2/9 - 14/9*b**2 - 2/9*b**n.
-2*(b - 1)*(b + 4)**2/9
Determine m, given that -128/7 - 704/7*m**2 + 400/7*m**3 - 104/7*m**4 + 10/7*m**5 + 544/7*m = 0.
2/5, 2, 4
Let l(q) be the second derivative of 432*q**7/7 + 144*q**6/5 - 324*q**5/5 + 32*q**4 - 23*q**3/3 + q**2 + 71*q. Factor l(z).
2*(z + 1)*(6*z - 1)**4
Factor 3 - 11/9*s**2 + 5/3*s + 1/9*s**3.
(s - 9)*(s - 3)*(s + 1)/9
Solve -1/8*b**5 + 3/8*b - 1/4*b**3 + 1/2*b**4 - 1/2*b**2 + 0 = 0 for b.
-1, 0, 1, 3
Suppose 0 = 5*v + 1 - 16. Solve 7*x**v - 2*x**3 - 28*x**2 - 64*x - 48 - 9*x**3 = 0 for x.
-3, -2
Let i(t) = 13*t**5 + 8*t**4 + 9*t**3 - 17*t**2 - 13*t - 9. Let s(l) = -3*l**5 - 2*l**4 - 2*l**3 + 4*l**2 + 3*l + 2. Let m(a) = -2*i(a) - 9*s(a). Factor m(g).
g*(g - 1)*(g + 1)**3
Let d(x) be the first derivative of -112/3*x**3 + 8*x - 6*x**2 - 112/5*x**5 + 2 + 57*x**4. Solve d(a) = 0.
-1/4, 2/7, 1
Suppose -3*w = -16*w - 780. Let b be 10/(-16)*w/150. Find p, given that -b*p**2 - 4 + 2*p = 0.
4
Let w be 1/(-5)*1 - (-3306)/30. Let a = -1428/13 + w. Factor a*z**2 - 2/13*z - 4/13.
2*(z - 2)*(z + 1)/13
Let z(l) = -3*l**3 - 76*l**2 + 50*l - 49. Let o be z(-26). Let q(r) be the first derivative of 0*r**2 + 3/4*r**4 - 3/5*r**5 - 9 + 0*r**o + 0*r. Factor q(n).
-3*n**3*(n - 1)
Let x be 8/(-2)*5/(-10). Factor -6*b**x - 16*b - 3 - 13 + 2*b**2 + 4.
-4*(b + 1)*(b + 3)
Let o(s) be the first derivative of s**5/25 - 2*s**4/5 + 7*s**3/5 - 9*s**2/5 - 505. Factor o(a).
a*(a - 3)**2*(a - 2)/5
Let o be ((-1104)/14)/(((-8595)/(-6))/(-5)). Let j = o - -2/191. Factor -6/7*n**2 - 6/7*n - j*n**3 - 2/7.
-2*(n + 1)**3/7
Determine n, given that 8/7*n**3 - 2/7*n**4 + 16/7 - 4*n + 6/7*n**2 = 0.
-2, 1, 4
Let g = -6665/6 - -1111. Let q(d) be the first derivative of 0*d - 1/8*d**4 + 1/2*d**2 + g*d**3 - 6. Factor q(z).
-z*(z - 2)*(z + 1)/2
Factor 51*d**3 - 3*d**4 + 16*d**4 - 7*d + 33*d**4 - 2 - 19*d**4 + 19*d**2.
(d + 1)**2*(3*d - 1)*(9*d + 2)
Suppose 0*a - a = -3. Suppose a*z = 9, 4*z = 2*j + 1 + 3. Factor -32*w**j + 95*w**4 - 6*w**2 - 3*w**3 - 21 + 21.
3*w**2*(3*w - 1)*(7*w + 2)
Let -3/5*o + 1/10*o**2 + 4/5 = 0. Calculate o.
2, 4
Let j(a) = -a**3 + 5*a + 8. Let y(n) = n**2 + 1. Let f = -78 - -83. Let m(i) = f*j(i) - 10*y(i). Factor m(c).
-5*(c - 2)*(c + 1)*(c + 3)
Factor 48 + 18*v + 20*v - 21*v - 2*v**2 + 3*v.
-2*(v - 12)*(v + 2)
Let j(u) = -2*u**3 - 6*u**2 + 9*u + 6. Let d be j(-4). Suppose -4*q = -5*r + d*r + 20, 3*q = -2*r - 15. Solve r - 4/3*i**2 - 2/3*i**3 - 2/3*i = 0.
-1, 0
Let m = -347 - -3823/11. Factor -2/11*z**2 - m*z - 4/11.
-2*(z + 1)*(z + 2)/11
Let s(n) = n - 10. Let y be s(7). Let z be -1 - (-1 - (y - -3)). Factor 2*x**2 - 9*x**3 + 0*x + 3*x + z*x**2 + 4*x**2.
-3*x*(x - 1)*(3*x + 1)
Suppose -2*b - 3*q + 24 = 0, 3*b + 1219*q - 15 = 1218*q. Determine k so that -3*k**2 - 1/3*k**4 - 2*k**b - 4/3*k + 0 = 0.
-4, -1, 0
Let m(h) = 141*h + 1554. Let j be m(-11). Factor -2/9*k**2 + 2/9 + 2/9*k - 2/9*k**j.
-2*(k - 1)*(k + 1)**2/9
Factor 8/9*g + 4/9*g**2 + 0.
4*g*(g + 2)/9
Let w be ((-5)/(-2))/(5/10). Suppose 13*r = w*r + 152. Factor 15 + 4*k**2 - 1 - r*k + 2 - k.
4*(k - 4)*(k - 1)
Let j(g) be the second derivative of g**6/120 - g**5/30 - g**4/24 + g**3/3 - 3*g**2/2 - 8*g. Let c(t) be the first derivative of j(t). Factor c(x).
(x - 2)*(x - 1)*(x + 1)
Suppose i = 4*i - 12. Let b(v) be the first derivative of 1/2*v**4 + 4/3*v**3 + 6 - v**2 - i*v. Suppose b(r) = 0. What is r?
-2, -1, 1
Suppose -3*v = c - 4, -3 = -c - 8. Solve -7*y + 2 + y**2 - 3*y**4 - 2*y**3 + 8*y**2 + 4*y**4 - 3*y**v = 0 for y.
1, 2
Let a = -28 + 16. Let b = a + 16. Factor -b - 3 - 1 + 4*m**2 + 4*m.
4*(m - 1)*(m + 2)
Suppose -16*t + 12/7*t**2 + 376/7*t**3 - 230/7*t**4 - 24/7*t**5 - 22/7 = 0. Calculate t.
-11, -1/3, -1/4, 1
Factor -2187*m + 5*m**2 + 4340*m - 2233*m + 140.
5*(m - 14)*(m - 2)
Factor 0*z + 0*z**2 + 0 + 0*z**4 + 3/2*z**3 - 3/2*z**5.
-3*z**3*(z - 1)*(z + 1)/2
Let p(h) be the third derivative of 1/60*h**5 - 2/3*h**3 + 0*h + 0 - 1/8*h**4 - 3*h**2. Factor p(f).
(f - 4)*(f + 1)
Suppose 17 = -5*a - 3*z, -2*a + z + 4*z = 13. Let s = 94 + -89. Let t(p) = -p**2 - 2*p. Let f(l) = -l**2 - l. Let m(o) = a*t(o) + s*f(o). Factor m(g).
-g*(g - 3)
Let 10/11*s**2 - 2/11*s**4 + 6/11*s + 2/11*s**3 + 0 = 0. What is s?
-1, 0, 3
Suppose -4*c - 32 = -2*c. Let n = c + 19. Solve -9*k**2 - 5*k - 2*k - n - 3*k**3 - 2*k = 0.
-1
Let k(g) = -g**3 + 2*g**2 + 1. Let i(c) = -3*c**4 - 16*c**3 + 11*c**2 + 12*c + 4. Let b(y) = i(y) - 4*k(y). Find a such that b(a) = 0.
-4, -1, 0, 1
Factor -9*m - 16*m**2 - 5*m - 2*m**3 + 2938 - 4*m - 2902.
-2*(m - 1)*(m + 3)*(m + 6)
Suppose 4 = 3*u - 2. Let a(t) = 1108*t - 3324. Let c be a(3). Factor -1/6*y**3 + 0*y**u + c*y + 0.
-y**3/6
Let j(u) = -u**4 - 3*u**3 - u**2 + 3*u. Let p(f) = -4*f**4 - 10*f**3 - 3*f**2 + 10*f. Let a(o) = -7*j(o) + 2*p(o). Let a(i) = 0. Calculate i.
-1, 0, 1
Let c = 2 - 5/3. Let h(p) be the first derivative of -c*p**2 - 1/3*p - 1/9*p**3 - 1. Solve h(j) = 0 for j.
-1
Let v = 669 - 669. Let h(j) be the third derivative of v - 4*j**2 + 0*j + 0*j**3 + 1/36*j**4 + 1/180*j**5. Factor h(y).
y*(y + 2)/3
Let b(j) = 35*j**2 - 124*j - 26. Let l(p) = 16*p**2 - 62*p - 12. Let r(k) = 6*b(k) - 13*l(k). Solve r(z) = 0.
-31, 0
Let s be 180/87 - (-2)/(-29). Factor -5/2*w**s + 1/2*w**3 + 9/2 + 3/2*w.
(w - 3)**2*(w + 1)/2
Let f be (-1)/(10/(-4))*45/36. Factor 1/2*l**3 + f*l**4 - 1/2*l**2 - 1/2*l + 0.
l*(l - 1)*(l + 1)**2/2
Let y(l) = -50*l**2 + 1310*l + 4625. Let z(c) = 3*c**2 - 77*c - 272. Let s(v) = 2*y(v) + 35*z(v). Determine w, given that s(w) = 0.
-3, 18
Suppose 128 = -18*r + 14*r. Let s be r/((-5)/(15/14)). Suppose -6*t**3 - s*t - 8/7 - 8/7*t**4 - 74/7*t**2 = 0. Calculate t.
-2, -1, -1/4
Solve g**4 + 517*g**2 - 5*g**4 + 2*g**5 + 0 - 509*g**2 + 2*g - 4*g**3 - 4 = 0.
-1, 1, 2
Let v(u) be the first derivative of -u**4/3 - 10*u**3/3 + 12*u**2 - 31*u - 40. Let a(x) be the first derivative of v(x). Factor a(z).
-4*(z - 1)*(z + 6)
Let j be -6*(1 - 3)/4. Let b(l) be the first derivative of 8*l + 2 - 4*l + 5*l - 3*l**j - 4 - 12*l**2. Factor b(h).
-3*(h + 3)*(3*h - 1)
Let 12/5*q**2 + 0 + 6/5*q**3 - 48/5*q = 0. What is q?
-4, 0, 2
Let w = -2012 + 2012. Let v(x) be the third derivative of w*x + 0*x**3 + 1/140*x**5 + 0*x**4 + 9*x**2 - 1/490*x**7 + 0*x**6 + 0. Factor v(y).
-3*y**2*(y - 1)*(y + 1)/7
Let m(d) be the first derivative of -d**3 - 23*d**2/2 + 17*d - 10. Let a(v) = v**2 + 8*v - 6. Let k(t) = -17*a(t) - 6*m(t). Determine f so that k(f) = 0.
-2, 0
Let t = 45/94 - -1/47. Let s(q) be the third derivative of -1/20*q**5 + 0*q + 0 + 0*q**4 + t*q**3 - 3*q**2. Factor s(j).
-3*(j - 1)*(j + 1)
Let n be 488/114 - 310/93. Find h, given that -n - 2/19*h**3 + 10/19*h**2 - 6/19*h = 0.
-1, 3
Let b be -4 - -3*40/25. Factor 0 + 2/5*d**3 - 2/5*d**4 + b*d**2 + 0*d.
-2*d**2*(d - 2)*(d + 1)/5
What is n in -1/8*n**3 - 1/4*n**2 + 1/4*n**4 + 0*n + 1/8*n**5 + 0 = 0?
-2, -1, 0, 1
Suppose 3*y = -3*y + 6. Let w be (-198)/(-110) - y/(-5). Solve 0 - 30/7*s**3 - 8/7*s**5 - 2/7*s - 26/7*s**4 - w*s**2 = 0.
-1, -1/4, 0
Let w(x) be the third derivative of 2/45*x**5 - 3*x**2 + 0*x - 1/90*x**6 + 5/18*x**4 + 0 - 4/3*x**3. Factor w(u).
-4*(u - 3)*(u - 1)*(u + 2)/3
Factor -2/5*v**4 + 0 + 8/5*v + 2*v**3 - 16/5*v**2.
-2*v*(v - 2)**2*(v - 1)/5
Let h(x) be the second derivative of -x**7/7140 + x**5/1020 - 13*x**3/6 - 4*x. Let l(d) be the second derivative of h(d). Factor l(v).
-2*v*(v - 1)*(v + 1)/17
Let y(j) be the first derivative of j**4/8 + j**3/3 + j**2/4 - 134. Factor y(o).
o*(o + 1)**2/2
Factor -3*o**3 + 24*o**4 + 3*o - 40*o**4 + 19*o**4 - 3*o**2 + 0*o**2.
3*o*(o - 1)**2*(o + 1)
Let v be ((-4)/(-1) - (2 + -1)) + 2. Factor v*w**2 - 39 + 78 - 54 + 10*w.
5*(w - 1)*(w + 3)
Determine v so that -20*v + 184/3*v**2 - 64*v**3 + 24*v**4 - 4/3*v**5 + 0 = 0.
0, 1, 15
Factor 0 + 34*c**2 + 26/3*c - 8/3*c**3.
-2*c*(c - 13)*(4*c + 1)/3
Suppose -4*o - v = -84, o + 3*o - v - 92 = 0. Suppose -3*c - o = -61. Factor 0 + 0*w**3 + 2*w**3 - 3 - c - 8*w + 4*w**2.
2*(w - 2)*(w + 2)**2
Factor 960*h - 5*h**3 + 9*h**3 + h**3 + 2560 - 13*h**2 + 133*h**2.
5*(h + 8)**3
Let d(a) be the second derivative of -a**5/4 + 45*a**4/4 - 140*a**3 - 490*a**2 - 66*a. Let d(j) = 0. Calculate j.
-1, 14
Suppose -4232/5 - 2/5*t**2 + 184/5*t = 0. Calculate t.
46
Let o(m) be the second derivative of m**3 + 2*m + 5/2*m**2 + 1/12*m**4