 + 1618. Determine f, given that 0 + 0*f**3 + 0*f + 4/7*f**4 - p*f**2 = 0.
-3, 0, 3
Let w(u) be the third derivative of 0 + 1/24*u**6 + 46*u**2 + 0*u**3 + 1/21*u**7 - 1/6*u**5 - 5/336*u**8 - u + 0*u**4. Let w(l) = 0. What is l?
-1, 0, 1, 2
Let w = 118964 - 118964. Let 2/5*q**2 + w - 36/5*q = 0. Calculate q.
0, 18
Let d(r) = -8*r - 245. Let z be d(-29). Let a(u) = -2*u**2 - 45*u + 73. Let x(c) = c**2 + 23*c - 36. Let b(m) = z*x(m) - 6*a(m). Suppose b(v) = 0. Calculate v.
-30, 1
Let m(o) be the third derivative of o**6/30 + 7*o**5/5 + 71*o**4/6 + 34*o**3 + 694*o**2. Find c such that m(c) = 0.
-17, -3, -1
Suppose 599 - 1178 = -93*p - 579. Determine d so that -3/5*d**4 - 27/5*d + 51/5*d**2 - 21/5*d**3 + p = 0.
-9, 0, 1
Factor -411*t + 50*t**3 + 78*t - 78 - 77*t**3 - 102*t - 384*t**2.
-3*(t + 1)*(t + 13)*(9*t + 2)
Suppose -180 = -11*o - 25*o. Find i, given that 25*i**3 - 220*i**5 - 42*i + 22*i + 215*i**o = 0.
-2, -1, 0, 1, 2
Let o(q) be the second derivative of 1152*q**2 + 38 + 4897/3*q**4 + 6/5*q**6 + 426/5*q**5 - 2272*q**3 + q. Factor o(g).
4*(g + 24)**2*(3*g - 1)**2
Let s(h) be the second derivative of 7 - 20*h**2 - 1/6*h**4 - 16/3*h**3 + 1/10*h**5 + 2*h. Factor s(f).
2*(f - 5)*(f + 2)**2
Let t(p) = -p**3 - p**2 - 2*p. Let j(s) = -9*s**3 - 9*s**2 - 15*s. Suppose -4*b = -8*b - 4. Let i be -8 + 1 + (2 - b). Let g(l) = i*j(l) + 33*t(l). Factor g(d).
3*d*(d - 1)*(d + 2)
Suppose -2*x + 1596 = -5*y + 8*y, -y = 5*x - 3990. Factor -868*w**2 + 32 + 61*w**3 - 7*w**4 + 1516*w**2 - x*w**2 + 64*w.
-(w - 4)**2*(w - 1)*(7*w + 2)
Let o(z) be the second derivative of -49923*z**6/20 + 7353*z**5/4 - 10573*z**4/24 + 95*z**3/3 - z**2 + 282*z + 3. Find v such that o(v) = 0.
1/43, 2/9
Suppose -2*y + 4*q - 3 = -5, 4*y - 5*q = -11. Let u = y + 11. Solve 3*j**u - 7*j**2 - j**4 + 0*j**4 + 5*j**2 = 0.
-1, 0, 1
Let z be ((-6)/(-9))/(44/36 - 1). Suppose 8 - 282*p + 207*p + z*p**3 + 72*p**2 - 8 = 0. Calculate p.
-25, 0, 1
Let x = 198 + -53. Factor -38 - 5*z**4 - x*z**2 - 6 - 160*z + 21 - 50*z**3 - 37.
-5*(z + 1)**2*(z + 2)*(z + 6)
Suppose -2*d + 110 + 44 = 0. Let x = d + -75. Suppose 0*g**2 - 4*g - 2 + 2*g**2 + 3*g**2 + g**x = 0. Calculate g.
-1/3, 1
Let b(l) = -3*l**3 - 17*l**2 + 6*l - 1. Let c be b(-6). Let v be 32/15 + (-39)/(-45) + c. Factor 4*j - 4*j - 546*j**v + 8*j - 12*j**3 + 542*j**2.
-4*j*(j + 1)*(3*j - 2)
Let l(q) be the first derivative of q**6/15 - 3*q**5/2 - 31*q**4/4 + 26*q**3/3 + 87*q**2/2 - 73. Let w(k) be the second derivative of l(k). Factor w(a).
2*(a - 13)*(a + 2)*(4*a - 1)
Let r = 209 + -209. Suppose -2*u = v + 2*v + 3, -5*u - 5*v - 5 = r. Factor 1/3*f**2 + 0*f - 1/2*f**4 - 5/6*f**3 + u.
-f**2*(f + 2)*(3*f - 1)/6
Solve 24*v**4 - 14*v**4 - 11*v**4 - 120*v**2 - 21*v**3 - 279*v + 71*v = 0 for v.
-13, -4, 0
Let n = -537 + 1612/3. Let w = -1584 - -1589. Find g, given that 2/3*g + 5/3*g**2 - 1/3*g**w + 0 + g**3 - n*g**4 = 0.
-1, 0, 2
Suppose 17 = -y - 9*z + 5*z, 4*y + 3*z + 3 = 0. Let a = -4/219 - -239/1095. What is q in 1/5*q**4 + 0 - a*q**2 + 4/5*q**y - 4/5*q = 0?
-4, -1, 0, 1
Let g(b) be the third derivative of -2*b**7/105 + 2*b**6/15 + b**5/3 - 6*b**4 + 24*b**3 + 1382*b**2. Factor g(s).
-4*(s - 3)*(s - 2)**2*(s + 3)
Let f(i) be the first derivative of 9*i**3 - 3/4*i**4 - 60 - 81/2*i**2 + 81*i. Let f(g) = 0. Calculate g.
3
Let j = -479 - -69. Let f = -407 - j. Let -4/3*c**2 + 4/3*c**4 + 2/3*c + 0 - 2/3*c**f = 0. Calculate c.
-1, 0, 1/2, 1
Suppose -18 = -15*v + 12. Let y = -649/2 - -334. Determine u so that y*u**v + 1/2 - 9/2*u**3 - 11/2*u = 0.
1/9, 1
Let s(y) = -2*y**3 - 188*y**2 + 427*y - 192. Let l(b) = -9*b. Let m(p) = 10*l(p) + 2*s(p). Factor m(d).
-4*(d - 1)**2*(d + 96)
Suppose 42*c + 25 = 3*y + 37*c, 3 - 7 = 2*c. Find b such that 0*b**4 + 6/5*b**3 + 0*b + 4/5*b**2 + 0 - 2/5*b**y = 0.
-1, 0, 2
Factor 7/2*k**2 - 1185/2*k + 169.
(k - 169)*(7*k - 2)/2
Let b = 177041/2 - 88510. Factor -b*z**2 + 15 - 99/2*z.
-3*(z + 5)*(7*z - 2)/2
Let u(l) be the second derivative of l**4/48 + 5*l**3/4 - 8*l**2 + 11*l + 20. Factor u(j).
(j - 2)*(j + 32)/4
Let i(b) be the third derivative of 5*b**2 - 8 + 0*b - 1/70*b**7 + 0*b**3 + 19/20*b**5 - 7/4*b**4 - 1/10*b**6. Determine c, given that i(c) = 0.
-7, 0, 1, 2
Suppose 0 = -d - 3*s - 7, -4*d + 2*s + 22 - 8 = 0. Let 41*o - 3*o**2 - 2*o**d - o + 45 = 0. What is o?
-1, 9
Let d(m) be the first derivative of -1/3*m**3 - 2/5*m**5 + 28 + 9/4*m**4 - 9*m - 21/2*m**2. Factor d(n).
-(n - 3)**2*(n + 1)*(2*n + 1)
Let y = 1603 - 1691. Let n be 396/y*4/(-9). Solve 4/5*m - 2/5*m**4 - 4/5*m**3 + 8/5*m**n - 6/5 = 0 for m.
-3, -1, 1
Let z = -526515 + 526518. Suppose 1553/5*v**z + 16/5*v**5 + 38/5 + 1264/5*v**2 + 648/5*v**4 + 381/5*v = 0. What is v?
-38, -1, -1/4
Let p(d) = 32*d**2 - 2*d - 6. Let m be p(-2). Let u = m - 624/5. Suppose 1/5*w**2 + 9/5 - u*w = 0. Calculate w.
3
Let j be ((-120)/(-45))/((-8)/(-12)) - 1. Let p(l) be the second derivative of 0 - l - 1/21*l**j + 1/42*l**4 - 2/7*l**2. Factor p(f).
2*(f - 2)*(f + 1)/7
Let x = 15736/71217 - -10/7913. Suppose 4/9*r**2 - 2/9 - x*r**4 - 4/9*r**3 + 2/9*r**5 + 2/9*r = 0. What is r?
-1, 1
Let h = -13 + 15. Suppose 3*a - 15 = 0, h*k - 6*a + a + 21 = 0. Find o, given that -1 + 25*o**2 + 7 - 5*o**k - 25*o - 5*o**3 + 4 = 0.
1, 2
Suppose 0 = -16*c + 624 + 224. Let p(l) = 7*l - 369. Let m be p(c). Suppose 9/2*f**m + 2 - 10*f = 0. What is f?
2/9, 2
Let l = -4220 - -4223. Let d be 10/(2/5*40). Let -7/8*v**5 + 5/8*v**2 + 9/8*v**l - 1/4*v - d*v**4 + 0 = 0. Calculate v.
-1, 0, 2/7, 1
Suppose -23*p**5 + 314*p**2 - 34*p**5 + 52*p**4 - 38*p**5 + 42*p**4 + 81*p**5 - 246*p**3 - 196*p + 48 = 0. What is p?
1, 12/7, 2
Let k(h) be the first derivative of -h**6/90 + 179*h**5/120 + 15*h**4/8 - 28*h**3/3 + 183. Let y(u) be the third derivative of k(u). Factor y(c).
-(c - 45)*(4*c + 1)
Suppose 4*v + 2*m + 15 = 11, 0 = 16*v - 4*m - 80. Suppose 0*g + 0 + 1/2*g**v + 4*g**2 = 0. Calculate g.
-8, 0
Let h(v) be the third derivative of 56*v**2 + 1/210*v**7 + 1/120*v**6 + 0*v + 0*v**4 - 1/30*v**5 + 0*v**3 + 0. Factor h(g).
g**2*(g - 1)*(g + 2)
Let j(g) be the third derivative of g**6/540 + g**5/270 - 5*g**4/6 - 119*g**2 - 2. Factor j(r).
2*r*(r - 9)*(r + 10)/9
Let a = 403/1215 - 32/243. Let x(i) be the third derivative of 0*i - a*i**5 - i**3 + 5/8*i**4 + 0 + 14*i**2 + 1/40*i**6. Solve x(p) = 0 for p.
1, 2
Let s = 554944 - 3329663/6. Factor -1/12*b**2 + 0*b + 0 - s*b**3.
-b**2*(2*b + 1)/12
Suppose -j = 4*v - 6, 19*j - 6*v = 20*j - 6. Let p(d) be the third derivative of 0*d + 1/2*d**5 + 25/24*d**4 + 0*d**3 + 28*d**2 + 0 + 1/24*d**j. Factor p(h).
5*h*(h + 1)*(h + 5)
Solve -70*j + 155 - 641 + 42*j**2 - 8*j - 644 - 2*j**3 - 560 = 0.
-5, 13
Let y(k) be the third derivative of -k**5/150 - 14*k**4 + 11*k**2 + k - 187. Factor y(u).
-2*u*(u + 840)/5
Let k(m) = -6*m - 1. Let o be k(-1). Let g = 186 - 184. Factor -4*i**2 - 2*i**2 - 17*i + 15*i + o*i**g - 1.
-(i + 1)**2
Let c be -22 + (-44 - (-15732)/230). Let -c*u**3 + 8/5*u**4 + 2/5*u**5 - 72/5*u**2 + 0 - 54/5*u = 0. Calculate u.
-3, -1, 0, 3
Let r(h) = -1734 - 204*h + 32*h**2 + 17*h**2 - 47*h**2 + 10*h**2. Let b(v) = -7*v**2 + 102*v + 867. Let u(l) = -9*b(l) - 5*r(l). Factor u(i).
3*(i + 17)**2
Let i = -1010 - -1012. Let m(w) be the second derivative of 0 - 1/3*w**3 - 1/24*w**4 - 18*w - 3/4*w**i. Let m(y) = 0. Calculate y.
-3, -1
Let j(f) = 211*f**3 - 1416*f**2 - 871*f + 570. Let q(v) = -453*v**3 + 2833*v**2 + 1743*v - 1140. Let d(r) = -13*j(r) - 6*q(r). Solve d(y) = 0 for y.
-1, 2/5, 57
Let g(o) be the first derivative of -1/48*o**6 + 75/4*o**3 - 145/32*o**4 - 135/4*o**2 - 24 + 27*o + 1/2*o**5. Factor g(q).
-(q - 6)**3*(q - 1)**2/8
Find i, given that 1288/5*i**2 + 0 - 512/5*i - 788/5*i**3 + 12/5*i**4 = 0.
0, 2/3, 1, 64
Suppose 0 = 16*s - 18*s + 8. Let p be (-50)/14 - (s + 5 + -13). Factor p*c**2 - 2/7*c + 0 - 1/7*c**3.
-c*(c - 2)*(c - 1)/7
Suppose 0 = 8*n - 657 + 705. Let b be (-3 - 17/n)*(-29 + 27). Let 4/3 - 1/3*v**3 - b*v**4 - 11/3*v + 3*v**2 = 0. What is v?
-4, 1
Let d(t) be the second derivative of t**6/150 - 21*t**5/100 + 5*t**4/12 + 403*t**3/10 - 1183*t**2/5 + 3*t - 75. Factor d(p).
(p - 13)**2*(p - 2)*(p + 7)/5
Let m(o) = o**2 - 15*o + 7. Let j be m(15). Suppose -y - 12 = -3*b, y + 3*b = 5*b - j. Factor 2*w**3 + 12*w - 7*w**3 - 4*w**y - 3*w**4.
-3*w*(w - 1)*(w + 2)**2
Sup