/7 - 260. Solve z(j) = 0 for j.
1, 13
Factor 18/13*k + 16/13 + 2/13*k**2.
2*(k + 1)*(k + 8)/13
Let j(o) = -o - 4. Let b = -8 + 2. Let c be j(b). Find f, given that -5*f - f**3 - f - 5*f**c + 9 + 3*f = 0.
-3, 1
Factor -28/9*j**3 + 52/9*j**2 + 10/9 + 2/9*j**4 - 38/9*j + 2/9*j**5.
2*(j - 1)**4*(j + 5)/9
Let q(l) be the second derivative of l**4/4 + 6*l**3 + 54*l**2 - 74*l - 1. Find c such that q(c) = 0.
-6
Let p(j) be the third derivative of -j**7/210 - j**6/180 + 13*j**5/180 + j**4/9 - 2*j**3/9 + 29*j**2. Solve p(f) = 0.
-2, -1, 1/3, 2
Let q(i) be the third derivative of -1/72*i**4 + 1/180*i**6 + 0 + 0*i**3 + 0*i + 0*i**7 - 1/1008*i**8 + 2*i**2 + 0*i**5. Factor q(u).
-u*(u - 1)**2*(u + 1)**2/3
Let a be 72/(-54) + 8*(-2)/(-2). Let r(c) be the first derivative of -11 + 8*c**2 + 2*c**4 - a*c**3 - 4*c. Suppose r(z) = 0. Calculate z.
1/2, 1
Let z(k) be the second derivative of -k**6/25 - 3*k**5/25 - k**4/10 - 32*k. Factor z(a).
-6*a**2*(a + 1)**2/5
Let w be 5/10 - 13/11. Let f = -2/11 - w. Determine d so that 0 + 1/2*d - 1/2*d**3 - f*d**2 + 1/2*d**4 = 0.
-1, 0, 1
Let y(k) be the first derivative of -k**6/10 - 3*k**5/25 + 21*k**4/20 + 13*k**3/5 + 9*k**2/5 - 624. What is c in y(c) = 0?
-2, -1, 0, 3
Let u(w) be the first derivative of w**5/30 + w**4/3 + 7*w**3/6 + 11*w**2/6 + 4*w/3 + 75. Factor u(s).
(s + 1)**2*(s + 2)*(s + 4)/6
Solve -2/5*c - 194/5 + 2/5*c**3 + 194/5*c**2 = 0.
-97, -1, 1
Let w be 0 - (-4)/((-12)/(-9)). Let o = 169 + -335/2. Factor w*f + 0 - o*f**3 - 3/2*f**2.
-3*f*(f - 1)*(f + 2)/2
Let c(a) = -10*a**3 + 55*a**2 - 85*a - 15. Let n(f) = f**3 + f**2 - 9. Let h(p) = -c(p) - 15*n(p). Factor h(s).
-5*(s - 2)*(s + 1)*(s + 15)
Let t = 5 - 9/2. Suppose -29*r = 5*r - 68. Find g, given that g + t*g**3 + 3/2*g**r + 0 = 0.
-2, -1, 0
Let p be -5 + -6 + (-331)/(-30). Let h(x) be the second derivative of 1/24*x**3 + 0 + p*x**6 + 1/12*x**4 - x + 0*x**2 + 1/168*x**7 + 3/40*x**5. Factor h(f).
f*(f + 1)**4/4
Let h(k) be the third derivative of -k**8/1512 - k**7/315 + k**6/60 + 23*k**5/270 - 2*k**4/9 - 4*k**3/3 + 2*k**2 + 11. Determine b, given that h(b) = 0.
-3, -1, 2
Let v be 12/(-4 + 6) - 4. Solve 36*f + 233*f**2 - 458*f**v + 228*f**2 + 108 = 0.
-6
Factor 392/3 - 728/3*o + 338/3*o**2.
2*(13*o - 14)**2/3
Let s = 3920 - 11756/3. Factor 2/3*o**3 + 2/3*o - s*o**2 + 0.
2*o*(o - 1)**2/3
Factor -4*t**4 - 11*t**4 - 5*t**5 + 3*t**2 + 7*t**2 + 5*t**4 + 5*t.
-5*t*(t - 1)*(t + 1)**3
Find a such that -284/9*a**2 - 64/3 - 440/9*a - 4*a**3 = 0.
-6, -1, -8/9
Factor 3/2*m**2 - 3/2 + 4*m.
(m + 3)*(3*m - 1)/2
Factor -1826*j**3 - 5*j**2 + 1834*j**3 - 5*j**4 + 5*j**2 + j**4.
-4*j**3*(j - 2)
Factor 4/5*c**3 - 9/5*c - 2/5 - 3/5*c**2.
(c - 2)*(c + 1)*(4*c + 1)/5
Let v(i) be the first derivative of i**4/4 + 32*i**3/3 + 31*i**2/2 + 4*i + 24. Let w be v(-31). Factor 0 + 5/4*o**2 - 1/2*o + 1/4*o**w - o**3.
o*(o - 2)*(o - 1)**2/4
Let w be ((-9)/6)/(1/(-2)). Find q such that w*q + 2 - 2*q**2 + 3*q**5 + q**4 + 1 - 2 + 23*q**3 - 29*q**3 = 0.
-1, -1/3, 1
Let g = 5375/3 + -1791. Factor 8/3*x**3 + 2/3*x**2 - g*x + 2/3*x**5 + 7/3*x**4 - 1/3.
(x + 1)**4*(2*x - 1)/3
Suppose -4*i = -20*i. Let j(c) be the third derivative of i*c - 1/15*c**4 - 4/15*c**3 + 0 + 3*c**2 - 1/150*c**5. Factor j(r).
-2*(r + 2)**2/5
Let k(f) be the first derivative of -5*f**4/4 + 185*f**3/3 - 1955*f**2/2 + 4335*f - 216. Find t, given that k(t) = 0.
3, 17
Let v(x) = 1. Let z(m) be the third derivative of 0*m + 0 - 1/15*m**5 + 1/2*m**4 - 2/3*m**3 - m**2. Let b(q) = 4*v(q) + z(q). Factor b(t).
-4*t*(t - 3)
Let o = 645 - 642. Let k(x) be the first derivative of 10/3*x**o - 2 - 8*x**2 - 1/2*x**4 + 8*x. Find p such that k(p) = 0.
1, 2
Suppose -55 = -5*n + 5*g, 3*n - 3*g = -5*g + 8. Suppose -2*p - 4*f = -6*p, -2*p + f + 3 = 0. Solve -n*c**2 - p*c**3 + 6*c + c - 4*c + 6*c**3 = 0 for c.
0, 1
Let v(d) = d**3 - 15*d**2 + 24*d + 26. Let m(s) = -12*s - 35. Let j be m(-4). Let l be v(j). Suppose 0 - 4/3*u**3 + 0*u + l*u**2 - 2/3*u**4 = 0. What is u?
-2, 0
Determine y, given that -8/7*y**2 + 0 - 1/7*y**5 + y - 6/7*y**3 + 8/7*y**4 = 0.
-1, 0, 1, 7
Let s be 6/48 - 31/(-8). Find t, given that -s - 24*t + 4*t + 9 + 15*t**2 = 0.
1/3, 1
Suppose z - 22 = 4*k, -3*z + k + 7 + 4 = 0. Solve -3*n**4 - z*n**2 + 9*n - 14*n**2 + 19*n**2 - 9*n**3 = 0.
-3, -1, 0, 1
Factor 21/2*c**3 + 69/2*c + 60*c**2 - 15.
3*(c + 1)*(c + 5)*(7*c - 2)/2
Solve 4*m**3 - 81*m + 81*m + 6*m**2 + 122*m**2 = 0 for m.
-32, 0
Let y(a) be the third derivative of 0 + 0*a**3 + 0*a - 1/660*a**6 + 8*a**2 - 1/132*a**4 - 1/165*a**5. Factor y(k).
-2*k*(k + 1)**2/11
Let p = -66 - -338/5. Let g = -2418 + 12092/5. Factor -12/5*n**3 - g*n**5 + 8/5*n**2 + p*n**4 + 0 - 2/5*n.
-2*n*(n - 1)**4/5
Let k(w) be the third derivative of -w**7/70 + w**6/40 + w**5/10 - 54*w**2. Find i, given that k(i) = 0.
-1, 0, 2
Let p(o) be the first derivative of -5*o**6/3 - 84*o**5/5 + 17*o**4 + 40*o**3 - 29*o**2 - 36*o - 110. Let p(l) = 0. What is l?
-9, -1, -2/5, 1
Let i(d) be the third derivative of d**7/70 - 3*d**6/40 - d**5/2 + 83*d**2. Factor i(w).
3*w**2*(w - 5)*(w + 2)
Let m(l) be the third derivative of -9*l**2 + 0 - 1/6*l**5 + 1/24*l**6 + 0*l + 0*l**3 + 5/24*l**4. Let m(s) = 0. Calculate s.
0, 1
Suppose 0 = -5*a + 3*a + 5*c - 49, -3*c - 57 = 2*a. Let k be 6/a - 258/(-189). Factor 4/7*i**2 + k + 12/7*i.
4*(i + 1)*(i + 2)/7
Let u(d) be the second derivative of 3*d - 1/8*d**4 - 3/40*d**5 + 1/4*d**3 + 0 + 3/4*d**2. Find f, given that u(f) = 0.
-1, 1
Factor -5693 - 1424 - 11*x**3 - 13047 + 19156*x + 440*x + 564*x**2 + 15*x**3.
4*(x - 1)*(x + 71)**2
Let y(n) be the second derivative of -n - 1/2*n**2 - 7/10*n**5 - 1/14*n**7 + 1/2*n**4 + 1/6*n**3 + 11/30*n**6 + 0. Factor y(m).
-(m - 1)**4*(3*m + 1)
Factor 88/9*y + 14/9*y**2 + 8/3.
2*(y + 6)*(7*y + 2)/9
Let x(k) = 3*k**3 - 12*k**2 - 24*k + 60. Let w(s) = 3*s**3 - 14*s**2 - 23*s + 62. Let o(u) = 3*w(u) - 4*x(u). Determine l so that o(l) = 0.
-3, 2, 3
Suppose -2*p**4 + 224*p - 106 + 8*p**3 - 162*p**2 + 10 + 44*p**3 - 16*p**3 = 0. What is p?
1, 4, 12
Let h(b) be the third derivative of b**5/45 - 34*b**4/9 + 134*b**3/9 + b**2 + 243. Suppose h(c) = 0. Calculate c.
1, 67
Let v(n) = -10*n**5 + 12*n**4 - 16*n**2. Let y = -28 + 22. Let f be 3/3*(-2)/(-2). Let l(r) = -r**5. Let w(g) = f*v(g) + y*l(g). Solve w(a) = 0 for a.
-1, 0, 2
Let v(g) be the second derivative of g**6/240 + g**5/2 + 50*g**4/3 - 21*g. Factor v(n).
n**2*(n + 40)**2/8
Suppose 2*a + 15 = -9. Let l be -1 - (a/(-4) + -9). Let 15*f**l - 10 - 21*f**3 - 9*f**4 + 6*f + 10 + 9*f**2 = 0. Calculate f.
-1, -2/5, 0, 1
Determine s, given that 4*s - 1 - 414*s**2 - 4 - 5*s**3 - 3 + s**4 + 420*s**2 = 0.
-1, 2
Determine r so that -13/3*r + 2*r**2 - 14 + 1/3*r**3 = 0.
-7, -2, 3
Let u(y) be the third derivative of -7*y**6/6 + 286*y**5/15 - 610*y**4/7 - 1200*y**3/7 + 38*y**2. Factor u(a).
-4*(5*a + 2)*(7*a - 30)**2/7
Let h be 15/6*10*(-10)/(-125). Factor 72*x**2 - 76*x**h + 28*x - 326 + 2 + 44*x.
-4*(x - 9)**2
Suppose 2*n = -2, -2*p + 54 = 3*p - 4*n. Factor p*f + 3*f**2 - 7*f**2 - f**2.
-5*f*(f - 2)
Let h = -2589 - -7781/3. Let -h*l**3 - 8/21*l - 8/3*l**2 + 0 = 0. What is l?
-2/7, 0
Let n(i) be the third derivative of -1/15*i**5 + 0*i + 0 + 0*i**4 + 2/3*i**3 + 2*i**2. Factor n(b).
-4*(b - 1)*(b + 1)
Let b(i) = -2*i**2 + 298*i + 276. Let r(c) = c**2 - 119*c - 110. Let t(k) = -5*b(k) - 12*r(k). Solve t(h) = 0.
-30, -1
Let g(y) be the second derivative of -1/21*y**4 + 29*y + 0*y**2 + 1 - 1/35*y**5 + 4/21*y**3. Suppose g(x) = 0. Calculate x.
-2, 0, 1
Let n(z) = 2*z**2 - 7*z + 15. Let u be n(12). Let l = u - 656/3. Factor -1/3*o - 2/3 - 1/3*o**4 + o**2 + l*o**3.
-(o - 2)*(o - 1)*(o + 1)**2/3
Let h be 2 + 94/((-2)/1). Let t be ((-18)/h)/((-1)/(-10)). Find c, given that 5*c - 3*c**3 - t*c - 2*c**4 + 4*c**4 = 0.
-1/2, 0, 1
Let p(y) be the second derivative of 10*y**7/63 + 68*y**6/45 + 28*y**5/15 - 82*y**4/9 + 10*y**3/3 + y + 73. Find s, given that p(s) = 0.
-5, -3, 0, 1/5, 1
Let a(i) = -122*i - 483. Let k be a(-4). Solve -3/2*c**4 + 3/8*c + 0 - 3/2*c**2 + 3/8*c**k + 9/4*c**3 = 0.
0, 1
Let d be (221106/72 - -1) + 2/(-8). Let t = d - 3019. Solve 364/3*j**4 + 98*j**5 - 116*j**2 - 16/3 - t*j**3 - 136/3*j = 0 for j.
-1, -2/3, -2/7, 1
Find u, given that 0 + 0*u + 2/7*u**4 + 50/7*u**2 - 20/7*u**3 = 0.
0, 5
Let q(s) be the second d