**3. Solve b(i) = 0 for i.
-1, -2/3, 0
Let w(i) be the second derivative of -i**6/720 - i**5/90 + i**4/36 + 4*i**3/9 - 57*i**2/2 + 7*i + 7. Let l(v) be the first derivative of w(v). Factor l(p).
-(p - 2)*(p + 2)*(p + 4)/6
Let p(j) = 66*j**2 - 1130*j + 1144. Let l(c) = -74*c**2 + 1128*c - 1144. Let o(k) = -8*l(k) - 9*p(k). Solve o(t) = 0 for t.
1, 572
Let n(o) be the second derivative of 1/6*o**4 + 7/6*o**3 - o**2 - 2 + 4*o - 7/20*o**5. Factor n(l).
-(l - 1)*(l + 1)*(7*l - 2)
Let l(a) be the first derivative of a**6/4 - 39*a**5/5 + 51*a**4/2 + 13*a**3 - 207*a**2/4 + 199. Solve l(z) = 0 for z.
-1, 0, 1, 3, 23
Suppose 686*b - 650 = 1408. Suppose -12 - 11*f**2 + 1/2*f**b - 47/2*f = 0. What is f?
-1, 24
Determine i, given that 102/7*i - 585/7 + 3/7*i**2 = 0.
-39, 5
Factor 14*q + 26*q - 188*q**4 + 201*q**4 - 17*q**3 - 4*q**2 - 13*q**3 - q**5.
-q*(q - 10)*(q - 2)**2*(q + 1)
Let m(f) = 16*f - 158. Let c be m(10). Suppose -2*q**2 + 6*q**2 - q**c - 47*q + 46*q + q**3 - 3 = 0. What is q?
-3, -1, 1
Let w(m) be the first derivative of -m**5 + 455*m**4/4 - 3525*m**3 + 10125*m**2/2 + 727. Factor w(n).
-5*n*(n - 45)**2*(n - 1)
Let o be (-189)/18 - (138 + -149). Factor -o*k**2 - 23*k - 529/2.
-(k + 23)**2/2
Suppose 0 = -5*g - 5*s - 8 + 13, 0 = 4*g + 2*s - 6. Factor -4*o**3 - 4*o**3 - 12*o**3 - 2*o**4 + 128 + 8*o**3 - 32*o - 10*o**3 - 72*o**g.
-2*(o - 1)*(o + 4)**3
Let y(v) be the second derivative of -3*v**6/80 + 417*v**5/160 - 11*v**4/8 - 23*v**3/4 - 2*v + 934. What is o in y(o) = 0?
-2/3, 0, 1, 46
What is b in 2*b**2 - 318 - 628 - 430 - 1907*b + 533*b = 0?
-1, 688
Factor -26*j**3 - 34*j**3 - 70*j**2 - 5*j**4 + 2*j**2 + 13*j**2 + 0*j**4.
-5*j**2*(j + 1)*(j + 11)
Let k(m) be the first derivative of m**3/4 - 11679*m**2/4 + 45466347*m/4 + 11731. Factor k(t).
3*(t - 3893)**2/4
Determine f so that 55*f**3 + 5/2*f**4 - 730*f**2 - 1920 + 2180*f = 0.
-32, 2, 6
Factor -3/4*k**3 + 7/4*k**4 + 3/2 - 21/4*k**2 - 5/4*k.
(k - 2)*(k + 1)**2*(7*k - 3)/4
Let g(n) = 14*n**3 + 15*n**2 + 23*n + 12. Let i(m) = -17*m**3 - 18*m**2 - 25*m - 12. Let z(b) = -6*g(b) - 5*i(b). Solve z(a) = 0.
-3, -1, 4
Factor -1404/5*i - 69/5*i**2 + 0 + 3/5*i**3.
3*i*(i - 36)*(i + 13)/5
Let k = 455 - 452. Let b(c) = -c**3 + 4*c**2 + 3*c - 8. Let i be b(4). Factor 0*z**i + 9*z**k + 0*z**4 + 2*z**4 - 5*z**4.
-3*z**3*(z - 3)
Find u such that 189751712/5 - 1572528/5*u + 4344/5*u**2 - 4/5*u**3 = 0.
362
Let o(d) = 5*d - 149. Let l be o(29). Let g be (l/5)/((66/55)/(-6)). Factor -12/5*b**2 + 0 + 0*b + 0*b**g - 18/5*b**3 + 6/5*b**5.
6*b**2*(b - 2)*(b + 1)**2/5
Suppose 212*g - 211*g + 1 = 0. Let t be (g + -1 + 2)/1. Determine l so that -1/5*l**2 - 2/5*l**3 - 1/5*l**4 + 0*l + t = 0.
-1, 0
Factor -81/2 - 161/4*n + 1/4*n**2.
(n - 162)*(n + 1)/4
Let y = -630479/60 + 10508. Let a(i) be the second derivative of y*i**6 + 13/12*i**3 + 0 + 7/40*i**5 + 19*i + i**2 + 5/8*i**4. Determine l so that a(l) = 0.
-4, -1
Let 30 + 9*i - 1/3*i**2 = 0. What is i?
-3, 30
Let m(i) be the second derivative of -i**6/15 - 29*i**5/10 - 85*i**4/3 - 364*i**3/3 - 264*i**2 - 3573*i. Factor m(j).
-2*(j + 2)**2*(j + 3)*(j + 22)
Let q(z) be the third derivative of -z**7/1050 - z**6/75 - 11*z**5/150 - z**4/5 - 3*z**3/10 - 120*z**2 - 3*z. Find y, given that q(y) = 0.
-3, -1
Let c(p) = 46*p - 21. Let z be c(0). Let d be 2 - (-4 - 119/z). Factor 5/3 - d*x**2 + 4/3*x.
-(x - 5)*(x + 1)/3
Let w be (-46)/575 + 7062/5775. Factor w*q + 2/7*q**2 + 8/7.
2*(q + 2)**2/7
Factor -269*h + 16*h**2 - 90 + 374*h - 88*h**3 + 15*h**4 + 3*h**3 + 96*h**2 - 17*h**2.
5*(h - 3)**2*(h + 1)*(3*h - 2)
Let y(l) be the first derivative of l**4/8 + 53*l**3/2 + 8427*l**2/4 + 148877*l/2 + 1104. Let y(n) = 0. Calculate n.
-53
Let x(p) be the first derivative of -5*p**3/3 - 1735*p**2/2 - 1730*p + 1496. What is r in x(r) = 0?
-346, -1
Suppose -4962*q + 5063*q - 404 = 0. What is k in 1/2*k**2 - 9/2 + q*k = 0?
-9, 1
Let v(h) be the third derivative of h**6/160 - 39*h**5/80 - h**4/32 + 39*h**3/8 + h**2 + 22. Solve v(j) = 0.
-1, 1, 39
Suppose -45 + 271/4*h - 3/8*h**2 = 0. Calculate h.
2/3, 180
Suppose k - 34 + 40 = 0. Let s(g) = g**2 + 4*g - 1. Let a be s(k). Factor -4*t**4 - t**2 - a*t**2 + 4*t**2 - 12*t**3.
-4*t**2*(t + 1)*(t + 2)
Let k be -3683 - -3685 - (-1 + 1). Factor -3/5*g**3 + 33/5*g**k + 39/5 + 15*g.
-3*(g - 13)*(g + 1)**2/5
Let o be (-63)/(-924)*121*(4 - 0). What is s in -792*s - 3/2*s**4 - 864 - o*s**3 - 507/2*s**2 = 0?
-8, -3
Determine v, given that -7*v**2 - 1/6*v**4 + 26/3*v - 7/2 + 2*v**3 = 0.
1, 3, 7
Let m = -1 + 1299. Let v = m + -2547/2. Solve -7*p + v + 1/2*p**2 = 0.
7
Let d(j) = 12*j**2 + 1735*j - 723. Let g be d(-145). Find a such that -2/3*a + 0 - 2/9*a**g = 0.
-3, 0
Suppose 1/10*l**2 - 165/2 + 412/5*l = 0. Calculate l.
-825, 1
Let d be 252/1470*5/(-158). Let h = 1091/2765 - d. Determine l so that -18/5*l - h*l**2 - 16/5 = 0.
-8, -1
Suppose 23*m + 18*m - 34 + 8 = 28*m. Factor -12/7*o + 3/7*o**3 + 72/7 - 18/7*o**m.
3*(o - 6)*(o - 2)*(o + 2)/7
Let n be 22 + (-3 + 3)/4. Let x = 31 - n. Find t, given that 20 - 25*t - 9*t**2 + 5*t**2 + 0*t**2 + x*t**2 = 0.
1, 4
Suppose -21*t - 2 = 25*t - 94. Let -2/7*s**t - 2/7*s + 4/7 = 0. What is s?
-2, 1
Let f(m) = -20*m**2 - 1 + 0 + 18*m - 3. Let c = 1429 + -1432. Let q(d) = -20*d**2 + 18*d - 4. Let v(u) = c*q(u) + 4*f(u). Let v(z) = 0. Calculate z.
2/5, 1/2
Let o(p) = 9*p**2 - 34*p + 37. Let f(k) = -29*k**2 - 7 + 12*k**2 - 32 + 33*k + 9*k**2. Let c(g) = -4*f(g) - 3*o(g). What is y in c(y) = 0?
3
Let c = -3463 - -3463. Let f(w) be the third derivative of -2*w**2 + 1/2*w**3 + c*w**4 + 1/70*w**7 - 1/10*w**5 + 0*w + 0*w**6 + 0. Factor f(z).
3*(z - 1)**2*(z + 1)**2
Let l(v) = 124 - 5*v**2 + 125 + 16*v**2 - 359 + 134 - 35*v. Let b(q) = -4*q**2 + 12*q - 8. Let m be (-53)/(-3) - 4/6. Let u(y) = m*b(y) + 6*l(y). Factor u(a).
-2*(a - 1)*(a + 4)
Suppose 0 = -3*h - 3*h + h. Suppose 3*i - 45 + 33 = h. Factor -53*r**4 - 2*r**5 - 1 - 2*r - 1 + 51*r**4 + 4*r**2 + i*r**3.
-2*(r - 1)**2*(r + 1)**3
Let n(x) be the second derivative of 3*x**5/100 - 9*x**4/10 - 19*x**3/10 + 11872*x. Suppose n(r) = 0. Calculate r.
-1, 0, 19
Let c = -179 + 184. Solve -138*b**4 + 0 + 0 + 4*b**c - 8*b + 12*b**2 + 4*b**3 + 126*b**4 = 0 for b.
-1, 0, 1, 2
Suppose -9*p = -10*p. Suppose p = -0*w - 4*w + 12. Factor 6*v**2 + 23*v**3 + 0*v**5 + 3*v**5 + 3 - 42*v**3 - 9*v**4 + 25*v**w - 9*v.
3*(v - 1)**4*(v + 1)
Suppose -10800*v**2 + 2126*v + 2068*v**3 + 10440*v + 200*v**4 - 902*v + 4*v**5 = 0. What is v?
-27, 0, 2
Let s(u) be the first derivative of -10*u**3/21 + 66*u**2/7 - 368*u/7 + 1238. Factor s(t).
-2*(t - 4)*(5*t - 46)/7
Let n(l) be the first derivative of 21 - l**4 + 8*l**2 - 4/3*l**3 + 16*l. Find y such that n(y) = 0.
-2, -1, 2
Let s(r) be the second derivative of r**5/180 + r**4/8 + 4*r**3/9 - 99*r**2/2 - 93*r. Let j(y) be the first derivative of s(y). Factor j(u).
(u + 1)*(u + 8)/3
Let n = -14435 - -14441. Let p(f) be the first derivative of -7/4*f**4 + 8/3*f**3 - 1/12*f**n - 9/4*f**2 + 25 + 3/5*f**5 + f. Determine x so that p(x) = 0.
1, 2
Let k = -5361 + 32167/6. Let b(v) be the third derivative of -k*v**4 + 1/15*v**5 + 0 + 0*v**3 + 2*v**2 + 0*v. Suppose b(m) = 0. Calculate m.
0, 1
Let 118/5*r**2 + 0 - 88/5*r - 32/5*r**3 + 2/5*r**4 = 0. What is r?
0, 1, 4, 11
Let g be 1*(-4)/24 + 1155/18. Let o(s) = -s**2 + 63*s + 68. Let f be o(g). Let -32/3*j + 0 + 2*j**3 + 1/3*j**f + 0*j**2 = 0. Calculate j.
-4, 0, 2
Let x be (-35 - -39)*(-3)/(-4). Let m(h) = -h**3 - 14*h**2 - 50*h - 46. Let f(a) = a**3 + 13*a**2 + 49*a + 45. Let k(s) = x*m(s) + 2*f(s). Factor k(w).
-(w + 2)**2*(w + 12)
Let k = 2135 - 1199. Let f = -1871/2 + k. Factor 3/10 - 7/5*c - f*c**2.
-(c + 3)*(5*c - 1)/10
Let l(c) be the first derivative of -2*c**5/15 + 10*c**4/3 - 218*c**3/9 + 54*c**2 - 48*c + 3418. Find x such that l(x) = 0.
1, 6, 12
Let y be ((-390)/(-24))/(-13) - 65/(-20). Let s(b) be the second derivative of -1/18*b**4 + 10*b + 0*b**y - 1/9*b**3 + 0. Factor s(v).
-2*v*(v + 1)/3
Factor 0*q + 105/4*q**2 + 0 - 25/2*q**3 + 5/4*q**4.
5*q**2*(q - 7)*(q - 3)/4
Suppose -3 - 2 = -l. Suppose 0*x + 10 = l*x. Factor -g**2 + 0 + 3*g**3 - g**3 - 5*g**x + 8.
2*(g - 2)**2*(g + 1)
Let v be 10*((-5)/(-3) - 2)/(5000/(-2400)). Factor -32/5 + v*m + 4/5*m**2.
4*(m - 2)*(m + 4)/5
Let d(v) be the third derivative of -3/8*v*