*2 + f + 5*f**2 = 0.
-1, 0
Suppose 5*u + 2 + 8 = -5*q, 5*u = q - 22. Let d(f) = -f**3 - 4*f**2 + 5. Let x be d(u). Let 3 + 1 - x + l**2 = 0. What is l?
-1, 1
Factor 7 - 3*l**5 - 9*l**4 + 30*l**2 - 15*l - 30*l**3 + 24*l**4 - 4.
-3*(l - 1)**5
Let m = -768 + 3843/5. Factor 0 - m*i**2 - 9/5*i.
-3*i*(i + 3)/5
Let f(d) = d**3 - 8*d**2 + d - 5. Let o be f(8). Let z be (2/(-16))/((-1)/2). Determine p so that -6*p**o - z - 1/4*p**2 - 4*p**4 + 3/2*p = 0.
-1, 1/4
Let b(v) be the second derivative of v**8/33600 - v**7/6300 + v**6/3600 + v**4/4 - v. Let m(q) be the third derivative of b(q). Let m(w) = 0. Calculate w.
0, 1
Factor -2/5*q**3 + 2/5*q + 2/5*q**4 + 0 - 2/5*q**2.
2*q*(q - 1)**2*(q + 1)/5
Let g(s) = 22*s + 48. Let t(v) = -v**2 + 45*v + 95. Let j(r) = 5*g(r) - 2*t(r). Determine k, given that j(k) = 0.
-5
Let d(h) be the first derivative of 2*h**5/45 - 2*h**4/9 - 4*h**3/9 + 4*h**2/9 + 10*h/9 - 48. Determine r, given that d(r) = 0.
-1, 1, 5
Factor -512/9 - 2/9*m**4 - 512/9*m - 32/9*m**3 - 64/3*m**2.
-2*(m + 4)**4/9
Let b(c) be the third derivative of c**7/11340 + c**6/540 + c**5/60 + c**4/24 - 3*c**2. Let u(g) be the second derivative of b(g). Suppose u(w) = 0. What is w?
-3
Let r(k) be the first derivative of -2*k**6/3 - 8*k**5/5 + 2*k**4 + 32*k**3/3 + 14*k**2 + 8*k + 9. Solve r(c) = 0.
-1, 2
Let b(w) = -w**4 + w**3 + w**2 - w + 1. Let i(j) = -j**5 - 8*j**3 - 2*j**2 + 9*j - 2. Let u(d) = 12*b(d) + 3*i(d). Let u(r) = 0. Calculate r.
-2, -1, 1
Suppose 3*f - 4 = f. Let d = f + 0. Factor -2*m**d + 6*m**5 - 3*m + 4*m**2 - 5*m**5 - 4*m**2 + 2*m**3 - 1 + 3*m**4.
(m - 1)*(m + 1)**4
Solve -4/3*c**2 + 0 - 2/3*c**3 + 4/3*c**4 + 2/3*c**5 + 0*c = 0 for c.
-2, -1, 0, 1
Let b(d) be the third derivative of 0*d + 0 - 1/36*d**4 + 1/90*d**5 + 1/180*d**6 - 1/9*d**3 - 3*d**2. Factor b(p).
2*(p - 1)*(p + 1)**2/3
Suppose -3*q = -6*q + 15. Determine o so that -o + 2*o**3 - o**q - 7 + 6 + 0*o - o**4 + 2*o**2 = 0.
-1, 1
Let p(b) be the first derivative of 2/11*b**4 + 0*b - 1 + 10/33*b**3 - 2/11*b**2 - 6/55*b**5. Determine t so that p(t) = 0.
-1, 0, 1/3, 2
Suppose -4*i + 0*i = 2*i. What is a in -4/5*a - 2/5*a**2 + i = 0?
-2, 0
Let l be 34074/78 + 2/13. Let b = -4801/11 + l. Factor -4/11 - 10/11*v + 2/11*v**4 + 2/11*v**3 - b*v**2.
2*(v - 2)*(v + 1)**3/11
Suppose -2*p + 9/4 - 1/4*p**2 = 0. Calculate p.
-9, 1
Let b be (12/5)/(-3) + (-312)/(-65). Solve -32/5*c**b - 14/5*c**5 - 4/5*c**2 - 22/5*c**3 + 0 + 0*c = 0.
-1, -2/7, 0
Let i(g) be the third derivative of -g**5/330 - g**4/22 - 3*g**3/11 - g**2. Find t such that i(t) = 0.
-3
Let c(t) = -3*t**2 - 4*t - 1. Let m be c(-1). Solve j**5 + 0 + 0*j**2 + 0*j - 1/2*j**4 + m*j**3 = 0.
0, 1/2
Let y(s) be the first derivative of s**4/6 + 4*s**3/9 + s**2/3 + 17. What is i in y(i) = 0?
-1, 0
Let a be ((-18)/(-30))/((-2)/(-150)). Let p be a/12 - (-9)/(-12). Factor 2/3*c**4 + 0 - 2/3*c**2 + 0*c + 2/3*c**p - 2/3*c**5.
-2*c**2*(c - 1)**2*(c + 1)/3
Let z(s) be the second derivative of 0*s**2 - 1/48*s**4 + 0 - 1/6*s**3 + 3/160*s**5 - 3*s - 7/1440*s**6. Let f(v) be the second derivative of z(v). Factor f(i).
-(i - 1)*(7*i - 2)/4
Let p(l) be the first derivative of -3 - 3/4*l**4 - 1/5*l**5 + 2*l**2 + 0*l + 0*l**3. What is v in p(v) = 0?
-2, 0, 1
Let q(n) = n**2 - 16*n + 42. Let c be q(3). Factor 10/11*z**c + 4/11*z + 0 - 14/11*z**2.
2*z*(z - 1)*(5*z - 2)/11
Let u be (-6)/27 - 4/(-18). Find z such that -z**2 - 2*z**3 + 3*z**2 + u*z**3 = 0.
0, 1
Let j(v) be the third derivative of v**10/60480 - v**4/8 + v**2. Let k(g) be the second derivative of j(g). Let k(f) = 0. What is f?
0
Let s(t) be the second derivative of 3*t**6/70 - 3*t**5/35 - t**4/2 - 2*t**3/7 + 9*t**2/14 + 12*t. What is k in s(k) = 0?
-1, 1/3, 3
Let u(z) = -13*z**2 - 8*z. Let v(p) = -6*p**2 - 4*p. Let g(m) = 2*u(m) - 5*v(m). Factor g(t).
4*t*(t + 1)
Let j(c) be the third derivative of c**7/735 + c**6/420 - c**5/210 - c**4/84 - 5*c**2. Determine s so that j(s) = 0.
-1, 0, 1
Let l(z) be the second derivative of z**6/120 + z**5/20 + z**4/12 - 11*z. Solve l(d) = 0.
-2, 0
Let u be 9/2*4/6. Factor u + 0*v**2 - 2 - 2*v + v**2.
(v - 1)**2
Let -24*v**3 - 72*v**2 - 2*v**4 - 40*v - 83*v + 27*v - v**4 - 48 = 0. Calculate v.
-2
Let w(m) be the first derivative of m**3 - 2*m + 1. Let s(n) = 16*n**2 + n - 11. Let o(h) = 2*s(h) - 11*w(h). Factor o(k).
-k*(k - 2)
Let p(k) be the first derivative of 3*k**5/5 - 3*k**4/2 - 4*k**3 + 3*k**2 + 9*k + 57. Factor p(a).
3*(a - 3)*(a - 1)*(a + 1)**2
Factor -2/3*r**2 + 2/3*r + 4/3.
-2*(r - 2)*(r + 1)/3
Factor -i**2 + 2*i**3 + 2*i**4 - 2*i**4 - i**4.
-i**2*(i - 1)**2
Find j, given that -50/3 - 10/3*j - 1/6*j**2 = 0.
-10
Let v(n) = n + 1. Let p be v(-1). Suppose s + 5*z - 14 - 11 = 0, -5*s + 10 = 2*z. Let 2/5*d**4 - 2/5*d**3 + p*d + s + 0*d**2 = 0. Calculate d.
0, 1
Suppose 3*k + 0 = 6. Let i(j) = j**2 + j - 1. Let r(n) = 7*n**3 + 10*n**2 + 3*n - 1. Let v(b) = k*r(b) - 2*i(b). Find w, given that v(w) = 0.
-1, -2/7, 0
Let n(v) be the first derivative of -7/4*v**2 - 4 + 3/2*v**4 + v - 7/6*v**3. Factor n(h).
(h - 1)*(3*h + 2)*(4*h - 1)/2
Let x be 1/3 - (-10)/6. Find g such that g**4 - 2*g**x + 2*g**3 + 0*g**2 + 3*g**4 = 0.
-1, 0, 1/2
Let a(p) be the third derivative of p**6/40 + 9*p**5/20 - 21*p**4/8 + 11*p**3/2 + 41*p**2. Determine s, given that a(s) = 0.
-11, 1
Suppose 0*p - 4*p = -h + 11, 19 = 5*h - 2*p. Solve 0 + 4/13*m + 6/13*m**4 - 2/13*m**5 - 2/13*m**h - 6/13*m**2 = 0 for m.
-1, 0, 1, 2
Factor 1/7 + 8/7*n**4 + 20/7*n**3 + n + 18/7*n**2.
(n + 1)*(2*n + 1)**3/7
Let a(f) be the first derivative of 2*f**6/9 + 16*f**5/15 + 2*f**4 + 16*f**3/9 + 2*f**2/3 - 14. Solve a(x) = 0 for x.
-1, 0
Let k(m) be the third derivative of m**6/210 - 13*m**5/420 + m**4/56 - 13*m**2. Let k(w) = 0. What is w?
0, 1/4, 3
Let d be 3/((-6)/4)*-3. Let q = 9 - d. Factor 0 + 2/3*y - 1/3*y**q + 1/3*y**2.
-y*(y - 2)*(y + 1)/3
Let b = 25 + -299/12. Let s(x) be the second derivative of 0*x**3 - x + 0*x**2 - b*x**4 - 1/10*x**5 + 0. Find o, given that s(o) = 0.
-1/2, 0
Let r(j) = -j**2 + 5*j + 8. Let d be r(6). Let i(z) = 3*z + 14. Let g be i(-4). Factor -3*x - d*x**2 + 2*x + 2*x**g - x**2.
-x*(x + 1)
Let z(p) be the first derivative of p**4/6 + 2*p**3/3 + p**2 + 2*p/3 - 4. Suppose z(q) = 0. What is q?
-1
Factor 4/3*b**2 + 2/3*b**5 - 2*b**4 - 2*b + 2/3 + 4/3*b**3.
2*(b - 1)**4*(b + 1)/3
Let y = -2/3 + 20/21. Find k such that -24/7*k - 8/7 - 26/7*k**2 - y*k**4 - 12/7*k**3 = 0.
-2, -1
Let c(z) be the second derivative of -z**5/10 - z**4/6 + z**3/3 + z**2 + 4*z. Determine a so that c(a) = 0.
-1, 1
Let h(g) = -g**2 + 6*g + 10. Let l be h(7). Let i(s) be the second derivative of 0*s**2 + 0 - 2/25*s**5 - 1/15*s**l + 2/15*s**4 - 2*s. Factor i(u).
-2*u*(2*u - 1)**2/5
Let l(y) be the third derivative of y**5/300 + y**4/60 - 7*y**2. Factor l(x).
x*(x + 2)/5
Let b be (-7)/28 + (-66)/(-8). Factor -6*v - 1 + b*v + 2*v - 4*v**3 + 4*v**2 - 3.
-4*(v - 1)**2*(v + 1)
Let l(a) be the first derivative of a**5/5 - 2*a**3/3 + a + 8. Find o such that l(o) = 0.
-1, 1
What is j in 1/5*j**2 - 1/5*j - 1/5 + 1/5*j**3 = 0?
-1, 1
Let a(j) be the second derivative of -j**6/3 - 7*j**5/10 - j**4/3 - 20*j. Factor a(h).
-2*h**2*(h + 1)*(5*h + 2)
Factor 2*j**3 - 9471 - 4*j**2 + 9471.
2*j**2*(j - 2)
Suppose 0*i = i - 2. Let o be i + 1/(-1) + 2. Let -2 + 4*k**2 - k + k**2 + 1 - o*k**3 = 0. Calculate k.
-1/3, 1
Determine v so that 4/7*v + 3/7*v**5 + 16/7*v**2 + 0 + 2*v**4 + 23/7*v**3 = 0.
-2, -1, -2/3, 0
Let l(i) be the second derivative of 3*i**5/140 - 3*i**3/14 - 3*i**2/7 - i. Find g, given that l(g) = 0.
-1, 2
Let a(z) be the second derivative of 1/2*z**5 + 7/3*z**3 + 0 + 1/15*z**6 - 3*z + 3/2*z**4 + 2*z**2. Find j such that a(j) = 0.
-2, -1
Let d be (1128/15)/4*-1. Let t = d + 391/20. Factor -1/4*v**3 - 3/4*v - t*v**2 - 1/4.
-(v + 1)**3/4
Let a(t) be the second derivative of -t**4/6 + 2*t**3/3 - 8*t. Factor a(b).
-2*b*(b - 2)
Let v be (-4)/(-14) + 48/28. Factor -3*l - 4*l**v - 4*l + 3*l**2 + 5*l.
-l*(l + 2)
Let z(i) be the second derivative of -1/60*i**5 - 1/90*i**6 + 1/126*i**7 + 3*i + 0*i**2 + 0 + 1/36*i**4 + 0*i**3. Factor z(n).
n**2*(n - 1)**2*(n + 1)/3
Determine x so that 16/5*x**3 - 10 - 12/5*x**2 - 2/5*x**4 - 16*x = 0.
-1, 5
Let w(a) be the second derivative of 3*a**5/40 - a**3/4 - 7*a. Solve w(p) = 0 for p.
-1, 0, 1
Let w(d)