172. Let x(f) = -4*j(f) + 5*v(f). Factor x(m).
5*(m - 8)*(m - 4)*(m - 1)**2
Let p(k) be the third derivative of -k**6/840 + 65*k**5/84 - 3749*k**4/24 - 26569*k**3/42 + k**2 + 1062. Factor p(h).
-(h - 163)**2*(h + 1)/7
Let o(f) be the third derivative of 5*f**8/336 - f**7/14 - 23*f**6/24 - 11*f**5/4 - 35*f**4/12 + f**2 + 5041*f. Factor o(p).
5*p*(p - 7)*(p + 1)**2*(p + 2)
Factor 2/5*o**3 - 2/5*o - 94/5 + 94/5*o**2.
2*(o - 1)*(o + 1)*(o + 47)/5
Factor -2*i**3 - 1508423 - 876142 - 187974*i - 8705901 - 1062*i**2.
-2*(i + 177)**3
Let t be (-6)/(-3) + 32/4. Let 2*m**4 - 612*m + 6*m**4 + 55*m**3 + 506*m**2 - t + 52*m**3 + 29*m**3 + 172 = 0. What is m?
-9, 1/2
Let o(x) be the third derivative of -41*x**2 + 0*x + 0 - 1/20*x**4 + 0*x**5 + 1/300*x**6 - 2/15*x**3. Let o(s) = 0. Calculate s.
-1, 2
Let h(u) be the first derivative of -1/27*u**3 - 676/9*u + 26/9*u**2 - 203. Suppose h(d) = 0. Calculate d.
26
Let w(o) be the first derivative of -1/18*o**3 + 1/4*o**2 + 80 + 5/3*o. Let w(q) = 0. What is q?
-2, 5
Let m(g) = 3*g**2 + g - 1. Let k be m(-2). Let w = k + -6. Determine t, given that 31*t**3 - 4*t**5 - 2*t**5 - 4*t**3 - 3*t + 33*t**4 + w*t**2 + 18*t**5 = 0.
-1, 0, 1/4
Suppose 0 = 2*o + 4*t - 22, -2*o + 0*o - 2*t + 12 = 0. Let x be 637 - (0 - -1 - -1 - o). Factor -3*a**3 - x*a**2 + 2*a**3 + 635*a**2.
-a**2*(a + 1)
Let b(w) = 5*w - 18. Let y be b(4). Let l be 5/(35/y) - 180/(-105). Solve 9*v**3 - v + 1 + l - v**2 - 2*v**2 - 8*v**3 = 0 for v.
-1, 1, 3
Let r(a) be the first derivative of 3*a**4/4 - 503*a**3 + 94500*a**2 + 190512*a - 188. Factor r(n).
3*(n - 252)**2*(n + 1)
Let q be ((-2)/(-60))/(1008/7980). Let p(m) be the second derivative of 0*m**2 - 1/18*m**3 + 0 + q*m**4 + 6*m. Factor p(r).
r*(19*r - 2)/6
Let m(p) be the third derivative of p**5/450 - 179*p**4/18 + 160205*p**3/9 - 1598*p**2. Determine r, given that m(r) = 0.
895
Let y(m) be the first derivative of 0*m - 12/5*m**2 + 2*m**3 - 3/20*m**4 + 79 - 3/25*m**5. Find l, given that y(l) = 0.
-4, 0, 1, 2
Factor 66*n - 542*n**2 + 114*n**3 + 802*n + 97*n**4 - 98*n**4 - 156*n - 19*n**3.
-n*(n - 89)*(n - 4)*(n - 2)
Let x be 2/173 - (-1732628)/14228385. Find c such that x*c**2 + 32/5*c + 384/5 = 0.
-24
Let t(i) be the second derivative of 4*i**3 + 5*i**4 + 7/10*i**6 - 27*i + 27/10*i**5 + 1/14*i**7 + 0 + 0*i**2. Suppose t(b) = 0. What is b?
-2, -1, 0
Let a(q) be the third derivative of 8/3*q**4 + 2*q**2 + 0*q - 16 + 8/15*q**5 + 0*q**3 + 1/30*q**6. Factor a(n).
4*n*(n + 4)**2
Let h = -301 + 481. Let j = h + -359/2. What is s in s - 1/2*s**4 + 1/2*s**5 - 3/2*s**3 + j*s**2 + 0 = 0?
-1, 0, 1, 2
Let f(o) be the first derivative of 2*o**5/5 + 39*o**4/2 + 144*o**3 - 256*o**2 - 8311. What is i in f(i) = 0?
-32, -8, 0, 1
Let u = 71 + -67. Find i such that -5*i**2 + u*i**2 + 32 + 2*i**2 + i**2 - 20*i = 0.
2, 8
Let v be (-4 - 576/(-20))/(7/280). Let s = v + -990. Suppose 4/5*b + 0 - 6/5*b**4 + s*b**2 - 8/5*b**3 = 0. What is b?
-2, -1/3, 0, 1
Let z be 396/132*14/30. Let w(m) be the second derivative of -19*m - 2/5*m**3 + 0 + 1/30*m**4 - z*m**2. Solve w(o) = 0.
-1, 7
Let a(o) be the third derivative of -o**8/20160 - o**7/140 - 17*o**6/180 - o**5/15 + 19*o**3/6 - 57*o**2. Let r(p) be the third derivative of a(p). Factor r(m).
-(m + 2)*(m + 34)
Determine q so that -115/4 + 231/8*q - 1/8*q**2 = 0.
1, 230
Let k be (-406890)/(-102750) + (2/(-2) + -1 - 1). Factor k*x**2 - 26/25*x + 2/25.
2*(x - 1)*(12*x - 1)/25
Suppose 7 = -y + 3*h - 5, -5*y - 5 = -4*h. Factor -77*j - 5*j**4 - 490 - 440*j - 45*j**2 + 57*j - 135*j + 55*j**y.
-5*(j - 7)**2*(j + 1)*(j + 2)
Let u(f) = f**2 + 9*f + 23. Let a be u(-7). Let k = -7 + a. Suppose 4*r**2 - 4*r - 3*r**k - 4*r**2 - r**3 + 2*r = 0. What is r?
-2, -1, 0
Let w = -418273/11 - -38025. Solve 1350/11*p - 90/11*p**2 - 6750/11 + w*p**3 = 0.
15
Let b(n) be the first derivative of n**3/12 - 63*n**2/4 + 3969*n/4 + 5862. Factor b(x).
(x - 63)**2/4
Let y be (((-15)/(-9))/(45/54))/(56 - 42). Factor 5292*t - y*t**4 - 27783 + 12*t**3 - 378*t**2.
-(t - 21)**4/7
Let b(g) = -6*g**2 - 4100*g - 1366. Let q be b(-683). Factor -2/3*z**5 + q*z + 0 - 682*z**3 + 1922/3*z**2 + 42*z**4.
-2*z**2*(z - 31)**2*(z - 1)/3
Suppose -19152*h + 30 = -19142*h. Factor 0 + 1/3*r**5 + 0*r - 2/3*r**h + 1/3*r**4 + 0*r**2.
r**3*(r - 1)*(r + 2)/3
Solve 18*z**3 + 29*z**3 + 66*z**2 + 7*z**2 - 13*z**2 + z**5 + 12*z**4 = 0.
-5, -4, -3, 0
What is d in 222/5 + 16*d + 2/5*d**2 = 0?
-37, -3
Let b(c) be the second derivative of 20/3*c**3 - 76*c + 0 - 1/6*c**4 + 21*c**2. Find q such that b(q) = 0.
-1, 21
Factor 50*o - 210*o - 8*o + 36*o**3 - 8*o**3 + 204*o**2 - 64.
4*(o - 1)*(o + 8)*(7*o + 2)
Suppose -60*g + g**5 - 30 - 312504*g**2 + 11*g**3 + 9*g**4 + 2 + 312475*g**2 = 0. Calculate g.
-7, -2, -1, 2
Let i(f) be the first derivative of 4*f**5/5 + 2*f**4 - 196*f**3 + 1368*f**2 - 2160*f - 2929. Factor i(p).
4*(p - 6)**2*(p - 1)*(p + 15)
Let h(q) be the second derivative of -q**6/15 + 13*q**4/6 + 4*q**3 - 708*q. Solve h(s) = 0.
-3, -1, 0, 4
Let p be (-137 - (-18 - -1))*(-3)/(-42) - -10. Let -2/7*w**5 + 12/7*w**3 + 8/7*w**4 - 8/7*w**2 + 0 - p*w = 0. What is w?
-1, 0, 1, 5
Suppose -3*r - 20 + 29 = 0. What is s in s**3 + 20*s**2 + 26*s + 63 - 115 - r*s**3 + 8 = 0?
-2, 1, 11
Let r(b) be the second derivative of -3*b**5/20 + 35*b**4/4 - 156*b**3 + 1242*b**2 + 111*b. Factor r(m).
-3*(m - 23)*(m - 6)**2
Let c be (-47)/((-20727)/9723) - (-10)/(-14). Let 4/3*q**2 + 112/3 + c*q = 0. Calculate q.
-14, -2
Let i(y) be the first derivative of -3/5*y**3 + 474/5*y - 219 - 141/2*y**2. Factor i(l).
-3*(l + 79)*(3*l - 2)/5
Let v(b) be the third derivative of -b**8/448 - b**7/280 + 3*b**6/160 + b**5/80 - b**4/16 + 3050*b**2. Solve v(i) = 0.
-2, -1, 0, 1
Let u(m) be the first derivative of -1/180*m**6 - 10/3*m**3 - 27 + 0*m**2 + 1/4*m**4 + 1/30*m**5 + 0*m. Let y(c) be the third derivative of u(c). Factor y(g).
-2*(g - 3)*(g + 1)
Let r(k) = -80*k**2 - 88320*k - 65003170. Let g(l) = -13*l**2 - 14720*l - 10833864. Let j(n) = -25*g(n) + 4*r(n). Factor j(c).
5*(c + 1472)**2
Let x(j) be the third derivative of -74*j**7/735 + 187*j**6/210 - 4*j**5/5 - 146*j**4/21 + 32*j**3/21 + 164*j**2. Suppose x(w) = 0. Calculate w.
-1, 2/37, 2, 4
Factor 2/7*o - 176/7*o**2 - 2/7*o**3 + 176/7.
-2*(o - 1)*(o + 1)*(o + 88)/7
Let i(b) = 2*b**2 - 386*b - 6828. Let d(c) = -7*c**2 + 1546*c + 27313. Let s(q) = -3*d(q) - 13*i(q). Let s(l) = 0. Calculate l.
-15, 91
Let y(v) be the third derivative of -8/9*v**3 - 1/270*v**5 + 95*v**2 + 11/108*v**4 + 0*v + 0. Factor y(o).
-2*(o - 8)*(o - 3)/9
Factor 1 - 5/2*j**3 + 1/4*j**5 + 5*j**2 + 0*j**4 - 15/4*j.
(j - 1)**4*(j + 4)/4
Suppose -180 = -251*n - 264*n - 338*n + 763*n. Find c, given that 1/5*c - 1/5 - 1/5*c**3 + 1/5*c**n = 0.
-1, 1
Let v = 778 + -453. Let m be -7 + v/52 + 26/24. Factor -5/3*u + 1 + 1/3*u**2 + m*u**3.
(u - 1)**2*(u + 3)/3
Let y(d) be the third derivative of -d**7/1260 + 33*d**6/20 - 88801*d**5/90 + 9768*d**4 - 350464*d**3/9 - 50*d**2 - 2*d - 3. Determine u so that y(u) = 0.
2, 592
Let i(f) be the second derivative of -f**4/54 - 1274*f**3/27 - 405769*f**2/9 - 1579*f. Factor i(k).
-2*(k + 637)**2/9
Let p be 4*2 - (-168)/(-28). Factor -5*k**3 - 870*k**2 - 1 + 894*k**p + k**3 + 1.
-4*k**2*(k - 6)
Let u(y) = y**2 + 35*y + 22. Let z be u(-35). Let i be ((-4)/z)/(2 + (-23)/11). Let 3/8*p**3 + 3/8*p + 0 - 3/4*p**i = 0. Calculate p.
0, 1
Let x(z) be the second derivative of z**4/42 - 2302*z**3/21 + 1324801*z**2/7 - z + 2056. Factor x(p).
2*(p - 1151)**2/7
Let f(n) be the third derivative of n**6/24 + 25*n**5/3 + 165*n**4/8 + 1531*n**2. Factor f(r).
5*r*(r + 1)*(r + 99)
Suppose 10*s = 100, -214*o + 215*o - 2*s = -18. Factor -3/8*h**o + 0*h + 3/8.
-3*(h - 1)*(h + 1)/8
Let n(l) be the third derivative of l**5/180 + 17*l**4/36 - 92*l**3/3 + l**2 + 212*l - 3. Suppose n(p) = 0. What is p?
-46, 12
Suppose 2474 = 27*m - 25*m. Factor 4*p**3 - 4*p**2 + 1239*p - 2*p**3 - m*p.
2*p*(p - 1)**2
Let m = -1054921/30 - -175821/5. What is r in 0 + 10/3*r - 2*r**2 + m*r**3 = 0?
0, 2, 10
Let h = 211/132 - 43/132. Let h*t**2 - 2/11*t**3 - 24/11 - 8/11*t = 0. Calculate t.
-1, 2, 6
Let r be (2 - 0)/(-22)*-4. Suppose 41662 = 3*o + 41656. Factor -r*h**o + 10/11*h**4 + 0 + 0*h + 6/11*h**3.
2*h**2*(h + 1)*(5*h - 2)/11
Suppose 2*z - 3*q = 158, -q + 168 - 10 = 2*z. Let