*q(b) - 6*w(b). What is z in g(z) = 0?
-2, 1
Let r be 8 - (364/36 + -3). What is k in -r*k**2 - 8/9*k - 2/9 = 0?
-1/2
Suppose -4*m + 8 = -56. Let t be (m/10)/((-21)/(-15)). Factor -t*v**3 - 12/7*v + 18/7*v**2 + 2/7.
-2*(v - 1)**2*(4*v - 1)/7
Suppose -4*o = -3*n + 24, 4*o = -5*n - 1 + 9. Let q(p) = p**2 + 2*p - 3. Let m be q(o). Suppose m*x + 2/5*x**2 - 2/5 = 0. Calculate x.
-1, 1
Factor -2*m + 12 + 2/3*m**3 - 8/3*m**2.
2*(m - 3)**2*(m + 2)/3
Let b = -10262/3 + 3381. Let d = 40 + b. Determine i, given that 0*i**4 - 8/3*i**2 - 6*i**3 + 0 - d*i + 9*i**5 = 0.
-1/3, 0, 1
Let k = 244 - 485/2. Factor k*p**3 + 0*p - 1/2*p**4 - p**2 + 0.
-p**2*(p - 2)*(p - 1)/2
Let h(y) = y**2 - 12*y + 13. Let n = -6 + 17. Let f be h(n). Let 10/9*a - 4/9 + 2/9*a**3 - 8/9*a**f = 0. Calculate a.
1, 2
Let v(c) be the first derivative of -4*c + 1/2*c**4 + 6*c**2 - 3*c**3 - 4. Determine a so that v(a) = 0.
1/2, 2
Suppose 0*y + 5*h + 21 = 2*y, -5*y + 24 = -3*h. Let q(x) be the first derivative of -2/25*x**5 + 0*x + 0*x**2 + 1/5*x**4 - 4 - 2/15*x**y. Factor q(r).
-2*r**2*(r - 1)**2/5
Factor 0*k**2 - 1/2*k**4 + 1/2 + k**3 - k.
-(k - 1)**3*(k + 1)/2
Factor -1/2*f**3 - 4 + 1/2*f + 4*f**2.
-(f - 8)*(f - 1)*(f + 1)/2
Suppose 3*z + 1 = 2*j, 3*j + 2*z + 4 = 12. Suppose 3*v = -2*t - 2, 3*t = -5*v + 2 - 4. Factor x**3 + j*x - x - v*x**3.
-x*(x - 1)*(x + 1)
Determine m, given that -2/3*m**4 + 2/3*m**2 - 1/3*m + 1/3*m**3 + 0 = 0.
-1, 0, 1/2, 1
Suppose -5*j = -89 + 74. Let u be 1/(-3) - (-2)/3. Factor u*h**j + 1/3*h**4 - 1/3*h**2 + 0 - 1/3*h.
h*(h - 1)*(h + 1)**2/3
Solve 39*g**2 - 4*g**2 + 9*g + 60 - 89*g - 5*g**3 = 0 for g.
2, 3
Suppose 18/7*p**5 + 0 - 22/7*p**3 + 6/7*p**4 + 4/7*p - 6/7*p**2 = 0. Calculate p.
-1, -2/3, 0, 1/3, 1
Factor 0 + 0*j + 0*j**3 + 2/5*j**2 - 2/5*j**4.
-2*j**2*(j - 1)*(j + 1)/5
Find f, given that 0*f + 2/5*f**4 - 2/5*f**2 - 2/5*f**5 + 0 + 2/5*f**3 = 0.
-1, 0, 1
Let p(c) be the third derivative of c**6/150 - c**5/15 + 4*c**4/15 - 8*c**3/15 - 11*c**2. Solve p(y) = 0.
1, 2
Let c(w) = -w**3 + w**2 - w + 3. Suppose 5*q = 3*t - 10, 4*q + 10 - 2 = -2*t. Let a be c(t). Factor -2/5 - 6/5*d - 2/5*d**a - 6/5*d**2.
-2*(d + 1)**3/5
Let f(u) = -2*u**2 - 23*u + 32. Let i(a) = -3*a**2 - 24*a + 33. Let c(v) = v**3 + 6*v**2 - 5. Let m be c(-6). Let n(b) = m*i(b) + 6*f(b). Factor n(g).
3*(g - 3)**2
Let y(g) = g - 4. Let n be y(4). Let m(q) be the second derivative of -1/15*q**5 + 0 + 1/12*q**4 + n*q**2 + 1/18*q**3 + q. Factor m(i).
-i*(i - 1)*(4*i + 1)/3
Let g(k) be the first derivative of k**5/10 - 5*k**4/8 + k**3 + k**2 - 4*k + 18. Factor g(s).
(s - 2)**3*(s + 1)/2
Let b be ((-4)/90)/(7/(-245)). What is y in -4/9 + b*y**4 - 2*y**3 - 10/9*y**2 + 2*y = 0?
-1, 2/7, 1
Let d(x) = -x**2 + 4*x - 1. Let c(t) = t**2 - 8*t - 6. Let u be c(9). Let r be d(u). Factor -4*h**4 + 0*h**5 - h**5 + 3*h**5 - 4*h**r - 6*h**3 - 3*h**5 - h.
-h*(h + 1)**4
Let r(c) = -c**2 + 4. Let k be r(-2). Factor -6/5*n**3 + 2/5*n**2 + k + 4/5*n.
-2*n*(n - 1)*(3*n + 2)/5
Suppose 7 + 1/7*x**2 - 2*x = 0. What is x?
7
Let a = 66 - 64. Factor 0 - 3/5*q**5 + a*q**4 - 12/5*q**3 + 6/5*q**2 - 1/5*q.
-q*(q - 1)**3*(3*q - 1)/5
Let z(l) = -5*l**3 - 17*l**2 - 25*l. Let a(k) = 3*k**3 + 9*k**2 + 12*k. Let v(t) = -11*a(t) - 6*z(t). Factor v(j).
-3*j*(j - 3)*(j + 2)
Let o = 4 + -4. Suppose -5*p = -o*p - 20. Factor 4*x - 2*x**4 - 4*x**3 + 2 - 3*x**4 + 0*x**4 + 3*x**p.
-2*(x - 1)*(x + 1)**3
Let c(w) be the second derivative of w**6/60 + w**5/20 + w**4/24 - 35*w. Suppose c(m) = 0. Calculate m.
-1, 0
Let g(j) = -3*j**3 + j**2 + j. Let n be g(-1). Let o = 5 - 2. Solve -2*i - 3*i**n + 1 - i**4 + i**o + 4*i = 0 for i.
-1, 1
Let f = 0 - -1. Suppose 5*a = a + 16. Let c(y) = -6*y**2 + 5*y + 4. Let k(n) = n**2 - n - 1. Let m(h) = a*k(h) + f*c(h). Factor m(o).
-o*(2*o - 1)
Let h(m) be the third derivative of m**5/60 + m**3/2 - 2*m**2. Let f be h(0). Let -4*a**4 + 5*a**f + 0*a**2 - a**2 + a**4 - a**3 = 0. Calculate a.
0, 1/3, 1
Let d = 17/27 - -1/27. Factor -2/9*q**3 + 2/9 - d*q + 2/3*q**2.
-2*(q - 1)**3/9
Let q(i) = i**3 + 5*i**2 + i + 5. Let d be q(-5). Let h be 6/(-4) - (d - 2). Find r such that -r**4 - h*r + r**2 + 0 + 0*r**3 + 1/2*r**5 = 0.
-1, 0, 1
Let s = -8 + 17. Suppose -6*c = -s*c. Factor -2/7*r**2 + 4/7*r + c.
-2*r*(r - 2)/7
Let h(a) be the second derivative of 1/36*a**4 - a + 0*a**3 + 0 - 1/45*a**5 + 1/180*a**6 - 1/2*a**2. Let n(p) be the first derivative of h(p). Solve n(g) = 0.
0, 1
Factor 0 + 0*g + 1/5*g**2 + 1/5*g**3.
g**2*(g + 1)/5
Let s be 138/42 - 4/14. Suppose -4 - m**3 - 5*m**s + 4*m**3 - 10*m + 3*m**2 - 11*m**2 = 0. What is m?
-2, -1
Let m(i) be the first derivative of -i**6/540 - i**5/180 - 5*i**3/3 - 4. Let h(q) be the third derivative of m(q). Factor h(o).
-2*o*(o + 1)/3
Let d(u) be the second derivative of -3/10*u**5 + 5*u - 1/3*u**4 + 2*u**2 + 0 + u**3. Find p, given that d(p) = 0.
-1, -2/3, 1
Let i(u) = -u - 6 + 3 - 4. Let j be i(-7). Factor -1/2 + 0*g**3 - 1/2*g**4 + g**2 + j*g.
-(g - 1)**2*(g + 1)**2/2
Let z be (-1 - 1) + (-242)/(-120). Let q(n) be the third derivative of -n**2 + 0*n**3 - 1/15*n**5 + 0 + 0*n - 1/12*n**4 - z*n**6. Solve q(y) = 0.
-1, 0
Let r(j) = -5*j**4 - 3*j**3 + 5*j**2 + 6*j. Let d(q) = 16*q**4 + 8*q**3 - 16*q**2 - 18*q. Let u(s) = -3*d(s) - 10*r(s). Find m such that u(m) = 0.
-3, -1, 0, 1
Let g(o) be the first derivative of -o**4/12 + o**3 - 9*o**2/2 - 7*o - 3. Let f(u) be the first derivative of g(u). Factor f(x).
-(x - 3)**2
Let o(l) = 2*l**2 + 2*l - 2. Let c be o(1). Let w(f) = f. Let g be w(0). What is a in g + 2/9*a + 2/9*a**3 + 4/9*a**c = 0?
-1, 0
Let w(u) = 8*u - 21. Let q be w(3). Let x(y) be the first derivative of -2/7*y + 8/21*y**3 - q - 3/7*y**2. Determine v so that x(v) = 0.
-1/4, 1
Let q(v) = -6*v**4 + 4*v**3 - 2*v**2 + 2. Let z(a) = -a**4 + a**3 - a**2 - a. Let p(n) = -q(n) + 5*z(n). Solve p(f) = 0 for f.
-1, 2
Let n = -230 - -1381/6. Let 0 + 1/6*l**5 - 1/3*l**4 + 0*l + n*l**3 + 0*l**2 = 0. What is l?
0, 1
Let w(l) = -4*l**2 + 37*l - 103. Let r(u) = 4*u**2 - 36*u + 104. Let m(y) = -3*r(y) - 4*w(y). Factor m(g).
4*(g - 5)**2
Solve 252*x**3 + 18*x**4 + 272*x**2 + 76*x**4 + 3*x + 28 + 12*x**5 - 10 + 117*x = 0 for x.
-3, -1, -1/2, -1/3
Let r = 10 + -7. Let w(a) = a**2 - a - 3. Let u be w(r). Suppose -5*i**2 + i**u + 3*i**2 + i**2 = 0. Calculate i.
0, 1
What is s in -1/6*s**3 - 1/2*s**2 + 1/6*s**4 + 5/6*s - 1/3 = 0?
-2, 1
Suppose -12 = 2*u - 5*u. Find n such that -2*n**2 - 12 - 12*n**3 + 12*n + 3*n**u + 7*n**2 + 4*n**2 = 0.
-1, 1, 2
Let a = -11 - -14. Suppose 0 + 4/5*d**2 - 4/5*d**4 - 2/5*d + 2/5*d**a = 0. What is d?
-1, 0, 1/2, 1
Let h be 2/(-7) - (-92)/28. Determine o, given that 2*o**4 + o**3 - 2*o + o**3 - h*o**4 + 2*o**2 - o**4 = 0.
-1, 0, 1
Let f(c) be the second derivative of -c**8/13440 - c**7/5040 + c**6/1440 + c**5/240 + c**4/12 - 3*c. Let u(x) be the third derivative of f(x). Factor u(q).
-(q - 1)*(q + 1)**2/2
Let f = -1236/5 - -248. Factor f*v + 2/5 + 2/5*v**2.
2*(v + 1)**2/5
Let y(t) = 0*t + 13 + 0*t - 2*t - 3. Let f be y(5). Factor 0*r - 1/4*r**5 + 1/4*r**2 + f + 3/4*r**4 - 3/4*r**3.
-r**2*(r - 1)**3/4
Let p(a) be the second derivative of -a**5/20 - a**4/4 - a**3/2 + 2*a**2 - a. Let f(u) be the first derivative of p(u). Solve f(v) = 0 for v.
-1
Let x be (-8)/(-6)*(-45)/6. Let g = 12 + x. Factor -2/3 - 4/3*n**g + 1/3*n**3 + 5/3*n.
(n - 2)*(n - 1)**2/3
Let c be 1/(-2)*(-1)/2. Let a = 54/5 - 103/10. Determine s, given that -c*s**2 - 1/4 - a*s = 0.
-1
Let v(d) be the second derivative of -d + 1/48*d**4 + 1/12*d**3 + 0 + 0*d**2. What is u in v(u) = 0?
-2, 0
Let t = 3569/2240 - -3/448. Solve -2/5*x + 0 + t*x**2 = 0 for x.
0, 1/4
Let k be (-2)/6 - (-2)/6. Let 0*b**2 - 1/2*b**3 + k*b + 1/2*b**4 + 0 = 0. Calculate b.
0, 1
Let r be 9 - 2 - (1 - 4). Suppose -6*w + r*w = 12. Let 2*d + 4/3 - 2/3*d**w + 0*d**2 = 0. What is d?
-1, 2
Let m(u) = u**3 - 5*u**2 + 4*u. Let d(h) = h**2 - h. Let r(f) = -6*d(f) - 3*m(f). What is g in r(g) = 0?
0, 1, 2
Let p = 0 + 11. Solve -p*h**2 + 10*h**2 + 0*h - 2*h + 3*h + 1 - h**3 = 0 for h.
-1, 1
Factor 3 + 0*a**3 + 5*a + 0*a**3 + a**3 - 5 - 4*a**2.
(a - 2)*(a - 1)**2
Let s = 6 - 3. Let o = -2 + s. Determine f, given that f**2 - f**3 - 4*f + 6*f - f - o = 0.
-1, 1
Let n(s) = -3*s**5 - 3*s**3 - 3*s**2 + 3*s - 3. Let v(u) = 6*u**5 - u**4 + 7*u**3 + 7*u**