e the first derivative of y(s). Factor i(z).
-z*(z - 2)*(z + 14)/3
Let g(a) = a**3 - 60*a**2 + 36*a + 1361. Let n be g(59). Factor -32/7*j**n - 36/7*j**2 - 2/7*j**5 - 432/7 + 648/7*j - 146/7*j**3.
-2*(j - 1)**2*(j + 6)**3/7
Let y(q) be the third derivative of 16*q**2 - 6*q**4 + 7/24*q**8 + 1/2*q**7 + 0*q + 0 - 8/3*q**3 - 104/15*q**5 - 89/30*q**6. Suppose y(v) = 0. What is v?
-2, -1/2, -2/7, 2
Let v = -4273 + 4276. Let r(i) be the third derivative of -6*i**2 + 0*i + 0 + 1/105*i**7 + 0*i**v + 0*i**6 - 1/30*i**5 + 0*i**4. Suppose r(b) = 0. Calculate b.
-1, 0, 1
Let l(n) be the second derivative of n**6/10 + 69*n**5/10 + 429*n**4/4 - 1150*n**3 + 3750*n**2 + 1495*n. Factor l(z).
3*(z - 2)**2*(z + 25)**2
Let u be (-16)/20 + (-57)/(-15) + 3. Factor -u*l + 2*l**4 + 2*l**4 + 4*l - l**4 - 7*l**2 - 2*l**3.
l*(l - 2)*(l + 1)*(3*l + 1)
Let t(a) = -5*a**2 + 115*a + 395. Let g be t(-3). Suppose 16*x**3 + 8/3*x**2 + 0*x + 0 - 14*x**g + 58/3*x**4 = 0. What is x?
-1/3, -2/7, 0, 2
Suppose 22 + 6915*k**2 + 11 + 18 - 1621*k + 59 - 2915*k**3 - 2164*k - 325*k**4 = 0. What is k?
-11, 2/65, 1
Let d(w) be the first derivative of -w**4/6 + 4*w**3/3 + 12*w**2 - 9*w + 36. Let z(n) be the first derivative of d(n). Let z(j) = 0. Calculate j.
-2, 6
Suppose 1084 = 131*o + 587*o - 176*o. Suppose 3/2*c - 1/4*c**o + 7/4 = 0. What is c?
-1, 7
Let i(y) be the third derivative of -4/15*y**5 + 0 - 1/2*y**4 + 12*y**3 - 11*y**2 - 3*y + 1/30*y**6. Determine a, given that i(a) = 0.
-2, 3
Let w(n) be the second derivative of -n**3 + 20/3*n**2 - 10*n + 1 + 1/18*n**4. Find s such that w(s) = 0.
4, 5
Let p(c) = -2*c**2 + 213*c + 109. Let n be p(107). Let x(s) be the second derivative of 7/3*s**3 + 0 + 15*s + 1/6*s**4 - 8*s**n. Factor x(y).
2*(y - 1)*(y + 8)
Let c be (-14)/(-49)*(-12 + 13). Let v(u) be the third derivative of 9/56*u**4 + 0*u + 4*u**2 - 3/70*u**5 + 1/280*u**6 + 0 - c*u**3. Solve v(l) = 0 for l.
1, 4
Let l(r) = 34*r - 478. Let x be l(-14). Let z = x + 10496/11. Suppose -2/11*j + 0*j**2 + z*j**3 + 0 = 0. Calculate j.
-1, 0, 1
Suppose 0 = 37*x - 23 - 14. Let w be (7 + -6)/(1 + x). Factor -1/2 + w*h**2 - 1/4*h + 1/4*h**3.
(h - 1)*(h + 1)*(h + 2)/4
Let c be (-45)/216*(-38)/95. Let a(j) be the second derivative of 3*j**2 + 7/6*j**3 + 0 - 50*j + c*j**4. Let a(z) = 0. Calculate z.
-6, -1
Suppose -79*m - 4*m**2 - 52*m - 82*m - m**2 + 4*m**2 - 422 = 0. What is m?
-211, -2
Let p = 3 + -7/3. Let z(b) = -b**3 + 41*b**2 + 166*b - 10640. Let v be z(38). Factor 0 - 2/3*i**2 + v*i + 2/3*i**5 + 2/3*i**4 - p*i**3.
2*i**2*(i - 1)*(i + 1)**2/3
Let w(x) be the third derivative of x**7/6300 + x**6/1800 - x**5/25 + 37*x**4/24 + 161*x**2. Let d(h) be the second derivative of w(h). Factor d(t).
2*(t - 3)*(t + 4)/5
Suppose -5*v - 15 + 85 = 0. Suppose 2 = 4*c - v. Factor -84*z**2 + 0*z - 76*z - c*z**4 - 36*z**3 + 0*z**2 - 24.
-4*(z + 1)**3*(z + 6)
Let n be (-6)/(-15) - (345/(-75) + 5). Let y(k) be the third derivative of 0*k - 28/15*k**4 - 22*k**2 + 49/150*k**5 + 64/15*k**3 + n. Factor y(h).
2*(7*h - 8)**2/5
Suppose 0 = 654*n - 1310*n + 603*n + 106. Suppose 1/2*d**n + 4*d + 8 = 0. What is d?
-4
Let u be (4/7)/(218/4578). Factor -3*c**3 - u*c**2 - 9/4 - 39/4*c.
-3*(c + 3)*(2*c + 1)**2/4
Let n be 4 - (18 - (-312)/(-22)). Factor -2*b - 14/11*b**2 - n*b**3 - 10/11.
-2*(b + 1)**2*(b + 5)/11
Let t(a) be the third derivative of a**6/24 - 65*a**5/2 + 485*a**4/3 + 2278*a**2. Factor t(d).
5*d*(d - 388)*(d - 2)
Let x = 2/489 + 8780/5379. Let h = 506285 + -5569131/11. Factor -x*f + 4/11*f**2 + 18/11*f**3 - h.
2*(f - 1)*(f + 1)*(9*f + 2)/11
Let s(j) = j**3 + 55*j**2 - 17049*j + 2740. Let d be s(-161). Let 16/7*h**d + 2/7*h**4 + 0 + 24/7*h + 38/7*h**2 = 0. Calculate h.
-4, -3, -1, 0
Suppose -929 + 10*p**2 + 1869 - 5*p**3 - 940 = 0. What is p?
0, 2
Let i be 20 - 12/(-4) - -4. Let t = -25 + i. Suppose 0 - 2/11*q**t - 4/11*q = 0. What is q?
-2, 0
Let s(g) be the first derivative of -24*g**2 - 76/5*g**5 + 24*g**4 - 16*g - 8*g**6 + 92/3*g**3 - 63. What is u in s(u) = 0?
-2, -1, -1/4, 2/3, 1
Suppose 4*m = -5*b + 40, -5*b + 3*m = -2*b - 51. Let s be (-24)/(-42)*(b/16)/3. Let 2/7*d + s*d**2 + 1/7 = 0. What is d?
-1
Let h(l) = 5*l**2 - 4009*l - 4060225. Let u(i) = -2*i**2 - 7*i. Let b(t) = 2*h(t) + 6*u(t). Find n, given that b(n) = 0.
-2015
Let y(x) be the first derivative of -x**7/2100 - x**6/300 - x**5/150 - 17*x**3/3 + x**2/2 - 91. Let o(c) be the third derivative of y(c). Solve o(l) = 0.
-2, -1, 0
Factor 33*w**3 + 46*w**3 - 20*w**3 - 80*w**2 - 25*w**3 + 40*w**3 - 142*w + 12.
2*(w - 2)*(w + 1)*(37*w - 3)
Let z = 68 - 66. What is a in -100*a**5 + 13*a**2 + 100*a**3 - 2*a**2 - 5*a**z + 2*a**2 - 8*a**4 = 0?
-1, -2/25, 0, 1
Suppose -388*z = -606*z. Factor u**4 - 4*u**2 - 3/2*u**3 - 3/2*u + z.
u*(u - 3)*(u + 1)*(2*u + 1)/2
Factor -5*m**4 - 656 + 1431*m**2 - 1085*m - 1416*m**2 + 365*m**3 - 74.
-5*(m - 73)*(m - 2)*(m + 1)**2
Let t = 172833 + -1901099/11. Factor 2/11*d**3 + 64/11*d - t - 20/11*d**2.
2*(d - 4)**2*(d - 2)/11
Factor -98*t + 14370*t**3 - 21*t**2 - 14365*t**3 - 297*t - 369*t**2.
5*t*(t - 79)*(t + 1)
Let o be (-381)/12 + 3 + 35. Factor -39/4*y**2 - 35/4*y**3 + o*y**4 + 19/4*y - 1/2.
(y - 2)*(y + 1)*(5*y - 1)**2/4
Suppose -824*i + 1756 = 214*i - 160*i. Solve 19/3*q**3 + 61*q - 6 - 116/3*q**i = 0.
2/19, 3
Let y(f) = f**3 - 14*f**2 + 90*f - 1256. Let r be y(14). Let h be 8/20 + -2 + 2. Find q, given that 0*q**2 + 4/5*q - 4/5*q**3 + 2/5 - h*q**r = 0.
-1, 1
Suppose 5*v + 48 = f, 3*v + 0*v = f - 30. Let z be 4/3 + 3/v + 8. Factor 11 + 8 - 1 + 200*a**2 + 129*a - z*a.
2*(10*a + 3)**2
Suppose 3*y - 5*f = -11, 0 = f - 142 + 138. Let c(t) be the third derivative of 0 + 1/20*t**5 + 0*t**y + 0*t + 9*t**2 + 1/2*t**4. Let c(z) = 0. What is z?
-4, 0
Let f(c) be the second derivative of -3*c**5/20 + 5*c**4/4 + 25*c**3 + 1155*c. Let f(w) = 0. What is w?
-5, 0, 10
Let i be ((-265788)/644)/(-107)*28/30. Factor -2/5*t**5 - 4/5*t + 0 - i*t**3 - 14/5*t**2 - 2*t**4.
-2*t*(t + 1)**3*(t + 2)/5
Let v = 1104 + -1094. Suppose 105 = -v*h + 165. Factor 15/2*u**2 + 12*u + h + 3/2*u**3.
3*(u + 1)*(u + 2)**2/2
Let a be -13 + 208/(-1768) + (-1886)/(-136). Factor 3/4*j**2 + a*j - 9/2.
3*(j - 2)*(j + 3)/4
Let s(l) be the third derivative of -1/80*l**5 - 7 - l**2 - 3/16*l**4 + 0*l - 5/8*l**3. Factor s(y).
-3*(y + 1)*(y + 5)/4
Let g(w) = 24*w**3 + 40*w**2 + 30*w. Suppose 182 = -7*o - 6*o. Let d(z) = 5*z**3 + 8*z**2 + 6*z. Let s(q) = o*d(q) + 3*g(q). Factor s(j).
2*j*(j + 1)*(j + 3)
Let i(c) be the first derivative of 6859*c**6/12 + 4693*c**5/5 - 893*c**4/8 - 1286*c**3/3 + 196*c**2 - 32*c - 4302. Factor i(d).
(d + 1)**2*(19*d - 4)**3/2
Let a = -13418/63 + 1922/9. Let m(x) be the first derivative of 11/7*x**2 + 9 - a*x - 6/7*x**3. Let m(h) = 0. Calculate h.
2/9, 1
Let j(o) be the second derivative of -o**6/150 - o**5/10 + 2*o**4/5 + 18*o + 22. Factor j(u).
-u**2*(u - 2)*(u + 12)/5
Let x be 2/9 + (-142)/(-9). Determine i so that 22*i + 25*i**2 + 10*i - 38*i + x*i = 0.
-2/5, 0
Let g be (1 - 400 - 5)/(-9 + 11). Let s = g + 209. Determine l, given that -s*l + 1/4*l**2 + 49 = 0.
14
Factor 70*f**4 - 1030 + 58 + 122*f - 471*f**2 - 1526*f - 71*f**4 - 20*f**3 - 20*f**3.
-(f + 1)*(f + 3)*(f + 18)**2
Let d(o) be the third derivative of -o**8/840 + o**7/105 - o**6/36 + o**5/30 - 4*o**3 + 21*o**2. Let n(s) be the first derivative of d(s). Factor n(a).
-2*a*(a - 2)*(a - 1)**2
Let z(i) be the first derivative of 5*i**3/3 - 1425*i**2/2 - 4320*i + 1684. Factor z(g).
5*(g - 288)*(g + 3)
Factor -642/11*v + 2/11*v**3 - 150/11*v**2 + 790/11.
2*(v - 79)*(v - 1)*(v + 5)/11
Let q(d) be the third derivative of -d**6/200 + 47*d**5/300 - 22*d**4/15 - 32*d**3/15 + 10*d**2 - 21. Determine a, given that q(a) = 0.
-1/3, 8
Let d = -60338 - -301698/5. Factor 23/5*y**2 + 12/5 + 1/5*y**4 - 28/5*y - d*y**3.
(y - 3)*(y - 2)**2*(y - 1)/5
Let o(g) = 50*g - 406. Let x be o(8). Let l(z) = z**2 + 3*z - 14. Let a be l(x). Factor 1/2*m**a - 1/2*m**2 + 0 - 1/6*m**3 + 1/6*m.
m*(m - 1)*(m + 1)*(3*m - 1)/6
Let d(u) be the first derivative of -u**6/72 - u**5/3 - 10*u**4/3 - 7*u**3 - 88. Let o(j) be the third derivative of d(j). What is v in o(v) = 0?
-4
Let d be 21/(-35)*40/(-12). Let c(r) be the first derivative of 1/8*r**3 - 1/16*r**d + 14 + 1/32*r**4 - 3/8*r. Factor c(n).
(n - 1)*(n + 1)*(n + 3)/8
Le