c**4 - 1/7*c + 1/35*c**5 + a*c**3 - 6. Factor g(f).
(f - 1)**3*(f + 1)/7
Factor 2/19*t**3 - 704/19*t + 728/19 - 26/19*t**2.
2*(t - 26)*(t - 1)*(t + 14)/19
Let z(b) be the second derivative of -b**6/120 - b**5/5 + 37*b**4/16 + 21*b**3/4 + 1810*b - 4. Suppose z(p) = 0. What is p?
-21, -1, 0, 6
Let k(t) be the third derivative of -t**5/240 + 125*t**4/96 - 41*t**3/4 + 178*t**2 + t + 1. Let k(q) = 0. Calculate q.
2, 123
Let i be (19/8 - 2) + 7231430/546800. Factor 236/5*s + 16 - 4/5*s**4 + i*s**3 + 228/5*s**2.
-4*(s - 20)*(s + 1)**3/5
Let h(t) be the third derivative of t**9/181440 - t**8/6048 - t**5/12 + 11*t**3/6 + 117*t**2 + t. Let a(r) be the third derivative of h(r). Solve a(v) = 0.
0, 10
Suppose 2*j = 5*l + 21, 75*j - 76*j + l + 6 = 0. Let a(h) be the first derivative of 0*h**2 - h**5 + 0*h - 10/3*h**j - 15/4*h**4 + 9. Factor a(v).
-5*v**2*(v + 1)*(v + 2)
Let l(w) be the second derivative of w**5/90 + 13*w**4/54 + 44*w**3/27 + 32*w**2/9 - 6*w - 2. Factor l(u).
2*(u + 1)*(u + 4)*(u + 8)/9
Let b(x) be the third derivative of -x**6/108 + 41*x**5/270 - 731*x**2. Find g, given that b(g) = 0.
0, 41/5
Let w(n) be the third derivative of 49*n**6/160 - 5383*n**5/8 + 7687*n**4/8 - 549*n**3 - 108*n**2 - 2*n - 3. Solve w(z) = 0.
2/7, 1098
Let h = -164607 + 329215/2. Find b, given that -b**4 - 2*b**3 + 0*b + 4*b**2 + h*b**5 + 0 = 0.
-2, 0, 2
Let q(m) be the second derivative of -m**5/20 - 22*m**4/3 + 89*m**3/6 - 8744*m - 2. Let q(t) = 0. Calculate t.
-89, 0, 1
Let p(y) = -6*y - 40. Let a be p(-7). Determine w so that -1830*w + 4*w**3 + 8 + 1850*w + 26*w**2 - 10*w**a = 0.
-2, -1
Let s(o) be the second derivative of -o**6/15 - 57*o**5/5 - 460*o**4 + 27938*o**3/3 - 55815*o**2 - 8490*o. Solve s(z) = 0.
-61, 3, 5
Let t = 5/33753 - -134977/236271. Determine y, given that 2/7*y**4 + 8/7 - 10/7*y**2 - 16/7*y + 20/7*y**3 - t*y**5 = 0.
-2, -1, 1/2, 1, 2
Let t(l) be the first derivative of -4*l**5/5 + 1672*l**4 - 1397792*l**3 + 584277056*l**2 - 122113904704*l - 242. Factor t(b).
-4*(b - 418)**4
Let v(w) = -18*w**2 + 91*w - 47. Let m(r) = 7*r**2 - 31*r + 16. Let s(q) = -8*m(q) - 3*v(q). Find g such that s(g) = 0.
-13, 1/2
Suppose -7*j - 4*y = -8*j + 20, j = -y + 10. Let o be (-32)/8*1 + j/3. Factor k + o - 1/2*k**2.
-k*(k - 2)/2
Solve 3128 - 4*t**2 - 96*t - 834 + 684*t + 2666 = 0 for t.
-8, 155
Let k(o) = -4*o**2 - 4*o - 18. Let v(t) = -11*t**2 - 12*t - 37. Let z(a) = -10*k(a) + 4*v(a). Factor z(u).
-4*(u - 2)*(u + 4)
Let y(l) be the first derivative of -l**6/21 + 32*l**5/35 - 87*l**4/14 + 328*l**3/21 + 4*l**2 - 480*l/7 - 2677. Let y(r) = 0. What is r?
-1, 2, 4, 5, 6
Determine y, given that -23*y + 12*y - 78 - 20*y + y**2 - 384 = 0.
-11, 42
Suppose -28286*d = -28385*d + 396. Factor -2/7*c**d - 16/7*c - 20/7*c**3 + 0 - 34/7*c**2.
-2*c*(c + 1)**2*(c + 8)/7
Suppose -1247*g = 3081*g - 12984. Factor -16/3*w**g + 41/3*w**2 + 0 + 1/3*w**4 - 26/3*w.
w*(w - 13)*(w - 2)*(w - 1)/3
Let m(o) be the third derivative of o**6/40 + 19*o**5/20 + 37*o**4/4 + 28*o**3 - 86*o**2. Find a, given that m(a) = 0.
-14, -4, -1
Let u(o) be the second derivative of o**6/6 + 183*o**5/20 + 64*o**4 + 518*o**3/3 + 192*o**2 + 2456*o. Factor u(v).
(v + 2)**2*(v + 32)*(5*v + 3)
Let i(k) = 81*k**2 - 1573*k. Let b(m) = 445*m**2 - 7869*m. Let h(l) = -4*b(l) + 22*i(l). Let h(q) = 0. What is q?
0, 1565
Let l(c) = -3*c**2 - 27*c - 48. Let a be l(-6). Factor 1044*i**2 + a + 60*i - 1062*i**2 - 8*i**3 + 10.
-2*(i - 2)*(i + 4)*(4*i + 1)
Let y(k) be the first derivative of -210 - 1/5*k**6 + 28/5*k**2 + 44/5*k**3 - 79/10*k**4 - 16*k + 56/25*k**5. Determine b, given that y(b) = 0.
-2/3, 1, 2, 5
Let o = 4300381/9 - 477820. Factor -8/3*c - o*c**2 + 25/9.
-(c - 1)*(c + 25)/9
Let f be (-2196)/(-63)*(-35)/(-10). Suppose -125 + f = -l. What is b in 0 + 3*b**l + 0*b + 6/7*b**4 + 6/7*b**2 - 9/7*b**5 = 0?
-1, -1/3, 0, 2
Let o be 184368/(-3864) + 52 + -2. Factor o*v**2 - 2/7*v**4 - 96/7*v + 10/7*v**3 + 0.
-2*v*(v - 4)**2*(v + 3)/7
Suppose -340 + 1274 - 646 = 72*n. Let 0 + 0*f - 2/9*f**5 + 0*f**2 + 4/9*f**3 - 2/9*f**n = 0. What is f?
-2, 0, 1
Let l = -97975/4 + 24505. Let m(i) be the second derivative of -1/4*i**5 + 7*i + l*i**4 + 0 - 405/2*i**3 + 3645/2*i**2. Factor m(x).
-5*(x - 9)**3
Let v(i) be the first derivative of -8 + 0*i - 11/24*i**6 + 0*i**3 + 3/4*i**5 + 5/12*i**4 - 8*i**2. Let m(f) be the second derivative of v(f). Factor m(x).
-5*x*(x - 1)*(11*x + 2)
Factor 1/4*x**3 + 233/4*x + 0 - 117/2*x**2.
x*(x - 233)*(x - 1)/4
Let s(x) be the third derivative of -121*x**8/112 - 33*x**7/35 + 227*x**6/8 - 461*x**5/5 + 144*x**4 - 128*x**3 - 8*x**2 - 18*x. Solve s(b) = 0 for b.
-4, 8/11, 1
Let l(t) = -10*t - 1. Let v(z) = 1184*z**2 - 86*z - 1. Let g(n) = 3*l(n) + v(n). Factor g(s).
4*(8*s - 1)*(37*s + 1)
Factor 2/11*t**5 - 200/11*t**3 + 0 + 18*t**4 + 0*t**2 + 0*t.
2*t**3*(t - 1)*(t + 100)/11
Let m(s) be the second derivative of -7*s**4/30 + 13*s**3/30 + s**2/10 + 2308*s + 1. Let m(i) = 0. What is i?
-1/14, 1
Suppose 2*r + 4*k - 22 = 0, 4*k - 6 = -r + 7. Find i, given that -59*i**4 - 12*i**5 - 56*i**4 + 46*i**4 + 6*i**2 + r*i**3 + 66*i**5 = 0.
-2/9, 0, 1/2, 1
Factor 2/3*v**3 - 128*v + 2048/3 + 0*v**2.
2*(v - 8)**2*(v + 16)/3
Let z(b) = -8*b**4 + 70*b**3 + 68*b**2 - 364*b + 204. Let r(h) = -h**4 + h**2 - 3*h. Let y(v) = -10*r(v) + z(v). Factor y(i).
2*(i - 1)**2*(i + 3)*(i + 34)
Find q such that -56889 - q**2 + 6324*q - 45511 + 6525*q - 12209*q = 0.
320
Let h = 1177703/15 - 392536/5. Solve -h*g**2 + 4/3*g**5 + 0 + 16/3*g**4 + 5/3*g**3 + 2*g = 0.
-3, -2, 0, 1/2
Let h(z) be the first derivative of 47*z**3/6 + 45*z**2/4 - z - 370. Factor h(s).
(s + 1)*(47*s - 2)/2
Let v(t) be the first derivative of t**5/45 - 17*t**4/18 - 35*t**3/27 + 9373. Factor v(q).
q**2*(q - 35)*(q + 1)/9
Factor 44*a**3 - 74*a**3 + 15*a**2 + 35*a**3 - 3*a - 17*a.
5*a*(a - 1)*(a + 4)
Let q = -47092 + 47104. Let s(d) be the second derivative of 0 + 1/90*d**5 + 1/135*d**6 - 4/9*d**2 - 1/6*d**4 + q*d + 11/27*d**3. Factor s(t).
2*(t - 1)**3*(t + 4)/9
Let g(f) = -f**3 - 40*f**2 - 40*f - 30. Let w be g(-39). Factor -509*n**2 - n - w + 4*n + 514*n**2 + n**3.
(n - 1)*(n + 3)**2
Suppose 9399*k = 9377*k. Let n(g) be the second derivative of 43*g + k*g**2 + 1/12*g**4 + 0 + 0*g**3 + 1/20*g**5. Factor n(x).
x**2*(x + 1)
Let i(c) = c**3 - 4*c**2 + 5*c - 18. Let g be i(5). Suppose -2*x = -g + 28. Find h, given that 1/6*h - 1/3 + 1/6*h**x = 0.
-2, 1
Solve -27/2*p - 119/8*p**2 - 13/8*p**4 - 1/8*p**5 - 9/2 - 59/8*p**3 = 0.
-6, -3, -2, -1
Let m be (5 + 7389/18)*2. Factor -19 - 40*x - 1 - m*x**2 + 816*x**2 + 10*x**3 + 5*x**4.
5*(x - 2)*(x + 1)**2*(x + 2)
Let w(y) be the third derivative of -y**6/1080 - y**5/45 + 133*y**3/6 - 169*y**2. Let f(g) be the first derivative of w(g). Determine q, given that f(q) = 0.
-8, 0
Let b(j) be the third derivative of -j**7/180 + j**6/72 + j**5/30 + 53*j**4/8 - 88*j**2. Let n(c) be the second derivative of b(c). Find o such that n(o) = 0.
-2/7, 1
Suppose 0 = -22*y + 14*y + 1272. Suppose -3 - y*d + 326*d + d**2 - 165*d = 0. Calculate d.
-3, 1
Suppose 5*l + 3*l = 32. Suppose -d = -2*c - 2*c + 13, 0 = l*d - c - 8. Factor 87*o + 0 - 75*o + d*o**2 + 7 + 5.
3*(o + 2)**2
Suppose 0 = 5*y - 5*q - 1359 - 331, -1681 = -5*y - 4*q. Let m = -8421/25 + y. Suppose 4/25*g**2 + m - 8/25*g**4 - 2/5*g + 2/25*g**5 + 8/25*g**3 = 0. What is g?
-1, 1, 2
Let b(t) be the second derivative of -t**4/4 + 75*t**3/2 - 111*t**2 + 3090*t. Suppose b(n) = 0. Calculate n.
1, 74
Let p(b) be the second derivative of b**4/12 - 231*b**3/2 + 691*b**2 - 14736*b. Factor p(c).
(c - 691)*(c - 2)
Let w(i) be the second derivative of 0 - 75*i - 5/24*i**4 - 25/4*i**3 + 20*i**2. Factor w(v).
-5*(v - 1)*(v + 16)/2
Let p(q) be the first derivative of q**4/28 - 82*q**3/21 + 23*q**2/2 - 80*q/7 + 559. Factor p(l).
(l - 80)*(l - 1)**2/7
Suppose -2/5*o**3 + 424/5*o + 2*o**2 + 792/5 = 0. What is o?
-11, -2, 18
Factor -6000/7 + 3/7*i**3 + 600/7*i + 15*i**2.
3*(i - 5)*(i + 20)**2/7
Let z(m) = -m**5 - m**2 - 1. Let g(d) = -12*d**5 + 26*d**4 + 90*d**3 + 84*d**2 + 32*d - 10. Let l(u) = g(u) - 10*z(u). Factor l(w).
-2*w*(w - 16)*(w + 1)**3
Let m(g) be the third derivative of 18*g**2 + 3/16*g**4 + 0 + 1/2*g**3 + 0*g + 1/40*g**5. Determine j so that m(j) = 0.
-2, -1
Let l(p) = -p**3 + 13*p**2 + 13*p + 14. Let q