nd derivative of n(l). Let j(f) = 0. Calculate f.
-2, 0
Let g(j) be the second derivative of -j**7/14 + 12*j**6/5 - 9*j**5 - 37*j**4/2 + 237*j**3/2 - 189*j**2 - 20*j - 324. What is d in g(d) = 0?
-2, 1, 3, 21
Let z(g) = -g**3 - g. Let j(c) = c**3 + 3*c**2 - 3*c. Suppose 4*b - 5*d = 2*b + 81, 0 = -4*d + 20. Suppose b = -q + 52. Let s(p) = q*j(p) + z(p). Factor s(l).
-l*(l + 2)*(2*l - 1)
Let d be (6/32)/(3/48). Suppose 0 = 2*a + 3*k + 2, 6*a = 2*a + 3*k + 14. Factor d - x**a + 0 + 2 - 5*x + 1.
-(x - 1)*(x + 6)
Suppose 7395*s**2 - 1445*s - 499*s**4 - 502*s**4 + 1026*s**4 - 855*s**3 = 0. What is s?
0, 1/5, 17
Factor -5*t**4 + 3*t**4 - 132*t**2 - 2*t**4 + 134*t**3 - t**4 - 134*t + 4*t**4 + 133.
-(t - 133)*(t - 1)**2*(t + 1)
Let h(m) be the second derivative of m**7/168 - 17*m**6/60 + 4*m**5/5 + m**4/24 - 65*m**3/24 + 4*m**2 + 619*m. Factor h(v).
(v - 32)*(v - 1)**3*(v + 1)/4
Let x(i) be the second derivative of i**8/1512 + i**7/315 + i**6/180 + i**5/270 - 53*i**2/2 - 2*i + 9. Let q(t) be the first derivative of x(t). Factor q(l).
2*l**2*(l + 1)**3/9
Let d(t) = 11*t**3 - 235*t**2 + 836*t - 682. Let m(r) = -r**3 + 13*r**2 - 2. Let o(c) = d(c) + 7*m(c). Determine x so that o(x) = 0.
1, 6, 29
Let w(r) = -r**3 + 750*r**2 - 110*r + 82500. Let v be w(750). Factor -3*h**2 + v + 10/3*h - 1/3*h**3.
-h*(h - 1)*(h + 10)/3
Let j(i) be the first derivative of -i**3/3 + 179*i**2 + 359*i - 1956. Factor j(m).
-(m - 359)*(m + 1)
Suppose 318*w = 320*w + 60. Let k be 2/(-48)*(-39 - w). Determine c, given that -3/8*c**2 - k + 3/4*c = 0.
1
Let s(n) be the first derivative of 3*n**5/5 + 9*n**4 - 165*n**3 + 726*n**2 - 1260*n - 5335. Factor s(d).
3*(d - 5)*(d - 2)**2*(d + 21)
Let i(y) = 39*y**4 - 14*y**3 + 17*y**2 + 7*y + 231. Let o(a) = -a**4 - 4*a**3 - a**2 - a - 33. Let b(z) = 2*i(z) + 14*o(z). Factor b(x).
4*x**2*(x - 1)*(16*x - 5)
Find p, given that p**2 - 25 - 1/3*p**3 + 25/3*p = 0.
-5, 3, 5
Suppose -26 = r - 6*r + 4*p, -2*r = p. Factor -310*w + 89*w**r + 292*w + 33*w**3 + 4*w**2.
3*w*(w + 3)*(11*w - 2)
Let u(z) be the first derivative of -z**4/28 - 416*z**3/21 + z**2/14 + 416*z/7 - 2809. Factor u(b).
-(b - 1)*(b + 1)*(b + 416)/7
Factor 0*g + 17/6*g**3 + 4/3*g**2 + 0 + 5/3*g**4 + 1/6*g**5.
g**2*(g + 1)**2*(g + 8)/6
Let w = 11019/2 - 5507. Let u(i) be the first derivative of 0*i + 4/3*i**3 - w*i**4 + 0*i**2 + 14/3*i**6 + 8 - 22/5*i**5. Solve u(t) = 0 for t.
-1/2, 0, 2/7, 1
Let i(w) be the third derivative of -w**8/1008 + w**7/42 - w**6/10 - w**5/45 + 2*w**4/3 - 413*w**2. Determine f, given that i(f) = 0.
-1, 0, 2, 12
Let x be 30*3/14 + (-4)/(-7). Suppose x*u - 5 = 65. Find s, given that -u - 2*s**2 - 16 - 15*s + 14 + s = 0.
-6, -1
Let b(u) be the third derivative of u**5/150 + 73*u**4/60 + 142*u**3/15 - 635*u**2. Factor b(f).
2*(f + 2)*(f + 71)/5
Let p(t) = 4*t**3 + 16*t**2 + 208*t - 252. Let y(u) = 2*u**3 + 10*u**2 + 125*u - 151. Let w(k) = -7*p(k) + 12*y(k). Factor w(q).
-4*(q - 4)*(q - 1)*(q + 3)
Let c(a) = -3*a + 10. Let s be c(1). Factor 5*l + 11*l**3 - 15*l - 6*l**5 + s*l**4 + 5*l**5 - 9*l**2 + 2*l**4.
-l*(l - 10)*(l - 1)*(l + 1)**2
Let h(p) = 30*p**3 + 2220*p**2 + 6095*p - 1070. Let f(z) = 30*z**3 + 2221*z**2 + 6110*z - 1071. Let a(s) = 5*f(s) - 6*h(s). Find g, given that a(g) = 0.
-71, -3, 1/6
Let d be (6/8)/(7*(-9)/(-252)). Factor 8*h - 2 - 5*h**2 - 2 + 44*h**3 - 43*h**d.
(h - 2)**2*(h - 1)
Let n(b) be the third derivative of -4*b**3 - 1/45*b**5 - 11/18*b**4 + 0 + 36*b**2 + 0*b. Factor n(w).
-4*(w + 2)*(w + 9)/3
Let -1/11*z**3 + 0 - 16/11*z**2 - 28/11*z = 0. What is z?
-14, -2, 0
Let y(s) = -10*s**4 + 24*s**3 - 138*s**2 + 84*s + 8. Let t(m) = -6*m**4 + 16*m**3 - 91*m**2 + 56*m + 5. Let p(b) = -8*t(b) + 5*y(b). Let p(v) = 0. What is v?
-7, 0, 1, 2
Let p = 2855/2 + -1426. Let r(n) be the second derivative of 0 + 0*n**3 + 8*n + 1/4*n**4 - p*n**2. Factor r(c).
3*(c - 1)*(c + 1)
Factor -39*d + 434*d**2 + 30 + 412*d**2 - 840*d**2 + 3*d**3.
3*(d - 2)*(d - 1)*(d + 5)
Factor -410*g + 5*g - 55*g**2 + 24*g**2 + 34*g**2.
3*g*(g - 135)
Let q(h) be the third derivative of 0*h - 1/80*h**5 + 0 - 7/8*h**4 - 115*h**2 - 49/2*h**3. Determine x so that q(x) = 0.
-14
Factor 0 + 232*j**2 + 42*j + 11/2*j**3.
j*(j + 42)*(11*j + 2)/2
Let x(f) be the first derivative of -208 - 11/10*f**4 - 2/25*f**5 - 16/3*f**3 + 0*f - 48/5*f**2. Factor x(y).
-2*y*(y + 3)*(y + 4)**2/5
Let c(f) be the second derivative of -53*f + 0 - f**4 - 3/25*f**6 - 8/15*f**3 + 0*f**2 - 31/50*f**5. Let c(m) = 0. Calculate m.
-2, -1, -4/9, 0
Let z(k) be the third derivative of k**6/300 - 7*k**5/10 + 34*k**4/5 - 404*k**3/15 - 2539*k**2. Let z(a) = 0. Calculate a.
2, 101
Let l(h) be the first derivative of -h**4/8 - 29*h**3/6 + 31*h**2/2 - 1297. Factor l(n).
-n*(n - 2)*(n + 31)/2
Let h(y) = 13*y**2 + 16*y + 18. Let p(l) = -28*l + 14 + 195*l**2 - 49 - 219*l**2. Let u(i) = -11*h(i) - 6*p(i). Factor u(d).
(d - 6)*(d - 2)
Let x(h) be the third derivative of -46*h**2 + 0*h - 2 + 1/105*h**5 - 64/21*h**3 - 1/3*h**4. Let x(q) = 0. Calculate q.
-2, 16
Let m(l) be the third derivative of -2/15*l**5 - 1/60*l**6 + 19/12*l**4 - 14/3*l**3 + 11*l**2 + 0*l + 6. Factor m(f).
-2*(f - 2)*(f - 1)*(f + 7)
Let k be (-42)/28 - ((-194)/(-4) + 1). Let q = k - -54. Factor -18 + 8 - 343*h**2 + 353*h**2 - 5*h + 5*h**q.
5*(h - 1)*(h + 1)*(h + 2)
Let u be (20 + -14 + 8)*(-300)/(-980). Factor 27/7*p + 0 - u*p**2 + 3/7*p**3.
3*p*(p - 9)*(p - 1)/7
Let c(f) = f**3 - 3*f**2 - 5*f + 6. Let v be c(4). Let l = 191 - 189. Find y such that -2*y**l - 2*y - 6*y + 6*y**v - 2 + y = 0.
-1/4, 2
Suppose 0 = -8*t + 6 + 26. Let w(v) = -v**2. Let y(s) = -5*s**2 + 27*s - 26. Let f(h) = t*w(h) - y(h). Factor f(g).
(g - 26)*(g - 1)
Let f(u) be the first derivative of u**3 - 99*u**2/2 - 6*u + 150. Let d(r) = 3*r**2 - 99*r - 4. Let t(o) = -3*d(o) + 2*f(o). Let t(y) = 0. What is y?
0, 33
Let g be -1 + (792/(-77) - -11) + 4/14. Let r(b) be the second derivative of 0 + g*b**2 - 4*b - 1/4*b**4 - 3/20*b**5 + 0*b**3. Factor r(a).
-3*a**2*(a + 1)
What is c in 75/2 - 377/4*c + 5/4*c**2 = 0?
2/5, 75
Factor 574/3*g**2 + 32/3*g**3 + 0 - 12*g.
2*g*(g + 18)*(16*g - 1)/3
Let f = 316 - 316. Suppose f = -5*l - 60 + 70. What is g in -72/5*g**4 - 222/5*g**3 - 8/5*g + 16/5 - 164/5*g**l = 0?
-2, -2/3, 1/4
Let a(c) be the second derivative of 1/90*c**5 + 0 - 1/27*c**3 - 126*c + 0*c**4 + 0*c**2. What is f in a(f) = 0?
-1, 0, 1
Let p(x) = -20*x**2 + 175*x + 5. Let y(u) = 17*u**2 - 176*u - 4. Let z(n) = 4*p(n) + 5*y(n). Suppose z(b) = 0. Calculate b.
0, 36
Let j(z) be the second derivative of -1/90*z**4 + 3/5*z**2 + 8/45*z**3 + 0 - 164*z. Let j(p) = 0. Calculate p.
-1, 9
Let r(j) be the first derivative of j**4/4 - 22*j**3/3 - 159*j**2/2 - 252*j - 934. Factor r(g).
(g - 28)*(g + 3)**2
Let h(p) be the first derivative of 2*p**3/3 + 65*p**2 - 268*p - 7596. What is g in h(g) = 0?
-67, 2
Let q(o) be the third derivative of -o**5/240 - 23*o**4/96 + 46*o**2 - 20*o. Determine l so that q(l) = 0.
-23, 0
Let i(o) = -13*o + 67. Let m be i(5). Factor 6*z**3 - 9*z + 224*z**m - 7*z**3 - 234*z**2.
-z*(z + 1)*(z + 9)
Let d(i) = i**3 - 10*i**2 + 28*i - 101. Let m be d(8). Let a be 9 + (224/(-21) - m). Factor -2/3*k**3 - 14/3*k - 2 - a*k**2.
-2*(k + 1)**2*(k + 3)/3
Let g = -8685 + 234511/27. Let h(c) be the second derivative of 0 - 1/90*c**5 + 0*c**2 - 23*c - g*c**3 + 4/27*c**4. Factor h(k).
-2*k*(k - 4)**2/9
Let r = 6457/78 + -1927/26. Factor -28/3 + 2/3*j**2 + r*j.
2*(j - 1)*(j + 14)/3
Suppose 0 = 63*d - 43*d - 37680. Let v = -15067/8 + d. What is o in -v*o + 0 - 1/8*o**2 = 0?
-5, 0
Let l(m) be the second derivative of -m**5/40 - 35*m**4/24 - 247*m**3/12 + 1083*m**2/4 + 98*m - 7. Determine u, given that l(u) = 0.
-19, 3
Let j(l) be the first derivative of -4/15*l**3 + 18*l + 1/50*l**5 + 1/30*l**4 - 4/5*l**2 + 16. Let r(f) be the first derivative of j(f). Solve r(q) = 0 for q.
-2, -1, 2
Suppose 44*s + 1488 + 2164 = 0. Let y be s/(-55) - (-6)/(-10). Suppose y*f - 12/11 + 2/11*f**2 = 0. Calculate f.
-6, 1
Let r(g) be the first derivative of -237 + 8/5*g**5 - 1/6*g**6 - 15/4*g**4 + 8*g**2 - 8/3*g**3 + 0*g. Factor r(k).
-k*(k - 4)**2*(k - 1)*(k + 1)
Solve 0*m**5 + 84*m**2 - 3*m**5 + 6*m**4 + 13*m - 10*m + 5*m**3 + 33*m + 52*m**3 = 0 for m.
-2, -1, 0, 6
Let y be 2/3 - 25/(-15)*95. Suppose 5*r - 5*b = y + 106, -4 