e the first derivative of i(z). Solve u(o) = 0.
-1, 0
Factor -2*q**3 + 27064670 - 27064670 - 136*q**2 + 280*q.
-2*q*(q - 2)*(q + 70)
Suppose 0 = -445*f + 439*f + 15360. Suppose j = 33*j - f. Solve 100/3 + 4/3*p**4 + j*p + 16*p**3 + 184/3*p**2 = 0 for p.
-5, -1
Let t(o) = -536*o + 7509. Let k be t(14). Let w(s) be the second derivative of 0*s**3 + 1/90*s**k + 0 + 32*s - 1/27*s**4 + 0*s**2. Factor w(u).
2*u**2*(u - 2)/9
Let i(a) be the first derivative of -a**5/60 - a**4/48 + a**3/12 + a**2/24 - a/6 + 1020. Factor i(u).
-(u - 1)**2*(u + 1)*(u + 2)/12
Let a = 38869 + -38865. Let m(j) be the first derivative of 5*j - 1/4*j**a + 37 + 9/2*j**2 + j**3. Determine x, given that m(x) = 0.
-1, 5
Let m = -2959/348 - -249/29. Let b(h) be the first derivative of -16 - 1/9*h**3 + 1/3*h - m*h**4 + 1/6*h**2. Factor b(s).
-(s - 1)*(s + 1)**2/3
Let r(k) be the first derivative of -k**4/14 - 620*k**3/21 - 923*k**2/7 - 1228*k/7 + 14853. Factor r(c).
-2*(c + 1)*(c + 2)*(c + 307)/7
Let h(m) be the third derivative of 1/12*m**4 - 1/60*m**6 - 16*m**2 + 0 - 19/3*m**3 + 19/30*m**5 + 0*m. Factor h(q).
-2*(q - 19)*(q - 1)*(q + 1)
Suppose 143322870 + 213584224 - 1475228*c + 3378*c**2 + 0*c**3 + c**3 - 3*c**3 - 426586*c = 0. What is c?
563
Suppose 0 = -43*b + 46*b - z - 3, -19 = -5*b - 3*z. Let l(r) be the second derivative of 5/36*r**4 - 1/60*r**5 - 4/9*r**3 - 12*r + 2/3*r**b + 0. Factor l(k).
-(k - 2)**2*(k - 1)/3
Let g(u) be the third derivative of 0 - 4*u**2 - 7/300*u**5 + 0*u + 1/15*u**3 + 1/24*u**4. Solve g(o) = 0.
-2/7, 1
Let f = 699292/9 - 77699. Determine u, given that f*u**2 - 1 + 0*u = 0.
-3, 3
Let u(b) be the third derivative of -b**6/120 + b**5/12 + 31*b**4/8 - 99*b**3/2 - 1646*b**2. Factor u(h).
-(h - 11)*(h - 3)*(h + 9)
Let m(o) be the first derivative of -5*o**4/4 + 1540*o**3 - 711480*o**2 + 146090560*o + 4601. Factor m(p).
-5*(p - 308)**3
Let d(w) = 3*w**2 - 209*w + 1174. Let x be d(6). Let q(y) be the second derivative of 8/15*y**3 + 0 - x*y + 1/15*y**4 + 8/5*y**2. Factor q(l).
4*(l + 2)**2/5
Let v(s) = -3*s. Let w(q) = 2*q**2 - 83*q. Let x be (-1)/4 + ((-164)/(-16) - 7). Let p(r) = x*v(r) - w(r). Suppose p(t) = 0. Calculate t.
0, 37
Let p(l) be the third derivative of -l**5/20 + 7*l**4/4 + 32*l**3 - 14*l**2. Let f(v) = -v**2 - v. Let u(a) = 6*f(a) - p(a). Solve u(y) = 0.
-8
Suppose 5*g - 3 = -j, 2*j = -g - 3*g + 6. Factor -5*i - 3*i - 2*i**2 - 5*i**2 - 4*i + j*i**2.
-4*i*(i + 3)
Let a(i) be the second derivative of 7*i**6/255 - 131*i**5/170 + 69*i**4/34 - 49*i**3/51 - 2*i**2 - 387*i + 2. Let a(y) = 0. Calculate y.
-2/7, 1, 17
Let o(k) = -11*k**4 - 12*k**3 - 14*k**2 - 12*k + 10. Let v(t) = 24*t**4 + 26*t**3 + 29*t**2 + 26*t - 19. Let u(s) = -13*o(s) - 6*v(s). Factor u(p).
-(p - 2)**2*(p + 2)**2
Let t(o) be the second derivative of o**6/120 + o**5/80 - 21*o**4/16 + 81*o**3/8 - 135*o**2/4 + 24*o - 62. Suppose t(v) = 0. Calculate v.
-10, 3
Let v(o) be the second derivative of o**4/9 - 50*o**3/3 + 276*o**2 + 195*o - 12. Factor v(k).
4*(k - 69)*(k - 6)/3
Let r = 31 - 22. Suppose r*m + 23 = 77. Factor -4*n**3 - 4 - 3*n**4 + m*n**2 + 4*n**3 + 1.
-3*(n - 1)**2*(n + 1)**2
Factor -201 + 33/2*h**2 + 369/2*h.
3*(h - 1)*(11*h + 134)/2
Factor -520/9*z + 0 - 71/9*z**4 - 134/3*z**3 - 788/9*z**2 - 1/9*z**5.
-z*(z + 2)**3*(z + 65)/9
Suppose 64 = 2*d - 6*z + z, -5*d = -z - 22. Determine y so that 0 + 12*y + 14*y**d + 16/3*y**3 + 2/3*y**4 = 0.
-3, -2, 0
Let s = 29217 - 29017. Let 20*m + 1/2*m**2 + s = 0. Calculate m.
-20
Let h(m) be the third derivative of m**6/4140 + m**5/345 + m**4/69 + 13*m**3/3 - 82*m**2. Let b(y) be the first derivative of h(y). Factor b(g).
2*(g + 2)**2/23
Factor -77618/17 - 2/17*d**2 + 788/17*d.
-2*(d - 197)**2/17
Find v, given that 6*v**3 - 5655/2*v - 1257/4 - 10029/4*v**2 = 0.
-1, -1/8, 419
Let q(o) be the second derivative of -33*o**5/20 + 43*o**4/2 - 106*o**3 + 252*o**2 - 839*o - 2. Find w such that q(w) = 0.
2, 42/11
Let i(k) be the second derivative of k**5/140 + 125*k**4/84 + 61*k**3/21 - 124*k**2/7 - 15*k + 142. Let i(j) = 0. Calculate j.
-124, -2, 1
Let a = -586617 - -1173261/2. Factor 0 + 0*o - 3/2*o**2 - a*o**4 - 15*o**3.
-3*o**2*(o + 1)*(9*o + 1)/2
Factor 8464/3 + 3496/3*c - 38/3*c**3 + 59*c**2 + 1/3*c**4.
(c - 23)**2*(c + 4)**2/3
Let u(n) = n**2 + 42*n - 459. Let c be u(-51). Let j(v) be the third derivative of -10*v**2 + 1/20*v**4 + c + 0*v - 4/15*v**3 + 1/150*v**5. Factor j(i).
2*(i - 1)*(i + 4)/5
Suppose -16 = -6*b - 1588*j + 1584*j, 0 = 5*j - 20. Factor -2/11*a**5 - 4/11*a**4 + 0 + 4/11*a**2 + 2/11*a + b*a**3.
-2*a*(a - 1)*(a + 1)**3/11
Factor 5 + 69*f - 21 - 9*f**3 + 27*f**2 + 2 - 3*f**4 + 13 + 37.
-3*(f - 3)*(f + 1)**2*(f + 4)
Let l(m) be the first derivative of 2/3*m**3 + 0*m - 162 + 22/45*m**5 - 19/18*m**4 - 1/27*m**6 + 0*m**2. Find o such that l(o) = 0.
0, 1, 9
Let x(n) = -44*n**3 - 130*n**2 + 45*n + 2714. Let q(p) = 31*p**3 + 86*p**2 - 30*p - 1810. Let r(m) = 7*q(m) + 5*x(m). Factor r(w).
-3*(w - 4)*(w + 5)*(w + 15)
Let u(o) = -12*o**4 - 225*o**3 - 3405*o**2 + 4086*o + 7359. Let r(m) = m**4 + 2*m**3 - 6*m**2 + m - 1. Let b(l) = 9*r(l) + u(l). Factor b(j).
-3*(j - 2)*(j + 1)*(j + 35)**2
Let c(p) be the second derivative of 12*p**7/7 - 2*p**6/15 - 108*p**5/5 - 46*p**4 - 92*p**3/3 + 6*p**2 - 3800*p. Suppose c(u) = 0. Calculate u.
-1, 1/18, 3
Let b be -14 + ((-2)/2 - (-1 - -1)). Let m = -10 - b. Factor 7*g**2 - 7 - 3 + m - 2*g**2.
5*(g - 1)*(g + 1)
Let w(b) = b**3 - 17*b**2 + 3*b - 40. Let r be w(17). Let d be 2/r + ((-245)/(-44) - 5). Solve -3/4 + d*c**2 + 3/8*c**3 - 3/8*c = 0 for c.
-2, -1, 1
Let v(s) be the third derivative of -169*s**5/210 + 1157*s**4/42 - 7921*s**3/21 + 234*s**2 - s. Suppose v(y) = 0. Calculate y.
89/13
Let c(t) be the second derivative of -t**6/60 - t**5/30 + t**2 - 6*t. Let j(b) be the first derivative of c(b). Solve j(f) = 0 for f.
-1, 0
Let x be 3 + (-144)/45 + (-357)/(-35). Let f = 15/44 + -1/11. Solve f*b**4 + 3/2*b**2 - x*b + 2*b**3 + 25/4 = 0.
-5, 1
Let p(i) = -i**3 - 36*i**2 + 80. Let y be p(-36). Suppose 0 = y*a + 21*a. Determine o so that a - 1/2*o**3 + 0*o - o**2 = 0.
-2, 0
Let y(p) be the second derivative of 5*p**4/48 + 125*p**3 + 56250*p**2 - 7792*p. Factor y(s).
5*(s + 300)**2/4
Let b(x) = x**3 - 19*x**2 - 15*x + 1. Let h be b(20). Factor -27 - h*v + 52*v + 67*v - 3*v**2.
-3*(v - 3)**2
Let v(g) be the second derivative of 15/2*g**2 + 3*g**3 + 0 + 1/4*g**4 - 59*g. Let v(w) = 0. What is w?
-5, -1
Let u(t) be the second derivative of -t**6/105 - 116*t**5/35 - 6611*t**4/21 + 9048*t**3/7 - 13689*t**2/7 + 4888*t. Determine h, given that u(h) = 0.
-117, 1
Let j(o) be the second derivative of -o**4/6 - 12*o**3 - 35*o**2 - 886*o. Factor j(n).
-2*(n + 1)*(n + 35)
Let g(j) = 65*j**2 + 1270*j + 354. Let b(i) = -60*i**2 - 1270*i - 355. Let l(z) = 6*b(z) + 5*g(z). Factor l(r).
-5*(r + 36)*(7*r + 2)
Let w(c) = -c**3 - 16*c**2 + 42*c - 41. Let d be w(-18). Let m = d - -154. Factor -1875/2 + 3/2*z**m + 255*z**3 + 3375/2*z - 63/2*z**4 - 975*z**2.
3*(z - 5)**4*(z - 1)/2
Let o(x) = 97*x**2 + 4258*x - 4235. Let l(h) = 156*h**2 + 6388*h - 6352. Let m(t) = -5*l(t) + 8*o(t). Factor m(g).
-4*(g - 530)*(g - 1)
Let n be (-2)/6 - 12/(-9). Suppose 92 = 5*s + 4*l, 2*s - 3*l + n = 24. Factor 30*w**2 + 80 + 40*w - 9*w**2 - s*w**2.
5*(w + 4)**2
Let b = 91 - 31. Suppose -49*s + 44*s = -b. Solve -4 + s*r**3 + 5*r**2 - 9*r**4 + 7*r**2 + 4 = 0.
-2/3, 0, 2
Suppose -26 = -18*u + 10. Factor b + 29*b**3 - 25*b**3 + 4*b**u - 41*b + 32.
4*(b - 2)*(b - 1)*(b + 4)
Factor -8 - 12/7*z**2 - 172/7*z.
-4*(z + 14)*(3*z + 1)/7
Let n(o) be the third derivative of -o**7/630 - 67*o**6/360 + 137*o**5/180 - 23*o**4/24 + 639*o**2. Determine h so that n(h) = 0.
-69, 0, 1
Let c be (1/(-179))/((-53)/(-212)). Let x = 346/537 - c. Let -8/9*i**2 + 4 + x*i - 2/9*i**3 = 0. Calculate i.
-3, 2
Let y = 145 + -141. Let -34*a - 35*a - y*a**2 + 65*a + 8 = 0. Calculate a.
-2, 1
Let y(x) = -2*x**3 - 2*x**2 + 2*x + 2. Let n(a) = -2*a**4 + 194*a**3 + 390*a**2 + 190*a - 4. Let b(r) = 2*n(r) + 4*y(r). Find o, given that b(o) = 0.
-1, 0, 97
Let x(k) = 8*k + 8. Let a be x(-1). Let i(l) = -l**3 + 7*l**2 - 60*l + 422. Let h be i(7). Determine n so that 2/5*n**4 + 0*n**h + a - 6/5*n**3 + 8/5*n = 0.
-1, 0, 2
Let l(x) be the third derivative of x**5/90 - 109*x**4/36 + 12*x**