+ 3*q(t). Factor n(c).
-(c - 2)*(c + 1)
Let k = -135 - -141. Let x(l) be the second derivative of -l + 1/45*l**5 - 4/27*l**3 + 1/18*l**4 + 0 - 1/135*l**k - 4/9*l**2. Factor x(j).
-2*(j - 2)**2*(j + 1)**2/9
Factor -4/3*a**4 + 4*a**2 + 0*a + 0 + 8/3*a**3.
-4*a**2*(a - 3)*(a + 1)/3
Let j be (-42)/(-104) + (-18)/117. Let d(x) = x + 8. Let f be d(-8). Suppose f*p + j - 1/4*p**2 = 0. What is p?
-1, 1
Suppose k - 3*k = -4. Let o(c) be the second derivative of 3*c + 3/10*c**5 + 0*c**k - 1/3*c**4 - 4/3*c**3 + 1/6*c**6 + 0 + 1/42*c**7. Factor o(x).
x*(x - 1)*(x + 2)**3
Let g(p) be the second derivative of 3*p**5/80 - p**4/12 - p**3/6 - 13*p. Factor g(o).
o*(o - 2)*(3*o + 2)/4
Let c(x) = -x - 5. Let u be c(-6). Let s = u - -1. Factor -j**4 + 3*j**3 + 3*j**s - 4*j**3 - 4*j**2 + 2 - 2*j**3 + 3*j.
-(j - 1)*(j + 1)**2*(j + 2)
Let k = 8/19 + 3/38. Determine x, given that 0 - 1/4*x**3 - k*x**4 + 0*x**2 - 1/4*x**5 + 0*x = 0.
-1, 0
Suppose -2*i + 29 - 7 = 3*f, -10 = -5*f + 2*i. Suppose 0 = -3*z - 2*z + 4*l + 28, -3*l = -f*z + 22. Factor -g**4 - g**4 + 4*g**z.
2*g**4
Let n = -102 + 307/3. Factor 0 + n*w + 1/3*w**2.
w*(w + 1)/3
Suppose -5 = -4*v + 3*v. Let a(n) be the first derivative of -2/21*n**3 + 0*n + 0*n**2 - 1 + 6/35*n**v + 1/7*n**4. Factor a(q).
2*q**2*(q + 1)*(3*q - 1)/7
Let z(n) be the first derivative of 24389*n**4/4 - 1682*n**3 + 174*n**2 - 8*n - 23. Factor z(l).
(29*l - 2)**3
Let r = -133 - -667/5. Let 0 + 0*h + 0*h**3 + 2/5*h**2 - r*h**4 = 0. Calculate h.
-1, 0, 1
Let n = 47 - 47. Factor 0 + 3/2*q**3 + 1/2*q**5 + n*q - 1/2*q**2 - 3/2*q**4.
q**2*(q - 1)**3/2
Suppose -3*g + 1 = 2*i - 3, 3*g - 4*i = 28. Factor -2*q - q - q**4 + 3*q**3 - 2*q**g + 3*q**2.
-3*q*(q - 1)**2*(q + 1)
Suppose -5*c + 2*n + 0*n + 4 = 0, 5*c = 5*n - 5. Find m such that -2/3*m**3 + 8/3 - c*m**2 + 0*m = 0.
-2, 1
Let a(x) = -x**2 + 1. Let j(b) = 8*b**2 - 8. Suppose w = 2*h, 2*w + h + 3 = w. Let r(g) = w*j(g) - 20*a(g). Factor r(l).
4*(l - 1)*(l + 1)
Let k = -46/11 + 344/77. Let -4/7*o - 2/7 - k*o**2 = 0. What is o?
-1
Factor -r**2 - 6 - 2*r + 6*r + 2 + 0*r.
-(r - 2)**2
Let c = -48 - -145/3. Determine k so that 2/3 - 5/3*k**3 + 3*k**2 + c*k**4 - 7/3*k = 0.
1, 2
Let z(j) be the second derivative of 0 + j**2 - 1/12*j**4 + 7/60*j**5 - 1/6*j**3 + j - 1/30*j**6. Let x(y) be the first derivative of z(y). Factor x(q).
-(q - 1)**2*(4*q + 1)
Let o(r) = 3*r**3 - r**2 + 5*r. Let a(p) = -2*p - 3. Let b be a(-4). Let t(l) = 4*l**3 + 6*l. Let q(i) = b*t(i) - 6*o(i). Determine k, given that q(k) = 0.
-3, 0
Suppose 5*z = z. Let l = z - -5. Let -12/7*a**3 + 8/7*a**4 - 2/7*a + 8/7*a**2 - 2/7*a**l + 0 = 0. Calculate a.
0, 1
Factor 0 + 0*o**2 + 2/3*o**3 - 2/3*o.
2*o*(o - 1)*(o + 1)/3
Suppose 0 = -2*u + u - 5. Let y(t) = -t - 3. Let n be y(u). What is r in -2/9*r**3 + 2/9*r**4 + 2/9*r - 2/9*r**n + 0 = 0?
-1, 0, 1
Let t be (6/(-15)*3)/(6/(-20)). Let s = -4 + 6. Factor 4 + 0 - 2*g**s - 3 + 3*g**t - 2*g**4.
(g - 1)**2*(g + 1)**2
Let o(z) be the second derivative of -1/6*z**4 + 8/3*z**3 - 2*z - 16*z**2 + 0. Factor o(f).
-2*(f - 4)**2
Let j(n) be the first derivative of -n**2 + 0*n**3 - n - 2 + 1/6*n**4. Let f(z) be the first derivative of j(z). Suppose f(t) = 0. Calculate t.
-1, 1
Let c(t) be the third derivative of -3*t**7/35 - t**6/30 + 3*t**5/10 + t**4/6 + 11*t**2 - 3. Factor c(x).
-2*x*(x - 1)*(x + 1)*(9*x + 2)
Factor 4*o - 5*o + o + 8*o - 4*o**2.
-4*o*(o - 2)
Let c = -12 - -12. Let q(v) be the third derivative of 0*v**3 - 1/24*v**4 + 1/20*v**5 + v**2 + 0*v + c + 1/30*v**6. Factor q(r).
r*(r + 1)*(4*r - 1)
Let t(u) be the third derivative of u**7/1260 - u**5/60 - u**4/18 + 2*u**3/3 + 6*u**2. Let d(m) be the first derivative of t(m). Let d(o) = 0. Calculate o.
-1, 2
Suppose 0 = -6*k + k + 35. Let g = k + -5. Factor -1/2*f**g - f + f**3 + 3/4*f**4 - 1/4.
(f - 1)*(f + 1)**2*(3*f + 1)/4
Let y(i) be the second derivative of i**7/84 - i**6/30 + i**4/12 - i**3/12 + 9*i. Factor y(t).
t*(t - 1)**3*(t + 1)/2
Let m = 14 - 9. Let r(b) be the second derivative of 3/5*b**6 + 4/21*b**7 - 4/3*b**4 - 2*b**3 - 2*b + 0 + 1/5*b**m - b**2. Factor r(v).
2*(v - 1)*(v + 1)**3*(4*v + 1)
Let p(u) be the first derivative of -u**7/420 - u**6/180 + u**5/30 - u**3 - 2. Let n(q) be the third derivative of p(q). Factor n(h).
-2*h*(h - 1)*(h + 2)
Let j = 101 - 705/7. Factor 4/7*i + j + 2/7*i**2.
2*(i + 1)**2/7
Let z = 63/5 - 59/5. Factor -8*a - z - 117/5*a**2 - 81/5*a**3.
-(a + 1)*(9*a + 2)**2/5
Find d such that -8*d**3 + 20*d**2 + 20*d - 12*d**5 + 17 - 13 - 28*d**4 + 4*d**2 = 0.
-1, -1/3, 1
Let d = -24/7 - -69/14. Suppose q**4 + 3/2*q - 1/2*q**2 - d*q**3 - 1/2 = 0. What is q?
-1, 1/2, 1
Let i(a) be the first derivative of 4*a**3/3 - a**2 - 2*a + 14. Determine b so that i(b) = 0.
-1/2, 1
Suppose -3*d + x + 19 = -x, -3*d + x + 14 = 0. Let i be d/2*3 + -3. Factor 1/2*y**2 + 3/2*y**3 - i*y - 1/2.
(y - 1)*(y + 1)*(3*y + 1)/2
Suppose -d = 10 - 34. Suppose 0 = 5*r - d - 1. Suppose 3/4*o**r + 3*o**2 - 3/2*o**3 + 3/4*o - 3/2 - 3/2*o**4 = 0. Calculate o.
-1, 1, 2
Let x(q) be the first derivative of -49/3*q**6 - 40*q**2 + 8*q - 235/2*q**4 - 2 + 290/3*q**3 + 70*q**5. Let x(g) = 0. Calculate g.
2/7, 1
Let 1/5*j**2 + 6/5 - j = 0. Calculate j.
2, 3
Let b(i) be the second derivative of i**9/1008 - i**8/280 - i**7/210 - i**4/12 - 3*i. Let z(q) be the third derivative of b(q). Factor z(n).
3*n**2*(n - 2)*(5*n + 2)
Suppose 0 = 3*z - 9*z. Let t(r) be the first derivative of 0*r**2 + 2/9*r**3 + z*r + 0*r**4 - 2/15*r**5 - 2. Factor t(u).
-2*u**2*(u - 1)*(u + 1)/3
Let y = -19/5 + 4. Let -1/5*n**3 + y*n**5 + 0 + 0*n + 1/5*n**4 - 1/5*n**2 = 0. What is n?
-1, 0, 1
Let z(r) be the first derivative of r**6/8 - 7*r**5/20 + r**4/8 + r**3/2 - 5*r**2/8 + r/4 + 9. Find h such that z(h) = 0.
-1, 1/3, 1
Let q(s) be the second derivative of -s**4/24 - s**3/2 - 9*s**2/4 + 6*s. Factor q(m).
-(m + 3)**2/2
Let g(h) be the second derivative of -2*h**7/147 - h**6/105 + 2*h**5/35 + h**4/21 - 2*h**3/21 - h**2/7 + 8*h. What is t in g(t) = 0?
-1, -1/2, 1
Let v(w) be the first derivative of w**3/2 - 3*w**2/4 - 15. Factor v(p).
3*p*(p - 1)/2
Suppose 15*g = 26*g - 14*g. Factor 0*t**3 - 1/2 + g*t - 1/2*t**4 + t**2.
-(t - 1)**2*(t + 1)**2/2
Factor -11/5*c - 1/5*c**2 + 0.
-c*(c + 11)/5
Let q = -524 - -526. Solve -4/5*r + 18/5*r**q + 0 = 0 for r.
0, 2/9
Let p(w) = -21*w**2 + 1 + 5 - 7*w + 3. Let f(g) = -32*g**2 - 10*g + 14. Let j be ((-4)/6)/(2/15). Let a(u) = j*f(u) + 8*p(u). Solve a(x) = 0.
-1, 1/4
Determine x so that -x + 3/2*x**2 + 0 - 1/2*x**3 = 0.
0, 1, 2
Let u(s) be the third derivative of s**6/40 + 9*s**5/50 + 3*s**4/10 - 4*s**3/5 + 3*s**2. Factor u(m).
3*(m + 2)**2*(5*m - 2)/5
Let p be 8/(-28) + 24/63. Let n(x) be the third derivative of 0 - x**2 + 1/84*x**4 + 0*x + p*x**3 - 1/210*x**5. Determine d so that n(d) = 0.
-1, 2
Let j(q) be the second derivative of -1/80*q**5 + 1/16*q**4 + 1/8*q**2 - 1/8*q**3 + 0 - 4*q. Determine x so that j(x) = 0.
1
Suppose 3*y - 52 = -4*n, -3 = -3*y - n + 55. Let z = 20 - y. Factor -1/2*l + 1/2*l**3 + z - 1/2*l**4 + 1/2*l**2.
-l*(l - 1)**2*(l + 1)/2
Let u(k) be the third derivative of k**5/6 - 2*k**4/3 - 4*k**3/3 - 2*k**2. Find w such that u(w) = 0.
-2/5, 2
Let c(o) = o**3 + 7*o**2 + 4*o - 3. Let w(u) = u**2 - 1. Let j(i) = 2*c(i) - 6*w(i). Find b such that j(b) = 0.
-2, 0
Let f = -2 + 6. Suppose f*b - 2*b = 0. Find p such that b - 4/3*p - 2/3*p**2 = 0.
-2, 0
Let q(v) be the first derivative of v**7/168 - v**5/40 + v**3/24 + v + 4. Let z(n) be the first derivative of q(n). Determine a so that z(a) = 0.
-1, 0, 1
Suppose 6 + 19 = 5*l. Let i(d) be the third derivative of 0 - 1/300*d**l - d**2 + 1/120*d**4 + 1/15*d**3 + 0*d. Factor i(z).
-(z - 2)*(z + 1)/5
Let g(i) be the third derivative of -i**6/300 + i**5/75 - i**4/60 - 11*i**2. Let g(d) = 0. What is d?
0, 1
Let j = -5 - -7. Suppose j*w - 3*w = -3. Factor 2*t**w - 2*t + 3*t**4 + 2*t**2 + 3*t**4 - 8*t**2.
2*t*(t - 1)*(t + 1)*(3*t + 1)
Let n(f) = -f**2 + 6*f. Let c be n(5). Solve 9*m**2 - 3*m**3 - 10*m + 2 + 3*m**2 - c*m + 4 = 0 for m.
1, 2
Let g(n) be the second derivative of n**5/10 + 2*n**4 + 16*n**3 + 64*n**2 + 11*n. Determine x, given that g(x) = 0.
-4
Let m(w) be the third derivative of 0*w**3 - 1/300*w**6 + 0*w**4 + 0 - 3*w**2 + 1/1050*w**7 + 1/300*w**5 + 0*w. What is o in m(o) = 0?
0, 1
Let