7. Factor z(t).
(t - 10)*(t + 1)*(7*t - 2)/7
Let v(w) be the first derivative of -7*w**6/3 + 888*w**5/5 + 5071*w**4/14 - 8476*w**3/21 - 3372*w**2/7 - 1040*w/7 - 1701. Find s such that v(s) = 0.
-2, -2/7, 1, 65
Factor 1140 - 12*o**2 - 77*o + 11*o**2 + 6*o - 14*o - 138*o.
-(o - 5)*(o + 228)
Let r = 518/1563 - -1/521. Let b(n) be the second derivative of -r*n**3 + 3*n + 0 - 1/3*n**4 + n**2. Factor b(f).
-2*(f + 1)*(2*f - 1)
Suppose 0 = 9*f - 5*r + 17, r = -148*f + 146*f + 11. Solve -2/7*y**f + 2*y - 12/7 = 0 for y.
1, 6
Let q(l) be the third derivative of -l**7/105 - 13*l**6/60 + 7*l**5/15 + 1291*l**2. Factor q(v).
-2*v**2*(v - 1)*(v + 14)
Let t(d) be the third derivative of -d**7/210 + 3*d**6/20 - 11*d**5/20 + 2*d**4/3 + 978*d**2. Factor t(y).
-y*(y - 16)*(y - 1)**2
Let 7142*g**4 - 3559*g**4 + 48 + 70*g - 3582*g**4 - 24*g**3 - 3*g**2 = 0. Calculate g.
-1, 2, 24
Let y(v) be the second derivative of v**6/30 + v**5/5 + v**4/3 + 6495*v. Suppose y(j) = 0. Calculate j.
-2, 0
Let j(f) be the first derivative of -f**4/28 + 2*f**3/21 + 113*f**2/14 - 330*f/7 - 1524. Solve j(h) = 0 for h.
-11, 3, 10
Suppose 0*f - 14 = -14*f + 56. Let m(t) be the second derivative of 0*t**2 - 4*t + 4/15*t**3 + 0*t**f + 0 + 2/75*t**6 - 1/5*t**4. Solve m(x) = 0 for x.
-2, 0, 1
Factor -105/2*g - 1/4*g**2 + 0.
-g*(g + 210)/4
Let u(l) be the first derivative of -120 - 9/7*l**2 + 0*l - 8/3*l**3 - 5/21*l**6 + 39/7*l**4 - 72/35*l**5. Suppose u(j) = 0. Calculate j.
-9, -1/5, 0, 1
Let m(s) be the second derivative of -5*s**7/42 - 5*s**6 - 277*s**5/4 - 325*s**4 - 1690*s**3/3 + 11*s + 17. Factor m(p).
-5*p*(p + 2)**2*(p + 13)**2
Factor -30 - 135*f**2 - 20*f**3 + 39*f + 58*f**2 + 17*f**3 + 71*f**2.
-3*(f - 2)*(f - 1)*(f + 5)
Suppose 0 = -10*l + 303 + 257. Let i be 3/(-7) - (-7 + 368/l). Factor 26/5*v**3 + 2/5*v**5 + i - 24/5*v**2 + 8/5*v - 12/5*v**4.
2*v*(v - 2)**2*(v - 1)**2/5
Let n(k) be the second derivative of -k**5/30 + 17*k**4/3 - 1156*k**3/3 + 3*k**2/2 + 125*k. Let x(d) be the first derivative of n(d). Factor x(z).
-2*(z - 34)**2
Suppose -12*u = -23*u. Let i(z) be the second derivative of 1/30*z**4 - 20*z - 6/5*z**2 + 1/15*z**3 + u. Let i(q) = 0. What is q?
-3, 2
Let i(o) be the third derivative of -o**7/315 + 3*o**6/5 - 162*o**5/5 + 10*o**2 + 88*o. Find s such that i(s) = 0.
0, 54
Let s(b) be the third derivative of -b**5/24 - 505*b**4/16 + 380*b**3/3 - 10*b**2 - 3*b - 3. Factor s(k).
-5*(k - 1)*(k + 304)/2
Let l(d) be the second derivative of 4/9*d**3 - 1/6*d**4 - 1/20*d**5 - 2*d + 0*d**2 + 53 + 1/90*d**6. Factor l(g).
g*(g - 4)*(g - 1)*(g + 2)/3
Let r(l) be the third derivative of l**5/160 + 56*l**4 + 200704*l**3 - 90*l**2 + 18. Let r(v) = 0. Calculate v.
-1792
Let i be 3*(-4)/60*-5. Let j be (21/(-15) + i)/((-12)/45). Determine m, given that 3/2*m + 3/2*m**4 + 3 - j*m**3 - 9/2*m**2 = 0.
-1, 1, 2
Find j, given that -76/3*j**2 + 0 + 4/3*j**3 - 88*j = 0.
-3, 0, 22
Solve 2/5*b**2 + 40 - 104/5*b = 0.
2, 50
Let x(v) = 21*v**2 + 3027*v - 393225. Let j(z) = 9*z**2 + 1516*z - 196612. Let n(r) = -9*j(r) + 4*x(r). Factor n(b).
3*(b - 256)**2
Let w = 339 - 327. Find c such that 50*c - 8*c**2 - w*c**2 + 5*c**2 + 40 = 0.
-2/3, 4
Suppose 2/17*o**3 + 0 - 964/17*o**2 + 0*o = 0. Calculate o.
0, 482
Let d = 117443 + -822081/7. Factor 4/7*i**4 + 8/7*i**3 - d*i**2 + 0 - 24/7*i.
4*i*(i - 2)*(i + 1)*(i + 3)/7
What is z in 1/4*z**5 + 5 + 22*z**2 + 3*z**4 + 69/4*z + 25/2*z**3 = 0?
-5, -4, -1
Let s be 23*138/(-1058) - 93/(-15). Factor 32/5 - 2/5*r**3 - 14/5*r**2 - s*r.
-2*(r - 1)*(r + 4)**2/5
Let v = -33 + 298. Let j = v + -260. Find x, given that 0 - 1/5*x**2 - 3*x**4 + 0*x - 7/5*x**3 - 9/5*x**j = 0.
-1, -1/3, 0
Let i = -1697853 - -8489337/5. Let m be 3 - (-1 - (-2)/2). Factor -i*t**2 - 3/5*t**m - 576/5*t - 1536/5.
-3*(t + 8)**3/5
Let u(g) = 17 + 2*g + 0*g**2 - 11*g + g**2. Let w be u(7). Determine i so that 2 - 3 + w*i**2 - 7 - 3*i - 10 = 0.
-2, 3
Let s(a) be the first derivative of -a**4 - 20*a**3 - 142*a**2 - 420*a + 1853. Factor s(t).
-4*(t + 3)*(t + 5)*(t + 7)
Let a(w) = -7*w**2 - 589*w - 1024. Let g(x) = -6*x**2 - 588*x - 1047. Let o(s) = 5*a(s) - 6*g(s). Factor o(b).
(b + 2)*(b + 581)
Find b, given that 85 + 1/4*b**2 + 89/4*b = 0.
-85, -4
Let p(n) be the second derivative of -62*n + 0 + 4/27*n**3 - 5/108*n**4 + 1/180*n**5 - 2/9*n**2. Factor p(f).
(f - 2)**2*(f - 1)/9
Let m(w) be the first derivative of 0*w**2 - 4*w**3 + 0*w + 3/8*w**4 + 41. Factor m(a).
3*a**2*(a - 8)/2
Suppose i - 48 = -44. What is n in i*n**2 - 2*n**2 + 4*n**2 + n**3 + 0*n**3 + 8*n = 0?
-4, -2, 0
Suppose 22*y + 9 = 25*y. Solve -2148*p**5 - 2*p**3 + 3*p**2 + 2151*p**5 - y*p**4 - p**3 = 0.
-1, 0, 1
Let x(q) be the first derivative of 54*q**6 + 612*q**5/5 + 345*q**4/4 + 50*q**3/3 + 532. Let x(s) = 0. What is s?
-5/6, -2/9, 0
Factor 35*n**3 - 5*n**4 - 745*n**2 + 70*n**3 + 490*n - 44*n**3 + 98*n**3 + 101*n**3.
-5*n*(n - 49)*(n - 2)*(n - 1)
Let u(g) = g**2 + 2655*g + 7958. Let h be u(-3). What is n in -60/7 + 24/7*n + 3/7*n**h = 0?
-10, 2
Let h = 181 + -176. Factor -68*l**3 - 7*l + 18*l**2 + l**h - l + 57*l**3.
l*(l - 2)*(l - 1)**2*(l + 4)
Suppose 435*c + 393 = 1061 + 1072. Suppose c*d**2 + 28/5*d + 12/5 + 4/5*d**3 = 0. What is d?
-3, -1
Let 171/7 + 1/7*d**2 + 172/7*d = 0. Calculate d.
-171, -1
Let p(h) be the first derivative of 0*h - 100/3*h**3 - 195/4*h**4 + 5/6*h**6 - 21 + 0*h**2 - 18*h**5. Determine z so that p(z) = 0.
-1, 0, 20
Let t(a) be the second derivative of a**6/960 - 7*a**5/320 + 5*a**4/32 + 32*a**3/3 + 262*a. Let g(h) be the second derivative of t(h). Factor g(c).
3*(c - 5)*(c - 2)/8
Suppose -2*h - l + 3 = 0, -l = 2*h + 2*l + 7. Suppose -3*y + h = -2*q, 5*q = q + 2*y + 8. Factor 3 + 25*p**4 + 12*p**2 - 43*p**4 + 10*p + 19*p**q + 6*p**3.
(p + 1)**3*(p + 3)
Let j = -15875 - -15880. Let b(q) be the second derivative of 0 - j*q + 0*q**3 + 0*q**2 + 1/100*q**5 + 1/60*q**4. Factor b(m).
m**2*(m + 1)/5
Let r(k) be the third derivative of 1215/2*k**3 + 0*k - 60*k**2 + 0 - 405*k**4 + 144*k**5 - 64/3*k**6. Factor r(u).
-5*(8*u - 9)**3
Let x be (4 + -8)/(-15 + (3 - -10)). Factor 0 - 24/7*y**x + 4/7*y.
-4*y*(6*y - 1)/7
Let l = 9517 + -9514. Let h(j) be the first derivative of -9*j - 1 + 3*j**2 - 3/5*j**5 + 4*j**l - 3/2*j**4. Factor h(a).
-3*(a - 1)**2*(a + 1)*(a + 3)
Let c(u) be the third derivative of -u**7/1365 + 29*u**6/260 - 17*u**5/26 + 253*u**4/156 - 28*u**3/13 - u**2 + 233. Factor c(s).
-2*(s - 84)*(s - 1)**3/13
Let q = -242750 + 242750. Let p = 83/9 + -9. Factor -p*s**2 + 0*s + q.
-2*s**2/9
Suppose -26 = -4*s + 2*o, 0 = -4*s - 5*o + 13 + 6. Let t(p) = p**2 - p - 26. Let g be t(s). Factor 4/9*y**g - 2/9*y**2 + 0 + 0*y + 2/9*y**3.
2*y**2*(y + 1)*(2*y - 1)/9
Let r(m) be the second derivative of 36/5*m**2 - 43*m + 0 + 361/30*m**4 - 76/5*m**3. Factor r(s).
2*(19*s - 6)**2/5
Let u(g) be the third derivative of -g**5/300 - 29*g**4/120 - 4*g**3 + g**2 + 439. Solve u(k) = 0.
-24, -5
Let y = 75371/23779 + -91/3397. Determine g, given that 23/7*g - 1/7*g**3 + y*g**2 + 0 = 0.
-1, 0, 23
Let k(n) be the second derivative of 0 - 3*n**2 - 1/300*n**5 + 8*n + 1/10*n**3 + 1/60*n**4. Let g(c) be the first derivative of k(c). Solve g(b) = 0 for b.
-1, 3
Let a(s) be the first derivative of -s**5/10 + 21*s**4/8 + 49*s**3 - 2401*s**2 + 28812*s - 9956. Factor a(c).
-(c - 14)**3*(c + 21)/2
Let d be 9825/(-375) - -27 - 132/(-35). Find c, given that -d + 0*c + 2/7*c**2 = 0.
-4, 4
Let a(q) = -q**3 + q**2 - q + 13. Let s be a(0). Let r be (9 - 169/s)/(-1 + -1). Solve -1/2*b**3 - 1/2*b**r + 1/2*b + 1/2*b**4 + 0 = 0 for b.
-1, 0, 1
Let z be (-478)/(-414) + 16/(-368). Let b(v) be the first derivative of 2/27*v**3 - z*v - 2 - 4/9*v**2. What is d in b(d) = 0?
-1, 5
Let t(y) = -y**3 - y**2 + 2*y + 4. Let k(x) = -7*x**3 - 461*x**2 - 10484*x + 2124. Let h(u) = 2*k(u) - 4*t(u). Factor h(p).
-2*(p + 46)**2*(5*p - 1)
Let v(f) = 13*f**2 - 4*f. Let s be (-15)/10*20/(-6) + -3. Let p(t) = s*t + 150 - 6*t**2 - 150. Let w(d) = 9*p(d) + 4*v(d). Let w(x) = 0. What is x?
0, 1
Let q be (871/1206 - 2/4) + (-2170)/(-441). Factor -q - 2/7*v**2 + 22/7*v.
-2*(v - 9)*(v - 2)/7
Let c(a) = a + 4. Let h be c(-2). Let p be (10/(-4))/(32/(-128)) - -12*352/(-429). Factor 0 - 6/13*f**3 + 0*f - 4/13*f**4 + p*f**5 + 0*f**h.
2*f**3*(f - 3)*(f + 1)/13
Let u(w) be the first derivativ