1. Factor j(l).
2*l*(l + 1)**2*(5*l - 2)/5
Suppose 2 = -b + 4. Factor a + 0*a**b - 4*a - 3*a**2.
-3*a*(a + 1)
Factor -6*q**2 - 120*q + 80*q + 2*q**2.
-4*q*(q + 10)
Suppose -d = 4*d - 85. Let y = d - 17. Factor -2*a**4 + 0*a**2 - 4/9*a**3 + y - 14/9*a**5 + 0*a.
-2*a**3*(a + 1)*(7*a + 2)/9
Find v such that -7*v**3 + v**4 + 8*v**3 - 2*v**3 = 0.
0, 1
Let f = -17 - -21. Let g(i) be the first derivative of 0*i - 1/14*i**f - 1 + 0*i**2 - 2/21*i**3. Factor g(o).
-2*o**2*(o + 1)/7
Let l = -29 + 31. Solve -4/7*k - 2/7 - 2/7*k**l = 0.
-1
Let n = 2 + -29. Let u be 3/(n/6)*-3. Factor 2*p**2 + p**3 - u*p**3 - p**2.
-p**2*(p - 1)
Let s = -122 - -122. Factor 0 + s*d + 1/4*d**2.
d**2/4
Solve 10/11*d + 2/11*d**2 + 0 = 0.
-5, 0
Let d(i) be the second derivative of 5*i**4/6 + 8*i**3/3 - 4*i**2 + 4*i. Find h, given that d(h) = 0.
-2, 2/5
Let v be (-5 + -1)/(231/10). Let z = v - -6/11. Factor -z*l**2 - 2/7*l + 0.
-2*l*(l + 1)/7
Let l be 16/40*(-20)/3 + 3. Let l*t**2 + 2/3 - t = 0. What is t?
1, 2
Let d(y) be the second derivative of y**4/54 + y**3/9 - 4*y**2/9 + 11*y - 2. Solve d(o) = 0 for o.
-4, 1
Suppose 3*t = 3*z + 42, 0*z + t = 4*z + 56. Let f be z/(-5) + (-1)/(-5). Determine d, given that 5*d**2 + 0*d**3 - d**3 - f*d**2 + 3*d**3 = 0.
-1, 0
Let g(y) be the first derivative of -y**3/4 + 9*y**2/8 + 8. Factor g(l).
-3*l*(l - 3)/4
Let s(n) be the second derivative of -n**4/6 - n**3 - 2*n**2 + 25*n. Factor s(z).
-2*(z + 1)*(z + 2)
Let q(l) be the third derivative of -2*l**2 - 1/40*l**5 + 0 - 1/4*l**3 + 1/8*l**4 + 0*l. Let q(z) = 0. Calculate z.
1
Factor -3 - 4*v - 9*v**2 + 11 + 5*v**2.
-4*(v - 1)*(v + 2)
Let v be (-2 + 3/(-6))*-2. Solve 6*r**2 - v + 8*r + 5 - 2*r**4 - 4*r = 0.
-1, 0, 2
Let t be (-9)/18*(3 - 1). Let d be 0/t - (-4 + 1). Let -10/7*l**4 - 6/7*l**5 + 0*l + 0*l**2 + 0 + 4/7*l**d = 0. What is l?
-2, 0, 1/3
Let d(o) be the second derivative of o**6/180 - o**5/120 - o**4/24 + 5*o**3/36 - o**2/6 + 18*o. Suppose d(c) = 0. Calculate c.
-2, 1
Find f such that 0 + 2/3*f**4 + 0*f - 5/3*f**3 - 2/3*f**2 + 5/3*f**5 = 0.
-1, -2/5, 0, 1
Factor -j**2 - 11*j - j**2 - j - 2*j**2.
-4*j*(j + 3)
Let s be 3 + 0/(-11 + 3). Find v such that 9/4*v**2 - 3*v + 3/2*v**s - 3/4*v**4 - 3 = 0.
-1, 2
Factor 8/5*i + 6/5 + 2/5*i**2.
2*(i + 1)*(i + 3)/5
Let g be ((-6)/9)/(3/(-3)). Suppose -4*i = 2*p - 20, -p + 6 = i - 1. Find d such that g*d**5 + 0 + 10/9*d**i + 0*d - 14/9*d**4 - 2/9*d**2 = 0.
0, 1/3, 1
Let d(w) = -w**3 - 2*w**2 - 3*w. Let b(t) = -2*t**3 - 4*t**2 - 7*t. Suppose -y + 2 = -1. Let v(l) = y*b(l) - 7*d(l). Factor v(z).
z**2*(z + 2)
Determine g, given that -4*g**3 + 9*g**4 - 4*g**2 - 7*g**4 + 2 + 2*g + 0*g + 2*g**5 = 0.
-1, 1
Let j(m) be the second derivative of m**6/1260 - m**5/105 + m**4/21 + m**3/2 + 2*m. Let v(t) be the second derivative of j(t). Factor v(g).
2*(g - 2)**2/7
Let c(p) be the first derivative of p**7/189 + p**6/135 - p**5/90 - p**4/54 - 3*p - 1. Let u(i) be the first derivative of c(i). Factor u(x).
2*x**2*(x - 1)*(x + 1)**2/9
Suppose 16 = 2*i - 4*s, 2*i - 7*i - 5*s - 5 = 0. Let k(g) be the second derivative of 1/70*g**5 + 1/7*g**4 + 2*g + 8/7*g**i + 0 + 4/7*g**3. Factor k(f).
2*(f + 2)**3/7
Suppose 4*l + p = -3 - 8, l = -5*p + 21. Let n be ((-4)/12)/(l/16). Determine m, given that 15*m**4 - 8*m - 1/3*m**3 + 25/3*m**5 - 41/3*m**2 - n = 0.
-1, -2/5, 1
Suppose -10*c + 16 = -2*c. Find t such that 0*t**c + 1/4*t - 1/4*t**3 + 0 = 0.
-1, 0, 1
Let d be (-29)/(-9) + (-8)/36. Suppose d*r = r. Determine q, given that 0 - 4/7*q**3 + 2/7*q**4 + r*q + 2/7*q**2 = 0.
0, 1
Let x(v) = -v**2 + 6*v. Let c(i) = i + 11. Let a be c(-5). Let s be x(a). Suppose 0 + 4/7*w**2 - 4/7*w**4 - 2/7*w**5 + 2/7*w + s*w**3 = 0. What is w?
-1, 0, 1
Let n(p) be the first derivative of -p**8/4200 - p**7/2100 + p**6/900 + p**5/300 + 4*p**3/3 - 1. Let z(o) be the third derivative of n(o). Factor z(c).
-2*c*(c - 1)*(c + 1)**2/5
Let b be (104/6)/(4/12). Let w be (-8)/b - 80/(-182). What is f in -6/7*f - w*f**2 - 4/7 = 0?
-2, -1
Suppose 229*t - 238*t = -27. Determine n so that 0*n + 1/4*n**2 - n**5 + 9/4*n**4 + 0 - 3/2*n**t = 0.
0, 1/4, 1
Let h(f) = f**3 - 8*f**2 + 6*f + 7. Let l be h(7). Factor -3*s**2 + l*s**2 - 3*s**2 + 4*s**2 + 2.
-2*(s - 1)*(s + 1)
Let s = 15/7 - 68/35. Let j(o) be the third derivative of 3*o**2 + 0*o + 1/100*o**5 + 0 - s*o**3 + 1/40*o**4. Factor j(n).
3*(n - 1)*(n + 2)/5
Let o(r) be the second derivative of 0*r**3 + 1/165*r**6 - 1/231*r**7 - 1/66*r**4 + 1/110*r**5 + 0 + 0*r**2 + 2*r. Factor o(j).
-2*j**2*(j - 1)**2*(j + 1)/11
Let w(l) be the second derivative of 0*l**3 + 0*l**6 - 1/50*l**5 + 0 + 0*l**4 + 1/105*l**7 + 0*l**2 - 4*l. Factor w(n).
2*n**3*(n - 1)*(n + 1)/5
Let m = -5/74 - -1081/666. Factor 16/9*f + 0 + 2/9*f**5 + 4*f**3 - m*f**4 - 40/9*f**2.
2*f*(f - 2)**3*(f - 1)/9
Let d(h) = -8*h - 13. Let x be d(-2). Let f(t) be the first derivative of -1/6*t**x - 1 + 1/8*t**4 - 1/4*t**2 + 1/2*t. Solve f(k) = 0 for k.
-1, 1
Let l(p) be the second derivative of -p**5/210 - 2*p**2 + 2*p. Let o(d) be the first derivative of l(d). Factor o(x).
-2*x**2/7
Let k(j) be the second derivative of j**4/3 - 16*j**3 + 288*j**2 + j + 1. Factor k(u).
4*(u - 12)**2
Let r(t) be the third derivative of t**9/4536 - t**8/2016 + t**7/5040 - t**3 + 6*t**2. Let x(c) be the first derivative of r(c). Factor x(z).
z**3*(z - 1)*(4*z - 1)/6
Let p(z) be the third derivative of -z**6/600 + z**5/50 - 3*z**4/40 + 42*z**2. What is k in p(k) = 0?
0, 3
Suppose l = 5*a - 5, -5*l = -5*a - 6*l - 5. Suppose 0 = j + 3*j - b, a = j - 4*b + 15. Factor -7/2*g + 4*g**2 + j - 3/2*g**3.
-(g - 1)**2*(3*g - 2)/2
Let j = 200 - 200. Find z such that 3/4*z + j*z**2 - 1/4 - z**3 = 0.
-1, 1/2
Suppose 0 = -6*h + 3*h + 6. Solve 3*w**2 + 2*w + h*w**2 - w**2 - 5*w**2 = 0.
0, 2
Factor -18*w**2 + 9*w + 12*w + w - 4.
-2*(w - 1)*(9*w - 2)
Let j(h) = h**3 + 7*h**2 - 8*h + 2. Let f be j(-8). Factor -v**2 + v**3 + 4*v**2 - 4*v**f + 0*v**3.
v**2*(v - 1)
What is v in 96/7*v + 2/7*v**3 - 24/7*v**2 - 128/7 = 0?
4
Let x(a) be the first derivative of 0*a + 3 - 1/2*a**2 + 1/2*a**3 - 1/8*a**4. Factor x(q).
-q*(q - 2)*(q - 1)/2
Let f(w) be the second derivative of 0 + 1/18*w**6 - 1/18*w**4 + 4*w + 0*w**2 + 1/20*w**5 + 0*w**3. Find g, given that f(g) = 0.
-1, 0, 2/5
Let p be (2/8)/(1/(-48)*-6). Let l(d) be the second derivative of -d + 1/6*d**3 + 1/12*d**4 + 0*d**p + 0. Factor l(f).
f*(f + 1)
Suppose -2*j + 8 = -5*i + 6*i, 3*i - 5*j = -20. Let h(u) be the first derivative of -1 - 1/4*u**4 + i*u - 2*u**2 + 4/3*u**3. Suppose h(z) = 0. What is z?
0, 2
Let l(m) be the third derivative of m**4/24 + m**3/3 - m**2. Let x be l(0). Factor -4 + 2*o - o**x + 1 + 3.
-o*(o - 2)
Let j(l) be the third derivative of -1/15*l**7 - 1/56*l**8 + 0*l**4 + 0 + 0*l**6 + 0*l + 2/15*l**5 + 0*l**3 - 7*l**2. Find n, given that j(n) = 0.
-2, -1, 0, 2/3
Suppose 0 + 9/4*t**2 - 9/4*t**4 - 3/2*t + 3/2*t**3 = 0. What is t?
-1, 0, 2/3, 1
Let u(y) = -4*y**3 + 9*y**2 + y - 3. Let i(d) = d - 3*d**2 + 7*d**2 - 3*d**2 - 1. Suppose -2*g - g + 3 = 0. Let r(v) = g*u(v) - 3*i(v). Solve r(n) = 0 for n.
0, 1/2, 1
Let f(l) = -l + 4. Let k be f(4). Let k*d**2 + 18*d**3 + 14*d**4 + 40*d + 4*d**2 - 40*d = 0. Calculate d.
-1, -2/7, 0
Let w(y) be the second derivative of 2*y**6/15 - y**5/5 - 16*y**4/3 - 40*y**3/3 - 29*y. Solve w(s) = 0.
-2, 0, 5
Factor -1/2*d + d**2 - 5/8*d**3 + 1/8*d**4 + 0.
d*(d - 2)**2*(d - 1)/8
Let u(x) be the second derivative of -x**7/112 - 9*x**6/80 - 81*x**5/160 - 27*x**4/32 + 12*x. Factor u(l).
-3*l**2*(l + 3)**3/8
Let n be 0 + -3 - (-9 + 4). Let u(w) be the second derivative of 0*w**n - w + 0 + 0*w**4 - 1/10*w**5 + 0*w**3. Factor u(z).
-2*z**3
Let s(v) be the first derivative of v**6/27 - 4*v**5/45 - v**4/6 + 8*v**3/27 + 4*v**2/9 - 25. Find o such that s(o) = 0.
-1, 0, 2
Let z(g) be the first derivative of -g**6/3 + 6*g**5/5 - 3*g**4/2 + 2*g**3/3 + 20. Factor z(k).
-2*k**2*(k - 1)**3
Suppose -8/7 + 1/7*l**3 - 6/7*l**2 + 12/7*l = 0. What is l?
2
Let m(o) be the second derivative of o**4/16 + 3*o**3/4 + 15*o**2/8 - 24*o. Solve m(v) = 0.
-5, -1
Let a = 75 + -75. Let x(y) be the third derivative of 1/60*y**6 - 2/3*y**3 + 5/12*y**4 + 0 - 4*y**2 - 2/15*y**5 + a*y. Suppose x(b) = 0. Calculate b.
1, 2
Suppose 2/13*c**3 + 0*c**2 + 0*c + 0 = 0. What is c?
0
Suppose 7*n = 3*n. Let f(s