 the second derivative of 0*o**2 - 1/7*o**3 + 1/6*o**4 + 4 + 1/105*o**6 - 23*o - 1/14*o**5. Factor m(u).
2*u*(u - 3)*(u - 1)**2/7
Let c(u) = -16*u**3 + 912*u**2 + 1848*u + 10. Let o(y) = 5*y**3 - 304*y**2 - 616*y - 3. Let g(f) = -3*c(f) - 10*o(f). Factor g(b).
-2*b*(b - 154)*(b + 2)
Let t(c) be the third derivative of c**6/60 + 352*c**5/15 + 30976*c**4/3 - 112*c**2 + 3*c. Determine v so that t(v) = 0.
-352, 0
Let i(j) = 3*j**3 - 1. Let h(l) = 2*l**3 - 75*l**2 - 1107*l + 11766. Let p(b) = -2*h(b) + 2*i(b). Solve p(z) = 0.
-41, 7
Let r(m) be the second derivative of -1/11*m**3 + 0*m**2 + 0 + m - 1/33*m**4 + 1/110*m**5. Factor r(o).
2*o*(o - 3)*(o + 1)/11
Let c(d) be the first derivative of 2*d**3/27 + 19*d**2/9 - 44*d/3 - 470. Find w such that c(w) = 0.
-22, 3
Suppose -5*b + 771 = 291. Determine n, given that n**3 + 99*n**4 + 5*n**3 + 0*n**5 - 3*n**2 - b*n**4 - 6*n**5 = 0.
-1, 0, 1/2, 1
Suppose 29*v + 8*v = 28*v + 18. Let x(b) be the first derivative of 1/2*b**v - 4/5*b**5 + 0*b - 2/3*b**3 - 7/4*b**4 + 17. Determine d so that x(d) = 0.
-1, 0, 1/4
Let q(s) be the first derivative of -10/9*s**2 - 14/3*s - 2/27*s**3 - 235. Let q(d) = 0. Calculate d.
-7, -3
Let k(q) be the second derivative of q**5/110 - 37*q**4/33 + 1292*q**3/33 + 2888*q**2/11 + 1364*q. Factor k(b).
2*(b - 38)**2*(b + 2)/11
Let b = -86 + 89. Suppose -6 = t - b*l, -2*t = -t + l - 6. Factor 7*x + 5*x + 3*x**2 - t - 15*x - 3.
3*(x - 2)*(x + 1)
Let u = 44985 - 89967/2. Solve 0 - u*t + 1/2*t**2 = 0.
0, 3
Let v(o) = 24*o**2 - 6701*o + 1747. Let c(b) = 215*b**2 - 60310*b + 15705. Let h(q) = -4*c(q) + 35*v(q). Solve h(t) = 0 for t.
1/4, 335
Determine k so that 41209/4 + 203/2*k + 1/4*k**2 = 0.
-203
Factor 0 + 24300*o**2 + 5/3*o**5 - 515/3*o**4 + 3960*o**3 + 0*o.
5*o**2*(o - 54)**2*(o + 5)/3
Let z(c) be the first derivative of -5*c**3/3 + 5*c**2/2 + 60*c - 2942. Solve z(m) = 0.
-3, 4
Suppose 3/7*y**2 + 2304/7 - 402/7*y = 0. What is y?
6, 128
Let f(i) be the second derivative of i**5/70 + 305*i**4/14 + 93025*i**3/7 + 28372625*i**2/7 - 2*i + 1104. Factor f(u).
2*(u + 305)**3/7
Let x(m) be the second derivative of 3*m**5/20 - 3*m**4 + 27*m**3/2 - 1652*m. Let x(o) = 0. Calculate o.
0, 3, 9
Let p be 1/((-8)/26 + 174361/262262). Suppose 16/5 - 1/5*l**3 + 31/5*l + p*l**2 = 0. Calculate l.
-1, 16
Let z(l) = -32*l - 1053. Let g be z(-33). Let w(i) be the third derivative of 7*i**2 + 1/140*i**5 - 3/14*i**4 + 18/7*i**g + 0 + 0*i. Find b such that w(b) = 0.
6
Solve -12*f**2 - 2/9*f**3 - 68/3 - 310/9*f = 0.
-51, -2, -1
Factor -296*r**3 + 93*r**3 - 544 - 50*r**2 + 94*r**3 + 107*r**3 - 304*r.
-2*(r + 4)**2*(r + 17)
Let b(y) be the third derivative of y**8/1008 - y**6/45 + y**5/30 + 7*y**4/72 - y**3/3 - 2*y**2 + 55*y + 7. Suppose b(n) = 0. What is n?
-3, -1, 1, 2
Let a = -699649/27 - -25913. Let n(z) be the first derivative of a*z**3 + 5/9*z**2 + 0*z - 35. Determine h, given that n(h) = 0.
-5, 0
Let v(i) be the second derivative of -186*i + 211/6*i**4 - 25/2*i**5 - 20/21*i**7 + 22*i**2 + 0 + 145/3*i**3 - 233/15*i**6. Suppose v(j) = 0. Calculate j.
-11, -1, -2/5, -1/4, 1
Let k(j) be the first derivative of -j**7/3780 - j**6/135 - 11*j**5/540 + 4*j**3/3 + 12*j + 12. Let r(y) be the third derivative of k(y). Factor r(s).
-2*s*(s + 1)*(s + 11)/9
Let g be (-5 - 1022/(-196))/(4/42). Factor -15/2*w - 3/4*w**4 - 9/2*w**3 - 9*w**2 - g.
-3*(w + 1)**3*(w + 3)/4
Let y = 282 + -271. Factor -11*n + 15*n - 9 + 13*n - 3*n**2 + y*n.
-(n - 9)*(3*n - 1)
Find h, given that -2/9*h**2 + 0 - 44/9*h = 0.
-22, 0
Let d be (1/(-3))/((-2)/30). Let u(o) be the third derivative of -5/9*o**3 - 1/36*o**d + 0 - 17*o**2 + 0*o + 5/24*o**4. Find k such that u(k) = 0.
1, 2
Let k be 6/4*(-1060)/(-3). Let d be k/210 - 3/(-9). Determine v, given that -4/7 + 4/7*v**5 - d*v**4 + 20/7*v + 40/7*v**3 - 40/7*v**2 = 0.
1
Let z(u) be the third derivative of -u**7/42 + u**6/6 + 5*u**5 - 60*u**4 - 26*u**2 - 17. Factor z(n).
-5*n*(n - 6)**2*(n + 8)
Let a(r) be the second derivative of 0 - 3*r**2 + 7/12*r**3 - 1/24*r**4 - 101*r. Determine c, given that a(c) = 0.
3, 4
Let i(j) be the second derivative of j**4/114 + 802*j**3/57 - 803*j**2/19 - 10000*j. What is b in i(b) = 0?
-803, 1
Let n be 1*2*(4/4 - 0). Factor 1286*z**3 - 1728*z + 72*z**n - 1287*z**3 + 6256 + 7568.
-(z - 24)**3
Let w(f) be the third derivative of -f**8/33600 - f**7/840 - f**6/48 - 7*f**5/60 + f**4/4 + 2*f**2 + 24. Let r(z) be the third derivative of w(z). Factor r(y).
-3*(y + 5)**2/5
Factor 1/10*q**4 + 6492/5*q**2 + 112/5*q**3 + 4928*q + 4840.
(q + 2)**2*(q + 110)**2/10
Let h = -725 - -719. Let t be (h/45)/(-4*(-5)/(-400)). Let 0*l + 0 - 4/3*l**3 + t*l**2 = 0. Calculate l.
0, 2
Suppose -2/7*g**2 - 116/7*g - 432/7 = 0. What is g?
-54, -4
Let p be (26/(-6))/((-2)/6). Let k be (-104)/12*-3 - (58 - 51). Find a, given that k + 0 + p - 16*a + 2*a**2 = 0.
4
Let m = -43749 + 314054/7. Let z = -1115 + m. What is l in 0 + 0*l + z*l**3 - 2/7*l**2 + 2/7*l**5 - 6/7*l**4 = 0?
0, 1
Let i(u) be the third derivative of -57*u**2 + 0 + 5/12*u**4 + 1/15*u**5 + 0*u**3 + 0*u. Solve i(z) = 0 for z.
-5/2, 0
Suppose 0 + 1/3*h**5 + 0*h + 77/3*h**2 + 19/3*h**4 + 95/3*h**3 = 0. What is h?
-11, -7, -1, 0
Let h(c) be the first derivative of -676*c**5/5 + 39*c**4 + 1928*c**3/3 - 960*c**2 + 512*c + 12485. Let h(s) = 0. Calculate s.
-2, 8/13, 1
Let h(t) = 5*t**4 - 55*t**3 - 5*t**2 - 10*t + 10. Let l(r) = r**2 + 2*r - 2. Let g(u) = h(u) + 5*l(u). Factor g(a).
5*a**3*(a - 11)
Let q be -6 + -5 + 5 - (-4 - (3 - -5)). Let n(s) be the first derivative of 0*s**4 + 12 - 1/16*s**2 + 1/20*s**5 + 1/48*s**q - 1/12*s**3 + 0*s. Solve n(x) = 0.
-1, 0, 1
Let l = -2/1099 + 1129/16485. Let z(m) be the third derivative of 19*m**2 + 0*m**3 + 0*m + 0 + 1/30*m**6 - l*m**5 + 0*m**4. Factor z(k).
4*k**2*(k - 1)
Suppose 4*b + 345 = -3*n + 341, -3*b + n = -10. Solve 13/6*w**b - 9/2*w + 1/3 = 0 for w.
1/13, 2
Let x(f) be the first derivative of 14 - 1/120*f**5 + 1/2*f**3 - 1/48*f**4 + 0*f + 7*f**2. Let j(l) be the second derivative of x(l). Let j(m) = 0. What is m?
-3, 2
Solve 29 + 206*u + 204*u**4 - 2*u**5 + 23 + 84*u**3 + 112*u**3 - 410*u**4 + 250*u**4 + 304*u**2 = 0.
-1, 26
Suppose 0 = 19*s - 0 - 76. Let p be 2 - ((-22)/s + 7). Factor -1/2*v**5 + 0*v + 0 - p*v**3 - v**4 + 0*v**2.
-v**3*(v + 1)**2/2
Let h(z) = -z**3 + 6*z**2 - 4*z - 1. Suppose 0 = -g - 5*c + 20, -g - c - c = -11. Let y be h(g). What is v in -27*v**4 + 12*v**4 + 4*v + 7*v**y - 12*v**3 = 0?
-1, 0, 1/2
Suppose 13*r + 28 = 15. Let x be ((-82)/(-205))/(r/(10/(-6))). Suppose -p**3 - x*p**2 + 5/6*p**4 - 1/6 + p = 0. Calculate p.
-1, 1/5, 1
Let z(c) be the first derivative of -c**4/7 + 16*c**3/21 + 6*c**2 + 2888. Factor z(s).
-4*s*(s - 7)*(s + 3)/7
Let c(b) be the third derivative of 29*b**8/4032 - b**7/504 + b**5/60 - b**4/2 + 6*b**2 + 3. Let q(y) be the third derivative of c(y). Factor q(n).
5*n*(29*n - 2)
Let z(g) be the second derivative of -7*g**4/3 + 4*g**3 + 176*g**2 - 7389*g. Determine v, given that z(v) = 0.
-22/7, 4
Let j(d) be the first derivative of -3/4*d**4 - 24 - 27*d**3 - 507*d - 585/2*d**2. Determine h so that j(h) = 0.
-13, -1
Suppose -9 = 3*i + 9. Let r be (3/2 + -2)*24/i. Let 31*b + 9*b - 200 - 3*b**2 + b**r = 0. Calculate b.
10
Let b(i) = 50*i**4 - 230*i**3 - 5*i - 5. Let w(k) = -59*k**4 + 231*k**3 + 6*k + 6. Let x(h) = 6*b(h) + 5*w(h). Factor x(j).
5*j**3*(j - 45)
Let c(y) be the first derivative of 17/3*y**3 + 28 + 21/8*y**4 + 1/24*y**6 + 5*y**2 + 0*y + 11/20*y**5. Factor c(b).
b*(b + 2)**3*(b + 5)/4
Let u(t) be the second derivative of 1/48*t**4 + 1/80*t**5 - 2 - 1/3*t**3 + 21*t - 3/2*t**2. Find s such that u(s) = 0.
-2, 3
Let y = -25961/119 + 3716/17. Let v be (-2)/(-9) + (-44)/(-126). Determine q, given that v*q + y + 1/7*q**2 = 0.
-3, -1
Factor 1353 + 20*s**3 - 25*s + 10*s**3 - 5*s**3 + 1343 - 2886 + 190*s**2.
5*(s - 1)*(s + 1)*(5*s + 38)
Let b(a) be the third derivative of a**5/60 - 485*a**4/12 + 2415*a**2. Factor b(o).
o*(o - 970)
Let b = 6338/11571 - -1456/1653. Solve -2/7*u**2 + b*u - 8/7 = 0.
1, 4
Let l = 78964 + -315835/4. Factor l*h**3 + 0*h + 0 - 15/2*h**2.
3*h**2*(7*h - 10)/4
Let x(f) = 6 + 31*f**2 + 3*f**3 + 6*f - 2 - 28*f**2 + 2. Let a(h) = 6*h**3 + 5*h**2 + 11*h + 11. Let s(z) = -6*a(z) + 11*x(z). Solve s(j) = 0.
0, 1
Let -65*o**3 + 1334/3*o**2