ative of 2 - 1/12*u**4 - 4*u**2 + 12*u + u**3. Determine x, given that n(x) = 0.
2, 4
Let s(y) be the third derivative of 0*y**3 + 1/216*y**6 + 0 + 2/135*y**5 + 1/1890*y**7 + 1/54*y**4 + 0*y + 19*y**2. What is i in s(i) = 0?
-2, -1, 0
Let g(t) = -7*t + 252. Let f be g(7). Factor f*i + 243*i - 4*i**2 + 216*i - 722*i.
-4*i*(i + 15)
Let g(w) be the third derivative of -w**5/150 - 119*w**4/60 + 242*w**3/15 + 114*w**2 - 4. Let g(c) = 0. What is c?
-121, 2
What is j in -834*j + 31*j + 355*j + 444 + 4*j**2 = 0?
1, 111
Suppose 20/3 - 10/3*l**3 - 86/3*l - 2*l**4 + 82/3*l**2 = 0. What is l?
-5, 1/3, 1, 2
Factor -1/4*j**3 - 4*j**2 + 0*j + 0.
-j**2*(j + 16)/4
Let u(f) be the first derivative of -f**5/5 + 3*f**4/4 + 4*f**3/3 - 321. Determine d, given that u(d) = 0.
-1, 0, 4
Let h(v) be the second derivative of -10/3*v**4 - v + 125/6*v**3 - 15*v**2 - 7 + 7/3*v**6 - 25/4*v**5. Find i such that h(i) = 0.
-1, 2/7, 1, 3/2
Let b(j) = j**3 - 6*j**2 - 5*j + 2. Let d be b(7). Factor -66*n**2 - 41*n - 6*n + 6*n**3 + 18*n**4 - 23*n - d*n**4.
2*n*(n - 5)*(n + 1)*(n + 7)
Let c(n) be the first derivative of -60*n**2 - 4/3*n**3 + 84 - 900*n. Determine u, given that c(u) = 0.
-15
Let y(w) be the first derivative of -1/4*w**6 + 137 + 0*w**2 + 0*w - 6/5*w**5 + 9/8*w**4 + 9*w**3. Find m such that y(m) = 0.
-3, 0, 2
Determine w so that -39/8*w**3 + 33*w + 1/8*w**4 + 0 - 113/4*w**2 = 0.
-6, 0, 1, 44
Suppose o + q = -0*o, -o + 4*q = -10. Factor -1059*j**2 - j**3 + 2*j + 1057*j**2 - o*j - j.
-j*(j + 1)**2
Find x such that -126 + 42*x - 3*x**2 - 10 - 11 = 0.
7
Let z(c) = -c**2 - 8*c - 9. Let a be z(-6). Suppose -5*n = -3*v - 0*v - 87, -4*n = -v - 71. Factor n*p**a - 258 - 22*p**3 - 242 - 300*p - 60*p**2.
-4*(p + 5)**3
Let g = -1/293484 + 2445701/293484. Factor -g*i + 26/3 - 1/3*i**2.
-(i - 1)*(i + 26)/3
Suppose -5*i + 75 = 10*i. Factor 2*x**4 - 3*x**3 - 2*x**2 + 5*x**3 + 322*x**5 - 324*x**i.
-2*x**2*(x - 1)**2*(x + 1)
Let l(n) be the second derivative of -n**6/150 + 13*n**5/100 - 19*n**4/20 + 33*n**3/10 - 27*n**2/5 + n + 1155. What is w in l(w) = 0?
1, 3, 6
Suppose 2*z = -5*s + 4*s + 73, -3*z + 2*s = -106. Let r be 104/z + 6/54. Suppose 85*h**2 - 2*h**r - 3*h**3 - 60*h**2 = 0. Calculate h.
0, 5
Let d be 10*-11*12/(-330). Let x(b) be the second derivative of -1/2*b**2 + 1/48*b**d + 0 + 0*b**3 + 16*b. Factor x(l).
(l - 2)*(l + 2)/4
Let u be -3*1*1060/(-60). Factor 97*j**3 + 10 - 49*j**3 - 5*j**4 + 25*j - u*j**3 + 15*j**2.
-5*(j - 2)*(j + 1)**3
Let s = 1310/201 + 10/67. Let y(a) be the third derivative of -1/24*a**6 - s*a**3 + 1/2*a**5 + 5/6*a**4 - 1/42*a**7 + 0*a + 16*a**2 + 0. Solve y(o) = 0 for o.
-2, 1, 2
Let -7*a**3 - 4*a + 0 + 9/4*a**4 + 9*a**2 - 1/4*a**5 = 0. Calculate a.
0, 1, 2, 4
Suppose 0 = 2*s - 3*j - 71, -3*s + 1244 = 3*j + 1115. Factor -s*x**2 - 5/2 + 20*x.
-5*(4*x - 1)**2/2
Let y(k) be the third derivative of -k**6/120 - 121*k**5/60 - 235*k**4/24 + 119*k**3/2 + 333*k**2 - 3. Factor y(d).
-(d - 1)*(d + 3)*(d + 119)
Let h = 3/923 - -13839/1846. Let v(l) be the first derivative of -3/4*l**4 + 8*l**3 - 150*l - 20 - h*l**2. Suppose v(x) = 0. Calculate x.
-2, 5
Suppose 4 = -c - 4*v + 26, -c = v - 7. Factor -20*b**2 + 24*b**c - 89*b + 17 + 27 + 41*b.
4*(b - 11)*(b - 1)
Let f(k) = -101*k + 196*k - 95*k + 4*k**2 - 17. Let p be f(4). What is r in 80 + 1560*r**2 + 1120*r**3 + 198*r**4 + 772*r + p*r**4 - 132*r = 0?
-2, -2/7
Let i(u) = u**2 - 6*u + 5. Let b be i(3). Let h = 1 - b. Let h*z - 73*z**3 + 83*z**3 + z**2 - 16*z**2 = 0. Calculate z.
0, 1/2, 1
Suppose -262*u - 864 = -270*u. Let a be (1200/u - 11)/(1/30). Factor a*k**2 + 4/3*k + 0.
2*k*(5*k + 2)/3
Suppose 2 = -q - 4*v, 2*q = v - 6 + 11. Determine b so that -43 - 17*b - 47 - 6*b**q - 5*b + 78 = 0.
-3, -2/3
Let k = -32 + 39. Let y be 8*(k + (-415)/60). Factor y*v**2 + v - 4/3*v**3 + 1/3*v**5 + 0*v**4 - 2/3.
(v - 1)**3*(v + 1)*(v + 2)/3
Let j be ((-1)/1*-3)/((-4293)/(-212)). Let g(z) be the third derivative of 0 + 23*z**2 + 1/135*z**5 + 1/54*z**4 - j*z**3 + 0*z. Determine y so that g(y) = 0.
-2, 1
Suppose -10*m + 369 = 3*i, i - 1565*m = -1562*m + 28. Let -1/3*z**3 - 5329*z - 389017/3 - i*z**2 = 0. What is z?
-73
Let p(v) be the third derivative of -1/10*v**5 - 3/2*v**4 - 2*v + 10*v**2 - 4*v**3 + 0 + 1/70*v**7 + 3/40*v**6. Factor p(j).
3*(j - 2)*(j + 1)*(j + 2)**2
Suppose -17*i**2 - 11 + 557*i + 7*i**2 + 76*i - 7 + 223*i**2 = 0. What is i?
-3, 2/71
Suppose 683*u**3 - 351*u**3 - 335*u**3 + 375*u + 183*u**2 + 189 = 0. Calculate u.
-1, 63
Let l be (61/(-183) + 2/6)/2. Let m(i) = -i + 5. Let w be m(-7). Factor w*f**5 + 15*f**4 - 7*f**5 + 0*f**3 - 20*f**2 + l*f**3.
5*f**2*(f - 1)*(f + 2)**2
Factor -46*j**3 + 70*j**2 - 8*j**2 + 64*j**3 - 826*j + 6*j**2 + 180.
2*(j - 5)*(j + 9)*(9*j - 2)
Suppose -1/9*k**3 + 0 + 1/3*k**2 + 0*k = 0. Calculate k.
0, 3
Let c(y) be the first derivative of -y**6/360 + y**5/15 - 7*y**4/24 + 134*y**3/3 - 152. Let u(m) be the third derivative of c(m). Suppose u(x) = 0. Calculate x.
1, 7
Let r(n) be the third derivative of -16*n**4 - 3*n**2 + 12 - 1/30*n**6 + 0*n - 6/5*n**5 - 256/3*n**3. Solve r(a) = 0 for a.
-8, -2
Let x(t) be the second derivative of -t**7/7 - 38*t**6/45 - 53*t**5/30 - 14*t**4/9 - 4*t**3/9 + 16*t - 14. Determine d so that x(d) = 0.
-2, -1, -2/9, 0
Let z(m) be the second derivative of 2*m**7/7 + 8*m**6/3 - 24*m**5/5 - 46*m**4 - 278*m**3/3 - 84*m**2 + 1328*m + 1. Suppose z(v) = 0. Calculate v.
-7, -1, -2/3, 3
Let h(a) be the first derivative of a**5/20 - 5*a**4/4 - 47*a**3/12 + 33*a**2/4 + 1162. Solve h(u) = 0.
-3, 0, 1, 22
Let z be 1/(-7) - (-58)/14. Suppose 30 = 11*p + z*p. Factor -9/7*i**3 + 15/7*i - 6/7*i**p + 12/7.
-3*(i + 1)**2*(3*i - 4)/7
Let u(g) be the second derivative of -g**4/12 - 41*g**3/2 + 62*g**2 + 788*g. Find m, given that u(m) = 0.
-124, 1
Suppose r + 2*u = -42, 7*r + 50 = 6*r + 2*u. Let o(i) = 24*i + 1109. Let m be o(r). Factor 0*x - 4*x**3 + 0*x**4 + 16/3*x**2 + 1/3*x**m + 0.
x**2*(x - 2)**2*(x + 4)/3
Let g = -39 - -48. Suppose 18 = g*r - 3*r. Factor 5*z**5 + 19*z**3 - 15*z**4 + z**2 - 6*z**2 - 4*z**r.
5*z**2*(z - 1)**3
Let r(l) be the third derivative of 91/30*l**4 + 0*l + 88*l**2 + 0 - 169/30*l**3 - 1/1050*l**7 + 7/150*l**6 - 37/50*l**5. Factor r(c).
-(c - 13)**2*(c - 1)**2/5
Factor -12800/3*y + 88/3*y**4 + 64000/3 + 304/3*y**3 - 3680/3*y**2 + 4/3*y**5.
4*(y - 4)**2*(y + 10)**3/3
Let o(t) be the third derivative of 0*t + 102400000/3*t**3 + 3200*t**5 + 125*t**2 + 0 + 1280000/3*t**4 + 1/42*t**7 + 40/3*t**6. Factor o(z).
5*(z + 80)**4
Let p(s) be the third derivative of 4/15*s**6 + 0 + 0*s + 49/6*s**4 - 5/2*s**5 + 1/105*s**7 - 40/3*s**3 + 226*s**2. Factor p(c).
2*(c - 2)*(c - 1)**2*(c + 20)
Factor 7*i**2 + 60*i + 0*i**2 + 64 - 6*i**2 - 44*i.
(i + 8)**2
Factor 13/2*j**2 + 15/2 - 1/2*j**3 + 29/2*j.
-(j - 15)*(j + 1)**2/2
Let k(b) be the first derivative of -b**4/2 - 232*b**3/3 + 611*b**2 + 1452*b - 7715. Find j such that k(j) = 0.
-121, -1, 6
Suppose 31*a - 71 - 43 + 21 = 0. Let i(k) be the second derivative of -1/18*k**4 + 4/9*k**2 + 0 + 0*k**a - 1/90*k**5 - 13*k. Suppose i(w) = 0. What is w?
-2, 1
Let v = -308417 + 308421. Determine n so that -1/2 - 2*n**2 + n**3 - 1/6*n**v + 5/3*n = 0.
1, 3
Let q(l) = l**5 - l**4 + 13*l**3 + 2*l**2 - 2. Let i(r) = 9*r**5 + 120*r**4 + 195*r**3 - 234*r**2 - 12. Let h(a) = -i(a) + 6*q(a). Determine u so that h(u) = 0.
-41, -2, 0, 1
Let j(d) be the third derivative of -d**8/56 + 527*d**7/21 - 256961*d**6/20 + 24982059*d**5/10 + 25153757*d**4/6 + 397*d**2. Let j(f) = 0. What is f?
-2/3, 0, 293
Let o be (-252)/(-15)*(-15)/39*728/(-448). What is v in -o - 3/8*v**3 - 171/8*v - 45/4*v**2 = 0?
-28, -1
Let d(b) = -b**2 + 7*b - 6. Let u be d(2). Factor -3*s**2 + 0 - 5*s**2 + u - 6*s**3 + 5*s + 5*s.
-2*(s - 1)*(s + 2)*(3*s + 1)
Let j(v) be the first derivative of v**7/1680 - 11*v**6/720 + v**5/10 + 3*v**4/4 + 106*v**3/3 + 47. Let m(u) be the third derivative of j(u). Solve m(i) = 0.
-1, 6
Let j(n) = n**2 + 2*n + 13. Let p be j(-4). Suppose -26*v = -p*v - 10. Let 39*m**2 + 42*m**v - 66*m**2 - 41*m - 18 + 2*m = 0. What is m?
-2/5, 3
Let g = 13 - 2. Suppose -g*t = 16 - 5. Let z(m) = m**2. Let o(h) = -6*h**2 + 16*h - 12. Let b(x) = t*o(x) - 2*z(x). Factor b(n).
4*(n - 3)*(n - 1)
Let x(u) be the third derivative of -u**6/150 - 2*u**5/15 - 17*u**4/30 - 1