 + 2*g(i). Factor w(x).
4*(x - 2)*(x - 1)
Suppose 0*z**2 + 6*z + 3/2*z**4 + 0 - 9/2*z**3 = 0. What is z?
-1, 0, 2
Let k(p) be the first derivative of 0*p**4 + 4/25*p**5 + 2 - 4/15*p**3 + 1/15*p**6 - 1/5*p**2 + 0*p. Suppose k(a) = 0. What is a?
-1, 0, 1
Let a = 508/4895 + -6/89. Let o(j) be the first derivative of 0*j + 1/11*j**2 + 2/33*j**3 - a*j**5 + 4 - 1/22*j**4. Factor o(r).
-2*r*(r - 1)*(r + 1)**2/11
Let a = -29 + 31. Let t(p) be the first derivative of 1/8*p**4 + 0*p**a + 1/10*p**5 + 2 + 0*p**3 + 0*p. Solve t(f) = 0 for f.
-1, 0
Let j = -772/9 + 86. Find c, given that -4/9 - 2/3*c - j*c**2 = 0.
-2, -1
Let u be 187/630 - (-4)/(-14). Let b(i) be the third derivative of 0*i - 1/36*i**4 + 0*i**3 + 3*i**2 + u*i**5 + 1/180*i**6 - 1/315*i**7 + 0. Factor b(y).
-2*y*(y - 1)**2*(y + 1)/3
Suppose -4*f = 5*z - 19, -2*z + f + 0 = -5. Suppose 2*g = z*g. Suppose -6/5*x**5 - 22/5*x**4 + 0*x + g - 16/5*x**3 + 8/5*x**2 = 0. What is x?
-2, 0, 1/3
Let q be ((-2)/(-5))/((-2)/(-60)). Let p be (1/(-3))/((-2)/q). Factor 8*f**2 + 1 + 4*f**3 + f + f**4 + f + 2*f - p*f**2.
(f + 1)**4
Let i(b) be the first derivative of -4*b**5/45 + b**4/2 - 2*b**3/3 - b**2/9 + 2*b/3 - 38. Suppose i(n) = 0. What is n?
-1/2, 1, 3
Let m(c) be the second derivative of -c**7/126 + c**5/15 + c**4/18 - c**3/6 - c**2/3 + 4*c. Factor m(a).
-(a - 2)*(a - 1)*(a + 1)**3/3
Suppose 10 - 3 = -v. Let b = v - -9. Determine u, given that 1/5 + 0*u - 1/5*u**b = 0.
-1, 1
Let i(s) = 5*s**4 + 11*s**3 - 5*s**2 + 5*s. Let q(w) = -3*w**4 - 7*w**3 + 3*w**2 - 3*w. Let v(n) = 5*i(n) + 8*q(n). Solve v(y) = 0.
-1, 0, 1
Solve 0 + 0*q - 1/2*q**5 + 0*q**2 - q**3 - 3/2*q**4 = 0.
-2, -1, 0
Let z be (-12)/(-4 + 0)*6/54. Factor -5/3*n - z*n**3 - 2/3 - 4/3*n**2.
-(n + 1)**2*(n + 2)/3
Let k be 5 + (2 - 3) - (-4)/(-1). Find l, given that 1/2*l**3 + 1/2*l**5 + 0*l**2 - l**4 + k + 0*l = 0.
0, 1
Let u(v) be the second derivative of v**6/75 + v**5/25 - v**4/10 - 4*v**3/15 + 4*v**2/5 + 17*v. Factor u(f).
2*(f - 1)**2*(f + 2)**2/5
Suppose h + 2 = 4*h - o, 8 = -4*o. Let v(k) be the second derivative of 2/9*k**2 - 2*k - 1/54*k**4 + h + 1/27*k**3. Factor v(t).
-2*(t - 2)*(t + 1)/9
Let t(i) be the second derivative of -1/5*i**2 + 0 - 1/10*i**4 - 2*i - 4/15*i**3. Find o, given that t(o) = 0.
-1, -1/3
Suppose 2*z = 3*q - 11, q - 5 + 0 = 0. Determine o, given that 0 + 0*o - 3/2*o**3 + o**4 - o**z = 0.
-1/2, 0, 2
Let o be 6/21*(1 - -2). Suppose -u = -6*u + 2*z, 4*u = 4*z - 12. Solve o*h - 2/7 + 8/7*h**u = 0 for h.
-1, 1/4
Let k(f) be the third derivative of f**5/60 + f**4/4 + 3*f**3/2 + 17*f**2. Factor k(i).
(i + 3)**2
Let s(u) be the second derivative of -2*u**4/3 - 5*u**3/6 + u. Let d(j) = -4*j**2 - 2*j. Let p = -8 + 5. Let m(i) = p*s(i) + 7*d(i). Factor m(v).
-v*(4*v - 1)
Let b = -59 - -93. Factor -38*h**4 + h**5 + h**5 + b*h**4.
2*h**4*(h - 2)
Factor 0*j + 0 - 24/5*j**2 + 4/5*j**3.
4*j**2*(j - 6)/5
Let a(h) = -30*h**2 - 10*h. Let g(v) = -v**2 + v. Let y(r) = a(r) - 25*g(r). Factor y(z).
-5*z*(z + 7)
Let t(x) be the second derivative of -x**7/231 + 7*x**6/165 - 7*x**5/55 + x**4/33 + 5*x**3/11 - 9*x**2/11 + 14*x. Solve t(o) = 0.
-1, 1, 3
Let q = -3/34 + 23/68. Factor 1/2*n - q*n**2 + 0.
-n*(n - 2)/4
Factor 0*i**4 + 5*i**4 - 2*i**2 - 5*i**4 + 2*i**4.
2*i**2*(i - 1)*(i + 1)
Let a be (2/9)/(2/2). Suppose -3*k + 6 - 6 = 0. Factor -2/9*j**4 + a*j + k + 2/3*j**3 - 2/3*j**2.
-2*j*(j - 1)**3/9
Let q(f) be the second derivative of 0 + 0*f**2 + 1/3*f**3 + 5*f + 1/4*f**4 + 1/20*f**5. Factor q(y).
y*(y + 1)*(y + 2)
Suppose 8 - 4 = 3*z - 2*b, -4*z + 3*b + 6 = 0. Suppose 0 = -j + 5*h + 17, 3*h + 6 + 3 = z. Let 8*k**j - 2*k**3 + 4 + 0*k**2 + 10*k + 4*k**3 = 0. Calculate k.
-2, -1
Let h = 3 - 6. Let k(u) = 12*u - 2 - 3 + 6 - 5*u**2 - 5*u**3 - 11*u. Let g(l) = -6*l**3 - 6*l**2. Let p(n) = h*k(n) + 2*g(n). Factor p(x).
3*(x - 1)*(x + 1)**2
Suppose 3*j = 5*j - 8. Factor c**5 + 3*c**3 + 3*c**j + 2*c**2 - c**2 + 0*c**2.
c**2*(c + 1)**3
Let u(v) = 4*v**3 - 2*v**2 + 2*v. Let b be u(1). Let q(w) be the first derivative of -1/3*w**3 + b - 1/4*w - 5/8*w**2. Suppose q(r) = 0. Calculate r.
-1, -1/4
Factor 48*b + 18 - 7 + 4*b**2 + 4 + 29.
4*(b + 1)*(b + 11)
Let g(f) be the second derivative of 2197*f**6/90 + 1183*f**5/60 - 143*f**4/6 + 74*f**3/9 - 4*f**2/3 + 27*f. Factor g(d).
(d + 1)*(13*d - 2)**3/3
Let y(s) be the third derivative of 0*s - 1/448*s**8 - 1/420*s**7 + 0 + 1/80*s**6 + s**2 + 1/60*s**5 - 1/12*s**3 - 1/32*s**4. Let y(k) = 0. Calculate k.
-1, -2/3, 1
Determine t so that -2/3*t**3 + t**4 - 1/3*t**5 + 0*t + 0*t**2 + 0 = 0.
0, 1, 2
Determine y so that 225*y + 3/4*y**3 + 750 + 45/2*y**2 = 0.
-10
Let i(y) be the second derivative of y**6/15 + y**5/10 - 7*y. Let i(s) = 0. Calculate s.
-1, 0
Solve 24*y**4 - 19*y**3 - 81*y**3 + 20*y - 28*y**2 - 24 + 108*y**2 = 0.
-1/2, 2/3, 1, 3
Let k = -1574/15 + 105. Let y(n) be the first derivative of k*n**6 + 0*n**3 + 0*n**5 + 0*n + 2 + 0*n**4 + 0*n**2. Determine v, given that y(v) = 0.
0
Let w(q) be the first derivative of 2*q - 2/3*q**3 - 1/2*q**4 + 2 + q**2. Let w(i) = 0. Calculate i.
-1, 1
Let j = 430 + -430. Factor 2/3*a + j - 2/3*a**2.
-2*a*(a - 1)/3
Suppose -3*r + o - 1 = 0, -5*r + 0*o + 4*o - 4 = 0. Suppose 5*m - 9 - 1 = 0. Factor r - 2/7*f**m - 2/7*f.
-2*f*(f + 1)/7
Let g(x) be the first derivative of x**6/18 + 2*x**5/15 - 11*x**4/12 - 4*x**3/3 + 6*x**2 + 22. Factor g(b).
b*(b - 2)**2*(b + 3)**2/3
Let i(x) = -x + 11. Let f be i(9). Suppose 2*z - z + f*z**2 + 0 + 2 - 3*z**2 = 0. What is z?
-1, 2
Let t(f) be the second derivative of f**6/210 + f**5/140 - f**4/12 - 13*f**3/42 - 3*f**2/7 - 11*f. Find w such that t(w) = 0.
-2, -1, 3
Suppose 4*m - j - 155 = 0, m = 3*m - 4*j - 60. Let p be 36/m + (-4)/8. Factor -2/5*a + 0 - 2/5*a**2 + p*a**3 + 2/5*a**4.
2*a*(a - 1)*(a + 1)**2/5
Factor 9/2 - 3/4*r**2 - 3/4*r.
-3*(r - 2)*(r + 3)/4
Let k(w) be the first derivative of 2*w**3/9 + 4*w**2/3 + 2*w - 9. Factor k(v).
2*(v + 1)*(v + 3)/3
Suppose 3*a = -5*v + 10, -a - 4*v + 8 = -4*a. Suppose -3*k**4 + 0*k + 0 + 3/2*k**3 + a*k**2 + 3/2*k**5 = 0. Calculate k.
0, 1
Suppose 2*u = u + 2. Let n(v) be the third derivative of 0*v**3 - 1/60*v**6 + 0 - 1/12*v**4 + 2*v**u + 0*v + 1/15*v**5. Factor n(r).
-2*r*(r - 1)**2
Let m(r) = -5*r**3 - 5*r**2 - 4*r. Let b(g) = g**3 - g - 1. Let a(d) = -4*b(d) - m(d). Factor a(q).
(q + 1)*(q + 2)**2
Let b(k) be the second derivative of -k**6/900 - 2*k**5/75 - 4*k**4/15 + k**3/2 - 2*k. Let q(i) be the second derivative of b(i). Factor q(m).
-2*(m + 4)**2/5
Let x(f) = -f**2 + f + 1. Let t be (-10)/(-5) - (2 + -5). Let z(p) = p**3 + 5*p**2 - 6*p - 5. Let v(w) = t*x(w) + z(w). Let v(h) = 0. What is h?
-1, 0, 1
Let x(y) be the third derivative of 0*y**4 - 1/1176*y**8 + 0*y - 5*y**2 + 1/735*y**7 - 1/210*y**5 + 1/420*y**6 + 0*y**3 + 0. Suppose x(r) = 0. Calculate r.
-1, 0, 1
Suppose -15*h + 10*h = 55. Let s be 6/(-12) - h/14. Let -4/7*r**3 - 10/7*r**2 - s*r + 4/7 = 0. Calculate r.
-2, -1, 1/2
Let m be -3 + 3 + 459/546. Let t = m - 7/26. Factor 0 - 2/7*w**2 - t*w.
-2*w*(w + 2)/7
Let i be (1 - 8/48) + 50/12. Suppose 0 - 2/5*h**3 + 0*h**4 + 2/5*h**i + 0*h + 0*h**2 = 0. Calculate h.
-1, 0, 1
Suppose 5*p = 3*p + 36. Suppose 7*w = w + p. Factor w*y**3 + 4/3*y - 4*y**2 + 0.
y*(3*y - 2)**2/3
Let n(p) = 3*p**2 - 10*p + 5. Let t be n(3). Factor 2/7*i**3 + 0 + 0*i**t + 0*i.
2*i**3/7
Suppose 2*m + f = -3, 5*f = -m + 1 - 7. Let s = 7 + m. Solve -g**2 + s*g - 6*g + 2*g**2 = 0 for g.
0
Suppose -3*c - 2*c = -6*c. Let s = 388/3 - 128. Solve -s*a**2 + 2/3*a**4 + 0*a**3 + c*a + 2/3 = 0.
-1, 1
Let y(a) = -a**3 + 5*a**2 + 5*a + 9. Let b be y(6). Suppose 40*w**5 - 42*w**5 + 3*w**3 - w**b = 0. Calculate w.
-1, 0, 1
Let l(o) be the third derivative of -o**7/630 - o**6/360 + o**5/180 + o**4/72 + 3*o**2. Factor l(m).
-m*(m - 1)*(m + 1)**2/3
Factor -y**3 + 21*y**4 + 3*y**3 - 22*y**4.
-y**3*(y - 2)
Suppose 0*d - 5*d + 45 = 0. Suppose -4*t - 1 = -d. Factor t*c**3 - c - 3*c + 2*c.
2*c*(c - 1)*(c + 1)
Let u = -473 + 6161/13. Determine j, given that -4/13*j + 20/13*j**5 - 38/13*j**4 + 0 + 10/13*j**2 + u*j**3 = 0.
-1/2, 0, 2/5, 1
Suppose -1/2*s**3 + 0*s + 1/6*s**2 + 0 = 0. What is s?
0, 1/3
Find n, given that -6 - 2*n**2 + 0*n**2 - 19*n + 27*n = 0.
1, 3
Let s(h) be the first derivative of -686/5*h**5 + 1 + 1519/8*h**4 - 4*h - 105*h**3 + 