0*g - 1/240*g**5 - 49/24*g**3 + 7/48*g**w - 13*g**2 + 0. Let j(q) = 0. Calculate q.
7
Let k(h) be the third derivative of h**6/600 + 11*h**5/50 + 43*h**4/40 + 32*h**3/15 + h**2 + 669*h. Determine x, given that k(x) = 0.
-64, -1
Let -20*s - 676*s**2 - 36 - 618*s**2 + 1293*s**2 = 0. What is s?
-18, -2
Let j(l) = -4*l - 14. Let s be j(-4). Let 34*x - 16*x - 3*x**s - 4*x**2 + 9*x**2 = 0. What is x?
-9, 0
Let f(c) be the first derivative of 122*c**3/21 + 125*c**2/7 + 12*c/7 - 4238. Factor f(l).
2*(l + 2)*(61*l + 3)/7
Find q, given that 16/3*q**2 + 0 + 56/3*q + 1/6*q**3 = 0.
-28, -4, 0
Suppose 0 = -61*n + 56*n + 10. Factor -361*p**n + 30*p + 217*p**2 - 9*p + 9.
-3*(3*p - 1)*(16*p + 3)
Let u = -36 + 39. Suppose 2*l - u*l + 2 = 0. Factor 3*g**2 - 4*g**2 + 3 - l*g**2 + 0*g**2.
-3*(g - 1)*(g + 1)
Let v(y) be the second derivative of -3/16*y**4 + 0 + 7/24*y**3 + 1/4*y**2 - 14*y. Find a such that v(a) = 0.
-2/9, 1
Suppose -2*n + 0*n = -60. Suppose 0 = 3*t + 3*j - n, 3*j - 1 = -5*t + 39. Factor 5*l**t - 3*l + 3*l + 64*l**3 - 74*l**3 + 5*l**4.
5*l**3*(l - 1)*(l + 2)
Suppose -26*y + 29*y = 21, -y + 7 = 4*i. Let t(j) be the first derivative of i*j + 3/16*j**4 + 3/20*j**5 + 0*j**3 - 27 + 0*j**2. Factor t(g).
3*g**3*(g + 1)/4
Let i = 131687/230342 + -9/32906. Find q such that 5/7 - 1/7*q**2 - i*q = 0.
-5, 1
Let d be (-1)/5*(2 - -3)*-2. Factor 16*s**2 - 13*s**2 - 39*s**2 + 6*s**3 - d*s**3.
4*s**2*(s - 9)
Let l(m) be the first derivative of -4/55*m**5 - 1/11*m**2 - 1/33*m**6 + 1/11*m**4 + 8/33*m**3 + 234 - 4/11*m. Find d such that l(d) = 0.
-2, -1, 1
Let x(p) be the first derivative of -3*p**4/10 - 262*p**3/3 + 438*p**2/5 - 1147. Let x(o) = 0. What is o?
-219, 0, 2/3
Let t(u) be the second derivative of u**4/20 + 829*u**3/30 - 277*u**2/5 - 52*u + 27. Factor t(b).
(b + 277)*(3*b - 2)/5
Let f(r) be the second derivative of -r**5/20 - 487*r**4/12 - 81*r**3 - 359*r. Factor f(h).
-h*(h + 1)*(h + 486)
What is q in 2*q**2 + 80/11*q - 2/11*q**3 + 56/11 = 0?
-2, -1, 14
Let j(q) be the first derivative of -q**3/4 - 3*q**2/8 + 15*q - 1403. Factor j(g).
-3*(g - 4)*(g + 5)/4
Solve 140*z**4 - 1090*z**2 + 517 + 195 - z**5 - 4*z**5 + 16307*z - 15502*z + 238 - 800*z**3 = 0 for z.
-1, 1, 10, 19
Let k be (6 - 8)/((-10)/241) + 4/5. What is j in -k - 1/9*j**2 + 14/3*j = 0?
21
Let l be ((-33)/(-12) + -9)*1*-4. Factor 56*g**2 + 7*g**3 - 4*g**4 + 38*g**3 - l*g**3.
-4*g**2*(g - 7)*(g + 2)
Let h(d) = -5*d - 66. Let l be h(-14). Find u, given that 51*u**5 - 8 + 18*u**4 + 16*u**3 - 47*u**5 - 12*u**l - 20*u - 8*u**2 + 10*u**4 = 0.
-2, -1, 1
Suppose -224 = -50*i + 36*i. Let p = -16 + i. Let -3/5*t**5 - 18/5*t**4 + 0*t**2 + p*t - 27/5*t**3 + 0 = 0. Calculate t.
-3, 0
Let d(l) be the third derivative of -1/240*l**6 + 2 - 7/48*l**4 + 57*l**2 - 1/15*l**5 + 0*l + 0*l**3. Factor d(x).
-x*(x + 1)*(x + 7)/2
Factor -1/6*v**2 - 371/6*v - 185/3.
-(v + 1)*(v + 370)/6
Let k(t) be the second derivative of -t**4/12 + 11*t**3/2 - 58*t**2 - 912*t. Solve k(n) = 0 for n.
4, 29
Find k such that 2200*k - 3186*k + 2*k**4 + 3072 + 50*k**3 + 76*k**2 - 2214*k = 0.
-16, 1, 6
Let b = -60/43 - -386/215. Let g = 278/455 - 1/91. Factor 0*y + 0 - g*y**3 + 1/5*y**5 + 0*y**2 - b*y**4.
y**3*(y - 3)*(y + 1)/5
Let o(m) = -4*m**2 - 8006*m - 8024024. Let k(j) = -j**2 + 3*j - 3. Let b(t) = 2*k(t) - o(t). Factor b(v).
2*(v + 2003)**2
Suppose -1936/3 - 2/3*v**3 - 4994/9*v - 2/9*v**4 + 90*v**2 = 0. What is v?
-24, -1, 11
Let j(o) be the second derivative of -o**4/6 + 17*o**3/3 + 3*o**2/2 + 6*o. Let n be j(17). Factor 28*s**2 - n + 7*s**3 - s**3 + 40*s + 8 + 11.
2*(s + 2)**2*(3*s + 2)
Solve -675/4*n**4 - 2055/2*n + 4205/4*n**3 - 110 - 95/4*n**5 + 1115/4*n**2 = 0.
-11, -1, -2/19, 1, 4
Let d(m) be the second derivative of 3*m**7/7 + 52*m**6/5 - 107*m**5/10 + 3*m**4 - 69*m - 76. Factor d(u).
2*u**2*(u + 18)*(3*u - 1)**2
Factor 1/3*s**2 + 4514/3*s + 5094049/3.
(s + 2257)**2/3
Factor -21/2*o**2 + 0 + 33*o - 1/6*o**3.
-o*(o - 3)*(o + 66)/6
Let a(w) be the third derivative of w**8/112 - 2*w**7/35 - 4*w**6/5 + 14*w**2 - 5*w - 16. Suppose a(o) = 0. Calculate o.
-4, 0, 8
Let x(k) be the first derivative of -k**3/3 + 7*k**2 + 40*k - 50. Let c(f) = 3*f**2 - 41*f - 116. Let s(p) = -4*c(p) - 11*x(p). Find m, given that s(m) = 0.
-2, 12
Let b(k) be the second derivative of -k**7/7560 - k**6/540 - k**5/90 + 8*k**4/3 + 9*k + 2. Let o(j) be the third derivative of b(j). Factor o(n).
-(n + 2)**2/3
Let d be 21/(458/60 - 38/285). Solve -4 - d*a - 2/5*a**2 = 0 for a.
-5, -2
Let c = 1/20520 + 41023/348840. Factor -74/17*o**2 - c*o**3 + 76/17*o + 0.
-2*o*(o - 1)*(o + 38)/17
Factor q + 2*q**2 - 3/2 - q**3 - 1/2*q**4.
-(q - 1)**2*(q + 1)*(q + 3)/2
Suppose 35*n - 1728 = -39*n + 20*n. Suppose -252/5*c + n*c**2 + 64/5*c**3 - 648/5 = 0. What is c?
-9/4, 2
Let i(l) be the first derivative of -2/25*l**5 + 139 + 6/5*l - 8/5*l**2 + 0*l**4 + 4/5*l**3. What is s in i(s) = 0?
-3, 1
Let f(j) be the second derivative of -21/80*j**5 + 9/8*j**4 + 3*j**2 + 1/40*j**6 + 2*j - 5/2*j**3 - 7. Solve f(d) = 0.
1, 2
Let w(j) be the second derivative of 44*j - 2/5*j**5 + 0 + 4/3*j**3 - 2/15*j**6 + 2*j**2 + 0*j**4. Let w(p) = 0. What is p?
-1, 1
Let o(b) be the second derivative of -b**7/70 - 2*b**6/25 + 42*b**5/25 - 23*b**4/10 - 11*b**3/2 + 15*b**2 - 3019*b. What is i in o(i) = 0?
-10, -1, 1, 5
Determine a so that 88/3*a - 2/9*a**2 + 266/9 = 0.
-1, 133
Let d(b) be the second derivative of b**5/30 + 10*b**4/9 + 19*b**3/9 - 1003*b. Determine y so that d(y) = 0.
-19, -1, 0
Let s(i) = -i**3 - 14*i**2 + 19*i + 62. Let k be s(-15). Factor -8*y - 6*y - y**k - y**2 - 12*y.
-2*y*(y + 13)
Suppose 0 = -k - 4*k, -4*u - 2*k - 2*k + 12 = 0. Let x(q) be the second derivative of 0 - 1/3*q**u + 0*q**2 + 16*q - 1/36*q**4. Factor x(z).
-z*(z + 6)/3
Let d(l) = -2 + 5 - l**3 + 4*l + 4. Let p be d(-2). Factor -5*c**3 - 23*c - 33*c + c**4 + 53*c + p*c**2.
c*(c - 3)*(c - 1)**2
Suppose 2*b = 2*u - 7*u + 33, -5*u - b = -29. Factor u + 2*v**4 - 8 + 22*v - 7*v**2 - 9 - 6*v**3 + v**2.
2*(v - 3)*(v - 1)**2*(v + 2)
Let g(x) be the first derivative of -2*x**5/25 - 473*x**4/10 + 2*x**3/15 + 473*x**2/5 + 1199. Suppose g(n) = 0. Calculate n.
-473, -1, 0, 1
Let v = -257932 + 257935. Factor 3/4*l**5 - 25/2*l**v + 21/2*l**2 - 7/4 + 13/4*l**4 - 1/4*l.
(l - 1)**3*(l + 7)*(3*l + 1)/4
Let v(r) be the third derivative of -r**7/1155 + 7*r**6/33 - 862*r**5/55 + 4760*r**4/33 - 18496*r**3/33 - 1180*r**2. Let v(z) = 0. What is z?
2, 68
Let r(d) be the second derivative of 3*d**5/140 - 467*d**4/28 + 927*d**3/14 + 4185*d**2/14 + d - 130. Find k, given that r(k) = 0.
-1, 3, 465
Let j be 2 + ((-30888)/(-18549))/(5/(-6)). Let o = 689/1145 - j. What is i in -6/5*i + o*i**2 + 0 + 3/5*i**3 = 0?
-2, 0, 1
Let 3/4*n**4 - 123*n + 135/2*n**2 - 57/4*n**3 + 78 = 0. Calculate n.
2, 13
Factor -10/11*n**3 - 822/11*n**2 + 0 + 664/11*n.
-2*n*(n + 83)*(5*n - 4)/11
Let n(s) = -2*s**3 + 2*s**2 + 2*s + 1. Let g be n(-1). Determine k so that -18 - 12*k**2 + 8*k**g - 4*k**3 + 33*k - 7*k**3 = 0.
-6, 1
Let b(k) be the first derivative of -k**5/45 + k**4/18 + 4*k**3/9 + 203*k**2/2 - 189. Let r(p) be the second derivative of b(p). Factor r(s).
-4*(s - 2)*(s + 1)/3
Let m(f) be the third derivative of -4*f - 1/30*f**4 - 1/225*f**6 + 0*f**3 - 1/1575*f**7 + 0 + 11/450*f**5 + 22*f**2. Factor m(y).
-2*y*(y - 1)**2*(y + 6)/15
Let m = 738561 + -9601279/13. Factor m*j**3 + 80/13*j**2 + 0 - 24/13*j.
2*j*(j + 6)*(7*j - 2)/13
Let w(l) be the second derivative of 1640*l**4/3 + 3274*l**3/3 - 6*l**2 + 2827*l. Factor w(o).
4*(o + 1)*(1640*o - 3)
Let q(m) = 61*m**4 - 15*m**2 + 8*m. Let f(h) = -51*h**4 + 13*h**2 - 7*h. Let g(d) = -6*f(d) - 5*q(d). Determine n, given that g(n) = 0.
-2, 0, 1
Let j(f) be the third derivative of f**5/12 + 115*f**4/3 - 925*f**3/6 - 1358*f**2. Factor j(v).
5*(v - 1)*(v + 185)
Let v(n) = 26*n**2 - 2789*n - 977146. Let y(z) = -15*z**2 + 1394*z + 488569. Let r(w) = 4*v(w) + 7*y(w). Factor r(m).
-(m + 699)**2
Let u(b) be the third derivative of 54545626825*b**6/96 + 8411045*b**5/8 + 6485*b**4/8 + b**3/3 + 8868*b**2. Factor u(y).
(6485*y + 2)**3/4
Let p(o) be the first derivative of -5*o**4/3 + 284*o**3/9 + 122*o**2/3 - 20*o - 1574. Suppose p(u) = 0. Calculate u.
-1, 1/5, 15
Let m be (-24)/4 - (-2380 + -10). Solve -4*u**2 - 42*u - 13*u**2 + 2383*u**3 