 + 31/3*x**4 + 0 - 304/3*x**3 - 1/3*x**5 + 0*x = 0.
0, 8, 15
Let p(d) = 3*d - 1. Let g be p(2). Suppose 0 = -20*c - 206*c + 8362. Factor 395*u**2 + 5*u**g + 320*u + 388*u**3 + c*u**4 + 165*u**2 + 28*u**4 - 88*u**3.
5*u*(u + 1)*(u + 4)**3
Let y be ((-2265)/(-155) - -7)/(-33). Let z = 4/341 - y. Factor z*v**2 + 0*v - 1/3 - 1/3*v**4 + 0*v**3.
-(v - 1)**2*(v + 1)**2/3
Let j(y) be the first derivative of 2*y**3/21 - 111*y**2/7 + 436*y/7 - 8550. Determine n, given that j(n) = 0.
2, 109
Suppose 0 = -2*v - 4 - 84. Let u = -42 - v. Factor -4*c + c**3 + 3*c**3 - 4*c**4 - 8*c**2 + 9*c**2 + 3*c**u.
-4*c*(c - 1)**2*(c + 1)
Let t(u) be the second derivative of -u**5/450 + 7*u**4/90 - 39*u**2/2 + u + 1. Let y(m) be the first derivative of t(m). Factor y(h).
-2*h*(h - 14)/15
Let v(j) be the second derivative of -j**4/36 - 19*j**3/9 - 12*j**2 + 866*j. Factor v(z).
-(z + 2)*(z + 36)/3
Let f(r) = -60*r + 242. Let m be f(4). Let d(x) be the second derivative of -1/4*x**3 + 0 - 1/20*x**6 + 3/40*x**5 + 17*x + 1/8*x**4 + 0*x**m. Factor d(z).
-3*z*(z - 1)**2*(z + 1)/2
Let v(o) = 95*o**2 - 139*o - 4. Let w(x) = -71*x**2 + 140*x + 3. Let n(c) = 3*v(c) + 4*w(c). Let n(k) = 0. Calculate k.
-143, 0
Factor -26*i**3 + 660*i**2 - 36*i**3 + 126*i**3 - 36*i**3 - 32*i**3 + 46336 + 11328*i.
-4*(i - 181)*(i + 8)**2
Let h = 1069 - 598. Factor -h*l**3 + 12*l**2 - 17*l + 0 - 23*l + 0 + 475*l**3.
4*l*(l - 2)*(l + 5)
Let a(g) be the third derivative of g**6/40 - 7*g**5/5 - 355*g**4/8 - 475*g**3 + 215*g**2. Solve a(z) = 0.
-5, 38
Suppose 13*o - 5*l - 3 = 9*o, 4*l = -2*o + 8. Factor -4462*z + 14250*z**o + 9500*z**4 - 10798*z - 625*z**5 + 26740*z**2 + 1960 - 41425*z**3.
-5*(z - 7)**2*(5*z - 2)**3
Let g(v) be the third derivative of v**8/60480 - v**7/15120 - v**6/1080 - v**5/10 - v**3/3 + 23*v**2 - 1. Let w(k) be the third derivative of g(k). Factor w(x).
(x - 2)*(x + 1)/3
Let o = -801 - -566. Let i = o - -2117/9. Factor 2/9*n**4 - 2/9*n + 0 - i*n**2 + 2/9*n**3.
2*n*(n - 1)*(n + 1)**2/9
Let j(m) be the third derivative of -29/660*m**6 + 0*m - 48*m**2 + 2/77*m**7 - 8/33*m**3 - 1/15*m**5 - 1/264*m**8 + 0 + 3/11*m**4. Find z such that j(z) = 0.
-1, 2/7, 1, 2
Let h = -995 - -6983/7. Let o = 5623054/7 + -803293. Let 12/7*n**3 + 0 - 18/7*n**2 + o*n + h*n**4 - 15/7*n**5 = 0. What is n?
-1, 0, 1/5, 1
Factor -25*r**2 - 499 - 18*r**2 - 15*r**2 + 507 - 104*r + 4*r**2.
-2*(r + 2)*(27*r - 2)
Suppose -4*i**2 + 34*i - 7*i**2 + 44*i - 3481 + 10*i**2 + 40*i = 0. Calculate i.
59
Determine l, given that 2592/5*l - 8*l**3 - 4/5*l**4 + 252/5*l**2 + 0 = 0.
-9, 0, 8
Let h(q) = 3*q**4 - q**3 + q**2 - q + 5. Let g(d) = -7*d**4 + 83*d**3 + 80*d**2 + 2*d - 10. Let n(f) = -2*g(f) - 4*h(f). Factor n(s).
2*s**2*(s - 82)*(s + 1)
Let f = 0 + 2. Let d be (-8)/26*(-39)/6*4/76. Factor d*g**4 + 4/19*g**f + 6/19*g**3 + 0*g + 0.
2*g**2*(g + 1)*(g + 2)/19
Let y(v) be the third derivative of -v**6/660 - v**5/6 + 6818*v**2. Factor y(h).
-2*h**2*(h + 55)/11
Let j(i) be the first derivative of i**3/9 + 7*i**2/6 - 76*i + 1544. Factor j(n).
(n - 12)*(n + 19)/3
Let h be (-509)/(-17) - (2706 + -2677). Determine n so that -h*n**3 + 2/17*n**4 + 10/17*n**2 + 76/17*n + 48/17 = 0.
-1, 4, 6
Let w(c) be the first derivative of -5*c**3/3 - 5010*c**2 - 10015*c - 3561. Determine k, given that w(k) = 0.
-2003, -1
Let u be (2/(-10))/((-414)/(-3105))*((-260)/30 + 6). Factor 95/3*z**2 - 80/3*z**3 + 0 - 20/3*z**u - 25/3*z.
-5*z*(z + 5)*(2*z - 1)**2/3
Let -403*w**2 + 11*w**2 - 175*w**2 - 4*w**3 + 932*w + 14*w**2 - 375*w**2 = 0. What is w?
-233, 0, 1
Let f be (-1 - 592/(-12))/(-6*60/(-72)) + -9. Factor f*b**2 + 28/3 - 10*b.
2*(b - 14)*(b - 1)/3
Let p = -17958 - -32608. Factor 203369*a - 192000 + 363*a**3 + a**4 + 151*a**2 - 4*a**4 - 261*a**2 - p*a**2 + 3031*a.
-3*(a - 40)**3*(a - 1)
Let n = 227421/5 + -227418/5. Suppose -n*v**2 + 186/5*v - 2883/5 = 0. What is v?
31
Factor -10753*l**4 + 1600*l**2 - 88*l**5 + 10240*l + 16384 - 80*l**3 + 10733*l**4 + 89*l**5.
(l - 16)**2*(l + 4)**3
Let l be 12/114 + 465/95. Suppose 0 = 10*a + l*a - 54*a. Factor a + 4/5*u**2 - 28/5*u.
4*u*(u - 7)/5
Let c = 2439 - 2436. Let k(u) be the first derivative of 5 - 2/3*u - 5/12*u**2 - 1/18*u**c. Factor k(z).
-(z + 1)*(z + 4)/6
Let m = -25 + 55. Let q = m - 28. Factor -14*z**3 - 24 + 6*z**4 + 24 + 4*z**q.
2*z**2*(z - 2)*(3*z - 1)
Suppose 25*r - 256 = 9*r. Suppose -12*o**3 + 480 - 486 + 15*o**2 - r*o + 37*o = 0. Calculate o.
-1, 1/4, 2
Let b(k) be the first derivative of -k**3/6 + 243*k**2/4 + 122*k + 1217. Find q, given that b(q) = 0.
-1, 244
Let g(r) be the third derivative of -r**7/140 - 7*r**6/40 + 67*r**5/40 - 11*r**4/2 + 9*r**3 + 1222*r**2. Solve g(i) = 0 for i.
-18, 1, 2
Let u = -1469 + 1475. Let f be (u/(-26))/(3/(-4)). Suppose -4/13*q**2 - 14/13*q**4 + 16/13*q**3 - f*q + 2/13 + 4/13*q**5 = 0. What is q?
-1/2, 1
Let f(t) be the third derivative of t**7/255 + 2*t**6/255 - 13*t**5/510 - t**4/102 + 2270*t**2. Suppose f(h) = 0. What is h?
-2, -1/7, 0, 1
Let n(p) = 15*p**3 - 9*p**2 + 156*p + 699. Let o(a) = -7*a**3 + 5*a**2 - 78*a - 350. Let f(m) = 10*n(m) + 21*o(m). Let f(r) = 0. Calculate r.
-6, -4, 5
Let z = 390968/3 - 130322. Solve -50/3 + 68/3*c**3 + 28/3*c**2 + 22/3*c**4 - 70/3*c + z*c**5 = 0.
-5, -1, 1
Suppose 4*m = 13 - 1. Suppose -297*w = -302*w + 20. Solve -129*l**5 - 24*l**w + 133*l**5 + 18*l**3 + 18*l**m = 0.
0, 3
Let a(t) be the third derivative of 7*t**8/60 + 62*t**7/75 - 337*t**6/15 + 1868*t**5/75 - 44*t**4/5 + 13*t**2 + 48*t + 2. What is d in a(d) = 0?
-11, 0, 2/7, 6
Factor -4*f**3 + 857825*f - 861313*f - 5540557*f + 404*f**2 - f**3 - 10934*f**2.
-5*f*(f + 1053)**2
Suppose -164118*x + 3*x**4 - 450*x**3 + 10477*x**2 - 210882*x + 6246*x**2 + 5777*x**2 = 0. Calculate x.
0, 50
Suppose 3*g - 63 = 5*m, 0 = -m - 0*m + 3*g - 3. Let p(u) = -7*u - 105. Let d be p(m). Suppose d*z + 1/4 - 1/2*z**2 + 1/4*z**4 + 0*z**3 = 0. What is z?
-1, 1
Let d(u) be the third derivative of -u**6/80 + 7*u**5/20 - 25*u**4/16 + 3*u**3 - 15*u**2 + 11. Solve d(a) = 0.
1, 12
Let n(b) be the second derivative of 0*b**2 + b + 1/30*b**4 + 0*b**3 + 121/300*b**6 - 12 + 11/50*b**5. Find f such that n(f) = 0.
-2/11, 0
Let c(n) be the second derivative of 4*n**7/147 + n**6/7 - 4*n**5/5 - n**4/14 + 52*n**3/21 - 12*n**2/7 + 2690*n. Solve c(p) = 0 for p.
-6, -1, 1/4, 1, 2
Let k = 496 + -494. Let -8*c**2 + 0 + 5*c**2 - c**k - 32*c - 64 = 0. What is c?
-4
Suppose -5*v = 4*r - 25, -v = -r + 4*r - 16. Suppose -5*n = o - 20 + 3, -r*o - n = -13. Factor -2*q**o - 294*q + 290*q + 4*q**3 + 2*q**2.
4*q*(q - 1)*(q + 1)
Let l(o) be the first derivative of 4*o**3/3 - 144*o**2 + 5184*o + 1676. Factor l(c).
4*(c - 36)**2
Let u(x) = 110*x + 13. Let l be u(15). Suppose 14*c - c**2 + 10*c - 1717 - c**2 + l = 0. Calculate c.
3, 9
Let y be (36/380 + 4/38)/(22/10). Let v(n) be the first derivative of 2/33*n**3 - 4/11*n - y*n**2 + 2. Let v(c) = 0. Calculate c.
-1, 2
Let a(m) be the third derivative of -5*m**8/2856 + 13*m**7/1785 + 13*m**6/510 + 4*m**5/255 + 1607*m**2. Solve a(x) = 0 for x.
-1, -2/5, 0, 4
Let m(q) be the second derivative of -2*q**6/3 + 117*q**5/20 + 155*q**4/12 + 7*q**3 - 2*q + 236. Solve m(b) = 0.
-3/4, -2/5, 0, 7
Let n = 1781 - 963. Find d such that -n*d**3 - 72*d**5 + 680*d**2 - 125*d + 561*d**4 - 75*d - 153*d**4 = 0.
0, 5/6, 2
Let s(n) be the first derivative of -n**3 - 2154*n**2 - 1546572*n - 1315. Find t, given that s(t) = 0.
-718
Factor 0 + 128/3*p**3 - 16*p**4 + 0*p + 0*p**2 - 20/3*p**5.
-4*p**3*(p + 4)*(5*p - 8)/3
Find r such that 33/5*r + 20*r**2 + 102/5*r**3 + 36/5*r**4 + 1/5*r**5 + 0 = 0.
-33, -1, 0
Let s = -1511/14 - -1515/14. Let l(m) be the first derivative of -22/21*m**3 + 0*m - 3/7*m**2 + s*m**4 + 29. Factor l(x).
2*x*(x - 3)*(4*x + 1)/7
Let r(s) be the third derivative of s**8/1512 - 13*s**7/945 + s**6/20 + 37*s**5/270 - 16*s**4/27 - 20*s**3/9 + 3*s**2 - 727. Determine c so that r(c) = 0.
-1, 2, 3, 10
Let x = -18699/4270 + 268/61. Let s(p) be the second derivative of 5/42*p**4 + 1/7*p**3 - 1/105*p**6 + 0 + x*p**5 + 0*p**2 + 12*p. Solve s(b) = 0.
-1, 0, 3
Solve 396*a**3 + 324*a**4 - 365*a - 40*a**2 - 231*a**2 - 158*a**2 - 72 + 97*a**2 - 7*a + 56*a**5 = 0 for a.
-3, -1/2, -2/7, 1
Let o(d) = -1955*d + 5873. Let f be o(3). Suppose 12*q**2 + 16/9 + 2*q**5 - 46/9*q**3 - 8/3*q**4 - f*q = 0. Calc