e the second derivative of -n**4/16 - 333*n**3/8 + 1005*n**2/4 + 60*n - 18. Factor y(b).
-3*(b - 2)*(b + 335)/4
Let s(n) = -n**2 + 99*n - 514. Let m(l) = -3*l - 5. Let i(x) = -5*m(x) - s(x). Factor i(y).
(y - 77)*(y - 7)
Let y = -5844 - -5844. Let i(k) be the first derivative of -4 + y*k**3 + 4/17*k + 3/17*k**2 - 1/34*k**4. Solve i(j) = 0 for j.
-1, 2
Let k = 16496/11077 + -500/583. Determine q so that -2/19*q**5 - 8/19*q**2 + 0 - 8/19*q**4 - k*q**3 - 2/19*q = 0.
-1, 0
Let w(s) = -12 - 12*s + 0 + 11 + s**2 - 10. Let m be w(13). Factor 2/13*n**3 - 16/13*n + 10/13*n**m - 24/13.
2*(n - 2)*(n + 1)*(n + 6)/13
Solve 5/2*h**2 + 0*h + 1/2*h**4 + 0 + 21/4*h**3 = 0 for h.
-10, -1/2, 0
Let q(m) be the first derivative of 1/4*m**4 - 3/20*m**5 - 1/10*m**6 + 5 + 9*m + 1/2*m**3 + 0*m**2. Let c(k) be the first derivative of q(k). Factor c(b).
-3*b*(b - 1)*(b + 1)**2
Let o(r) be the third derivative of r**7/1050 + 13*r**6/600 + 7*r**5/300 - 19*r**4/40 + 6*r**3/5 - 4575*r**2. Suppose o(v) = 0. What is v?
-12, -3, 1
Suppose 4*c = -36 - 12. Let d be (-10)/(-6) + (-4)/c. Factor -b**4 - 3*b**3 + 2*b - 3*b + 0*b - 3*b**d + 0*b**3.
-b*(b + 1)**3
Let l = -881 - -54623/62. Let i = l + 59/186. Factor -i*m**3 + 1/3 + m**2 - m.
-(m - 1)**3/3
Let k(s) = -9*s**3 - s**2 + 2*s + 1. Let v(u) = 11*u**3 + 60*u**2 + 59*u - 164. Let l(x) = 2*k(x) + v(x). Factor l(h).
-(h - 9)*(h + 2)*(7*h - 9)
Let w(h) be the first derivative of h**6/24 + 11*h**5/20 + 3*h**4/2 - 3*h**3 + 865. Factor w(f).
f**2*(f - 1)*(f + 6)**2/4
Let k(x) be the first derivative of -x**8/840 + x**7/420 + 13*x**3/3 + x**2 - 13. Let f(s) be the third derivative of k(s). Find o such that f(o) = 0.
0, 1
Let k(p) be the second derivative of 7*p**5/180 + 41*p**4/27 + 233*p**3/18 + 15*p**2 - 4633*p + 1. Factor k(b).
(b + 5)*(b + 18)*(7*b + 3)/9
Let j be 32*(-114)/(-378) + 68/(-306). Determine x so that 1/7*x**5 + j*x**4 + 1664/7*x**3 + 98304/7*x + 131072/7 + 19456/7*x**2 = 0.
-16, -2
Let k be (-4)/(-6)*4260/80. Let p = 37 - k. Solve -1/2*y + 1/2*y**3 + 3/2 - p*y**2 = 0.
-1, 1, 3
Let u = -37132/3 + 12384. Let p(s) be the first derivative of -27 - 8*s - 13*s**2 - u*s**3. Factor p(c).
-2*(2*c + 1)*(5*c + 4)
Let q(r) = 5*r**3 + 27*r**2 - 134*r + 28. Let j be q(3). Factor -624/5*h - 52/5*h**3 - 386/5*h**2 - 2/5*h**j - 288/5.
-2*(h + 1)**2*(h + 12)**2/5
Let w = 0 + 3. Suppose 103 = p - 7*p + 583. Factor 64*u**2 - 48 - p*u + 7*u**4 - 92*u**2 - w*u**4 + 8*u**3.
4*(u - 3)*(u + 1)*(u + 2)**2
Find h, given that 59*h**4 + 136 - 708 - 68 + 13*h**5 + 380*h**3 - 384*h + 13*h**4 + 568*h**2 - 9*h**5 = 0.
-10, -4, -1, 1
Let j = -115 - -103. Let l be 2*((-114)/j + 1). Factor -2*d**2 - 16*d - 42 + l + 7.
-2*(d + 1)*(d + 7)
Let g be -16*4/468*774/(-172). Determine l so that 6/13*l**3 - g*l + 0 + 2/13*l**4 + 0*l**2 = 0.
-2, 0, 1
Let x(d) = d**2 - 699*d + 2341. Let y(q) = 140*q - 466. Let r(n) = 4*x(n) + 22*y(n). Factor r(a).
4*(a - 3)*(a + 74)
Let s(w) be the third derivative of -w**5/270 + 89*w**4/108 - 88*w**3/27 - w**2 + 747. Factor s(d).
-2*(d - 88)*(d - 1)/9
Let w(d) = -2*d**3 + d**2 - 2*d - 1. Let k(p) = 7*p**3 - p**2 + 3*p + 3. Let i(m) = m**2 - 14*m + 48. Let l be i(9). Let j(b) = l*w(b) + k(b). Factor j(s).
s*(s - 1)*(s + 3)
Let o(k) be the first derivative of -k**3/7 + 372*k**2/7 - 46128*k/7 + 1282. Suppose o(n) = 0. What is n?
124
Let o(d) be the third derivative of -1/10*d**4 + 1/100*d**5 - 1/2*d**3 + 0 + 0*d + 7*d**2. What is y in o(y) = 0?
-1, 5
Let l = -3694 - -3694. Suppose -21 - 3 = -5*w + 4*t, 9 = 3*w + 3*t. Solve 0*u**w + u**3 + 0 + l*u**2 - 1/2*u - 1/2*u**5 = 0 for u.
-1, 0, 1
Factor -22/3*k**3 - 1/6*k**4 - 136/3 - 119/2*k**2 - 293/3*k.
-(k + 1)**2*(k + 8)*(k + 34)/6
Let o(u) be the third derivative of -38/45*u**5 + u**2 - 16/9*u**3 - 157/180*u**6 + 23/9*u**4 + 0*u + 47/315*u**7 + 5/126*u**8 - 2. Find i such that o(i) = 0.
-4, -1, 1/4, 2/5, 2
Suppose 9*c - 12*c = -5*c. Let y(h) be the second derivative of -29*h + c + 5/3*h**3 + 1/4*h**5 - 5/4*h**4 + 0*h**2. Factor y(s).
5*s*(s - 2)*(s - 1)
Suppose 0 = 7*t - 36*t + 348. Suppose -39*k = -36*k - t. Find n such that -3/8*n**3 + 0 + 3/8*n + 3/8*n**2 - 3/8*n**k = 0.
-1, 0, 1
Suppose -808*w + 853*w = 450. Let i(o) be the first derivative of -w*o**2 - 15 - o**4 + 16/3*o**3 + 8*o. What is l in i(l) = 0?
1, 2
Let c(v) be the first derivative of 2*v**3/21 + 659*v**2/7 - 2644*v/7 + 7175. Factor c(j).
2*(j - 2)*(j + 661)/7
Let p(y) be the first derivative of 75 + 0*y + 0*y**3 - 2/5*y**5 - 1/2*y**4 + 0*y**2. Factor p(q).
-2*q**3*(q + 1)
Let n = -17894 + 268412/15. Let u(c) be the first derivative of -28 + 72/5*c + n*c**3 - 12/5*c**2. Solve u(d) = 0.
6
Let i = -1944 + 1944. Let z(s) be the second derivative of 0*s**4 - 1/30*s**6 + 10*s + i*s**3 - 1/10*s**5 + 0 + 0*s**2. Factor z(v).
-v**3*(v + 2)
Factor 1/10*l**4 - 38/5*l**2 - 117/10 - 3/5*l**3 - 93/5*l.
(l - 13)*(l + 1)*(l + 3)**2/10
Suppose 5*q = -2*n - 13020, 5*n + 20 = 9*n. Let y = q - -2609. Factor -8/9*l**2 + 4/3*l**y - 16/9*l + 2/9*l**5 + 10/9*l**4 + 0.
2*l*(l - 1)*(l + 2)**3/9
Suppose 12*b - 4480 = -4*b. Let n be 1148/b + 1/(-2). What is g in -n*g**2 + 4*g - 8/5*g**3 + 6/5 = 0?
-3, -1/4, 1
Let y(a) be the third derivative of 11/2*a**4 + 1/15*a**5 + 0*a + 2*a**2 + 64/3*a**3 + 59. Factor y(d).
4*(d + 1)*(d + 32)
Let q(v) be the third derivative of v**7/735 + v**6/140 - 11*v**5/210 - v**4/28 + 10*v**3/21 - v**2 - 59. Solve q(t) = 0.
-5, -1, 1, 2
Let i(h) be the first derivative of 106 + 3/4*h**4 - 93/4*h - 32*h**3 + 375/8*h**2. Factor i(w).
3*(w - 31)*(2*w - 1)**2/4
Let a = 59 - 55. Suppose -2*s + 5*r - 2 = -0*s, a*s + r = 18. Determine o, given that -23 - o**2 + 3*o**2 - 26 - s*o + 51 = 0.
1
Let n(q) be the first derivative of -q**6/180 + 2*q**5/15 - 5*q**4/4 + q**3 - 5*q - 6. Let m(w) be the third derivative of n(w). Factor m(s).
-2*(s - 5)*(s - 3)
Let w(x) be the second derivative of x**7/63 - 34*x**6/45 - 6*x**5/5 + 17*x**4/9 + 35*x**3/9 - 617*x. Determine k so that w(k) = 0.
-1, 0, 1, 35
Let i(w) be the first derivative of 0*w + 1/4*w**4 - 2/3*w**3 + 86 + 1/2*w**2. Let i(g) = 0. Calculate g.
0, 1
Let d be (36 - 36)/(((-1)/2)/(4/(-64)) - 6). Solve d + 4*o**4 - 8/3*o + 8*o**2 - 2/3*o**5 - 26/3*o**3 = 0 for o.
0, 1, 2
Suppose 4*w = 5*t + 4*t - 16, 0 = -5*t - 2*w + 30. Let y(r) be the third derivative of 0 + 1/24*r**3 + 0*r - 1/20*r**5 + 35*r**2 + 1/96*r**t. Factor y(z).
-(3*z - 1)*(4*z + 1)/4
Let x(y) be the first derivative of 6*y**5/5 + 122*y**4 - 328*y**3/3 - 2520. Factor x(c).
2*c**2*(c + 82)*(3*c - 2)
Suppose 6*g = 47 - 35. Let m(a) = a**3 + 5*a**2 - 2*a - 7. Let t be m(-5). Factor g*c + 0*c - t*c**2 - 1 + 2*c**2.
-(c - 1)**2
Let q(d) = -22*d - 955. Let l be q(-44). Let b(y) be the first derivative of -4/21*y**3 + l - 12/7*y - 8/7*y**2. Factor b(a).
-4*(a + 1)*(a + 3)/7
Factor 12696 + 2/3*d**2 - 184*d.
2*(d - 138)**2/3
Let c(k) be the second derivative of k**5/90 + 17*k**4/18 + 50*k**3/27 - k + 1869. Factor c(v).
2*v*(v + 1)*(v + 50)/9
Suppose 95*v + 177245 = -24250. Let k = v + 2126. Factor 0*z**2 - 4*z**k - 8*z**3 + 4/3*z - 32/3*z**4 + 0.
-4*z*(z + 1)**3*(3*z - 1)/3
Let h(p) = -33*p + 314. Let k be h(22). Let z = k - -414. Suppose 4/9*u + 0 + 2*u**z = 0. Calculate u.
-2/9, 0
Suppose -646*t - 52 = -633*t. Let o be 52/(-20) - (4 + (t - 3)). Suppose -2/5*f**3 + 0 + 4/5*f + o*f**2 = 0. What is f?
-1, 0, 2
Let u(a) be the second derivative of 17*a**5/20 + 19*a**4/8 + a**3 - 33*a**2 + a - 5. Let d(k) be the first derivative of u(k). Find q such that d(q) = 0.
-1, -2/17
Let a(c) be the first derivative of 30*c - 5/4*c**4 + 55/2*c**2 - 132 + 20/3*c**3. Determine r so that a(r) = 0.
-1, 6
Let a = -6821810/9 - -757979. Factor 0*h**4 - a*h**5 + 0*h + 1/3*h**3 + 0 + 2/9*h**2.
-h**2*(h - 2)*(h + 1)**2/9
Let r(s) = s**3 - 37*s**2 + 37*s - 32. Let k be r(36). Factor 4*w**5 + k*w**4 + 90*w**3 - 15*w - 9*w - 118*w**3 - 18*w**2 - 34*w**2.
4*w*(w - 3)*(w + 1)**2*(w + 2)
Let n(i) be the first derivative of 0*i + 0*i**4 + 0*i**3 - 2/85*i**5 + 0*i**2 - 83. Determine j so that n(j) = 0.
0
Factor -195/7*r**2 + 338*r - 12/7*r**3 + 1/7*r**4 + 0.
r*(r - 13)**2*(r + 14)/7
Let f be 2185/171 + -10 + 4 + -5. Suppose -4/3*j + 8/9 - 4/9*j**5 - 8/9*j**2 + 0*j**4 + f*j**3 = 0. Calculate j.
-2, -1, 1
Let z(p) be the third derivative of p**8/756 - 11*p**