z**5/60 - 17689*z**4/72 + 1363*z. Factor q(n).
-n**2*(n - 133)**2/6
Let d be ((-1141)/42 + 27)*6/(-28). Let i(n) be the second derivative of -3/7*n**3 + 0 + 27/14*n**2 - 29*n + d*n**4. Determine u, given that i(u) = 0.
3
Let j(y) be the third derivative of -y**6/40 + 87*y**5/4 + y**4/8 - 435*y**3/2 + 43*y**2 + 19*y. Factor j(h).
-3*(h - 435)*(h - 1)*(h + 1)
Let n = 526 - 523. Let y(j) be the third derivative of 0*j**n + 0 + 0*j**4 - 4/105*j**6 + 4/105*j**5 + 2/147*j**7 - 43*j**2 + 0*j - 1/588*j**8. Factor y(a).
-4*a**2*(a - 2)**2*(a - 1)/7
Let b be (-78)/(-351) - 2208/(-270). Let b*d**2 + 2/5*d**4 - 16/5*d**3 + 0 - 36/5*d = 0. Calculate d.
0, 2, 3
Let d(k) be the first derivative of -3*k**5/10 - 57*k**4/8 + 87*k**3/2 - 339*k**2/4 + 69*k - 3447. Determine o, given that d(o) = 0.
-23, 1, 2
Factor 46/13*a**2 + 792/13 + 2/13*a**3 + 336/13*a.
2*(a + 6)**2*(a + 11)/13
Let i(g) be the second derivative of -g**6/15 + 6*g**5/5 + 9*g**4/2 + 14*g**3/3 + 671*g + 2. Factor i(j).
-2*j*(j - 14)*(j + 1)**2
Let s(a) be the third derivative of -a**8/504 + a**7/630 + 23*a**6/360 - 7*a**5/180 - 5*a**4/8 - a**3 - 1240*a**2. What is f in s(f) = 0?
-3, -1, -1/2, 2, 3
Let m = 1020 - 1020. Let k(w) be the first derivative of 18 + m*w - w**2 - 1/3*w**3. Factor k(j).
-j*(j + 2)
Let a = 4373 + -4373. Let y(d) be the third derivative of a + 0*d - 2*d**4 - 35*d**2 - 1/20*d**5 - 32*d**3. Suppose y(m) = 0. What is m?
-8
Suppose 172*n - 13 = 171*n - 2*v, -2*v + 3 = -n. Find r, given that 11/2*r + 1/2*r**2 + n = 0.
-10, -1
Suppose -5*w + 13*w = 80. Factor -21*o**2 + w*o - o - 10 + 15*o**2 + 7*o**2.
(o - 1)*(o + 10)
What is o in -180*o + 2 + 5*o**4 - 96*o**3 - 100*o - 737 + 370*o**2 + 16*o**3 = 0?
-1, 3, 7
Factor 0 - 2*a - 89/2*a**3 - 93/2*a**2.
-a*(a + 1)*(89*a + 4)/2
Suppose -3*q - 68 = -m, -3*q + 116 = 2*m - 38. Let h be (-2 + m/27)*(-504)/(-420). What is p in 2/3*p**3 + 0 - 2/9*p**4 + 0*p + h*p**2 = 0?
-1, 0, 4
Let a(g) = 33*g - 8*g - 15*g + 14 - 11*g. Let f be a(5). Factor -8*z**2 - 4*z**3 - 2*z**3 + f*z**3 + z**3.
4*z**2*(z - 2)
Let u = -456 - -508. What is h in -u*h - 3*h**2 - 153*h - 105*h - 8*h - 8427 = 0?
-53
Let r = 4725 + -4717. Let c(u) be the third derivative of 7/12*u**5 + 5/12*u**4 - 25*u**2 + 5/42*u**7 + 5/336*u**r + 0*u**3 + 0*u + 3/8*u**6 + 0. Factor c(o).
5*o*(o + 1)**3*(o + 2)
Let o(g) = 6*g**2 - g - 2. Let i be o(2). Let j = 25 - i. Let 7*q**4 - 7*q + j*q**4 - 27*q**3 + 8*q**2 + 10*q**2 + 4*q = 0. What is q?
0, 1/4, 1
Let b = 64 + -61. Let o = 5/37 + 101/74. Suppose -2*i - 1/2*i**4 - o*i**2 + 2*i**b + 2 = 0. Calculate i.
-1, 1, 2
Suppose -30 = 5*s + 3*p, 1108 = -2*s - 2*p + 1088. Suppose 9/4*d**3 + 1/8*d**5 + d + 5/2*d**2 + 7/8*d**4 + s = 0. Calculate d.
-2, -1, 0
Let t(u) be the third derivative of 0*u**4 - 5/12*u**5 + 82*u**2 - 1/24*u**6 + 0*u**3 + 0 + 0*u. Factor t(x).
-5*x**2*(x + 5)
Let o = 25539 + -51077/2. Find v such that 0 - o*v**3 + 0*v**2 + 0*v = 0.
0
Let x(a) be the first derivative of -14/3*a + 2*a**2 + 2/9*a**3 - 47. Determine c so that x(c) = 0.
-7, 1
Determine h so that 32/5 - 4/5*h**5 - 8*h**2 + 4*h**3 + 8/5*h**4 - 16/5*h = 0.
-2, -1, 1, 2
Let g = -92 - -116. Suppose 28 + 36*k**4 - 22 - 8*k**5 + 30 - g*k - 36*k**2 - 68*k**2 = 0. What is k?
-1, 1/2, 3
Let c be (4/(-14))/((-34)/119). Suppose 2*f + c = -2*f - r, -5 = 4*f + 5*r. Factor 2/15*j**2 + f*j - 2/15.
2*(j - 1)*(j + 1)/15
Suppose 0 = -24*v + 10*v + 182. Let o(k) = -4*k**2 + 49*k + 42. Let h be o(v). Factor -4/5*z + 2/5*z**h - 2/5*z**2 + 0.
2*z*(z - 2)*(z + 1)/5
Let p(m) = -m**3 - 3*m - 6. Let s be p(-2). Let n(d) = d**2 - 10*d + 18. Let x be n(s). Factor 0 - 1/11*c - 1/11*c**x.
-c*(c + 1)/11
Let r be (-2 - -4)*(-6)/(-4). Factor -15*x**3 + 55*x**2 - 55 + 17*x**3 + 5*x - 7*x**r.
-5*(x - 11)*(x - 1)*(x + 1)
Let m(o) = 3*o + 538. Let v be m(-68). Suppose 306*p = v*p - 112. Find z such that -1/2*z**2 + 0 - 1/2*z**3 + 1/3*z + 1/3*z**p = 0.
-1, 0, 1/2, 2
Let i(r) be the first derivative of -r**6/2 + 13*r**5/5 + 31*r**4/4 - r**3/3 - 14*r**2 - 12*r - 569. What is b in i(b) = 0?
-1, -2/3, 1, 6
Let n = 73 - 27. Let d = 88 + -42. Let 96*z - d*z - n*z + 4*z**2 = 0. What is z?
-1, 0
Let r(v) be the third derivative of -50 - v**2 - 1/4*v**4 + 0*v + 5/4*v**3 - 1/40*v**5. Find w, given that r(w) = 0.
-5, 1
Let t(f) = -f**2 + 424*f + 3019. Let l be t(-7). Let i(m) be the second derivative of -45*m + 30*m**l + 0 - 35/12*m**4 + 100/3*m**3. Factor i(y).
-5*(y - 6)*(7*y + 2)
Let f(v) be the third derivative of 2*v**7/135 - 61*v**6/45 + 232*v**5/5 - 17680*v**4/27 + 6400*v**3/9 + 60*v**2 + v. Suppose f(o) = 0. What is o?
2/7, 12, 20
Let a(b) be the first derivative of -b**5 + 65*b**4 + 5*b**3/3 - 130*b**2 - 1263. Determine i so that a(i) = 0.
-1, 0, 1, 52
Let b(g) be the second derivative of -3/8*g**5 + 1/20*g**6 - 3/4*g**3 + 0*g**2 + 15*g - 3 + 7/8*g**4. What is n in b(n) = 0?
0, 1, 3
Let x(d) be the second derivative of d**4/60 - 34*d**3/15 - 69*d**2/10 - 1274*d. Factor x(p).
(p - 69)*(p + 1)/5
Let l(z) be the second derivative of 7/60*z**4 + 4 + 0*z**2 + 2/5*z**3 + 3*z + 1/100*z**5. What is x in l(x) = 0?
-4, -3, 0
Let q = -362178/5 - -72436. Factor -q*g**3 - 90*g - 12*g**2 + 0.
-2*g*(g + 15)**2/5
Let w(y) be the second derivative of -y**4/4 + 191*y**3/2 - 285*y**2 + y + 479. Factor w(l).
-3*(l - 190)*(l - 1)
Let r = 74249 + -74247. Solve 2/13*g**3 - 42/13*g - 8/13*g**r + 0 = 0.
-3, 0, 7
Let o(r) be the third derivative of r**8/840 + 4*r**7/525 - 9*r**6/100 - 3*r**5/5 + 2*r**2 - 74*r - 6. What is q in o(q) = 0?
-6, -3, 0, 5
Let d = 42 + -1. Factor d*h**4 + 39*h**4 - h**2 - 14*h**3 + 6*h - 74*h**4 - 13*h**2.
2*h*(h - 3)*(h + 1)*(3*h - 1)
Let r be (-36)/(-228)*(32/(-6))/(-8). Find u, given that -r*u**2 + 192/19*u - 4608/19 = 0.
48
Let l = 18 + -13. Let a be (-20 + 41)*((-48)/756)/(4 - 250/45). Factor -a*p**l - 6/7*p**4 + 12/7*p**3 + 0*p**2 + 0*p + 0.
-6*p**3*(p - 1)*(p + 2)/7
Let s(d) be the first derivative of d**5/5 - 7*d**4/4 - 13*d**3/3 + 43*d**2/2 - 24*d - 92. Let s(l) = 0. What is l?
-3, 1, 8
Let n(p) be the third derivative of -p**7/36 + 5*p**6/48 - p**5/24 - 61*p**4/24 + 63*p**2. Let i(y) be the second derivative of n(y). Factor i(g).
-5*(g - 1)*(14*g - 1)
Let c be (-74)/(-1036) - 362/(-28). Let a(z) be the first derivative of -4/15*z**3 - 4/5*z + 4/5*z**2 - c. Factor a(u).
-4*(u - 1)**2/5
Let p = 61634/5 + -677854/55. Factor -2 - p*g - 2/11*g**2.
-2*(g + 1)*(g + 11)/11
Let n(q) = -39*q + 44. Let i be n(-31). Let v = i - 1253. Solve -1/3*t**5 + 0 + v*t**2 - 1/3*t**3 - 2/3*t**4 + 0*t = 0 for t.
-1, 0
Let n(o) be the second derivative of 0*o**3 + 0*o**2 + 33*o + 0*o**4 + 1/15*o**5 + 1/45*o**6 + 0. Factor n(l).
2*l**3*(l + 2)/3
Let w be 13 + -1 - ((-30622)/427 - -82). Determine g so that -32/7 + w*g + 2/7*g**2 = 0.
-8, 2
Let m = 28349/3 + -9447. Let i = 35/3 - 11. Suppose 7/3*b + 4/3 - i*b**4 + 1/3*b**5 - m*b**3 - 2/3*b**2 = 0. Calculate b.
-1, 1, 4
Let v(g) be the second derivative of g**4/42 + 22*g**3/21 - 23*g**2/7 + 2157*g. Find o such that v(o) = 0.
-23, 1
Let x(j) be the second derivative of -j**4/84 + 31*j**3/21 - 116*j**2/7 + 458*j. Let x(h) = 0. What is h?
4, 58
Let m(c) = 0*c**2 - 4*c**2 - c**2 - 117 + 7*c**2 + 12*c + 40. Let z be m(4). Factor -1/3*a**5 + 1/3*a**4 - 1 + 2*a**z - 5/3*a + 2/3*a**2.
-(a - 3)*(a - 1)*(a + 1)**3/3
Suppose 5*j + 3*b = -0*j + 31, -2*j = 4*b - 18. Let z(x) be the third derivative of -5*x**2 + 1/5*x**j + 0*x + 0 + 4/3*x**3 - 3/4*x**4 - 1/60*x**6. Factor z(o).
-2*(o - 4)*(o - 1)**2
Determine m, given that -30*m - m - 3*m**3 - 9*m - 37*m - 39*m**2 - 33 + 8*m = 0.
-11, -1
Let r(m) be the first derivative of 3*m**2 + 110 + 9*m**3 + 0*m - 15/4*m**4. What is a in r(a) = 0?
-1/5, 0, 2
Let p(g) be the second derivative of g**6/105 + g**5/10 - 5*g**4/42 - 37*g**3/7 - 180*g**2/7 + 20*g + 97. Factor p(z).
2*(z - 4)*(z + 3)**2*(z + 5)/7
Let f(n) be the second derivative of n**4/3 - 92*n**3/3 - 294*n**2 - 29*n + 3. Factor f(x).
4*(x - 49)*(x + 3)
Let c(v) be the third derivative of -1/330*v**5 - 26*v**2 - 4/33*v**3 + 2 - 1/33*v**4 + 0*v. Factor c(j).
-2*(j + 2)**2/11
Let l(z) be the first derivative of 24 - 1/26*z**5 + 2/39*z**3 + 0*z**2 + 1/26*z**4 - 25*z. Let x(t) be the first derivative of l(t). What is b in x(b) = 0?
-2/5, 0, 1
Let x(d) be the third derivative of 2*d + 0*d