*s**5 - 3/2*s**4. Factor z(c).
2*c**2*(c - 2)*(c - 1)
Let b(c) be the third derivative of 0 + 0*c + 1/420*c**7 - 13/120*c**5 + 202*c**2 + 0*c**3 + 1/120*c**6 + 5/24*c**4. Suppose b(r) = 0. What is r?
-5, 0, 1, 2
Determine q so that -289492*q**4 - 515*q**2 + 3*q**5 + 220*q + 2*q**5 + 375*q**3 + 289407*q**4 = 0.
0, 1, 4, 11
Let t(m) = -m**3 + 40*m**2 - 184*m + 218. Let s be t(2). Determine g, given that 1/3*g**4 - 58*g + 33 - 6*g**3 + 92/3*g**s = 0.
1, 3, 11
Let t(o) be the third derivative of o**5/120 + 19*o**4/6 + 151*o**3/12 + 6*o**2 + 17. Let t(g) = 0. What is g?
-151, -1
Let j be 6 + (-39)/6 + -8. Let q = j + 12. Factor -1 - 5/2*m**2 + q*m.
-(m - 1)*(5*m - 2)/2
Let s be 3*(-6 + 176/24 + 0). Let k be (-15)/(-90) - s/(-48). Solve k*n**2 + 1/4*n**4 + 0*n + 0 - 1/2*n**3 = 0 for n.
0, 1
Let b be ((-12)/20)/(5/((-190)/57)). Let k = 1197/80 + -9/16. Let -k - b*q**2 + 24/5*q = 0. Calculate q.
6
Suppose -10*g - 9 = -13*g. Solve -26*v**2 - v**3 + 6*v - v**3 + 4*v**g + 18*v**2 = 0 for v.
0, 1, 3
Let u = -487312 + 487317. Suppose 0 - 2/11*v**u + 42/11*v**2 - 10/11*v**4 + 36/11*v - 2/11*v**3 = 0. Calculate v.
-3, -1, 0, 2
Let u(f) be the third derivative of f**7/350 + 9*f**6/40 - 23*f**5/50 + 1040*f**2. Factor u(h).
3*h**2*(h - 1)*(h + 46)/5
Suppose 10*w = l + 12*w - 20, -35 = -4*l + w. Let i be 126/360 + 4/l. Factor -1/4*v**4 + 0 + i*v**3 + 0*v**2 + 0*v.
-v**3*(v - 3)/4
Suppose 3*a = -j - a, -2*j + a + 9 = 0. Factor -3*v**5 + 2*v**5 + 2*v**4 + 2*v**4 + 0*v**4 + 7*v**j.
-v**4*(v - 11)
Let j(t) be the first derivative of -t**6/3 - 6*t**5/5 + t**4 + 4*t**3 - t**2 - 6*t - 216. Solve j(w) = 0 for w.
-3, -1, 1
Let w(g) be the first derivative of g**4/12 - g**2/2 + 34*g + 93. Let p(v) be the first derivative of w(v). Factor p(u).
(u - 1)*(u + 1)
Let g(s) be the third derivative of 64/3*s**3 - 11/30*s**6 - 170*s**2 + 2/3*s**4 + 0 + 0*s - 8/5*s**5 - 2/105*s**7. Let g(o) = 0. Calculate o.
-8, -2, 1
Determine u so that -14*u - 2/3*u**2 + 12 + 10/3*u**3 - 2/3*u**4 = 0.
-2, 1, 3
Let x(m) be the first derivative of -4*m**3/3 - 16684*m**2 - 69588964*m - 7559. Solve x(i) = 0 for i.
-4171
Let r(n) = 2*n**2 - 7*n + 7. Let p be r(3). Suppose 0 = c - p*c + 18. Find l such that -9*l - l**2 + c*l - l - 4*l**3 + 9*l**2 = 0.
0, 1
Let x(t) be the second derivative of -t**6/10 + 83*t**5/20 + 5*t**4/2 - 28*t**3/3 - 2*t + 1450. Factor x(n).
-n*(n - 28)*(n + 1)*(3*n - 2)
Suppose p - 18 = -2*b + 91, 3*b + 5*p - 167 = 0. Let w = 59 - b. Factor 0 + 2 - 4 + w*t**2 - 3.
5*(t - 1)*(t + 1)
Suppose -36*c + 43*c - 381 = -107*c - 13*c. Let 0 - 49/3*d + 14/3*d**2 - 1/3*d**c = 0. What is d?
0, 7
Let n(g) = -120*g**3 + 2870*g**2 - 47520*g + 267780. Let q(a) = 11*a**3 - 261*a**2 + 4320*a - 24344. Let i(p) = -6*n(p) - 65*q(p). Factor i(z).
5*(z - 19)*(z - 16)**2
Let y = 284193 - 852577/3. Let -1/3*c - 5/3*c**4 - 1/3 + c**5 - y*c**3 + 2*c**2 = 0. Calculate c.
-1, -1/3, 1
Solve -6872176 - 2*b**2 + 4111*b + 2877*b + 768158 = 0.
1747
Let g(b) be the third derivative of -11*b**9/3780 - 3*b**8/700 + b**7/525 + 73*b**3/6 - 4*b**2 + 2. Let l(h) be the first derivative of g(h). Factor l(q).
-4*q**3*(q + 1)*(11*q - 2)/5
Let w(v) = -2*v**2 - 21*v - 33. Let k be w(-8). Solve 2*t + 3*t**2 - 2*t**2 + 6*t**2 - k*t**3 - 2*t**3 = 0 for t.
-2/9, 0, 1
Factor -128/5*d**2 - 544/5 + 2/5*d**3 - 536/5*d.
2*(d - 68)*(d + 2)**2/5
Let a(u) = 9*u**3 + 8*u**2 + 54*u + 5. Let x(d) = -7*d**3 - 7*d**2 - 54*d - 4. Let o(q) = 4*a(q) + 5*x(q). Factor o(r).
r*(r - 9)*(r + 6)
Let m(g) = 2*g**2 + g. Let v(u) = -9*u**2 - 9*u + 6. Suppose -295 = 2*j - 319. Let q be (4/16)/((0 + -3)/j). Let r(p) = q*v(p) - 4*m(p). Factor r(n).
(n - 1)*(n + 6)
Suppose -6*i + 431 = -2*i - 3*h, -h + 307 = 3*i. Let t = i - 48. Factor -29 - 11 - 48 - 108 - 4*o**2 + t*o.
-4*(o - 7)**2
Solve 31/2*h**3 - 25/2*h**4 - 3/2*h**5 + 0 - 14*h + 25/2*h**2 = 0.
-28/3, -1, 0, 1
Let l(m) = -53*m**2 + 87*m - 1354. Let b(d) = -42*d**2 + 90*d - 1356. Let v(k) = 10*b(k) - 8*l(k). Find y, given that v(y) = 0.
-62, 11
Let y(p) = -3*p**4 + 21*p**3 + 86*p**2 + 100*p - 8. Let t(k) = 4*k**4 - 21*k**3 - 81*k**2 - 100*k + 12. Let u(v) = 2*t(v) + 3*y(v). Solve u(q) = 0 for q.
-2, 0, 25
Let d(t) = t**3 - 22*t**2 - 76*t + 30. Let f be d(25). Suppose 5*x = -5*p - f + 10, 0 = -2*p - 4. Let 2/5*s**x - 1/5*s**2 - 8/5*s + 4/5 = 0. Calculate s.
-2, 1/2, 2
Let i(d) be the second derivative of d**4/18 + 43*d**3/9 + 190*d**2/3 - 7*d - 71. Factor i(b).
2*(b + 5)*(b + 38)/3
Let b = 313 + -323. Let f be 2*(2/(-4))/(-14 - b). Factor -1/4 - f*g**2 + 1/2*g.
-(g - 1)**2/4
Let c be 192/12*1/2. Let p be 1 + -6 - (c + -23). Solve -p*u**2 + 10*u**3 + 2*u**4 + 2*u**2 - 10*u**4 + 2*u + 4*u**4 = 0 for u.
0, 1/2, 1
Let k = -110 + 118. Let t be ((-2)/(-60)*k)/(7/21). Find n such that 8/5*n**2 - 2*n + 6/5*n**3 - t = 0.
-2, -1/3, 1
Let l(r) = -r**2 + 35*r - 176. Let b(f) = f**2 - 34*f + 150. Let h(g) = -10*b(g) - 9*l(g). Factor h(i).
-(i - 28)*(i + 3)
Let s(v) be the first derivative of -v**3/15 - 46*v**2/5 + 93*v/5 - 2894. Factor s(t).
-(t - 1)*(t + 93)/5
Let y(a) = -4*a + 35. Let v be y(7). Let h be (-286)/(-91) + (-1)/v. Solve 9/5*m**2 + 3/5 + 3/5*m**h + 9/5*m = 0 for m.
-1
Suppose 3*x = 6, 2*x = h + h - 220. Let p = h - 782/7. Solve p*f**3 + 2/7*f**4 - 10/7*f - 6/7*f**2 - 4/7 = 0.
-1, 2
Find r, given that 4096/3 + 98/3*r**3 + 112*r**2 - 1024*r = 0.
-8, 16/7
Let i(h) be the third derivative of h**6/300 - 142*h**5/25 + 60207*h**4/20 + 364658*h**3/15 - 258*h**2 + 6*h. Let i(z) = 0. What is z?
-2, 427
Let s(l) = l**3 + 20*l**2 - 37*l + 13. Let r be s(-22). Let o be (-2)/(-16) - r/24. Let 10*n + 14/3*n**2 + o + 2/3*n**3 = 0. Calculate n.
-3, -1
Let p(j) be the third derivative of -j**2 - 1/30*j**6 + 2/5*j**5 - 68 - 11/6*j**4 + 4*j**3 + 0*j. Factor p(r).
-4*(r - 3)*(r - 2)*(r - 1)
Let l(i) be the second derivative of -i**5/20 - 19*i**4/12 - 38*i**3/3 + 48*i**2 + 3129*i. Find p, given that l(p) = 0.
-12, -8, 1
Let z = 217587/5 + -43511. Let q = 3/11 + 7/55. Factor q*r**2 + 16/5*r + z.
2*(r + 4)**2/5
Let g = 20415 + -20415. Let q(p) be the first derivative of 0*p**4 - 1/27*p**6 + 16 + g*p + 0*p**2 + 2/45*p**5 + 0*p**3. Factor q(m).
-2*m**4*(m - 1)/9
Suppose 4*z - 14 = -2*f, -6*z + 2*z - f + 13 = 0. Factor 9/2*k**z + 0 + 15/2*k**2 + 3*k.
3*k*(k + 1)*(3*k + 2)/2
Let x(k) = -5*k**3 + 61*k**2 - 16*k + 51. Let o be x(12). Let p(i) be the third derivative of 0 - 1/36*i**4 + 0*i - 33*i**2 - 2/9*i**o + 1/90*i**5. Factor p(n).
2*(n - 2)*(n + 1)/3
Suppose -1 = 14*s - 57. Let c be (-1*s)/((-120)/48). Solve c*d + 0 + 2/5*d**3 - 8/5*d**2 = 0.
0, 2
Let t = -192635/153 + 11332/9. Let k(w) be the second derivative of -t*w**3 + 1/255*w**6 + 0 + 3/170*w**5 - 1/102*w**4 + 0*w**2 - 22*w. Factor k(u).
2*u*(u - 1)*(u + 1)*(u + 3)/17
Let y be 237 + 8/(-20)*-5. Determine r so that 6*r**4 + 2*r**5 - 6*r**2 - 236*r**3 - y*r**3 + 473*r**3 = 0.
-3, -1, 0, 1
Suppose q + 35 = 5*y - 2*q, 4*q + 8 = -3*y. Let i be (-189)/35 + 5 - (-172)/30. Determine o, given that -2/3*o**y + 4*o**2 + 0*o**3 + 2 + i*o = 0.
-1, 3
Let r(c) = -c**2 + 7*c - 6. Let m be r(4). Suppose m*p - 17*p = -132. Factor 3*i**3 + 17*i - p + 2*i + 18*i - 15*i**2 - 13*i.
3*(i - 2)**2*(i - 1)
Solve 12*d**3 - 9*d**3 + 673*d**2 + 60*d + 57*d - 640 + 201*d + 288*d**2 = 0 for d.
-320, -1, 2/3
Let b(d) be the third derivative of -d**6/360 - d**5/60 + 50*d**3/3 + 6*d**2 - 12*d. Let y(a) be the first derivative of b(a). Suppose y(w) = 0. Calculate w.
-2, 0
Let g(t) = -t + 35. Let l be g(0). Suppose -l = -6*x + 25. Determine m, given that -2*m + 2*m**3 - x*m**2 + 6*m**2 + 4*m**2 = 0.
-1, 0, 1
Let m(r) = 167*r**2 - 3*r - 12. Let p be m(-2). Suppose -1269 - 75*o - 7*o - p - o**2 + 250 = 0. What is o?
-41
Let k(t) = 47*t**2 + t. Let v be k(1). Let q = v + -39. Factor 3*a - 15 + 37*a + q*a**2 + 6*a**2.
5*(a + 3)*(3*a - 1)
Let k(u) = -25*u**2 - 2159*u + 624. Let t(a) = 402*a**2 + 34545*a - 9987. Let i(w) = -33*k(w) - 2*t(w). Let i(f) = 0. Calculate f.
-103, 2/7
Suppose -99*i + 27385 = 25999. Factor -13/3*y + 1/3*y**2 + i.
(y - 7)*(y - 6)/3
Let c be 16*(225/30)/15*3/7. Factor 3/7*r**2 + 30/7*r - 3/7*r**3 + c.
-3*(r - 4)*(r + 1)*(r + 2)/7
Let d be 24/20 - 8/(-10). Factor 11*f - 12 - 2330*f**3 + f**d - 3*f + 2329*f**3.
-(f - 2)**2*(f + 3)
Let m(u) be the third derivative of u**7/42 - 79*u**6/8 +