*2/8 + 9*n/8 + 238. Factor g(u).
(u + 1)*(u + 9)/8
Let a(k) be the first derivative of 17 - 1/21*k**3 + 1/7*k - 1/14*k**2 + 1/28*k**4. Factor a(r).
(r - 1)**2*(r + 1)/7
Factor 40*a**2 + 95*a + 3*a**3 + 3*a**3 - 25 - a**3 + 85.
5*(a + 1)*(a + 3)*(a + 4)
Let k be ((-165)/22)/(35/(-14)). Let j(h) be the second derivative of -17/15*h**k + 0 - 13/50*h**5 + h + 14/15*h**4 + 2/5*h**2. Factor j(v).
-2*(v - 1)**2*(13*v - 2)/5
Let x = 24 + -22. Let 80 + 6*r - 3*r**x + 8*r**2 + 34*r = 0. What is r?
-4
Let 0 + 17/3*n - 1/3*n**2 = 0. Calculate n.
0, 17
Let j(z) be the second derivative of -z**4/42 - 160*z**3/21 - 6400*z**2/7 + 2*z + 419. Factor j(d).
-2*(d + 80)**2/7
Let q(g) = -4*g**2 - 229*g + 9. Let w(f) = -4*f**2 - 228*f + 12. Let i(n) = -4*q(n) + 3*w(n). Factor i(k).
4*k*(k + 58)
Let n be 5/30 + -2*(-3)/(-36). Let b(p) be the second derivative of 1/24*p**4 + 0 + n*p**3 + 5*p + 0*p**2. Factor b(g).
g**2/2
Let 35*o**2 + 18*o**2 - 6 + 5*o**2 - 99*o + 47*o**2 = 0. What is o?
-2/35, 1
Let d = -2 + -3. Let f = 0 - d. Factor 12*m**4 + 5*m**5 - 23*m**3 + 16*m**2 - 3*m**f + 47*m**3.
2*m**2*(m + 2)**3
Let r(p) = 6*p**3 + 4*p**2 + 5*p - 5. Let v(y) = 0*y - 4*y + 1 - y**3 + 3*y. Let f(i) = -r(i) - 5*v(i). Factor f(w).
-w**2*(w + 4)
Let q be 12*((-15)/(-6) - 2). Let g be -4 + 52/q + -4. Determine u so that 0*u**3 + 2/3*u**4 + 0*u + g - 4/3*u**2 = 0.
-1, 1
Find n such that -108*n + 87*n**3 - 25*n**4 - 15*n**5 + 142*n**4 - 396*n**3 + 315*n**2 = 0.
0, 4/5, 1, 3
Let s(j) = -j**3 - 7*j**2 - 12*j - 7. Let m be s(-5). Suppose m*g - 80 = -2*g. Factor -24*k**3 + 16*k**5 - 2 + 2 - 16*k**4 - 19*k**5 + g*k.
-k*(k + 2)**3*(3*k - 2)
Let n(z) = z**3 + z**2 - 1. Let v = -59 + 44. Let k(u) = -5*u**4 - 25*u**3 - 10*u**2 + 10*u + 15. Let h(o) = v*n(o) - k(o). Factor h(f).
5*f*(f - 1)*(f + 1)*(f + 2)
Let c(f) be the first derivative of -3*f**5/35 + 2*f**4/7 - 8*f**3/21 - 17*f**2/2 - 15. Let l(k) be the second derivative of c(k). Factor l(b).
-4*(3*b - 2)**2/7
Let r(j) = 2*j**3 - 4*j**2 - 2*j - 6. Let k be r(3). Determine y so that -y**3 + 2 + k*y**2 - 245*y - y**3 + 239*y = 0.
1
Let a(w) be the second derivative of 1/20*w**5 - 1/30*w**6 + 0*w**2 - 12*w + 0 + 1/12*w**4 - 1/6*w**3. Suppose a(l) = 0. Calculate l.
-1, 0, 1
Suppose -25 = -23*o + 44. Let x(t) be the second derivative of -1/48*t**4 - 1/2*t**2 + 1/6*t**3 + 0 + o*t. Find l, given that x(l) = 0.
2
Let h = -20362 - -101812/5. Find u, given that 0 - h*u**3 - 2/5*u**2 + 4/5*u = 0.
-2, 0, 1
Let n(s) = -16*s**4 - 44*s**2 - 4*s + 14. Let x(p) = p + 19*p**3 - p**4 + 1 - 9*p**3 - p**2 - 9*p**3. Let c(r) = -2*n(r) + 28*x(r). What is j in c(j) = 0?
-3, -1, 0
Let i(q) be the third derivative of q**5/135 - 73*q**4/36 - 110*q**3/27 - 283*q**2. Factor i(s).
2*(s - 110)*(2*s + 1)/9
Suppose -1 = -2*k + l, -5*k - 2*l + 4 = -4*l. Factor 87*c - 18*c**k - 87*c + c**3 - 3*c**3.
-2*c**2*(c + 9)
Suppose -5*b + 42 = -3*b. Let w be b/(-15) - (-2 + 4)*-1. Factor -w*o**2 + 0 + 3/5*o**3 + 0*o.
3*o**2*(o - 1)/5
Let p(c) be the third derivative of 0*c**4 - 1/1008*c**8 + 0*c + 11*c**2 - 1/180*c**6 + 0*c**5 + 1/210*c**7 + 0*c**3 + 0. Factor p(z).
-z**3*(z - 2)*(z - 1)/3
Solve 55*i**3 + 25/2*i**2 - 30*i + 25/2*i**4 + 0 = 0.
-4, -1, 0, 3/5
Find u, given that 3*u**4 + 8255*u**5 - 105*u**3 - 8250*u**5 - 55*u**2 - 48*u**4 = 0.
-1, 0, 11
Let w(a) be the first derivative of -2*a**2 - 14 + 2/3*a**3 + 0*a. Factor w(b).
2*b*(b - 2)
Let s(h) be the first derivative of 2*h**3/33 - 17*h**2/11 - 120*h/11 - 263. Find k, given that s(k) = 0.
-3, 20
Let n(o) = o**3 - 7*o**2 - 5*o - 22. Let f be n(8). Solve -2/3*z**3 - 4/3*z + 0 - 2*z**f = 0 for z.
-2, -1, 0
Let r(f) be the second derivative of -f**7/48 - f**6/240 + 7*f**5/160 + f**4/96 + 454*f + 1. Solve r(z) = 0.
-1, -1/7, 0, 1
Let u be 0*(-10 + (-51)/(-5))*(0 + -5). Determine z, given that -2/3*z**5 - 8*z**2 - 8/3*z + u - 26/3*z**3 - 4*z**4 = 0.
-2, -1, 0
Find f such that -26*f**2 + 4*f**3 - 22*f**2 + 42*f - 3*f + 5*f**3 = 0.
0, 1, 13/3
Suppose -2*o - 3 + 7 = 0. Let g be 2/2*3*1. Let 8*k**o + 12*k + 4*k**2 + 6*k + 2*k**g = 0. What is k?
-3, 0
Determine t, given that -24*t + 40*t**5 + 21*t**3 - 13*t**5 - 24*t**5 + 18*t**2 - 18*t**4 = 0.
-1, 0, 1, 2, 4
Suppose -a = 2*r + 16, -a - 4*r = -r + 17. Let k = -10 - a. Let 5*y**2 + 12*y**3 - 4*y**4 + 4*y**k + 4*y**4 + 3*y**2 = 0. What is y?
-2, -1, 0
Let l(b) be the third derivative of -b**7/280 - 9*b**6/160 - 7*b**5/80 + 9*b**4/32 + b**3 - 118*b**2. Suppose l(c) = 0. What is c?
-8, -1, 1
Let k(x) = -x**2 + 260*x + 1668. Let p(v) = -52*v - 334. Let f(t) = 4*k(t) + 22*p(t). Let f(n) = 0. What is n?
-13
Let s(f) = 151*f + 9. Let n be s(-3). Let b be 4/10 + -6 + n/(-40). Determine l, given that -3/2 + 2*l**2 + b*l = 0.
-3, 1/4
Let q(z) = 5*z**2 + 4*z + 5. Let m(d) = d**2 + 13*d + 16. Let s be m(-11). Let y(t) = 14*t**2 + 11*t + 14. Let g(l) = s*y(l) + 17*q(l). Factor g(j).
(j + 1)**2
Let a = 454 - 12262/27. Let i = 82/189 + a. Factor 250/7 + 30/7*l**2 - i*l**3 - 150/7*l.
-2*(l - 5)**3/7
Let v(b) = -201*b**3 + 1491*b**2 - 2562*b + 336. Let c(i) = 57*i**3 - 426*i**2 + 732*i - 96. Let g(x) = -18*c(x) - 5*v(x). Determine y, given that g(y) = 0.
1/7, 2, 8
Let l(y) be the third derivative of 29*y**5/12 + 40*y**4/3 + 10*y**3 - 306*y**2. Find d such that l(d) = 0.
-2, -6/29
Let s = -2447 + 2449. Let i(q) be the second derivative of 0*q**3 - 5/2*q**s + 0 + 5/12*q**4 + 11*q. Let i(a) = 0. What is a?
-1, 1
Let d = -2041/3 + 10238/15. Factor 0 - 7*o**3 - 1/5*o - d*o**2 - 5*o**4.
-o*(o + 1)*(5*o + 1)**2/5
Let u(d) be the third derivative of 7*d**5/30 - 733*d**4/12 - 70*d**3 - d**2 - 584*d. Find t, given that u(t) = 0.
-2/7, 105
Let g = 73 + -70. Determine l so that -12*l - 8*l**2 + 48*l**3 + 48*l**g + l**4 - 95*l**3 = 0.
-2, 0, 3
Let i(q) = 72*q - 36. Let o be i(6). Factor -o*b**2 - 32*b - 28 + 197*b**2 + 195*b**2.
-4*(b + 1)*(b + 7)
Let y = 1427/5 - 7131/25. Let l(m) be the first derivative of 4/5*m - 14 + m**2 + 0*m**3 - 1/2*m**4 - y*m**5. What is p in l(p) = 0?
-2, -1, -1/2, 1
Solve -65*p**3 - 8*p + 56*p**3 - 12*p - 5*p**4 - 60*p**2 + 44*p**3 + 80 = 0 for p.
-1, 2, 4
Let d be (-2)/(6*1*2/(-6)). Let m(v) = 11*v**2 + 41*v. Let h(p) = p**2 + p. Let w(y) = d*m(y) - 6*h(y). Factor w(r).
5*r*(r + 7)
Let z = 177 - 2973/17. Let h = -201/119 + z. Factor -9/7*w**3 + 3/7*w**5 - 6/7*w - 15/7*w**2 + h*w**4 + 0.
3*w*(w - 2)*(w + 1)**3/7
Let j(h) = 8*h**3 - 14*h**2 + 7. Let k(v) = 7*v**3 - 13*v**2 + 8. Let p(x) = -4*j(x) + 5*k(x). Factor p(l).
3*(l - 2)**2*(l + 1)
Let n = 48/445 + 3813/1780. Solve -3/8*x**2 + 15/8*x - n = 0.
2, 3
Let p(i) be the second derivative of -i**4/72 + i**3 - 27*i**2 - 47*i - 3. Factor p(v).
-(v - 18)**2/6
Let m be 2*((-221)/91 + 3). Let -2/7*n**5 + 0*n**2 - m*n**3 + 10/7*n**4 + 0 + 0*n = 0. What is n?
0, 1, 4
Let f(z) be the second derivative of -5*z**4/12 + 65*z**3/6 - 75*z**2 - 153*z. Solve f(g) = 0 for g.
3, 10
Suppose -238/9*i**2 + 118*i - 2/3*i**4 - 94/9*i**3 - 36 = 0. What is i?
-9, 1/3, 2
Let n(a) be the first derivative of -3*a**2 - 27 - 5*a**3 + a**5 + 8*a**2 + 5. Suppose n(z) = 0. What is z?
-2, 0, 1
Let s = -13 + 16. Suppose s*q - 4 = q. Find c, given that -4 - c**3 + 4*c**2 + 0*c**q + 2*c**3 + c**3 - 2*c = 0.
-2, -1, 1
Let j(o) = -3*o**4 + 2*o**3 + 9*o**2 - 12*o + 20. Let v(d) = -11*d**4 + 9*d**3 + 33*d**2 - 49*d + 78. Let a(b) = -15*j(b) + 4*v(b). Factor a(k).
(k - 1)**2*(k + 2)*(k + 6)
Let d(v) be the first derivative of v**6/30 + 4*v**5/25 + v**4/4 + 2*v**3/15 - 91. Let d(q) = 0. What is q?
-2, -1, 0
Let d(l) = -1 - 3*l - 5 + 17 - 7*l**2 + 7. Let j(n) = 20*n**2 + 9*n - 54. Let t(u) = -11*d(u) - 4*j(u). Determine w, given that t(w) = 0.
-3, 2
Let b = 184 + -180. Let o(g) be the second derivative of -1/150*g**6 - 5*g + 3/100*g**5 + 0*g**2 - 1/20*g**b + 0 + 1/30*g**3. Factor o(l).
-l*(l - 1)**3/5
Factor 17*q - 22*q - 2*q**2 + 6*q**2 + 16 - 11*q.
4*(q - 2)**2
Let j(b) be the second derivative of -1/3*b**3 + 19*b + 1/30*b**4 + 0*b**2 + 0. Solve j(y) = 0.
0, 5
Let d(f) be the third derivative of 0*f + 27*f**2 + 0*f**4 - 1/945*f**7 - 1/270*f**5 + 0 + 0*f**3 + 1/270*f**6. Let d(n) = 0. Calculate n.
0, 1
Let w(f) = -f**2 + 15*f - 24. Let a be w(13). Suppose -5*s + a*m + 5 = -15, -3 = s + m. Factor -3/5*p**s + 0 + 2/5*p.
-p*(3*p - 2)/5
Let c(r) = r - 5. Let v be c(5). Let u(