is v in -v**d - 16/3*v - 13/3*v**2 - 4/3 = 0?
-2, -1/3
Factor 10368 + 4/9*l**3 - 856/9*l**2 + 4992*l.
4*(l - 108)**2*(l + 2)/9
Let h(l) be the third derivative of -l**6/540 + 1321*l**5/135 - 1745041*l**4/108 + 2*l**2 - 108*l + 24. Find m such that h(m) = 0.
0, 1321
Factor 0*u + 6004 - 6076 + 10*u - 2*u**2 + 16*u.
-2*(u - 9)*(u - 4)
Let u(i) = 3*i**3 - 5*i**2 + 3*i + 6. Let c be u(3). Let j = c - 49. Determine r, given that 2 - 15*r + 3*r**2 - 8*r**j - 7 - 5 = 0.
-2, -1
Determine v so that -1/3*v**3 + 67600/3 - 173*v**2 - 22360*v = 0.
-260, 1
Let i(a) = 48*a**4 - 12*a**3 - 31*a**2 + 86*a + 187. Let u(p) = -39*p**4 + 12*p**3 + 32*p**2 - 88*p - 188. Let n(o) = 4*i(o) + 5*u(o). Factor n(j).
-3*(j - 4)**2*(j + 2)**2
Let z = 413126 + -1239248/3. What is n in 45*n + 5/3*n**2 + z = 0?
-26, -1
Let x(f) be the second derivative of -f**4/102 - 77*f**3/51 - 1062*f**2/17 - 9841*f. Factor x(i).
-2*(i + 18)*(i + 59)/17
Let d = -3672253/2948 + 4323/268. Let h = 1231 + d. Factor -h*m - 2/11*m**3 + 12/11*m**2 + 0.
-2*m*(m - 4)*(m - 2)/11
Let t(v) be the second derivative of -1/4*v**4 + 0*v**6 + 19 - 3*v**3 + 2*v - 1/28*v**7 + 21/40*v**5 + 6*v**2. Let t(f) = 0. Calculate f.
-2, 1, 2
Let y = 4032 - 4027. Let g(z) be the second derivative of 0*z**3 + 0*z**2 + 1/60*z**y + 0 - 6*z + 0*z**4. Factor g(u).
u**3/3
Let n(f) = -2*f**2 + f + 1. Let k(z) = 80 + 25*z**2 + 55 - 392*z + 232*z. Let y(x) = k(x) + 15*n(x). Factor y(l).
-5*(l - 1)*(l + 30)
Let m(f) = 111*f - 559. Let d be m(5). Let l be ((-21)/(-56))/((-1)/d). Determine v, given that -l*v**2 - 6 - 6*v = 0.
-2
Let w(h) be the third derivative of -h**6/600 + 79*h**5/300 - 23*h**4/12 + 76*h**3/15 - 2366*h**2. Solve w(i) = 0.
1, 2, 76
Let h(t) be the first derivative of t**4/2 - 406*t**3/3 + 10200*t**2 + 20808*t + 1285. Find z such that h(z) = 0.
-1, 102
Let b(k) = 55*k**2 - 25420*k + 90. Let g(u) = -20*u**2 + 9244*u - 33. Let n(t) = 11*b(t) + 30*g(t). Let n(m) = 0. Calculate m.
0, 460
Let a be 65/25 + (-8)/(-20). Let s(k) = -8805*k + 2. Let d be s(0). Determine v so that 16/5*v - 24/5*v**d - 4/5*v**4 - 4*v**a + 32/5 = 0.
-2, 1
Let t = -133 - -133. Factor t*m - 20*m**2 - 8*m + 91 - 91.
-4*m*(5*m + 2)
Let z(r) be the third derivative of -2 - 1/24*r**3 + 1/480*r**6 - 1/80*r**5 + 33*r**2 + 0*r + 1/32*r**4. Factor z(g).
(g - 1)**3/4
Suppose 0 = a - 4*i + 14, -2 - 6 = -4*i. Let w be 5/2 - a/4. Factor -5*t - t**2 + t**2 - w*t**2 - 3*t.
-4*t*(t + 2)
Factor 2934*b**2 + 15*b**3 + 5305*b + 2704*b**2 - 9903*b**2 + 8*b**3 - 3*b**3 - 1060.
5*(b - 212)*(b - 1)*(4*b - 1)
Let s(t) be the first derivative of -7*t + 13/4*t**2 + 1/6*t**3 + 59. Solve s(r) = 0.
-14, 1
Suppose -b - 5*k + 17 = 0, -3*b - 4*k = -2*k - 38. Suppose 0 = b*f + 404 - 1652. Factor -f*v - 121*v + 25*v**2 + 15 + 190*v - 5.
5*(v - 1)*(5*v - 2)
Let c(t) be the first derivative of t**4/14 + 16*t**3/21 - 135*t**2 - 1915. Solve c(f) = 0 for f.
-35, 0, 27
Let c(f) = 5*f**3 - 29*f**2 + 78*f + 16. Let i(r) = -3*r**3 + 30*r**2 - 78*r - 12. Let a(x) = -3*c(x) - 4*i(x). Factor a(l).
-3*l*(l - 2)*(l + 13)
Let s(t) be the second derivative of -5*t**4/12 - 25*t**3/2 - 75*t**2 - 7*t - 24. Let i(f) = 2*f + 2. Let h(y) = -10*i(y) + s(y). Find k, given that h(k) = 0.
-17, -2
Suppose -585*t - 433 + 936 + 1252 = 0. Factor 76/3*i + 11/3*i**t - 1/3*i**4 - 44/3*i**2 - 16.
-(i - 4)*(i - 3)*(i - 2)**2/3
Let j = 150005/2 + -75002. Suppose -j*q**2 - q + 1/4*q**3 + 2 = 0. Calculate q.
-2, 2
Let c(m) = 277*m + 1111. Let x be c(-4). Let r(s) be the first derivative of 17 + 0*s**x - 3/20*s**4 + 0*s**2 + 1/30*s**6 + 2/25*s**5 + 0*s. Factor r(y).
y**3*(y - 1)*(y + 3)/5
Let o = 28/17 - 67/51. Let h be (-5 + 6 + -2)/((-2)/4). Determine b, given that -2/3 + b**3 + 4/3*b**h - o*b = 0.
-1, 2/3
Let s = -6 + 9. Let c = 1403 - 1392. Suppose -c*n**2 - 86*n**3 - 9*n**2 - 28*n + 8*n + 81*n**s = 0. What is n?
-2, 0
Let g(w) = -17*w**2 - 17*w. Let j(m) = -3*m**2 - 9*m + 11*m - m. Let b(d) = 5*g(d) - 30*j(d). Determine r, given that b(r) = 0.
0, 23
Suppose 4*a + 11*n + 8 = -17, 5*n + 21 = 3*a. Let b = -1/1106 + 11071/12166. Factor -12/11*u**a + b*u + 2/11*u**3 + 0.
2*u*(u - 5)*(u - 1)/11
Let d be 3*(-6)/36 + 99/22. Let t(l) be the second derivative of 0 + 1/36*l**d - 1/6*l**3 + 1/3*l**2 + 7*l. Find s, given that t(s) = 0.
1, 2
Let m(g) be the second derivative of 5/12*g**4 + 7*g + 0 - 3*g**2 - 1/6*g**3. Let o(v) = -4*v**2 + v + 5. Let z(r) = -5*m(r) - 6*o(r). Factor z(f).
-f*(f + 1)
Suppose 0 - 19*j**2 - 28/3*j = 0. Calculate j.
-28/57, 0
Let l = 1307 - 1307. Let g(c) be the first derivative of l*c - 1/6*c**6 + 2/3*c**5 - c**4 - 1/6*c**2 + 2/3*c**3 - 18. Factor g(x).
-x*(x - 1)**3*(3*x - 1)/3
Let z(i) be the second derivative of 7 - 16/3*i**4 + 3/5*i**5 - 22*i**3 - 28*i**2 + i. Let z(v) = 0. Calculate v.
-1, -2/3, 7
Let c(k) = 8*k**4 - 421*k**3 - 1167*k**2 - 1079*k - 313. Let v(s) = 17*s**4 - 843*s**3 - 2334*s**2 - 2161*s - 624. Let d(p) = -9*c(p) + 4*v(p). Solve d(f) = 0.
-1, -3/4, 107
Let z be 25/(-10) + (2968/(-1272))/(1 - (-4)/(-3)). Suppose -45*t + z*t**4 - 51/2*t**2 + 0 + 66*t**3 = 0. Calculate t.
-15, -2/3, 0, 1
Suppose 0 = 3*c - 13 - 56. Suppose 0 = 27*b - c*b - 120. Factor b - 30 + 2*v + v**3 - 3*v**2.
v*(v - 2)*(v - 1)
Let i = 52 + -16. Suppose -92 = -i*c + 16. Factor 0 + 24*p + 18*p**2 + 3/8*p**4 + 9/2*p**c.
3*p*(p + 4)**3/8
Let g(p) be the second derivative of -6*p**7/35 - 94*p**6/25 - 319*p**5/25 - 67*p**4/15 + 656*p**3/15 + 416*p**2/5 + 105*p. What is x in g(x) = 0?
-13, -4/3, -1, 1
Let p(n) be the second derivative of -n**4/30 - 9*n**3/5 + 14*n. Factor p(l).
-2*l*(l + 27)/5
Suppose 49*s + 16 = 2*g + 46*s, g = 5*s + 22. Suppose -4 + 2/3*r**g - 2/3*r = 0. What is r?
-2, 3
Let o(t) be the second derivative of -t**6/30 + t**4/6 + 105*t**2/2 - 5*t - 2. Let v(p) be the first derivative of o(p). Factor v(u).
-4*u*(u - 1)*(u + 1)
Determine g so that -7*g**4 - 12*g**4 + 27*g**2 - 2*g**4 + 29*g**5 + 7*g - 5 - 37*g**5 + g**3 - 1 = 0.
-2, -1, 3/8, 1
Suppose -8*q = 513 - 537. Find w, given that -1 - 32*w**2 - 10*w**4 - 26*w**5 + 18*w**4 + 22*w**5 + 28*w + 8*w**q - 7 + 0*w**4 = 0.
-2, 1
Suppose 0 = -71*j + 15*j. Let k(d) be the second derivative of 11*d + 0*d**2 + 27/20*d**5 + 2/5*d**6 + 1/28*d**7 + j - 27/4*d**3 + 0*d**4. Solve k(r) = 0 for r.
-3, 0, 1
Let j = 755 + -742. Suppose 0 = -j*n - 3*n + 48. Determine a so that 2/21*a**n - 4/21*a**4 - 2/21*a + 0 + 4/21*a**2 = 0.
-1, 0, 1/2, 1
Suppose 144/13*p - 42/13*p**2 + 0 - 2/13*p**3 = 0. Calculate p.
-24, 0, 3
Let w = -790908 - -790910. Determine j, given that -11/4 + 1/4*j**w + 5/2*j = 0.
-11, 1
Let m be ((-70)/60)/((-10)/60). Let a = m + -7. Let 1/4*o + a + 1/4*o**2 = 0. What is o?
-1, 0
Let s be 4 - 1*(3 + 21). Let l = s + 23. Find p, given that 0*p**3 + 0*p**2 + p + 12*p**l + 3*p + 20*p**2 - 4 = 0.
-1, 1/3
Suppose 3*d - u - 3 = 0, 2*d - 7*d = u - 21. Let k(i) be the first derivative of 0*i + 2/7*i**2 - 1/7*i**4 + 13 + 0*i**d. Solve k(t) = 0 for t.
-1, 0, 1
Let c(k) be the second derivative of k**6/15 - 199*k**5/10 + 4900*k**4/3 + 10000*k**3/3 + 1369*k. Factor c(t).
2*t*(t - 100)**2*(t + 1)
Let s = 1007/1341 + -5/5364. Let h(l) be the second derivative of 0*l**2 - 7/4*l**3 + 3/40*l**5 + 0 + s*l**4 + 6*l. Solve h(o) = 0 for o.
-7, 0, 1
Let d(q) = 10*q**2 - 288*q + 17427. Let p(f) = -17*f**2 + 568*f - 34853. Let w(o) = -5*d(o) - 3*p(o). Determine u, given that w(u) = 0.
132
Let z(n) = -n**2 - 14*n - 12. Let d be z(-12). Suppose l + 8 = -4*w - 2, 0 = -4*w - d. Find s, given that s**l + s + 89*s**4 - 90*s**4 - s = 0.
-1, 0, 1
Let l be (-5830)/90 - 3*(-4)/(-54). Let x = -62 - l. Solve 10*o**2 - 6*o**x - 9*o**4 + 10*o**5 - 5*o**5 + o**3 - o**4 = 0 for o.
-1, 0, 1, 2
Let j(x) be the first derivative of -159*x**4/28 + x**3/7 + 318*x**2/7 - 12*x/7 + 732. Find r such that j(r) = 0.
-2, 1/53, 2
Let c(r) be the first derivative of 1/3*r**4 + 0*r**2 - 6 - 4/3*r**3 - 9*r + 3/5*r**5. Let l(p) be the first derivative of c(p). Factor l(n).
4*n*(n + 1)*(3*n - 2)
Let y(t) be the third derivative of -t**8/112 + t**7/10 + t**6/10 - 7*t**5/5 + 741*t**2. Solve y(q) = 0 for q.
-2, 0, 2, 7
Factor 74/7*q - 2/7*q**2 + 240/7.
-2*(q - 40)*(q + 3)/7
Let r = 192 + -190. Factor 16*t + r*t**2 + 18*t - t**2 - 10 + 17*t - 54*t.
(t - 5)*(t + 2)
Suppose 680805*c**3 + 1/2*c**5 - 1845/2*c**4 - 