 r(g) = -5*g**5 + 52*g**4 + 15*g**3 - 2*g**2 + 8*g + 8. Let b(h) = 4*h**5 + h**3 - h - 1. Let p(x) = 40*b(x) + 5*r(x). Solve p(l) = 0 for l.
-1, 0, 2/27
Let s(b) be the second derivative of 15/14*b**3 + 3/14*b**5 + 0*b**6 - 5/7*b**4 - 1/98*b**7 + 1 + 27*b - 6/7*b**2. Factor s(a).
-3*(a - 1)**4*(a + 4)/7
Suppose -156*u - 138*u = -305689 + 304513. Factor 3/4*n + 1/4*n**u + 0 + 5/4*n**3 + 7/4*n**2.
n*(n + 1)**2*(n + 3)/4
Solve 0*d + 0*d**2 + 2/5*d**5 + 0*d**3 + 0 + 4/5*d**4 = 0 for d.
-2, 0
Suppose 3*p - 13 = j, 5*j - 26 = -3*p - 55. Factor 5/3*a**4 - 55/3*a - 15*a**p - 20/3 - 5/3*a**3.
5*(a - 4)*(a + 1)**3/3
Let n be ((-8112)/17745)/(1*2/(-15)). Factor n*w - 18*w**3 + 0 - 105*w**4 + 108/7*w**2.
-3*w*(5*w - 2)*(7*w + 2)**2/7
Let m(d) be the second derivative of d**5/140 - 5*d**4/7 + 24*d**3 - 224*d**2 - 65*d + 2. Factor m(v).
(v - 28)**2*(v - 4)/7
Let y(g) be the third derivative of -12*g**2 - 2/13*g**3 - 7/156*g**4 + 0 + 2*g - 1/390*g**5. Factor y(t).
-2*(t + 1)*(t + 6)/13
Factor -28/5*c**4 - 48/5*c**2 + 0 + 4/5*c**5 + 64/5*c**3 + 0*c.
4*c**2*(c - 3)*(c - 2)**2/5
Suppose 259*p - 503*p = -298*p + 270. Let j(y) be the first derivative of -28 + 3/14*y**4 + 0*y**2 + 0*y**p - 1/21*y**6 + 4/21*y**3 + 0*y. Factor j(o).
-2*o**2*(o - 2)*(o + 1)**2/7
Factor -519/2*j + 0 - 3/2*j**2.
-3*j*(j + 173)/2
Suppose -11*n + 8 = 52. Let p be (-41 + 43)/((-10)/n). Determine a, given that 2/15*a**4 - 8/15*a**3 + 2/15 - 8/15*a + p*a**2 = 0.
1
Let k(v) be the first derivative of v**3/9 - 3*v**2 + 65*v/3 - 1142. Factor k(c).
(c - 13)*(c - 5)/3
Let f(h) be the first derivative of -h**7/1680 - h**6/480 + h**5/480 + h**4/96 - 65*h**2/2 - 106. Let l(m) be the second derivative of f(m). Factor l(c).
-c*(c - 1)*(c + 1)*(c + 2)/8
Let m = 51072 - 51070. Factor 20*q - 50/3 + 5/6*q**3 - 15/2*q**m.
5*(q - 5)*(q - 2)**2/6
Let j be 6/(-190)*(24/2)/(-4). Let a = j + 163/285. Let -2/3*v**2 - a*v + 2/3*v**3 + 2/3 = 0. Calculate v.
-1, 1
Determine u so that 45/4*u**2 + 1375/2 - 745/4*u = 0.
50/9, 11
Let b(x) be the second derivative of 1/6*x**3 + 0 + 3/2*x**2 - 272*x - 7/48*x**4 + 1/80*x**5. Solve b(k) = 0 for k.
-1, 2, 6
Let y(j) be the second derivative of -1/20*j**5 + 5/6*j**3 - 7/12*j**4 - 2 + 75/2*j**2 - 13*j. Factor y(h).
-(h - 3)*(h + 5)**2
Find h such that 74710 - 49*h**2 - 2412*h + 51*h**2 + 599118 + 53390 = 0.
603
Suppose -105 = -134*d + 99*d. What is h in 8*h**2 - 2*h**4 + 4/3*h**d + 0 - 2/3*h**5 + 16/3*h = 0?
-2, -1, 0, 2
Factor 3024729*n - 4*n**4 - 571967*n**2 - 7590779 + 835767*n + 248064*n + 2584*n**3 + 141931*n**2 - 2521621.
-4*(n - 318)**2*(n - 5)**2
Let a(q) be the second derivative of q**5/15 - 2*q**4/3 + 8*q**3/3 + 85*q**2/2 - 63*q. Let v(h) be the first derivative of a(h). Factor v(o).
4*(o - 2)**2
Let q(h) be the first derivative of -16*h**5/15 - 29*h**4/6 + 88*h**3/3 + 33*h**2 - 36*h + 2169. Find x, given that q(x) = 0.
-6, -1, 3/8, 3
Suppose -48*h - 4*f = -60*h + 68, -4*h = -2*f - 26. Let z(q) be the second derivative of 0*q**2 + 1/18*q**3 + 1/72*q**h + 0 - q. Factor z(j).
j*(j + 2)/6
Let h be (6 + 1)*8/84*-9. Let b(k) = -4*k**3 - 6*k**2 - 5*k + 2. Let n(w) = 5*w**3 + 7*w**2 + 5*w - 3. Let l(x) = h*b(x) - 5*n(x). Factor l(t).
-(t - 3)*(t + 1)**2
Let p(j) = -6*j - 3*j - 362 + 33*j - 11*j. Let x be p(28). Solve 10 - 5/2*n**3 + 0*n - 15/2*n**x = 0.
-2, 1
Suppose 6*h - 128 = -170. Let i be 5 - ((-4)/h)/((-42)/(-147)). Factor 0 + 0*z**2 + 0*z + 0*z**i + 1/2*z**4.
z**4/2
Let p = -143/12 + 49/4. Let z = 134/195 - 4/195. Determine y, given that -y**2 + 1/3 + p*y + z*y**4 - 1/3*y**3 = 0.
-1, -1/2, 1
Factor 41*s**3 + 7*s**3 - 57*s**4 + 39*s**4 - 1105*s**5 + 1102*s**5.
-3*s**3*(s - 2)*(s + 8)
Let u be -5 + (-11)/11 + (-2600)/(-364). Suppose -36/7*h**2 + 0 - u*h - 4*h**3 = 0. What is h?
-1, -2/7, 0
Let c be -2 - (5 + -7)*2. Factor 45*o**3 - 38*o**c + 2*o**4 + 296*o**2 - 138*o**2 + 3*o**4 + 100*o.
5*o*(o + 2)**2*(o + 5)
Let x(d) be the third derivative of d**7/315 - d**6/1800 + 57*d**4/8 + 42*d**2 - 1. Let q(k) be the second derivative of x(k). What is u in q(u) = 0?
0, 1/20
Suppose -14*r + 16*r = -2*w, 8*r - 4*w = 0. Let m(i) be the third derivative of -13*i**2 + 3/2*i**4 + 0 + r*i - 18*i**3 - 1/20*i**5. Factor m(p).
-3*(p - 6)**2
Let d be -24*3/(-108) + 14/6. Let h(y) be the second derivative of -55/36*y**4 + 175/18*y**d - 125/6*y**2 - 13*y + 1/12*y**5 + 0. Factor h(p).
5*(p - 5)**2*(p - 1)/3
Solve -206*i**4 + 4788*i**3 + 208*i**4 - 5412*i - 759*i**4 - 4840 - 255*i**4 + 48*i**5 + 6428*i**2 = 0 for i.
-5/4, -2/3, 1, 11
Let x(i) be the second derivative of i**6/210 + 27*i**5/10 + 36097*i**4/84 + 1692*i**3 + 17672*i**2/7 + 2*i + 111. Find f such that x(f) = 0.
-188, -1
Factor 59/2*k + 1/4*k**2 + 117/4.
(k + 1)*(k + 117)/4
What is d in -12/13 + 2206/13*d - 734/13*d**2 = 0?
2/367, 3
Let f be (-5)/(-75) + ((-4)/24 - 14/(-28)). Let t = 1 - 1. Factor -6/5*p**2 + 4/5*p + f*p**3 + t.
2*p*(p - 2)*(p - 1)/5
Suppose -38 + 44 = 6*v. Solve 3*q - 3*q**3 + 25*q + 12*q**2 - 1 + v - 13*q = 0 for q.
-1, 0, 5
Suppose 5*n = 26 + 14. Suppose -j = -4*j, n = 2*h - 4*j. Factor 8*d**2 - 8*d**2 + d**3 + d**h.
d**3*(d + 1)
Let d(q) be the first derivative of -2*q**5/45 + 2*q**4/3 + 10*q**3/3 - 8931. Factor d(h).
-2*h**2*(h - 15)*(h + 3)/9
Let v = -151137 - -151140. Factor 45/2 + 1/10*c**2 - v*c.
(c - 15)**2/10
Let l(p) be the third derivative of -5/2*p**5 + 0*p + 89/175*p**7 - 501/200*p**6 + 129/10*p**4 + 36/5*p**3 + 0 + 259*p**2 - 3/112*p**8. What is y in l(y) = 0?
-1, -2/15, 1, 6
Factor -343*h**3 - 358*h**3 - h + 1072*h**3 - 12*h**2 - 358*h**3.
h*(h - 1)*(13*h + 1)
Let d = 17255 + -17250. Let u(g) be the second derivative of -5/8*g**4 - 1/40*g**d - 9/4*g**3 + 0 - 13/4*g**2 + 34*g. Let u(x) = 0. Calculate x.
-13, -1
Let g(q) be the first derivative of q**5/35 + q**4/21 - 20*q**3/21 + 16*q**2/7 + 9*q + 80. Let k(y) be the first derivative of g(y). What is o in k(o) = 0?
-4, 1, 2
Suppose -4/5*u**2 + 712/5*u + 2172/5 = 0. Calculate u.
-3, 181
Let c(n) = 3*n + 4. Let u be c(0). What is m in -253*m**5 + 251*m**5 + 3*m**4 - 4*m**4 - 7*m**u - 8*m**3 = 0?
-2, 0
Let t(d) = -7*d**4 + 28*d**3 - 21*d**2 - 96*d - 88. Let l(n) = 6*n**4 - 25*n**3 + 21*n**2 + 97*n + 87. Let i(b) = -8*l(b) - 7*t(b). Factor i(s).
(s - 5)*(s + 1)*(s + 4)**2
Let d(h) = -8*h + 186. Let q be d(23). Let s = 1088/5 - 216. Find k, given that -16/5 - 1/5*k**q - s*k = 0.
-4
Let a(n) be the first derivative of 4608*n**6 + 44928*n**5 + 6948*n**4 + 1154*n**3/3 + 8*n**2 - 1860. Factor a(j).
2*j*(j + 8)*(24*j + 1)**3
Suppose 5*j = -20, -39*m + 36*m - 4 = 4*j. Let l(n) be the first derivative of 0*n**3 + 1/10*n**m - 24 + 0*n - 1/5*n**2. Factor l(p).
2*p*(p - 1)*(p + 1)/5
Let n(j) = 10*j**3 - j**2. Let l be (2/(-2))/(5 - 6). Let c be n(l). Factor 6 - 4*q - c*q**2 - 3*q**3 + 11*q + 3*q**4 - 4*q.
3*(q - 2)*(q - 1)*(q + 1)**2
Let r(v) = -56*v**2 - 170*v - 17. Let c(p) = 18*p**2 + 57*p + 6. Let l(f) = -11*c(f) - 4*r(f). Suppose l(g) = 0. What is g?
-2, -1/26
Suppose -52/3*f**3 + 128/3 + 128/3*f - 88/3*f**2 - 4/3*f**5 + 32/3*f**4 = 0. What is f?
-1, 2, 4
Let p(c) be the third derivative of 0*c - 5/12*c**4 + 0 + 4/105*c**7 - 1/15*c**5 + 1/15*c**6 + 30*c**2 - 2/3*c**3 + 1/168*c**8. Solve p(q) = 0 for q.
-2, -1, 1
Determine z, given that 13/5*z**3 + 1/5*z**5 - 96/5*z**2 + 2*z**4 - 36*z + 0 = 0.
-6, -5, -2, 0, 3
Let c(m) = -m**3 + m**2 + 3*m - 1. Let k = -205 - -207. Let h(f) = -12*f**3 + 12*f**2 + 39*f - 12. Let x(a) = k*h(a) - 27*c(a). Factor x(v).
3*(v - 1)**2*(v + 1)
Let w be (-34744)/(-12120) + 2/15. Find g such that -16/9*g**3 + 28/9 - w*g**2 - 1/9*g**4 + 16/9*g = 0.
-14, -2, -1, 1
Let v(h) = -3*h - 5. Let f be v(-1). Let t be (f + -2)*15/(-30). Determine z, given that -3*z - z**3 - z - 8*z**2 + 13*z**t - 2*z = 0.
0, 2, 3
Let v(a) = a**3 + 11*a**2 - 3*a - 10. Let j be v(-11). What is i in j*i**2 + 15*i + 22*i**2 - 54*i - 70*i**2 + 22*i**2 + 42 = 0?
-14, 1
Let k(l) be the first derivative of 6 + 27*l + 1/6*l**4 + 0*l**3 + 1/30*l**5 - 4/3*l**2. Let m(f) be the first derivative of k(f). Factor m(y).
2*(y - 1)*(y + 2)**2/3
Let z(p) = p**2 + p + 9. Let d(i) = 5*i**2 + 46*i - 90. Let v(b) = d(b) - 6*z(b). Factor v(w).
-(w - 36)*(w - 4)
Let v be ((1 - -5)/(-24))/(2/(-24)). Let x(l) = 8*l**2 - 19*l + 27. Let r(w) = 22*w**2 - 56*w + 80. Let o(s) = v*r(s) - 8*