*5/40 + d**4/8 + 2*d**2 - 8. Let l(c) be the second derivative of t(c). Factor l(f).
3*f*(f + 2)**2*(5*f + 2)/8
Let t be 0 + 5 + (25 + -27)*(-18)/(-8). Factor -t*g**3 - 1/2*g**4 + 3/2*g**2 + 1 + 5/2*g.
-(g - 2)*(g + 1)**3/2
Let d be ((-40)/70)/((-4)/14). Suppose 2*q**3 + d*q - 5*q**5 + 0 - 1 + 4*q**5 - q**4 - 3*q + 2*q**2 = 0. What is q?
-1, 1
Let a(y) be the second derivative of y**7/12600 - y**6/1800 + y**5/600 - y**4/4 - 10*y. Let l(q) be the third derivative of a(q). Factor l(u).
(u - 1)**2/5
Let l(z) be the second derivative of 46*z - 2/3*z**4 + 0 - 20*z**2 - 14*z**3. Suppose l(p) = 0. Calculate p.
-10, -1/2
Let k(l) = -l**2 - 50*l + 277. Let q be k(5). Determine x, given that -3/2*x**5 + x**4 + 0 - x**q + 3/2*x**3 + 0*x = 0.
-1, 0, 2/3, 1
Suppose -4*w + 0*w - 5*c + 18 = 0, -10 = -5*c. Factor 5*g**2 + 10*g + 10*g**2 - 20*g**w.
-5*g*(g - 2)
Let l = -3631 - -39943/11. Suppose 0*a - 4 = -2*a. Let 0*c + 2/11*c**3 + l*c**a + 0 = 0. Calculate c.
-1, 0
Suppose 0 = -9*p - 511 - 623. Let x be (-2 - -9)*(-36)/p. What is u in 1/2*u**5 + 0*u**3 + 0 + u**4 - u**x - 1/2*u = 0?
-1, 0, 1
Let p(o) be the third derivative of -o**6/720 - o**5/80 + o**3 + 21*o**2. Let f(b) be the first derivative of p(b). Factor f(x).
-x*(x + 3)/2
Suppose 7*t - 78 = -1. Factor -6*f + 2*f**4 + f**3 + 0*f**2 + 14*f**2 - t*f**3.
2*f*(f - 3)*(f - 1)**2
Let u(k) be the third derivative of 1/10*k**5 - 1/35*k**7 + 12*k**2 - k + 0 + 1/8*k**4 + 0*k**3 - 1/112*k**8 + 0*k**6. Factor u(h).
-3*h*(h - 1)*(h + 1)**3
Let w = -35413 + 35415. Find i such that -1/3*i**w - 27 - 6*i = 0.
-9
Let w(g) = 9*g + 12. Let d(q) = 5*q + 6. Let p(z) = -11*d(z) + 6*w(z). Let a be p(3). Solve y**5 - 11*y**3 - 4*y**4 + y**5 + 13*y**a = 0 for y.
0, 1
Suppose -b - 2*b - 4*a = -274, 4*b - 2*a = 358. Let c be (-1 - -2)/((b/16)/9). Factor -18/5 - 24/5*q - c*q**2.
-2*(2*q + 3)**2/5
Let n(a) be the third derivative of -a**8/1680 + a**7/210 + 3*a**6/200 - 17*a**5/300 - a**4/15 + 2*a**3/5 - 551*a**2. Solve n(f) = 0 for f.
-2, -1, 1, 6
Let i = -159 + 319/2. Factor -x**3 + 1/4*x**4 - i*x + 5/4*x**2 + 0.
x*(x - 2)*(x - 1)**2/4
Determine z so that -7/3*z**3 + 1/3*z**5 + 0*z**4 + 0 + 2*z**2 + 0*z = 0.
-3, 0, 1, 2
Let n = 6/1003 + 1976/5015. Solve -108/5*p - n*p**4 - 4*p**3 - 72/5*p**2 - 54/5 = 0.
-3, -1
Suppose -8*l = -22 - 26. Suppose 0 = 5*p - 10 - 10. Find u such that 32*u**4 - 22*u**5 + 19*u**p + 100*u**3 - 3*u**4 + 24*u**2 - l*u**5 = 0.
-1, -2/7, 0, 3
Let s = 74 + -74. Let j be (-4)/7 + (-252)/(-98). Factor 3/4*a**j - 3/4*a + s.
3*a*(a - 1)/4
Factor -4/13 - 62/13*p - 150/13*p**2.
-2*(3*p + 1)*(25*p + 2)/13
Let s(j) be the first derivative of -2*j**5/35 + 5*j**4/14 + 44*j**3/21 + 16*j**2/7 - 82. Determine a so that s(a) = 0.
-2, -1, 0, 8
Let x(y) = 4*y**2 - 28*y + 48. Let b(f) = 4*f**2 - 27*f + 48. Let v(d) = 4*b(d) - 5*x(d). Find u, given that v(u) = 0.
2, 6
Let -2*n + 18*n**2 - 4 - 17*n**2 + n**2 = 0. Calculate n.
-1, 2
Factor 6 + 9*g**3 - 27*g**3 + 8*g**2 + 13*g + 19*g**3.
(g + 1)**2*(g + 6)
Let v = 87 - 63. Let q be (v/(-270))/((-2)/6). Let q*o + 8/15*o**3 - 2/15*o**4 + 0 - 2/3*o**2 = 0. What is o?
0, 1, 2
Suppose 3*n + o = -o + 7, 0 = -2*n - o + 4. Let k be 6*(-8)/16 - (n + -6). Determine g, given that 1/2 + 1/2*g**k - g = 0.
1
Let l(n) be the first derivative of 0*n + 3/10*n**5 + 0*n**3 + 0*n**2 - 7 + 3/16*n**4 + 1/8*n**6. Find m such that l(m) = 0.
-1, 0
Let y(j) be the first derivative of -3*j**4/4 - 9*j**3 - 30*j**2 - 36*j - 162. Factor y(r).
-3*(r + 1)*(r + 2)*(r + 6)
Let j(x) = 2*x**4 + x**4 + 10*x + 12*x**3 - 12*x - 13*x**5 - 2. Let h(n) = 38*n**5 - 8*n**4 - 37*n**3 + 7*n + 7. Let c(y) = -2*h(y) - 7*j(y). Factor c(t).
5*t**3*(t - 1)*(3*t + 2)
Suppose -c = t - 2, -2 = 5*c - 3*t - 20. Solve 6*i**2 - 3*i**2 - 2*i**4 + 2*i**3 - i**4 + 4*i**c - 6*i = 0 for i.
-1, 0, 1, 2
Let u be ((-16)/32)/(2338/(-8)). Let x = u - -18698/3507. Find v such that 2/3*v**4 - x + 8/3*v - 10/3*v**3 + 4*v**2 = 0.
-1, 2
Let z be ((-90)/6)/(-225)*(10 + 0). Factor -1/3 - z*x**2 - x.
-(x + 1)*(2*x + 1)/3
Let u(k) be the second derivative of -k**6/135 - k**5/45 - k**4/54 - 195*k. Let u(z) = 0. Calculate z.
-1, 0
Let x(f) be the third derivative of -f**6/480 - 41*f**5/240 + 85*f**4/96 - 43*f**3/24 - 9*f**2 - 11*f. What is j in x(j) = 0?
-43, 1
Factor -4*d**2 - 60*d + 10*d**4 - 2*d**5 + 56*d - 10*d**3 - 8*d**3 + 18*d**2.
-2*d*(d - 2)*(d - 1)**3
Let r(x) = -x**2 + 11*x + 3. Let c be r(11). Factor 6*j**4 - 290*j**3 + 290*j**c - 8*j**2 - 6*j**5 + 4*j**5.
-2*j**2*(j - 2)**2*(j + 1)
Let w(d) be the second derivative of -d**6/6 - 2*d**5 - 25*d**4/3 - 40*d**3/3 - d + 9. Determine f, given that w(f) = 0.
-4, -2, 0
Let s be 20/6*(10 + (-4)/96*213). Suppose -s*g**2 - 3*g**4 + 3/2*g + 0 - 33/4*g**3 = 0. Calculate g.
-2, -1, 0, 1/4
Let k be ((-10)/25)/(-1 + 2516/2540). Let v = k + -245/6. Let -3/2*f - v*f**5 + 3*f**3 + f**4 + 1 - 2*f**2 = 0. Calculate f.
-1, 2/3, 1
Solve -60*j**2 + 5*j**5 + 20*j**4 - 3*j**3 + 45*j + 150 + 146 - 296 - 7*j**3 = 0.
-3, 0, 1
Let d(p) be the third derivative of 0 + 7*p**2 + 0*p**3 - 1/30*p**5 - 1/6*p**4 + 0*p. Solve d(a) = 0.
-2, 0
Let t = 216553/6 - 36092. Find q such that 0*q + 1/2*q**4 - t*q**5 + 0 - 1/3*q**3 + 0*q**2 = 0.
0, 1, 2
Let x(j) = -5*j**3 + 5*j**2 - 39*j - 27. Let p(g) = 6*g**3 - 5*g**2 + 40*g + 36. Let t(v) = -6*p(v) - 7*x(v). Factor t(q).
-(q - 3)*(q - 1)*(q + 9)
Suppose -10 = -7*t + 4. Determine x, given that -7*x - 8*x - x**t - 4*x**2 - 10 = 0.
-2, -1
Let j(m) be the second derivative of -1/180*m**5 - 1/378*m**7 + 0 - 1/90*m**6 + 1/27*m**3 + 0*m**2 + 1/36*m**4 - 7*m. Suppose j(y) = 0. What is y?
-2, -1, 0, 1
Let z(k) be the first derivative of k**5/15 - k**4/3 - 13*k**3/9 + 2*k**2/3 + 4*k + 17. What is g in z(g) = 0?
-2, -1, 1, 6
Let a(r) be the first derivative of 0*r - 17 + 1/4*r**2 + 2/3*r**3. Factor a(d).
d*(4*d + 1)/2
Let s(f) be the first derivative of -f**3/18 + f**2/6 - f/6 + 74. Factor s(k).
-(k - 1)**2/6
Factor 1/2*s**2 - 7/4*s + 1 + 1/4*s**3.
(s - 1)**2*(s + 4)/4
Let r(f) be the third derivative of -f**8/2352 - f**7/147 - 17*f**6/420 - 13*f**5/105 - 37*f**4/168 - 5*f**3/21 + 8*f**2 - f. Find x such that r(x) = 0.
-5, -2, -1
Let x(v) be the third derivative of -v**10/45360 + v**4/6 + 7*v**2. Let a(o) be the second derivative of x(o). Factor a(d).
-2*d**5/3
Factor -829*y**2 - 13*y + 10 - 12 + 24 + 830*y**2.
(y - 11)*(y - 2)
Let w be 3/(-5) - 18/(-30). Factor 2/7*m - 2/7*m**3 + w*m**2 + 0.
-2*m*(m - 1)*(m + 1)/7
Factor -21/8*n**2 - 18 + 3/8*n**3 - 21*n.
3*(n - 12)*(n + 1)*(n + 4)/8
Factor 3/4*y**4 - 27/4*y**3 - 81/4*y + 81/4*y**2 + 0.
3*y*(y - 3)**3/4
Suppose -52*m = 110*m. Find w, given that 1/9*w**4 + 2/9*w**2 + 1/3*w**3 + m + 0*w = 0.
-2, -1, 0
Let y(u) be the second derivative of u**6/10 - 3*u**5/5 + u**4 - 122*u. Factor y(h).
3*h**2*(h - 2)**2
Let n = 7 + 1. Let i be (n/(-5))/(448/(-160)). Factor i*t - 4/7*t**2 + 0.
-4*t*(t - 1)/7
Let s(k) be the third derivative of -3*k**5/4 + 55*k**4/6 - 130*k**3/3 + 249*k**2 + 2. Factor s(o).
-5*(o - 2)*(9*o - 26)
Let n(z) = -z + 1. Let g(a) = -4*a**2 + 10. Let u(d) = -d + 10. Let f be u(9). Let j(t) = f*g(t) - 6*n(t). Factor j(m).
-2*(m - 2)*(2*m + 1)
Let b = -187 + 176. Let l(c) = c**3 + 10*c**2 - 10*c + 11. Let n be l(b). Determine q so that 0*q**3 - 4/7*q**2 + 2/7*q + n + 4/7*q**4 - 2/7*q**5 = 0.
-1, 0, 1
Suppose -453*k - 64 = -469*k. Let p(t) be the first derivative of 9*t - 15/2*t**2 + 1 + t**3 + 3/4*t**k. Factor p(o).
3*(o - 1)**2*(o + 3)
Let s be ((-162)/80 - -2)/((-15)/20). Let o(g) be the second derivative of 4*g + s*g**4 + 0*g**2 + 1/15*g**3 + 0. Find l such that o(l) = 0.
-1, 0
Let j be 339/565 + (0 - 0). Factor -j*g**4 + 0*g - 9/5*g**3 - 6/5*g**2 + 0.
-3*g**2*(g + 1)*(g + 2)/5
Suppose -1/8*m**2 - 2401/8 - 49/4*m = 0. Calculate m.
-49
Let f be (24/(-14))/(4/(-14)). Factor -f*o**3 + 3*o**2 - 3*o**4 - o + o + 0*o**4 + 6*o.
-3*o*(o - 1)*(o + 1)*(o + 2)
Suppose -w - 6 = -4*w, -5*u + 5*w = 0. Factor 126*m**u - 24*m**3 - 10 - 3 + 31 + 105*m.
-3*(m - 6)*(2*m + 1)*(4*m + 1)
Let o(m) be the first derivative of m**5/35 - 67*m**4/28 + 131. Determine r, given that o(r) = 0.
0, 67
Factor 0 + 2/7*r**3 + 0*r + 32/7*r**2.
2*r**2*(r + 16)/7
Suppose 73*m - 74*m = -3. Let q(x) be the third derivative of 0*x - 1/120*x**5 + 0 + x**2 + 0*x**m - 1/480*x**6 - 1/96