(v) = -v**3 + 7*v**2 + 11*v - 10. Let g be z(8). Suppose -32 = -4*x - 5*l, 7*l - g = 2*x + 2*l. Determine q so that 2*q + 1/6*q**x + 4/3 + q**2 = 0.
-2
Let m be (8/1 + -3)/(-1). Let k(f) = -f + 7. Let i be k(m). What is g in 12 + g**2 - i = 0?
0
Let z be 6*(87/(-9) - -10). Let n(y) be the second derivative of -1/160*y**5 + 1/16*y**z - 8*y + 1/48*y**3 - 1/96*y**4 + 0. Factor n(d).
-(d - 1)*(d + 1)**2/8
What is f in -31*f**2 + 4*f + 15*f**2 + 2 - 6 + 15*f**2 = 0?
2
Let n(y) be the second derivative of -2/3*y**3 + 1/3*y**4 + 1/120*y**6 - 1/12*y**5 + 0 - 2*y + 2*y**2. Let t(l) be the first derivative of n(l). Factor t(d).
(d - 2)**2*(d - 1)
Let w(x) = -46*x**4 - 10*x**3 + 26*x**2 - 44*x - 22. Let y(t) = 2*t**4 + t**3 - 2*t**2 + 2*t + 1. Let r(h) = 2*w(h) + 44*y(h). Determine d, given that r(d) = 0.
0, 3
Solve 0*l**2 - 12/5*l**3 + 0*l + 3/5*l**5 + 0 + 9/5*l**4 = 0.
-4, 0, 1
Suppose -1/2*o**3 + 9/2*o**2 + 9/2*o - 81/2 = 0. Calculate o.
-3, 3, 9
Solve -20/13*u - 2/13*u**2 + 112/13 = 0 for u.
-14, 4
Let t(q) be the third derivative of -q**8/1344 + q**7/126 - 11*q**4/12 + 3*q**2. Let f(y) be the second derivative of t(y). Solve f(m) = 0 for m.
0, 4
Let t be ((-26)/3640*-35)/((-33)/(-432)). Let -6/11*h**2 - t + 42/11*h = 0. Calculate h.
1, 6
Let h(q) = -4*q**3 - 4*q**2 + 2*q. Let d(a) = -3*a**3 - 3*a**2 + 2*a. Let k be (16 + -17)/(1/(-4)). Let w(l) = k*h(l) - 6*d(l). Factor w(x).
2*x*(x - 1)*(x + 2)
Let y(b) = -b**3 - 2*b**2 + 1. Let d(s) = s**4 - 7*s**3 - 20*s**2 - 4*s + 8. Let g(r) = -2*d(r) + 22*y(r). Factor g(c).
-2*(c - 1)*(c + 1)**2*(c + 3)
Let g(v) be the second derivative of v**5/4 + 185*v**4/12 + 85*v**3/3 - 180*v**2 + 863*v. Let g(z) = 0. Calculate z.
-36, -2, 1
Let c(x) = -5*x**2 + x + 3. Let k be 4 - ((-28 - -2) + 2). Let p = k + -18. Let y(z) = -16*z**2 + 4*z + 10. Let f(m) = p*c(m) - 3*y(m). Let f(a) = 0. What is a?
-1, 0
Let y = 747 + -737. Let m(c) be the first derivative of 1/3*c**3 - c**2 - y + c. Solve m(u) = 0 for u.
1
Let i(c) = 4*c**2 - 4*c**2 + 6*c**2 - 13*c + c**2. Let l(a) = -4*a**2 + 7*a. Let n(q) = 3*i(q) + 5*l(q). Let n(r) = 0. Calculate r.
0, 4
Let j(c) be the first derivative of 2*c**5/35 + 3*c**4/14 - 2*c**3/3 - 15*c**2/7 + 36*c/7 + 567. Solve j(f) = 0 for f.
-3, 1, 2
Let d(z) be the third derivative of -z**8/224 - z**7/35 + 9*z**6/40 + 27*z**5/10 + 135*z**4/16 + 198*z**2. Factor d(c).
-3*c*(c - 5)*(c + 3)**3/2
Suppose 110*a = 111*a - 3. Find r such that 20*r + 3*r - 3*r**a + 8 + 6 + 10*r**2 - 4 = 0.
-1, -2/3, 5
Let g(w) be the third derivative of w**5/10 - 4*w**4/3 + 11*w**3/3 - 24*w**2. Let l(s) = -s**2 + 1. Let r(o) = -g(o) + 6*l(o). Determine k, given that r(k) = 0.
2/3, 2
Let v(m) be the first derivative of m**7/3360 - m**6/720 + m**5/480 + 4*m**3/3 - 27. Let o(a) be the third derivative of v(a). Factor o(j).
j*(j - 1)**2/4
Let t = 14846 - 14843. Suppose 4/5*s**2 - 6/5*s**t + 2/5*s**4 + 0*s + 0 = 0. What is s?
0, 1, 2
Find k, given that 1/3*k**2 - 31*k + 0 = 0.
0, 93
Let z = -4128 - -4130. Factor 0*k - 2/11 + 2/11*k**z.
2*(k - 1)*(k + 1)/11
Let n(o) = -5*o - 26. Let w be n(-6). Suppose 12*z - 10*z = w. Solve -6/13*q + 2/13*q**3 + 4/13*q**z + 0 = 0 for q.
-3, 0, 1
Let o(w) be the second derivative of 3*w**6/50 - 3*w**5/100 - 2*w**4/5 - 2*w**3/5 - 50*w - 2. Let o(k) = 0. Calculate k.
-1, -2/3, 0, 2
Let f = -108/5 + 7781/360. Let i(w) be the second derivative of 0 + 0*w**2 + 1/36*w**3 + f*w**4 + 4*w. Let i(u) = 0. What is u?
-1, 0
Let k(f) = f**3 + 4*f**2 + 2*f + 2. Let q = -30 + 32. Let g(b) = -6*b - b - 9 - 17*b**2 + q - 5*b**3 - b. Let m(h) = 6*g(h) + 22*k(h). Factor m(a).
-2*(a + 1)**2*(4*a - 1)
Let x(g) = 11*g + 19. Let o be x(23). Let n = o + -812/3. Find s such that -n*s**4 + 4*s**2 + 8/3*s + 0 + 0*s**3 = 0.
-1, 0, 2
Suppose 0 = -l - 0*i + 3*i + 8, -3 = 3*i. Let f(s) be the second derivative of 0*s**2 - 3*s + 0 + 3/40*s**l - 1/8*s**4 + 0*s**3. Factor f(j).
3*j**2*(j - 1)/2
Let j = 10 - -2. Let r = -9 + j. Solve -9*a**3 + 3*a + 3 - 2*a**2 + 6*a**r - a**2 = 0 for a.
-1, 1
Let u(x) be the third derivative of x**9/10584 - x**8/5880 - x**7/2940 + x**6/1260 - 11*x**3/6 - 14*x**2. Let m(a) be the first derivative of u(a). Factor m(p).
2*p**2*(p - 1)**2*(p + 1)/7
Let p(z) be the second derivative of z**6/30 - 9*z**5/20 + 29*z**4/12 - 13*z**3/2 + 9*z**2 - 4*z + 85. Let p(l) = 0. Calculate l.
1, 2, 3
Let q be 18*(1 - 400/528). Factor 0 + 18/11*h**3 - q*h - 60/11*h**2.
6*h*(h - 4)*(3*h + 2)/11
Let m(h) = 9*h**2 + 5*h. Let n(q) = -q**2. Suppose -2*t = 10, 0*b = 5*b - 5*t - 20. Let g(f) = b*m(f) - 4*n(f). Factor g(v).
-5*v*(v + 1)
Let r = 316/185 - 4/37. Let d(u) be the first derivative of 2*u**6 + 0*u**3 - r*u**5 + 0*u**2 + 0*u + 0*u**4 + 1. Factor d(k).
4*k**4*(3*k - 2)
Let x(q) be the first derivative of q**6/2 - 23*q**5/5 + 17*q**4/2 + 38*q**3/3 - 37*q**2/2 - 15*q - 334. Determine u so that x(u) = 0.
-1, -1/3, 1, 3, 5
Determine v so that 2/9*v**2 - 50/9 - 16/3*v = 0.
-1, 25
Suppose 13*h - 15 = 10*h. Let v be 42/70 - 3/h. Factor -f**3 + 2*f**2 + 2*f - f**2 + v*f**3.
-f*(f - 2)*(f + 1)
Let r(z) = -z**2 - 17*z + 5. Suppose 0 = 3*n + p + 1 - 4, 5*p = -2*n - 11. Let h(u) = -16 - 23 + 36 + u**n + 9*u. Let d(y) = -5*h(y) - 3*r(y). Factor d(b).
-2*b*(b - 3)
Determine v so that 512/3 + 22/3*v**4 - 896/3*v + 584/3*v**2 - 172/3*v**3 - 1/3*v**5 = 0.
2, 8
Let q be 35/(4410/(-1806))*(-9)/7. Factor -q*g - 27/7*g**2 + 30/7.
-3*(g + 5)*(9*g - 2)/7
Suppose u = 3*q - 4, -u + 4*u - 10 = -2*q. Suppose -4*w + 16 = u*y, 3*y + 4 = 8*y - 2*w. Factor -3*k**2 + 6*k**4 - 15*k**3 + 10*k**2 - k**y.
3*k**2*(k - 2)*(2*k - 1)
Let i(k) be the second derivative of -k**6/1080 - k**5/270 - 9*k**2/2 + 23*k. Let b(c) be the first derivative of i(c). Solve b(r) = 0 for r.
-2, 0
Let o(p) be the first derivative of -2*p**6/3 - 44*p**5 - 1210*p**4 - 53240*p**3/3 - 146410*p**2 - 644204*p - 68. Factor o(f).
-4*(f + 11)**5
Factor -3/4*a**2 + 0 + 1/8*a**3 - 7/8*a.
a*(a - 7)*(a + 1)/8
Let a(m) = 3*m**3 - 64*m**2 - 61*m + 14. Let j(q) = 10*q**3 - 194*q**2 - 182*q + 44. Let p(f) = 11*a(f) - 4*j(f). Suppose p(i) = 0. Calculate i.
-1, 2/7, 11
Let f(l) = 2*l - 3. Let b = 6 + -3. Let n be f(b). Factor -11*m - 2*m**2 + 8*m - 4*m**2 - n*m**3.
-3*m*(m + 1)**2
Suppose 5*g - 31 = -7*o, -3*g - 7 = -5*o + g. Factor 1/11 + 2/11*b**5 + 8/11*b**o - 2/11*b**2 - 7/11*b**4 - 2/11*b.
(b - 1)**4*(2*b + 1)/11
Let t(y) = -6*y**2 - 95*y + 326. Let c(i) = 2*i**2 - i - 2. Let j(f) = -c(f) - t(f). Determine w, given that j(w) = 0.
-27, 3
Let d(y) be the second derivative of y**4/22 + 102*y**3/11 + 7803*y**2/11 - 172*y. Factor d(u).
6*(u + 51)**2/11
Let a(h) = h**3 - 11*h**2 - 11*h - 4. Let y be a(12). Factor -12*o + 4*o**3 - y - 43*o**2 + 43*o**2.
4*(o - 2)*(o + 1)**2
Let w = 657 - 651. Let g(m) be the second derivative of 0 + 4*m + 1/14*m**7 - 3/10*m**5 - 1/10*m**w + 1/2*m**4 + 1/2*m**3 - 3/2*m**2. Factor g(y).
3*(y - 1)**3*(y + 1)**2
Let t be (1 - 14/9)/(105/(-126)). Let m(x) be the first derivative of -1 - t*x**2 - 5/3*x**5 + 0*x - 8/3*x**3 - 15/4*x**4. Let m(o) = 0. What is o?
-1, -2/5, 0
Let h(a) be the first derivative of a**6/1980 + a**5/330 + a**4/132 - 4*a**3/3 - 36. Let n(q) be the third derivative of h(q). What is y in n(y) = 0?
-1
Let p(z) be the first derivative of -z**5/70 + z**4/7 - 3*z**3/7 + z + 1. Let h(o) be the first derivative of p(o). Solve h(w) = 0.
0, 3
Suppose 144 = -3*w + f, -4*w = -2*f + 159 + 33. Let a be (-1)/(-6)*w/(-36). Factor 4/3*o**2 - a - 14/3*o**4 - 2*o**5 + 2/3*o - 20/9*o**3.
-2*(o + 1)**3*(3*o - 1)**2/9
Solve 641*v - v**3 - 493*v - 29*v**2 - 395*v - 507 = 0.
-13, -3
Suppose 5*g + 680 = 4*r, -4*r = 11 + 9. Let m be (g/(-9))/7 - 2. Suppose 16/9*z**3 + m*z**4 + 64/9*z + 16/3*z**2 + 32/9 = 0. Calculate z.
-2
Suppose -19 = 4*m - 51. Factor 0*g**2 + 20 + m*g**2 - 20*g - 3*g**2.
5*(g - 2)**2
Let a(o) be the second derivative of o**6/6 - o**5/2 - 5*o**4/12 + 5*o**3/3 + 7*o - 23. Suppose a(j) = 0. Calculate j.
-1, 0, 1, 2
Let h = -389 - -389. Let d(c) be the second derivative of -c**2 + h - 1/30*c**6 - 7/6*c**3 - 1/4*c**5 - 3/4*c**4 + 7*c. Factor d(a).
-(a + 1)**3*(a + 2)
Suppose 0 = 2*n - m + 1, 12 = -5*n - 2*m - 4. Let s be (2/24)/(n - 7/(-3)). Factor -s*g**3 + 1/2*g**2 - 1/2 + 1/4*g.
-(g - 2)*(g - 1)*(g + 1)/4
Solve 5*f**4 - 12*f**3 + 10*f + 16*f**5 - 55*f**2 