51 - 69 = -9*r. Factor f**2 + r*f**2 + 2547*f - 2547*f.
3*f**2
Let f be ((-4 - -17) + -5)/(-18 - -19) + -8. Let z(u) be the first derivative of f*u**2 - 5/4*u**4 + 0*u + 9 + 10/3*u**3 - u**5. Factor z(a).
-5*a**2*(a - 1)*(a + 2)
Let k(g) be the third derivative of g**6/600 - 61*g**5/300 + 59*g**4/60 - 3747*g**2. Factor k(j).
j*(j - 59)*(j - 2)/5
Solve 518/9*o - 520/9 + 2/9*o**2 = 0 for o.
-260, 1
Let c be (-11)/(-5) + 1/(-5). Factor a**4 + 7*a**3 - a - 21*a**3 - a**c + 15*a**3.
a*(a - 1)*(a + 1)**2
Let s = 2157165/4 - 539291. What is w in s*w**2 + 3/4*w - 1 = 0?
-4, 1
Suppose -4*t = -4*a + 8, -4*a - 6 = -5*t - 15. Let v be (6/(-12) + a)*2 + 1. Find k such that -7/2*k - 3/2*k**v + 4*k**3 + 2*k**4 - 1 = 0.
-2, -1/2, 1
Let z be (-44)/396 - 36952/18. Let a = z + 2056. Factor -4/21*b**2 - 2/21*b**a + 2/21*b + 4/21.
-2*(b - 1)*(b + 1)*(b + 2)/21
Let z(q) be the third derivative of q**8/1344 + 19*q**7/840 + 59*q**6/480 - 19*q**5/240 - 5*q**4/8 - 10*q**2 + 236. Determine s so that z(s) = 0.
-15, -4, -1, 0, 1
Let c be (-9)/15 + (-7)/(245/(-91)). Determine x so that 66*x**2 - 135*x + 66 + x**3 - 3*x**3 + 6*x**c - x**3 = 0.
1, 22
Let i be 1140/(-209) - 6/11. Let x be -1 + (470/(-110) - i). Solve -8/11*g**4 + 0 + 2/11*g**5 - x*g**2 + 12/11*g**3 + 2/11*g = 0 for g.
0, 1
Let f(k) be the third derivative of k**8/630 + 3*k**7/175 - 91*k**6/900 - 29*k**5/150 + 3*k**4/20 + 1055*k**2 + 1. Suppose f(v) = 0. Calculate v.
-9, -1, 0, 1/4, 3
Let p = -57 + 61. Suppose -3*i + 2 = -p. Factor -12*q**i + q + 26*q**2 + 2 - 6*q**2 - 9*q**2.
-(q - 2)*(q + 1)
Solve 3/8*p**3 - 1083/8*p + 12*p**2 + 123 = 0 for p.
-41, 1, 8
Suppose -34*z + 9*z + 50 = 0. Let q(m) be the second derivative of -5/6*m**6 + 0 - 20/3*m**4 + 0*m**z + 17/4*m**5 - 22*m + 10/3*m**3. Factor q(x).
-5*x*(x - 2)*(x - 1)*(5*x - 2)
Suppose -6*g + 6*g = g + 5*g. Let n(y) be the first derivative of g*y**2 + 0*y**3 + 0*y - 8/21*y**6 + 1/7*y**4 - 12/35*y**5 + 22. Let n(v) = 0. Calculate v.
-1, 0, 1/4
Let h be (-147)/6*81/(-4) - (-87)/(-3567)*0. Solve -27783/8 - h*a - 3/8*a**3 - 189/8*a**2 = 0.
-21
Let -323456 - 2/7*t**2 + 608*t = 0. Calculate t.
1064
Let f(i) = 32*i + 0 + 25*i**2 - 5*i - 7*i - 20. Let y(w) = 2*w**2. Let d(l) = f(l) - 5*y(l). Factor d(c).
5*(c + 2)*(3*c - 2)
Let t(p) be the third derivative of 0 + 1/2*p**3 + 1/300*p**5 - 76*p**2 - 2/15*p**4 + 0*p. Determine i, given that t(i) = 0.
1, 15
Let i(s) be the second derivative of 1/375*s**6 + 0*s**3 + 1 + 0*s**2 + 1/125*s**5 + 4*s - 1/50*s**4. Factor i(p).
2*p**2*(p - 1)*(p + 3)/25
Let u(m) = -8*m**2 + 3220*m - 6534. Let n(a) = -2*a**2 + 644*a - 1307. Let p(c) = -14*n(c) + 3*u(c). Factor p(h).
4*(h - 2)*(h + 163)
Factor -54 + 56/3*x - 2/9*x**2.
-2*(x - 81)*(x - 3)/9
Let a(q) = -22*q - 709. Let r be a(-32). Let u be (-58)/r - (-40)/(-100). Determine n so that 5*n - 3/5 + 16/5*n**3 - u*n**2 = 0.
1/4, 3
Let h(b) be the third derivative of 1/210*b**6 + 0 - 1/42*b**4 - 1/1470*b**7 - 2*b + 2*b**2 - 1/140*b**5 + 2/21*b**3. Let h(y) = 0. Calculate y.
-1, 1, 2
Let v(d) be the third derivative of d**5/30 - 59*d**4/12 - 62*d**3 - 4*d**2 - 1164*d. Factor v(s).
2*(s - 62)*(s + 3)
Let u(k) be the second derivative of k**6/75 - 11*k**5/50 - k**4/10 + 7*k**3/3 - 22*k**2/5 + 25*k + 14. Let u(d) = 0. What is d?
-2, 1, 11
Let m(l) be the first derivative of -5*l**4/4 + 1330*l**3/3 + 13675*l**2/2 + 34500*l - 755. What is k in m(k) = 0?
-5, 276
Factor -187876 - 5*u**4 - 130*u**2 + 75*u**3 + 187876.
-5*u**2*(u - 13)*(u - 2)
Let m(g) = -g**3 - 13*g**2 - 14*g - 29. Let k be m(-12). Let n be (29/(-261))/(1/k). Determine r so that -2/3 - 1/9*r**2 + n*r = 0.
2, 3
Let d = 173366/5 + -34669. Factor 0 + d*h**3 - 48/5*h**2 + 12/5*h.
3*h*(h - 2)*(7*h - 2)/5
Let i(s) be the second derivative of -s**7/2520 + s**6/1620 + s**5/90 - s**4/27 + 27*s**3/2 - 2*s - 69. Let b(k) be the second derivative of i(k). Factor b(f).
-(f - 2)*(f + 2)*(3*f - 2)/9
Let u be 41*(3 + -5 - -3). Let x = u - 37. Determine n so that -x*n**2 - 14 + 23 - 12*n - 9 = 0.
-3, 0
Let v(h) be the second derivative of -h**6/120 + h**5/60 + h**4/24 - h**3/6 + 25*h**2/2 - h + 60. Let a(k) be the first derivative of v(k). Factor a(g).
-(g - 1)**2*(g + 1)
Let d be ((-3)/(-54))/((-22)/(-255) - (-807)/(-12105)). Suppose d*z**3 + 2/3*z**4 + 8/3*z**2 + 1/2*z + 0 = 0. Calculate z.
-3, -1, -1/4, 0
Let i be (-1 - 3)*(-209)/44. Suppose 2*r = 6*p - 3*p - 6, -p + i = 5*r. Determine b, given that -4*b - 7*b**3 + 12*b + 26*b**2 - 5*b**r - 6*b**2 = 0.
-1/3, 0, 2
Let j(a) = a**2 + 21*a + 43. Let m = -83 - -64. Let i be j(m). Let -3*p**5 - 6*p**5 + 4*p**5 + 10*p + 7*p**i + 4*p**2 + 2*p**4 - 12*p**3 - 6 = 0. Calculate p.
-3, -1, 1
Let a(n) = 4*n**4 - 88*n**3 + 904*n**2 - 3460*n + 4604. Let v(i) = 3*i**3 - i - 1. Let k(j) = a(j) - 4*v(j). Factor k(u).
4*(u - 8)**2*(u - 6)*(u - 3)
Find g such that -3139587/7 - 3/7*g**2 + 6138/7*g = 0.
1023
Let b(g) be the second derivative of -g**5/390 - 7*g**4/156 + 8*g**3/39 - 26*g**2 - g - 8. Let m(v) be the first derivative of b(v). Factor m(r).
-2*(r - 1)*(r + 8)/13
Suppose -5*q = 5*r - 15, 5*r - 5 = -3*q + 2. Let p(n) = 12*n**2 - 20*n + 8. Let u(i) = -i**2 + 2*i - 1. Let j(k) = r*p(k) - 8*u(k). Factor j(f).
-4*f*(f - 1)
Let v = 448 + -452. Let x be v/(-12) - 740/(-84). Factor -x - 96*r**2 + 28*r**3 - 432/7*r.
4*(r - 4)*(7*r + 2)**2/7
Let v = -474 + 473. Let f be (v/(-2))/((-21)/(-60)). Factor 2/7*w**2 + 12/7*w + f.
2*(w + 1)*(w + 5)/7
Suppose -662/11*s + 6/11*s**2 - 444/11 = 0. What is s?
-2/3, 111
Let z(a) = -5*a - 33. Let c be z(-7). What is y in -12*y + 5*y**2 - 61 + 45 - y**c = 0?
-1, 4
Let w(u) be the third derivative of -u**6/60 + 14*u**5/15 - 13*u**4/3 + 2151*u**2 + 1. Factor w(d).
-2*d*(d - 26)*(d - 2)
Let o(n) = -38*n + 326. Let w be o(9). Let z be (-135)/90*w/42. Factor 0 - 6/7*l - z*l**2 + 2/7*l**3.
2*l*(l - 3)*(l + 1)/7
Suppose 15*p = -0*p + 23*p - 56. Let m(x) be the third derivative of 0*x + 1/45*x**5 - 4/9*x**4 - p*x**2 + 32/9*x**3 + 0. Factor m(w).
4*(w - 4)**2/3
Determine j, given that -2*j**2 + 2/11*j**3 - 112/11*j - 120/11 = 0.
-2, 15
Let f be (-93)/(-33) + (-14)/(-77). Suppose 5*h**5 + 15*h**2 - 5*h**f - 10*h**4 + h**2 - 5*h**2 - h**2 = 0. Calculate h.
-1, 0, 1, 2
Suppose 896*f + 45 = 911*f. Let h(a) be the third derivative of 1/80*a**5 + 11*a**2 + 0 + 1/24*a**f + 0*a - 1/32*a**4 - 1/480*a**6. Factor h(b).
-(b - 1)**3/4
Let n(y) be the first derivative of 4*y**5/5 - 18*y**4 - 236*y**3/3 + 2520*y**2 + 19600*y + 4168. Let n(m) = 0. What is m?
-5, 14
Let z = 573 + -569. Factor -80*p - 40 - 41 + 5*p**2 - z.
5*(p - 17)*(p + 1)
Let q be ((-1860)/9548)/((-4)/22). Let j(d) be the first derivative of 18/35*d**5 - 1/7*d**2 + 0*d + 11 + 2/3*d**3 - q*d**4. Factor j(r).
2*r*(r - 1)*(3*r - 1)**2/7
Suppose 0 = 3*s - s + c - 1, 0 = c + 3. Factor -7*n**s + 1 + 6*n**2 - 13 + 3*n - 10*n.
-(n + 3)*(n + 4)
Let u(j) be the second derivative of -3*j**7/70 - 97*j**6/50 - 24*j**5/25 - 59*j - 1. Solve u(y) = 0.
-32, -1/3, 0
Suppose 13*w = 18*w + 15. Let f be 6 - (0/1 - w). Factor 4*t**f + 4*t**3 - 6*t**4 + 2*t**4.
-4*t**3*(t - 2)
Suppose 222*u + 10 = 227*u. Let o be (u/24)/(-2 - (-102)/48). Find n such that -4/21*n + 0 - o*n**2 - 10/21*n**3 = 0.
-1, -2/5, 0
Let w(z) be the first derivative of z**3 + 24*z**2 + 1125. Factor w(g).
3*g*(g + 16)
Let r**2 - 1956*r - 86297 - 87331 + 175583 = 0. What is r?
1, 1955
Let h(i) be the third derivative of i**8/112 - i**7/70 - i**6/40 + i**5/20 + 1655*i**2. Factor h(r).
3*r**2*(r - 1)**2*(r + 1)
Let f(v) be the third derivative of v**6/60 - v**5/15 - v**4/12 + 2*v**3/3 - 123*v**2 - v. Factor f(o).
2*(o - 2)*(o - 1)*(o + 1)
Suppose -60 - 377 = -340*i + 325 - 82. Determine v, given that -37/3*v - 5/3*v**3 - 10/3 - 32/3*v**i = 0.
-5, -1, -2/5
Suppose -203 = 4*o - 303. Solve 66*k + 45*k - 4*k**2 + o*k = 0 for k.
0, 34
What is f in -13/4*f**3 + 13*f - 2*f**2 + 3/4*f**4 - 4 = 0?
-2, 1/3, 2, 4
Let i(v) be the second derivative of -v**5/70 + 75*v**4/7 + 43*v**3 + 452*v**2/7 - 7*v - 369. Factor i(x).
-2*(x - 452)*(x + 1)**2/7
Let c(f) be the second derivative of 36/7*f**7 + 0*f**2 + 68*f + 0*f**3 + 0 - 1/8*f**4 - 69/40*f**5 - 6*f**6. Factor c(w).
3*w**2*(w - 1)*(12*w + 1)**2/2
Find x, given that -1563 + 267*x**2 + 375*x - 1197*x + 3*x**3 + 2115 = 0.
-92, 1, 2
Let v = 15813 - 15809. L