - 1)
Let q(j) = -4*j**2 - 8*j. Let z(o) = -9*o**2 - 16*o. Let r(p) = -5*q(p) + 2*z(p). Factor r(d).
2*d*(d + 4)
Suppose 5 = -3*a - x, 4*a - 1 = a + 2*x. Let g = 2 - a. Factor 4*j**2 - j**5 + 0*j**5 - j**4 - 3*j**2 + j**g.
-j**2*(j - 1)*(j + 1)**2
Let h = 17/1914 - -3/58. Let v(a) be the first derivative of -1 + 1/11*a**2 + h*a**3 - 1/11*a**4 + 0*a. Let v(p) = 0. What is p?
-1/2, 0, 1
Let p(z) be the third derivative of -z**6/120 - z**5/60 - z**4/24 - z**3/6 - 2*z**2. Let x(q) = 5*q**3 - q**2 + 5*q + 3. Let a(h) = 3*p(h) + x(h). Factor a(m).
2*m*(m - 1)**2
Let t(j) be the first derivative of j**8/1176 + j**7/735 - j**6/420 - j**5/210 - 3*j**2 + 3. Let w(n) be the second derivative of t(n). Factor w(l).
2*l**2*(l - 1)*(l + 1)**2/7
Let f(p) be the first derivative of 2/7*p**3 + 3/7*p + 1/14*p**6 + 3/14*p**4 - 9/35*p**5 - 7 - 9/14*p**2. Factor f(m).
3*(m - 1)**4*(m + 1)/7
Suppose t + 2*w + 8 = 3*t, -4*t + 18 = -5*w. Suppose -4 = -b - 0, 0 = 2*q - t*b + 4. Factor -3 + 5 - 4*y**2 + y**5 - 2*y**5 - 2*y + q*y**4 + 2*y**3 + y.
-(y - 2)*(y - 1)**2*(y + 1)**2
Solve 20*u**3 - 15*u**2 + 14*u**4 - 8*u**4 - 11*u**4 = 0.
0, 1, 3
Suppose 3*i = -3, -4*y + 11 = -0*y + i. Let n be 32/18 - (-6)/27. Suppose -2*d**3 + 1 - y + 4*d - n*d + 2*d**2 = 0. What is d?
-1, 1
Let o be 509/(-13) - (-2)/13. Let x = -36 - o. Factor 1/2 - 5/4*s**x + 3*s**2 - 9/4*s.
-(s - 1)**2*(5*s - 2)/4
Let b(a) = 8*a**4 + 25*a**3 + 30*a**2 - 23*a - 40. Let r(u) = -15*u**4 - 50*u**3 - 60*u**2 + 45*u + 80. Let g(h) = 5*b(h) + 3*r(h). Suppose g(y) = 0. What is y?
-2, 1
Let x(h) = -3*h**5 + 3*h**4 + 6*h**3 - 6*h**2 - 8*h + 8. Let o(u) = -u + 1. Let i(t) = 5*o(t) - x(t). Let i(g) = 0. What is g?
-1, 1
Factor -2/7*q**2 + 0 + 4/7*q.
-2*q*(q - 2)/7
Suppose 0 = -3*f - 2*w - 8 - 2, -5*f = 5*w + 25. Find b such that f + 0*b + 1/2*b**2 = 0.
0
What is c in 0 + 2/9*c**3 + 2/9*c**5 - 4/9*c**4 + 0*c + 0*c**2 = 0?
0, 1
Factor s**2 + s**2 - 6*s - 4 + 6 + 2.
2*(s - 2)*(s - 1)
Factor 0*a + 3/7*a**4 + 3/7*a**3 + 0 - 6/7*a**2.
3*a**2*(a - 1)*(a + 2)/7
Suppose -4*i + 2*c + 58 + 22 = 0, -5*i = -3*c - 102. Suppose 5*g - 2*g - i = 0. Solve -2 + 0*z**3 + 0*z**3 + 8*z**2 + z**3 - 4*z - g*z**4 + 3*z**3 = 0.
-1, -1/3, 1
Let w(b) be the first derivative of 3*b**5 - 51*b**4/4 + 16*b**3 - 6*b**2 + 4. Factor w(m).
3*m*(m - 2)*(m - 1)*(5*m - 2)
Let c = 10 + -10. Suppose -2*d - 1 + 5 = c. Factor 5*q**2 + 2*q + 1 + 1 - 7*q**d - 2*q**3.
-2*(q - 1)*(q + 1)**2
Let l be (-5)/15 + -2*26/(-120). Let v(a) be the second derivative of 2/5*a**6 + 16/3*a**3 + 0 - l*a**5 - 17/6*a**4 - 4*a**2 + a. What is t in v(t) = 0?
-2, 1/2, 2/3, 1
Let k(y) be the first derivative of -1/11*y**2 + 0*y - 1 + 6/55*y**5 - 7/22*y**4 + 10/33*y**3. Suppose k(s) = 0. What is s?
0, 1/3, 1
Let j(q) be the first derivative of 7*q**4/66 - 5*q**3/33 - 2*q**2/11 - 2*q + 2. Let p(m) be the first derivative of j(m). Solve p(x) = 0 for x.
-2/7, 1
What is w in 1 + 4*w**2 + 24*w**3 - 96*w + 25 + 38 + 4*w**4 = 0?
-4, 1
Determine a, given that -1/3*a**4 + 0 + 1/3*a**5 + 0*a - 4/3*a**3 + 4/3*a**2 = 0.
-2, 0, 1, 2
Let a be 3/(-6)*(-16)/2. Suppose -n + a*n = 9. Find b, given that 4*b**2 - 3*b**n - 5*b**2 + 2*b**3 = 0.
-1, 0
Let -2*t**3 + 3*t - t - t**4 - t**2 + 2*t**2 = 0. What is t?
-2, -1, 0, 1
Let w(g) be the third derivative of g**10/907200 - g**8/20160 - g**7/3780 - g**6/1440 - g**5/12 + 2*g**2. Let k(m) be the third derivative of w(m). Factor k(j).
(j - 3)*(j + 1)**3/6
Let g(f) be the second derivative of 0 - 6*f + 1/110*f**5 - 1/33*f**3 + 0*f**2 + 0*f**4. Factor g(m).
2*m*(m - 1)*(m + 1)/11
Let j(v) = -9*v**5 + 7*v**4 - 7*v**2 + 9*v + 11. Let l(m) = 5*m**5 - 4*m**4 + 4*m**2 - 5*m - 6. Let b(x) = 6*j(x) + 11*l(x). What is u in b(u) = 0?
-1, 0, 1
Suppose -5*d = 5*p, -5*d + 16 = -3*p - 0*p. Factor 0 + 2/7*o**3 - 2/7*o - 2/7*o**4 + 2/7*o**d.
-2*o*(o - 1)**2*(o + 1)/7
Let p(q) be the third derivative of -q**9/10080 + q**8/5040 - q**5/20 + 3*q**2. Let k(g) be the third derivative of p(g). Factor k(v).
-2*v**2*(3*v - 2)
Let y(b) be the third derivative of b**6/24 - b**5/4 + 10*b**2. Let y(o) = 0. Calculate o.
0, 3
What is a in -10/13*a - 8/13*a**4 + 8/13*a**3 + 2/13*a**5 + 4/13*a**2 + 4/13 = 0?
-1, 1, 2
Let o(r) be the third derivative of -r**6/24 + r**5/12 + 11*r**2. Let o(b) = 0. Calculate b.
0, 1
Let r = 7 + -5. Let -5*o**2 - 2*o**4 + o**4 + 5*o**r + o**3 = 0. What is o?
0, 1
Let m(q) be the first derivative of q**4/20 - q**3/15 + 42. Determine n, given that m(n) = 0.
0, 1
What is g in -2/9*g**2 + 2/3*g**3 + 2/9*g**5 + 0 + 0*g - 2/3*g**4 = 0?
0, 1
Let u be (-2)/8 + (-55)/(-188). Let g = u + 76/423. Determine r, given that -2/3*r + 4/9 + g*r**2 = 0.
1, 2
Let y(t) be the third derivative of -t**5/150 - t**4/30 + 3*t**2. Factor y(o).
-2*o*(o + 2)/5
Let n = 77/713 - 2/31. Let b = n - -19/92. Determine i so that -1/2*i - 1/4 - b*i**2 = 0.
-1
Let z(w) be the first derivative of w**4/8 - 7*w**3/12 + 3*w**2/8 + 35. Let z(o) = 0. What is o?
0, 1/2, 3
Solve -3*o**2 + 12*o + 6*o**3 - 12*o**4 + 4 - 14*o**3 - 169*o**5 + 165*o**5 + 11*o**2 =