 Let y(b) = 14 - b - 26 + 11. Let n(r) = g*l(r) + 10*y(r). Factor n(s).
2*(s - 1)**2*(3*s - 1)
Let g be (((-72)/(-20))/6)/((-2)/(-20)). Let r(j) = -j**2 + 2*j + 27. Let m be r(g). Factor -2/11*o**2 + 2/11 + 2/11*o - 2/11*o**m.
-2*(o - 1)*(o + 1)**2/11
Let j(q) = -q**4 + 14*q**3 - 29*q**2 + 21*q. Let m(b) = -b**4 + 13*b**3 - 28*b**2 + 20*b. Let z(d) = -4*j(d) + 5*m(d). Determine p so that z(p) = 0.
0, 1, 4
Let a(c) be the second derivative of c**5/45 + c**4/9 - 2*c**3/3 + 2*c**2 - 21*c. Let u(s) be the first derivative of a(s). Factor u(x).
4*(x - 1)*(x + 3)/3
What is k in 0 - 2/7*k**5 + 0*k + 6/7*k**4 + 2/7*k**3 - 6/7*k**2 = 0?
-1, 0, 1, 3
Let y(x) be the second derivative of x**6/40 - 21*x**5/80 + 9*x**4/8 - 5*x**3/2 + 3*x**2 - 275*x. Factor y(o).
3*(o - 2)**3*(o - 1)/4
Let j be 4/14 + (-209)/(-77). Let m = 14 + -10. Factor 3 + 6*f**3 + f**2 - 2*f**m - 2 - j*f - 3*f**3 + 0*f.
-(f - 1)**2*(f + 1)*(2*f - 1)
Suppose 0 = 5*k + 3*x, 2*k + 1 = -k - 2*x. Let f be 38/42 + (-1)/k. Factor 12/7*b + 4/7*b**2 - 8/7 - 12/7*b**3 + f*b**4.
4*(b - 2)*(b - 1)**2*(b + 1)/7
Let f(q) be the first derivative of -2*q**5/15 - 2*q**4/3 + 14*q**3/9 + 34*q**2/3 + 16*q + 159. Find y, given that f(y) = 0.
-4, -2, -1, 3
Let y(u) be the first derivative of u**5/20 + u**4/2 + 3*u**3/2 - 27*u/4 + 28. What is j in y(j) = 0?
-3, 1
Let t(v) be the second derivative of -v**4/4 - 3*v**3 - 18*v. Suppose t(g) = 0. What is g?
-6, 0
Factor -3/2*y**2 - 27/2*y + 33.
-3*(y - 2)*(y + 11)/2
Let t(x) = 9*x**3 + 27*x**2 - 27*x - 79. Let y be t(-3). Solve 0 + 3/5*z**y + 3/5*z**3 + 0*z - 3/5*z**5 - 3/5*z**4 = 0.
-1, 0, 1
Let c(s) = s**2 - 3*s - 6. Let k be c(4). Let w(o) = o**3 + 3*o**2 - 1. Let x be w(k). Determine i, given that 5 + 4 + 4*i**2 + 6*i - x*i**2 = 0.
-3
Let m(j) be the first derivative of -2*j**3/3 + 7*j**2 - 12*j + 62. Factor m(h).
-2*(h - 6)*(h - 1)
Let c = 226/65 - 18/65. Solve 4/5*f**3 - c*f**2 + 4*f - 8/5 = 0 for f.
1, 2
Suppose 47*q - 5*t = 43*q - 35, 0 = 2*q - 4*t + 28. Factor q - 2/7*v**4 - 18/7*v**2 - 12/7*v**3 - 8/7*v.
-2*v*(v + 1)**2*(v + 4)/7
Let w = -4679/4 + 1170. Determine u so that -1/2 + 1/4*u**2 - w*u = 0.
-1, 2
Let o = 28 - 23. Suppose -7*u + o*u = -6. Let 4*y**u + 4*y**2 - 68 + 0*y**3 + 68 = 0. What is y?
-1, 0
Let a be (-7 - -10) + 1*-8 + 7. Factor 1/5*f + 1/5*f**a + 0.
f*(f + 1)/5
Let u = -22 + 27. Factor -1 + u*f - 3*f**2 + 2*f + 11*f - 26.
-3*(f - 3)**2
Let r be (-38)/4 - (-3)/(-6). Let l = r + 13. Factor -1/7*w**2 + 0*w**l + 1/7*w**4 + 0*w + 0.
w**2*(w - 1)*(w + 1)/7
Let r(w) be the first derivative of w**5/20 + w**4/3 + w**3/2 + 6*w - 19. Let b(y) be the first derivative of r(y). Find x, given that b(x) = 0.
-3, -1, 0
Suppose -m = -0 - 5. Suppose 18*s = -0*s. Factor -1/2*v**3 + 1/4*v**m + 0*v**4 + 0 + s*v**2 + 1/4*v.
v*(v - 1)**2*(v + 1)**2/4
Determine g, given that -21/2*g**2 - 27/2*g + 54 = 0.
-3, 12/7
Let v(g) be the third derivative of -g**8/168 - g**7/35 + g**6/6 - 899*g**2. Factor v(s).
-2*s**3*(s - 2)*(s + 5)
Let t = 28 + -24. Suppose -2 = -5*b + t*b. Find i, given that -18/7*i**b - 22/7*i - 4/7 = 0.
-1, -2/9
Suppose -87 - 5*d**2 - 31308*d**3 - 228 + 31303*d**3 + 45*d + 120*d = 0. Calculate d.
-7, 3
Determine a so that -32*a**2 - 58*a - 88*a**3 - 60*a**2 - 14 - 17*a**4 - 2*a**5 + 20*a**3 - 5*a**4 = 0.
-7, -1
Let o be (70/(-12))/(-7)*(-36)/(-225). Let x(d) be the second derivative of 0*d**5 - o*d**6 + 0*d**2 - 1/21*d**7 + 0 + 0*d**4 - 5*d + 0*d**3. Solve x(w) = 0.
-2, 0
Let s(z) be the third derivative of -1/16*z**5 - 1/16*z**4 - 1/40*z**6 + 0*z**3 + 11*z**2 - 1/280*z**7 + 0 + 0*z. Solve s(o) = 0.
-2, -1, 0
Suppose 90/11*l**3 + 98/11*l**2 + 38/11*l**4 + 48/11*l + 6/11*l**5 + 8/11 = 0. Calculate l.
-2, -1, -1/3
Let s(n) be the first derivative of 3*n**4/20 - 7*n**3/5 + 9*n**2/5 + 47. Factor s(b).
3*b*(b - 6)*(b - 1)/5
Factor -4*x - 4*x**4 - 24*x**2 + 8*x - 20*x**2 + 4*x + 12*x + 28*x**3.
-4*x*(x - 5)*(x - 1)**2
Suppose -13*d - 18 = 8. Let y be 2 - -6 - (2 + 0 - d). Factor -y*k**2 - 8/3 - 6*k - 2/3*k**3.
-2*(k + 1)**2*(k + 4)/3
Let m(u) be the second derivative of -3*u**5/140 + 17*u**4/14 - 289*u**3/14 - 301*u. Let m(j) = 0. What is j?
0, 17
Let w(c) = -c**2 + 6*c - 4. Let k be w(2). Let p(m) be the first derivative of 2/5*m**3 - 2 + 1/10*m**k + 2/5*m**2 + 0*m. Determine q so that p(q) = 0.
-2, -1, 0
Let r(d) be the second derivative of 8*d**6/135 - 22*d**5/45 + 137*d**4/108 - 53*d**3/54 + d**2/3 + 20*d. Factor r(a).
(a - 3)*(a - 2)*(4*a - 1)**2/9
Determine p so that -1/5*p**3 + 6/5*p + 0 + p**2 = 0.
-1, 0, 6
Let q(m) = m**4 + 72*m**3 - 105*m**2 - 178*m. Let z(a) = 25*a**4 + 1585*a**3 - 2310*a**2 - 3915*a. Let j(s) = -45*q(s) + 2*z(s). Factor j(u).
5*u*(u - 12)*(u - 3)*(u + 1)
Let s(a) be the third derivative of -a**6/600 - a**5/100 + a**4/30 + 2*a**3/5 - 2*a**2 + 17*a. Factor s(d).
-(d - 2)*(d + 2)*(d + 3)/5
Let z = -3/146 + 307/730. Determine d so that 2*d**4 + 16/5*d - 2/5*d**2 - z*d**5 - 14/5*d**3 - 8/5 = 0.
-1, 1, 2
Let a(i) = 2*i**2 - 10*i + 7. Let t be a(10). Let k = t + -213/2. Determine o so that -k*o + 1 - 1/2*o**2 = 0.
-2, 1
Let m(u) = u**3 + u**2 + u + 14. Let t be m(0). Let d = -55/4 + t. Determine x so that 1/2*x + 0 + d*x**4 - 3/4*x**2 + 0*x**3 = 0.
-2, 0, 1
Let d(p) be the first derivative of 0*p**4 + 0*p**3 + 1/8*p**6 + 0*p**2 + 1/20*p**5 + 12 + 0*p. Determine i so that d(i) = 0.
-1/3, 0
Let h(x) = -2*x**3 + 25*x**2 - 8*x - 45. Let w be h(12). Let a(i) be the first derivative of -3 - w*i**3 + 3/5*i**5 + 3/2*i**2 - 3/4*i**4 + 6*i. Factor a(m).
3*(m - 2)*(m - 1)*(m + 1)**2
Let s be (3 - 5)/(4/18). Let k = -6 - s. Solve -2*r**2 - 2 + k*r + 3*r**2 - 2*r = 0.
-2, 1
Let m = 0 - 3. Let w be m/(-2)*(-4)/(-3). Factor -g**3 + 3*g + 8*g**w - 2*g**2 + 4*g**3.
3*g*(g + 1)**2
Factor 0 - 58*k**3 - 8*k - 10*k**4 - 208/5*k**2.
-2*k*(k + 5)*(5*k + 2)**2/5
Let r(l) be the first derivative of -4*l**2 + 24*l + 21 + 2/9*l**3. Factor r(b).
2*(b - 6)**2/3
Factor 1/3*w**4 + 10/3*w**3 - 9*w**2 + 0 - 12*w.
w*(w - 3)*(w + 1)*(w + 12)/3
Let d(m) be the first derivative of -3*m**6 + 86*m**5/5 - 257*m**4/8 + 19*m**3 + m**2 - 4*m + 194. Find q such that d(q) = 0.
-2/9, 1/2, 2
Let s(u) be the second derivative of u**6/50 - 9*u**5/100 - 21*u**4/10 - 10*u**3 - 108*u**2/5 - u - 523. Factor s(j).
3*(j - 9)*(j + 2)**3/5
Let x be 4*((-11)/(-30) + -1). Let k = x - -16/5. Factor -k*l**5 + 4/3*l**2 + 2/3*l + 0*l**3 - 4/3*l**4 + 0.
-2*l*(l - 1)*(l + 1)**3/3
Let 0*n**2 - 12/5*n + 4/5*n**3 - 8/5 = 0. Calculate n.
-1, 2
Let h be (360/(-70))/4 + (-2)/(-7). Let r be 1914/(-297) - h*7. Find y, given that r*y**2 - 2/9*y + 1/9*y**4 - 4/9*y**3 + 0 = 0.
0, 1, 2
Let w(s) be the first derivative of -s**6/12 + 3*s**5/5 - 9*s**4/8 - 2*s**3/3 + 3*s**2 + 127. Solve w(m) = 0.
-1, 0, 2, 3
Let j(h) be the third derivative of h**5/15 - h**4/6 - 4*h**3/3 + 26*h**2 + 5*h. Solve j(i) = 0.
-1, 2
Let a(q) be the third derivative of -q**6/180 - 2*q**5/45 - q**4/12 - 4*q**2 + 2*q. Factor a(v).
-2*v*(v + 1)*(v + 3)/3
Suppose 0 = 4*i - 20, 3*i = -2*a - 199 + 218. Suppose 7/6 + 5/6*o**a + 1/6*o**3 - 13/6*o = 0. What is o?
-7, 1
Factor 14/5*z - 8/5*z**2 + 196/15 + 2/15*z**3.
2*(z - 7)**2*(z + 2)/15
Suppose 28 + 23 = 4*y - 3*u, 4*y = u + 41. Factor y*z - 24 - 13*z + 4*z**2 + 0*z.
4*(z - 3)*(z + 2)
Let n(f) be the first derivative of 5*f**4/4 - 10*f**3/3 - 5*f**2/2 + 10*f + 34. Suppose n(m) = 0. What is m?
-1, 1, 2
Find g such that 14*g**3 - 1423*g - 975 - 2577*g + 255*g**4 + 15 - 116*g**2 - 2104*g**2 + 35*g**5 + 126*g**3 = 0.
-4, -2, -2/7, 3
Let m(x) be the first derivative of x**6/5 + 156*x**5/25 + 579*x**4/10 + 624*x**3/5 + 432*x**2/5 - 192. Factor m(b).
6*b*(b + 1)**2*(b + 12)**2/5
Let q = 168 + -191. Let y(g) = -5*g - 115. Let b be y(q). What is f in 1/2*f**2 - 2*f + b = 0?
0, 4
Suppose -q**2 + 1/10*q**3 - 11/10*q + 0 = 0. What is q?
-1, 0, 11
Let v(t) be the first derivative of -2*t**4/3 + 13*t**3/9 - 11*t**2/12 + t/6 + 468. Find p such that v(p) = 0.
1/8, 1/2, 1
Let d(x) be the third derivative of x**7/630 + 3*x**6/40 + 137*x**5/180 - 205*x**4/24 + 25*x**3 - 448*x**2. Factor d(b).
(b - 2)*(b - 1)*(b + 15)**2/3
Let i(b) = 3*b**3 - 9*b**2 + 105*b - 167. Let c(p) = -5*p**3 + 19*p**2 - 210*p + 335. Let w(v) = 4*c(v) + 7*i(v). Factor w(q).
(q - 3)**2*(q + 19)
Find n such that 1/10*n**2 + 0 - 19/10*n 