(o) = -109*o + 763. Let j be r(7). Let q(n) be the second derivative of 7/170*n**5 + 0 + 13*n + 0*n**3 - 3/85*n**6 + 1/51*n**4 + j*n**2. Factor q(x).
-2*x**2*(x - 1)*(9*x + 2)/17
Let v(h) be the second derivative of h**6/2 + 3*h**5/10 - 5*h**4/4 - h**3 + 91*h + 1. Factor v(m).
3*m*(m - 1)*(m + 1)*(5*m + 2)
Suppose -q + 2 = -5*p, -3*q - 3*p = 54 - 60. Determine b, given that -2/3*b**3 + 0 + 0*b + q*b**2 = 0.
0, 3
Let j(x) be the third derivative of -x**7/56 + x**6/9 + x**5/6 + 7*x**4/12 + 17*x**2. Let w(a) be the second derivative of j(a). Factor w(z).
-5*(z - 2)*(9*z + 2)
Let q(r) be the third derivative of r**6/120 + r**5/30 + 31*r**2. Suppose q(i) = 0. What is i?
-2, 0
Let n(h) = 6*h**3 + 54*h**2 + 96*h + 32. Let f(o) = 5*o**3 + 53*o**2 + 95*o + 28. Let i(x) = 4*f(x) - 5*n(x). What is w in i(w) = 0?
-3, -2, -4/5
Let t be (-4)/(3 + -4) - 0. Suppose t*i + 7 = 15. Find v such that 1 - 3*v**i - 3 + 5*v**2 = 0.
-1, 1
Let x be (-460)/805 + (-142)/(-14) + -7. Find s such that 24/7 - x*s**2 + 24/7*s = 0.
-2/3, 2
Let p(h) be the third derivative of 0*h - 1/240*h**6 + 1/96*h**4 - 1/280*h**7 - 1/8*h**3 - 12*h**2 + 0 + 1/40*h**5 + 1/1344*h**8. What is u in p(u) = 0?
-1, 1, 3
Let r(s) be the first derivative of -5*s**4/4 + 80*s**3/3 - 170*s**2 + 400*s + 715. Solve r(c) = 0 for c.
2, 4, 10
Factor -10/3 - 1/9*q**3 - 31/9*q - 10/9*q**2.
-(q + 2)*(q + 3)*(q + 5)/9
Let i(j) be the third derivative of 0*j**3 - 14*j**2 - 11/450*j**5 + 7/900*j**6 - j - 1/1575*j**7 + 0 + 1/36*j**4. Factor i(k).
-2*k*(k - 5)*(k - 1)**2/15
Let c(k) = 4*k**3 + k**2 - 26*k + 26. Let u be c(1). Determine x, given that -x**4 + 1/3*x**3 - 2/3*x + 0 + x**2 + 1/3*x**u = 0.
-1, 0, 1, 2
Suppose 2*i = -2*s - 36, 5*i - 26 = 4*s - 125. Let a = 24 + i. Factor -a*q**3 + 6 - 6*q + 5*q**3 - 2 + 2*q**3.
2*(q - 1)**2*(q + 2)
Solve 56/15*x + 8/5 - 2/15*x**4 + 38/15*x**2 + 4/15*x**3 = 0.
-2, -1, 6
Determine g, given that 5*g**4 + 27 + 89*g**3 + 22*g - 4*g**4 + 50*g + 66*g**2 + 2*g**4 - 65*g**3 = 0.
-3, -1
Let t(s) = -8*s**2 + 28*s + 53. Let k(q) = -39*q**2 + 138*q + 264. Let c(p) = -5*k(p) + 24*t(p). Solve c(f) = 0 for f.
-2, 8
Suppose -4*v = -3*v - 6. Let m be ((-20)/25)/(v/(-15)). Factor 45*f + 6 + 42*f**m - 17*f**2 + 14*f**2.
3*(f + 1)*(13*f + 2)
Factor -1/3 + 1/3*d - 1/3*d**3 + 1/3*d**2.
-(d - 1)**2*(d + 1)/3
Let q(o) be the third derivative of o**7/168 - 25*o**6/32 + 57*o**5/2 + 1805*o**4/24 + 361*o**2. Suppose q(i) = 0. Calculate i.
-1, 0, 38
Let m = -15/2419 + 2643/9676. Let h = m - 1/59. Suppose 0*v**2 - h*v**5 + 0 + 0*v - 1/2*v**3 - 3/4*v**4 = 0. What is v?
-2, -1, 0
Factor 4/3*o**2 + 8 + 50/3*o.
2*(o + 12)*(2*o + 1)/3
Let t(g) be the third derivative of -g**8/1848 - g**7/77 - 6*g**6/55 - 18*g**5/55 - 194*g**2. Factor t(r).
-2*r**2*(r + 3)*(r + 6)**2/11
Let p(o) = o**5 + o. Let k(c) = -c**5 + 23*c**4 - 22*c**3 - 92*c**2 - 32*c. Let r(z) = 3*k(z) + 24*p(z). Suppose r(b) = 0. Calculate b.
-3, -2, -2/7, 0, 2
Let p(k) be the second derivative of -k**6/10 - 11*k**5/28 + 4*k**4/3 - 10*k**3/21 - 8*k**2/7 + 34*k. Solve p(n) = 0.
-4, -2/7, 2/3, 1
Let b be -1 + 1/(28/36). Let g = 3/31 + 10/217. Factor g*d**4 + b*d**2 - 3/7*d**3 + 0*d + 0.
d**2*(d - 2)*(d - 1)/7
Let a(w) be the second derivative of w**2 + 0 - 1/12*w**4 + 13*w + 1/6*w**3. Solve a(y) = 0.
-1, 2
Suppose -14 + 0 = -2*h. Let y be 4/(-22) - (-114)/22. Factor -6 - h*t + 16*t + t**2 + t**2 - y*t**2.
-3*(t - 2)*(t - 1)
Let c(q) be the second derivative of q**7/210 + 7*q**6/150 - 17*q**5/100 - 83*q**4/60 - 46*q**3/15 - 16*q**2/5 - 132*q. Suppose c(o) = 0. Calculate o.
-8, -1, 4
Let a(i) be the third derivative of -1/80*i**6 - 1/420*i**7 + 0 + 1/24*i**5 + 0*i - 1/24*i**4 + 0*i**3 + 1/672*i**8 + 8*i**2. Find h such that a(h) = 0.
-2, 0, 1
Let t(w) be the third derivative of 0*w + 0 - 1/6*w**3 - 10*w**2 - 1/60*w**5 + 5/48*w**4. Let t(r) = 0. What is r?
1/2, 2
Let i(x) = 7*x**2 - x + 1. Let z be 5/25*1*5. Let p be i(z). Factor -b**3 + p*b + b + 8*b**2 + 3*b**3.
2*b*(b + 2)**2
Let i = 2 + 5. Suppose -i = -2*n + s, -5*n + 2 = 5*s + 7. Factor 3*b**4 - 9 - b**n - 2*b**2 + 9.
3*b**2*(b - 1)*(b + 1)
Let m = -4 + 6. Let v(j) = -j**4 + j**3 - j**2 - j - 1. Let a(k) = -k**3 - 4*k**2 + 7*k - 5. Let l(t) = m*a(t) - 2*v(t). Let l(w) = 0. Calculate w.
-2, 1, 2
Suppose 37*v = v + 2*v + 2*v. Let 8/13*q**3 + 0*q - 2/13*q**4 + v + 0*q**2 = 0. What is q?
0, 4
Let d be 5*((-24)/30)/(-2). Let l be (-1 - d/(-10))/((-14)/35). Factor -1/2 - 3*v - l*v**3 - 9/2*v**2.
-(v + 1)**2*(4*v + 1)/2
Suppose -35/2 + 69/4*x + 1/4*x**2 = 0. What is x?
-70, 1
Let a(b) be the second derivative of -b**9/30240 + b**8/6720 + b**7/5040 - b**6/720 - b**4/6 + 12*b. Let g(f) be the third derivative of a(f). Factor g(l).
-l*(l - 2)*(l - 1)*(l + 1)/2
Let k(j) be the second derivative of j**4/66 + 17*j**3/33 + 30*j**2/11 - 216*j. Factor k(q).
2*(q + 2)*(q + 15)/11
Let g(x) be the second derivative of -x**5/5 - 7*x**4/3 - 4*x**3 + 2*x + 19. Solve g(f) = 0.
-6, -1, 0
Suppose -25*u = -23*u - 16 + 10. Factor -h**u - 3/5*h + 0 - 1/5*h**4 - 7/5*h**2.
-h*(h + 1)**2*(h + 3)/5
Suppose 0 = -3*j + 4*t + 25, 1348*j - 1347*j = -4*t - 13. Factor -38/15*y + 8/15 + 22/15*y**2 + 8/15*y**j.
2*(y - 1)*(y + 4)*(4*y - 1)/15
Solve 16/7 + 2/7*a**2 + 18/7*a = 0.
-8, -1
Suppose 0 = -60*z + 72*z. Let z - 2/5*k**2 + 6/5*k = 0. What is k?
0, 3
Let t = 243/10 - 24. Let g(q) be the second derivative of 0 + t*q**5 + q**2 - 6*q - q**3 + 1/6*q**4 - 2/15*q**6. Determine d so that g(d) = 0.
-1, 1/2, 1
Let u(m) = -7*m**5 + 19*m**4 - 20*m**3 + 8*m**2 + 3*m + 3. Let t(i) = -13*i**5 + 37*i**4 - 40*i**3 + 16*i**2 + 5*i + 5. Let z(b) = 3*t(b) - 5*u(b). Factor z(h).
-4*h**2*(h - 2)*(h - 1)**2
Let b(t) be the first derivative of -t**2 - 32 + 3*t - 1/3*t**3. Let b(w) = 0. Calculate w.
-3, 1
Let i(u) be the third derivative of -u**9/45360 - u**8/10080 - u**7/7560 + u**4/24 + 12*u**2. Let s(w) be the second derivative of i(w). Factor s(z).
-z**2*(z + 1)**2/3
Factor 21/11*p + 104/11 + 1/11*p**2.
(p + 8)*(p + 13)/11
Suppose -13*t**3 + 11 - 8*t**2 + 3*t - 7*t**2 + 11*t**3 + 4 - t**3 = 0. Calculate t.
-5, -1, 1
Determine k, given that 7/4*k**2 + 1/4*k**3 + 9/4 - 17/4*k = 0.
-9, 1
Let y be 26/52*(-1 - -445). Find k such that y*k + 4*k**3 - 64 - 382*k - 32*k**2 + 240*k = 0.
2, 4
Factor 2*v + 0 + 7/6*v**2 + 1/6*v**3.
v*(v + 3)*(v + 4)/6
Let k(u) be the third derivative of -u**5/30 + u**4/6 + 8*u**3 + 5*u**2 - 9*u. What is s in k(s) = 0?
-4, 6
Let t be 35/90 + 7/(-21). Let j(m) be the first derivative of 1/12*m**4 + 0*m**2 + 1/9*m**3 - 11 - 1/15*m**5 + 0*m - t*m**6. Factor j(n).
-n**2*(n - 1)*(n + 1)**2/3
Let -24/5 - 3/5*v**2 + 27/5*v = 0. What is v?
1, 8
Factor -45/2*o**3 - 117/2*o**2 - 18 - 111/2*o - 3/2*o**4.
-3*(o + 1)**3*(o + 12)/2
Suppose 9*r - 12 = 5*r. Suppose 35*q + 29 = 204. Find w such that -q*w**2 + 4*w**2 - 4*w**5 + w**4 + 3*w**5 + w**r + 0*w**3 = 0.
-1, 0, 1
Let a(l) be the second derivative of -l**5/40 + 17*l**4/24 + 207*l. Find v, given that a(v) = 0.
0, 17
Let l = 298 + -585. Let s = l + 290. Factor 4*h**2 + 12/5 + 4/5*h**s + 28/5*h.
4*(h + 1)**2*(h + 3)/5
Let y be (22/(-88))/(15/(-36)). Factor 3/5*i**3 + 3/5 - 3/5*i**2 - y*i.
3*(i - 1)**2*(i + 1)/5
Let j(k) be the second derivative of 1/168*k**7 - 1/8*k**3 + 1/24*k**4 + 6*k + 1/40*k**5 - 1/40*k**6 + 0 + 1/8*k**2. Find h such that j(h) = 0.
-1, 1
Factor -1/8*a**2 + 51/8*a - 25/4.
-(a - 50)*(a - 1)/8
Let m(n) be the second derivative of n**5/12 - 25*n**4/18 - 10*n**3/9 + 100*n**2/3 + 201*n. Factor m(d).
5*(d - 10)*(d - 2)*(d + 2)/3
Let x(b) be the first derivative of 0*b - 1/27*b**6 - 31 - 5/18*b**4 + 8/45*b**5 + 0*b**2 + 4/27*b**3. Suppose x(k) = 0. Calculate k.
0, 1, 2
Suppose 2*l = -o + 8, -3*l + 11*o = 10*o - 7. Factor 5/4*v**2 - 1/4*v**l + 1 - 2*v.
-(v - 2)**2*(v - 1)/4
Let g(w) = -w**3 - 12*w**2 - 16*w - 10. Let u be g(-11). Factor u*p**2 + 5*p**4 + 32*p**2 + 20*p**3 + 31*p**2 - 83*p**2 + 10*p.
5*p*(p + 1)**2*(p + 2)
Let w be (0 - 1)*0/(-259). Solve w*y - 4/3 + 1/3*y**2 = 0.
-2, 2
Let j(c) be the second derivative of c**6/90 + 3*c**5/5 + 27*c**4/2 + 3*c**3 - 19*c. Let z(w) be the second derivative of j(w). Factor z(n).
4*(n + 9)**2
Factor 5*s**5 - 185*s**2 + 7300*s**3 + 33*s - 55*s**4 - 7135*s**3 + 37*s.
5*s*(s - 7)*(s - 2)*(s - 1)**2
Determine a, given that 7461*a**5 - 7356