*s**2. Factor j(i).
-3*(i - 5)**2
Let l(y) be the third derivative of 0 - 115/48*y**4 - 1/6*y**5 + 2*y**2 + 0*y + 5/2*y**3. Factor l(x).
-5*(x + 6)*(4*x - 1)/2
Suppose -3*p + 2*p = 2*g + 7, 4*g = -20. Suppose 0 = 2*y + h - 1, -4*y + 2*h + p*h = -23. Find q such that -q - 3/2*q**y + 0 - 1/2*q**3 = 0.
-2, -1, 0
Let q(u) = 3*u + 46. Let c be q(-11). Factor -45 - 55*x**4 - 5*x**5 + c*x**3 - 165*x + 10*x**4 - 7*x**3 - 156*x**3 - 230*x**2.
-5*(x + 1)**3*(x + 3)**2
Let o(f) be the first derivative of 6*f - 5*f**3 + 3/2*f**4 - 36 + 3/2*f**2. What is m in o(m) = 0?
-1/2, 1, 2
Let u be (2/(-3))/(4/(-18)). Let y = 8 - u. Factor a**3 + 3 + 2*a + 0*a + 5*a + y*a**2 + 0.
(a + 1)**2*(a + 3)
Suppose -9*i = -4*y - 11*i + 12, 9 = 3*y + 2*i. Factor 1/3*v**y - v**2 + v - 1/3.
(v - 1)**3/3
Suppose -u + 1 - 7 = v, 2*u - 5*v = 23. Let d be (u - -7)/((-3)/(-6)). Determine r, given that d*r - 7*r**3 - 2*r + 8*r**2 + 9*r**3 + 4 = 0.
-2, -1
Factor 405/4 + 275/4*s**2 - 15/4*s**3 - 1305/4*s.
-5*(s - 9)**2*(3*s - 1)/4
Let g(k) be the second derivative of 15*k + 0*k**4 + 0*k**3 + 0 + 0*k**2 - 1/10*k**6 + 3/14*k**7 + 0*k**5. Factor g(j).
3*j**4*(3*j - 1)
Suppose 82 = 4*m - z, -160 + 54 = -5*m + 3*z. Determine a so that -3*a - 3*a + m - 20 - 2*a**2 = 0.
-3, 0
Let w(q) be the second derivative of 0 + 17/5*q**5 + 4*q**3 + 0*q**2 + 14/15*q**6 + 17/3*q**4 + 36*q + 2/21*q**7. Factor w(u).
4*u*(u + 1)**2*(u + 2)*(u + 3)
Factor -246*g**2 - 108*g**3 + 46*g**3 + 62*g + 54*g**3.
-2*g*(g + 31)*(4*g - 1)
Determine a so that 1600/3 + 1/3*a**2 - 80/3*a = 0.
40
Suppose 0 = -2*a + 2 + 4. Let -35*q**2 + 15*q**4 + a*q**4 + q**5 - 5*q**3 + 20 - 3*q**4 + 4*q**5 = 0. What is q?
-2, -1, 1
Let j = -3049/15 + 1018/5. Suppose -2*r - r = -6. Let 2/3 + j*k**r - k = 0. Calculate k.
1, 2
Let g(d) be the second derivative of -d**6/216 - d**5/180 - 8*d**3/3 - 13*d. Let m(b) be the second derivative of g(b). Factor m(s).
-s*(5*s + 2)/3
Let h(j) be the third derivative of j**8/84 - 4*j**7/105 - j**6/30 + 2*j**5/15 + 55*j**2 - 1. What is g in h(g) = 0?
-1, 0, 1, 2
Let a be ((224/6)/(-2) - -3)/(-3). Let q = a - 293/63. Factor 1/7*j**2 + q - 4/7*j.
(j - 2)**2/7
Let b(g) = g**2 - 4*g + 3. Let a(r) = 14 - 18 - r**2 + 9*r - 4*r. Let v(n) = -2*a(n) - 3*b(n). Determine l so that v(l) = 0.
1
Factor 52/7*d**4 + 6912/7 - 2/7*d**5 - 6912/7*d - 536/7*d**3 + 2736/7*d**2.
-2*(d - 6)**3*(d - 4)**2/7
Factor 2 - 4/3*v**2 + 1/3*v**3 + 1/3*v.
(v - 3)*(v - 2)*(v + 1)/3
Suppose 0 = 3*v + o - 10, 4*v - 331 + 311 = -3*o. Factor -2/5*t**v - 2 + 12/5*t.
-2*(t - 5)*(t - 1)/5
Let u(a) be the third derivative of 0*a + 3/2*a**3 - 12*a**2 - 1/12*a**5 + 0 - 1/8*a**4 - 1/120*a**6. Factor u(s).
-(s - 1)*(s + 3)**2
Let -18*v**5 + 20/3*v**2 + 36*v**4 + 0 - 24*v**3 - 2/3*v = 0. What is v?
0, 1/3, 1
Suppose 0 = 3*g + h - 4, 0*h + h = g - 4. Solve -10*b**2 + 13*b**g - 4*b**4 + b**4 = 0.
-1, 0, 1
Suppose 0 = -2*n - 5*d - 28, -2*n - 14 = d + 14. Let p be (-8)/n - (-80)/(-336). Factor -1/6*x**4 - 1/2*x**3 + 0*x + 0 - p*x**2.
-x**2*(x + 1)*(x + 2)/6
Let d be (6/(-3))/((-11 + 10)/(0 - -1)). Factor 144/5 + 1/5*m**d + 24/5*m.
(m + 12)**2/5
Factor -2/9*k**2 + 26/9 - 8/3*k.
-2*(k - 1)*(k + 13)/9
Let y(v) be the third derivative of 31*v**2 + 0*v - 1/10*v**5 - 1/15*v**6 + 4/3*v**3 - 1/105*v**7 + 1/3*v**4 + 0. What is r in y(r) = 0?
-2, -1, 1
Let u be (-2)/3 - (-22)/33. Let k(t) be the third derivative of 3/56*t**4 + 0*t + u*t**5 - 1/7*t**3 + 4*t**2 - 1/280*t**6 + 0. Find x, given that k(x) = 0.
-2, 1
Let t(s) = 2*s**2 - 9*s + 13. Let o(m) = m**2 - 26*m + 50. Let w be o(24). Let x be t(w). Solve 0 - 2/5*d**2 - 2/5*d**4 + 0*d + 4/5*d**x = 0 for d.
0, 1
Let y be ((-4)/21)/(266/(-2793)). Factor -4*b - 2*b**y + 5/2*b**4 + 0 + 1/2*b**5 + 3*b**3.
b*(b - 1)*(b + 2)**3/2
Let i(t) be the third derivative of 121*t**5/20 - 77*t**4/2 + 98*t**3 + 233*t**2 - 2*t. Factor i(x).
3*(11*x - 14)**2
Suppose -2*k = 5*f + 122, 2*f + 46 = 2*k - 0*k. Let w be (f/(-10))/(4/10). Find a such that -a**2 + 8*a - w*a + 3 - 4 = 0.
1
Factor -111*h**3 + 2*h + 56 - 4*h**5 + 8*h**2 + 114*h - 64*h**4 - h**3.
-4*(h - 1)*(h + 1)**3*(h + 14)
Suppose 3*h**4 - 42*h**3 + 94*h - 45*h**2 - 94*h = 0. What is h?
-1, 0, 15
Let f(n) be the second derivative of -4/21*n**3 + 0 + 4/7*n**2 + 1/70*n**5 - 10*n - 1/42*n**4. Find a such that f(a) = 0.
-2, 1, 2
Determine x, given that -x - 193*x**2 + 195*x**2 + 2 - 3*x = 0.
1
Let v(b) = b + 11. Let i be v(-12). Let k be i + 0 - 2/(-1 + -1). Solve 0*s**2 + k*s**3 + 2/3*s**5 + 0*s + 2/3*s**4 + 0 = 0.
-1, 0
Let w(b) = -2*b. Let j(s) = 13*s - 22. Let p(o) = -2*j(o) - 6*w(o). Let r be p(3). Factor 6*h - 9/2 - 3/2*h**r.
-3*(h - 3)*(h - 1)/2
Let b(g) = 54*g + 2864. Let i be b(-53). Determine k so that 6/11*k**3 + 16/11 - 20/11*k**i + 8/11*k = 0.
-2/3, 2
Let l(g) be the third derivative of 1/180*g**6 + 1/18*g**5 + 0*g + 0 + 1/3*g**3 + 7/36*g**4 + 13*g**2. Factor l(z).
2*(z + 1)**2*(z + 3)/3
Factor 1/5*m**2 - m + 4/5.
(m - 4)*(m - 1)/5
Let n be 2*((-38)/(-11) + 10 + (10 - 23)). Solve -8/11*w**3 - n*w**2 + 4/11*w + 0 + 6/11*w**4 = 0.
-1, 0, 1/3, 2
Suppose 1304 - 1284 = 5*w. Let o(a) be the third derivative of 1/350*a**7 - 1/8*a**w + 0*a + 1/200*a**6 - 5*a**2 - 3/100*a**5 + 0 - 1/5*a**3. Factor o(h).
3*(h - 2)*(h + 1)**3/5
Let h(p) = -5 + 0 + 4 + p**2 + 0 - p. Let z(k) = 4*k**2 - 38*k + 160. Let u(x) = 2*h(x) - z(x). Factor u(b).
-2*(b - 9)**2
Let z(i) = 4*i**2 + 10*i - 8. Let x(d) = -7*d**2 - 19*d + 17. Let s(g) = 3*x(g) + 5*z(g). Let p be s(-8). Factor -5*q**2 - 5*q + 6*q - q**p + 1 + 4*q**2.
-(q - 1)*(q + 1)**2
Determine u so that -79/8*u + 3/8*u**2 + 13/4 = 0.
1/3, 26
Let g(c) be the third derivative of 1/3*c**3 + 11/72*c**4 + 0 + 3*c - 1/15*c**5 - 1/72*c**6 + c**2. Factor g(z).
-(z - 1)*(z + 3)*(5*z + 2)/3
Determine v so that 5*v**2 + 674 + 145 - 240*v + 534 + 1527 = 0.
24
Let v be (9/(-6))/(3/(-4)). Let d be (-2)/(-4) + 3/v. Let -10 + 5*k**4 - 2*k + 9*k**d + 10 - 12*k**3 = 0. What is k?
0, 2/5, 1
Let y(k) be the third derivative of 0 - 1/130*k**5 - 9*k**2 - 1/1365*k**7 + 0*k - 1/156*k**4 - 1/260*k**6 + 0*k**3. Let y(a) = 0. What is a?
-1, 0
Let b(h) be the third derivative of -h**6/210 + h**5/210 + h**4/42 - h**3/21 - 3*h**2. Find x such that b(x) = 0.
-1, 1/2, 1
Let h = 247/473 - -1/43. Suppose -4/11*d - 2/11*d**4 + 0 + 0*d**3 + h*d**2 = 0. What is d?
-2, 0, 1
Let 80*q + 113*q**2 + 15*q**3 - 118*q**2 + 55*q**2 - 10*q**3 = 0. What is q?
-8, -2, 0
Let y be (98/35)/((-14)/(-4)). Find b, given that 23/5*b**3 + y*b + 0 - 14/5*b**4 - 16/5*b**2 + 3/5*b**5 = 0.
0, 2/3, 1, 2
Let b be ((-15)/25)/(24/(-80)). Factor 3 - 2*q + 1/3*q**b.
(q - 3)**2/3
Let l(h) be the first derivative of -2*h**5/15 - 19*h**4/6 - 22*h**3 - 27*h**2 - 455. Factor l(p).
-2*p*(p + 1)*(p + 9)**2/3
Let a = 497/54 - 55/6. Let l(u) be the third derivative of 0 - 1/270*u**5 + 1/54*u**4 - a*u**3 - 2*u**2 + 0*u. Factor l(k).
-2*(k - 1)**2/9
Suppose -3*m + 3 = d, 2*m - 2*d - 20 + 26 = 0. Let f(c) be the second derivative of 0*c**2 - 1/3*c**3 + m - 1/24*c**4 - 3*c. Factor f(a).
-a*(a + 4)/2
Let i(m) be the first derivative of 4*m**5/5 + 14*m**4 + 244*m**3/3 + 168*m**2 + 144*m - 14. Let i(k) = 0. Calculate k.
-6, -1
Suppose 4*j = 0, -10*z = -14*z + j + 20. What is b in 4/9*b**2 + 2/9 - 2/3*b**4 + 2/3*b - 4/9*b**3 - 2/9*b**z = 0?
-1, 1
Let f(r) be the second derivative of 5*r**4/12 + 125*r**3/2 + 185*r**2 + 22*r + 3. Factor f(v).
5*(v + 1)*(v + 74)
Let n(f) = f + 1. Let c(l) = 36*l**2 - 68*l + 28. Let r(x) = c(x) - 12*n(x). Factor r(m).
4*(m - 2)*(9*m - 2)
Let q = 7141/20 + -357. Let j(s) be the third derivative of 0*s + s**3 - 3/8*s**4 + 0 + 2*s**2 + q*s**5. Factor j(z).
3*(z - 2)*(z - 1)
Suppose -9 = 5*a - 3*m - 0, 4*a - m + 3 = 0. Solve -1/3*t + 0*t**2 + 1/3*t**3 + a = 0 for t.
-1, 0, 1
Suppose -4718*y = -4733*y. Factor -4/15*l**2 + 2/15*l**3 + y*l + 2/15*l**4 + 0.
2*l**2*(l - 1)*(l + 2)/15
Let v(a) be the first derivative of 2*a**3/9 - 40*a**2/3 - 82*a/3 - 268. Factor v(c).
2*(c - 41)*(c + 1)/3
Suppose 0 = -o - 2 + 4, -3*h + 14 = 4*o. Let n be 4/(-6)*(-9)/h. Factor 4*w**5 + 4*w**4 - 4*w**2 + 3*w**n - 8*w**5 - 4*w**3 + 5*w**3.
-4*w**2*(w - 1)**2*(w + 1)
Let n(h) be the third derivative of 0 - 1/21*h**7 - 1/24*h**6 + 2/3*h**5 + 0*h**3 + 15*h**2 + 5/6*h**4 + 0*h. Factor n(z).
-5*z*(z - 2)*(z + 2)*(2*z + 1)
Let 