4). Let a be (-17)/3*(-3 - -1). Find y, given that 8/3*y**c + a*y**3 + 26/3*y + 16*y**2 + 4/3 = 0.
-2, -1, -1/4
Let y(t) be the first derivative of 3*t**4/20 - 54*t**3/5 + 1449*t**2/10 - 258*t + 2462. Factor y(k).
3*(k - 43)*(k - 10)*(k - 1)/5
Let t(n) be the first derivative of 2*n**3/39 - 54*n**2/13 - 464*n/13 - 3083. Determine p, given that t(p) = 0.
-4, 58
Let g be (6/(-9))/(4/(-18)). Let y(p) = -2*p**2 - 43*p + 40. Let r be y(-22). Determine n, given that 29*n**3 + 4*n - r*n**4 + 10*n**3 + n**g - 26*n**2 = 0.
0, 2/9, 1
Let s(h) be the third derivative of -73/40*h**5 + 9/2*h**4 - 4*h**3 + 3/224*h**8 + 25*h**2 + 0*h + 0 + 17/140*h**7 - 3/80*h**6. Determine w so that s(w) = 0.
-4, 1/3, 1
Let z = 478648/9 + -53183. Determine x so that -4/9*x**2 - z*x + 2/3 - 1/9*x**3 = 0.
-3, -2, 1
Factor -3*d**2 - 29*d**3 + 280*d**3 - 138*d - 77*d**3 - 36*d**3 + 3*d**4.
3*d*(d - 1)*(d + 1)*(d + 46)
Let j = 518654/35 + -103686/7. Factor j*n + 38/5*n**3 + 10*n**2 + 8/5 + 2/5*n**5 + 14/5*n**4.
2*(n + 1)**3*(n + 2)**2/5
Let n(k) be the third derivative of k**6/120 - k**5/20 - k**4 - 13*k**3/2 + 3*k**2 + k. Let b(a) be the first derivative of n(a). Factor b(c).
3*(c - 4)*(c + 2)
Let h(j) = -26*j**3 - 35*j**2 + 136*j - 56. Let w(o) = 30*o**3 + 35*o**2 - 135*o + 55. Let c(u) = 5*h(u) + 4*w(u). Factor c(b).
-5*(b - 2)*(b + 6)*(2*b - 1)
Let a(l) be the third derivative of -1/12*l**4 - 58*l - 2/5*l**3 + 0 + 2*l**2 - 1/150*l**5. Factor a(u).
-2*(u + 2)*(u + 3)/5
Let w(t) be the first derivative of t**5 - 1395*t**4/4 - 5*t**3/3 + 1395*t**2/2 + 2342. Determine p, given that w(p) = 0.
-1, 0, 1, 279
Let c be 0 - ((2168/(-330) - 0) + 6). Let d = -24/55 + c. Solve -d*h**4 + 2/3*h**2 - 8/15 - 2/5*h + 2/5*h**3 = 0 for h.
-1, 1, 4
Let j(m) be the first derivative of 5*m**3/3 - 320*m**2 + 635*m - 1372. What is l in j(l) = 0?
1, 127
Suppose 5*s - 4*s + 3*a = 2, s + 4*a = 2. Suppose -3*z = s*z. What is o in 0*o**2 + 0*o - 1/4*o**3 + z = 0?
0
Let w(z) be the second derivative of -5*z**4/36 - 820*z**3/3 - 201720*z**2 - 1781*z. Determine i so that w(i) = 0.
-492
Let n(s) be the second derivative of 5*s**4/12 + 1370*s**3/3 + 187690*s**2 + 2*s + 963. Factor n(v).
5*(v + 274)**2
Suppose -v + 0*v + 4*s = 11, -3*v + 3*s = -12. Determine t, given that -21*t**3 - v - 174*t - 17 - 1 - 45 + 267*t**2 = 0.
-2/7, 1, 12
Suppose 4*a + 2*n - 1054 = 0, 4*n + 1298 = 5*a - 0*a. Let q = -261 + a. Suppose -9/2*c - 3/2*c**3 + 5*c**2 + q = 0. Calculate c.
1/3, 1, 2
Suppose 5*w - 2*s = -7*s + 3565, 0 = 3*w - 5*s - 2179. Let q = -713 + w. Solve -q*p**4 - 1/2*p**5 - 8*p**3 + 4 + p**2 + 17/2*p = 0.
-8, -1, 1
Factor -10 + 1/4*o**5 + 5/2*o**4 - 7*o + 31/4*o**3 + 13/2*o**2.
(o - 1)*(o + 2)**3*(o + 5)/4
Let k = 167854 + -167852. Factor -52/5 + 2/5*i**k + 10*i.
2*(i - 1)*(i + 26)/5
Let v(g) = -2*g**2 + 1. Let m = 246 + -244. Let k(x) = 3*x**2 + 46*x - 531. Let b(j) = m*k(j) + 4*v(j). Factor b(p).
-2*(p - 23)**2
Let j(d) = -d**2 - d. Let k(f) = 16 + 284*f**2 + 10*f**3 + 291*f**2 - 2*f**4 - 579*f**2. Let w(z) = 8*j(z) + k(z). Factor w(v).
-2*(v - 2)**3*(v + 1)
Let l be (-133)/(-1995)*324/3. Find a such that -24/5*a**3 - 4/5*a**4 - l*a**2 + 16/5*a + 48/5 = 0.
-3, -2, 1
Let 3*n**5 - 68*n**4 + 4976640 - 114*n**4 + 165888*n + 8928*n**3 - 10*n**4 - 114048*n**2 - 81*n**4 = 0. What is n?
-5, 24
Suppose 35*x + 1974 = 2044. Factor 0*l + 1/6*l**3 + 0 + 1/3*l**x.
l**2*(l + 2)/6
Suppose 0 - 4/9*t - 62/9*t**2 = 0. Calculate t.
-2/31, 0
Let t be (-64)/3*6/(-8). Let q be (-2)/(-2) - -1*(-14)/t. Factor -1/4*o + q + 1/8*o**2.
(o - 1)**2/8
Let k be (13 - 7/7) + (-119)/(-21) + -9. Factor -8/3*l**2 - 4 - 2*l**3 + k*l.
-2*(l - 1)*(l + 3)*(3*l - 2)/3
Find k such that 1076*k**4 - 1252*k - 2*k**3 + 3399*k**4 + 1252*k = 0.
0, 2/4475
Suppose 0 = -6*y + 7*y + 38. Let o be y/(-12) + 18/(-108). Factor 3*a + 1 - 3*a**4 + 4*a**4 - 3*a**o + a**2 + 3 - 6.
(a - 2)*(a - 1)**2*(a + 1)
Let y(a) be the second derivative of a**4/20 - 322*a**3/5 - 8325*a. Let y(u) = 0. What is u?
0, 644
Let m = 1909/14 - 14317/105. Let l(r) be the third derivative of 0*r**3 + 0*r**4 + m*r**5 + 43*r**2 + 0 + 0*r - 1/420*r**6. Factor l(c).
-2*c**2*(c - 1)/7
Let m be ((-4)/3)/((-28)/63). Factor -2*d**4 + 2*d**2 - 7*d**m - 10*d + d**3 - 3*d + 19*d.
-2*d*(d - 1)*(d + 1)*(d + 3)
Let r(g) be the third derivative of 7*g**5/110 + 12*g**4/11 - 2337*g**2. Solve r(j) = 0 for j.
-48/7, 0
Let y(d) = d**3 - 5*d**2 + 6*d + 3. Let p be y(3). Let z = -239 - -410. Factor -109*i**2 + p*i**4 - z*i**2 - 125*i**3 - 18*i**4 - 80*i.
-5*i*(i + 4)**2*(3*i + 1)
Let o = -2045 + 2050. Let s(y) be the third derivative of 0*y + 0*y**3 + 2/15*y**6 - 15*y**2 + 2/105*y**7 - 2/3*y**4 + 0 - 1/15*y**o. Factor s(b).
4*b*(b - 1)*(b + 1)*(b + 4)
Suppose -2/3*o**3 - 1024/9 + 512/3*o + 2/9*o**4 - 508/9*o**2 = 0. What is o?
-16, 1, 2, 16
Let m = -322 + 324. Suppose 0*n = n, m*s + 0*n = 5*n. Let -3/4*h**3 + 9/4*h**2 + 0 + s*h = 0. Calculate h.
0, 3
Let j(s) be the second derivative of -1/150*s**5 - 2/45*s**4 + 27*s - 2/15*s**2 + 2 - 1/9*s**3. Factor j(c).
-2*(c + 1)**2*(c + 2)/15
Let o be 13 - (-3 + (-528)/(-20) - 2486/226). Determine l, given that 0 + 6/5*l + 3/5*l**2 - o*l**4 - 6/5*l**3 = 0.
-2, -1, 0, 1
Let d(p) be the second derivative of 3*p**5/80 - 6*p**4 - p**3/2 + 144*p**2 + 332*p - 6. Factor d(b).
3*(b - 96)*(b - 2)*(b + 2)/4
Let o(m) be the third derivative of -m**5/30 + 403*m**4/24 + 101*m**3/3 + 4*m**2 - 19*m + 15. Let o(t) = 0. Calculate t.
-1/2, 202
Let z(j) be the first derivative of j**3/2 - 2778*j**2 + 5144856*j + 8472. Determine v so that z(v) = 0.
1852
Let a(g) = -9*g**4 + 7*g**3 + 114*g**2 - 209*g + 97. Let h(b) = b**4 - 3*b**3 + b + 1. Let p(s) = -a(s) - 11*h(s). Factor p(z).
-2*(z - 6)*(z - 3)**2*(z - 1)
Suppose 1823*z = 1761*z. Solve z + 0*g + 0*g**2 + 3/4*g**4 - 3/2*g**3 = 0 for g.
0, 2
Let l(f) = -5*f**2 - 21*f + 18. Let r be (-14)/(-21) - 145/15. Let q(k) = -12*k**2 - 42*k + 36. Let t(z) = r*l(z) + 4*q(z). Factor t(a).
-3*(a - 6)*(a - 1)
Let v = -474 + 478. Determine s, given that -1772 - 43*s**3 + 1836 - 128*s + 11*s**3 - 13*s**2 + v*s**4 + 109*s**2 = 0.
2
Let u(i) be the first derivative of -2*i**5/25 + 4*i**4/5 + 28*i**3/15 - 192*i**2/5 + 126*i - 1378. What is q in u(q) = 0?
-5, 3, 7
Let d(z) be the first derivative of -17/2*z**4 + 101 + z**6 + 0*z + 14*z**2 - 38/5*z**5 + 38/3*z**3. Solve d(q) = 0.
-1, -2/3, 0, 1, 7
Let s be -1 - (81/(-9) - (-42)/7). Let w(c) be the first derivative of -4/3*c**3 - 6*c**4 + 0*c + 0*c**s + 20. Determine p, given that w(p) = 0.
-1/6, 0
Factor -704/9*z + 2/9*z**2 + 61952/9.
2*(z - 176)**2/9
Let g(t) be the first derivative of -77 - 2/33*t**3 + 0*t**2 + 2/11*t. Factor g(b).
-2*(b - 1)*(b + 1)/11
Let v = -47285 + 47288. Let a(f) be the third derivative of -30*f**v + 0 + 13*f**2 + 0*f - 1/12*f**5 + 5/2*f**4. Factor a(u).
-5*(u - 6)**2
Suppose -99 = y - 91. Let z be 2/y*(-8 - (3 + -7)). Factor -4*m**3 + 13*m + 5 + m + 6*m**3 + 10*m**2 + z.
2*(m + 1)**2*(m + 3)
Let q(a) = -a**2 - 2*a. Let l(h) = -2*h**2 - 61*h - 162. Suppose -97*f + 4 = -93*f. Let k(y) = f*q(y) + l(y). Factor k(b).
-3*(b + 3)*(b + 18)
Factor q + 36 - 27*q**3 + 249*q - 300*q**2 + 41*q.
-3*(q - 1)*(q + 12)*(9*q + 1)
Suppose 3*x - 1 + 25 = 5*u, -9 = -4*u - x. Let a(h) be the first derivative of 6/25*h**5 - 2/5*h**u + 0*h + 0*h**2 + 2 - 9/20*h**4. Find t, given that a(t) = 0.
-1/2, 0, 2
Let p = 544 + -516. Let t be 88/p + (-9 - -6). Factor 4/7*n + t*n**2 + 3/7.
(n + 1)*(n + 3)/7
Let u(o) be the second derivative of 0*o**2 + 46/3*o**3 + 1/3*o**4 - 7*o - 2. Factor u(f).
4*f*(f + 23)
Let b(q) be the third derivative of 0 + 1/252*q**8 - 2/63*q**7 + 4/45*q**6 - 4/45*q**5 + 0*q + 0*q**4 + 176*q**2 + 0*q**3. Let b(d) = 0. What is d?
0, 1, 2
Suppose 4*z - 220 = -20. Let a(n) = -n**2 + 51*n - 50. Let q be a(z). Factor -1/2*c + q + 1/4*c**2.
c*(c - 2)/4
Let d be (-63)/2*(24 + 11118/(-459)). Factor 3*i**2 - 1/4*i**4 - d*i + 1/4*i**3 + 4.
-(i - 2)**2*(i - 1)*(i + 4)/4
Let c(u) be the first derivative of -u**6/420 - u**5/35 - 3*u**4/28 - 4*u**3/21 - 73*u**2 - 49. Let y(h) be the second derivative of c(h). Factor y(m).
-2*(m + 1)**2*(m + 4)/7
Let k(n) = 4*n**3 + 11*n**2 + 30*n + 18. Let z(f) = -f**3 - f**2 + 2*f**2 - 146*f + 76*f + 71*f. Let s(o) = 4*k(o) + 20*z(o). Find x, given that s(x) = 0.
-1, 18
Let v =