j**3 + 5/42*j**7 + 1/4*j**5 + 1/3*j**6 + 0*j**2 + 0*j**4 + 0. Find f such that v(f) = 0.
-1, 0
Determine z, given that 41*z**2 + 179*z**2 - 12*z**2 - 2*z**3 + 6*z**3 = 0.
-52, 0
Let u be 1/((6 - 5)/24). Suppose 0 = 9*j - u - 3. What is s in 3 - 4*s + j*s - 18*s - 7*s**2 + 3 = 0?
-3, 2/7
Determine t so that 2/13*t**3 + 0 + 352/13*t + 96/13*t**2 = 0.
-44, -4, 0
Let z = -3/230 + 121/460. Let m(k) be the first derivative of -k**3 + 9/10*k**5 + 9/4*k**2 - 3/4*k**4 - z*k**6 - 26 - 3/2*k. Let m(f) = 0. What is f?
-1, 1
Suppose 0 = 4*k + 3*u - 138, 0 = 2*k + 3*u - 30 - 36. Factor -176*i**2 - 72 + 342*i**2 - k - 169*i**2 + 36*i.
-3*(i - 6)**2
Let t(k) be the third derivative of -5*k**6/6 + 101*k**5 - 396*k**4 + 1888*k**3/3 - 848*k**2 - 7*k. Factor t(v).
-4*(v - 59)*(5*v - 4)**2
Let g(c) be the second derivative of 1/28*c**4 - 2 + 0*c**3 + 0*c**2 + 3/70*c**6 - 12*c - 9/140*c**5 - 1/98*c**7. Suppose g(k) = 0. What is k?
0, 1
Let l be (-6)/12 - 93/(-2) - 2. Let -44*d**2 - l*d**2 - 1542*d + 350*d - 667*d - d**3 - 77*d = 0. What is d?
-44, 0
Suppose -578*y + 587*y = 270. Let b be (126/y - 4)*1*2. Factor b*a**2 - 16/5 - 4/5*a.
2*(a - 4)*(a + 2)/5
Let t(i) be the second derivative of -i**7/315 - i**6/720 + 3*i**5/40 + 5*i**4/6 - 2*i**3 - 30*i - 3. Let o(n) be the third derivative of t(n). Factor o(y).
-(y - 1)*(8*y + 9)
Let j(b) be the first derivative of -b**5/3 + 25*b**4/3 - 260*b**3/9 - 160*b**2 + 10187. Solve j(s) = 0 for s.
-2, 0, 6, 16
Let r = 13349/4 - 3328. Let d(s) be the first derivative of 8*s**3 + 0*s - 4 - r*s**4 - 2*s**2 - 2/3*s**6 + 21/5*s**5. Find a, given that d(a) = 0.
0, 1/4, 1, 2
Let d be (1 + 7)*(-50)/((-21700)/186). Let -d*z + 11/7*z**2 + 4/7 = 0. Calculate z.
2/11, 2
Suppose m = -1 + 11. Suppose 0 = m*p - 6*p. Let -k**2 - 80 - 4*k**2 + k + p*k**2 - 41*k = 0. Calculate k.
-4
Let t = 7819/2 - 3908. Find c such that 6*c - t*c**5 - 6*c**4 - 9/2*c**3 + 0 + 6*c**2 = 0.
-2, -1, 0, 1
Let t(m) be the second derivative of -m**5/4 + 775*m**4/12 - 33215*m**3/6 + 239805*m**2/2 + 7320*m. Find v such that t(v) = 0.
9, 73
Let k(w) be the first derivative of -10*w**6/3 - 12*w**5/5 + 32*w**4 + 32*w**3/3 - 96*w**2 + 64*w + 211. Solve k(j) = 0 for j.
-2, 2/5, 1, 2
Solve -5*l**4 - 102*l**5 - 195*l**2 - 55*l**5 + 90*l + 152*l**5 + 115*l**3 = 0.
-6, 0, 1, 3
Let d = -5 + 15. Let o(u) = u**2 - 7*u - 8. Let z be o(d). Find a such that -15*a + 5*a - 8*a**2 + z*a - 4*a**3 = 0.
-3, 0, 1
Suppose -1417 = -23*w + 8335. Let n = w - 2119/5. Factor -1/10*j - 3/10*j**2 - n*j**3 + 0.
-j*(j + 1)*(2*j + 1)/10
Factor -1/2*a**2 - 92 - 47*a.
-(a + 2)*(a + 92)/2
Let d be -7*(-24)/(-252) + (-40)/(-6). Let t(n) = n**3 - n**2 + n - 2. Let h(i) = -21*i**3 + 56*i**2 - 51*i + 22. Let b(s) = d*t(s) + h(s). Factor b(c).
-5*(c - 2)*(c - 1)*(3*c - 1)
Factor -106733 - 116051 + 159*z + 206*z - 3*z**2 + 579*z + 2*z**2.
-(z - 472)**2
Let p(q) be the third derivative of q**5/20 - q**4/2 + 3*q**3/2 - 731*q**2. Suppose p(v) = 0. What is v?
1, 3
Let v(a) be the first derivative of -a**6/135 - a**5/12 - 26*a**3/3 - a**2 - 61. Let h(c) be the third derivative of v(c). Factor h(s).
-2*s*(4*s + 15)/3
Factor 839 - 1655 - 3999 + 1620*j - 5*j**2.
-5*(j - 321)*(j - 3)
Let z be (88 - 142) + 62 + ((-688)/(-24))/((-11)/3). Suppose -34/11*y**2 - z*y + 0 = 0. What is y?
-1/17, 0
Let l(o) = 9*o**2 - 25*o + 46. Let i be l(4). Let s be (i/945)/((-6)/(-28)). Factor -4/3*d**2 - s*d**3 - 8/9*d + 0.
-4*d*(d + 1)*(d + 2)/9
Let s be -12*9/(-6) + 1 + -7. Suppose -3*q = 7*g - s*g + 1, 4*q - 14 = -g. Factor -1/4*v**4 - 1/4*v + 1/4*v**3 - 1/2 + 3/4*v**g.
-(v - 2)*(v - 1)*(v + 1)**2/4
Let g(y) be the first derivative of y**4 + 8/3*y**3 - 104 - 2*y**2 - 8*y. Solve g(u) = 0 for u.
-2, -1, 1
Let b = 24 - 47. Let o = b - -35. Solve -o*q**4 + 12*q**3 + q**4 - q**4 + 3*q**5 = 0.
0, 2
Let f = 58 - 56. Suppose 9 = f*n + 5. Factor -2*v - 24*v + n*v**3 + 20*v**2 + 2*v**3 + 2*v.
4*v*(v - 1)*(v + 6)
Let a(i) be the third derivative of -i**6/60 - 2*i**5/15 - 5*i**4/12 + i**3/3 + 14*i**2 + 4. Let r(p) = p - 1. Let q(s) = -a(s) - 2*r(s). Factor q(m).
2*m*(m + 2)**2
Let 4/3*q**2 + 2552/3*q + 407044/3 = 0. What is q?
-319
Let q(d) = d**3 - 4*d**2 + d. Let x be q(4). Suppose 35 = -8*v + 15*v. Factor 0*t - x*t**3 + 0*t + t**v - 4*t**4 + 8*t**3.
t**3*(t - 2)**2
Let w = 450 + -22. Let l = -425 + w. Determine a so that 0*a - 2/3*a**2 + 0 - 2/3*a**l = 0.
-1, 0
Let v be ((10 - -24) + -33)/4. Factor -1/2 + v*c**2 + 3/4*c + 1/4*c**4 - 3/4*c**3.
(c - 2)*(c - 1)**2*(c + 1)/4
Let h(k) = -76*k**2 + 126*k**2 + 24*k + 4 - 66*k**2. Let s(j) = -j**2 + 7 + 1 - 7 + 3*j - 2*j. Let i(x) = -h(x) + 12*s(x). Factor i(u).
4*(u - 2)*(u - 1)
Let u be 4 + 8/(-12)*6. What is z in 6*z**4 + 3*z**2 - z**4 + u*z**4 + 0*z**4 - 8*z**2 = 0?
-1, 0, 1
Suppose -88 + 952 = 2*o. Factor -o*f + 76*f**2 - 3*f**3 - f**3 + 36*f + 324.
-4*(f - 9)**2*(f - 1)
Let v = -35 + 54. Suppose v*t - 15*t - 40 = 0. Factor -t*z - 10*z**4 + 5*z**4 + 15*z**2 - 17*z**2 + 7*z**2 + 10*z**3.
-5*z*(z - 2)*(z - 1)*(z + 1)
Let y be 3 - (0 + 6 + -4). Let h be (y + 1)/(38 - 30). Find f, given that -1/2 + 1/4*f**2 + h*f = 0.
-2, 1
Factor 5*g**2 + 6*g**2 - 676*g - 121*g - 7*g**2 + 61*g.
4*g*(g - 184)
Suppose -4*v + 28 = 2*w, v - 19 = -38*w + 36*w. What is y in 3/2*y + 0 - 3/2*y**5 + 0*y**3 + 3*y**2 - v*y**4 = 0?
-1, 0, 1
Let i be 53/(1113/21) + (-15*4/(-6))/6. Factor -16/9 - a**2 + 1/9*a**3 + i*a.
(a - 4)**2*(a - 1)/9
Suppose -10*w + 245 = 5*m, 0 = -3*w + 4*m + 14 + 87. Suppose -2*t = 23 - w. Suppose 22/5*x - 2/5*x**t - 4 = 0. Calculate x.
1, 10
Suppose -375/4*q - 93 - 3/4*q**2 = 0. What is q?
-124, -1
Factor -60*c + 27/2*c**2 + 72 - 3/4*c**3.
-3*(c - 12)*(c - 4)*(c - 2)/4
Let h(l) be the third derivative of 11/3*l**3 - 5*l**2 - 7/8*l**4 + 0*l + 1 - 1/60*l**5. Factor h(n).
-(n - 1)*(n + 22)
Let b(n) = -n**3 - 5*n**2 + 23*n - 270. Let w be b(-10). Factor -1/2*l**4 - 1/2*l**2 + 0*l + w - l**3.
-l**2*(l + 1)**2/2
Factor 572/3*a**2 - 109520/3 - 4/3*a**3 - 18944/3*a.
-4*(a - 74)**2*(a + 5)/3
Let r(k) be the second derivative of -k**6/70 - 9*k**5/70 + 18*k**4/7 + 2038*k + 1. Suppose r(y) = 0. What is y?
-12, 0, 6
Let -16*i + 266/3*i**2 + 4*i**4 + 130/3*i**3 + 0 = 0. What is i?
-8, -3, 0, 1/6
Let c be ((-1)/(-960))/(135/1890). Let t(k) be the third derivative of c*k**5 + 0*k + 1/16*k**3 - 18*k**2 + 0 + 1/240*k**6 - 7/96*k**4. Factor t(y).
(y - 1)*(y + 3)*(4*y - 1)/8
Let k(f) be the third derivative of 1/30*f**4 - 1/15*f**3 - 1/150*f**5 - 65*f**2 + 0 + 0*f. Factor k(d).
-2*(d - 1)**2/5
Let k(n) = -3*n**2 + 139*n + 155. Let i(s) = 2*s**2 - s + 10. Let t(m) = -i(m) + k(m). Find b such that t(b) = 0.
-1, 29
Let 12/5 - 74/5*y + 26/5*y**4 - 38/5*y**2 + 74/5*y**3 = 0. What is y?
-3, -1, 2/13, 1
Suppose -555*g = 5456 - 6566. Solve 3/5*z**3 + 0 - 18/5*z**g - 21/5*z = 0.
-1, 0, 7
Suppose -404*f - 340*f + 3687 + 317 - 284 = 0. Find u such that 0 - f*u**2 - 3*u - 1/4*u**4 - 9/4*u**3 = 0.
-6, -2, -1, 0
Suppose n + 5 = r, 3*n - 9 = 4*r - 9*r. Suppose r*j + 3 = 3*t, 14 - 23 = -2*t - 5*j. Suppose -1/3*c**t + 1/3*c + 2/3 = 0. What is c?
-1, 2
Let z be ((-39)/(-26))/(9/24). Let p be (z/(-14))/((-460)/1288). Find o, given that -p*o**3 + 0 + 4/5*o**2 + 0*o = 0.
0, 1
Let o(w) = -11*w + 419. Let l be o(34). Suppose -l = -834*v + 819*v. Determine a, given that 2/3*a**v + 2/3*a**4 + 0*a - 2/3*a**5 - 2/3*a**2 + 0 = 0.
-1, 0, 1
Let n(t) be the first derivative of 3*t**4/4 + 74*t**3 + 2043*t**2/2 - 2268*t + 3647. Factor n(i).
3*(i - 1)*(i + 12)*(i + 63)
Let z be -45 - (-208)/91*21. Factor 125/2*g**z - 293/2*g**2 + 1/4*g**5 - 29/4*g**4 - 169/4 + 533/4*g.
(g - 13)**2*(g - 1)**3/4
Suppose -j + 4 = -21. Factor -2*r**4 + r**2 + 13*r**4 + j*r**3 - 3*r**2 + 16*r**4.
r**2*(r + 1)*(27*r - 2)
Let u(i) be the first derivative of -i**6/6 + 3*i**5/4 + 5*i**4/3 - 10*i**3 - 235*i - 17. Let b(r) be the first derivative of u(r). Suppose b(c) = 0. What is c?
-2, 0, 2, 3
Suppose 0 = -b + 3*r + 14, -3*b + 11 + 7 = -3*r. Find s such that -s**2 - b*s**2 + 2 + 0*s + 5*s**2 - 4*s = 0.
1
Let q be 8 - (1 - -7) - -4. Suppose 4*b - 17 = -4*x + 5*x, -3*x + 2*b - 1 = 0. Factor 0 + 3/2*a**2 + a + 0*a**x - 1/2*a**q.
-a*(a - 2)*(a + 1)**2/2
Let c(l) be the third derivative of -l**8/80640 - 17*l**7/20160 - l**6/96 + 109*l**5/60 + 26*l**2. Let w(f) be the third derivative o