e -5*u + 5*w + 30 = 0, -2*u - 5*w = 2 - 0. Let p(v) = v**2 + 3*v**2 - 2*v**2 - 4 - 6*v. Let a(n) = -n - 1. Let z(h) = u*a(h) - p(h). Factor z(x).
-2*x*(x - 1)
Let t = -104/5 + 21. Let m(b) be the first derivative of -1/6*b**6 + 1 - 1/3*b**3 + 1/4*b**4 + t*b**5 + 0*b + 0*b**2. Let m(w) = 0. What is w?
-1, 0, 1
Let k(p) be the second derivative of -3*p + p**3 + 0 + 5/14*p**7 - 21/20*p**5 + 0*p**2 - 3/4*p**4 + 3/10*p**6. What is w in k(w) = 0?
-1, 0, 2/5, 1
Factor 0*z**5 - 56*z**3 + 0*z + 46*z**3 + 5*z + 5*z**5.
5*z*(z - 1)**2*(z + 1)**2
Let s(n) = -5*n - 2. Let y be s(-2). Factor -4*k**5 - 9*k - 12*k**4 + 4 - y*k**3 + 0*k**2 + 11*k + 10*k + 8*k**2.
-4*(k - 1)*(k + 1)**4
Let o(t) = 3*t**2 + 6*t + 9. Let r(g) = -8*g**2 - 17*g - 26. Let y(q) = 17*o(q) + 6*r(q). Factor y(m).
3*(m - 1)*(m + 1)
Let l(d) be the first derivative of 0*d**3 + 1/240*d**5 - 1/2*d**2 + 0*d**4 + 0*d - 2. Let t(s) be the second derivative of l(s). Solve t(w) = 0 for w.
0
Suppose 288*y + 24*y**3 + 216 + 132*y**2 + 3/2*y**4 = 0. What is y?
-6, -2
Let y(c) be the second derivative of c**6/6 + c**5/2 - 5*c**4/4 - 10*c**3/3 + 10*c**2 - 19*c. Determine r, given that y(r) = 0.
-2, 1
Suppose -27*v + 14 = -40. Let 4/5*j**v + 4/5*j**3 + 0*j + 0 + 1/5*j**4 = 0. What is j?
-2, 0
Let c = -711 - -1423/2. Determine g so that -1 + g**2 - 1/2*g + c*g**3 = 0.
-2, -1, 1
Suppose -8 = -0*m - 2*m. Let k(w) be the first derivative of 0*w**2 + 0*w + 2/35*w**5 - 1/7*w**m + 2/21*w**3 - 2. Factor k(a).
2*a**2*(a - 1)**2/7
Let g = 184 - 1286/7. Factor -12/7*y**3 + 0 - g*y - 8/7*y**4 - 8/7*y**2 - 2/7*y**5.
-2*y*(y + 1)**4/7
Let b = -9407 - -46642/5. Let u = b - -79. Suppose 2/5*m**2 + 0*m + 2/5*m**5 - 2/5*m**3 + 0 - u*m**4 = 0. Calculate m.
-1, 0, 1
Suppose 0 = -5*m + l + 12, 2*m - 5*l = -3*m. Let h be (-1 - -1) + 2/m. Suppose 2/3*t**4 + 0 + 0*t - h*t**2 + 0*t**3 = 0. What is t?
-1, 0, 1
Let x(t) be the third derivative of -t**6/90 - t**5/10 + 2*t**4/3 - 7*t**3/6 - 9*t**2. Let m(u) be the first derivative of x(u). Factor m(q).
-4*(q - 1)*(q + 4)
Suppose c + r + 1 = 4*c, -4*c = 3*r - 10. Let t be (c + 3)*(-1)/(-2). Factor 0*d - 5*d - t*d**3 - 4*d**2 + 2*d + d.
-2*d*(d + 1)**2
Let d(f) = -3*f + 12 + 2*f + f - f. Let p be d(9). Determine k, given that 1 - 2*k**p + k + 5*k**5 - 2*k**2 + 0 - 4*k**5 + k**4 = 0.
-1, 1
Let a = 7/139 - -257/417. Factor -2/3*m - a + 2/3*m**2 + 2/3*m**3.
2*(m - 1)*(m + 1)**2/3
Suppose -2*x - 2*w = -0*x - 12, 5*x - w - 54 = 0. Let t be -6 - (0 + (-58)/4). Find b, given that -2*b**3 - x*b + t*b**2 + 2 = 0.
1/4, 2
Let l(z) = 10*z**3 - 54*z**2 - 26*z + 38. Let m(x) = 9*x**3 - 53*x**2 - 25*x + 37. Let n(v) = 3*l(v) - 2*m(v). Suppose n(b) = 0. Calculate b.
-1, 2/3, 5
Let r(u) = -u**3 + 3*u**2 - u - 2. Let z be r(2). Solve 1/2*q**2 + z*q - 1/2*q**3 + 0 = 0 for q.
0, 1
Solve -2*j**3 - 12*j**4 - 15*j**4 + 26*j**4 = 0 for j.
-2, 0
Let o(p) be the second derivative of -p**4/6 - p**3/3 - p**2 - 9*p. Let z(d) = -10*d**2 - 9*d - 10. Let m(a) = 11*o(a) - 2*z(a). Factor m(n).
-2*(n + 1)**2
Let o(z) = -2*z**2 + 6*z - 4. Let x(i) = -i**2 + 3*i - 2. Let n be 3*(1 - 2)*3. Let y(k) = n*x(k) + 4*o(k). Factor y(j).
(j - 2)*(j - 1)
Let o be -6 + (-23)/(-3) - 1. Solve -o*s**2 + 4/3*s - 2/3 = 0 for s.
1
Let s(r) be the first derivative of -r**4/30 + 2*r**3/15 - 3*r + 3. Let l(d) be the first derivative of s(d). Solve l(y) = 0.
0, 2
Factor 7*h + 7*h**2 - 3*h**2 - 7*h - h**4.
-h**2*(h - 2)*(h + 2)
Let h(n) = -3*n**2 + 2*n + 9. Let j(q) = -3*q**2 + 3*q + 9. Let k(v) = -3*h(v) + 4*j(v). Factor k(z).
-3*(z - 3)*(z + 1)
Factor 6/5*z - 2/5*z**2 + 8/5.
-2*(z - 4)*(z + 1)/5
Let k(s) = s**4 - s**3 + s**2 + s. Let x(u) = 2*u**4 + 4*u**3 - 4*u**2 - 4*u. Let c(q) = -k(q) - x(q). Find j, given that c(j) = 0.
-1, 0, 1
Let q(i) be the third derivative of 3*i**5/130 + 7*i**4/156 - 2*i**3/39 + 6*i**2. Determine n so that q(n) = 0.
-1, 2/9
Let c(d) be the first derivative of d**4/14 - 4*d**3/21 + d**2/7 + 9. Factor c(h).
2*h*(h - 1)**2/7
Let p(y) = -y**2 - y - 1. Suppose -c + 2 = -20. Let r(f) = -9*f**2 - 3*f - 5. Let z(q) = c*p(q) - 2*r(q). Solve z(u) = 0.
-3, -1
Let o(y) = -y**2 - y - 1. Let i(x) = -x**2 - 3*x - 2. Let a(s) = -i(s) + 2*o(s). Let a(g) = 0. What is g?
0, 1
Let h be ((-4)/(-1))/(20 + -10). What is n in -3/5*n + h + 1/5*n**2 = 0?
1, 2
Let n(v) = v**2 + 6*v + 9. Let l be n(-6). Let b be (-2)/l + 20/9. Solve -2/3*o**b - 2*o - 4/3 = 0 for o.
-2, -1
Let m(l) be the first derivative of -2*l - 2/5*l**5 + 4*l**2 + 2*l**4 - 4 - 4*l**3. Factor m(f).
-2*(f - 1)**4
Let w(i) be the first derivative of -2*i**5/55 - 2*i**4/11 - 10*i**3/33 - 2*i**2/11 - 16. Determine f, given that w(f) = 0.
-2, -1, 0
Let a = 13 - 7. Factor -2 + 2*m**2 + 1 + 0 + 5 + a*m.
2*(m + 1)*(m + 2)
Suppose 5 = -n + 2*n. Suppose 5*c - n = 15. Factor c*v**3 + 1 - 2*v**4 + 4*v + 0 + 6*v**2 + 3*v**4.
(v + 1)**4
Factor 1/3*c - 1/3*c**3 - 1/3*c**2 + 1/3.
-(c - 1)*(c + 1)**2/3
Suppose 22 + 32 = 2*t - 3*z, -4*z - 8 = 0. Solve -5*s**3 - 4*s + 12*s**2 - t*s**4 - 16*s**5 + 25*s**3 + 12*s**4 = 0.
-1, 0, 1/4, 1
Let x(c) = 22*c + 28. Let o(k) = -9*k - 11. Let v(m) = -12*o(m) - 5*x(m). Let a be v(-6). Let 2*z**5 + 4*z**4 + 2*z**a - 4*z**4 = 0. What is z?
-1, 0
Let s(g) be the first derivative of g**4/2 - 4*g**3/21 - 5. Factor s(v).
2*v**2*(7*v - 2)/7
Let z(c) be the second derivative of -c**6/60 + c**5/40 + c**4/24 - c**3/12 - 14*c. Factor z(f).
-f*(f - 1)**2*(f + 1)/2
Solve 2/5*n**3 - 2/5*n**2 + 0 + 2/5*n**4 - 2/5*n = 0 for n.
-1, 0, 1
Let d(u) be the second derivative of 39/20*u**5 + 5*u - 10*u**3 + 1/2*u**6 + 0 - 3/2*u**4 + 12*u**2. Let d(m) = 0. What is m?
-2, 2/5, 1
Let z(j) be the second derivative of j**6/5 - 9*j**5/20 - 3*j**4/4 + j**3 - 6*j. Factor z(y).
3*y*(y - 2)*(y + 1)*(2*y - 1)
Let z(t) be the first derivative of t**2 + 1 + 0*t**4 - 1/180*t**5 + 0*t + 1/18*t**3. Let l(s) be the second derivative of z(s). Factor l(o).
-(o - 1)*(o + 1)/3
Let t = 2381/20 - 119. Let p(z) be the third derivative of -1/30*z**6 + 0*z**3 + 0*z - t*z**5 - 4*z**2 + 0 + 1/24*z**4. Factor p(m).
-m*(m + 1)*(4*m - 1)
Let g(o) be the first derivative of o**3/15 + 3*o**2/10 + 2*o/5 - 68. Solve g(r) = 0 for r.
-2, -1
Let -3*a**2 + 0*a - 4*a - 2*a = 0. Calculate a.
-2, 0
Let a be 68/(-10)*(-8 - -3). Let x be (-4)/a + 528/1020. Factor 0 - 4/5*k**2 - x*k**3 - 2/5*k.
-2*k*(k + 1)**2/5
Let v(y) be the third derivative of -y**8/10080 - y**7/6300 - y**5/60 - y**2. Let c(w) be the third derivative of v(w). Let c(u) = 0. Calculate u.
-2/5, 0
Let d be (5 + -11 + 0)/(-3). Factor 1/6*s**d - 1/3*s + 0.
s*(s - 2)/6
Let s(v) be the second derivative of v**4/6 - v**2 + 13*v. What is m in s(m) = 0?
-1, 1
Let -2*f - 3*f**2 + 2*f + 6 - 3*f = 0. Calculate f.
-2, 1
Suppose -z - 4*b + 16 = -1, 5*z - 1 = b. Determine u so that 20*u - 20*u - u**2 + z = 0.
-1, 1
Let u(m) be the third derivative of -m**5/60 - 3*m**4/8 - 3*m**3/2 + m**2. Let x be u(-7). Factor -a**2 + 0*a**4 + 2*a**x - 2*a**5 + a**3 - a**5 + a**4.
-a**2*(a - 1)**2*(a + 1)
Let f(q) be the first derivative of q - 1 - 1/3*q**3 + 0*q**2. Let f(k) = 0. What is k?
-1, 1
Let j(d) be the third derivative of -d**4/24 + d**3 - 2*d**2. Let i be j(3). Determine g, given that -3*g + 4 + 3*g - g**2 - i = 0.
-1, 1
Let a(q) be the third derivative of -q**6/600 + q**5/300 + q**4/15 - 2*q**3/5 + 36*q**2 - 2*q. Let a(d) = 0. Calculate d.
-3, 2
Suppose -11 = -5*v + 4*h, -h = 5*v - 8 - 8. Suppose -5*d = -3*o + 11, 2*o - o + 1 = -3*d. Solve -v*k**2 + k + k**3 - 1 + 0*k + o*k = 0.
1
Let o(h) = h**3 - 2*h + 1. Let x be o(1). Let k(y) be the third derivative of -1/30*y**5 + x*y - 2/3*y**3 + 3*y**2 + 1/4*y**4 + 0. Factor k(v).
-2*(v - 2)*(v - 1)
Solve 8/5*n**5 + 0*n + 6*n**4 + 4*n**2 - 2/5 + 8*n**3 = 0 for n.
-1, 1/4
Let g = -11/15 + 14/15. Factor 2/5*x + 0 + g*x**2.
x*(x + 2)/5
Let k**4 - 4*k**2 + 8/3*k + 2/3*k**3 + 0 - 1/3*k**5 = 0. What is k?
-2, 0, 1, 2
Let c(t) be the first derivative of 3*t**7/70 - t**6/8 + t**5/10 + t**2 + 2. Let k(q) be the second derivative of c(q). Solve k(h) = 0 for h.
0, 2/3, 1
Find g such that 1/3*g**2 - g + 0 = 0.
0, 3
Let r(i) be the first derivative of i**3/3 + 5*i**2/2 + 4*i + 2. Let s be r(-4). Factor s - 1/4*f - 3/4*f**3 + 1/4*f**4 + 3/4*f**2.
f*(f - 1)**3/4
Let m = 7 + -4. Find o such that o**4 - o**5 - 9*o**m + 6*o + 4*o**5 - 5*o*