et u(h) = 9*m(h) - 2*r(h). Let x be u(-4). Factor 0 - 3/2*l**2 - 7/2*l**4 + l - x*l**3.
-l*(l + 1)**2*(7*l - 2)/2
Let h(a) = -1. Let z(y) = -3*y**2 + 27*y - 18. Let d(u) = -6*h(u) - z(u). Factor d(i).
3*(i - 8)*(i - 1)
Let g be 3 - 1 - (-4)/6*-2. Let -2/3*s**2 + 4/3*s - g = 0. Calculate s.
1
Let p(v) = -v + 1. Suppose 0*m = -f - 4*m - 7, 0 = -5*f + 2*m + 9. Let x be p(f). Suppose 2/7*y + x - 2/7*y**2 = 0. What is y?
0, 1
Suppose -5*r + 26 = 1. Let i(k) be the second derivative of 1/30*k**r + 0 - 2*k + 1/18*k**4 - 1/9*k**3 + 0*k**2 - 1/45*k**6. Factor i(v).
-2*v*(v - 1)**2*(v + 1)/3
Let y(z) = -z**3 - z**2 + z. Let m(p) = -4*p**3 + p**2 + 17*p + 8. Let q be 186/18 - (-2)/(-6). Let o(t) = q*y(t) - 2*m(t). Factor o(i).
-2*(i + 2)**3
Determine z, given that 2/3*z**2 + 0 - 14/3*z = 0.
0, 7
Let q be (-1)/5 + (-96)/(-30). Suppose -f + 4*b = -6*f - 10, 9 = -3*f - q*b. Solve 2 - 14*c**3 - f*c + 2 - 24*c**2 + 0 - 4*c = 0.
-1, 2/7
Let t(j) be the second derivative of j**5/70 - j**3/21 + 2*j. Solve t(a) = 0.
-1, 0, 1
Solve 0*r**2 + 1/3*r**5 + 0*r**3 + 0 + 0*r + 1/3*r**4 = 0 for r.
-1, 0
Let r be (1 + 8/(-5))*3 - -2. Factor 0 + r*p**3 - 3/5*p**2 + 2/5*p.
p*(p - 2)*(p - 1)/5
Let r be 4/4*0/(-1). Let q = r - -2. Find n, given that -q*n**3 + 2 + 3*n**3 - 2*n - n = 0.
-2, 1
Let d be (2 + -2)*-1 - 0. Factor 12*p**3 - 24*p**2 + 5*p**3 + d + 12*p - p**3 - 2.
2*(2*p - 1)**3
Let y be ((-8)/66)/(1/(-3)). Suppose -4/11*s**2 + 0 + y*s**4 + 2/11*s + 0*s**3 - 2/11*s**5 = 0. What is s?
-1, 0, 1
Let t(i) be the first derivative of -i**4 + 84*i**3 - 2646*i**2 + 37044*i + 26. Factor t(c).
-4*(c - 21)**3
Let a = -22 - -26. Suppose 0*m + 12 = a*m. Let -2/3*d**m - 2/3*d + 0 + 4/3*d**2 = 0. Calculate d.
0, 1
Suppose -31 + 3*v**2 + 76*v + 55 + 9*v**2 = 0. Calculate v.
-6, -1/3
Let m(h) = -h**5 - h**2 - h - 1. Let v(x) = 6*x**5 - 16*x**4 + 48*x**3 - 60*x**2 + 36*x + 4. Let b(t) = 4*m(t) + v(t). Factor b(c).
2*c*(c - 2)**4
Suppose 3*p - 3 - 12 = 0. Let l = -2 + p. Determine q, given that 0*q**2 + 0 + 2/3*q**4 + 0*q + 1/3*q**5 + 1/3*q**l = 0.
-1, 0
Let p(s) be the third derivative of -s**8/1848 - s**7/385 - s**6/330 + s**5/165 + s**4/44 + s**3/33 + s**2. Factor p(v).
-2*(v - 1)*(v + 1)**4/11
Solve -11*g**3 + 14*g**3 + 12*g**2 - 3*g**5 + 8*g**4 + 17*g**3 - 7*g**4 = 0.
-2, -2/3, 0, 3
Suppose 3 - 9 = -3*h. Factor -68*w - 2*w**h + 2 + 68*w.
-2*(w - 1)*(w + 1)
Let p(r) be the first derivative of r**4 - 1 - 2*r**2 + 2/5*r**5 - 2*r + 0*r**3. Factor p(i).
2*(i - 1)*(i + 1)**3
Factor 42*b**2 - 19*b**2 - 21*b**2 - 10*b.
2*b*(b - 5)
Let h(r) = -r**2 + 5*r - 3. Let b be h(3). Let m be b + 10/(-4)*1. Factor -m*o**2 + 1/2 - o + o**3.
(o - 1)*(o + 1)*(2*o - 1)/2
Solve 4*s**2 + s**2 + 3*s**2 - 4*s = 0.
0, 1/2
Let h(n) = n**2 + 17*n + 52. Let z be h(-13). Factor z + 2/11*q**2 - 2/11*q.
2*q*(q - 1)/11
Let k = -671 - -4745/7. Solve 44/7*a**4 + k*a**3 - 8*a**5 + 0 - 44/7*a**2 + 8/7*a = 0 for a.
-1, 0, 2/7, 1/2, 1
What is p in 0 + p - 1/3*p**2 = 0?
0, 3
Factor 1/3*u + 2/3 + 5/3*u**3 - 8/3*u**2.
(u - 1)**2*(5*u + 2)/3
Let x be (1 - (-1 + 2))/(3 - 2). Let h(r) be the second derivative of 4/9*r**3 + 0 + 1/6*r**5 - r - 2/3*r**4 + x*r**2. Find z, given that h(z) = 0.
0, 2/5, 2
Let m(o) = -3*o**3 + 3*o**2 - 9*o - 3. Let b(v) = v**2 + v + 1. Let l(n) = 4*b(n) + m(n). Factor l(a).
-(a - 1)**2*(3*a - 1)
Let h(i) be the first derivative of -3*i**5 + 9*i**4 - 9*i**3 + 3*i**2 + 5. Factor h(l).
-3*l*(l - 1)**2*(5*l - 2)
Let u(s) be the second derivative of -5*s**7/42 - 5*s**6/6 - 7*s**5/4 - 5*s**4/4 + 34*s. Determine a, given that u(a) = 0.
-3, -1, 0
Suppose -7*c = -6*c + 2*c. Determine b, given that c*b + 1/5*b**2 + 0 - 1/5*b**4 + 0*b**3 = 0.
-1, 0, 1
Let p = -12 + -1. Let c(i) = -6*i**4 + 12*i**3 + i + 19. Let r(h) = 3*h**4 - 6*h**3 - 9. Let b(y) = p*r(y) - 6*c(y). Factor b(k).
-3*(k - 1)**3*(k + 1)
Let s be 2/8 + 30/40. Let w be s - (-2 + 52/20). Factor 0*n - 2/5*n**4 + 0*n**3 + w*n**2 + 0.
-2*n**2*(n - 1)*(n + 1)/5
What is x in 3 + x + 15 + 0*x - 3*x**2 + 2*x = 0?
-2, 3
Let d(b) be the first derivative of -108*b**3 - 36*b**2 - 4*b - 3. What is z in d(z) = 0?
-1/9
Let k(a) be the first derivative of a**6/3 - 6*a**5/5 + a**4 + 4*a**3/3 - 3*a**2 + 2*a - 3. Factor k(m).
2*(m - 1)**4*(m + 1)
Let d(v) be the third derivative of -v**6/810 + v**5/180 - v**4/108 - v**3 + 6*v**2. Let u(t) be the first derivative of d(t). Factor u(i).
-2*(i - 1)*(2*i - 1)/9
Let q = 2 + -2. Let g = 5 + q. Solve 0 - 2*n**3 + 1/3*n + 0*n**2 - 8/3*n**4 - n**g = 0.
-1, 0, 1/3
Suppose t + m = 0, -9*t + 6*t - 5*m = 8. Let y(x) be the second derivative of 0*x**2 + 2/33*x**3 + 0 - 3*x + 1/66*x**t. Determine r so that y(r) = 0.
-2, 0
Let a = -1726103/2554384 - -10/68421. Let i = -5/48 - a. Factor -2*g + 2*g**3 - 4/7 + i*g**2.
2*(g - 1)*(g + 1)*(7*g + 2)/7
Let a be (1/(-1))/((-45)/(-25) + -2). Let n(x) be the third derivative of 0 + 2*x**2 + 1/30*x**a + 0*x + 1/42*x**4 + 0*x**3. Factor n(c).
2*c*(7*c + 2)/7
Let d be (8/10)/(3 - 63/35). Determine j, given that 0 - 2/3*j**4 - d*j**2 + 0*j - 4/3*j**3 = 0.
-1, 0
Let x = -14 - -6. Let z(k) = 4*k**2 - 4*k. Let q(r) = 11*r**2 - 12*r + 1. Let y(b) = x*z(b) + 3*q(b). Determine v so that y(v) = 0.
1, 3
Let d(i) be the third derivative of 0*i**4 - 1/1365*i**7 + 1/2184*i**8 + 0*i**3 + 0 - 4*i**2 + 0*i - 1/780*i**6 + 1/390*i**5. Factor d(h).
2*h**2*(h - 1)**2*(h + 1)/13
Let -5/2*t**5 + 25/2*t**4 + 25*t**2 + 5/2 - 25*t**3 - 25/2*t = 0. Calculate t.
1
Let u(l) = -l**2 + 1. Suppose -5*m - 5*c - 20 = 0, -3*m + 4*m = -3*c - 10. Let q(x) = -15*x**2 - 24*x - 10. Let o(i) = m*u(i) - q(i). Factor o(f).
(4*f + 3)**2
Suppose 0 + 3/4*h**3 + 0*h - 3/4*h**4 + 3/2*h**2 = 0. Calculate h.
-1, 0, 2
Let s(k) be the first derivative of -8/5*k**5 + 4*k**3 - k**6 - 4*k - 5*k**2 + 10 + 4*k**4. Determine i so that s(i) = 0.
-2, -1, -1/3, 1
Suppose t - 5 = 0, 0*h = -3*h - 4*t + 41. Let y be -3 + -2 + 37/h. Factor -2/7*r + 2/7*r**2 + y*r**3 - 2/7.
2*(r - 1)*(r + 1)**2/7
Let g(w) = -2*w**2 + 10*w - 6. Let f be g(4). Let b be (3/6)/(f/9). Factor -b*d**2 - 3/4*d - 9/4*d**3 - 3/4*d**4 + 0.
-3*d*(d + 1)**3/4
Let w be (4/(-5))/((-6)/15). Let t(n) be the third derivative of 0*n + 0*n**3 + 0 + 7/12*n**6 + w*n**2 - 4/5*n**5 + 1/3*n**4. Factor t(f).
2*f*(5*f - 2)*(7*f - 2)
Let s be 4 - -20*(-6)/32. Suppose 0*q**3 + 0 + 0*q - q**2 + s*q**4 = 0. What is q?
-2, 0, 2
Suppose t = 7 - 21. Let f be (-100)/(-56) + 4/t. Factor -f*q - 1 + 0*q**2 + 1/2*q**3.
(q - 2)*(q + 1)**2/2
Let 2/17*q**2 + 0*q - 2/17 = 0. Calculate q.
-1, 1
Let y(c) be the second derivative of -3*c - c**2 + 0 - 1/60*c**5 + 1/24*c**4 + 0*c**3. Let p(v) be the first derivative of y(v). Find o, given that p(o) = 0.
0, 1
Let x(m) = -m**4 + m + 1. Let n(a) = 8*a**4 + 2*a**3 - 3*a**2 - 15*a - 11. Let o(y) = 3*n(y) + 21*x(y). Find z such that o(z) = 0.
-2, -1, 2
Let f(q) = q**4 + 2*q**3 + 5*q**2 + 4. Suppose 0 = -3*m + 2*m. Let g(k) = -4 + m*k**2 - 4*k**3 - 5 - 11*k**2 - 2*k**4. Let d(w) = 9*f(w) + 4*g(w). Factor d(u).
u**2*(u + 1)**2
Solve 4/5*r**2 + 0 + 8/5*r = 0.
-2, 0
Let a(d) be the first derivative of d**3/3 - 3*d**2/2 + 5. Solve a(f) = 0.
0, 3
Factor 0*t**5 + 0*t**3 + 8*t**4 + 12*t**3 + 2*t**5 - 6*t**5.
-4*t**3*(t - 3)*(t + 1)
Let f = 159 - 159. Suppose 1/2*o**2 - 1/2*o**5 - 3/2*o**3 + 3/2*o**4 + f*o + 0 = 0. What is o?
0, 1
Factor -1/7*t + 0 + 1/7*t**2.
t*(t - 1)/7
Suppose x = 5*s - 1 - 10, -5*x - 2*s = 1. Let c = x - -4. Determine y so that 0*y**2 + 0 - 2/5*y + 2/5*y**c = 0.
-1, 0, 1
Factor 4*w**5 - 3*w**5 - 5*w**5 - w**5.
-5*w**5
Let a(m) be the second derivative of m**5/150 + m**4/45 + 18*m. Let a(u) = 0. What is u?
-2, 0
Let p = -8 + 13. Solve 3*k**p + 0*k**5 + k**2 - 4*k**5 - k**4 + k**3 = 0 for k.
-1, 0, 1
Let r(x) = -x**3 - 10*x**2 + 1. Let l be r(-10). Let j be (28/(-105))/(l/(-5)). Factor -2/3*c**2 - 2/3 + j*c.
-2*(c - 1)**2/3
Let p = -56 + 396/7. Let o = -698/7 - -100. Determine y, given that 0 + p*y**2 + 2/7*y + o*y**3 = 0.
-1, 0
Let v(n) be the second derivative of 0*n**3 + 3/20*n**5 - 1/30*n**6 + 0*n**2 + 0*n**4 - 6*n + 0. Solve v(x) = 0 for x.
0, 3
Let g be (-96)/(-39)*28/112. Factor g*k**2 + 0 + 2/13*k**3 + 8/13*k.
2*k*(k + 2)**2/13
Let u(a) be the second derivative of a**6/105 + a**5/14 + 4*a**4/21 + 4*a**3/21 - 6*a. Let u(r) = 0. What is r?
-2, -1, 0
Let h(t) = -t