5*(d - 12)**2*(d + 1)
Let n(a) be the first derivative of -2/21*a**3 + 125 + 20/7*a**2 - 72/7*a. Solve n(d) = 0 for d.
2, 18
Suppose 1379*k - 638*k - 896 = 1327. Let 4/3 - 22/3*x**4 + 26/3*x - 26/3*x**k + 6*x**2 = 0. Calculate x.
-1, -2/11, 1
Let p(o) be the second derivative of o**5/10 - 115*o**4/3 - 463*o**3/3 - 232*o**2 + 160*o. Factor p(v).
2*(v - 232)*(v + 1)**2
Let g(f) be the third derivative of -f**8/168 + 8*f**7/105 + 31*f**6/30 + 22*f**5/15 - 61*f**4/12 - 52*f**3/3 - 1105*f**2. What is r in g(r) = 0?
-4, -1, 1, 13
Factor -90*y**2 - 1806336 - 89*y**2 + 5376*y - 77*y**2 + 252*y**2.
-4*(y - 672)**2
Let x be ((-423)/(-198) - 5)*(-16)/28. Determine f, given that -18/11*f**2 + 2/11*f + x - 2/11*f**3 = 0.
-9, -1, 1
Factor 2/3*z**2 - 1260*z + 595350.
2*(z - 945)**2/3
Let d = -23451 + 23454. Suppose -2*k - 2*l = 0, -6*k + 3*l + 24 = -3*k. Find v, given that 4*v**d + 8/3*v**k - 4*v**2 - 4 - 28/3*v = 0.
-1, 3/2
Let l(u) be the third derivative of u**6/720 - u**5/30 + u**4/3 + 61*u**3/6 + 49*u**2. Let z(t) be the first derivative of l(t). Factor z(s).
(s - 4)**2/2
Let x be (-3 + 14/6)/((-238)/73731). Let f = 207 - x. Factor 8/17 - 22/17*k**2 + 12/17*k**3 + 18/17*k**4 - f*k.
2*(k + 1)**2*(3*k - 2)**2/17
Let f(w) be the second derivative of 12*w**7/7 - 17*w**6/10 - 903*w**5/20 - 39*w**4/2 + 36*w**3 - 3232*w. Let f(z) = 0. What is z?
-3, -2/3, 0, 3/8, 4
Find y such that 157*y + 171 + 13510*y**2 - 17 - 13508*y**2 - y**3 = 0.
-11, -1, 14
Let p(x) be the first derivative of -5*x**6/36 + 7*x**5/6 - 55*x**4/24 - 35*x**3/18 + 5*x**2 + 1130. Suppose p(c) = 0. Calculate c.
-1, 0, 1, 3, 4
Let n(h) be the third derivative of 0*h**5 + 0*h**7 - 47*h + 0 + 2*h**2 + 4/15*h**6 + 0*h**3 - 8/3*h**4 - 1/84*h**8. Find d such that n(d) = 0.
-2, 0, 2
Let f = -32 + 35. Factor 408*m**3 + 16 - 6*m**2 + 12*m + 0*m**2 - 204*m**f - 206*m**3.
-2*(m - 2)*(m + 1)*(m + 4)
Let p = -73 + 74. Let t be ((-228)/(-14))/p - 16/56. Factor -t + 4*x + 19*x - 7*x - 4*x**2.
-4*(x - 2)**2
Let f(y) be the third derivative of y**7/945 + 17*y**6/540 + 7*y**5/45 - y**4/27 - 56*y**3/27 + 3*y**2 + 977. Solve f(v) = 0.
-14, -2, 1
Factor -10918*j + 1165678 + 30609 + 1198523 + 360790 + 4278*j + 4*j**2.
4*(j - 830)**2
Let b(j) be the third derivative of 0*j - 1 + 1/4*j**5 - 1/4*j**4 + 29*j**2 + 1/70*j**7 - 1/10*j**6 + 0*j**3. Suppose b(s) = 0. What is s?
0, 1, 2
Let s(o) be the third derivative of -o**7/280 + 451*o**6/160 - 10215*o**5/16 + 50625*o**4/32 + 418*o**2 - 1. Solve s(y) = 0 for y.
0, 1, 225
Let y be 25/(-2)*(20 + -110)/45. Let p(g) be the first derivative of 1/15*g**3 + 1/5*g**2 - 1/20*g**4 + 0*g - y. Factor p(h).
-h*(h - 2)*(h + 1)/5
Let w(d) be the second derivative of -d**4 - 2149*d**3/2 - 1611*d**2/2 + 1274*d. Suppose w(c) = 0. What is c?
-537, -1/4
Let q(d) = -17807*d - 373945. Let c be q(-21). Factor -36/11 - 14/11*p + 2/11*p**c.
2*(p - 9)*(p + 2)/11
Let 2479 - 2*j**2 + 2061 - 4846 - 3*j**2 - 35*j + 4*j**2 = 0. Calculate j.
-18, -17
Let l(k) be the third derivative of -k**7/42 + 37*k**6/12 - 563*k**5/4 + 7400*k**4/3 - 64000*k**3/3 + 729*k**2. Factor l(q).
-5*(q - 32)**2*(q - 5)**2
Let i = 138582/7 - 554279/28. Find h such that 2*h + i + 1/4*h**2 = 0.
-7, -1
Let t(b) be the first derivative of 32/9*b**3 - 37/6*b**2 - 124 - 5/12*b**4 + 10/3*b. What is n in t(n) = 0?
2/5, 1, 5
Let a(v) be the third derivative of -v**2 + 46/3*v**3 + 0*v + 15 - 1/30*v**5 + 7/4*v**4. Determine u, given that a(u) = 0.
-2, 23
Suppose 50*h - 45*h = -5*u - 5385, -5*u + 3255 = -3*h. Let w = h + 1082. Factor 4/9*j**w + 64/9 + 32/9*j.
4*(j + 4)**2/9
Determine o, given that -144*o**3 - 397 + 76*o**3 + 201*o - 585*o**2 + 91 + 56*o**3 + 1170*o = 0.
-51, 1/4, 2
Suppose 105625 - 34*i**3 + 697*i**2 - 57*i**3 - 40625*i + 4103*i**2 - 89*i**3 = 0. Calculate i.
5, 65/6
Let n(g) = 37*g**4 - 1081*g**3 + 5989*g**2 - 4845*g + 25. Let h(s) = 9*s**4 - 270*s**3 + 1497*s**2 - 1212*s + 6. Let j(m) = 25*h(m) - 6*n(m). Factor j(f).
3*f*(f - 82)*(f - 5)*(f - 1)
Factor -22*w - 78*w - 5*w**2 + 49039 - 49219.
-5*(w + 2)*(w + 18)
Let b(x) be the third derivative of -x**6/3240 + x**5/90 - x**4/6 - 26*x**3/3 - 13*x**2. Let q(p) be the first derivative of b(p). Factor q(d).
-(d - 6)**2/9
Suppose 4*v = 4*k + 8, -36*v + k + 4 = -34*v. Factor -361/4 - 19/2*b - 1/4*b**v.
-(b + 19)**2/4
Let q(r) be the second derivative of -5*r**7/21 - 17*r**6/15 + 17*r**5/10 + 17*r**4/6 - 4*r**3 + r + 96. Suppose q(l) = 0. Calculate l.
-4, -1, 0, 3/5, 1
Let l = -2/325 + 1/78. Let k(c) be the third derivative of 0*c + 0*c**3 - 1/30*c**4 + l*c**5 + 0 - 15*c**2. Solve k(r) = 0.
0, 2
Let t be (-2555)/(-2628) + (0 - 6/27). Let n(g) be the first derivative of t*g + 9/16*g**4 + 7/4*g**3 - 13 + 15/8*g**2. Solve n(o) = 0.
-1, -1/3
Let w = 532833/2 + -266284. Let 25 - 165*c**3 - 115/2*c**2 + w*c = 0. What is c?
-1, -2/11, 5/6
Let o = -1513 + 1515. Let r(t) be the first derivative of 2/9*t**3 - 2/3*t - 6 - 1/6*t**o + 1/12*t**4. Solve r(n) = 0.
-2, -1, 1
Let g(t) be the second derivative of t**4/12 - 511*t**3/6 + 509*t**2 + 1028*t + 2. Factor g(p).
(p - 509)*(p - 2)
Factor 2*q**4 + 25541*q**2 + q**4 + 1164*q**2 + 303750*q - 2278125 + 295*q**2 + 650*q**3 + 2*q**4.
5*(q - 5)*(q + 45)**3
Let r(u) be the first derivative of u**4/30 - 28*u**3/15 + 15*u**2 - 216*u/5 - 4621. Factor r(g).
2*(g - 36)*(g - 3)**2/15
Let k(y) be the first derivative of -685*y**3 - 3*y**2 + 42*y**2 + 42 - 507*y + 1368*y**3 - 684*y**3. Factor k(v).
-3*(v - 13)**2
Let f(c) = -c**3 + 7*c**2 - 31*c + 219. Let q be f(7). Let d(r) be the second derivative of 26*r + 0 - 5/3*r**3 + 6*r**q + 1/6*r**4. Factor d(k).
2*(k - 3)*(k - 2)
Suppose -2*w + 2 + 2 = 5*d, d = 2*w + 8. Determine k so that -39*k**2 + 18*k + 1 - 1 + 57*k - 3*k**4 - 66*k**d + 33*k**3 = 0.
0, 1, 5
Suppose 0 = 5*q - i + 11, 5*q + 55*i + 7 = 57*i. Let f be (12 - 19) + q/(-6)*14. Solve f + 0*m + 1/6*m**3 - 1/6*m**5 + 0*m**4 + 0*m**2 = 0 for m.
-1, 0, 1
Let b = 234189485792937/2380136 + -4230912657/43. Let x = b - 3/3256. Factor 0*l - 50/17*l**5 - 18/17*l**3 + 0*l**2 + 0 - x*l**4.
-2*l**3*(5*l + 3)**2/17
Let t be (-1)/3 - (-156)/450. Let v(l) be the third derivative of t*l**5 + 0*l**3 - 13*l**2 + 1/15*l**4 + 0*l + 0. Suppose v(z) = 0. Calculate z.
-2, 0
Let n(h) be the second derivative of h**5/20 - h**4/20 - 3*h**3/10 + 13*h**2/2 - 27*h + 3. Let f(v) be the first derivative of n(v). Find t such that f(t) = 0.
-3/5, 1
Suppose -45*m = -39*m - 18. Find x such that -x + 0*x**5 - x**5 + 102*x**3 - 100*x**m = 0.
-1, 0, 1
Factor -490*a + a**4 + 8*a**3 + 771*a - 964*a + 3*a**4 - 1440*a**2 - 1444 - 2205*a.
4*(a - 19)*(a + 1)**2*(a + 19)
Suppose -84*f - 180 = -120*f. Let u(h) be the third derivative of 0*h**4 + 0*h**3 + 0 - 3*h**2 - 1/20*h**f + 0*h. Factor u(n).
-3*n**2
Determine u, given that -1459 + 4*u**2 + 1459 - 660*u = 0.
0, 165
Let x be 4/6 + 8/(-12). Suppose -6 = -q - x. Find h such that -q + 3*h**2 - 6*h**2 + 50*h - 41*h = 0.
1, 2
Suppose -128/7*a - 34/7*a**2 + 2/7*a**3 + 160/7 = 0. Calculate a.
-4, 1, 20
Let f(m) be the second derivative of 5/2*m**4 + 1/4*m**5 + 0 + 81*m + 0*m**2 + 25/6*m**3. Factor f(s).
5*s*(s + 1)*(s + 5)
Let l(t) be the first derivative of -t**5/5 - 9*t**4 - 323*t**3/3 + 18*t**2 + 324*t - 853. Factor l(h).
-(h - 1)*(h + 1)*(h + 18)**2
Let t(j) = -15*j**3 + 7*j**2 + 15*j - 7. Let c(v) = 2*v**3 - v**2 - 2*v + 1. Let b(m) = 20*c(m) + 4*t(m). Factor b(f).
-4*(f - 1)*(f + 1)*(5*f - 2)
Let l = 34312/3 - 11437. Let f(k) be the first derivative of l*k**3 + 17 + 0*k - 1/12*k**6 + 3/8*k**4 + 0*k**2 + 0*k**5. Factor f(n).
-n**2*(n - 2)*(n + 1)**2/2
Let k(t) be the third derivative of 0*t**4 + t + 0 + t**2 + 2*t**3 - 1/20*t**5. Find d such that k(d) = 0.
-2, 2
Factor 19787 + 37*p**2 + 177349 - 1352*p + 464*p - 36*p**2.
(p - 444)**2
Let x(z) be the second derivative of -5/24*z**5 + 0*z**2 + 0 - 3*z + 1/2*z**3 + 1/72*z**6 + 5/4*z**4. Let f(j) be the second derivative of x(j). Factor f(k).
5*(k - 3)*(k - 2)
Let a(z) be the third derivative of z**8/252 - 8*z**7/63 + 11*z**6/10 - 88*z**5/45 - 104*z**4/9 + z**2 - 275. Let a(g) = 0. Calculate g.
-1, 0, 4, 13
Let g(u) be the first derivative of -u**5/25 + 19*u**4/20 - 36*u**3/5 + 118*u**2/5 - 176*u/5 - 2629. Factor g(l).
-(l - 11)*(l - 4)*(l - 2)**2/5
Let s = 13159844/9 + -1462204. Suppose -s*q 