- 2*i(v). Factor j(x).
2*(2*x - 1)*(27*x + 2)
Let o be 6/63 + (1246300/5250)/103. Factor 12/5*x**2 + 4/5*x**3 + 4/5 + o*x.
4*(x + 1)**3/5
Suppose 3*s - 7 = -3*k + 14, 2*s = -k + 12. Suppose -5*p = -6 + 1, k*p + 22 = 4*o. Factor -52*v + 50*v + 4*v**4 + 2*v**2 + 2*v**3 - o*v**4.
-2*v*(v - 1)**2*(v + 1)
Let z be (-170)/70 - (37/(-7) - 4/(-14)). Let k(n) be the first derivative of 2/7*n**3 - 12/7*n**2 + z*n - 14. Factor k(h).
6*(h - 3)*(h - 1)/7
Let i(m) be the third derivative of -1/6*m**4 + 0 + 13/18*m**3 - 1/180*m**5 - 35*m**2 + 0*m. Factor i(d).
-(d - 1)*(d + 13)/3
Let v(h) be the first derivative of -46/3*h**3 - 6*h**2 + 0*h - 5*h**4 + 57. Let v(m) = 0. Calculate m.
-2, -3/10, 0
Let l(u) be the second derivative of u**6/195 - 534*u**5/65 + 47526*u**4/13 + 1676*u. Determine f, given that l(f) = 0.
0, 534
Factor 263222*m - 263291*m + 93 - 3*m**2 + 57.
-3*(m - 2)*(m + 25)
Let d(g) be the first derivative of 7*g**4/18 + 3700*g**3/27 + 176*g**2/3 + 5065. Factor d(a).
2*a*(a + 264)*(7*a + 2)/9
Let b = -108/7 + 16. Let m be (-2)/(-3 + 15/(-30)). Factor m*l**2 - b - 2/7*l**3 + 2/7*l.
-2*(l - 2)*(l - 1)*(l + 1)/7
Suppose -16954 = -26*t + 67988. Let j = -35907/11 + t. Suppose 2/11*y**4 - 18/11*y - 14/11*y**3 + 0 + j*y**2 = 0. Calculate y.
0, 1, 3
Let d(c) = -5*c**5 + 46*c**4 - 86*c**3 + 120*c**2 - 20*c - 11. Let y(f) = f**5 - 9*f**4 + 17*f**3 - 23*f**2 + 4*f + 2. Let g(z) = 6*d(z) + 33*y(z). Factor g(w).
3*w*(w - 4)*(w - 1)**3
Suppose -3*c + 2*o = -80, 0 = -5*c - 0*o - 4*o + 170. Suppose 59*r = 88*r - 116. Factor 78*l**4 - 41*l**4 - 12*l**2 + 47*l**2 - c*l - 42*l**r.
-5*l*(l - 2)*(l - 1)*(l + 3)
Let f be ((-11)/(-3))/(445/150 + -3). Let r = f - -112. Factor 5*b**2 - 5*b - 21 + b**r - 9*b**2 - 19*b.
-3*(b + 1)*(b + 7)
Let r = -9 + 11. Let 9*b + 7*b**2 + 10*b**4 - 13*b**4 - b**r - 3 - 9*b = 0. Calculate b.
-1, 1
Suppose -4*p = -9*p + 10, 3946 = 3*j - p. Let -2*m**5 + 10976*m + 13328*m**2 + 10*m**5 - 4*m**5 + 172*m**4 + 1204*m**3 + j*m**3 = 0. Calculate m.
-14, -1, 0
Let q be (-10)/(-40)*-16 + 1 + 8. Let p(o) be the second derivative of -1/21*o**4 + 0 - 1/7*o**2 - 5/42*o**3 - 1/140*o**q + 9*o. Factor p(c).
-(c + 1)**2*(c + 2)/7
Let z(b) = -5*b**4 + 74*b**3 - 271*b**2 - 86*b + 284. Let i(j) = -j**4 + 2*j**2 - 3*j + 1. Let k(g) = 4*i(g) - z(g). Determine r so that k(r) = 0.
-1, 1, 4, 70
Let o(k) be the second derivative of 6*k**6/5 + 142*k**5/5 + 103*k**4/3 - 20*k**3 - 3*k + 208. Solve o(d) = 0.
-15, -1, 0, 2/9
Let g(l) be the first derivative of 5*l**3/3 + 160*l**2 + 315*l + 181. Factor g(n).
5*(n + 1)*(n + 63)
Let t(z) be the second derivative of -z**7/4410 + z**6/42 + 253*z**4/12 - 114*z. Let h(o) be the third derivative of t(o). Factor h(c).
-4*c*(c - 30)/7
Suppose -1180*g - 227 + 2587 = 0. Factor 3*q**5 - 1/3*q**4 + 0*q**3 + 0*q + 0*q**g + 0.
q**4*(9*q - 1)/3
Suppose 2*n - n + 37 = 5*n + 5*z, 2*z = 10. Find h, given that 1/2*h**n + 32 - 15/2*h**2 + 24*h = 0.
-1, 8
Let z(i) be the second derivative of 5*i**4/12 + 20*i**3/3 - 525*i**2/2 + i - 1453. Find v such that z(v) = 0.
-15, 7
Let f(i) be the second derivative of -i**8/6720 + i**7/630 - i**6/180 + 11*i**4/4 - 3*i + 5. Let x(b) be the third derivative of f(b). Factor x(p).
-p*(p - 2)**2
Let v(f) = f**3 + 53*f**2 + 48*f - 122. Let i be v(-52). Suppose -100*h = -i*h - 28. Solve -2/7*s + 2/7*s**h + 0 = 0.
0, 1
Let v be 4958/(-18) - 50/225. Let z = 277 + v. Find p such that 0 + 4/3*p + z*p**4 - 4/3*p**2 - 4/3*p**3 = 0.
-1, 0, 1
Let z(g) be the second derivative of -13/12*g**3 + 3/40*g**5 + 1/6*g**4 - 2 + 3/2*g**2 + 35*g. Factor z(x).
(x - 1)*(x + 3)*(3*x - 2)/2
Let d(f) be the second derivative of f**4/48 - 43*f**3/6 - 88*f**2 + 7288*f. Let d(c) = 0. What is c?
-4, 176
Let d(g) be the third derivative of -3*g**7/350 + 13*g**6/40 + 122*g**5/75 + 19*g**4/6 + 16*g**3/5 - 2*g**2 - 17*g. Suppose d(r) = 0. Calculate r.
-1, -2/3, 24
Let t(p) be the first derivative of -p**6/6 + 7*p**5/5 - 7*p**4/4 - 5*p**3 + 1093. What is c in t(c) = 0?
-1, 0, 3, 5
Let m(k) be the second derivative of -k**4/20 - 7*k**3/5 + 1881*k**2/10 + 3100*k. Find n such that m(n) = 0.
-33, 19
Let t = 22 - 46. Let s be t*-2*(-5)/(-20). Factor 23*i - 17*i + 4*i**2 - s*i - i**2.
3*i*(i - 2)
Let x(h) be the first derivative of -6*h**2 + 1 - 14*h + 2/3*h**3. Solve x(a) = 0 for a.
-1, 7
Factor -351 + 25*y**3 - 76*y**2 + 31*y**2 - 139*y**2 - 39 + 709*y - 28*y**3.
-(y - 3)*(y + 65)*(3*y - 2)
Let z(m) = 32*m**3 + 114*m**2 + 1230*m - 6734. Let d(q) = -187*q**3 - 683*q**2 - 7378*q + 40403. Let i(c) = -12*d(c) - 70*z(c). Factor i(w).
4*(w - 4)*(w + 29)**2
Let c(u) = 2*u**3 - 6*u**2 + 9*u - 5. Let k be c(3). Let s = k - 20. Factor -10*i**2 + 0*i**3 + 10 - s*i**3 + 0*i + 2*i.
-2*(i - 1)*(i + 1)*(i + 5)
Let l(o) = -9*o - 7. Let a(r) = 13*r + 11. Let n(m) = -5*a(m) - 7*l(m). Let w be n(-4). Factor -10*d - 14*d + 16 + 8*d + 4*d**w.
4*(d - 2)**2
Let c(o) be the second derivative of -289*o**7/168 + 136*o**6/15 - 1177*o**5/80 + 127*o**4/24 + 29*o**3/6 + o**2 + 212*o - 3. Solve c(u) = 0.
-2/17, 1, 2
Factor 243 - 1/4*x**2 + 321/4*x.
-(x - 324)*(x + 3)/4
Let t = -295251 - -296231. Factor 4/5*b**2 + t - 56*b.
4*(b - 35)**2/5
Let r(t) be the second derivative of 5*t + 23 - 11/8*t**2 - 97/48*t**3 + 7/160*t**5 - 17/24*t**4. Factor r(y).
(y - 11)*(y + 1)*(7*y + 2)/8
Suppose 0 = -x + 3*q + 158, -150 = 2*x - 3*x - 5*q. Suppose 58*v - 56*v + 5*m = 295, -5*m + 605 = 4*v. Factor x + 2*j**2 - v.
2*j**2
Let m be ((11/8)/11)/((-1)/(-18)). Let p = -3371/2 + 1687. Suppose 3/4 - m*c**2 + p*c = 0. Calculate c.
-1/3, 1
Let d(r) be the second derivative of 2*r**6/15 - 4*r**5/5 - 52*r**4 - 384*r**3 - 29*r - 57. Suppose d(f) = 0. Calculate f.
-6, 0, 16
Let u(r) be the third derivative of -50653*r**6/480 + 15059*r**5/40 - 4477*r**4/8 + 1331*r**3/3 + 21*r**2 - 2. Factor u(s).
-(37*s - 22)**3/4
Let u = -766/231 + 281/77. Factor 4 - 1/3*g**3 + u*g - 4*g**2.
-(g - 1)*(g + 1)*(g + 12)/3
Let g be ((-4)/30)/((-203)/1015). Let m(u) be the first derivative of 17 - 4/9*u**3 + g*u**4 + 0*u**5 + 4/3*u - 1/9*u**6 - u**2. Determine k so that m(k) = 0.
-2, -1, 1
Let w(n) = -6 + 24*n**2 + 15*n - 46*n**2 + 23*n**2 + 56. Let v be w(-5). Find z such that v*z + 2/17*z**2 - 2/17 = 0.
-1, 1
Let z(h) be the first derivative of -h**5/10 + 13*h**4/4 + 44*h**3/3 - 13*h**2/2 - 87*h/2 - 2673. Find a such that z(a) = 0.
-3, -1, 1, 29
Suppose 11*b - 8*b - 9 = 0. Suppose b*w - 7 = 53. What is s in 9*s**3 - 2*s**2 - 10*s**2 - 5*s**3 - w - 36*s = 0?
-1, 5
Suppose 11061*v + 6 = 11063*v. Let g(n) be the first derivative of 1/2*n**4 - 15 + 0*n**v + 0*n - n**2. Suppose g(s) = 0. What is s?
-1, 0, 1
Let z(w) be the second derivative of 1/140*w**5 + 1/42*w**4 + 2/7*w**2 - 21*w + 0 - 1/6*w**3. Factor z(x).
(x - 1)**2*(x + 4)/7
Factor -5/2*m**2 + 3 + 2*m**3 - 23/2*m.
(m - 3)*(m + 2)*(4*m - 1)/2
Let u be 74/6 - (66091/(-1419) + 44 - (-1)/(-11)). Factor 1/2*c**2 + 0 - u*c.
c*(c - 30)/2
Let x(k) be the third derivative of -1/6*k**4 + k**2 - 1/210*k**5 + 22*k - 7/3*k**3 + 0. Factor x(u).
-2*(u + 7)**2/7
Let y(u) = 12*u**2 - 4. Let b(r) = 1245 + r - 1250 - 2*r**2 + 13*r**2 - r**3. Let x = 12 + -8. Let o(a) = x*b(a) - 3*y(a). Factor o(i).
-4*(i - 2)*(i - 1)*(i + 1)
Suppose -21174*b + 86 = -21131*b. Factor 0 - 3/2*i**b + 1/2*i**3 + 0*i.
i**2*(i - 3)/2
Factor 407*c**2 - 205*c**2 - 197*c**2 - 2630*c.
5*c*(c - 526)
Let h = -379 + 384. Suppose -4 = -y - 3*n, -h*n = y + 1 - 5. Determine m, given that 0 - 6/11*m**5 + 20/11*m**y - 14/11*m**3 + 8/11*m - 8/11*m**2 = 0.
-2/3, 0, 1, 2
Let g be (-150)/(-40) + 14/(-8). Let u be (-1 + 1)/(-5 + g). Find s such that -1/6*s**2 + u*s + 1/6 = 0.
-1, 1
Let p be (-204)/42 + 5 - 55/(-105). Let a(d) = -2*d**2 - 35*d + 201. Let q be a(-22). Determine r, given that -2/15*r**2 + 2/15*r**q - 2/5 - p*r = 0.
-1, 3
Suppose -2*j + 4 = 0, 5*a - 4 = -0*a + 3*j. Solve 18*t + 81 + 235*t**2 - 118*t**2 - 116*t**a = 0.
-9
Let i = -7057 - -1573708/223. Let c = 675/446 + i. Determine n, given that -c*n**3 - 3/2*n**4 + 3*n**2 + 0*n + 0 = 0.
-2, 0, 1
Let 32/7*r**3 + 0*r + 68/7*r**2 - 1/7*r**4 + 0 = 0. Calculate r.
-2, 0, 34
Let k(y) be the second derivative of -y**7/42 - 44*y**6/15 - 1083*y**5/10 - 2378*y**4/3 + 11767*y**3/6 + 151*y - 17. Factor k(d).
-d*(d - 1)*(d + 7)*(d + 41)**2
Let o = -2371 - -2373. Let z be o + 