)**3*(3*o - 1)/3
Factor 0 - 2*z**3 - 2*z + 11/3*z**2 + 1/3*z**4.
z*(z - 3)*(z - 2)*(z - 1)/3
Let i(b) = -2*b**3 - 22*b**2 + 165*b - 150. Let j(a) = -7*a**3 - 89*a**2 + 661*a - 598. Let w(s) = -22*i(s) + 6*j(s). Find l such that w(l) = 0.
1, 12
Factor -1/2*l + 2*l**4 + 1/3 - 7/3*l**2 + 7/6*l**5 - 2/3*l**3.
(l - 1)*(l + 1)**3*(7*l - 2)/6
Suppose -4 = j - 3*b + 8*b, 0 = -4*j - b + 60. Let o be (-4)/j - 18/(-8). Determine v, given that 4*v - 1 - 6*v**2 + 9 - 6*v**2 + 8*v**o = 0.
-1, 2
Factor -9 - h**2 - 165*h - 4*h**2 + 15 - 6.
-5*h*(h + 33)
Let f(k) be the first derivative of -k**7/210 + k**6/18 - 2*k**5/15 + 5*k**3 + 44. Let c(h) be the third derivative of f(h). Factor c(z).
-4*z*(z - 4)*(z - 1)
Let p(d) be the third derivative of 121*d**8/840 + 66*d**7/175 + 37*d**6/300 - 6*d**5/25 + d**4/15 - d**2 - 9*d. Factor p(z).
2*z*(z + 1)**2*(11*z - 2)**2/5
Let q(c) be the third derivative of -6*c**2 + 1/240*c**5 + 0*c**4 + 1/720*c**6 + 0 + 0*c - 2/3*c**3. Let g(h) be the first derivative of q(h). Factor g(i).
i*(i + 1)/2
Let i be (-1)/(-3) - (51 + -60). Factor -1/3*y**2 - 196/3 + i*y.
-(y - 14)**2/3
Let h(a) = -a**4 - a**3 - a. Let g(o) = -2*o**5 + 2*o**4 + 14*o**3 + 16*o**2 + 8*o. Let s(p) = g(p) + 2*h(p). Factor s(f).
-2*f*(f - 3)*(f + 1)**3
Let p = 109/17 - 1063/187. Factor -2/11*c**3 + 16/11 - 4/11*c**2 + p*c.
-2*(c - 2)*(c + 2)**2/11
Find u such that -99/5 - 3/5*u**2 + 102/5*u = 0.
1, 33
Let s(o) be the second derivative of -o**5/5 + 3*o**4 + 2*o**3/3 - 18*o**2 + 97*o. Factor s(v).
-4*(v - 9)*(v - 1)*(v + 1)
Let d(y) be the third derivative of 0 + 1/156*y**4 + 0*y**7 + 0*y + 1/2184*y**8 - 1/390*y**6 + 40*y**2 + 0*y**3 + 0*y**5. Factor d(f).
2*f*(f - 1)**2*(f + 1)**2/13
Factor 72*o + 15*o**3 - 29*o**2 + 91*o**2 - 2*o + 23*o**2.
5*o*(o + 1)*(3*o + 14)
Let i(b) = -b**2 + 12*b - 7. Let s be i(11). Find k such that -6*k**5 - 4*k**2 + 4*k**4 + 4*k**3 + 0*k**s + 2*k**5 = 0.
-1, 0, 1
Let d be 864/(-80)*(-20)/(-2). Let x be (-72)/d - 4/(-18). Let 0 + 4/9*w - 2*w**2 + x*w**3 = 0. Calculate w.
0, 1/4, 2
Determine p, given that -1/4 - 1/4*p + 1/4*p**3 + 1/4*p**2 = 0.
-1, 1
Let u(o) = o + 2. Let f(g) = -2*g**2 + 46*g + 70. Let i(l) = -2*f(l) + 44*u(l). Factor i(t).
4*(t - 13)*(t + 1)
Let 2/5*p**5 + 28/5*p**3 - 256/5 - 192/5*p - 18/5*p**4 + 112/5*p**2 = 0. What is p?
-2, -1, 4
Let t(w) be the third derivative of w**7/630 - w**6/120 + w**5/90 + 2*w**2 - 21*w. Factor t(g).
g**2*(g - 2)*(g - 1)/3
Factor 1/7*k**2 + 27/7 - 12/7*k.
(k - 9)*(k - 3)/7
Let q = -8 - -5. Let r be (-1)/(0 + q/12). Factor -2*l**2 + r*l**2 + 0*l**2 + l**2 + 6*l.
3*l*(l + 2)
Let k be (15 - 9) + (-3 - 25/(-15)). Determine t, given that -2/3*t - k*t**3 - 2*t**4 - 10/3*t**2 + 0 = 0.
-1, -1/3, 0
Let m(i) be the third derivative of i**7/140 - 17*i**6/80 + 11*i**5/10 - 7*i**4/4 - 657*i**2. Let m(r) = 0. What is r?
0, 1, 2, 14
Let c(x) = -5*x**2 - 95*x - 410. Let f(h) = 5*h**2 + 96*h + 411. Let z = -72 - -78. Let o(p) = z*c(p) + 5*f(p). Factor o(m).
-5*(m + 9)**2
Let u(h) = 6*h**5 - 7*h**4 + 7*h**3 + 7*h**2 - 13. Suppose 2*d = -2*d - 24. Let t(k) = -k**5 + k**4 - k**3 - k**2 + 2. Let s(r) = d*u(r) - 39*t(r). Factor s(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose -686 = -5*l - 2*l. Suppose -j - 3*j - l = -3*r, -4*r + 112 = 4*j. What is x in 30*x - 40*x**4 + 2*x**3 - 2*x**5 + 4*x**2 - 54*x**5 - r*x = 0?
-1/2, 0, 2/7
Let n(a) be the first derivative of -a**7/735 - a**6/420 + a**2 - 3*a - 47. Let g(m) be the second derivative of n(m). Find d, given that g(d) = 0.
-1, 0
Suppose -3/4*o**4 + 15/4*o**3 - 99/4*o + 27/2 + 33/4*o**2 = 0. Calculate o.
-3, 1, 6
Let c(i) = i**3 - 4*i**2 + 3. Let w be c(4). Suppose -5*x = 20, 111*r - x - 8 = 109*r. Factor -12/7*n**r + 3/7*n - 9/7*n**w + 6/7.
-3*(n + 1)**2*(3*n - 2)/7
Suppose 28/9*a**2 - 8/9*a**4 + 2/9*a**3 + 2/9*a**5 + 16/9 - 40/9*a = 0. What is a?
-2, 1, 2
Let m = 92 + -87. Let w(i) be the second derivative of 0 + 0*i**2 - 1/15*i**4 + m*i + 1/75*i**6 - 1/50*i**5 + 0*i**3. Factor w(l).
2*l**2*(l - 2)*(l + 1)/5
Let k be (-18)/(-27)*(-2)/(24/(-74)). Let x = 517/117 - k. Factor 0 + 2/13*p**2 + 0*p - x*p**3 + 2/13*p**4.
2*p**2*(p - 1)**2/13
Let p(n) = n**3 - 34*n**2 + 33*n. Let m be p(33). Let u = 20 + -119/6. Determine c, given that m + u*c**2 + 0*c = 0.
0
Determine w, given that -71*w**2 + 10 - 10 + 32*w**2 + 38*w**2 - 7*w = 0.
-7, 0
Let a(h) = 111*h**4 + 438*h**3 + 219*h**2 - 108*h. Let g(k) = -110*k**4 - 437*k**3 - 220*k**2 + 107*k. Let j(x) = -5*a(x) - 6*g(x). What is o in j(o) = 0?
-17/5, -1, 0, 2/7
Let z be -39 + 39 + 4*(-2)/(-4). Let c(w) be the second derivative of 11/12*w**4 + 0 + 1/3*w**3 + 11*w + 0*w**z. Factor c(g).
g*(11*g + 2)
Let k = 189/964 - -13/241. Let o(i) be the first derivative of -14 + 1/3*i**3 + 0*i**2 + 0*i + k*i**4. Solve o(g) = 0 for g.
-1, 0
Let f = 143 - 185. Let j be (-7)/3 - (f - -38). What is u in j*u**3 + 5/3*u + 0 + 10/3*u**2 = 0?
-1, 0
Let k(w) be the second derivative of -2/19*w**2 + 6*w - 1/285*w**6 + 1/38*w**4 + 1/57*w**3 - 1/190*w**5 + 3. Suppose k(g) = 0. What is g?
-2, -1, 1
Let i(a) be the third derivative of -2*a**7/105 - a**6/6 - 3*a**5/5 - 7*a**4/6 - 4*a**3/3 - 95*a**2. Find j such that i(j) = 0.
-2, -1
Suppose 4*w - 18 = -6. Factor 3*n**2 - 3*n**3 - n**4 - n**4 + 0*n**w + 2*n.
-n*(n - 1)*(n + 2)*(2*n + 1)
Suppose 815*c = -320*c + 2270. Suppose -2*a = a. Solve 0*r**3 + 2/17*r**5 + a + 0*r**4 + 0*r + 0*r**c = 0 for r.
0
Factor 13456/3*l**3 + 176*l + 1740*l**2 + 16/3.
4*(4*l + 1)*(29*l + 2)**2/3
Let m(n) be the first derivative of 5*n**4/4 - 50*n**3/3 + 40*n**2 + 79. Solve m(l) = 0 for l.
0, 2, 8
Factor 2/11*t**4 + 0 - 8/11*t**2 - 8/11*t + 2/11*t**3.
2*t*(t - 2)*(t + 1)*(t + 2)/11
Let g(w) be the third derivative of -43/360*w**6 - 7/9*w**4 + 8/9*w**3 + 0*w - 1/1008*w**8 + 14*w**2 + 73/180*w**5 + 0 + 11/630*w**7. Solve g(a) = 0.
1, 4
Let b(c) = 15*c + 30. Let u be b(-2). Suppose 0 = -u*o - o + 5*h - 7, -2*h = o - 7. What is g in 2/5 - 1/5*g + 1/5*g**4 - 3/5*g**2 + 1/5*g**o = 0?
-2, -1, 1
Suppose -23/9*d**2 + 0 - 2/3*d + 4/9*d**3 = 0. Calculate d.
-1/4, 0, 6
Let n(l) be the third derivative of -l**9/2016 - 3*l**8/1120 - 3*l**7/560 - l**6/240 + 3*l**3 + 20*l**2. Let q(s) be the first derivative of n(s). Factor q(m).
-3*m**2*(m + 1)**3/2
Let 0 + 4/3*w**3 + 2/3*w**4 + 8/3*w - 14/3*w**2 = 0. What is w?
-4, 0, 1
Let u = 437 + -437. Let m(r) = -r**3 - 5*r**2 - 5*r - 2. Let s be m(-4). Suppose u + 0*i + 1/3*i**s = 0. Calculate i.
0
Let u(v) be the first derivative of 2/3*v**3 - 7/3*v**2 + 15 - 4*v. Factor u(p).
2*(p - 3)*(3*p + 2)/3
Let s(d) be the second derivative of d**6/150 + 7*d**5/100 + 11*d**4/60 + d**3/6 - 657*d. Let s(b) = 0. What is b?
-5, -1, 0
Factor 150151 - 1840*l - 150551 + 610*l**2 - 2726*l**2.
-4*(23*l + 10)**2
Let 22*o**2 + 0*o**4 - 20*o**3 + 68*o - 4*o**4 - 18*o**2 - 64 + 16 = 0. What is o?
-4, -3, 1
Let z(n) be the first derivative of 5/6*n**6 + n**5 - 5/3*n**3 + 20*n**2 - 25/4*n**4 - 20*n - 2. Let z(k) = 0. What is k?
-2, 1
Let d(p) be the second derivative of -1/4*p**4 + 0*p**3 + 3/2*p**2 - 10*p + 0. Factor d(w).
-3*(w - 1)*(w + 1)
Suppose 176 = 5*n + 51. Let 728*v + 640 + n*v**3 + 1268*v - 556*v - 390*v**2 = 0. Calculate v.
-2/5, 8
Let m(s) be the first derivative of -19 + 0*s**3 + 0*s**4 + 0*s**2 - 2/35*s**5 + 0*s + 1/21*s**6. Factor m(r).
2*r**4*(r - 1)/7
Let b(j) be the first derivative of -7*j**5/15 - j**4 + 13*j**3/3 + 16*j**2/3 - 4*j - 188. Let b(s) = 0. What is s?
-3, -1, 2/7, 2
Factor -5832/7 - 2/7*k**2 - 216/7*k.
-2*(k + 54)**2/7
Determine k so that 2/5*k + 2/15*k**2 + 2/15*k**4 - 2/5*k**3 - 4/15 = 0.
-1, 1, 2
Let w(l) = -102*l**3 + 186*l**2 - 94*l + 18. Let p(g) = -101*g**3 + 185*g**2 - 96*g + 18. Let s(z) = 4*p(z) - 3*w(z). Factor s(j).
-2*(j - 1)*(7*j - 3)**2
Let h(l) = -3*l**4 - 9*l**3 - 15*l**2 + l + 1. Let z(u) = -u**4 + u**3 - 3*u**2 + u + 1. Let f(d) = h(d) - z(d). Find k, given that f(k) = 0.
-3, -2, 0
Let d(b) be the third derivative of 0*b**4 + 1/36*b**3 + 0*b - 1/180*b**5 + 0*b**6 + 0 + 1/1260*b**7 + 12*b**2. Factor d(g).
(g - 1)**2*(g + 1)**2/6
Let i(f) = -2*f**2 + 10*f + 4. Let a = -8 + 9. Let z(y) = -y**2 + y. Let w(n) = a*i(n) - 4*z(n). Find s, given that w(s) = 0.
-2, -1
Let n = -10 - -6. Let b be (n/3)/(9/(-27)). Factor -10*p - 16*p**4 - 4*p**3 + 16*p**5 + 2*p + 32*p**2 - 4*p**3 - 12*p**