 7)**2/15
Let s(g) be the third derivative of g**6/220 - 18*g**5/55 - 9*g**4/44 + 324*g**3/11 + 82*g**2 - 4*g - 4. Factor s(j).
6*(j - 36)*(j - 3)*(j + 3)/11
Solve -2/19*f + 180/19 - 2/19*f**2 = 0.
-10, 9
Let d = -1721106143258012/97365 - -17676846334. Let j = 2/6491 + d. Factor 38/15*u**2 + 56/15*u + 8/5 + j*u**3.
2*(u + 2)**2*(4*u + 3)/15
Let n(m) be the third derivative of -m**8/336 + 31*m**7/105 + 79*m**6/24 + 218*m**5/15 + 203*m**4/6 + 136*m**3/3 - 6*m**2 + 40*m. Determine i so that n(i) = 0.
-2, -1, 68
Factor -3/4*c**3 - 9801/4 + 189/4*c**2 - 2673/4*c.
-3*(c - 33)**2*(c + 3)/4
Let c be ((-5122)/39)/((-32)/(-84)). Let p = -344 - c. Factor -3/2*b**3 + 0*b + 0 - p*b**4 - 3/4*b**2.
-3*b**2*(b + 1)**2/4
Determine h so that 32 - 2*h**2 + 2/3*h**3 - 32/3*h = 0.
-4, 3, 4
Factor -20 + 114/11*u - 2/11*u**3 + 108/11*u**2.
-2*(u - 55)*(u - 1)*(u + 2)/11
What is c in 122824732047424 + 7309*c**3 + 99033889420*c + 109674236404*c + 132991584*c**2 + 4*c**4 + 30355*c**3 = 0?
-2354
Let b be -2*3/3 + 34. Let v be (12/(-8))/((-24)/b). Determine d, given that 4*d + 5*d + 10 - v*d**2 + 4*d - 5*d = 0.
-1, 5
Let z = 11648 + -11646. Let u be -1 + 1 - 2/(-8). Find h such that u + 1/2*h + 1/4*h**z = 0.
-1
Suppose 1849*o + 1555*o = 0. Suppose -1/2*i**5 - 23*i**3 + o + 30*i**2 - 25/2*i + 6*i**4 = 0. What is i?
0, 1, 5
Let p(q) be the second derivative of 2/3*q**3 - 5/18*q**4 - q + 0 - 1/30*q**5 + 0*q**2. Suppose p(h) = 0. Calculate h.
-6, 0, 1
Let k(z) = 3*z**3 - 69*z**2 - 507*z + 389. Let o(v) = 2*v**3 - 46*v**2 - 331*v + 260. Let g(n) = -5*k(n) + 8*o(n). What is y in g(y) = 0?
-5, 1, 27
Suppose -27*a**4 + 312720*a**5 - 18 + 54*a + 69*a - 273*a**3 - 312736*a**5 - 93*a**4 - 128*a**2 = 0. What is a?
-3, -2, 1/4
Let s(c) be the second derivative of 0*c**3 - 79*c + 0*c**2 + 4/15*c**4 + 0 - 2/105*c**7 + 2/15*c**6 - 8/25*c**5. Determine a so that s(a) = 0.
0, 1, 2
Let g = 20 - 17. Suppose 11 = 2*j - n, j - 3*j - g*n = -7. Factor j*f + 0 + 6*f**4 + f - 8 + 10*f**2 - 6*f**3 - 8*f**4.
-2*(f - 1)**2*(f + 1)*(f + 4)
Let x(h) be the second derivative of h**7/231 - 59*h**6/55 + 5307*h**5/55 - 112694*h**4/33 + 195112*h**3/11 - 5991*h. Solve x(m) = 0 for m.
0, 3, 58
Let t(d) be the third derivative of d**5/150 - 101*d**4/4 - 2335*d**2. Factor t(z).
2*z*(z - 1515)/5
Let w(u) = -u**4 - u**2 + 1. Let l(m) = 4*m**5 - 32*m**4 + 36*m**3 - 24*m**2 + 8. Let x = 438 - 439. Let v(s) = x*l(s) + 8*w(s). Factor v(k).
-4*k**2*(k - 4)*(k - 1)**2
Let w(l) be the first derivative of 3/7*l**2 + 0*l + 11/21*l**3 - 57 + 1/35*l**5 + 3/14*l**4. Find s such that w(s) = 0.
-3, -2, -1, 0
Suppose -2550*r - 106*r**2 - 1820523 + 1065*r - 3189*r + 103*r**2 = 0. What is r?
-779
Let h(c) be the second derivative of 0 - 4/27*c**3 + 4/9*c**2 + 1/54*c**4 - 19*c. Factor h(n).
2*(n - 2)**2/9
Let d = -30905 - -30908. Let f(u) be the second derivative of -9/20*u**5 + 0*u**2 + 0 + 0*u**d - 17*u + 0*u**4 - 1/2*u**6 + 4/7*u**7. Let f(o) = 0. Calculate o.
-3/8, 0, 1
Let h(d) be the first derivative of 21/16*d**2 - 1/8*d**3 - 15/4*d - 9. Let h(l) = 0. What is l?
2, 5
Solve -49513*k**3 - 430*k + 360 + 8*k**2 - 39*k**2 + 205*k**2 + 49515*k**3 - 106*k = 0.
-90, 1, 2
Let x(w) be the second derivative of w**5/140 + 13*w**4/28 + 169*w**3/14 + 16*w**2 - 7*w + 1. Let c(k) be the first derivative of x(k). Factor c(d).
3*(d + 13)**2/7
Let a(d) be the second derivative of -d**6/15 + 21*d**5/190 + 17*d**4/114 - 7*d**3/19 + 2*d**2/19 + 1391*d. Determine s, given that a(s) = 0.
-1, 2/19, 1
Suppose -3*z - 3*v + 184 = -41, 0 = z + 3*v - 85. Factor z*r**4 + 14*r**2 + 13*r**2 + 162*r**4 - 40*r**4 - 144*r**3.
3*r**2*(8*r - 3)**2
Let c(a) = -3*a - 201. Let m be c(-76). Let v be m/42*(-112)/(-96). Factor 1/8*r**3 + v*r**2 + 1 - 15/8*r.
(r - 1)**2*(r + 8)/8
Let x(z) be the third derivative of 6*z**2 - 9*z - 3/32*z**4 - 1/240*z**5 + 0 + 5/12*z**3. Factor x(l).
-(l - 1)*(l + 10)/4
Let y(s) = -38*s**2 - 1121*s - 549. Let j be y(-29). Suppose -1/2*a**j + 0 + 5*a = 0. Calculate a.
0, 10
Let r(f) be the third derivative of f**8/1176 + f**7/147 - f**6/60 - f**5/42 + f**4/14 - 492*f**2. Suppose r(x) = 0. What is x?
-6, -1, 0, 1
Let s be -2*(-507)/3024 - (-6)/(-18). Let h(q) be the third derivative of 0*q**4 + 0*q**7 + 7*q**2 + 0*q**6 + 0*q**3 + s*q**8 + 0*q + 0*q**5 + 0. Factor h(c).
2*c**5/3
Let l(x) be the first derivative of -x**4/12 + 121*x**3/9 + 248*x**2/3 + 500*x/3 + 3962. Suppose l(j) = 0. Calculate j.
-2, 125
Let s(c) = 12*c**2 + 312*c + 6718. Let z(d) = d**2 + 8*d - 1. Let r(a) = -s(a) + 10*z(a). What is b in r(b) = 0?
-58
Let c(x) be the second derivative of -5 - 2*x + 0*x**2 + 1/12*x**4 + 1/6*x**3. What is y in c(y) = 0?
-1, 0
Let y = -320 - 403. Let z be (-4)/24 - y/126 - 5. Suppose 2/7 + z*o**2 - 6/7*o = 0. What is o?
1/2, 1
Let c = -450 - -539. Factor 91*f**4 - 5*f**5 + 15*f**3 + c*f**4 - 190*f**4.
-5*f**3*(f - 1)*(f + 3)
Let c = -2/27821 - -55652/139105. Factor 68/5*o**3 - 4*o**4 - 4 + 74/5*o + c*o**5 - 104/5*o**2.
2*(o - 5)*(o - 2)*(o - 1)**3/5
Let k be ((-81)/324)/(2/(-16)). Let 21/2 - 39/2*f + 3/2*f**3 + 15/2*f**k = 0. Calculate f.
-7, 1
Let d(k) be the third derivative of -k**6/60 - 61*k**5/30 + 95*k**4/6 - 128*k**3/3 - 112*k**2 + 8. What is v in d(v) = 0?
-64, 1, 2
Factor 5/3*k**3 - 155/3*k - 60 + 10*k**2.
5*(k - 4)*(k + 1)*(k + 9)/3
Let v(w) = -w**3 + 32*w**2 + 207*w - 814. Let i be v(37). Factor c + i - 1/4*c**2.
-c*(c - 4)/4
Suppose 0 = -4*j - 4*g + 76, 9*j - 3*g - 55 = 4*j. Factor j*z**3 - 7*z**4 + 6*z**4 - 6*z**3 - 8*z**2 + 2*z**3 - z**4.
-2*z**2*(z - 4)*(z - 1)
Suppose 6711 - 6809 = -49*k. Suppose 3/4*b**k + 51/2*b + 867/4 = 0. What is b?
-17
Let k(w) be the third derivative of -w**5/450 - 341*w**4/180 + 38*w**3/5 - 5*w**2 + 82*w. Factor k(y).
-2*(y - 1)*(y + 342)/15
Let w(b) be the third derivative of b**7/8820 + b**6/1260 + b**5/420 + b**4/12 + 3*b**3/2 + 26*b**2. Let s(m) be the second derivative of w(m). Factor s(l).
2*(l + 1)**2/7
Let j(i) be the third derivative of i**6/60 - i**5/3 - 113*i**4/12 - 34*i**3 + 1426*i**2. Factor j(y).
2*(y - 17)*(y + 1)*(y + 6)
Determine c so that -164/5*c - 1764/5*c**3 + 8/5*c**5 + 1456/5*c**2 - 162/5 + 626/5*c**4 = 0.
-81, -1/4, 1
Let r(m) be the second derivative of m**4/102 - 25*m**3/51 + 154*m**2/17 - 175*m + 1. Factor r(f).
2*(f - 14)*(f - 11)/17
Let w be -1830 - ((-6)/2 + -7 + 4). Let y be 3/(-8) + (-3116)/w. Factor -4/3*x - y*x**2 + 8/3.
-4*(x - 1)*(x + 2)/3
Suppose 28 = -2258*f + 2251*f. Let r be f + (-3)/((-27)/42). Find w, given that 1/3 - r*w - w**2 = 0.
-1, 1/3
Suppose 5*v = 132 - 117. Find s such that -70 + 154 - 2*s - v*s**3 - 6*s**2 + 5*s - 78 = 0.
-2, -1, 1
Factor -1251/2*f**2 - 173889/2*f - 3/2*f**3 - 8056857/2.
-3*(f + 139)**3/2
Determine o so that 12/13*o**2 + 2/13*o - 4/13 + 2/13*o**3 - 4/13*o**4 = 0.
-1, 1/2, 2
Let b(o) = 6*o**2 - 10*o + 42. Let x(m) = 5*m**2 - 8*m + 45. Let d(f) = -6*b(f) + 7*x(f). Let v be d(-6). What is h in 5/3*h**3 + 9*h + 23/3*h**2 + v = 0?
-3, -1, -3/5
Determine w so that -4/3*w**3 - 497005996/3 - 996004*w - 1996*w**2 = 0.
-499
Let p(d) be the third derivative of 1/10*d**5 + 46*d**2 + 0 + 2*d**4 + 0*d + 64/3*d**3 + 1/480*d**6. Solve p(k) = 0 for k.
-8
Let n(c) = -9*c + 12. Let r be n(1). Factor -10*j**2 - 5*j**4 - 9*j**3 + 4*j**3 - 2*j**r - 8*j**3.
-5*j**2*(j + 1)*(j + 2)
Let g = -10403/6 + 1738. Let j(z) be the first derivative of -9*z**2 + 5 + 18/5*z + 10*z**3 - g*z**4. Find q, given that j(q) = 0.
3/5
Let z(n) be the second derivative of 1/36*n**4 - 7 - 10*n + 8/3*n**2 + 17/18*n**3. Suppose z(i) = 0. What is i?
-16, -1
Let u(g) be the third derivative of g**6/180 - 53*g**5/90 - 115*g**4/12 - 59*g**3 + 4*g**2 - g - 1. Factor u(s).
2*(s - 59)*(s + 3)**2/3
Let r(a) = a**2 + 11*a - 98. Suppose -2*l - 4 = 3*o, l - 8 = 3*l + 2*o. Let v(q) = 3*q - 33. Let y(c) = l*v(c) + 3*r(c). Suppose y(h) = 0. What is h?
-5, 2
Let q(g) be the first derivative of 1/60*g**5 + 1 + 0*g**3 - 3/2*g**2 + 0*g - 1/12*g**4. Let k(t) be the second derivative of q(t). Let k(m) = 0. What is m?
0, 2
Let l be 513/228*(-20)/2475*-10. Factor -4/11*z**3 + 2/11*z**2 + 0 + l*z**4 + 0*z.
2*z**2*(z - 1)**2/11
Factor -20*x + 2/15*x**2 + 294/5.
2*(x - 147)*(x - 3)/15
Let a be (35721/(-690))/(-7) + -8. Let t = -12/115 - a. Let -t*b**3 + 1/4*b - 1/4*b**4 - 1/4 + 1/2*b**2 + 1/4*b**5 =