4 - 5/18*g**3 - 1/360*g**5 + 0*g + 0 + 97*g**2. Factor t(r).
-(r + 1)*(r + 10)/6
Let f(s) be the third derivative of s**8/168 - 13*s**7/315 - 11*s**6/180 + s**5/18 - 2*s**2 - 294*s. Let f(v) = 0. Calculate v.
-1, 0, 1/3, 5
Let n be 4 + 1*(-12)/(-6)*-1. Let l be (-3)/n*10/(-120). Factor -3/8*c**4 + 0 - l*c**3 + 3/8*c**2 + 0*c + 1/8*c**5.
c**2*(c - 3)*(c - 1)*(c + 1)/8
Let f(i) be the third derivative of -i**7/140 + 11*i**6/5 - 1029*i**5/40 + 765*i**4/8 - 76*i**2 + 2*i + 20. Factor f(g).
-3*g*(g - 170)*(g - 3)**2/2
Let g(r) = -6*r**5 + 12*r**4 + 13*r**3 + 15*r**2 + 5*r. Let c(w) = 3*w**5 - 6*w**4 - 6*w**3 - 9*w**2 - 3*w. Let p(f) = 5*c(f) + 3*g(f). Factor p(i).
-3*i**3*(i - 3)*(i + 1)
Factor -6/7*d**5 - 3516/7*d**3 + 19500/7*d**2 - 29406/7*d + 246/7*d**4 + 13182/7.
-6*(d - 13)**3*(d - 1)**2/7
Let g(p) = 46*p**2 + 17*p + 16. Let m be g(-1). Let a be (-9)/m - (-226)/30. What is n in -a*n + 8/3*n**2 + 2/3*n**3 + 4 = 0?
-6, 1
Let y(p) = -17*p**3 + 123*p**2 - 81*p - 9. Let w(l) = -2*l**3 - 9*l - 1. Let g(t) = 18*w(t) - 2*y(t). Factor g(h).
-2*h**2*(h + 123)
Let x = 26326/25 + -157531/150. Factor 5/2*j**2 + x*j + 1/3.
(j + 1)*(15*j + 2)/6
Let t(p) be the third derivative of 1/60*p**6 - 4*p**3 + 25/12*p**4 + 0*p - 7/15*p**5 - 1 + 4*p**2. Suppose t(f) = 0. What is f?
1, 12
Let f(q) be the first derivative of q**5/5 + 5*q**4/3 + 4*q**3 - 48*q - 44. Let v(y) be the first derivative of f(y). Let v(w) = 0. What is w?
-3, -2, 0
Let g = 3/26794 + 60285/13397. Factor -g*l**2 + 5/2*l**4 + 3/2*l**3 - 7/2*l + 0.
l*(l + 1)**2*(5*l - 7)/2
Let a(i) be the third derivative of -i**5/20 + 227*i**4/10 + 182*i**3/5 - 2*i**2 + 40*i - 31. Find g such that a(g) = 0.
-2/5, 182
Let n = 261 - 662. Let b = n - -401. Solve 0*x + 1/7*x**3 - 2/7*x**2 + b + 1/7*x**4 = 0 for x.
-2, 0, 1
Let -54/7*o**4 - 100/7*o**3 + 256/7 - 960/7*o + 848/7*o**2 + 10/7*o**5 = 0. What is o?
-4, 2/5, 1, 4
Factor 225*x**2 + 0 + 625/3*x + 17*x**3 + 1/3*x**4.
x*(x + 1)*(x + 25)**2/3
Let p(u) be the first derivative of -u**6/4 - 9*u**5/10 + 5*u**4/8 + 3*u**3 + 318*u + 131. Let o(k) be the first derivative of p(k). Find i such that o(i) = 0.
-12/5, -1, 0, 1
Let -22*v - 78*v**2 + 529*v + 963*v + 180075 - 70*v**2 + 151*v**2 = 0. What is v?
-245
Determine v, given that 0*v - 2/9*v**5 + 0 - 4/9*v**4 + 8/3*v**2 + 22/9*v**3 = 0.
-4, -1, 0, 3
Let o(h) = -12*h**2 - 54*h - 75. Let i(y) = 15*y**2 + 62*y + 75. Let w(q) = -3*i(q) - 4*o(q). Solve w(r) = 0.
-5
Let k(v) be the third derivative of v**6/120 + 7*v**5/20 + 5*v**4/6 + 3057*v**2. Solve k(i) = 0.
-20, -1, 0
Let q(l) = 9*l**2 + 3. Let f(x) = 2 - 2*x**3 + 2 + x**3 - 3. Let j(u) = 3*f(u) - q(u). Factor j(m).
-3*m**2*(m + 3)
Let i = 252 - 252. Suppose -2*s = 4, 3*s - 2 = -5*c + 4*s. Find f, given that i*f + c - 2/3*f**4 + 4/3*f**2 + 2/3*f**3 = 0.
-1, 0, 2
Factor 40*r**3 + 1776/7*r**2 + 2432/7 + 3616/7*r - 4/7*r**4.
-4*(r - 76)*(r + 2)**3/7
Let r be (400/(-1750))/(12/(-7)). Let h(o) be the second derivative of 1/75*o**6 + 1/105*o**7 + 0*o**2 - r*o**3 - 3/50*o**5 - 1/6*o**4 + 0 + 46*o. Factor h(p).
2*p*(p - 2)*(p + 1)**3/5
Suppose 4*k - 53 = 327. Suppose -k - 15 = -2*l. What is r in 125*r**4 + 21 + 33*r + 27*r - l*r**2 - 150*r**3 - 1 = 0?
-2/5, 1
Suppose 44 = -r + 89. Suppose 3*v - 40 = 2*k, 4*k = 4*v + 3*k - r. Solve -15*n**4 + 10*n**3 + 20*n**2 - 17 + 5 - v*n + 7 = 0 for n.
-1, -1/3, 1
Let y(k) be the third derivative of 0*k + 138*k**2 - 1/1080*k**6 + 0*k**3 + 2/135*k**5 + 0 - 1/18*k**4. Let y(g) = 0. Calculate g.
0, 2, 6
Let l(v) = -v**2 - 2*v + 10. Let i be l(0). Suppose y = -i*y + 44. Solve -40*w**3 + 101*w**5 + 96*w**5 + 80*w**2 + 160 + 240*w - 30*w**y - 202*w**5 = 0.
-2, 2
Solve -177/2*j - 3/4*j**2 + 357/4 = 0.
-119, 1
Suppose 4*w + 782 - 863 = -3*x, 5*w - 106 = x. Let z(c) be the second derivative of 0*c**3 + 1 - 1/250*c**5 + 0*c**2 - 1/30*c**4 + w*c. Factor z(n).
-2*n**2*(n + 5)/25
Let j(a) be the second derivative of -a**6/15 + 52*a**5/5 + 214*a**4/3 + 144*a**3 + 13*a + 23. Factor j(x).
-2*x*(x - 108)*(x + 2)**2
Let g(x) be the third derivative of -1/1260*x**6 - 32/63*x**3 + 0 + 7*x**2 + 0*x - 1/63*x**5 - 8/63*x**4. Solve g(i) = 0.
-4, -2
Let g(l) = -2*l**2 - 26*l - 69. Let f be (-27)/36*24/2. Let s be g(f). Factor -18/5 + 2/5*m**4 - 4/5*m**s + 36/5*m - 16/5*m**2.
2*(m - 3)*(m - 1)**2*(m + 3)/5
Let x = -6195533/1793143 - 97/9589. Let u = 42/11 + x. Solve -u - 4/17*l + 2/17*l**2 = 0 for l.
-1, 3
Factor -1/3*k**4 - 73472*k + 328/3*k**3 - 150528 - 25552/3*k**2.
-(k - 168)**2*(k + 4)**2/3
Let q(n) = -7*n**2 - 7940*n - 15784759. Let w(h) = 20*h**2 + 23821*h + 47354272. Let l(o) = 17*q(o) + 6*w(o). Suppose l(i) = 0. Calculate i.
-3973
Solve 122/11*h**2 + 2/11*h**3 + 126/11 - 250/11*h = 0 for h.
-63, 1
Let 57*u**2 + 0*u - 1/2*u**4 + 0 - 55/2*u**3 = 0. What is u?
-57, 0, 2
Suppose -2*h = -2*f + 12, -6 = -2*f - 2*h + 2. Let n(l) be the second derivative of 1/10*l**f - 1/30*l**6 + 0*l**3 + 0*l**2 + 0*l**4 + 0 - 17*l. Factor n(o).
-o**3*(o - 2)
Determine b, given that 60*b**2 + 2/5*b - 2/5*b**3 - 60 = 0.
-1, 1, 150
Let h be -4*(3*(-2)/(-20))/((-12852)/2380). Factor h*s**2 + 4/3*s + 2.
2*(s + 3)**2/9
Let f(u) = 2*u**3 + 2*u**2 - u. Let t(z) = -z + 15*z**3 - 60 - 7*z**3 + 58 + 5*z**3 + 8*z**2. Let v(g) = 6*f(g) - t(g). Factor v(d).
-(d - 2)*(d - 1)**2
Let n = -125628/11 - -377104/33. Factor 0 - n*i**3 + 104/3*i**2 - 20/3*i.
-4*i*(i - 5)*(5*i - 1)/3
Let f = 787 + -281. Factor -7*n + 952*n**3 + f*n**3 + 2 - 46*n - 53*n + 1359*n**2 - 9*n**2.
2*(n + 1)*(27*n - 1)**2
Let f(t) = t**3 + 14*t**2 + 13*t + 2. Let z be f(-13). Let d be (3 - z)/(5/10). Solve 4*r**d - 8*r**3 + 4*r**4 - 21*r + 21*r = 0.
0, 1
Let q be 202*2/32 + (-98)/7 + 7. Let k(p) be the first derivative of 3/16*p**4 + 14 - 6*p - q*p**2 - 3/2*p**3. Factor k(o).
3*(o - 8)*(o + 1)**2/4
Let m = 393/40 - 1139/120. Factor 0*q - 2*q**2 + m*q**3 + 0.
q**2*(q - 6)/3
Determine o so that -390*o - 783*o**2 - 396*o**3 + 101*o**4 - 222*o**4 + 118*o**4 = 0.
-130, -1, 0
Let z = -1437763/1700 + 3383/4. Let o = 1691/1275 + z. Determine l so that 4/3*l + o*l**2 + 0 - l**3 = 0.
-2/3, 0, 2
Let n = 69679/5 - 13935. Let h(u) be the third derivative of n*u**3 + 14*u**2 - 1/150*u**5 + 1/15*u**4 + 0*u + 0. Find d such that h(d) = 0.
-2, 6
Let x(y) be the first derivative of -y**5 - 25*y**4 - 185*y**3/3 - 45*y**2 + 892. Factor x(d).
-5*d*(d + 1)**2*(d + 18)
Let y(p) be the third derivative of -3215*p**5/12 - 5*p**4/12 - 4*p**2 + 6*p + 22. Determine m, given that y(m) = 0.
-2/3215, 0
Factor 61 + 63/2*r + 1/2*r**2.
(r + 2)*(r + 61)/2
Let q(r) be the first derivative of r**7/168 + r**6/12 - 20*r**4/3 - 7*r**3/3 + r - 35. Let x(j) be the third derivative of q(j). Factor x(d).
5*(d - 2)*(d + 4)**2
Let k(o) be the second derivative of 3*o**5/20 - 993*o**4/4 + 328683*o**3/2 - 108794073*o**2/2 + 70*o - 31. Find v such that k(v) = 0.
331
Determine y, given that 0 + 45/2*y + 3/2*y**3 - 12*y**2 = 0.
0, 3, 5
Let w(i) be the third derivative of i**5/180 + 47*i**4/72 + 23*i**3/9 + 1943*i**2. Factor w(f).
(f + 1)*(f + 46)/3
Let l(v) be the second derivative of -54000*v**2 + 1800*v**3 + 1/5*v**5 + 12*v - 30*v**4 + 1. Factor l(j).
4*(j - 30)**3
Let x(s) be the third derivative of 25*s**8/48 + 37*s**7/21 - 17*s**6/24 - 11*s**5/3 + 5*s**4/2 + s**2 - 138. Find t such that x(t) = 0.
-2, -1, 0, 2/7, 3/5
Let j be (-51)/(1 + 4/(-16)). Let a = 77 + j. Suppose -10 + 10*v**4 + 1 + a + 5*v**3 + 5*v**5 = 0. Calculate v.
-1, 0
Let l be -10 + (403/20 - (-10 + (-235)/(-20))). Determine i, given that -214/5*i**2 - 72/5*i**3 + 72/5 - 4/5*i**5 + l*i**4 - 24/5*i = 0.
-1, 1/2, 6
Let w = -226823/4 + 56706. Let -3/4*u + w*u**2 + 1/2 = 0. Calculate u.
1, 2
Let n(m) = -m**2 - 11*m + 5. Let x(o) be the second derivative of -o**3/6 - o**2/2 - 29*o. Let h(d) = -4*n(d) - 20*x(d). Factor h(y).
4*y*(y + 16)
Let 74*z**2 + 27*z**2 + 2*z**5 + 23*z + 9*z - 24*z**3 - 2*z**4 - 109*z**2 = 0. What is z?
-2, 0, 1, 4
Let f(a) = -793*a**3 - 494*a**2 - 499*a + 6. Let b(n) = -1719*n**3 - 987*n**2 - 997*n + 13. Let v(t) = -6*b(t) + 13*f(t). Factor v(o).
5*o*(o - 101)*(o + 1)
Let h = -15175 + 15179. Let d(g) be the first derivative of 9*g**h - 27*g**2 + 1/3*g**6 + 16/5*g**5 + 24 + 0*g + 0*g**3. Solve d(n) = 0.
-3, 0, 1
Let i(r) be the first derivative of 128*r + 16/3*r**2 + 44 + 2/27*r**3. Let i(j