) - y/8. Factor 0 + 2/5*i - 2/5*i**3 + k*i**4 - 2/5*i**2.
2*i*(i - 1)**2*(i + 1)/5
Factor 31339/2*w + 13035/2*w**2 + 11979 + 1425/2*w**3 - 125/2*w**4.
-(w - 18)*(5*w + 11)**3/2
Solve -9/4*b + 10 + 1/8*b**2 = 0.
8, 10
Let n(y) be the third derivative of -2*y**7/105 - 29*y**6/30 + 2*y**5 - 1349*y**2. Determine w so that n(w) = 0.
-30, 0, 1
Let f(w) = 7*w + 3*w + 11 + 3*w - 4*w. Let v be f(-1). What is g in -4/13 + 2/13*g**v - 2/13*g = 0?
-1, 2
Let k be (19 + 1998/(-148))*(-2 - 106/(-44)). What is t in -k*t**4 + 6*t**3 + 0*t + 0 - 9/4*t**2 - 3/2*t**5 = 0?
-3, 0, 1/2, 1
Suppose -2469*s + 6*z = -2472*s - 72, 3*s + z + 7 = 0. Factor 9/4 + 6*r - 33/4*r**s.
-3*(r - 1)*(11*r + 3)/4
Let a be (-30 - 11520/(-385)) + (-24)/(-66). Factor -60/7*t + 450/7 + a*t**2.
2*(t - 15)**2/7
Let s be (-1552)/20 - (-1 + 2/5). Let b = -53 - s. Let r(m) = -m**2. Let i(p) = -7*p**2 + 2*p - 8. Let q(a) = b*r(a) - 3*i(a). Suppose q(y) = 0. Calculate y.
-4, 2
Suppose 595*z = 511*z + 168. Factor -6/7*w + 2/7*w**z + 4/7.
2*(w - 2)*(w - 1)/7
Let k(m) be the third derivative of -5*m**8/336 + 4*m**7/21 - 19*m**6/24 + 2*m**5/3 + 25*m**4/6 - 40*m**3/3 - 19*m**2 - 3*m. Find s, given that k(s) = 0.
-1, 1, 2, 4
Suppose -3*r - 1 = -2*c - 7, 0 = -2*r + 3*c - 1. Factor -r*q**2 - 410*q + 2*q**2 + 380*q - 52.
-2*(q + 2)*(q + 13)
Let c(i) be the second derivative of -i**4/54 + 1862*i**3/27 - 866761*i**2/9 - 52*i - 20. Solve c(l) = 0.
931
Let y = -37 - -114. Let l = y + -71. Find v such that -6*v - 3/2*v**3 + 0 - l*v**2 = 0.
-2, 0
Let o(t) = 2*t**2 + 6*t + 13. Let r be o(-3). Factor -7*a**4 + r*a**2 + 9*a**3 - 58*a - a**2 + 54*a.
-a*(a - 2)*(a + 1)*(7*a - 2)
Suppose 0 = 1168*g - 1156*g - 3780. Suppose 405 = 18*c + g. Solve -14/15*i**4 + 2/15*i**3 - 2/5*i**c + 14/15*i**2 + 0 + 4/15*i = 0.
-2, -1, -1/3, 0, 1
Let n(p) be the third derivative of 3/110*p**5 + 0*p**3 + 1/66*p**4 - 1/462*p**8 + 0 - 3/385*p**7 + 0*p + 1/330*p**6 - 59*p**2. Solve n(s) = 0.
-2, -1, -1/4, 0, 1
Let x(v) = -3*v + 57. Let d be x(7). Determine u, given that -37*u - u**3 + 72 + d*u + 14*u**2 - 59*u = 0.
2, 6
Let s(m) be the third derivative of -m**6/660 - m**5/110 + 7*m**4/33 + 20*m**3/11 + 2*m**2 + 52. Solve s(j) = 0 for j.
-6, -2, 5
Let o(c) = -5*c**2 - 293*c + 294. Let m(b) = 37*b**2 + 2049*b - 2056. Let p(z) = 2*m(z) + 15*o(z). Factor p(j).
-(j - 1)*(j + 298)
Suppose 2*i + 5*w = -46, -i + 208*w - 204*w + 42 = 0. Factor 0 + 2/5*r**i + 28/5*r.
2*r*(r + 14)/5
Let t(q) be the second derivative of -1/3*q**4 + 4*q**3 - 66*q + 0*q**2 - 2/15*q**6 + 0 - 4/5*q**5. Factor t(c).
-4*c*(c - 1)*(c + 2)*(c + 3)
Let r(i) = 55*i**4 - 50*i**3 + 35*i**2 - 70*i. Let b(w) = 2*w**4 - 4*w**3 + w**2. Let u(p) = -30*b(p) + r(p). Let u(x) = 0. What is x?
-1, 0, 1, 14
Let b(o) = 4*o**2 + 12856*o - 3434732. Let l(a) = -2*a**2 - 4286*a + 1144912. Let s(j) = 3*b(j) + 8*l(j). Factor s(h).
-4*(h - 535)**2
Let c(q) = -8*q**3 - 6*q**2 - 3*q + 17. Let t(f) = 7*f**3 + 6*f**2 + 3*f - 16. Let b be (14/(-6))/((-4)/12). Let y(i) = b*t(i) + 6*c(i). Factor y(s).
(s - 1)*(s + 2)*(s + 5)
Suppose 0 = -0*z - z. Let w be 153/9 - (-2268)/(-140). Suppose -12/5*u**2 + z + w*u**3 + 0*u = 0. What is u?
0, 3
Let l(r) be the third derivative of 0*r**3 - 23/30*r**6 + 13 - 2/3*r**4 + 0*r + 4/3*r**5 + 2/15*r**7 + 4*r**2. Factor l(x).
4*x*(x - 2)*(x - 1)*(7*x - 2)
Let c(p) be the second derivative of -2*p**7/7 - 29*p**6/10 + 267*p**5/20 + 154*p**4 + 394*p**3 + 240*p**2 + 27*p + 4. Solve c(f) = 0 for f.
-8, -2, -1/4, 5
Let v be ((-40)/(-2))/(306/(-1479)*-29). Factor -2/3*s**4 + 0 - v*s**2 - 100/3*s + 16/3*s**3.
-2*s*(s - 5)**2*(s + 2)/3
Let y(h) be the first derivative of -h**6/6 + 4*h**5/5 - 3*h**4/2 + 4*h**3/3 - h**2/2 - 1564. Solve y(f) = 0.
0, 1
Let p(w) be the first derivative of -3*w**4/4 - 71*w**3/3 + 12*w**2 - 7016. Factor p(x).
-x*(x + 24)*(3*x - 1)
Suppose -8*w - 4 + 28 = 0. Suppose 4*h + d - 1 = 0, -w*h - 4*d + 6 = 2. Let -3/8*v**4 + h*v + 3/8*v**5 + 0*v**3 + 0 + 0*v**2 = 0. What is v?
0, 1
Let w = -1598 - -1601. Let f(d) be the first derivative of -4/9*d**w - d + 19/12*d**2 - 13 - 5/24*d**4. Factor f(n).
-(n - 1)*(n + 3)*(5*n - 2)/6
Factor 109*p**3 + 235*p - 70874 + 70865 - 1547*p**2 + 60*p**3.
(p - 9)*(13*p - 1)**2
Let h(x) be the second derivative of 0 + 0*x**3 - 12*x + 1/24*x**4 + 7*x**2 + 7/240*x**6 + 3/40*x**5. Let g(k) be the first derivative of h(k). Factor g(l).
l*(l + 1)*(7*l + 2)/2
Let w be 27/(-6)*1 + 915/54 + -12. Determine z, given that -w*z**2 - 56/9 - 4*z = 0.
-7, -2
Suppose 3*h = -3*j, 2*j - 7*j + 8 = 3*h. Let z be -18*j/(2 + -14). Factor 3*u**2 - z*u**2 + 6 - 12 + 15*u - 6*u**2.
-3*(u - 1)*(3*u - 2)
Let k(l) be the first derivative of -31*l**2 + 630*l + 371. Let h be k(9). Factor 36*x + 6*x**2 + 1/3*x**3 + h.
(x + 6)**3/3
Let w(y) = 17*y**3 + 30*y**2 + 49*y + 42. Let t(i) = 2*i**3 - i + 2. Let c(b) = 6*t(b) - w(b). Factor c(o).
-5*(o + 1)*(o + 2)*(o + 3)
Let q(b) be the second derivative of 0*b**3 + 0*b**2 + 1/120*b**6 + 3/40*b**5 + 11*b + 2 + 5/48*b**4. Solve q(w) = 0.
-5, -1, 0
Let m be (-4)/(-30)*-10*(-121)/4. Let o = m + -361/9. Factor 0 + 2/9*g - 2/9*g**4 + 2/9*g**2 - o*g**3.
-2*g*(g - 1)*(g + 1)**2/9
Let m(b) = -2*b**4 - 3*b**3 - b**2 + b. Let c(g) = 5*g**4 + 85*g**3 - 1585*g**2 + 5469*g - 5184. Let j(l) = -c(l) - 3*m(l). Factor j(q).
(q - 36)**2*(q - 2)**2
Let t(k) be the first derivative of 16*k**4 - 64/3*k**3 + 4/5*k**5 + 45 + 0*k**2 + 0*k - 2/3*k**6. Find y such that t(y) = 0.
-4, 0, 1, 4
Let i(k) = 2*k**2 - 14*k. Let w be i(7). Let m be (-29 - -4)/(-1 - w/(-1)). Factor 66 - 66 + 5*q**2 + m*q.
5*q*(q + 5)
Suppose 2/9*b**4 + 2/3 - 4/9*b**3 + 4/9*b - 8/9*b**2 = 0. What is b?
-1, 1, 3
Let y(w) = -136 + 136 + w**2 - w. Let r be y(2). Factor -r*g**2 + g - g - 70 + 78.
-2*(g - 2)*(g + 2)
Suppose 2320940224/3 + 1/3*z**3 + 1324*z**2 + 1752976*z = 0. What is z?
-1324
Factor 1/4*f**2 + 2468041/4 + 1571/2*f.
(f + 1571)**2/4
Let t(s) be the first derivative of 0*s - 171/16*s**4 + 41 + 3/20*s**5 - 29/2*s**3 + 0*s**2. Factor t(i).
3*i**2*(i - 58)*(i + 1)/4
Solve 180*h**3 - 255 + 5*h**5 + 200*h**4 - 2987*h**2 - 985*h + 2377*h**2 - 135 = 0.
-39, -1, 2
Let h(r) be the first derivative of -3*r**4/16 - 89*r**3/4 + 3*r**2/2 + 267*r + 3706. Factor h(l).
-3*(l - 2)*(l + 2)*(l + 89)/4
Let h = 11554 + 1311. Suppose -4*q**3 - 29665*q - 127*q**2 - 92*q**2 - 453*q**2 + 4898*q - 702464 - h*q = 0. Calculate q.
-56
Suppose 4*c - 26 = 3*y - 8, -2*y = 4*c - 28. Let b(a) be the third derivative of 1/40*a**5 + 0*a**4 + 31*a**y + 0*a**3 + 0 + 7/160*a**6 + 0*a. Solve b(x) = 0.
-2/7, 0
Let r(c) = -c. Let b be r(-2). Suppose 28 = 6*x + 4. Factor -8*n**3 - 12 + 14*n**b - 5*n**2 + 2*n**3 + n**x - 3*n + 7*n.
(n - 3)*(n - 2)**2*(n + 1)
Factor -5119*b + 6220*b**2 + 2720 + 2985*b - 4706*b + 375*b**4 - 6*b**5 + b**5 - 2470*b**3.
-5*(b - 68)*(b - 2)**3*(b - 1)
Let h(z) = -z**5 - 6*z**4 - z**2 - z + 1. Let l(y) = 4*y**5 + 147*y**4 + 273*y**3 + 136*y**2 + y - 1. Let u(b) = -h(b) - l(b). Factor u(f).
-3*f**2*(f + 1)**2*(f + 45)
Let k(g) be the first derivative of -4*g**5/25 + 744*g**4/5 - 550552*g**3/15 - 555024*g**2/5 - 556516*g/5 + 2205. Factor k(n).
-4*(n - 373)**2*(n + 1)**2/5
Let x(l) be the third derivative of 11*l**4/24 - 39*l**3/2 + 2*l**2 + 32*l. Let a be x(11). Factor 0 - 6/5*b**3 + 21/5*b**a + 0*b + 0*b**2 - 3*b**5.
-3*b**3*(b - 1)*(5*b - 2)/5
Find g, given that -483/8*g**3 + 48*g**2 - 39/4 + 159/8*g + 9/4*g**4 = 0.
-1/2, 1/3, 1, 26
Let a(t) = -5*t**3 + 22*t**2 - 26*t - 142. Let j(z) = -22*z**3 + 90*z**2 - 105*z - 575. Let y(x) = -9*a(x) + 2*j(x). Suppose y(h) = 0. Calculate h.
-2, 4, 16
Let u(x) = 4*x + 24. Let i be u(-10). Let s be (1/2)/((-2)/i). Determine y, given that y**4 - y**5 - y**3 - 3*y**s + y**4 + 3*y**4 = 0.
0, 1
Let 766*k**2 + 1078*k**2 - 5*k**3 - 1594*k**2 = 0. What is k?
0, 50
Let o(s) = -s**3 + 14*s**2 + 13*s + 34. Let b be o(15). Let d(k) be the second derivative of 2/11*k**2 + 11*k + 0 - 5/66*k**b + 1/11*k**3. Factor d(f).
-2*(f - 1)*(5*f + 2)/11
Let u(b) = -b**2 - 8*b - 9. Let d be u(-4). Suppose d*t - 4*t = 75. Determine i so that -t*i + 15*i**3 + 61*i + 27*i**2 - 15*i + 6 + 3*i**4 = 0.
-2, -1
Let r(g) be the first derivative of -g**4/26 - 10*g**3/39 - 2*g**2/13 + 16*g/13 + 811. Factor r(c).
-2*(c - 1)*(c + 2)*(c + 4)/13
Suppose 51 - 17 = b + f, b - 3*f 