second derivative of 3*j**5/140 + j**4/28 - j**3/14 - 3*j**2/14 - 16*j. Factor b(p).
3*(p - 1)*(p + 1)**2/7
Find l, given that -l**2 + l - 2 + l - 1 + 2*l = 0.
1, 3
Determine z so that 3/2*z**4 - 2*z**2 + z**3 - z + 1/2 = 0.
-1, 1/3, 1
Let y(t) be the first derivative of -t**4 - 2*t**3/3 + t**2 + 9. What is k in y(k) = 0?
-1, 0, 1/2
Let r = -20 + 23. Let p(j) be the third derivative of 3*j**2 + 0*j**r + 0*j + 0 - 1/150*j**5 - 1/60*j**4. Find d such that p(d) = 0.
-1, 0
Let b be ((-8)/(-24))/(1/(-3)). Let d be (-38)/(-24) - b/(-4). Find x such that 2/3*x**2 + 4/3*x**3 + 0 - 2/3*x**4 - d*x**5 + 0*x = 0.
-1, -1/2, 0, 1
Let b be (-4)/(-11 - 1)*(-1 - -2). Determine p so that b*p + 0*p**2 - 1/3*p**3 + 0 = 0.
-1, 0, 1
Let b(l) be the third derivative of -7*l**2 + 1/525*l**7 + 0 + 1/150*l**5 + 7/600*l**6 - 1/560*l**8 + 0*l + 0*l**3 + 0*l**4. Find a, given that b(a) = 0.
-1, -1/3, 0, 2
Suppose 13/8*c - 11/8*c**2 - 1/4 = 0. Calculate c.
2/11, 1
Factor 2*g**2 + 78 + 32*g + 35 + 15.
2*(g + 8)**2
Suppose 5*b + 4*z - 39 + 7 = 0, -b - 2*z = -10. Let u be 8/(-36) - b/(-18). Let 0*c + 0 + u*c**2 + 1/4*c**3 = 0. Calculate c.
0
Suppose 2*j = 8 - 2. Factor -f**2 - 3*f + 2*f**j + 3 + 2*f**3 - f**3 - 2.
(f - 1)*(f + 1)*(3*f - 1)
Suppose a - 7*n + 12 = -4*n, -2*a - 2*n = -8. Factor -4/7*u**2 + 2/7*u + 2/7*u**3 + a.
2*u*(u - 1)**2/7
Factor 0 + 4/5*n - 2/5*n**2.
-2*n*(n - 2)/5
Let m(d) be the second derivative of -d**6/51 + d**5/170 + 5*d**4/102 - d**3/51 + 3*d. Suppose m(c) = 0. What is c?
-1, 0, 1/5, 1
Let c be 5 + (2 - (6 - 1)). Determine l, given that 2*l**2 + 4*l**3 - l**3 - c*l**3 - 3*l**3 = 0.
0, 1
Let o be 2 - ((-20)/4 + 3). Suppose 5*i + 19 = 5*v - 1, 0 = 4*i + v - o. Factor i + 0*j**2 - 1/2*j**4 - 1/4*j**5 + 0*j - 1/4*j**3.
-j**3*(j + 1)**2/4
Let n(f) = 4*f**2 + 7*f + 13. Let h(b) = 12*b**2 + 20*b + 40. Let q(z) = 5*h(z) - 16*n(z). Factor q(j).
-4*(j + 1)*(j + 2)
Factor 0 - 2/5*x**2 - 4/5*x**3 - 2/5*x**4 + 0*x.
-2*x**2*(x + 1)**2/5
Let i be 22/55 - (-2)/(-5). Let -1/2*s**3 + 1/2*s**4 + 0*s + 0 + i*s**2 = 0. What is s?
0, 1
Let n(g) = -g + 4. Let s = 23 - 19. Let x be n(s). Factor -2/3*u**5 + 0*u + 4/3*u**4 + 0*u**2 + x*u**3 + 0.
-2*u**4*(u - 2)/3
Let l(h) = -h**3 + 1. Let i(k) = 7*k**3 + 10*k**2 + 64*k + 63. Let j(b) = -2*i(b) - 18*l(b). What is f in j(f) = 0?
-2, 9
Let l(u) be the third derivative of u**7/630 - u**6/120 + u**5/60 - u**4/72 - 44*u**2. Find x, given that l(x) = 0.
0, 1
Let q(h) = 4*h - 17. Let j be q(-15). Let o = j - -159/2. Factor -w**4 - o*w**3 + 1/2 + 1/2*w - 3/2*w**2.
-(w + 1)**3*(2*w - 1)/2
Let b(a) be the second derivative of -3/40*a**5 + 3/8*a**4 + 0 - 1/2*a**3 + 0*a**2 + 8*a. Factor b(g).
-3*g*(g - 2)*(g - 1)/2
Let s be (11/4)/((-1)/(-4)). Suppose -4*h + s = 5*l + 1, h = l + 7. Let b**2 + 5*b**h - 2*b**3 - 3*b**5 + 0*b**5 - b**4 = 0. What is b?
-1, 0, 1/2, 1
Let z = -5 + 3. Let l be (-24)/(-126)*(-3)/z. Let 4/7*n**3 + 4/7*n**2 - 2/7*n**4 - l*n - 2/7*n**5 - 2/7 = 0. Calculate n.
-1, 1
Let o = 177/676 - 2/169. Let x(d) be the first derivative of 1/4*d - 3 + 1/12*d**3 + o*d**2. Factor x(k).
(k + 1)**2/4
Let f(l) = 2*l**4 - l**3 + l - 1. Let j(c) = -10*c**5 - 42*c**4 + 16*c**3 - 12*c + 12. Let d(r) = -12*f(r) - j(r). Determine t so that d(t) = 0.
-2, 0, 1/5
Suppose -5*s + 5*s = 5*s. Let v(z) be the third derivative of -1/150*z**5 + 0*z**3 + 0 + s*z + z**2 + 0*z**4. Find i such that v(i) = 0.
0
Let t = 921/5 - 184. Find o such that 1/5*o - 1/5*o**3 + t*o**2 - 1/5*o**4 + 0 = 0.
-1, 0, 1
Let s(a) be the second derivative of 0*a**2 + 0 + a - 3/10*a**5 - 1/6*a**3 - 1/42*a**7 + 1/3*a**4 + 2/15*a**6. Factor s(n).
-n*(n - 1)**4
Let b(k) = k**3 - 2*k**2 + 5*k + 4. Let x(j) = -j**3 + 2*j**2 - 6*j - 5. Let s(y) = -5*b(y) - 4*x(y). Suppose s(z) = 0. What is z?
0, 1
Let o(m) be the second derivative of m**6/90 + m**5/6 + 11*m**4/12 + 20*m**3/9 + 8*m**2/3 + 5*m. Factor o(u).
(u + 1)**2*(u + 4)**2/3
Suppose -15 = -5*h - 4*p, -2*p = 3*p. Let -h*s**2 + 0*s**3 - 2*s**3 + 3 - 3*s + 3*s**3 + 2*s**3 = 0. What is s?
-1, 1
Let b(p) be the first derivative of -7*p**5/40 + 33*p**4/32 - 13*p**3/8 + 7*p**2/16 + 3*p/4 + 32. Let b(s) = 0. Calculate s.
-2/7, 1, 3
Let g(t) = 3*t**2 - 7*t + 7. Let y(j) be the first derivative of -j**3/3 - j**2/2 + j + 5. Let i(f) = g(f) + y(f). Factor i(m).
2*(m - 2)**2
Let j = -9 - -5. Let p(a) = -a**5 + a**4 - a**3 - a**2 - 1. Let m(u) = -5*u**5 + 3*u**4 - 3*u**3 - 3*u**2 - 4. Let h(c) = j*p(c) + m(c). Factor h(q).
-q**2*(q - 1)*(q + 1)**2
Let y = -6 + 12. Let g(f) be the first derivative of 1/18*f**4 - 1/27*f**y + 0*f**2 + 0*f**5 - 2 + 0*f**3 + 0*f. Factor g(x).
-2*x**3*(x - 1)*(x + 1)/9
Let r(c) be the second derivative of -11/36*c**4 + 1/9*c**3 + 3/20*c**5 + 0 + 0*c**2 - 4*c. Solve r(g) = 0.
0, 2/9, 1
Let d(f) = 7*f**2 - 18*f + 11. Let y = -44 - -38. Let z(r) = -9*r + 1 + 4*r**2 - 1 + 5. Let b(c) = y*d(c) + 14*z(c). Factor b(q).
2*(q - 1)*(7*q - 2)
Let h = 87 - 133. Let c = h - -140/3. Solve -c*d**3 + 0*d + 1/3*d**2 + 0 + 1/3*d**4 = 0.
0, 1
Let t = -127/4 - -397/12. Let -1/3*f**2 - t*f - 4/3 = 0. Calculate f.
-2
Let k(q) = 2*q**4 - 29*q**3 + 25*q**2 + 36*q - 27. Let j(m) = m**4 - 19*m**3 + 17*m**2 + 24*m - 18. Let i(g) = 7*j(g) - 5*k(g). Determine z so that i(z) = 0.
-1, 1, 3
Solve 16/3*k + 4/3 + 5/3*k**2 - 25/3*k**3 = 0.
-2/5, 1
Let b be ((-2)/(-5))/(((-192)/(-20))/8). Determine y so that 1/3*y**5 + 0*y + b*y**2 - 1/3*y**3 + 0 - 1/3*y**4 = 0.
-1, 0, 1
Suppose 2*n + 6 = -n. Let g(l) = -l**3 - 2*l**2 + 2. Let z be g(n). Factor -2*o - 4 + 6*o**z - 4*o + 4*o**2.
2*(o - 1)*(5*o + 2)
Factor -6*n**5 + 3*n**4 - 8*n**2 + 3*n**2 + 2*n**2 + 6*n**4.
-3*n**2*(n - 1)**2*(2*n + 1)
Suppose -2*c + c = 2*z + 3, -5*c - 2*z + 9 = 0. Solve 8*p**4 + c*p - 2*p**5 + 3*p + 16 - 2*p**3 - 20*p**2 + 2*p = 0 for p.
-1, 2
Let t(g) be the third derivative of g**6/60 - g**5/5 + 3*g**4/4 - 4*g**2. Find a, given that t(a) = 0.
0, 3
Let g(p) be the second derivative of -p**7/42 + 2*p**6/15 - 3*p**5/20 - p**4/3 + 2*p**3/3 - 15*p. Find z, given that g(z) = 0.
-1, 0, 1, 2
Suppose -2*p = 6*w - 2*w + 4, 3*p - w - 8 = 0. Let b(x) be the first derivative of -40/7*x**4 + 4/7*x + 3 - 3*x**p + 48/7*x**3. Factor b(c).
-2*(4*c - 1)**2*(5*c - 2)/7
Let v(q) = -q + 17. Let f be v(12). Suppose 0 = -o + f*z - 8 - 0, -3*o - 5*z = -16. Suppose y**3 + 1/3*y**4 + 0 + y**o + 1/3*y = 0. What is y?
-1, 0
Let f(h) = -h**2 - 6*h + 1. Let y be f(-6). Suppose -5*s = -16 + y. Determine x, given that 8*x**s - 9*x**2 + 1 - 7 + 15*x**4 - 21*x + 13*x**3 = 0.
-1, -2/5, 1
Solve 0 + 9/2*g**2 - 9/2*g**3 + 3/2*g**4 - 3/2*g = 0.
0, 1
Let i(d) = -d**3. Let m(n) = 2*n**4 + 10*n**3 + 2*n**2 - 6*n - 4. Let b(k) = -4*i(k) - m(k). Factor b(z).
-2*(z - 1)*(z + 1)**2*(z + 2)
Suppose -5*k + 2*f = -129, 5*k - 123 = -0*f - f. Suppose k = 8*x - 3*x. Factor 3*g**4 + g**2 + g**x + 0*g + 3*g**3 + 0*g.
g**2*(g + 1)**3
Let s(q) be the first derivative of -1/8*q**4 + 5/4*q**2 - 1/2*q**3 - q + 1/10*q**5 - 3. Suppose s(g) = 0. What is g?
-2, 1
Let s be 1 - (3 + -4 - 0). Let x(a) be the first derivative of -2/3*a**3 + 0*a - 1/2*a**2 - 1/4*a**4 + s. Determine o so that x(o) = 0.
-1, 0
Factor -5*y**5 + 3*y**4 + 13*y**5 - 2*y**4 - 3*y**4.
2*y**4*(4*y - 1)
Let o = 89 + -89. Let i(h) be the second derivative of -1/9*h**4 + 1/45*h**6 + 0*h**3 + o*h**5 + 1/3*h**2 + 0 - 3*h. Solve i(a) = 0.
-1, 1
Let d(f) = 2*f**2 - 5*f + 4. Let t = -1 + 3. Let g be d(t). Suppose -10/7*m**3 - 34/7*m**g - 8/7 - 32/7*m = 0. Calculate m.
-2, -1, -2/5
Determine z so that -1/3*z**3 + 0*z + 0 + 2/3*z**4 - 2/3*z**2 + 1/3*z**5 = 0.
-2, -1, 0, 1
Let f(q) be the first derivative of 0*q - 2 + 0*q**3 + 8/15*q**5 + 0*q**2 - 1/6*q**4. Determine d, given that f(d) = 0.
0, 1/4
Let j be 20*-1*4/(-90). Let n(c) be the first derivative of -j*c**3 + 5/3*c**2 + 1 - 2/3*c. Factor n(h).
-2*(h - 1)*(4*h - 1)/3
Let s(n) be the third derivative of 3*n**6/80 - 3*n**5/40 + n**4/16 - n**3/36 - n**2. Factor s(f).
(3*f - 1)**3/6
Suppose 4*h - 3 + 51 = 0. Let o = 18 + h. What is m in -o*m + 4*m + 3*m - 3*m**2 + 4*m**2 = 0?
-1, 0
Factor -16*g**5 + 60*g**4 + 41*g - 4 - 77*g**3 - 3*g**3 - 41*g + 40*g**2.
-4*(g - 1)**4*(4*g + 1)
Let t be (-7)/21 - 5 - -6. Determine l, given that -4/3*l + 2/3 + t*l**2 = 0.
1
Let a(p) = 11*p**2 + 5*p + 2. Let h(b) = 4*b**2 + 2*b + 1. Let y(g) = -