3*j - 17. Factor a(c).
(c + 1)**3*(c + 46)**2/4
Let j(u) be the second derivative of 2*u**6/15 + u**5/5 - 20*u**4/3 - 34*u + 1. What is x in j(x) = 0?
-5, 0, 4
Factor -24 - 29*c + 83 - 2*c**4 - 7*c - 43 + 22*c**2.
-2*(c - 2)*(c - 1)**2*(c + 4)
Let d = 23/70 + 1/10. Let z(k) = k + 12. Let h be z(-9). Find i such that -9/7*i**2 + 12/7 + d*i**h + 0*i = 0.
-1, 2
Let z(w) be the first derivative of -w**4/10 + 6*w**3/5 + 49*w**2/5 + 78*w/5 - 84. Factor z(l).
-2*(l - 13)*(l + 1)*(l + 3)/5
Let s be 2 - 3689/490 - 6/(-10). Let f = 45/7 + s. Suppose -9/4*u**3 + 0*u**4 - f*u**2 + 0*u + 3/4*u**5 + 0 = 0. What is u?
-1, 0, 2
Let w = -6 + 11. Let a = w + -3. Factor b**2 + a*b**3 - b**5 + 0*b**3 - b**4 - 2*b**3 + b**3.
-b**2*(b - 1)*(b + 1)**2
Let v be (-3 + 8)*((-396)/55)/(-12). What is p in 4/5*p**2 + 8/15*p - 2/3*p**v + 2/15*p**4 - 16/15 = 0?
-1, 2
Let s(g) be the third derivative of -g**6/60 + 2*g**5/5 - 15*g**4/4 + 18*g**3 + 4*g**2 - 16. Let s(l) = 0. Calculate l.
3, 6
Let s(v) be the first derivative of 3/16*v**4 + 1/20*v**5 + 1/8*v**2 + 1/4*v**3 - 13 + 0*v. Let s(m) = 0. Calculate m.
-1, 0
Let k(r) be the first derivative of 3*r**4/4 + 13*r**3 + 286. Factor k(t).
3*t**2*(t + 13)
Let z(p) = -2*p**2 - 13*p - 4. Let y be z(-6). Solve 2*v**y - 9*v**3 + 3*v - 33*v**4 + 8*v**2 - 18*v**5 - v**2 = 0.
-1, -1/3, 0, 1/2
Suppose -l + 2*l = -2*u + 62, 74 = l + 5*u. Let a be (10/(-6))/((-15)/l). Factor -19*f**3 + 15*f + 6*f**2 + 4*f**3 - 6*f**3 + 6*f - a.
-3*(f - 1)*(f + 1)*(7*f - 2)
Factor -187*a - 40 - 185*a + 733*a - 4*a**2 - 204*a - 201*a.
-4*(a + 1)*(a + 10)
Let u(l) be the third derivative of -1/2*l**4 - 21*l**2 + 1/30*l**6 + 0*l**5 + 0*l - 4/3*l**3 + 0. Determine t so that u(t) = 0.
-1, 2
Let m = 565 - 1694/3. Let x(t) be the first derivative of 0*t**5 - 1/3*t**2 + 9 + 0*t**3 + 0*t + m*t**4 - 1/9*t**6. Factor x(i).
-2*i*(i - 1)**2*(i + 1)**2/3
Let 0 - 2/7*y**4 - 12/7*y**3 + 0*y - 10/7*y**2 = 0. What is y?
-5, -1, 0
Suppose -2*z + k = -7, 0 = 2*k - 2. Factor 0 - 4*p**z - 4*p**3 + 4*p**2 - 2 + 2 + 4*p.
-4*p*(p - 1)*(p + 1)**2
Let u(d) = d**2 + 7*d + 9. Let g be u(-6). Let n be g + -12*(-2)/(-9). Solve -n - p**2 + 4/3*p = 0.
1/3, 1
Let c = 470381/1962 + -211/218. Let o = 239 - c. Let 8/9*q**3 - o*q**4 - 4/3*q**2 - 2/9 + 8/9*q = 0. Calculate q.
1
Let h(f) be the second derivative of -f**6/300 + f**4/20 + 2*f**3/15 + 2*f**2 - 17*f. Let d(k) be the first derivative of h(k). Factor d(a).
-2*(a - 2)*(a + 1)**2/5
Let v(f) = -41*f**2 + 212*f - 43. Let a(z) = -42*z**2 + 216*z - 42. Let s(w) = 2*a(w) - 3*v(w). Suppose s(d) = 0. Calculate d.
3/13, 5
Suppose 2 + 4 = 2*f. Factor 12*j**3 - 5*j**2 - 15*j**4 + 5*j**5 - 7*j**3 + 10*j**f.
5*j**2*(j - 1)**3
Let z = 525/349 + -3/698. Suppose 0 + 1/2*b + z*b**2 + 3/2*b**3 + 1/2*b**4 = 0. Calculate b.
-1, 0
Let b = -33 + 27. Let m be (-22)/b - 3/(-9). Suppose -8/7*w**2 + 2/7 - 4/7*w**3 + 6/7*w**m + 4/7*w = 0. Calculate w.
-1, -1/3, 1
Let k(o) be the second derivative of -3*o**5/20 + 3*o**4/4 - o**3 + 8*o + 3. Factor k(d).
-3*d*(d - 2)*(d - 1)
Factor 140*i**2 + i**3 - i + 3*i - 137*i**2.
i*(i + 1)*(i + 2)
Let b(o) = 5*o**3 - 49*o**2 - 9*o - 1. Let c(z) = -z**3 + 12*z**2 + 2*z. Let u(d) = -2*b(d) - 9*c(d). Let w be u(-10). Factor -1/2 + 0*x + 1/2*x**w.
(x - 1)*(x + 1)/2
Let n = 267/142 + 4947/994. Determine i so that -n*i + 32/7 + 24/7*i**2 - 4/7*i**3 = 0.
2
Let x(l) = -l**3 - 11*l**2 + 24*l - 24. Let j be x(-13). Suppose -97*c**2 + c + 52*c**2 + 44*c**j = 0. Calculate c.
0, 1
Let z(f) = -f**3 - f**2. Let o(s) be the third derivative of s**6/60 + s**5/15 + s**4/12 - s**2. Let b(m) = 4*o(m) + 12*z(m). Solve b(l) = 0.
-1, 0, 2
Factor 4 + 15*l + 31*l**3 - 30*l**3 - 1 - 11 - l - 7*l**2.
(l - 4)*(l - 2)*(l - 1)
Let u(v) = v + 15. Let z be u(-11). Suppose -o - 13 = -z*i, 8*o - 15 = 3*o. Factor 0 + 0*s - 1/5*s**2 - 2/5*s**i + 3/5*s**3.
-s**2*(s - 1)*(2*s - 1)/5
Let t(z) = -z**2 - 8*z + 21. Let n be t(-9). Find q such that -12 + n*q - 40*q**2 + 24*q + q**2 - 3*q**4 + 18*q**3 = 0.
1, 2
Let r(i) be the first derivative of 2*i**5/45 - 22*i**3/27 - 2*i**2 - 16*i/9 + 70. Factor r(d).
2*(d - 4)*(d + 1)**2*(d + 2)/9
Let z(r) be the first derivative of -r**5/90 + r**3/9 - 3*r**2/2 + 12. Let u(j) be the second derivative of z(j). Factor u(n).
-2*(n - 1)*(n + 1)/3
Let v(o) be the first derivative of -o**4/20 + 3*o**3/5 - 3*o**2/2 + 7*o/5 + 172. Suppose v(n) = 0. What is n?
1, 7
Let h(v) be the second derivative of -1/10*v**5 - v**2 + 0 + 1/6*v**4 + 1/3*v**3 - 4*v. Factor h(i).
-2*(i - 1)**2*(i + 1)
Let k = 2/469 - -38/67. Factor k*b + 0 + 2/7*b**2.
2*b*(b + 2)/7
Factor -24 - 41*o + 5 - 70*o**2 - 111*o - 6*o**3 - 39 - 14.
-2*(o + 2)*(o + 9)*(3*o + 2)
Factor -5 - 7/2*d - 1/2*d**2.
-(d + 2)*(d + 5)/2
Suppose -11*s + 114 - 92 = 0. Let n(q) be the third derivative of -q**3 + 0*q + 0 - 1/5*q**5 + 9/8*q**4 - 6*q**s. Suppose n(y) = 0. What is y?
1/4, 2
Let -16*r**2 + 14*r**3 - 16*r**4 + 20*r**4 - 4*r**3 + 2*r**3 = 0. Calculate r.
-4, 0, 1
Let g(o) be the second derivative of o**8/33600 + o**7/6300 + o**6/3600 + 5*o**4/6 + 14*o. Let j(s) be the third derivative of g(s). Factor j(v).
v*(v + 1)**2/5
Let p be (-290)/156 + 1 - (-6)/9. Let j = 30/13 - p. Factor -z + j*z**2 + 0 + 1/2*z**4 - 2*z**3.
z*(z - 2)*(z - 1)**2/2
Let d = 38 + -23. Let -2*w**2 + 5*w + d*w**2 - 9*w**3 - 11*w**3 + 2*w**2 = 0. What is w?
-1/4, 0, 1
Let f(z) be the first derivative of 5*z**6/24 - 7*z**5/20 - 13*z**4/16 + 31*z**3/12 - 5*z**2/2 + z + 25. Factor f(s).
(s - 1)**3*(s + 2)*(5*s - 2)/4
Let z(m) = 3*m - 11. Let b be z(5). Suppose -2*a + b*a - 10 = 0. Determine x so that -3*x**4 + 0*x**2 - 2*x**3 - x**2 + 3*x**2 - 2*x**a + x**5 + 3*x + 1 = 0.
-1, 1
Let l(r) = 286*r - 2572. Let x be l(9). Factor -5/7*o + 2/7 - 2/7*o**x + 5/7*o**3.
(o - 1)*(o + 1)*(5*o - 2)/7
Let u(h) = -19*h**3 + 46*h**2 + 12*h - 67. Let d(j) = 13*j**3 - 30*j**2 - 8*j + 45. Let q(p) = -7*d(p) - 5*u(p). Find x, given that q(x) = 0.
-1, 1, 5
Factor 20808/5*x**2 + 4009008/5 + 3/5*x**4 - 408/5*x**3 - 471648/5*x.
3*(x - 34)**4/5
Let j be (114/(-76))/(0 - 6/8). Let m = 1/9 + 13/45. Suppose v**j - m + 3/5*v = 0. What is v?
-1, 2/5
Let f be 1*(-1)/2*-2. Let i be 23/(-69)*(f + (-50)/8). Suppose i*b**2 + 3*b - 1 = 0. Calculate b.
-2, 2/7
Let d(p) = 4*p**3 + 24*p**2 + 54*p + 36. Let m(f) = -f**3 + 2*f. Let a(j) = d(j) + 2*m(j). Let a(g) = 0. Calculate g.
-9, -2, -1
Let p(i) be the second derivative of -i**8/25200 - 11*i**7/18900 - i**6/450 + i**5/100 + 5*i**4/12 + 4*i. Let f(q) be the third derivative of p(q). Factor f(z).
-2*(z + 3)**2*(2*z - 1)/15
Let h = 372 - 364. Let m(k) be the third derivative of -3/112*k**h - 9/70*k**7 + 0 - 11/45*k**5 - 1/4*k**6 + 0*k - 1/9*k**4 + 0*k**3 - 3*k**2. Factor m(y).
-y*(y + 1)*(3*y + 2)**3/3
Factor 38*h**3 - 17*h**2 + 37*h**3 + 26*h**2 - 80*h**3 + 26*h**2.
-5*h**2*(h - 7)
Let h(l) be the second derivative of l**5/25 - l**4/5 + 4*l**3/15 + 16*l - 2. Factor h(b).
4*b*(b - 2)*(b - 1)/5
Let o(h) = 2*h**2 + 3*h - 4. Let m be o(-3). Suppose 0*j + 5*j = -q - 18, -m*j - 26 = -3*q. Let 4*k**2 - q - 13*k**4 - k**3 + 11*k**4 + k**3 = 0. What is k?
-1, 1
Suppose 0*a + 9*a = 135. Suppose -2*l - 9 + a = 0. Solve 0*m**2 - 1/2*m**l + 0*m**4 + 1/4*m**5 + 0 + 1/4*m = 0 for m.
-1, 0, 1
Let p = -88 + 75. Let m be 2/(-16)*(p + 7). Factor 0 + 9/4*v**2 - 3/2*v**3 - m*v.
-3*v*(v - 1)*(2*v - 1)/4
Let u(c) be the first derivative of -c**3 + 81*c**2 - 2187*c + 65. Factor u(f).
-3*(f - 27)**2
Let i(n) = -10*n**3 - 897*n**2 - 20247*n - 19353. Let t(o) = -5*o**3 - 448*o**2 - 10123*o - 9677. Let l(u) = 3*i(u) - 7*t(u). Factor l(q).
5*(q + 1)*(q + 44)**2
Suppose -60/7 + 3/7*p + 3/7*p**2 = 0. Calculate p.
-5, 4
Let s be 11/(-33)*6 + 0 + 2. Factor s + 2/7*o**3 + 0*o + 2/7*o**4 + 0*o**2.
2*o**3*(o + 1)/7
Let i be 41/((-4018)/(-616)) + (-4)/14. Suppose 50/3 - 10*b - i*b**2 - 2/3*b**3 = 0. Calculate b.
-5, 1
Suppose 9*b**3 - 2*b**4 + 13777*b**2 + 19*b**3 - 13747*b**2 = 0. Calculate b.
-1, 0, 15
Let -36 + 0*b**2 + 6*b**2 - 30 - 3*b**2 + 0*b**2 - 27*b = 0. What is b?
-2, 11
Let m(t) be the third derivative of t**6/270 + 71*t**5/270 - 55*t**4/54 + 37*t**3/27 + 226*t**2. Factor m(l).
2*(l - 1)*(l + 37)*(2*l - 1)/9
Let r(s) be the second derivative of -2*s**7/21 + 14*s**6/15 - 2*s**5/5 - 28*s**4/3 + 16*s**3 + 6*s + 7. Determine x, gi