 z(a) be the first derivative of -3 + 0*a - a**o - 2/5*a**5 + 2/3*a**3 + 1/2*a**4. Suppose z(k) = 0. What is k?
-1, 0, 1
Let r(x) be the second derivative of x**8/10080 + x**4/12 + 3*x. Let z(w) be the third derivative of r(w). Factor z(k).
2*k**3/3
Suppose 5*f + 4*o + 4 = -8, 6 = -2*f - 2*o. Factor 0*v + 1/3*v**3 + 0*v**4 + 0*v**2 + f - 1/3*v**5.
-v**3*(v - 1)*(v + 1)/3
Let w(a) be the first derivative of -2 - 1/9*a**3 + 0*a**2 + 1/3*a. Factor w(j).
-(j - 1)*(j + 1)/3
Suppose 4*f = 20*f - 64. Solve 39/5*z**2 + 18/5*z**3 + 3/5*z**f + 12/5 + 36/5*z = 0.
-2, -1
Let q = -8927/72 - -124. Let u(g) be the third derivative of 1/60*g**5 + 0*g**3 + 1/120*g**6 + 0*g + q*g**4 + 2*g**2 + 1/630*g**7 + 0. What is p in u(p) = 0?
-1, 0
Factor 30*l + 32*l**3 + 38 - 14*l - 32 + 112*l**2 + 34*l.
2*(l + 3)*(4*l + 1)**2
Let h(j) = j + 3. Let d(z) = -2. Let l(s) = -6*d(s) - 4*h(s). Let a be l(-1). Determine p so that -3*p**2 - 2*p**2 + a*p + 7*p**2 + 2 = 0.
-1
Let g = 43 - 41. Let h(l) be the third derivative of -1/90*l**5 + 2*l**g + 0*l + 0*l**3 + 0 + 0*l**4. Determine b so that h(b) = 0.
0
Let b(n) be the third derivative of 1/2*n**3 + 0*n + 0 + 1/6*n**4 + 1/60*n**5 + 6*n**2. Solve b(f) = 0.
-3, -1
Let a(n) be the second derivative of 5*n + 1/100*n**5 + 0 - 1/15*n**3 - 1/60*n**4 + 0*n**2. Factor a(u).
u*(u - 2)*(u + 1)/5
Factor 3/4*h - 1/4*h**2 + 1.
-(h - 4)*(h + 1)/4
Let k(a) be the first derivative of a**6/12 + a**5/5 - 15. Suppose k(f) = 0. What is f?
-2, 0
Let s(z) = z**3 - 9*z**2 + 3*z - 3. Let w(u) = -8*u**2 + 4*u - 4. Let o(j) = -4*s(j) + 3*w(j). Factor o(r).
-4*r**2*(r - 3)
Suppose -212/3*f**2 + 32*f + 12 - 32/3*f**3 + 176/3*f**4 - 64/3*f**5 = 0. Calculate f.
-1, -1/4, 1, 3/2
Suppose 3*z - 4 = 5. Factor 2*k**z - k**3 - k**4 + k**4 - k**4 + 2*k**2.
-k**2*(k - 2)*(k + 1)
Let d(b) be the first derivative of -4*b**3/3 - 4*b**2 + 4. Determine a so that d(a) = 0.
-2, 0
Factor 1 + 208*h**2 - 207*h**2 + 3*h - 5.
(h - 1)*(h + 4)
Let t(z) be the first derivative of 1/12*z**4 - 2 + z + 0*z**3 - 1/2*z**2. Let g(l) be the first derivative of t(l). Suppose g(x) = 0. Calculate x.
-1, 1
Let u(f) be the third derivative of f**5/15 + f**4/3 + 2*f**3/3 - 13*f**2. Factor u(o).
4*(o + 1)**2
Let u(j) be the third derivative of j**7/140 + 3*j**6/80 + j**5/40 - 3*j**4/16 - j**3/2 - 7*j**2. Factor u(x).
3*(x - 1)*(x + 1)**2*(x + 2)/2
Let h be (-8)/6*4/(-32). Let t be 63/27 + 2/(-6). Find d such that 0 + h*d**t + 1/6*d = 0.
-1, 0
Let p(o) = 2*o**5 - 16*o**4 - 21*o**3 - 17*o**2 - 8*o. Let j(k) = 3*k**5 - 16*k**4 - 21*k**3 - 18*k**2 - 9*k. Let a(m) = 6*j(m) - 7*p(m). Factor a(c).
c*(c + 1)*(c + 2)*(2*c + 1)**2
Factor 0*u**2 + 0*u + 3*u**2 + u**2 + 4*u.
4*u*(u + 1)
Let q = 21 + -19. Let -66*a**q - 4*a**3 - 4*a + 58*a**2 + 0*a**3 = 0. What is a?
-1, 0
Suppose -g - 16 = -3*g. Suppose 4*v - g*v**2 - 2 + 7*v - 9*v**3 - 4*v**2 = 0. What is v?
-2, 1/3
Suppose 33 = 5*o + 23. Let y(g) be the third derivative of -1/20*g**5 + g**3 + 0*g + 3*g**o + 0 - 1/8*g**4. Factor y(l).
-3*(l - 1)*(l + 2)
Let g = 193/4590 + -2/85. Let f = 859/270 + g. Factor -8/5 + 18/5*l**3 - f*l + 6/5*l**2.
2*(l - 1)*(3*l + 2)**2/5
Let r = 49/15 + -3/5. Let 0*b**2 + 0*b + 2/3*b**3 - r*b**4 + 0 = 0. What is b?
0, 1/4
Let z(l) be the second derivative of l**4/4 + 7*l**3 + 147*l**2/2 - 2*l. Factor z(p).
3*(p + 7)**2
Let v = -47 + 49. Let z(a) be the second derivative of 0 + v*a + 0*a**2 - 1/18*a**4 - 1/30*a**5 + 0*a**3. Factor z(c).
-2*c**2*(c + 1)/3
Let x = -107 - -537/5. Let -4/5*j**2 + 4/5 + 2/5*j**3 - x*j = 0. Calculate j.
-1, 1, 2
Let z(p) = -4*p**5 - 5*p**3 - 6*p**2 + 2*p - 1. Let j(f) = f**5 + 2*f**3 + 2*f**2 - f. Let i(n) = 21*j(n) + 6*z(n). Solve i(v) = 0.
-1, 1, 2
Let j(f) be the first derivative of -5*f**4/18 + 14*f**3/27 + 8*f**2/9 - 8*f/9 + 19. Let j(m) = 0. What is m?
-1, 2/5, 2
Let q(f) = f + 7. Let n be q(-7). Let p(u) be the first derivative of n*u**2 - u**4 - 2/3*u**3 + 2 - 2/5*u**5 + 0*u. What is g in p(g) = 0?
-1, 0
Let b(m) be the third derivative of 5*m**8/1344 - m**6/96 - 2*m**2. Find a such that b(a) = 0.
-1, 0, 1
Let q(y) = y**2 + y - 1. Suppose -4*a = -5*w - 0 - 1, -4*w - 3*a = -24. Let x(c) = -4*c**2 - 5*c + 2. Let f(v) = w*q(v) + x(v). Factor f(l).
-(l + 1)**2
Suppose -5*l = -3*l + 28. Let p = 16 + l. Find n, given that 10*n**p + 8*n + 8/5 = 0.
-2/5
Let b be 1/(-3) + (-66)/(-90). Let -2/5*z**5 + 2/5 + 4/5*z**3 + 2/5*z**4 - 4/5*z**2 - b*z = 0. What is z?
-1, 1
Let u = -59 - -64. Let j(h) be the third derivative of 3/2*h**3 + h**2 + 1/60*h**u + 0 - 1/4*h**4 + 0*h. Factor j(w).
(w - 3)**2
Let g(c) be the first derivative of c**7/1120 - c**6/1440 - c**5/240 - 5*c**3/3 + 4. Let q(z) be the third derivative of g(z). Factor q(n).
n*(n - 1)*(3*n + 2)/4
Let f(m) be the second derivative of m**7/105 - m**5/50 + 35*m. Factor f(w).
2*w**3*(w - 1)*(w + 1)/5
Let q(n) = -3*n**4 - 21*n**3 - 21*n**2 + 21*n + 24. Let x(k) = -3*k**4 - 22*k**3 - 20*k**2 + 22*k + 23. Let i(y) = 4*q(y) - 3*x(y). Factor i(v).
-3*(v - 1)*(v + 1)*(v + 3)**2
Let x(g) be the third derivative of g**4/12 - g**3/6 + 2*g**2. Let u be x(2). Find o, given that -8*o**2 + 2*o + 3*o**3 + 6*o - o**u = 0.
0, 2
Let w(q) be the third derivative of -q**7/420 - q**6/240 + q**5/120 + q**4/48 + 6*q**2. Factor w(c).
-c*(c - 1)*(c + 1)**2/2
Let p(y) be the second derivative of 1/40*y**5 - 1/24*y**3 + 0*y**2 - 1/168*y**7 - 3*y + 0*y**4 + 0*y**6 + 0. Let p(k) = 0. Calculate k.
-1, 0, 1
Let j(d) be the first derivative of 0*d + 3 + d**3 - 1/720*d**6 + 0*d**5 + 0*d**2 + 0*d**4. Let g(x) be the third derivative of j(x). Factor g(c).
-c**2/2
Let l(m) be the third derivative of -128*m**7/525 - 32*m**6/75 - 8*m**5/25 - 2*m**4/15 - m**3/30 + 5*m**2. Suppose l(d) = 0. Calculate d.
-1/4
Suppose -23 = -m - 5*z, -m + 3*z = 6*z - 15. Let d be m/1 + (-1 - 2). Determine k, given that 0*k**2 + 0*k + d*k**3 - 2/5*k**4 + 0 = 0.
0
Let c be 400/104 + 2 + 24/(-13). Let d(x) be the second derivative of 0*x**2 + 0 - 2*x + 0*x**3 + 1/100*x**5 + 1/60*x**c. Let d(v) = 0. Calculate v.
-1, 0
Let k(j) = 15*j**2 - j + 1. Let o be k(1). Find t such that t**5 - 2*t**4 - o*t + 15*t - t**3 + t**4 + t**2 = 0.
-1, 0, 1
Let c(h) = -2*h**2 + 14*h. Suppose 11*i + 35 = 4*i. Let a(k) = -2*k**2 + 13*k. Let t(b) = i*c(b) + 6*a(b). Let t(u) = 0. What is u?
0, 4
Suppose -3*q = 2*k - 3, -2*q + 6*k = 3*k - 15. Let m(b) be the first derivative of 2/3*b**q + 2 + b**2 - 4*b. Factor m(g).
2*(g - 1)*(g + 2)
Factor 0*y**2 + 0*y + 0 - 1/3*y**3.
-y**3/3
Suppose 5*m - 10 = 3*f - 1, -5*m + 12 = -4*f. Let d(u) be the second derivative of 1/4*u**3 + m + 1/24*u**4 + 1/2*u**2 - 3*u. Determine z so that d(z) = 0.
-2, -1
Let o(d) be the first derivative of -1/24*d**6 + 0*d + 1/6*d**3 - 3 + 0*d**4 + 1/8*d**2 - 1/10*d**5. Determine v so that o(v) = 0.
-1, 0, 1
Let b(s) be the second derivative of -s**6/240 - s**5/40 - s**4/16 - s**3/12 - 3*s**2/2 - 4*s. Let k(x) be the first derivative of b(x). Factor k(t).
-(t + 1)**3/2
Let w(a) be the second derivative of -a**4/12 - a**2 + 4*a. Let i(q) = 4*q**2 + 10. Let u(x) = -3*i(x) - 14*w(x). Let u(m) = 0. What is m?
-1, 1
Let a(y) = 6*y**3 - 2*y**2 + 2*y - 1. Let m be a(1). Factor m*r**4 + 24*r**3 + 80*r + 38*r**2 + 16*r**3 + 42*r**2 + r**5 + 5*r**4 + 32.
(r + 2)**5
Suppose 6*q + 0 = 18. Let -6*y**3 - 12*y**2 + 5 + 4*y**4 + 11*y**3 + q - 9*y**3 + 4*y = 0. What is y?
-1, 1, 2
Let j be ((-14)/(-21))/((-2)/(-9)). Factor 2 + w**5 - w - 4*w**4 - 4*w + w**3 + 2*w**2 + 3*w**j.
(w - 2)*(w - 1)**3*(w + 1)
Let u(g) be the third derivative of -g**7/420 + g**6/30 + g**5/120 - g**4/6 - 30*g**2. Determine t so that u(t) = 0.
-1, 0, 1, 8
Let g be 2/(-3)*(-11 - (-50)/10). Factor 0 - 1/2*p**g + 0*p - 1/2*p**2 + p**3.
-p**2*(p - 1)**2/2
Let w(j) be the third derivative of -j**10/25200 - j**9/15120 + j**5/20 + 3*j**2. Let m(s) be the third derivative of w(s). Find q such that m(q) = 0.
-2/3, 0
Factor 21*p**2 + 2*p**4 - 6*p**4 + 4*p**3 - 4*p - 17*p**2.
-4*p*(p - 1)**2*(p + 1)
Factor -3/4*s**2 + 0*s + 3/4*s**4 + 0 + 3/4*s**5 - 3/4*s**3.
3*s**2*(s - 1)*(s + 1)**2/4
What is q in -3/5*q + 2/5 + 1/5*q**2 = 0?
1, 2
Let d be (-10)/(-25)*(-75)/(-8). Let i = 9/2 - d. Determine u, given that -1/2 + i*u - 1/4*u**2 = 0.
1, 2
Let y(j) be the second derivative of j**4/78 - 8*j**3/39 + 16*j**2/13 + 8*j. What is