f f(a). Factor v(j).
-j*(j + 1)**2*(j + 2)/4
Let v be 2632/(-6768)*(-12)/(-14)*(-6)/9. Factor -2/9*z**3 + 2/9*z**2 - v + 2/9*z.
-2*(z - 1)**2*(z + 1)/9
Let n(v) be the first derivative of 5*v**3/9 - 10*v**2 - 2240*v/3 + 2183. Solve n(g) = 0 for g.
-16, 28
Let h(w) be the second derivative of -w**4/120 + 5*w**3/2 + 4*w - 155. Let h(g) = 0. Calculate g.
0, 150
Let x be (-76)/152 + 9/2. Solve -2*b**3 - 24*b**2 + 2*b**3 + 3*b**3 + 9*b**5 + 24*b**x - 12*b = 0.
-2, -1, -2/3, 0, 1
Let y be ((-297)/7425)/(24/(-1400)). Factor 5/2 - 1/6*p**2 + y*p.
-(p - 15)*(p + 1)/6
Let a(o) be the first derivative of -o**6/960 + 11*o**5/320 + 3*o**4/16 + 101*o**3/3 - 98. Let x(k) be the third derivative of a(k). Let x(c) = 0. Calculate c.
-1, 12
Suppose -1148 = 11*h - 4*h. Let l = h - -164. Find s such that 0*s + l*s**2 + 2/7*s**3 - 1/7*s**4 - 1/7*s**5 + 0 = 0.
-2, 0, 1
Let j(a) = a**2 + 10*a + 3. Let p be j(-10). Suppose 5*b - 3*d - 15 = 10, 4*d = p*b - 26. What is f in f**3 + 3*f + 4*f**3 - b*f**3 + 6*f**2 = 0?
-1, 0
Let m(p) be the third derivative of p**6/600 - p**5/75 - 31*p**4/120 + 7*p**3/3 + p**2 + 1686. Factor m(d).
(d - 7)*(d - 2)*(d + 5)/5
Let l = -21 + 13. Let u(p) = 15*p**2 + 53*p - 52. Let j(f) = -5*f**2 - 18*f + 17. Suppose 0 = 797*h - 789*h + 24. Let k(v) = h*u(v) + l*j(v). Factor k(g).
-5*(g - 1)*(g + 4)
Suppose 258*f = 246*f + 112596. Factor -f + 2*p**2 + 2*p**2 - 24*p + 9355.
4*(p - 7)*(p + 1)
Let p(v) be the first derivative of 9*v**4/22 + 52*v**3/33 - 40*v**2/11 - 1200. Factor p(i).
2*i*(i + 4)*(9*i - 10)/11
Let j(c) = 5*c**2 + 7 + 0 - 39*c**3 + 20*c**3 - 5*c + 18*c**3. Let b be j(4). Factor -n**3 - 3*n**3 - b*n**2 + 5*n**3 + 6*n**2.
n**2*(n + 3)
Let q be 1838/(-18) - (-4)/(-108)*-3. Let b be (-9)/21 + 1/((-42)/q). Suppose -8/17*u**b + 2/17*u**4 + 8/17*u**3 + 0 + 0*u - 2/17*u**5 = 0. Calculate u.
-2, 0, 1, 2
Suppose -5*g + 3*x - 51 + 64 = 0, -3 = 3*x. Suppose 2*j = -3*j - 0*j. Solve 0 - 3/2*k + j*k**g + 3/2*k**3 = 0 for k.
-1, 0, 1
Let w = 86537 - 86509. Factor 0*v + w*v**3 + 4/3*v**4 + 0 + 80/3*v**2.
4*v**2*(v + 1)*(v + 20)/3
Let z be 9/12 + 9622/(-15848). Factor 1/7*v + z*v**2 - 1/7*v**4 - 1/7*v**3 + 0.
-v*(v - 1)*(v + 1)**2/7
Let k = -20900 - -250807/12. Let z(p) be the second derivative of -3*p + k*p**4 - 37/6*p**3 + 0 + 5*p**2. Factor z(l).
(l - 5)*(7*l - 2)
Let w(k) be the second derivative of 35/6*k**3 - 2*k**5 + 0*k**2 + k**6 - 5/2*k**4 + k + 5/42*k**7 + 32. Find j, given that w(j) = 0.
-7, -1, 0, 1
Suppose 2*p = -75 - 99. Let k = -81 - p. Factor -w**5 - 6*w**3 + w**3 + k*w**5 + 10*w**2 - 10*w**4.
5*w**2*(w - 2)*(w - 1)*(w + 1)
Let f(k) = 3*k**3 - 45*k**2 - 862*k - 2892. Let d(c) = 15*c**3 - 225*c**2 - 4309*c - 14448. Let b(p) = 2*d(p) - 11*f(p). Determine h, given that b(h) = 0.
-6, 27
Let f be 338/6 - (3859 - 3809). Factor -1/3*l**3 + f*l - 2/3*l**2 + 20/3.
-(l - 4)*(l + 1)*(l + 5)/3
Suppose 0*a - 4 = -2*a. Let m = 49961/2 - 24978. Factor 1/4*v**a + m*v - 11/4.
(v - 1)*(v + 11)/4
Let m(f) = f**3 - 8*f**2 - 8*f + 12. Let h be m(9). Factor 34 - 20*x**2 + 29*x + h*x**2 - 6.
(x + 1)*(x + 28)
Let d(f) be the second derivative of -f**5/90 - 11*f**4/54 + 26*f**3/27 + 20*f + 6. What is a in d(a) = 0?
-13, 0, 2
Let g = -46 + 48. Suppose -g = 4*l - 18. What is j in -6*j**3 + 0*j**4 + 2*j**3 - 59*j - 12*j**2 + 4*j**l + 63*j + 8 = 0?
-1, 1, 2
Let y(a) = 150*a**3 + 987*a**2 + 1932*a + 1200. Let o(r) = -151*r**3 - 987*r**2 - 1896*r - 1200. Let m(v) = 3*o(v) + 4*y(v). Find g, given that m(g) = 0.
-20/7, -1
Let o(d) = d**2 - 3*d + 2. Let y be o(4). Let i be (1 + -42)*(5 - y). Factor 6 + 10*k**2 + 4*k**3 + i*k - 2*k**3 - 27*k.
2*(k + 1)**2*(k + 3)
Let h(r) be the first derivative of -4*r**3/3 - 11604*r**2 - 33663204*r - 1392. Factor h(q).
-4*(q + 2901)**2
Let g be -8*(0 + -1) + -3. Let h(u) be the third derivative of -5/3*u**3 - 3/4*u**g + 0*u + 0 + 55/24*u**4 + 9*u**2. Factor h(o).
-5*(o - 1)*(9*o - 2)
Suppose -151 = -7*a + 25*a - 151. Let y(s) be the second derivative of -1/6*s**3 + 0 + a*s**2 + 17*s + 1/30*s**6 + 1/20*s**5 - 1/12*s**4. Factor y(l).
l*(l - 1)*(l + 1)**2
Let q(h) be the first derivative of h**6/6 + 67*h**5/12 - 85*h**4/24 + 4*h**2 - 3*h + 58. Let w(v) be the second derivative of q(v). Factor w(s).
5*s*(s + 17)*(4*s - 1)
Let a be (32 - 23)*-1 - (245/(-15) + -6). Solve 2/9*q**4 + 0 - 28/9*q**3 + a*q**2 - 16*q = 0.
0, 2, 6
Suppose h = 2*o - 856, -5*h - 5*o = -7*h - 1717. Let z = 848 + h. Factor 16/9*l - 4/9*l**z + 0.
-4*l*(l - 4)/9
Factor -4/7*d**4 - 386836/7*d**2 + 225360*d - 226800 - 2504/7*d**3.
-4*(d - 2)**2*(d + 315)**2/7
Suppose 0 = -22*l - 7*l + 754. Suppose -20 = -4*k, 4*m - k - l = k. Factor m*z + 6 + 3/4*z**3 + 9/2*z**2.
3*(z + 2)**3/4
Let n(a) be the second derivative of a**7/280 + 3*a**6/160 + a**5/80 - 37*a**3/6 - a + 50. Let l(o) be the second derivative of n(o). Solve l(q) = 0 for q.
-2, -1/4, 0
Factor 0*l + 0 - 27/5*l**4 + 0*l**2 + 3/5*l**5 - 66/5*l**3.
3*l**3*(l - 11)*(l + 2)/5
Let -712/3*o - 2/3*o**2 - 63368/3 = 0. Calculate o.
-178
Factor 73*u + 49 - 61 - 181*u - 4418*u**2 - 1208*u - 86.
-2*(47*u + 7)**2
Let a(p) be the second derivative of 23/30*p**4 + 58/75*p**5 - 7/5*p**6 + 4/15*p**2 - 4/5*p**3 + 18/35*p**7 - 34*p + 0. Suppose a(r) = 0. What is r?
-1/2, 2/9, 1
Suppose 2*b - 5589 + 5521 = 0. Suppose b*w - 48*w = -42. Solve 16/5*n**2 - 4*n**5 + 0*n + 48/5*n**w + 12/5*n**4 + 0 = 0.
-1, -2/5, 0, 2
Let y(g) be the third derivative of 5*g**8/336 + 23*g**7/42 + 91*g**6/24 - 503*g**5/12 + 65*g**4/3 + 1690*g**3/3 - 2106*g**2. Determine p so that y(p) = 0.
-13, -1, 2
Let 972/5 - 18*i + 2/5*i**2 = 0. What is i?
18, 27
Suppose -6 - 2 = -4*p. Let y = -10157/2 + 20317/4. Factor 0 + y*b**p + 3/4*b.
3*b*(b + 1)/4
Let s(b) be the first derivative of b**4/4 - 238*b**3/3 + 6960*b**2 + 28800*b + 3217. Factor s(o).
(o - 120)**2*(o + 2)
Solve -5950814 + 17686330 + 12075214 - 15739*f + 4*f**2 - 4477*f + 1732186 = 0.
2527
Let s(r) be the third derivative of r**5/240 - 271*r**4/48 + 6253*r**2. Factor s(m).
m*(m - 542)/4
Let k(r) = -215*r**2 - 1907*r + 94. Let s(n) = -235*n**2 - 1909*n + 93. Let g(u) = 7*k(u) - 6*s(u). Factor g(p).
-5*(p + 20)*(19*p - 1)
Let k be 864/(-6480) - 32/(-15). Factor 12/5 - 1/5*v**k - 11/5*v.
-(v - 1)*(v + 12)/5
Let p = -31378/9 - -3488. Let n = 21/10 - 149/90. Factor -n + p*b**2 - 10/9*b.
2*(b - 1)*(7*b + 2)/9
Let c(h) be the first derivative of h**4/18 - 16*h**3/9 + 59*h**2/9 + 56*h/3 - 2954. What is q in c(q) = 0?
-1, 4, 21
Let s(c) be the second derivative of -c**5/30 + 203*c**4/9 - 41209*c**3/9 + 442*c - 1. Factor s(u).
-2*u*(u - 203)**2/3
Let t(c) = -c**2 + c + 2. Let n = 448 - 451. Let f(i) = -6*i**2 - 27*i - 21. Let s(y) = n*t(y) + f(y). Factor s(l).
-3*(l + 1)*(l + 9)
Let p = 338323/748 - 17251/44. Let -1920/17*f + 42/17*f**4 - 2/17*f**5 - 328/17*f**3 + 1184/17*f**2 + p = 0. Calculate f.
1, 4, 8
Let k = 249927 + -249925. Factor 16/9*o**k + 40/9*o + 2/9*o**3 + 32/9.
2*(o + 2)**2*(o + 4)/9
Find x such that 24*x**4 + 39*x**2 - 279/5*x**3 - 42/5*x + 0 - 12/5*x**5 = 0.
0, 1/2, 2, 7
Suppose 0 = -4*c - 5*n - 82, 2*c - 10626*n + 10631*n = -86. Find o such that 0 - 26/9*o - 2/9*o**c = 0.
-13, 0
Let i(q) = q**2 - 15*q + 28. Let f be (42/(-2))/((-45)/30). Let j be i(f). Solve j*b + 0*b**2 + 9*b - 2*b**3 - 21*b - 2*b**2 + 2 = 0.
-1, 1
Factor 19*l**5 - 9*l**5 - 20*l**4 + 8*l**4 - 14*l**5 + 39*l**3 - 3*l**3 + 108*l**2.
-4*l**2*(l - 3)*(l + 3)**2
Factor 12/11*u**3 + 166/11*u**2 + 560/11*u - 98/11.
2*(u + 7)**2*(6*u - 1)/11
Let n(o) be the third derivative of -o**5/12 + 325*o**4/12 - 215*o**3/2 + 4*o**2 - 294. Find t, given that n(t) = 0.
1, 129
Let x(h) = h**3 + 6*h**2 - 7. Let o be x(5). Factor o + 4*z**2 - 3*z - 145 - 135 + 11*z.
4*(z - 1)*(z + 3)
Let o(x) be the third derivative of x**6/660 + 2*x**5/165 - 19*x**4/132 + 14*x**3/33 + 765*x**2. Factor o(t).
2*(t - 2)*(t - 1)*(t + 7)/11
Suppose -5*z = 5*g - 104 + 19, -2*g = 4*z - 78. Find h, given that -35*h**3 - 13*h + z*h**4 - 5*h**5 - 6*h**3 + 2 + 16*h**2 + 3*h**3 + 16*h**2 = 0.
2/5, 1
Let d be (-29)/(-9) + 1 + (-55)/45. What is h in -2*h**2 + h**4 - 237*h + 237*h - h**d = 0?
-1, 0, 2
Let l(x) be the third derivative of 13*x**7/210 - 5*x**6/12 - 73*x**5/60 - 5*x**4/12 + 1473*x**2. Determine w, given that l(w) = 0.
-1, -2/13, 0, 5
Let i = -665797178 + 7556132168096/