, 1
Let w(l) = -15*l - 163. Let r be w(-11). Factor 1/3*x**r - 1 - 2/3*x.
(x - 3)*(x + 1)/3
Let t(p) = -4*p - 1. Let s(q) = -q - 6. Let r be s(-5). Let l be t(r). Determine y, given that 6/5*y**2 + 0*y**l + 0 - 2/5*y**4 + 4/5*y = 0.
-1, 0, 2
Solve -2/5*j - 3/5*j**2 + 1/5 = 0 for j.
-1, 1/3
Factor 0*y + 2/13*y**2 - 2/13.
2*(y - 1)*(y + 1)/13
Suppose 5*b + 3 = -7. Let j be (-8)/36 + b/(-9). Find n, given that j + 2*n**3 - 3*n**4 + 0*n + 4/3*n**5 - 1/3*n**2 = 0.
0, 1/4, 1
Let u(k) = -17*k + 1. Let q be u(-2). Factor 2*n**2 - 35 + q.
2*n**2
Factor -3*p**4 + 0*p - 9/2*p**5 + 15/2*p**3 + 0 + 6*p**2.
-3*p**2*(p + 1)**2*(3*p - 4)/2
Let q(u) = -3*u**3 - u**2 + 5. Suppose j + 1 = 5*s - 3*j, 5*j - 5 = 0. Let d(i) = -i**2 - 1. Let h(o) = s*q(o) + 5*d(o). Factor h(w).
-3*w**2*(w + 2)
Let l = 6 + -6. Let s = -1611/5 + 323. Factor -2*y**3 - 2/5*y + 8/5*y**2 + l + s*y**4.
2*y*(y - 1)**2*(2*y - 1)/5
Let u(r) = 2*r**4. Let m(n) = -2*n**5 + 30*n**4 - 6*n**3 - 2*n**2. Let p(h) = -2*m(h) + 36*u(h). Factor p(y).
4*y**2*(y + 1)**3
Let u(o) be the third derivative of -o**6/240 - o**5/60 - o**4/48 + 24*o**2. Solve u(v) = 0 for v.
-1, 0
Determine o, given that 3/2*o**2 - 3/4*o - 3/4 - 3/4*o**5 - 3/4*o**4 + 3/2*o**3 = 0.
-1, 1
Factor 12/7*n + 3/7*n**2 + 12/7.
3*(n + 2)**2/7
Suppose 30 = 4*w + 18. Suppose 0 = p + w*p. Factor -1/4*k**3 + 0*k**2 + p + 0*k.
-k**3/4
Let g(n) = 8*n**2 - 27*n - 38. Let l(k) = -25*k**2 + 80*k + 115. Let w(i) = -10*g(i) - 3*l(i). Factor w(x).
-5*(x - 7)*(x + 1)
Let d = -5126/21 + 244. Let q = d - -94/105. Factor 2/5*y**2 + q - 6/5*y.
2*(y - 2)*(y - 1)/5
Let l(v) be the first derivative of -v**4/32 + v**3/6 + 5*v**2/16 - 50. Find d such that l(d) = 0.
-1, 0, 5
Solve 0*i + 0 + 1/3*i**2 = 0 for i.
0
Factor 8/9 - 4/9*c - 4/9*c**2.
-4*(c - 1)*(c + 2)/9
Let z(b) be the first derivative of b**4/28 - 2*b**3/7 + 9*b**2/14 - 20. Determine p so that z(p) = 0.
0, 3
Let g(c) be the second derivative of 1/30*c**4 - 4*c + 0*c**2 + 2/15*c**3 - 1/25*c**5 - 1/75*c**6 + 0. Factor g(x).
-2*x*(x - 1)*(x + 1)*(x + 2)/5
Let y(t) be the third derivative of t**5/20 - t**4/2 + 3*t**3/2 + 18*t**2. Factor y(o).
3*(o - 3)*(o - 1)
Let y(c) be the first derivative of c**4/6 - 4*c**3/3 + 3*c**2 - 8*c/3 + 13. Factor y(m).
2*(m - 4)*(m - 1)**2/3
Let d(r) = r**4 - 3*r**3 - 3. Let y = 0 + 3. Let o(j) = -j**4 + j**3 + 1. Let b(s) = y*o(s) + d(s). Solve b(v) = 0.
0
Let f(s) be the third derivative of -2/75*s**5 + 3*s**2 + 0*s + 43/300*s**6 - 1/15*s**4 + 0*s**3 + 8/105*s**7 - 5/56*s**8 + 0. Suppose f(b) = 0. Calculate b.
-2/5, 0, 1/3, 1
Let x = 22 - 18. Suppose 0*m = -4*m + 5*s + 20, 0 = 4*m - x*s - 16. Suppose -p + 1/2*p**2 + m = 0. What is p?
0, 2
What is p in 14/5*p**3 - 3*p + 2/5*p**2 + 1/5*p**5 + 7/5 - 9/5*p**4 = 0?
-1, 1, 7
Let h(f) be the first derivative of -2 - 1/25*f**5 + 1/30*f**4 + 1/75*f**6 + 0*f**3 + 0*f**2 - 3*f. Let m(w) be the first derivative of h(w). Factor m(y).
2*y**2*(y - 1)**2/5
Suppose 6*r - 21*r**3 - 749*r**2 + 758*r**2 + 6*r**3 = 0. Calculate r.
-2/5, 0, 1
Let i(r) = -5*r**3 - 6*r**2 - 3*r + 8. Let a(h) = 14*h**3 + 17*h**2 + 9*h - 23. Let u(g) = -6*a(g) - 17*i(g). Suppose u(l) = 0. Calculate l.
-2, 1
Let g be (6/(-8))/((-9)/8). Let d be (2/(-5))/((-6)/10). Factor g*w**2 + d*w**3 + 0 + 0*w.
2*w**2*(w + 1)/3
Let m(v) be the first derivative of -3*v**5/35 - 15*v**4/28 - 6*v**3/7 + 18. Find h, given that m(h) = 0.
-3, -2, 0
Suppose 6*x - 1 - 17 = 0. Suppose 4*y**4 - 12*y**x + 18*y**3 - 3*y**4 - 3*y**5 - 4*y**4 = 0. What is y?
-2, 0, 1
Let -16*i**3 + 11*i**3 - i**2 + 13*i**2 + 7*i**3 = 0. Calculate i.
-6, 0
Let c(j) be the third derivative of 0*j + 1/30*j**6 + 2/45*j**5 - 2/315*j**7 + 0 + j**2 - 2/9*j**3 - 1/12*j**4 - 1/168*j**8. Let c(v) = 0. What is v?
-1, -2/3, 1
Let t be (6 - (-60)/(-9)) + 2. Let v be (1 + (-6)/2)/(-3). Solve 2/3*f**2 + v + t*f = 0 for f.
-1
Let a = 11 + -8. Let h be -3 - (a - 39/6). Factor -1 + h*c + 1/2*c**2.
(c - 1)*(c + 2)/2
Solve 24 - 35*c**2 + 6*c**4 + c**4 + 20*c - 9*c**3 - c**5 + c**4 + 13*c**2 = 0.
-1, 2, 6
Let r(c) = 3*c**4 - 6*c**3 - 3*c**2 + 6. Let s(a) = -6*a**4 + 11*a**3 + 7*a**2 - a - 11. Let h(v) = 11*r(v) + 6*s(v). Factor h(g).
-3*g*(g - 1)**2*(g + 2)
Factor -2/5*t - 2/5*t**5 - 4/5*t**2 + 4/5*t**3 + 2/5 + 2/5*t**4.
-2*(t - 1)**3*(t + 1)**2/5
Let x(k) be the second derivative of -k**6/35 + k**5/70 + 4*k. Let x(n) = 0. Calculate n.
0, 1/3
Let v(w) = -5*w**3 - w**2 + 1. Let d be v(-1). Suppose -2*z - 53 = -d*s - 15, -2*z = -s + 6. Factor k**2 + s + 0*k**2 - 8*k + k**2.
2*(k - 2)**2
Suppose 3*r**2 + 20*r**4 + 5*r**2 + 30*r**3 + 5*r + 5*r**5 + 12*r**2 = 0. What is r?
-1, 0
Let k(x) be the third derivative of 0*x + 1/1680*x**8 + 1/525*x**7 - 1/120*x**4 + 0*x**6 - 1/150*x**5 + 5*x**2 + 0*x**3 + 0. Determine h so that k(h) = 0.
-1, 0, 1
Let o(f) be the second derivative of 7*f**7/2 + 77*f**6/10 - 51*f**5/20 - 73*f**4/4 - 16*f**3 - 6*f**2 + 4*f. Determine a so that o(a) = 0.
-1, -2/7, 1
Factor 3*b**3 - 3/5*b**4 - 27/5*b**2 + 21/5*b - 6/5.
-3*(b - 2)*(b - 1)**3/5
Let m = -9 + 12. Suppose w - m*w = 0. Solve 0*k + 0 + 0*k**2 + w*k**3 - 1/2*k**4 = 0 for k.
0
Suppose -35 = -2*n + 5*s, 0 = 4*s + 20. Let b(c) be the first derivative of c**4 + 0*c**3 - 2*c**2 + 2 - 2/5*c**n + 2*c. Determine l, given that b(l) = 0.
-1, 1
Let r(j) be the first derivative of -1 - 2/27*j**3 - 8/9*j + 4/9*j**2. Factor r(f).
-2*(f - 2)**2/9
Let g = 3/1285 - -23097/14135. Determine x, given that 12/11*x - g - 2/11*x**2 = 0.
3
Let q = 2/807 + 11288/4035. Suppose -4/5*d**3 - 2*d**4 + 0*d + q*d**5 + 0*d**2 + 0 = 0. What is d?
-2/7, 0, 1
Let f be 2456/12*(-3)/(-5). Let v = -122 + f. Suppose v + 14/5*t**3 + 6/5*t - 24/5*t**2 = 0. Calculate t.
-2/7, 1
Let y(h) be the second derivative of -h**4/30 - 8*h**3/15 - 16*h**2/5 - 2*h. Factor y(d).
-2*(d + 4)**2/5
Suppose 9*q + 8 = -2*x + 7*q, -5*x - 2*q - 8 = 0. What is z in -1/5*z**3 - 4/5*z + 4/5*z**2 + x = 0?
0, 2
Let b(h) be the second derivative of h**6/180 + h**5/60 - h**4/6 + h**3/2 + 3*h. Let v(a) be the second derivative of b(a). Find y, given that v(y) = 0.
-2, 1
Let -10*l**3 + 12*l**4 - 15*l**5 + 10*l**3 + 3*l**3 = 0. What is l?
-1/5, 0, 1
Suppose 4*p - 6 = 4*u + 2, 6 = 3*u. Let l(v) be the first derivative of 2/5*v**5 + 0*v**2 + 0*v + 3 - 1/2*v**p + 0*v**3. Factor l(j).
2*j**3*(j - 1)
Let k(y) = -50*y + 120. Let i(d) = d**2 - 50*d + 121. Let n(l) = -5*i(l) + 4*k(l). Suppose n(q) = 0. Calculate q.
5
Let v(j) = 3*j**2 + 39*j + 9. Let o(u) = -u**2 - 10*u - 2. Let f(x) = -9*o(x) - 2*v(x). Factor f(y).
3*y*(y + 4)
Let x = 103/24 - 21/8. Suppose -x*c + 1/3 - c**3 + 7/3*c**2 = 0. Calculate c.
1/3, 1
Let n(o) = -o**2 + 5*o - 2. Let m be n(3). Factor 0*v**2 + v + 5*v**3 + 11*v**4 - 10*v**m - 2*v**3 + 3*v**2.
v*(v + 1)**3
Let h = 278/335 - 2/67. Let p(z) = -6*z - 40. Let t be p(-7). Find n such that 2/5*n**t - 2/5*n - h = 0.
-1, 2
Factor 2/9*m + 2/9*m**2 + 0.
2*m*(m + 1)/9
Let d(z) be the third derivative of 2*z**7/105 + z**6/10 + z**5/15 - z**4/2 - 4*z**3/3 - 5*z**2. Determine a so that d(a) = 0.
-2, -1, 1
Let t be 6/2 - (4 - 4/4). Suppose 0*x**2 + t + 0*x + 2/3*x**4 + 0*x**3 - 2/3*x**5 = 0. Calculate x.
0, 1
Let r be (-54)/(-12)*(-8)/(-18). Let i(p) be the third derivative of -p**r - 1/20*p**5 + 1/2*p**3 + 0 + 0*p + 0*p**4. Factor i(m).
-3*(m - 1)*(m + 1)
Factor 10 + 125/4*a**3 + 75/2*a**2 - 45*a.
5*(a + 2)*(5*a - 2)**2/4
Let m(z) be the third derivative of -z**8/1344 + z**7/140 - 13*z**6/480 + z**5/20 - z**4/24 + 7*z**2. Find y such that m(y) = 0.
0, 1, 2
Let a(s) = 5*s**4 + 3*s**3 - 7*s**2 - 7*s - 2. Let u(t) = 15*t**4 + 8*t**3 - 22*t**2 - 22*t - 7. Let i(c) = -7*a(c) + 2*u(c). Factor i(y).
-5*y*(y - 1)*(y + 1)**2
Factor 2/3*b + 4/3 - 2/3*b**2.
-2*(b - 2)*(b + 1)/3
Let n be 152/57*2/16. Let c(x) be the second derivative of n*x**4 + x + 0 + 0*x**3 - 1/15*x**6 + 0*x**5 - x**2. Determine h, given that c(h) = 0.
-1, 1
Let x(w) be the second derivative of -w**5/30 - w**4/9 + w**3/9 + 2*w**2/3 + 3*w + 3. Factor x(m).
-2*(m - 1)*(m + 1)*(m + 2)/3
Let h be -1*4*1/(-1). Factor -7*w**2 - 5*w + 2*w**3 - 5*w + 2*w**h - 4 + 0*w**2 + w**2.
2*(w - 2)*(w + 1)**3
Let p = -2 + 5. Let i be (-2 + 2)/p - -2. Factor w**3 - 6*w**2 - 2*w - i*w**3 + 3*w**2.
-w*(w + 1)*(w + 2)
Let s = 224 + -3338/15. Let k = -4/5 + s. Solve -k - 1/3*a**2 - a = 