**3 + 1/2700*a**6 + 7/900*a**5. Let j(g) be the first derivative of m(g). Factor j(k).
2*(k - 1)*(k + 8)/15
Let z(f) = -f**2 - 16*f - 12. Let s be z(-14). Let l be (2/4)/(s/64). Factor -9 + l*h**2 + h**2 + 4 + 32 - 18*h.
3*(h - 3)**2
Let v(x) = x**2 + 3*x + 2. Let t be v(-2). Let w be (4 - 8/(24/27)) + 13. Determine i so that 2*i**3 - w*i + 147 + t*i - 139 - 2*i**2 = 0.
-2, 1, 2
Let v(a) = -2*a**2 - 93*a + 2434. Let s(i) = -2*i**2 - 88*i + 2428. Let c(f) = -7*s(f) + 6*v(f). What is z in c(z) = 0?
-52, 23
Let q = -22786 + 22790. Let f(y) be the third derivative of -1/48*y**5 - 1/480*y**6 - 39*y**2 - 1/32*y**q + 3/8*y**3 + 0 + 0*y. Solve f(a) = 0.
-3, 1
Let g be 5 + 0*(15/20 + -1). Let q be ((-16)/8)/(g/(-8)) + -3. Factor 0*i - 1/5*i**2 + 0 + q*i**3.
i**2*(i - 1)/5
Let z(y) be the first derivative of -14 + 1/50*y**5 + 0*y**3 - 10*y + 0*y**2 + 1/30*y**4. Let s(o) be the first derivative of z(o). Factor s(b).
2*b**2*(b + 1)/5
Let k = 349 - 340. Suppose -88*f + k*f**2 + 112*f + 9*f**2 + 10*f**2 - 4*f**4 = 0. What is f?
-2, -1, 0, 3
Suppose 115 = 5*t + 10. Let l be (-7)/((-588)/8) - (-40)/t. Suppose 3/4*z + 0 - 3/8*z**l = 0. What is z?
0, 2
Let t(l) = -l**2 + 208*l + 1284. Let k(n) = 2*n**2 - 417*n - 2574. Let v(p) = 2*k(p) + 5*t(p). Find c, given that v(c) = 0.
-6, 212
Let w(j) be the first derivative of 5*j**3/3 - 5185*j**2/8 - 975*j + 3648. Factor w(q).
5*(q - 260)*(4*q + 3)/4
Factor 106/3*k - 13/3*k**2 - 1/3*k**3 - 152/3.
-(k - 4)*(k - 2)*(k + 19)/3
Let c(o) be the first derivative of -o**3/24 - 25*o**2/8 + 51*o/8 + 1125. Let c(a) = 0. What is a?
-51, 1
Let s = 88 + -86. Factor -52*v - 15*v**3 - 45 - 27 - 208*v**s - 206*v + 7*v**2.
-3*(v + 1)*(v + 12)*(5*v + 2)
Factor -66*q - 136 - 25*q**2 + 11*q**2 + 10*q**2 + 0*q**2 + 5*q**2.
(q - 68)*(q + 2)
Let o(s) = s**3 - 8*s**2 + 3*s + 49. Let n be o(6). Let m be (-2)/44*n + 408/1496. Let 0*k + m*k**4 - 1/2*k**3 + 1/2*k**5 + 0 - 1/2*k**2 = 0. What is k?
-1, 0, 1
Factor 78*g - 35*g**3 + 16*g**4 + 15*g**2 - 21*g**4 + 30*g + 70 + 7*g.
-5*(g - 2)*(g + 1)**2*(g + 7)
Suppose -4*x + 2*k + 8 = 0, -4*x + 12 = k - 2*k. Solve 75*b**3 + 220*b + 85*b**2 - 193*b**2 - 5*b**x - 132*b**2 = 0 for b.
0, 2, 11
Let n(t) be the third derivative of t**6/480 + 13*t**5/24 + 1491*t**4/32 + 1323*t**3/2 + 1603*t**2. Factor n(z).
(z + 4)*(z + 63)**2/4
Let t = 15 - 12. Let z be ((-42)/35)/((-297)/330). Factor 2/3 - 5/3*r + z*r**2 - 1/3*r**t.
-(r - 2)*(r - 1)**2/3
Suppose -105/4*x - 27 + 3/4*x**2 = 0. What is x?
-1, 36
Let 0 - 2/9*t**5 + 0*t**3 + 28/9*t**4 - 1372/9*t**2 + 4802/9*t = 0. Calculate t.
-7, 0, 7
Solve -132/13*d + 2/13*d**2 + 10 = 0.
1, 65
Let p be (4/5)/(4/10). Let j = 12093 + -12057. Factor -24*o**p + 8*o**2 + j*o + 13*o**2 + 39.
-3*(o - 13)*(o + 1)
Let r(z) be the first derivative of 1/3*z**3 - 9 + 0*z + 0*z**2. Let g(n) = -20*n**2 - 50*n + 40. Let v(l) = g(l) + 5*r(l). Factor v(x).
-5*(x + 4)*(3*x - 2)
Let r(s) be the third derivative of -25*s**8/336 + s**7/7 + 11*s**6/20 - 2*s**5/3 - 11*s**4/8 + 3*s**3 - 11*s**2 - 107. Determine i so that r(i) = 0.
-1, 3/5, 2
Factor -138/7*d**2 - 134/7 + 270/7*d + 2/7*d**3.
2*(d - 67)*(d - 1)**2/7
Let m = 92205/4 + -23051. Let t(f) be the first derivative of -m*f**2 + 5/8*f - 11 - 1/24*f**3. Factor t(x).
-(x - 1)*(x + 5)/8
Let d(m) = 6*m**2 - 24. Let g(f) be the third derivative of -f**2 - 8/3*f**3 + 1/15*f**5 + 0 + 0*f**4 + 0*f. Let i(j) = -5*d(j) + 8*g(j). Factor i(r).
2*(r - 2)*(r + 2)
Let n be 112/(-32) + 3/(-2). Let s be -8 - (6 + n) - -153. Factor -288 - 4/3*h**3 - s*h - 24*h**2.
-4*(h + 6)**3/3
Factor 42*c**2 + 2/5*c**3 + 0*c + 0.
2*c**2*(c + 105)/5
Let i(m) be the second derivative of -4*m**6/135 - 7*m**5/36 - m**4/3 - m**3/6 + 406*m. Factor i(n).
-n*(n + 1)*(n + 3)*(8*n + 3)/9
Let q(v) be the first derivative of -5/12*v**4 + 5/3*v**3 + 23 + 0*v**2 - 1/24*v**5 + 1/72*v**6 + 0*v. Let p(a) be the third derivative of q(a). Factor p(z).
5*(z - 2)*(z + 1)
Let 0 - 88*h - 24*h**2 - 1/2*h**3 = 0. Calculate h.
-44, -4, 0
Let a(w) be the second derivative of 10/3*w**2 - 36*w + 0 - 1/45*w**6 + 23/9*w**3 + 1/30*w**5 + 5/6*w**4. Solve a(y) = 0 for y.
-2, -1, 5
Let u = -69 - -66. Let w be (48/(-6) - u)*(-6)/(-5). Let f(n) = -5*n**2 - 6*n + 5. Let a(x) = -11*x**2 - 12*x + 10. Let p(m) = w*a(m) + 13*f(m). Factor p(s).
(s - 5)*(s - 1)
Solve 72*k + 1258*k**2 - 30*k**3 + 1267*k**2 + 3*k**4 - 2486*k**2 = 0 for k.
-1, 0, 3, 8
Let a(c) = 5*c**2 + 573*c. Let q(h) = 4*h**2 + 572*h. Let g(x) = -8*a(x) + 9*q(x). Factor g(p).
-4*p*(p - 141)
Let c(u) = -u**2 - 9*u - 5. Let n be -11 + 4/(16/12) + 0. Let k be c(n). Factor -138*w + 2*w**2 + 45 + k*w**2 + 168*w.
5*(w + 3)**2
Let c = -1056106 - -1056109. Determine n, given that 18*n**2 - 200/11 - 40/11*n + 2/11*n**4 + 40/11*n**c = 0.
-10, -1, 1
Factor -667/2*m**2 - 1/4*m**3 - 2665/4*m - 333.
-(m + 1)**2*(m + 1332)/4
Let p(i) be the third derivative of 0*i**4 - 119*i**2 + 0 + 0*i**5 + 0*i**6 - 5/2688*i**8 + 0*i**3 - 1/840*i**7 + 0*i. Let p(d) = 0. What is d?
-2/5, 0
Find o, given that -12 - 15/2*o - 3/4*o**2 = 0.
-8, -2
Let j(a) be the first derivative of 0*a**2 + 0*a + 48 - 6/5*a**3 - 1/10*a**4. Factor j(k).
-2*k**2*(k + 9)/5
Let l(u) be the third derivative of u**7/70 - u**6/40 - u**5/2 - u**4 + 4688*u**2. Determine c so that l(c) = 0.
-2, -1, 0, 4
Let g(h) be the third derivative of -h**6/24 - 247*h**5/6 - 305045*h**4/24 + 5857*h**2. Factor g(q).
-5*q*(q + 247)**2
Let -164/5*z**2 - 28/5*z**4 + 14*z + 2/5*z**5 + 0 + 24*z**3 = 0. What is z?
0, 1, 5, 7
Let u(w) be the first derivative of -9*w**4/2 + 152*w**3/3 - 69*w**2 - 308*w + 2532. Let u(q) = 0. What is q?
-1, 22/9, 7
Let v be (-1412 - -1390) + 3*8. Factor -10*i + 1/5*i**v + 125.
(i - 25)**2/5
Let i be -1148*(-13)/(-78)*24/(-42). Factor -16/3*v**4 - i*v**3 - 820/3*v - 587*v**2 - 100/3.
-(v + 10)**2*(4*v + 1)**2/3
Let g be (36/(-42))/(15/(-105)) - (-11)/(-2). Factor -3/2*u + g*u**2 - 9.
(u - 6)*(u + 3)/2
Let m = -940 - -927. Let f be (-4)/9 - ((-1668)/108 - m). What is y in -1/4*y**f + 1/2 - 1/4*y = 0?
-2, 1
Let w be (-2 + -6)/(-1 + -1). Suppose 12 = -n + w*n. Factor 0*d**n - 30*d**3 - 62*d**2 - 134*d - 28*d - 81 - 3*d**4 - 46*d**2.
-3*(d + 1)*(d + 3)**3
Suppose 13 = -3*o + 10. Let w be 3 + ((-195)/(-78))/(o/1). Factor -w*n + 1/2*n**2 + 0.
n*(n - 1)/2
Let z(r) be the second derivative of -2*r**6/75 + 18*r**5/25 + 19*r**4/15 + 47*r. Factor z(w).
-4*w**2*(w - 19)*(w + 1)/5
Let k(s) be the second derivative of -22/45*s**6 + 107*s + 2*s**5 - 29/9*s**4 + 1/63*s**7 + 19/9*s**3 + 0*s**2 + 0. Determine a so that k(a) = 0.
0, 1, 19
Let g(h) be the second derivative of -11*h**3/6 - 55*h**2/2 + 4*h + 14. Let s be g(-5). Factor s + 1/2*r**3 + 5/2*r**2 + 3*r.
r*(r + 2)*(r + 3)/2
Factor 3*z - 176/9 - 1/9*z**2.
-(z - 16)*(z - 11)/9
Suppose -29*p = -2*f - 33*p - 10, -f = p. What is q in -13*q**f + 18*q**5 - 110*q**4 - 127 - 560*q**2 + 390*q**3 + 37 + 365*q = 0?
1, 18
Let x(q) = -12*q**2 - 48*q + 378. Let h(y) = y**2 - 2*y + 3. Let l(c) = 9*h(c) + x(c). Factor l(o).
-3*(o - 5)*(o + 27)
Determine b, given that -196*b + 232/9*b**3 + 4*b**4 - 56/3*b**2 - 4/9*b**5 - 156 = 0.
-3, -1, 3, 13
Suppose 1149 + 1710*g**2 - 924*g + 226*g**2 + 967 - 3925*g + 801*g = 0. What is g?
23/22
Solve 584/7*u - 2/7*u**4 - 46 - 204/7*u**2 - 8*u**3 = 0 for u.
-23, -7, 1
Let o(l) be the second derivative of l**6/60 - 137*l**5/20 + 18493*l**4/24 + 3151*l**3 + 4761*l**2 + 1248*l. Factor o(g).
(g - 138)**2*(g + 1)**2/2
Let t be -2*(18/(-4) - -3). Let n be 15/(-20)*12/(-3). What is x in -5*x**t - x + n*x**2 + 4*x**2 - x = 0?
0, 2/5, 1
Let y(x) be the first derivative of x**4/18 + 74*x**3/27 + 415*x**2/9 + 850*x/3 - 3223. Factor y(b).
2*(b + 5)*(b + 15)*(b + 17)/9
Suppose -16*r = 12 - 732. Factor r + 1/5*m**2 - 6*m.
(m - 15)**2/5
Factor -2 - 168*q**2 + 269*q + 170*q + 27*q**2 - 78*q**2.
-(q - 2)*(219*q - 1)
Let j(s) be the first derivative of s**4/90 - 8*s**3/45 - 4*s**2/3 - 64*s + 29. Let k(w) be the first derivative of j(w). Factor k(g).
2*(g - 10)*(g + 2)/15
Let c = 102 - 42. Let w = c - 54. Find i, given that 5*i**3 + 3*i**5 - i**4 + w*i**2 + i**3 + 3 + 40*i - 8*i**4 - 49*i = 0.
-1, 1
Suppose -2*c = 0, 88 = -l + 5*c - 137. Let m be 2/2 + 135/l. Factor i - 1/5*i**3 + 6/5 - m*i**2.
-(i - 2)*(i + 1)*(i + 3)/5
Suppose -49/2 - 53*l**2 - 5*l**3 + 11/2*l