29. Factor -m*z - 2/13*z**2 - 200/13.
-2*(z + 10)**2/13
Let v be 16/(-72) + 1140/27. Let h = -39 + v. Determine q, given that 2/5*q**h + 0*q - 8/5*q**2 + 0 = 0.
0, 4
Factor -1/8*o**2 - 243/2*o - 59049/2.
-(o + 486)**2/8
Let v(i) be the second derivative of 2*i**7/21 - 64*i**6/15 + 324*i**5/5 - 240*i**4 - 3456*i**3 + 41472*i**2 + 5392*i. Solve v(s) = 0 for s.
-4, 6, 12
Let j(h) be the third derivative of -h**6/480 + 93*h**5/80 + 35*h**4/12 - 1738*h**2. Factor j(f).
-f*(f - 280)*(f + 1)/4
Let t(h) be the second derivative of 0*h**3 + 38/75*h**6 + 4*h - 2/105*h**7 + 4/5*h**5 + 0*h**4 + 0*h**2 - 14. Suppose t(v) = 0. Calculate v.
-1, 0, 20
Let m = 378292 - 3404623/9. Factor 4/9*l - m + 1/9*l**2.
(l - 1)*(l + 5)/9
Let g(b) be the first derivative of b**5/5 - b**4 - 8*b**3/3 + 60*b - 14. Let k(j) be the first derivative of g(j). Let k(s) = 0. What is s?
-1, 0, 4
Find x such that -2/3*x**2 + 1596*x - 955206 = 0.
1197
Let o(y) be the second derivative of -y**7/21 - y**6 - 69*y**5/10 - 101*y**4/6 + 14*y**3 + 144*y**2 - 922*y. Let o(a) = 0. Calculate a.
-8, -3, -2, 1
Suppose 0 = 14*u - 368 + 116. Let z = u - 16. Find s, given that 33*s - 31 + 14 + 15*s**z + 10 + 13 = 0.
-2, -1/5
Factor 2/7*v**2 - 506/7*v + 72.
2*(v - 252)*(v - 1)/7
Let l(k) = -7*k**2 - 117*k - 396. Let i be l(-12). Factor i - 1/2*c**2 + 14*c.
-c*(c - 28)/2
Let k(w) = w**2 - 529*w + 12602. Let b be k(25). Suppose 0*q**b + 0 + 0*q - 9/4*q**5 + 21/2*q**3 + 57/4*q**4 = 0. Calculate q.
-2/3, 0, 7
Let z = 660 - 260. Let g = -399 + z. What is k in -1/4*k**2 + 0*k + g = 0?
-2, 2
Let g(y) be the second derivative of 0 - 1/9*y**4 + 2/3*y**3 + 0*y**2 + 123*y - 1/60*y**5. Solve g(p) = 0.
-6, 0, 2
Let i = 17481 + -17481. Let q(z) be the third derivative of -1/60*z**5 + 0*z + i - z**3 + 24*z**2 + 7/24*z**4. Factor q(c).
-(c - 6)*(c - 1)
Let k(v) be the first derivative of 47/6*v**2 + 2*v**3 + 58 + 10*v + 1/12*v**4. Let k(s) = 0. Calculate s.
-15, -2, -1
Let f be ((-102)/(-11) - 9)/(2/22). Suppose m - 1 = 2*n, -4*n + 3*m - 10 = -f. Determine s, given that 0 - 13/3*s**n + 3*s**5 - 2/3*s - s**4 - 23/3*s**3 = 0.
-1, -1/3, 0, 2
Let b = 4614433/5 + -922883. Suppose -29/5*u**2 + b*u + 0 + 3/5*u**3 = 0. Calculate u.
0, 2/3, 9
Let y be (1175/4200 - (-1)/(-3))/((-90)/7). Let t(c) be the third derivative of 0 + y*c**5 + 0*c**3 + 0*c + 1/32*c**4 - 3*c**2. Factor t(l).
l*(l + 3)/4
Suppose 113*q = 11*q - 57 + 363. Let d(s) be the first derivative of -1/2*s**2 + 1/3*s**q - 21 - 2*s. Suppose d(z) = 0. What is z?
-1, 2
Suppose 212*l - 11412 = -739*l. Solve 8/3*q**3 + 18 + l*q**2 + 2/9*q**4 + 24*q = 0 for q.
-3
Let -f**2 - 355 + 0*f**2 - 6476*f + 6832*f = 0. What is f?
1, 355
Let t(y) be the first derivative of 4*y**3 + 18*y**2 + 62 - 4/15*y**5 - y**4 + 0*y. Factor t(x).
-4*x*(x - 3)*(x + 3)**2/3
Let k(f) be the second derivative of -f**7/126 - 5*f**6/18 + 9*f**5/10 - f**4/18 - 53*f**3/18 + 9*f**2/2 + 27*f. Factor k(m).
-(m - 1)**3*(m + 1)*(m + 27)/3
Suppose -5*g + 10 = 3*r - g, 10 = 4*r + 2*g. Let c(m) = -m**2 - 9*m - 11. Let y be c(-2). Factor 2*u**4 - 8*u**2 - 4*u**4 + 0*u**4 - r*u**4 + 12*u**y.
-4*u**2*(u - 2)*(u - 1)
Let k(o) be the second derivative of -5*o**7/168 + o**6/36 + 115*o**4/12 + 40*o. Let t(w) be the third derivative of k(w). Factor t(i).
-5*i*(15*i - 4)
Let c be (-2)/(-16)*(192/78)/2. Find i such that -c*i + 12/13 - 2/13*i**2 = 0.
-3, 2
Let u(p) = -p**4 + p - 1. Suppose -7*k + 11*k + 40 = 0. Let a(w) = 3*w**4 - 54*w**3 - 52*w**2 - 5*w + 5. Let n(m) = k*u(m) - 2*a(m). Solve n(z) = 0 for z.
-26, -1, 0
Let q(r) be the third derivative of -r**5/390 + 281*r**4/13 - 947532*r**3/13 + r**2 + r + 120. Factor q(h).
-2*(h - 1686)**2/13
Suppose 56*c - 18 = 27*c + 23*c. Let w(z) be the third derivative of -8*z**2 - 1/15*z**5 + 0*z + 2/3*z**4 - 2*z**c + 0. Factor w(a).
-4*(a - 3)*(a - 1)
Let i(d) be the second derivative of 68*d + 1/70*d**5 - 19/42*d**4 + 100/7*d**2 + 0 + 80/21*d**3. Let i(m) = 0. Calculate m.
-1, 10
Suppose 0 = u - 5*m, 3*m - 3 = 3. Let j(c) be the second derivative of -9/80*c**5 - 3/8*c**4 - 9/16*c**2 + 0 - 5/8*c**3 - 1/80*c**6 - u*c. Factor j(d).
-3*(d + 1)**3*(d + 3)/8
Factor 2/3*m**3 - 2*m**2 + 4/3*m + 0.
2*m*(m - 2)*(m - 1)/3
Let m(u) be the second derivative of 0 - 33*u + 0*u**3 - 1/4*u**4 + 3/2*u**2. Factor m(r).
-3*(r - 1)*(r + 1)
Let n(s) be the third derivative of -45*s**2 - 2/35*s**7 - 2*s + 0*s**3 - 1/3*s**5 + 0 - 3/10*s**6 + 1/84*s**8 + 0*s**4. Factor n(p).
4*p**2*(p - 5)*(p + 1)**2
Let d(t) be the second derivative of -10*t + 25*t**2 - 293/12*t**4 - 3/10*t**6 - 97/20*t**5 + 0 - 155/6*t**3. Factor d(q).
-(q + 1)*(q + 5)**2*(9*q - 2)
Let t be 5162/(17 + -5 - 2). Let h = -516 + t. Factor 0 + 0*v + h*v**5 - 1/5*v**3 + 1/5*v**2 - 1/5*v**4.
v**2*(v - 1)**2*(v + 1)/5
Let d = 1374 - 643. Determine s, given that 42*s - 48*s**2 - 737*s**5 + d*s**5 + 32 - 10*s - 38*s**4 - 80*s**3 = 0.
-2, -1, 2/3
Let f(m) = 7*m**2 + 30*m + 15. Let g(u) be the second derivative of -u**4/6 - 5*u**3/3 - 5*u**2/2 + 2*u. Let b(j) = -3*f(j) - 8*g(j). Factor b(c).
-5*(c + 1)**2
Let g(q) be the third derivative of q**6/420 - 103*q**5/105 - 424*q**4/21 - 3424*q**3/21 - 6356*q**2. Factor g(v).
2*(v - 214)*(v + 4)**2/7
Let z(l) be the second derivative of -5*l**4/12 + 3725*l**3/3 - 2775125*l**2/2 - 3*l - 174. Find m, given that z(m) = 0.
745
Let i(o) be the first derivative of 448/39*o**3 + 2/65*o**5 + 90 - 256/13*o**2 + 31/26*o**4 + 0*o. Factor i(l).
2*l*(l - 1)*(l + 16)**2/13
Let p(s) be the first derivative of -2/3*s**3 + 4*s - s**2 + 65. Suppose p(k) = 0. What is k?
-2, 1
Let a = 2 - -1. Let d(t) = -a*t**2 + 48 - 14 - 26 + 7*t. Let l(j) = -20*j**2 + 50*j + 55. Let c(n) = 15*d(n) - 2*l(n). Determine y, given that c(y) = 0.
-1, 2
Let v(x) = 6*x**4 + 636*x**3 - 548*x**2 - 636*x + 622. Let f(h) = -h**4 - 8*h**2 + 1. Let p(u) = -10*f(u) - v(u). Determine l, given that p(l) = 0.
-1, 1, 158
Let a(g) be the third derivative of g**5/60 + 97*g**4/24 + 230*g**3/3 - 3249*g**2. Solve a(y) = 0 for y.
-92, -5
Let w be ((-4)/24)/((-1)/4). Let u be 4/(-48)*64/20*(-19 - (-4 - 14)). Suppose u*o + 0 - w*o**2 = 0. Calculate o.
0, 2/5
Let k(i) be the first derivative of -i**4/10 - 86*i**3/5 + 532. Solve k(l) = 0 for l.
-129, 0
Let j(x) be the third derivative of -x**7/504 - 11*x**6/48 - 3*x**4/8 + 33*x**2. Let q(g) be the second derivative of j(g). Factor q(z).
-5*z*(z + 33)
Let o(l) be the second derivative of -l**6/150 + l**5/20 + l**4/6 - 2*l**3/3 - 12*l**2/5 + 43*l + 9. Suppose o(j) = 0. Calculate j.
-2, -1, 2, 6
Let l(m) be the third derivative of 2/3*m**3 + 1/168*m**8 + 1/15*m**6 + 0 + 163*m**2 + 0*m + 1/15*m**5 - 4/105*m**7 - 5/12*m**4. Factor l(g).
2*(g - 2)*(g - 1)**3*(g + 1)
What is i in -2/5*i**5 + 686/5*i - 392/5*i**2 - 252/5*i**3 - 8*i**4 + 0 = 0?
-7, 0, 1
Let x(s) be the second derivative of 0 + 12/17*s**2 - 31/51*s**3 + 9/34*s**4 - 9/170*s**5 + 1/255*s**6 - 82*s. Solve x(u) = 0.
1, 3, 4
Let i(p) be the first derivative of -p**5/5 - 4*p**4/3 + 10*p**3/3 - 92*p + 115. Let u(m) be the first derivative of i(m). Solve u(j) = 0 for j.
-5, 0, 1
Let p = -141 + 271. Let q(g) = g**3 - 15*g**2 - 18*g + 35. Let y be q(16). Factor p*m**y + 54*m**2 - 135*m**3 - 4*m**2.
-5*m**2*(m - 10)
Let z(f) be the first derivative of -1/12*f**4 - 1/180*f**6 + 1/30*f**5 - 5 + 1/9*f**3 - 1/2*f**2 + 0*f. Let s(d) be the second derivative of z(d). Factor s(y).
-2*(y - 1)**3/3
Let q(m) be the second derivative of -4/45*m**6 - 1/5*m**5 + m - 2/9*m**4 - 1/63*m**7 + 0*m**2 - 1 - 1/9*m**3. Solve q(z) = 0.
-1, 0
Let k(n) = 6*n**3 + 28*n**2 - 228*n + 345. Suppose 0 = 26*p + 41 + 323. Let f(d) = -d**3 + d - 1. Let z(s) = p*f(s) - 2*k(s). Suppose z(h) = 0. Calculate h.
2, 13
Let x(h) be the first derivative of -4*h**5/5 - h**4 + 2977. Factor x(s).
-4*s**3*(s + 1)
Let g = 2370/11 - 43/22. Let x = -212 + g. What is l in 15/2*l**3 + 0*l - 9/2*l**2 - x*l**5 - 3/2*l**4 + 0 = 0?
-3, 0, 1
Let i(k) be the third derivative of k**6/180 + 377*k**5/90 + 36091*k**4/36 + 34969*k**3/3 + 401*k**2. What is p in i(p) = 0?
-187, -3
Factor 2/9*v**4 - 34/9*v**2 + 44/3*v + 0 - 20/9*v**3.
2*v*(v - 11)*(v - 2)*(v + 3)/9
Let a(i) be the second derivative of -i**4/2 + 130*i**3/3 + 272*i**2 - 3*i + 1407. Factor a(f).
-2*(f + 2)*(3*f - 136)
Let a(t) = -t**3 + 3*t**2 + 4*t + 3. Let o be