u**3 - 2*u**3 - 5*u**2 - 6*u - u**k.
-3*u*(u + 1)*(u + 2)
Let k(o) be the second derivative of -10*o + 2*o**2 + 0 - 3/10*o**5 + 5/3*o**4 - 3*o**3. Factor k(j).
-2*(j - 2)*(j - 1)*(3*j - 1)
Let f be (-3850)/88*3/(21/(-2)). Find v, given that 15*v**4 - f*v**3 + 0 + 2*v + 0*v**2 - 9/2*v**5 = 0.
-1/3, 0, 2/3, 1, 2
Suppose -24 = 13*s - 17*s. Let k(g) be the third derivative of 0 - 1/4*g**4 + 0*g - 1/240*g**s - 2/3*g**3 - 1/20*g**5 + 3*g**2. Solve k(l) = 0 for l.
-2
Suppose 2*o + 2*o = -40. Let a(l) = 5*l**2 + 2. Suppose -4*h - h + 5*p = -20, -p + 4 = h. Let x(y) = 10*y**2 + y + 5. Let d(q) = h*x(q) + o*a(q). Factor d(u).
-2*u*(5*u - 2)
Factor 3/7*d**2 + 396/7 - 204/7*d.
3*(d - 66)*(d - 2)/7
Let b = 838043/223476 - 2/55869. Find i such that 25/4*i**4 - b*i - 5*i**5 + 35/4*i**2 + 95/4*i**3 + 0 = 0.
-1, 0, 1/4, 3
Let u(w) = 8*w**4 + 8*w**3 - 3*w**2 + 7*w - 5. Let t(q) = 9*q**4 + 9*q**3 - 3*q**2 + 9*q - 6. Let k(b) = -5*t(b) + 6*u(b). Solve k(c) = 0.
-1, 0, 1
Let k(a) = 27*a**2 + 275*a + 52. Let j be k(-10). Suppose -1/3*r**j - 12 + 4*r = 0. Calculate r.
6
Suppose 0 = 24*t + 201 + 87. Let c be (0 - t/21)/((-6)/(-21)). Factor -2/13*j**c - 2/13*j + 2/13*j**3 + 2/13.
2*(j - 1)**2*(j + 1)/13
Let f(n) be the second derivative of n**6/1260 + n**5/84 + n**4/21 - 3*n**3/2 - 4*n. Let d(o) be the second derivative of f(o). Let d(u) = 0. Calculate u.
-4, -1
Let y = -4/31 + 199/1302. Let g(u) be the third derivative of 2/105*u**5 + 8*u**2 - 1/210*u**6 + 0*u**3 + 0*u + 0 - y*u**4. Find m such that g(m) = 0.
0, 1
Let v(y) be the third derivative of y**10/30240 - y**9/2016 + 5*y**8/4032 + y**5/30 + 27*y**2. Let j(n) be the third derivative of v(n). Factor j(o).
5*o**2*(o - 5)*(o - 1)
Factor -867/4 - 765/4*u + 99/4*u**2 - 3/4*u**3.
-3*(u - 17)**2*(u + 1)/4
Factor 103*s**2 + 741*s - 246 + 107*s**2 - 219*s**2.
-3*(s - 82)*(3*s - 1)
Let n be (1656/96)/23 - (-2)/(-8)*3. Factor n + 0*q**3 + 0*q**2 - 2/3*q**4 + 0*q.
-2*q**4/3
Let p(n) be the third derivative of -3*n**5/20 + 5*n**4/2 + 7*n**3/2 + 14*n**2 - 10*n. Factor p(y).
-3*(y - 7)*(3*y + 1)
Suppose 3*r + 0*x - 14 = -2*x, -2*r = -5*x + 16. Find z, given that 2 - 4*z**2 + 0 + 28*z - 31*z + 5*z**r = 0.
1, 2
Let r = -30154 - -30156. Find j such that 32/3*j - 8/3*j**3 + 0 - 16/3*j**r + 4/3*j**4 = 0.
-2, 0, 2
Let r(s) be the second derivative of -1/8*s**4 - 30*s + 3/80*s**5 + 0 + 9/4*s**2 - 5/8*s**3. Determine j, given that r(j) = 0.
-2, 1, 3
Let s = -62 - -85. Suppose u = -s + 28. Factor -1/8*c**u + 1/4*c**2 + 3/8*c**3 + 0*c**4 + 0 + 0*c.
-c**2*(c - 2)*(c + 1)**2/8
Suppose 186*j - 32*j = 308. Factor -12/7*u**j + 0 + 3/7*u.
-3*u*(4*u - 1)/7
Let o(r) = -r**3 - 5*r**2 + 11*r + 4. Let d be o(-7). Suppose d - 16 = 3*h. Factor -2/5*j**2 - 2*j - 6/5 + 2/5*j**h.
2*(j - 3)*(j + 1)**2/5
Let i = 32 + -23. Let c(m) = -m**2 + 9*m. Let s be c(i). Solve s*b**2 - 1/4*b**3 + 1/4*b + 0 = 0 for b.
-1, 0, 1
Let 4/11*n**2 + 2/11*n**4 + 0 + 6/11*n**3 + 0*n = 0. What is n?
-2, -1, 0
Let r(x) be the second derivative of 1/30*x**5 + 1/12*x**4 + 5*x + 0*x**3 + 0 - 5/2*x**2. Let o(f) be the first derivative of r(f). Factor o(a).
2*a*(a + 1)
Let q = -11807/6 - -1962. Let d = 19/3 + q. Factor -1/2*m + 0 + 0*m**2 + d*m**3.
m*(m - 1)*(m + 1)/2
Let g(h) be the third derivative of h**6/40 + 3*h**5/20 - 9*h**4/8 + 5*h**3/2 - 24*h**2. Solve g(v) = 0 for v.
-5, 1
Let d(h) be the third derivative of -h**7/3780 + h**6/180 - h**5/20 - h**4/12 + 3*h**2. Let m(v) be the second derivative of d(v). Solve m(n) = 0.
3
Factor -17*c**2 - 9*c**3 - 3*c**2 - c**3 + 7*c**4 + 34*c - 24*c - 2*c**4 + 15.
5*(c - 3)*(c - 1)*(c + 1)**2
Let q = -1325 - -1335. Let v(y) be the first derivative of 0*y - 4/5*y**3 + 2/5*y**4 + q + 2/5*y**2. Determine k, given that v(k) = 0.
0, 1/2, 1
Let n = -13 - -13. Suppose n = i - 3. Factor 8*q**2 - 7*q**i + 4*q**5 + 4*q + 4*q - 9*q**3 - 8 + 4*q.
4*(q - 1)**3*(q + 1)*(q + 2)
Let o = -17 + 20. Let y(w) = 4*w**2 - 9*w + 3. Let z(d) = -d**2 + d + 1. Let m(u) = o*y(u) + 3*z(u). Factor m(b).
3*(b - 2)*(3*b - 2)
Let u = -107 - -96. Let z(j) = 3*j**3 + 5*j**2 - 4*j + 2. Let h(q) = -16*q**3 - 26*q**2 + 20*q - 11. Let o(w) = u*z(w) - 2*h(w). Solve o(k) = 0 for k.
-4, 0, 1
Suppose 0 = -4*z - 3*b + 24, z = 14*b - 16*b + 11. What is d in -6/7*d**4 + 2/7 + 0*d - 12/7*d**2 + 16/7*d**z = 0?
-1/3, 1
Let l be -2*(1 - (5 - 3)). Let n(h) be the second derivative of -2*h + 0 + 5/48*h**4 + 1/24*h**3 + 3/80*h**5 - 1/8*h**l. Factor n(i).
(i + 1)**2*(3*i - 1)/4
Let o(k) be the third derivative of k**8/3192 - 7*k**6/1140 - k**5/285 + k**4/19 + 8*k**3/57 - 78*k**2. Find b such that o(b) = 0.
-2, -1, 2
Let z(j) be the third derivative of -1/6*j**4 - 16*j**2 - 1/360*j**6 + 0 - 4/9*j**3 - 1/30*j**5 + 0*j. Determine k, given that z(k) = 0.
-2
Let j be -24 - (-1 + 1 + 1). Let h = j - -28. Factor 30 - 3*t**2 - h*t**3 - 18 - 6*t**2.
-3*(t - 1)*(t + 2)**2
Suppose k - 1 = 4*m - 4, 3*m = -2*k + 16. Determine f so that 92*f - 32*f**4 + 19*f**5 - 138*f**2 + 96*f**3 - 15*f**k + 2*f**2 - 24 = 0.
1, 2, 3
Factor 7*m**3 + 21*m**2 + 3*m**5 + 18*m - 62*m**4 - 16*m**3 + 53*m**4.
3*m*(m - 3)*(m - 2)*(m + 1)**2
Let a(o) = o**3 - 9*o**2 + 9*o. Let b be a(8). Let p = b - 0. Determine k so that -2*k**2 + 0 - 9*k + k - p = 0.
-2
Let q(m) be the third derivative of 0*m**3 + 0*m**4 + 11*m**2 + 0*m - 1/30*m**6 - 1/5*m**5 + 0. Factor q(x).
-4*x**2*(x + 3)
Factor -4*y**3 + 0*y + 1/2*y**5 + 1/2*y**4 + 0 - 6*y**2.
y**2*(y - 3)*(y + 2)**2/2
Let c(w) = -6*w**3 + 2*w**2 + 22*w - 10. Let v(r) = -r**3 + 2*r**2 + r. Let p(k) = -c(k) + 4*v(k). Factor p(q).
2*(q - 1)**2*(q + 5)
Let r(o) be the first derivative of -o**8/84 + 4*o**7/105 + 22*o**2 + 2. Let l(p) be the second derivative of r(p). Factor l(h).
-4*h**4*(h - 2)
Suppose 0 = -14*m - 1024 + 1052. Let w(s) be the first derivative of 0*s**4 - s**m - s**3 + 1/5*s**5 + 0*s + 5. Factor w(l).
l*(l - 2)*(l + 1)**2
Let j(d) be the third derivative of -d**6/720 + 2*d**5/45 - 5*d**4/48 - 2*d**2 - 108. Solve j(m) = 0 for m.
0, 1, 15
Let s(n) be the first derivative of 3*n**4/4 - 13*n**3 - 3*n**2/2 + 39*n + 178. Let s(v) = 0. Calculate v.
-1, 1, 13
Let j = -9 - -10. Let v = j - -4. Factor -17*n + 8*n**3 - 28*n**3 - 32*n**2 - 9*n**4 + v*n**4 + n.
-4*n*(n + 1)*(n + 2)**2
Factor -2/11*n**2 + 140/11*n - 138/11.
-2*(n - 69)*(n - 1)/11
Let j(h) be the first derivative of 5*h**3/6 + 35*h**2/2 + 65*h/2 - 172. Let j(f) = 0. Calculate f.
-13, -1
Let b = -2/1087 - -3301/21740. Let z(c) be the second derivative of 0 - 1/28*c**7 + b*c**5 - 1/4*c**3 + 1/20*c**6 - c - 1/4*c**4 + 3/4*c**2. Factor z(i).
-3*(i - 1)**3*(i + 1)**2/2
Let v = 0 + 2. Let a be ((-240)/42)/(-20) - 2/7. Find q, given that a*q - 8/9*q**3 + 0 + 2/3*q**4 + 2/9*q**v = 0.
0, 1/3, 1
Factor -9/2*h + 3 + 3/2*h**2.
3*(h - 2)*(h - 1)/2
Let h(x) = -88*x + 1 + 1 + 78*x. Let y(b) = 3*b**2 + 9 - 11*b - 18*b - 2*b**2 - 3. Let j(w) = 8*h(w) - 3*y(w). Factor j(p).
-(p - 2)*(3*p - 1)
Factor 7/4*u**3 - 9/2*u**2 + 1/4*u**4 + 0 + 0*u.
u**2*(u - 2)*(u + 9)/4
Let b be (-5)/450*866 - (-4)/18. Let w = -9 - b. Find j such that 0 + 8/5*j**2 + w*j**5 + 8/5*j**4 + 2/5*j + 12/5*j**3 = 0.
-1, 0
Let t(l) = -4*l**4 - 8*l - 31 - 2*l**2 - 2*l**4 + 8*l**3 + 4*l**4 + 27. Let d(k) = 2*k**4 - 9*k**3 + 3*k**2 + 9*k + 5. Let h(b) = -4*d(b) - 5*t(b). Factor h(r).
2*r*(r - 2)*(r - 1)*(r + 1)
Let i(f) be the second derivative of f**5/5 - 5*f**4/9 - 4*f**3/9 + 325*f. What is d in i(d) = 0?
-1/3, 0, 2
Let m(q) be the third derivative of -q**5/210 + q**4/14 - 3*q**3/7 - 25*q**2 + 2. Factor m(g).
-2*(g - 3)**2/7
Let q = 9704 - 9702. Suppose -4*f**3 - 7/3*f**4 - f**q + 0 + 2/3*f = 0. Calculate f.
-1, 0, 2/7
Let b(o) be the third derivative of -5*o**8/112 - 2*o**7/21 + 5*o**6/24 + o**5/6 - 231*o**2. Let b(s) = 0. What is s?
-2, -1/3, 0, 1
Determine l so that -343*l**3 - 345*l**3 + l**4 + 702*l**3 = 0.
-14, 0
Let k be ((-4)/6)/((-500)/492 - -1). Let s be (-9 + -3)*(k/21 - 2). Let 0 + 2/7*w**5 + 0*w + 0*w**2 + s*w**4 + 2/7*w**3 = 0. Calculate w.
-1, 0
Suppose -13*o + 6*o = -35. Let 9*n**o - 8*n**5 + 1 - 10*n**3 - 20*n**2 - 5 - 15*n = 0. Calculate n.
-1, 4
Let m(x) be the second derivative of -x**5/20 - x**4/4 + x**3/6 + 3*x**2/2 - 47*x. Factor m(y).
-(y - 1)*(y + 1)*(y + 3)
Let f(o) be the third derivative of -o**5/10 - 17*o**4/3 - 44*o**3/3 - o**2 + 44*o. Fa