tive of f(a). Factor o(j).
-(j - 1)*(j + 1)**3
Let x(d) be the first derivative of -147*d**4/8 - 91*d**3/2 - 153*d**2/4 - 27*d/2 - 30. Factor x(y).
-3*(y + 1)*(7*y + 3)**2/2
Let f be (2 - (-174)/54) + 4/(-18). Let x(d) be the first derivative of 0*d**2 - 1 - 1/20*d**f - 1/12*d**3 + 0*d + 1/8*d**4. Factor x(z).
-z**2*(z - 1)**2/4
Let l(q) be the third derivative of -q**8/2184 + 2*q**7/1365 + q**6/130 - 2*q**5/39 + 19*q**4/156 - 2*q**3/13 - 89*q**2. Solve l(v) = 0 for v.
-3, 1, 2
Let l(f) be the first derivative of 4 + 0*f - 5/4*f**2 + 1/6*f**3. Factor l(y).
y*(y - 5)/2
Let o(q) be the second derivative of -2*q**3 + 3*q**4 + 5/2*q**7 + 0*q**2 - q + 0 - 33/5*q**6 + 69/20*q**5. Find j such that o(j) = 0.
-2/5, 0, 2/7, 1
Let u be 3/(6/(-4))*-2. Suppose 5*a - 5*r = 25, -u*a = -3*r - 2*r - 23. Factor -4*z + 0*z**3 - 2*z**3 + 2*z - 4*z**a.
-2*z*(z + 1)**2
Let o = 274 + -268. Let n(u) be the third derivative of -1/120*u**5 + 0*u**4 - u**2 - 1/140*u**7 + 0*u**3 + 0 + 0*u - 1/60*u**o. What is d in n(d) = 0?
-1, -1/3, 0
Let v(h) be the first derivative of h**5/90 - h**4/18 - 9*h**2/2 + 8. Let x(r) be the second derivative of v(r). Factor x(w).
2*w*(w - 2)/3
Let v(j) = -80*j**3 - 3700*j**2 - 6860*j. Let h(o) = -3*o**3 - 137*o**2 - 254*o. Let x(w) = 55*h(w) - 2*v(w). Let x(d) = 0. Calculate d.
-25, -2, 0
Let g(n) be the second derivative of -n**4/66 + 160*n**3/33 - 6400*n**2/11 + 257*n. Factor g(l).
-2*(l - 80)**2/11
Let f(n) = 3*n**4 + 3*n**3 + 9*n**2 + 15*n - 21. Let h(u) = -u**4 - u**3 - 5*u**2 - 7*u + 10. Let i(q) = -4*f(q) - 9*h(q). Factor i(o).
-3*(o - 1)**2*(o + 1)*(o + 2)
Let v(p) be the second derivative of p**6/80 + 9*p**5/80 + 3*p**4/8 + 5*p**3/8 + 9*p**2/16 + p + 11. Solve v(r) = 0 for r.
-3, -1
Suppose 0 = q + 1 + 2. Let x be ((-11)/2 - q)*-2. Let x + 6*r**2 - 9*r + 0 + 12*r**3 - 3*r**5 - 6 - 5 = 0. What is r?
-1, 1, 2
Suppose 3*p - 70 - 64 = -4*t, 2*t + 122 = 3*p. Suppose 5*k + 7 = p. Factor -6*z - 3*z**2 + k*z + 2*z.
-3*z*(z - 1)
Suppose -x - 206 - 770 = -4*v, 4*v - 968 = 3*x. Solve -127 + 2*i**2 - 124 - 4*i + v = 0.
-1, 3
Find w, given that 4*w**2 + 19*w - 92 - 4 - 24 + 97*w + 0*w = 0.
-30, 1
Factor 4*m**4 + 33*m**5 - 4*m - 4*m**2 + 6*m - 35*m**5.
-2*m*(m - 1)**3*(m + 1)
Let h = -247 - -251. Let d(q) be the third derivative of 2/27*q**3 + 3*q**2 + 5/36*q**h + 0*q + 0 + 14/135*q**5. Determine g, given that d(g) = 0.
-2/7, -1/4
Let n(w) = w**2 + w + 1. Let q(b) = -15*b - 13 + 5 - 6*b**2 + 17. Let g(a) = -14*n(a) - 2*q(a). Factor g(r).
-2*(r - 4)**2
Let h = -9807 + 9807. Factor h + 2*q**3 + 0*q - 4/3*q**4 - 2/3*q**5 + 0*q**2.
-2*q**3*(q - 1)*(q + 3)/3
Let k = 1544 - 1541. Factor 0 + 0*n**k - 4/7*n + 4/7*n**5 - 8/7*n**4 + 8/7*n**2.
4*n*(n - 1)**3*(n + 1)/7
Let g(l) = -4*l**2 - 9*l + 7. Let j(x) = -5*x**2 - 11*x + 6. Let f(a) = 4*g(a) - 3*j(a). Factor f(y).
-(y - 2)*(y + 5)
Let h = -1922 + 9612/5. Find g such that -3/5*g**2 + h*g + 0 + 1/5*g**3 = 0.
0, 1, 2
Let b be -1*((-18)/(-8))/(186/(-124)). Let z(k) = k**3 + 5*k**2 - 5*k + 6. Let s be z(-6). Factor -b*r**5 + 6*r**4 + 0 + s*r - 15/2*r**3 + 3*r**2.
-3*r**2*(r - 2)*(r - 1)**2/2
Suppose y = w + 26, 4*y = -y + 10. Let p = 27 + w. Factor 2*l**3 + 39*l**5 - 37*l**5 + p*l**4 + l**4.
2*l**3*(l + 1)**2
Let d be 144/60 - 4/10. Find w such that 7 + 3 - 64*w + 28*w**4 - 76*w**3 + 6 - 13*w**5 + 9*w**5 + 100*w**d = 0.
1, 2
Let h(l) be the first derivative of 0*l**2 + 5*l - 5/3*l**3 + 28. Suppose h(d) = 0. What is d?
-1, 1
Let d = 2712 - 51522/19. Determine s so that -d*s**3 - 2/19*s**2 + 0 + 2/19*s**4 + 6/19*s**5 + 0*s = 0.
-1, -1/3, 0, 1
Let l be 3 + 0 + (-89)/3*-3. Let p = 93 - l. Suppose -5/4*i**4 + 7/4*i**3 + 1/4*i**5 - 2*i + 1/4*i**2 + p = 0. What is i?
-1, 1, 2
Factor -2*l - 20*l - 65 + 52 - 23*l + 163 + 3*l**2.
3*(l - 10)*(l - 5)
Let i be (-2 - -2)/(184/92). Suppose 3/4*w**2 + i*w + 0 = 0. What is w?
0
Let d(y) be the second derivative of 0 + 19/20*y**5 - 7/30*y**6 + 8/3*y**3 - 25/12*y**4 + 4*y - 2*y**2 + 1/42*y**7. Suppose d(r) = 0. Calculate r.
1, 2
Factor 9*k**4 - 11*k - 174*k**2 + 153*k**2 - 6*k**3 + 5*k.
3*k*(k - 2)*(k + 1)*(3*k + 1)
Let q(n) = -n**3 + 68*n**2 + 133*n + 492. Let j be q(70). Factor 2/3*a - 1/12*a**j - 4/3.
-(a - 4)**2/12
Suppose 0 = 4*x - 4*o + 8, 12*x = 15*x + o - 10. What is z in 3/7*z**x + 12/7*z + 9/7 = 0?
-3, -1
Let z be 9/(-36) + 9/4. Find o such that o**4 - 9*o**z + 15*o**2 - 7*o**2 - 2*o + 2*o**3 = 0.
-2, -1, 0, 1
Suppose -4*w - 9*d = -14*d - 36, -2*w + 5*d + 18 = 0. Let g(n) be the first derivative of w + 1/4*n**3 + 0*n + 3/8*n**2. What is u in g(u) = 0?
-1, 0
Let z = -9928/7 - -29812/21. Suppose -11 - 4 = -5*i. Solve 0 - 58/9*q**4 - z*q**i + 4/9*q + 22/9*q**2 + 44/9*q**5 = 0.
-1/2, -2/11, 0, 1
Let j = 59198/8215 - 10/1643. Determine o, given that -12/5 + j*o + 21/5*o**2 = 0.
-2, 2/7
Let k(m) be the third derivative of m**8/252 - 2*m**7/105 - 2*m**6/45 + 16*m**5/45 - 32*m**3/9 + 11*m**2 + 1. Suppose k(z) = 0. What is z?
-2, -1, 2
Let c(z) be the third derivative of z**8/2240 - z**7/840 - z**6/240 + z**5/40 - 9*z**4/8 - 30*z**2. Let a(s) be the second derivative of c(s). Factor a(m).
3*(m - 1)**2*(m + 1)
Factor -15*c**2 + 3*c + 27*c**2 + 14 - 11*c**2 + 12*c.
(c + 1)*(c + 14)
Let f(s) be the third derivative of -s**6/780 - 2*s**5/65 + s**4/12 - 2*s**2 - 12. Find q, given that f(q) = 0.
-13, 0, 1
Let m(j) = -12*j + 8*j**2 - 139 + 139 - 14*j**3 - 12*j**4. Let d(p) = p**4 + p**3 - p**2 + p. Let y(u) = 44*d(u) + 4*m(u). Solve y(n) = 0.
-1, 0
Let t be ((-2)/(-2618))/(2934/(-1468) - -2). Let b = t + 2/187. Factor 0 + 6/7*q**2 - b*q - 2/7*q**3.
-2*q*(q - 2)*(q - 1)/7
Let s be (-26)/(-126) - 6/(-27) - 3. Let q = s + 104/35. Suppose -q - 4*a - 10*a**2 = 0. Calculate a.
-1/5
Let x(p) be the second derivative of -p**6/20 + 3*p**5/20 + 3*p**4/2 + 7*p**3/2 + 15*p**2/4 + 106*p. Determine o, given that x(o) = 0.
-1, 5
Let n = 812/17 + -3992/85. Let 3/5 - n*a + 1/5*a**2 = 0. Calculate a.
1, 3
Let l(i) be the second derivative of i**6/180 + i**5/60 - i**4/6 - i**3/2 - 13*i. Let v(x) be the second derivative of l(x). Find c such that v(c) = 0.
-2, 1
Let x(t) = 15*t - 25. Let p be x(10). Suppose -97 + 3*l**2 - 26*l + p - 6*l + l**2 = 0. What is l?
1, 7
Let f be 3/15*-29 - 1/5. Let q(s) = s**3 - s**2 + s. Let o(d) = d**3 + 9*d**2 + 11*d - 15. Let t(p) = f*q(p) + o(p). Factor t(h).
-5*(h - 3)*(h - 1)*(h + 1)
Let o(r) be the first derivative of -3/7*r**2 + 0*r + 39/28*r**4 + 21 + 11/7*r**3. Factor o(h).
3*h*(h + 1)*(13*h - 2)/7
Let s be (-10)/(-25) + (-96)/(-10). Suppose l + 4*l - s = 0. Factor -48*t**l - 42*t**3 - 8*t**4 - 10*t**4 - 3*t**5 - 4 - 6 + 4 - 27*t.
-3*(t + 1)**4*(t + 2)
Let k(m) be the first derivative of 7/6*m**2 - 1/18*m**6 + 2/15*m**5 - 7 + 1/6*m**4 - 2/3*m - 8/9*m**3. Solve k(i) = 0.
-2, 1
Solve 2/13*g**2 - 36/13 - 14/13*g = 0 for g.
-2, 9
Solve -10*s**2 + 5*s**2 + 2*s**2 + 0*s**2 + 51*s = 0.
0, 17
Let a = -1/290 + 117/290. What is x in -8/5 - 8/5*x**3 + 8/5*x + 6/5*x**2 + a*x**4 = 0?
-1, 1, 2
Let y(h) be the third derivative of h**7/105 - h**6/6 + 11*h**5/10 - 10*h**4/3 + 16*h**3/3 + 119*h**2. Factor y(f).
2*(f - 4)**2*(f - 1)**2
Let w = 10 + -21. Let t = 15 + w. Determine s, given that -1 - 2 + 2*s - s**2 + 2 - t*s = 0.
-1
Factor 13/2*h**3 + 6 + 67/2*h**2 + 44*h.
(h + 2)*(h + 3)*(13*h + 2)/2
Suppose 0 = -c + 5*m + 1, -3*c + 15 = -m - 2*m. Let h = 8 - c. Suppose 9*z - h - 3*z**2 - 4 + 3*z**2 - 3*z**3 = 0. Calculate z.
-2, 1
Let j be (256/264)/(30/45). Factor j + 1/11*r**2 - 8/11*r.
(r - 4)**2/11
Let s = 214201/120 - 1785. Let p(l) be the third derivative of -s*l**6 + 0*l + 1/24*l**4 + 1/30*l**5 + 0 - 1/3*l**3 - 2*l**2. Solve p(i) = 0 for i.
-1, 1, 2
Let d(q) be the third derivative of -q**5/390 - 15*q**4/52 - 49*q**2. Factor d(y).
-2*y*(y + 45)/13
Let h(o) be the second derivative of o**7/14 - 3*o**5/2 + 5*o**4 - 15*o**3/2 + 6*o**2 + 199*o. Factor h(n).
3*(n - 1)**4*(n + 4)
Suppose 79*j - 25*j = 270. Find r, given that -2/7*r**j - 2/7*r + 0 - 12/7*r**3 - 8/7*r**2 - 8/7*r**4 = 0.
-1, 0
Let z(q) = 14*q**4 - 13*q**3 + 27*q**2 - 44*q + 7. Let h(p) = -3*p**4 + 3*p**3 - 7*p**2 + 11*p - 2. Let a(y) = -9*h(y) - 2*z(y). Suppose a(l) = 0. What is l?
-4, 1
Suppose 16 - 44/5*j + 2/5*j**2 = 0. What is j?
2, 20
Factor 0*f + 26/7*f**3 + 2/7*f**4 + 0 + 0*f**2.
2*f**3*(f + 13)/7
Let s(d) 