t o be 5*((-7070)/1775 + 8/2). Let a = 728/213 - o. Let a*b**2 - 5/6*b**3 + 5 + 55/6*b = 0. Calculate b.
-1, 6
Factor -86/9*l + 0 + 2/9*l**2.
2*l*(l - 43)/9
Let c(d) = -6*d - 33. Let f be c(-8). Suppose -f = v - 19. Factor 6*t - 4*t**3 + 34*t**3 - 15 + v*t + 10*t**3 + 65*t**2.
5*(t + 1)**2*(8*t - 3)
Suppose 3*d**2 - 1/3*d**4 + 2*d**3 - 1/6*d**5 - 9/2*d + 0 = 0. Calculate d.
-3, 0, 1, 3
Suppose g + 1 = -4, 25 = 5*h + g. Suppose 0*b - 20 = -4*b. Factor -9*w**3 + 4*w**4 + 3*w + w + 2*w**2 + b*w**3 - h*w**2.
4*w*(w - 1)**2*(w + 1)
Let h(a) = -3*a**4 - 229*a**3 - 615*a**2 + 1955*a - 1102. Let y(z) = -5*z**4 - 455*z**3 - 1230*z**2 + 3910*z - 2205. Let o(j) = 5*h(j) - 2*y(j). Factor o(g).
-5*(g - 1)**2*(g + 5)*(g + 44)
Let t(k) = -k**2 - 2*k - 5. Let x be t(-3). Let h be -3 + 12*((-34)/x + -3). Determine q, given that h*q - 4 - 6 + 1 - 3*q**2 = 0.
1, 3
Let o = -875 - -17501/20. Let z(g) be the second derivative of 19*g + 0 + 0*g**2 + 8/3*g**3 + o*g**5 + 2/3*g**4. Solve z(s) = 0 for s.
-4, 0
Factor -759/2*c**2 + 0 - 3/2*c**4 + 1089*c + 42*c**3.
-3*c*(c - 11)**2*(c - 6)/2
Let t = 2641981253/2536302 + -1/845434. Factor -t - 5/3*a**2 - 250/3*a.
-5*(a + 25)**2/3
Let b(i) be the second derivative of 2 + 23/2*i**4 - 39/20*i**5 - 6*i**3 + 1/10*i**6 - 108*i**2 - 44*i. Factor b(m).
3*(m - 6)**2*(m - 2)*(m + 1)
Let m(d) = d**2 + 20*d + 34. Let a be m(-18). Let v be 432/204 - a/(-17). Let -28*q - 16*q + 2*q**2 + 3*q**2 - 9*q**v = 0. Calculate q.
-11, 0
Let n(z) be the second derivative of z**4/6 - 10*z**3/3 + 6*z**2 - 14*z - 1. Let f(j) = 5*j**2 - 40*j + 25. Let s(v) = 3*f(v) - 5*n(v). Solve s(l) = 0 for l.
1, 3
Factor -296/5*j**2 + 296/5 + 2/5*j**3 - 2/5*j.
2*(j - 148)*(j - 1)*(j + 1)/5
Suppose 5*r + 5*i - 25 = 0, -350 + 357 = 5*r - i. Let m(j) be the third derivative of 16*j**r - 2/27*j**3 + 0*j + 0 - 1/36*j**4 - 1/270*j**5. Factor m(p).
-2*(p + 1)*(p + 2)/9
Let k be 1*((-7 - -54) + -47). Factor 0*d**2 - 10/3*d**3 + 0 - 2/3*d**4 + k*d.
-2*d**3*(d + 5)/3
Let a(d) be the second derivative of 0*d**2 + 0 + 93*d + d**3 - 1/12*d**4. Factor a(w).
-w*(w - 6)
Let v = -23 + 39. Factor 7*r + 22 + 2*r - 3*r**2 - v + 6*r**2.
3*(r + 1)*(r + 2)
Let i be (-143)/(-1287)*(-1)/(-2)*-5*-12. Let i - 2/3*p**2 - 8/3*p = 0. Calculate p.
-5, 1
Let v = -3940 - -3942. Let n(z) be the second derivative of -1/5*z**v + 0 + 1/10*z**3 + 15*z - 1/60*z**4. Factor n(p).
-(p - 2)*(p - 1)/5
Let p(c) be the second derivative of -69/100*c**5 - 1/42*c**7 - 37/150*c**6 + 0*c**2 - 47/60*c**4 - 1 + 4*c - 1/3*c**3. Solve p(n) = 0 for n.
-5, -1, -2/5, 0
Let r be 17/(-119) - 29/(-7). Let v be r*(-1)/(-6) - (-24)/108. Determine l, given that -v*l + 4/9 - 2/9*l**3 + 7/9*l**4 - 7/3*l**2 = 0.
-1, 2/7, 2
Factor -144*b**2 - 403*b**3 - 406*b**3 - 39 + 2*b - 155*b - 402*b**3 + 1223*b**3.
3*(b - 13)*(2*b + 1)**2
Suppose 0 = 2*z - 10 - 38. Suppose 0 = -19*i + 31*i - z. Factor -68*k**i + k**5 - 63*k - 35*k**3 + 10*k**4 + 3*k + 4*k**5 - 32*k**2.
5*k*(k - 3)*(k + 1)*(k + 2)**2
Let g = 6557/2 + -3278. Let y(v) be the first derivative of 14 - g*v + 0*v**3 - 3/8*v**2 + 1/16*v**4. Factor y(c).
(c - 2)*(c + 1)**2/4
Let f(k) = 2*k**3 + 43*k**2 + 18*k - 6. Let r be f(-22). Let s = r - -890. Factor n**2 - 1/2*n**3 + 2*n - s.
-(n - 2)**2*(n + 2)/2
Let -710*x + 88*x**2 - 960 + 22*x**4 - 79*x**3 - 16*x**4 + 1338*x - 7*x**4 = 0. Calculate x.
-80, -3, 2
Let c be 665/(-330) + 2 + (-2)/(-11). Let x(d) be the first derivative of -2/9*d**3 + 0*d - c*d**2 - 1/12*d**4 - 19. Let x(m) = 0. Calculate m.
-1, 0
Let f = 14818 - 14815. Suppose 5*x + 16 = -4*l, 0*x + l = -5*x - 4. Factor 21/2*g**2 - f*g + x.
3*g*(7*g - 2)/2
Let o(k) = -31*k**2 - 310*k - 132. Suppose -2*w = 4*r + 3*w + 100, 0 = 5*w. Let g(q) = 125*q**2 + 1240*q + 530. Let u(x) = r*o(x) - 6*g(x). Factor u(f).
5*(f + 12)*(5*f + 2)
Let p(x) = -4*x**2 - 21*x - 20. Let o(b) = -12*b**2 - 64*b - 60. Suppose h + y = -2, 6*h + 2*y + 13 = h. Let g(z) = h*o(z) + 8*p(z). Factor g(l).
4*(l + 1)*(l + 5)
Let z(g) = -16*g**4 - 133*g**3 - 420*g**2 - 21*g + 7. Let h(c) = -5*c**4 - 44*c**3 - 141*c**2 - 6*c + 2. Let i(l) = 7*h(l) - 2*z(l). Factor i(o).
-3*o**2*(o + 7)**2
Let h be 4/(-12) - ((-5289)/(-9) - -1). Let r = h - -1771/3. Factor r*i**3 + 9 - 1/3*i**4 - 12*i + 2*i**2.
-(i - 3)**2*(i - 1)*(i + 3)/3
Let c = -701 - -705. Factor 116*r**3 + 2*r**4 + r**c + 5*r**4 - 4*r**4.
4*r**3*(r + 29)
Let f(x) = 9*x + 217. Let i be f(-24). Let h be (9/36)/(i/2). Factor 0*b + h*b**2 - 1/2.
(b - 1)*(b + 1)/2
Let v(c) be the third derivative of c**6/540 + c**5/27 + c**4/36 - 14*c**3/3 - 12*c**2 - 71. Factor v(j).
2*(j - 3)*(j + 6)*(j + 7)/9
Suppose 15*v = 79 - 19. Let 4*u + 46*u**2 + 3*u**4 - 44*u**2 + 2*u**4 - 7*u**v - 4*u**3 = 0. What is u?
-2, -1, 0, 1
Let p(n) be the second derivative of -n**7/168 - 13*n**6/20 - 1071*n**5/40 - 441*n**4 + 9261*n**3/8 + 583443*n**2/4 - 331*n + 4. Factor p(q).
-(q - 6)*(q + 21)**4/4
Let i = -2689 + 2692. Let p(s) be the second derivative of 0*s**2 + 5/72*s**4 + 1/40*s**5 - 1/252*s**7 + 0 + 6*s - 1/180*s**6 + 1/18*s**i. Factor p(t).
-t*(t - 2)*(t + 1)**3/6
Let l = -17042 + 17044. Let w(g) be the first derivative of 5/3*g**3 - 40*g**l + 320*g + 4. Factor w(i).
5*(i - 8)**2
Let f(l) = -2*l**2 - l - 1. Let x(k) = -k**3 - 9*k**2 - 2*k - 4. Let b be 68/(-204) - ((-26)/6 + 0). Let j(y) = b*f(y) - x(y). Find n, given that j(n) = 0.
-2, 0, 1
Let j(y) be the second derivative of -y**6/260 - 2*y**5/195 + y**4/39 + 55*y**2 + 168*y. Let v(q) be the first derivative of j(q). Factor v(d).
-2*d*(d + 2)*(3*d - 2)/13
Let v be 25/(-550)*33 + 3/90*51. What is c in v*c**2 - 2/5 + 1/5*c = 0?
-2, 1
Suppose 8*n = -7*n - 6465. Let y = 3881/9 + n. Determine z, given that -4/9*z + 4/9*z**3 + 0*z**2 - 2/9 + y*z**4 = 0.
-1, 1
Let n(f) be the first derivative of 1/8*f**4 + 1/6*f**3 + 0*f - 1/2*f**2 + 18. Factor n(b).
b*(b - 1)*(b + 2)/2
What is h in -1944*h + 2*h**4 - 399*h**3 + 432*h**2 + 269*h**3 + 196*h**3 = 0?
-18, 0, 3
Let m(g) be the first derivative of -g**4/10 - 56*g**3/5 + 352*g**2/5 + 5611. Factor m(c).
-2*c*(c - 4)*(c + 88)/5
Let 394/11*u**2 + 228/11 + 538/11*u + 2/11*u**4 + 86/11*u**3 = 0. What is u?
-38, -3, -1
Let u = 60328 + -60324. Determine p so that -p**u + 0*p + 4/3*p**2 + 0*p**3 + 1/3*p**5 + 0 = 0.
-1, 0, 2
Let r(n) be the third derivative of n**7/70 - n**6/20 - 7*n**5/4 + 9*n**4 - 18*n**3 - 6*n**2 - 485. Factor r(k).
3*(k - 6)*(k - 1)**2*(k + 6)
Let n(r) be the first derivative of 5*r**6/6 - 8*r**5 + 35*r**4/2 + 40*r**3/3 - 75*r**2/2 + 1676. Determine j so that n(j) = 0.
-1, 0, 1, 3, 5
Let t(p) be the third derivative of -1/690*p**5 + 78*p**2 + 0 + 1/138*p**4 + 1/23*p**3 + 0*p. Solve t(l) = 0 for l.
-1, 3
Let n = -381898 + 381901. Factor 0*u**n - 5/4*u**4 - 5/4 + 5/2*u**2 + 0*u.
-5*(u - 1)**2*(u + 1)**2/4
Let 9396/7*c - 3/7*c**2 - 7357068/7 = 0. Calculate c.
1566
Let i(d) be the third derivative of 5/24*d**4 + 0 + 49*d + 0*d**3 + 1/6*d**5 + d**2. Suppose i(u) = 0. What is u?
-1/2, 0
Let b be ((-2)/(-4))/((-8)/(-13552)*7). Find z, given that -3*z**3 - 2*z - b*z**2 + 2*z**3 + 238*z**2 - 120*z**2 = 0.
-2, -1, 0
Factor -170/9*j - 166/9*j**3 + 338/9*j**2 + 0 - 2/9*j**4.
-2*j*(j - 1)**2*(j + 85)/9
Let k(h) be the third derivative of h**6/2340 - 11*h**5/780 + 29*h**3/6 + 5*h**2 - 1. Let b(x) be the first derivative of k(x). Factor b(c).
2*c*(c - 11)/13
Suppose 7*c - 283 = 102. Let m = c + -41. Solve -15 + 5*x**2 + 34*x - 19*x**4 + m*x**4 + 16*x + 30*x**3 - 65*x**2 = 0 for x.
1, 3
Let c(z) be the first derivative of z**4/44 - 221*z**3/11 - 1329*z**2/22 - 665*z/11 - 4069. Suppose c(r) = 0. What is r?
-1, 665
Let h(x) be the second derivative of x**4/18 - 14*x**3 + 248*x**2/3 + 537*x. Determine k, given that h(k) = 0.
2, 124
Let z(i) = -5*i**3 + 8*i**2 + 229*i + 6. Let s be z(-6). Let 72/7*m**2 - 36/7*m**3 + 4/7*m**4 + s*m + 0 = 0. What is m?
0, 3, 6
Let m(l) be the second derivative of 1/42*l**7 + 244*l - 1/10*l**5 - 1/3*l**4 + l**2 + 1/15*l**6 + 0 + 1/6*l**3. Factor m(n).
(n - 1)**2*(n + 1)**2*(n + 2)
Let s(r) = 17*r**4 + 12088*r**3 - 12121*r**2. Let c(u) = 11*u**4 + 8059*u**3 - 8080*u**2. Let j(n) = -8*c(n) + 5*s(n). What is l in j(l) = 0?
-1345, 0, 1
Let m(p) be the second derivative of 2211125*p**4/8 - 3325*p**3/3 + 5*p**2/3 - p - 1193. Factor m(y).
5*(1995*y - 2)**2/6
Suppose -4*s - 1