*2 - 2*t - 2. Let f = 48 + -50. Let y(g) = f*b(g) + 3*n(g). Factor y(a).
-2*a**2*(a + 5)
Suppose 13*p - 26 - 13 = 0. Let x(u) be the third derivative of 7*u**2 + 7/270*u**5 + 2/27*u**p + 0*u + 0 - 1/12*u**4. Factor x(n).
2*(n - 1)*(7*n - 2)/9
Factor -1/9*v**2 - 44/9 - 8/3*v.
-(v + 2)*(v + 22)/9
Let s = 14 - 9. Suppose s*h - 3*h - 14 = 0. Factor 3*j**2 + 2*j**2 - h*j**2 + 3*j**2.
j**2
Let w(p) = p**2 + 2*p. Let g be w(-3). Suppose -g*b + 16 + 11 = 0. Factor 145 + 3*v**2 - 148 + 4*v**3 - b*v + 5*v**3.
3*(v - 1)*(v + 1)*(3*v + 1)
Solve -24/5*j**3 + 4/3*j**4 + 116/15*j**2 + 8/5 - 2/15*j**5 - 86/15*j = 0.
1, 3, 4
Let o(l) be the third derivative of -l**7/35 + l**3/2 - 8*l**2. Let y(i) = 5*i**4 - i**3 - 2. Let b(n) = 2*o(n) + 3*y(n). Solve b(t) = 0 for t.
0, 1
Let n = 3115 + -12421/4. Determine p, given that 0*p - n*p**2 + 3/4*p**3 + 0 = 0.
0, 13
Let g be (1 + -2)*(-6)/5. Let k(v) = v**3 - 11*v**2 + 13*v + 47. Let q be k(9). Factor 3/5*w**q - g - 3/5*w.
3*(w - 2)*(w + 1)/5
Let 0*w**2 + 3/2*w**4 + 0 + 0*w + 12*w**3 = 0. What is w?
-8, 0
Factor i**2 - 8*i**2 - 4*i**2 + 7*i**2.
-4*i**2
Let c be 10/(-55) + 0 - (-70)/22. Factor -27*i**5 + 40*i**c + 17*i**5 - 30*i**4 + 15*i**5.
5*i**3*(i - 4)*(i - 2)
Let b be -244*(-11)/264 - 10. Let r(d) be the first derivative of 0*d - b*d**3 + 0*d**4 - 1/6*d**2 + 3 + 1/30*d**5. Let r(g) = 0. Calculate g.
-1, 0, 2
Find i such that 14/3*i + 20/3 - 28/3*i**2 - 2*i**3 = 0.
-5, -2/3, 1
Suppose -3*z + 41 = 2*p + 14, -75 = -5*p - 5*z. Let v be ((-43)/(-9) - 2) + 4/p. What is d in -2/11*d + 0 - 2/11*d**v - 4/11*d**2 = 0?
-1, 0
Suppose 2/5*t**5 + 0 + 24/5*t + 8/5*t**4 - 8/5*t**2 - 26/5*t**3 = 0. What is t?
-6, -1, 0, 1, 2
Let a = -514 + 514. Let p(q) be the second derivative of -1/5*q**5 + a + 7/3*q**4 - 10*q**3 + 18*q**2 + 7*q. Solve p(z) = 0 for z.
1, 3
Let q(s) be the first derivative of -1/3*s**4 + 5*s - 1/3*s**2 + 1 - 2/15*s**5 - 1/45*s**6 - 4/9*s**3. Let u(p) be the first derivative of q(p). Factor u(j).
-2*(j + 1)**4/3
Let y = 9 + -6. Suppose -2*p - y*r + 17 = 0, -r - 17 = -3*p - 8. Find f such that -7*f**2 + 8*f**5 + 25*f**2 - 2*f**4 - 2*f**5 - 8*f - 18*f**3 + p*f = 0.
-2, 0, 1/3, 1
Let r = 81 + -80. Suppose 2*d - 5 = r. Let -1/4*u**d + 0*u + 1 - 3/4*u**2 = 0. What is u?
-2, 1
Determine w so that -52*w + 149*w**2 - 44*w**2 - 112 - 49*w**2 - 54*w**2 = 0.
-2, 28
Let h be (6/15)/(3/150). Let q be (1 - 0)/(30/h). Factor 0 - 1/3*j**3 + q*j**2 - 1/3*j.
-j*(j - 1)**2/3
Let a(r) be the third derivative of 1/24*r**6 + 1/4*r**5 + 0 + 0*r**3 - 11*r**2 + 0*r + 0*r**4. Let a(n) = 0. What is n?
-3, 0
Let g(l) be the first derivative of -5*l**4/4 + 5*l**3/3 + 10*l**2 - 20*l - 292. Determine q, given that g(q) = 0.
-2, 1, 2
Let x be (-29)/(-171) - 206/(-3914). Find n such that -x*n**2 - 8/9*n - 2/3 = 0.
-3, -1
Solve -10/9*j + 4/3 + 2/9*j**2 = 0 for j.
2, 3
Let j(y) be the third derivative of y**5/240 - 23*y**4/96 - y**3 + 119*y**2 - y. Solve j(z) = 0 for z.
-1, 24
Let v = -218479/69179 + 1/3641. Let d = 705/133 + v. What is p in 6/7*p**3 + d*p**4 - 6*p**2 - 9/7*p + 27/7 + 3/7*p**5 = 0?
-3, -1, 1
Let a(f) = f**2 - 11*f + 16. Let c(s) = -s**2 + 11*s - 15. Let x(m) = -3*a(m) - 4*c(m). Let o be x(10). Solve 2/11*y - 2/11*y**o + 2/11 - 2/11*y**3 = 0.
-1, 1
Let y be ((-1)/542)/((-1)/(-4)). Let f = 552/1355 + y. Factor -2/5 + f*d**2 + 0*d.
2*(d - 1)*(d + 1)/5
Let a(q) be the second derivative of -5/4*q**4 - 5/2*q**3 + 7/4*q**5 + 0 + 19*q + 5*q**2 - 1/2*q**6. Factor a(s).
-5*(s - 1)**3*(3*s + 2)
Let a(c) be the first derivative of 2*c**5 - 25*c**4/4 + 5*c**3/3 + 5*c**2 - 41. Determine x, given that a(x) = 0.
-1/2, 0, 1, 2
Let w(z) = z + 10. Let k be w(-10). Factor -4/3*f + k - 2/3*f**3 + 2*f**2.
-2*f*(f - 2)*(f - 1)/3
Let o be 16/84*(44 - -26). What is n in -o*n**2 + 2 + 14/3*n = 0?
-1/4, 3/5
Let c(j) be the third derivative of j**6/660 - 17*j**5/330 - j**4/132 + 17*j**3/33 + 3*j**2 - 8*j. Factor c(d).
2*(d - 17)*(d - 1)*(d + 1)/11
Let n(o) = 3*o**2 + 6*o + 8. Let d be n(-2). Factor 20*a - 2 - d - 9 + 4 - 5*a**2.
-5*(a - 3)*(a - 1)
Let x(a) be the second derivative of -a**5/20 + 5*a**4/12 - a**3/2 - 9*a**2/2 - 5*a + 2. Factor x(v).
-(v - 3)**2*(v + 1)
Let d(s) be the third derivative of -14*s**2 + 0*s**3 + 0*s - 1/3*s**4 + 0 + 3/5*s**5. Suppose d(o) = 0. What is o?
0, 2/9
Suppose 0 + 216/5*r + 186/5*r**3 + 612/5*r**2 + 3*r**4 = 0. What is r?
-6, -2/5, 0
Let j(u) = 2*u - 34. Let o be j(15). Let i = 0 - o. Factor -2*h + 19*h**i - 17*h**4 - 3*h**3 + 6*h**2 - 3*h**3.
2*h*(h - 1)**3
Let f(s) be the first derivative of s**5/10 - s**4/2 - 2*s**3 - 534. Factor f(g).
g**2*(g - 6)*(g + 2)/2
Let x be ((-1436)/80 + 18)*10. Factor -1/6*t**3 + x*t**2 + 0*t + 0.
-t**2*(t - 3)/6
Let f(c) = c**3 - 2*c**2 + 3*c + 5. Let h be f(0). Factor 7*g**2 - 6*g**4 - 26*g**5 + 29*g**h - 3*g - g**2.
3*g*(g - 1)**3*(g + 1)
Let b be ((-240)/56)/((-3)/14). Factor -b*o + 20*o - 15*o**3 - 5*o**4.
-5*o**3*(o + 3)
Suppose 0 = 2*v - 5*v - 2*s + 26, -38 = -5*v - 2*s. Let z = v - 3. Suppose 6*h**3 - z*h**3 + h**3 - 2*h**3 - 2*h**5 = 0. Calculate h.
-1, 0, 1
Let n = 45871/4 - 11449. Determine c, given that 15/4*c**2 + n*c + 1/4*c**3 + 125/4 = 0.
-5
Let g(q) be the second derivative of q**3 + 0*q**2 + 3/5*q**5 + 1/10*q**6 + 11*q + 5/4*q**4 + 0. Find r, given that g(r) = 0.
-2, -1, 0
Let w(v) = 2*v**2 - 51*v - 2915. Let t be w(53). Let t - 8/7*s - 8/7*s**2 - 2/7*s**3 = 0. Calculate s.
-2, 0
Suppose -5*i + u + 15 = 0, 4*i + 15 = 9*i - 4*u. Factor -2*z**i + 8*z - 16/3 + 2/3*z**4 - 4/3*z**2.
2*(z - 2)**2*(z - 1)*(z + 2)/3
Let 2/3*i - 13/9*i**2 + 0 + 7/9*i**3 - 1/9*i**5 + 1/9*i**4 = 0. What is i?
-3, 0, 1, 2
Let w(p) = 65*p**2 - 25*p - 65. Let j(r) = 8*r**2 - 3*r - 8. Suppose -6*i = 14 + 4. Let v(f) = i*w(f) + 25*j(f). Let v(k) = 0. What is k?
-1, 1
Factor 27*l + 33*l**2 - 29*l**2 - 9*l - 24 - 6*l - 8*l.
4*(l - 2)*(l + 3)
Let v(y) be the third derivative of 0 + 0*y**3 + 0*y + 34*y**2 + 1/112*y**8 - 1/120*y**6 - 1/12*y**4 - 7/60*y**5 + 1/30*y**7. Let v(k) = 0. What is k?
-2, -1, -1/3, 0, 1
Suppose -53 = -2*w - 43. Let a(h) be the first derivative of 5 + 1/2*h**3 + 1/5*h**w - 5/8*h**4 - 1/2*h + 1/4*h**2. Let a(n) = 0. What is n?
-1/2, 1
Let a(l) = -5*l - 2 - 9*l**3 + 3 - 7*l**2 - 11*l**3 + 25*l**3. Let o(j) = j**3 - j**2 - j. Let k(t) = -5*a(t) + 30*o(t). Factor k(b).
5*(b - 1)*(b + 1)**2
Let l(i) be the second derivative of 0 + 3/100*i**5 - 1/10*i**3 + 0*i**2 + 31*i + 0*i**4. Let l(h) = 0. Calculate h.
-1, 0, 1
Let l(i) be the second derivative of -i**5/80 + 35*i**4/48 - 323*i**3/24 + 289*i**2/8 + 13*i + 3. Factor l(k).
-(k - 17)**2*(k - 1)/4
Let a(m) = m + 12. Let k be a(-11). Let v be 5 - 3 - 0/k. Solve -2*d + 7*d - d**4 - d**2 - v + 4*d**4 - 3*d**3 - 2*d**3 = 0 for d.
-1, 2/3, 1
Let -88*p**3 + 9 - 9 - 3*p**5 + 5*p**5 + 10*p**4 + 96*p**3 = 0. Calculate p.
-4, -1, 0
Suppose 125*v - 127*v + 5*i = -34, -12 = 2*i. Let 1/6*w**3 + 2/3*w + 0 - 2/3*w**v = 0. What is w?
0, 2
Let b(z) be the second derivative of -1/56*z**7 + 1/6*z**3 - 7/80*z**5 + 1/12*z**4 - 1/12*z**6 + 0*z**2 + 0 - 2*z. Suppose b(l) = 0. Calculate l.
-2, -1, 0, 2/3
Let y(f) be the third derivative of 0*f + 1/20*f**6 + 1/6*f**4 + 0*f**3 - 10*f**2 + 0 + 1/6*f**5. Factor y(j).
2*j*(j + 1)*(3*j + 2)
Suppose 3*b - 119 = -113. Factor -30/7*o - 6*o**b + 12/7.
-6*(o + 1)*(7*o - 2)/7
Let i(u) be the first derivative of -u**2/2 + 10*u + 8. Let f be i(7). Factor f*l + 3 - 7 - 2*l**3 + 3*l.
-2*(l - 1)**2*(l + 2)
Let g be 0/(3*((-64)/(-12))/8). Factor 6/5*i + 21/5*i**2 + 24/5*i**3 + g + 9/5*i**4.
3*i*(i + 1)**2*(3*i + 2)/5
Let b = 21 + -13. Suppose -10 = -k - b. Determine h, given that 3*h**2 - 17*h**4 + 21*h**5 - 27*h**3 + k*h**4 - 7*h**2 + 19*h**2 + 6*h = 0.
-1, -2/7, 0, 1
Let x = -2535 + 4895. Factor -4*n - x*n**3 + 2364*n**3 + 2*n - 2*n.
4*n*(n - 1)*(n + 1)
Suppose -2*a - 3*a - 2*q - 30 = 0, 3*q = 3*a + 18. Let s be 6/4 + a/(-4). Factor -2*o**5 + 311 - 8*o**4 - 12*o**s - 2*o - 8*o**2 - 311.
-2*o*(o + 1)**4
Let r be (0 - 2) + (-6)/(-2). Let y be 5/r*(0 + 1). Factor -11*q**5 + 7*q**y - 3*q**2 - 5*q**2 + 14*q**4 - 8*q**3.
-2*q**2*(q - 2)**2*(2*q + 1)
Let i(m) = 60*m + 13 - 5 + 35*m**2 + 27. Let t(j) = j**3 - j**2 - j - 1. Let o(b) = -i(b) - 5*t(b). Factor o(k).
-5*(k + 1)*(k + 2)*(k + 3)
Let k(v) = v**2 - 5*v + 7. Let t be k(4). Let f be