*3. Factor j(k).
3*k*(k - 1)*(k + 1)/5
Let z be (((-2)/(70/(-15)))/(-3))/(6/(-84)). Let 5/4*w - 5/4*w**z + 0 = 0. What is w?
0, 1
Let a(h) = 4*h**3 - 10*h**2 - 2*h - 6. Let x(p) = 7 - 15*p**3 + p**2 + 14*p**3 - 6. Let m(r) = -a(r) - 6*x(r). Let m(k) = 0. What is k?
-1, 0
Factor 0*p + 0 - 18/11*p**3 - 60/11*p**4 - 50/11*p**5 + 0*p**2.
-2*p**3*(5*p + 3)**2/11
Let h(r) be the first derivative of 2*r**3/27 + 13*r**2/9 - 28*r/9 - 128. Factor h(q).
2*(q - 1)*(q + 14)/9
Factor -4*a**3 - 97*a + 32*a - 32*a**2 + 35*a - 18*a.
-4*a*(a + 2)*(a + 6)
Let b = -155/4 + 79/2. Suppose -1/2 - 1/4*j**4 + 1/4*j - 1/4*j**3 + b*j**2 = 0. Calculate j.
-2, -1, 1
Find f, given that -1/2 + 4/3*f + 1/6*f**4 - f**2 + 0*f**3 = 0.
-3, 1
Let g = 28/23 + 13/46. Factor 1/2*u**2 + 0 - g*u.
u*(u - 3)/2
Let z = 1655/4911 + -6/1637. Determine p, given that 0 - z*p + 1/6*p**2 = 0.
0, 2
Let p = 4940/147 + -1614/49. Determine a, given that -p*a**2 + 2/3 + 0*a = 0.
-1, 1
Let j(c) be the second derivative of -c**7/3 + 23*c**6/15 - 2*c**5 + 2*c**4/3 + 63*c. Let j(m) = 0. Calculate m.
0, 2/7, 1, 2
Let f(v) be the first derivative of -5*v**6/6 + 2*v**5 + 15*v**4/2 - 40*v**3/3 - 25*v**2/2 + 30*v + 203. Find u, given that f(u) = 0.
-2, -1, 1, 3
Let k be ((-15)/(-357)*-2)/(18/(-126)). Factor -k*l - 8/17*l**2 - 2/17*l**3 - 4/17.
-2*(l + 1)**2*(l + 2)/17
Let n(d) be the third derivative of d**6/600 + d**5/300 - d**4/120 - d**3/30 + 38*d**2. Solve n(o) = 0 for o.
-1, 1
Factor -466*n**2 - 2*n**4 + 70*n**3 - 110*n**2 - 558*n - 90*n.
-2*n*(n - 18)**2*(n + 1)
Let o(v) be the first derivative of -v**6/14 - 24*v**5/35 + 9*v**4/2 - 68*v**3/7 + 141*v**2/14 - 36*v/7 + 140. Let o(m) = 0. What is m?
-12, 1
Let z(g) be the first derivative of g**4/8 - 11*g**3/12 - 5*g**2/2 - 7*g/4 - 448. Suppose z(a) = 0. Calculate a.
-1, -1/2, 7
Let h(j) be the third derivative of j**8/6720 - j**7/1680 - j**6/120 + 4*j**5/15 + 10*j**2. Let a(n) be the third derivative of h(n). Find l such that a(l) = 0.
-1, 2
Let i(x) be the third derivative of -x**7/280 - x**6/40 - x**5/20 + 5*x**3/6 - 11*x**2. Let c(k) be the first derivative of i(k). Factor c(v).
-3*v*(v + 1)*(v + 2)
Let n be -4*(2/(-5) - 3/5). Let w(p) = p**2 + 2*p + 3. Let r(k) = 3*k**2 + 4*k + 6. Let x(z) = n*r(z) - 10*w(z). Find d, given that x(d) = 0.
-1, 3
Determine m so that -2/3*m**3 + 44/3 + 2/3*m - 44/3*m**2 = 0.
-22, -1, 1
Let d be (370/111)/((-4)/(-6)). Suppose 2*w - 3*f = -3, 0 = w - 5*f - 0*f + d. Determine b so that 10/7*b**2 - 2/7*b - 8/7*b**3 + w = 0.
0, 1/4, 1
Let v(i) be the third derivative of 1/40*i**5 + 1/8*i**3 + 0 + 0*i - 9/64*i**4 + 8*i**2. Factor v(r).
3*(r - 2)*(4*r - 1)/8
Let u(v) be the first derivative of -v**3/18 + 5*v**2/12 - 2*v/3 + 132. Factor u(s).
-(s - 4)*(s - 1)/6
Let n(l) = l**3 - 5*l**2 - 4*l + 9. Let x be n(6). What is w in 5*w**4 + 12*w**2 + 2*w - 8*w**3 - 3*w**4 + x - 19 - 10*w = 0?
1
Suppose -8*p - 17*p + 50 = 0. Factor 2 + 2*l + 1/2*l**p.
(l + 2)**2/2
Let a(t) = t + 8. Let u be a(-8). Suppose -3*j + 6 = -u. Let 12*n**2 - n**j + n**2 + 11 - 8 + 15*n = 0. What is n?
-1, -1/4
Factor -3/7*u**5 + 0 - 12/7*u**4 + 0*u - 15/7*u**3 - 6/7*u**2.
-3*u**2*(u + 1)**2*(u + 2)/7
Let z(c) be the third derivative of c**4/24 - c**3/6 - 10*c**2. Let n(p) = 5*p**3 - 9*p + 4. Let j(a) = n(a) + 4*z(a). Suppose j(v) = 0. Calculate v.
-1, 0, 1
Let b = -2021 + 97009/48. Let v(d) be the third derivative of 2*d**2 - 1/120*d**7 + 7/240*d**5 + 1/240*d**6 - b*d**4 + 0*d**3 + 0 + 0*d. Factor v(n).
-n*(n - 1)*(n + 1)*(7*n - 2)/4
Suppose 2*w = 1 - 9. Let z be 2 - (-10)/w - (-312)/336. Factor 6/7*t**2 - 3/7*t**3 + z*t - 6/7.
-3*(t - 2)*(t - 1)*(t + 1)/7
Let i = -742 - -747. Let y(q) be the first derivative of 0*q**2 + 0*q**3 + 3/4*q**4 + 0*q + i. Let y(z) = 0. What is z?
0
Let w(q) be the first derivative of -q**7/210 - q**6/40 + q**5/30 + q**4/2 + 4*q**3/3 - 7*q**2/2 - 47. Let j(l) be the second derivative of w(l). Factor j(i).
-(i - 2)*(i + 1)*(i + 2)**2
Let t(x) be the first derivative of -1/60*x**4 + 0*x + 0*x**3 - 1/300*x**6 - 1/75*x**5 + 2 - 1/2*x**2. Let b(q) be the second derivative of t(q). Factor b(c).
-2*c*(c + 1)**2/5
Let a be (-77335)/210 + 1/(-6). Let d = 369 + a. Solve d*h**3 + 0 - 4/7*h**2 + 0*h = 0 for h.
0, 1
Solve 3872/13 + 176/13*t + 2/13*t**2 = 0 for t.
-44
Let u be (-13)/(-78) - (-22)/30. Let g(z) be the second derivative of -6*z - 1/150*z**6 + 1/25*z**5 - 2/5*z**3 + 0 - u*z**2 + 1/30*z**4. Factor g(i).
-(i - 3)**2*(i + 1)**2/5
Let w(o) be the first derivative of -2*o**3/3 + 7*o**2 - 12*o + 111. Factor w(s).
-2*(s - 6)*(s - 1)
Suppose 172*l = 46*l. Let j = 311/247 - 21/19. Let l - j*n**2 + 0*n = 0. What is n?
0
Let k(t) be the first derivative of -3*t**5/5 + 4*t**3 - 259. Factor k(z).
-3*z**2*(z - 2)*(z + 2)
Suppose t - 10 = -8. Let j(x) = x**2 - x + 11. Let z(g) = 2. Let d(l) = t*j(l) - 11*z(l). Factor d(f).
2*f*(f - 1)
Let f(l) be the second derivative of -l**4/20 + 7*l**3/5 - 36*l**2/5 - 13*l - 10. Factor f(x).
-3*(x - 12)*(x - 2)/5
Factor 19/3*y - 7*y**2 - 1/3*y**4 - 2 + 3*y**3.
-(y - 6)*(y - 1)**3/3
Suppose -13/6*s - 5/3 - 1/6*s**4 + 1/2*s**2 + 5/6*s**3 = 0. What is s?
-1, 2, 5
Let g be (8/(-26))/2 + (-7156)/(-45838). Let l = 68729/12341 + g. Solve 12/7 + 18/7*k**3 + 36/7*k + l*k**2 + 3/7*k**4 = 0.
-2, -1
Let v = -526 - -2631/5. Let u(h) be the first derivative of 1/10*h**2 + v*h - 2/3*h**3 + 8 + 2/5*h**4. Suppose u(j) = 0. What is j?
-1/4, 1/2, 1
Let v be 1 + 1/(-4)*-4. Factor -2*q**3 - v*q**3 + 4*q - 4*q**3 + 4*q**5.
4*q*(q - 1)**2*(q + 1)**2
Let l(n) be the second derivative of 1/48*n**4 - 1/80*n**5 + 0*n**2 + 1/24*n**3 + 14*n + 0 - 1/120*n**6. Factor l(d).
-d*(d - 1)*(d + 1)**2/4
Factor -139*x**3 - 4*x**2 - 37*x**4 + 19*x**4 + 127*x**3 + 12*x + 22*x**4.
4*x*(x - 3)*(x - 1)*(x + 1)
Let l(i) = i**2 - 26*i - 6. Let c be l(18). Let h be 2/(-4) + (-345)/c. Solve 6/5 + 3/5*x**2 - h*x = 0 for x.
1, 2
Factor 28/11*a**2 - 20/11*a - 7/11*a**3 + 0 - 1/11*a**4.
-a*(a - 2)*(a - 1)*(a + 10)/11
Let i = -6050/3 + 2018. Factor 2/3*z**2 + 2/3 + i*z.
2*(z + 1)**2/3
Let k = -265 + 2387/9. Let k - 2/9*h**2 + 0*h = 0. What is h?
-1, 1
Let d(l) be the third derivative of l**7/84 - 3*l**6/16 + 5*l**5/4 - 55*l**4/12 + 10*l**3 - 18*l**2. Determine i so that d(i) = 0.
2, 3
Suppose -3*g = -5*c + 29, 2*c + 3*c = -3*g + 41. Let q be (-2)/c*(-2 - -9) + 4. Suppose 2/3*a**4 + 0*a**3 - 1/3*a**5 + 0 - 2/3*a**q + 1/3*a = 0. Calculate a.
-1, 0, 1
Suppose 2*a + z - 8 = 0, -4*a - 2*z = -5*z - 6. Suppose 1/2*w**4 - 1/2 - w**a + w + 0*w**2 = 0. Calculate w.
-1, 1
Suppose -z - s - 2*s - 5 = 0, 3*z = s + 25. Factor z*i - 6*i - 14*i**2 + 3*i.
-2*i*(7*i - 2)
Let a be (-32)/176 + 4 + (-1205)/330. Factor -a*w**3 - 1/2*w**2 - 1/6 - 1/2*w.
-(w + 1)**3/6
Determine x so that 0 + 4*x**3 + 0*x**2 + 1/3*x**5 - 13/3*x**4 + 0*x = 0.
0, 1, 12
Let n(l) be the second derivative of -9*l**6/40 - 3*l**5/20 - l**4/24 + 4*l**3/3 - 17*l. Let q(i) be the second derivative of n(i). Let q(j) = 0. What is j?
-1/9
Suppose -2*r + 2*h + 32 = -5*r, 2*h + 56 = -5*r. Let t be -1*3*r/18. Determine z so that -3*z**4 - 3*z**3 + 2*z**t - 2 + 3*z + z**2 + 2 = 0.
-1, 0, 1
Let h(m) be the second derivative of 0*m**3 + 0 + 0*m**2 + 1/20*m**4 - 9*m + 3/100*m**5. Factor h(a).
3*a**2*(a + 1)/5
Suppose 12 - 2 = 3*l - 2*f, 5*l - 3*f - 15 = 0. Let g = 4153 + -4151. Factor 2/3*b - b**g + 1/3*b**3 + l.
b*(b - 2)*(b - 1)/3
Suppose -3*o + 4*t + 259 = 815, -o - 176 = t. Let q be 1/(o/4) - 2/(-9). Find d such that -4/5*d**2 + 1/5*d - q*d**3 + 0 + 4/5*d**4 = 0.
-1, 0, 1/4, 1
Suppose -80 = 4*a - 628. Let g = a - 41. Factor -g + 3*r**2 + 96 + 9*r**4 - 3*r**5 - 9*r**3.
-3*r**2*(r - 1)**3
Let m be (5/3)/((-285)/(-342)). Let o(n) = -7*n + 14. Let y be o(m). Determine s, given that 1/6*s**4 + y*s**2 + 0 + 1/6*s**3 + 0*s = 0.
-1, 0
Let p(r) = 7*r**2 + 11*r + 28. Let z(q) = 3*q**2 - 1. Let a(x) = 2*p(x) - 4*z(x). Determine j, given that a(j) = 0.
-6, -5
Let z(p) be the third derivative of p**7/735 + p**6/60 + 8*p**5/105 + p**4/7 + 87*p**2 - 2. Let z(g) = 0. Calculate g.
-3, -2, 0
Let o = -1228 + 1228. Find w such that o - 1/9*w**2 - 1/9*w = 0.
-1, 0
Let d(o) = -o**2 - 5*o. Let l be d(-4). Suppose 195 = l*a - 113. Solve -12*u + 49*u**4 - 25*u**2 - 8 - 40*u + a*u**3 - 41*u**2 = 0 for u.
-2, -2/7, 1
Let h = 1348 + -1344. Let z(i