3/3 - 88*w**2/5 - 5028*w. Let j(a) = 0. What is a?
-22, -1, -2/5
Let s(u) be the second derivative of -u**6/72 - u**5 - 30*u**4 + u**3/6 - 13*u**2/2 + 19*u. Let o(a) be the second derivative of s(a). Factor o(d).
-5*(d + 12)**2
Suppose -2*j**3 + 121973 + 5*j**3 - 770 - 375*j**2 + 9849*j = 0. Calculate j.
-9, 67
Let b = 77 + -52. Suppose -3*w = -2*w - b. Factor -w*f**4 + 6*f**3 - 3*f**2 + 12*f**4 + 10*f**4.
-3*f**2*(f - 1)**2
Let z(j) be the first derivative of -4*j**3 + 3/4*j**4 + 48*j - 6*j**2 + 46. Determine i so that z(i) = 0.
-2, 2, 4
Factor -213/8*t + 69/8*t**2 + 9/4.
3*(t - 3)*(23*t - 2)/8
Let q(d) be the first derivative of -5*d**6/6 + 7*d**5 + 115*d**4/2 - 1490*d**3/3 + 2175*d**2/2 - 945*d + 1865. Let q(f) = 0. Calculate f.
-7, 1, 3, 9
Let c = 5349/3562 + -3/1781. Let a(l) be the first derivative of -2*l**3 + 6 + 15/4*l**2 - c*l. Solve a(h) = 0.
1/4, 1
Let v(t) = -20*t**3 - 220*t**2 - 395*t - 240. Let p(h) = -5*h**3 - 56*h**2 - 99*h - 60. Let j(i) = 15*p(i) - 4*v(i). Solve j(u) = 0.
-4, -3, -1
Let y(t) be the second derivative of -5*t**5/3 - t**4/3 - 7*t**2 - 53*t. Let k(w) be the first derivative of y(w). Solve k(a) = 0 for a.
-2/25, 0
Let z(b) = 8*b**2 - 103*b + 246. Let m(k) = -7*k**2 + 102*k - 249. Let r(w) = -3*m(w) - 2*z(w). Let r(o) = 0. Calculate o.
3, 17
Let i(n) be the first derivative of -n**5/480 - 11*n**4/48 + n**2 - 17*n + 135. Let o(f) be the second derivative of i(f). Suppose o(l) = 0. Calculate l.
-44, 0
Let c = -8/39085 + 39109/117255. Solve -5/3*k**2 + 2 - c*k**4 - 5/3*k + 5/3*k**3 = 0 for k.
-1, 1, 2, 3
Let a(k) be the first derivative of -1/5*k**4 - 17 - 56/5*k**2 + 88/15*k**3 - 52*k. Let d(s) be the first derivative of a(s). Suppose d(f) = 0. Calculate f.
2/3, 14
Let a(z) = -z**3 + 16*z**2 - 67*z + 72. Let d be a(10). Factor -24 - 22/3*c**d + 24*c + 2/3*c**3.
2*(c - 6)*(c - 3)*(c - 2)/3
Let l be (-3)/((-162)/165) - 44/88. Factor 512/9*g - l*g**4 + 0 - 56/3*g**3 - 1/9*g**5 - 320/9*g**2.
-g*(g - 1)*(g + 8)**3/9
Let m(v) = 10*v**4 + 40*v**3 - 96*v**2 + 6*v + 6. Let p(j) = 48*j**4 + 198*j**3 - 479*j**2 + 29*j + 29. Let w(u) = 29*m(u) - 6*p(u). Solve w(k) = 0.
0, 5, 9
Let n(u) = -2*u**4 + 6*u**3 - 26*u**2 - 4*u + 2. Let j(t) = -8*t**4 + 20*t**3 - 105*t**2 - 18*t + 9. Let h(q) = 4*j(q) - 18*n(q). Suppose h(z) = 0. What is z?
0, 3, 4
Let o(a) be the second derivative of a**5/40 + 5*a**4/24 - 23*a**3/3 + 39*a**2 + 123*a + 1. Determine m, given that o(m) = 0.
-13, 2, 6
Let -16*d**3 + 2673*d**4 - 5327*d**4 + 2658*d**4 = 0. Calculate d.
0, 4
Let t(i) be the first derivative of 8/9*i - 2/27*i**3 - 1/3*i**2 - 68. Find w such that t(w) = 0.
-4, 1
Let y(q) be the third derivative of -1/9*q**4 + 1/36*q**5 + 0*q + 2/9*q**3 - 1/360*q**6 - 1 - q**2. Factor y(b).
-(b - 2)**2*(b - 1)/3
Factor 800/11 + 4792/11*v**2 + 2/11*v**5 + 72*v**4 - 3188/11*v**3 - 3198/11*v.
2*(v - 1)**4*(v + 400)/11
Let o(j) be the second derivative of -38/3*j**3 + 361*j**2 + 1/6*j**4 - 9 + 3*j. Suppose o(r) = 0. Calculate r.
19
Let h(w) be the third derivative of -w**5/120 + 131*w**4/16 - 391*w**3/6 + 508*w**2. Solve h(p) = 0 for p.
2, 391
Let n(c) be the first derivative of -7*c**5/90 - 20*c**4/27 + 4*c**3/9 + 30*c - 41. Let w(j) be the first derivative of n(j). Factor w(p).
-2*p*(p + 6)*(7*p - 2)/9
Let h be (((-3)/4)/((-213)/(-1136)))/(30/(-9)). Factor -h - 4*r**2 + 26/5*r.
-2*(r - 1)*(10*r - 3)/5
Factor 1/6*o**2 + 58 - 349/6*o.
(o - 348)*(o - 1)/6
Let t(o) be the second derivative of o**6/60 - o**5/10 - 7*o**4/12 + 3*o**3 + 45*o**2/4 - 536*o. Find p, given that t(p) = 0.
-3, -1, 3, 5
Let x(z) be the first derivative of 1/75*z**5 + 0*z + 0*z**3 - 14*z**2 + 23 + 1/36*z**4 + 1/900*z**6. Let c(w) be the second derivative of x(w). Factor c(r).
2*r*(r + 1)*(r + 5)/15
Let p(n) be the second derivative of -n**4/18 - 70*n**3/3 + 546*n. Determine m so that p(m) = 0.
-210, 0
Let x = 2591 + -2588. Let k(w) = -w**3 + w**2 + 2*w + 3. Let s be k(-2). Factor -6 + 15*z**3 + 5 + 2*z - s*z**x + 7*z**2.
(z + 1)**2*(4*z - 1)
Suppose -8/11 + 2/11*t**2 + 0*t = 0. Calculate t.
-2, 2
Let l be -3 - (-52)/10 - (-1018)/110. Let s = 24758/2651 - 16/241. Solve 30/11*g**4 - s*g**3 + 12/11 + l*g**2 - 6*g = 0 for g.
2/5, 1
Let u(q) be the first derivative of -q**3 + 357*q**2/2 + 360*q + 4666. Find h, given that u(h) = 0.
-1, 120
Let n(d) be the first derivative of d**7/21 + d**6/8 - d**5/12 - 5*d**4/8 - 5*d**3/6 - 17*d**2 - 43. Let v(a) be the second derivative of n(a). Factor v(z).
5*(z - 1)*(z + 1)**2*(2*z + 1)
Let g(l) = -3*l**3 + 348*l**2 - 652*l + 314. Let o(b) = 3*b**3 - 345*b**2 + 651*b - 315. Let z(p) = -6*g(p) - 7*o(p). Suppose z(f) = 0. Calculate f.
1, 107
Suppose -5*o + 21 = 4*q, -6 = 3*o + 5*q - 16. Factor o*x**3 + 528 + 15*x**2 - 1046 + 15*x + 523.
5*(x + 1)**3
Let n(m) be the third derivative of m**6/100 - 14*m**5/5 - 71*m**4/5 + 1668*m**2 - m. Determine i so that n(i) = 0.
-2, 0, 142
Let l(m) be the first derivative of 5*m**4/4 - 80*m**3/3 + 225*m**2/2 + 810*m - 269. Factor l(w).
5*(w - 9)**2*(w + 2)
Suppose 0 = -19*c + 18*c + 20. Suppose x = 5*x + c. Let m(d) = -22*d**2 - 35*d - 13. Let b(v) = 45*v**2 + 70*v + 25. Let y(o) = x*m(o) - 3*b(o). Factor y(k).
-5*(k + 1)*(5*k + 2)
Let i = 464433/2 + -232216. Factor 9/2 - 5*a + i*a**2.
(a - 9)*(a - 1)/2
Let i = 955235/13 + -73479. Suppose 8/13*w + i + 2/13*w**2 = 0. Calculate w.
-2
Let h(k) be the second derivative of 5/6*k**4 - 26/15*k**3 + k**2 + 169*k - 2/25*k**5 + 0. Factor h(w).
-2*(w - 5)*(w - 1)*(4*w - 1)/5
Let z(i) be the first derivative of -i**7/5040 + i**6/216 - 23*i**5/720 + 7*i**4/72 - i**3 + i**2/2 - 16. Let s(a) be the third derivative of z(a). Factor s(q).
-(q - 7)*(q - 2)*(q - 1)/6
Suppose -z - 5*m = -1368, -27 = -5*m - 32. Let u = z - 1373. Let -7/4*r**4 - 2*r**3 - 1/4*r**5 + 0 + u*r + 4*r**2 = 0. What is r?
-4, 0, 1
Let h(j) = j**3 - 5*j**2 - 7*j + 9. Let g be (-4)/(-14) + -2 + (-162)/(-21). Let v be h(g). Find w, given that 1/3*w**v - 1/3*w + 0*w**2 + 0 = 0.
-1, 0, 1
Let i = -13 - -15. Factor -5 - 25 + i + 72*x + 132*x**2 - 4 + 28*x**3.
4*(x + 1)*(x + 4)*(7*x - 2)
Let z(c) be the second derivative of -c**7/672 - c**6/96 + c**3/3 + 61*c**2/2 - 40*c. Let d(o) be the second derivative of z(o). Factor d(g).
-5*g**2*(g + 3)/4
Suppose 5*n - 5*z = 75, z = -22202 + 22190. What is d in -2/5*d**2 + 4/5 + 6/5*d**n - 2/5*d**4 - 6/5*d = 0?
-1, 1, 2
Let y(s) be the third derivative of s**8/1344 + 11*s**7/504 + 7*s**6/36 - 23*s**4/8 - s**3/6 + 39*s**2. Let f(h) be the second derivative of y(h). Factor f(k).
5*k*(k + 4)*(k + 7)
Suppose -8550 = 2163*q - 2168*q. Let r be 4/10 + q/475. Factor 0 - 3/5*k**5 - 12/5*k - 39/5*k**3 - 36/5*k**2 - 18/5*k**r.
-3*k*(k + 1)**2*(k + 2)**2/5
Let c(u) be the second derivative of -u**6/15 + 13*u**5/2 - 1229*u**4/6 + 4843*u**3/3 + 15138*u**2 - 7*u - 919. Solve c(d) = 0.
-2, 9, 29
Let r be ((-14)/(-3) - 4) + (-106)/(-159). Let t(v) be the first derivative of -2/3*v**3 + r*v**2 - 2/3*v + 13. Factor t(y).
-2*(y - 1)*(3*y - 1)/3
Factor -272/3*y - 140/3*y**2 + 0 - 2/3*y**3.
-2*y*(y + 2)*(y + 68)/3
Let u(m) be the third derivative of 0*m + 25/3*m**3 + 1/120*m**5 + 2 + 5/12*m**4 - 19*m**2. Factor u(q).
(q + 10)**2/2
Let i be (-4)/30 + (-70920)/(-87525). Let o = i - 4/389. Find w, given that 7/3*w - 5/3*w**2 - o = 0.
2/5, 1
Let y = -4207/20 - -3189/20. Let r = 307/6 + y. Factor 0*z**2 + r*z**3 - 2/15*z**4 + 2/15 - 4/15*z.
-2*(z - 1)**3*(z + 1)/15
Let y(l) be the second derivative of l**6/480 + l**5/24 + 11*l**4/32 + 3*l**3/2 - 63*l**2/2 + 5*l. Let a(s) be the first derivative of y(s). Factor a(x).
(x + 3)**2*(x + 4)/4
Let z(j) be the third derivative of 1/30*j**6 + 1/3*j**3 - 13/72*j**4 + j**2 - 11*j + 0 + 1/90*j**5 - 4/315*j**7 + 1/1008*j**8. What is x in z(x) = 0?
-1, 1, 6
Suppose -17/4*r**2 - 59/4*r**3 + 5/4 + 59/4*r + 3*r**4 = 0. What is r?
-1, -1/12, 1, 5
Factor -16*p**2 + 2057 + 385/2*p - 3/2*p**3.
-(p + 11)**2*(3*p - 34)/2
Let r(i) be the third derivative of 27*i**2 + 1/135*i**5 - 2/3*i**3 + 1/12*i**4 + 0*i - 1/540*i**6 + 0. Factor r(s).
-2*(s - 3)*(s - 2)*(s + 3)/9
Let p be 832/640 + (-1)/(-2)*-1. Let t(d) be the first derivative of -p*d**2 + 0*d - 33 - 2/15*d**3. Factor t(y).
-2*y*(y + 4)/5
Suppose -369 = -21*u - 3099. Let m = -128 - u. Factor -3/2*k**3 + 3/2*k - 9/2*k**m + 9/2.
-3*(k - 1)*