 + 4. Let j(w) = r*c(w) + 4*t(w). Factor j(b).
4*b*(b - 2)*(b + 2)
Suppose b = a + 3*a - 2, -5*b + 20 = -5*a. Let g be (2 - 1)/(3*(-3)/(-18)). Suppose -3*m**3 + 2*m**2 - 4*m**g + b*m - m**2 = 0. What is m?
-2, 0, 1
Let a = -4 - -6. Let o be a/((-1)/3*-3). Factor 4 - 2 - o*p - 2 - 10*p**2 - 6*p**3 + 2.
-2*(p + 1)**2*(3*p - 1)
Let a(o) be the third derivative of o**5/20 + 17*o**4/4 - 35*o**3/2 + 708*o**2. Factor a(l).
3*(l - 1)*(l + 35)
Solve 0*t**2 + 2/17*t**3 + 24/17 - 26/17*t = 0.
-4, 1, 3
Factor -6 + 22/7*j**2 + 19/7*j + 1/7*j**3.
(j - 1)*(j + 2)*(j + 21)/7
Let j(u) = -2*u + 1. Let x(s) = 4*s**2 + 20*s + 12. Let t(h) = 12*j(h) - x(h). Factor t(v).
-4*v*(v + 11)
Suppose -1668/7*c**2 - 2704/7 + 4264/7*c + 110/7*c**3 - 2/7*c**4 = 0. What is c?
1, 2, 26
Let f(l) be the first derivative of -l**5/80 + l**3/8 - l**2/4 + 7*l + 8. Let v(k) be the first derivative of f(k). Let v(w) = 0. Calculate w.
-2, 1
Let c(u) = -71*u**4 + 170*u**3 - 79*u**2 - 5*u + 17. Let r(l) = -24*l**4 + 57*l**3 - 26*l**2 - 2*l + 6. Let a(y) = -6*c(y) + 17*r(y). Factor a(z).
z*(z - 2)*(3*z - 2)*(6*z - 1)
Let a(i) = -19*i**3 - 2*i**2 + 1. Let x be (12/4 - 4)/1. Let d be a(x). Suppose 42*f**2 - d*f**2 + 2*f - 21*f**2 = 0. Calculate f.
-2/3, 0
Let q(p) be the second derivative of 0*p**2 + 1/3*p**4 - 2/3*p**3 + 19*p + 0. Factor q(t).
4*t*(t - 1)
Let h(d) be the third derivative of -d**6/40 - 27*d**5/20 - 51*d**4/8 - 25*d**3/2 - 8*d**2 + d. Let h(t) = 0. Calculate t.
-25, -1
Let g = 41 - 39. Suppose 2*r - r**3 - 3*r**2 + 4*r**g - 2 + 2 = 0. Calculate r.
-1, 0, 2
Let u(k) be the first derivative of -k**5/240 + k**4/96 + 5*k**2/2 + 16. Let o(q) be the second derivative of u(q). What is m in o(m) = 0?
0, 1
Suppose -g - 2*g = 271 - 280. Solve 3/10*a + 1/10*a**g - 3/10*a**2 - 1/10 = 0.
1
Let i(m) = -45*m**2 - 75*m - 135. Let x(u) = 37*u**2 + 75*u + 134. Let b(j) = 4*i(j) + 5*x(j). Find p such that b(p) = 0.
-13, -2
Let m(i) be the second derivative of i**5/100 + i**4/12 + i**3/5 + 2*i + 17. Factor m(r).
r*(r + 2)*(r + 3)/5
Let y be (8/5)/(-9 - (-561)/60). Factor -y*p + 16/7*p**2 - 2/7*p**3 + 0.
-2*p*(p - 4)**2/7
Let z be 2/(-8) + (-21)/(-84). Let n(w) be the third derivative of 1/40*w**6 + 0*w + z*w**3 + 0 + 0*w**5 + 3*w**2 + 1/70*w**7 + 0*w**4. Solve n(d) = 0 for d.
-1, 0
Factor 162/5*i + 72*i**2 + 0 + 74/5*i**3 + 4/5*i**4.
2*i*(i + 9)**2*(2*i + 1)/5
Suppose -4*g + 4 = 0, 4*j - 30*g = -25*g + 7. What is f in 15/7*f**4 + 0 - 6/7*f + 27/7*f**2 - 36/7*f**j = 0?
0, 2/5, 1
Factor 78*r**3 - 99*r**3 + 174*r**2 + 90 - 300*r - 18.
-3*(r - 6)*(r - 2)*(7*r - 2)
Let j(t) be the first derivative of 12*t**3 - 39 + 8*t + 4/5*t**5 - 5*t**4 - 14*t**2. Let j(a) = 0. What is a?
1, 2
Let p(h) be the first derivative of -19 - 2/9*h**3 + 1/24*h**4 - 1/3*h + 5/12*h**2. Suppose p(s) = 0. What is s?
1, 2
Let q be 40*3/(-18)*-1. Let t = 98/3 - -14/3. Determine k, given that 88/3*k**3 + q*k**4 + 32/3*k + t*k**2 + 0 = 0.
-2, -2/5, 0
Let m(h) be the first derivative of -121*h**3/12 + 11*h**2 - 4*h + 374. Factor m(l).
-(11*l - 4)**2/4
Let z = 260 - 260. Let t(u) be the second derivative of -1/20*u**4 + 2/5*u**3 + u + z - 6/5*u**2. Find s such that t(s) = 0.
2
Suppose -2*c = 4*g - 80, -4*g + 19 + 59 = c. Factor -5*t**3 - 11*t**3 + g*t**3 - 3*t.
3*t*(t - 1)*(t + 1)
Let i = 282347/7 - 40335. Determine k so that i*k**3 + 6/7*k + 8/7*k**2 + 0 = 0.
-3, -1, 0
Let r be (16/(-30))/((-315)/450). Factor -2/3*f**3 - 40/21*f - r - 12/7*f**2 - 2/21*f**4.
-2*(f + 1)*(f + 2)**3/21
Factor 3 - 15/4*l**2 - 3/2*l + 3/8*l**5 + 3/8*l**3 + 3/2*l**4.
3*(l - 1)**2*(l + 2)**3/8
Let v(m) be the third derivative of -m**8/560 - 16*m**7/175 - 33*m**6/20 - 242*m**5/25 + 1331*m**4/40 - 145*m**2. Factor v(s).
-3*s*(s - 1)*(s + 11)**3/5
Let l be 25/66 - (-21 + 2625/126). Factor -l*c**2 + 2/11*c + 0 - 2/11*c**4 + 6/11*c**3.
-2*c*(c - 1)**3/11
Suppose 2*s = 4*w + 22 - 4, w - 3 = -2*s. Let r be (-12)/(-234)*2*s. Factor -r*o + 2/13*o**3 + 0 + 2/13*o**2.
2*o*(o - 1)*(o + 2)/13
Determine u, given that -4/19*u + 6/19*u**2 + 0 + 4/19*u**3 = 0.
-2, 0, 1/2
Let z = 61 + -58. Find p such that -8*p + 4 - z + p**3 + 5*p**2 + 3 + 16*p = 0.
-2, -1
Let c = 4/16025 + 44866/16025. Factor -4 + 6/5*b**2 - c*b.
2*(b + 1)*(3*b - 10)/5
Let y(v) = -2*v + 2. Let l be y(-1). Find u, given that -u**l - 8*u**4 + 19*u**4 - 13*u**4 = 0.
0
Let r = 882 - 880. Factor 0*p**r + 6/7*p**3 + 3/7*p**4 - 3/7 - 6/7*p.
3*(p - 1)*(p + 1)**3/7
Let f(p) be the second derivative of -3*p**5/20 + 5*p**4/4 - 3*p**3/2 - 27*p**2/2 + 36*p - 4. Let f(c) = 0. Calculate c.
-1, 3
Let l(k) be the third derivative of -k**5/60 - 59*k**4/12 - 116*k**3/3 + 626*k**2. Determine o so that l(o) = 0.
-116, -2
Let t be (-3)/12*8/(-10). Let b be 54/(-90)*(-2 - 14/(-6))*-1. Solve b - 2/5*g + t*g**2 = 0.
1
Suppose 2*o - 4*o = 0. Let r be (0 - 5)/(-1 + o). Determine i, given that 18*i**3 - 38*i**4 - 2*i**2 - 12*i**3 + 26*i**r - 2*i**5 + 10*i**3 = 0.
0, 1/4, 1/3, 1
Let g(d) be the first derivative of -d**6/24 - d**5/4 + d**4/16 + 29*d**3/12 + 3*d**2/2 - 9*d + 146. Suppose g(x) = 0. Calculate x.
-3, -2, 1, 2
Suppose 2*a - 8 = 4*j, -2*j - 3*j + 3 = 4*a. Suppose -154*b + 38*b + 25*b = 77*b. Find x such that 0 + 4/7*x**a + b*x = 0.
0
Let x(y) be the third derivative of y**5/270 - 23*y**4/54 + 529*y**3/27 + 240*y**2. Suppose x(k) = 0. Calculate k.
23
Let i(u) = 8 + 2*u - 4*u - 9. Let c be i(-2). Factor 9*s + 2*s**3 - s**c - 4 - 2 - 4*s**3.
-3*(s - 1)**2*(s + 2)
Let s(k) = 8*k**4 - 6*k**3 - 4*k**2 + 9*k - 4. Let l(y) = 2*y**4 - y**3 + y**2 - y. Let o(a) = 3*l(a) - s(a). Solve o(m) = 0 for m.
-2, 1/2, 1, 2
Suppose 0 = n + 12 - 40. Let w(z) = z**2 + 1. Let g(b) = -2*b - b - 7 + 4*b - 7*b**2 - b**3. Let d(j) = n*w(j) + 4*g(j). Factor d(r).
-4*r*(r - 1)*(r + 1)
Suppose -59*y = -58*y + 8. Let r be 4*(9 + y)/(0 - -1). Factor 3/2*s**3 + 1/2*s**r + 1/2*s + 3/2*s**2 + 0.
s*(s + 1)**3/2
Factor -72*n + 57*n**2 - 32 - 232*n**2 + 68*n**2 + 79*n**2.
-4*(n + 2)*(7*n + 4)
Suppose 1 = 13*f + 1. Let v(s) be the second derivative of 0 + 3*s + 0*s**3 + f*s**2 + 1/8*s**4. Factor v(z).
3*z**2/2
Let g(f) = f**3 - f**2 - f - 2. Let d(w) = -8*w**3 - 24*w**2 + 110*w - 60. Let s(o) = d(o) + 6*g(o). Factor s(r).
-2*(r - 2)*(r - 1)*(r + 18)
Find s, given that 27 - s**2 - 23*s + 14 + 25 - 9 - 7 = 0.
-25, 2
Factor 1/3*c**5 - 7/3*c**4 - 25/3*c**2 - 4/3 + 16/3*c + 19/3*c**3.
(c - 2)**2*(c - 1)**3/3
Suppose 18*h = h + 901. Let i = h + -49. Factor -6*o - 4*o**i - 4/3 - 28/3*o**3 - 32/3*o**2 - 2/3*o**5.
-2*(o + 1)**4*(o + 2)/3
Find h, given that -3/2*h**2 + 0*h + 3/4*h**4 + 0*h**3 + 3/4 = 0.
-1, 1
Let n(a) be the first derivative of 39 + 1/18*a**2 + 0*a - 1/27*a**3. Let n(y) = 0. What is y?
0, 1
Let a = 229121/21 + -10908. Let s = a - 13/7. Solve -s*x**2 + 8/3*x - 2 = 0 for x.
1, 3
Let q(f) = f**2 + 1. Let z be q(-1). Suppose 0 = 2*b - z - 12. Solve -14*g**3 - 12*g**4 - 3*g - 11*g**2 - 13*g**3 - b*g**2 = 0 for g.
-1, -1/4, 0
Determine y so that 1/7*y**4 + 69*y**2 - 45/7*y**3 + 0 + 529/7*y = 0.
-1, 0, 23
Suppose 41/9*d**3 + 19/9*d - 5*d**2 - 13/9*d**4 - 2/9 = 0. What is d?
2/13, 1
Factor 4*z + 0 - 14/3*z**2 + 2/3*z**3.
2*z*(z - 6)*(z - 1)/3
Let s be ((-45)/6)/(495/(-1296)*4). Suppose -s*y - 18/11*y**2 + 6/11*y**3 + 2/11*y**4 + 0 = 0. What is y?
-3, 0, 3
Let m = -499/29072 + -3/368. Let a = 326/395 + m. Solve 1/5*r**4 + r**3 + a*r + 0 + 8/5*r**2 = 0 for r.
-2, -1, 0
Suppose 4*g - 16 = 5*u, 4 = g - 3*u + u. Factor -98*v - 4 + 98*v + g*v**2.
4*(v - 1)*(v + 1)
Let w = -39 + 41. Factor 8 + w*c**4 + 8 - 15 - c**4 - 2*c**2.
(c - 1)**2*(c + 1)**2
Solve 279/7*r**2 + 204/7 - 60*r + 3/7*r**4 - 66/7*r**3 = 0.
1, 2, 17
Let q = 142 + -138. Let l(g) be the third derivative of -1/70*g**7 - 1/8*g**4 - q*g**2 + 0 + 1/40*g**6 + 3/20*g**5 + 0*g - g**3. Factor l(a).
-3*(a - 2)*(a - 1)*(a + 1)**2
Find v such that -4/3*v + 0 + v**3 - 7/6*v**4 - 1/2*v**5 + 2*v**2 = 0.
-2, 0, 2/3, 1
Let c(j) be the second derivative of -2*j**6/15 + j**5/5 + 4*j**4/3 - 8*j**3/3 + j + 13. What is v in c(v) = 0?
-2, 0, 1, 2
Let c = -67 + 71. Determine w so that 3*w**c + 2*w**4 - 2*w**2 - 3*w**4 = 0.
-1, 0, 1
Solve -24/5 - 2/5*s**2 - 26/5*s = 0.
-12, -1
Let u be (1 - 3)/4*-4. Suppose 4*f + 3*m = 3, -11 = -u*f + m - 2. Solve 0*j - 6*j**3 + j**3 + 3*j + 2*j**f = 0.
-1, 0, 1
Let u = -1816 + 1816. Suppose 