72 + 83741/42. Let l = i + -1993. Factor 1/5*n**2 - 4/5*n - l.
(n - 5)*(n + 1)/5
Let o = 135445/7 - 19349. Find a such that -o*a**3 - 4/7*a + 6/7*a**2 + 0 = 0.
0, 1, 2
Let u be ((-394)/(-144))/((-35)/(-21)). Let j = u + -25/24. Factor 3/5*l**2 - j*l + 0.
3*l*(l - 1)/5
Let u be (9 - 2275/(-21))*18/4. Solve u*f**3 - 2123*f + 5184 + 2099*f**2 + 11195*f + 3193*f**2 + 501*f**3 = 0.
-12/7
Let j be (21 + -16)*2 - (-252)/(-27). Factor -j*z**4 + 0*z + 58/3*z**2 - 56/3*z**3 + 0.
-2*z**2*(z - 1)*(z + 29)/3
What is u in -5*u**4 - 1176/5*u - 1526/5*u**2 - 72*u**3 + 3087/5 = 0?
-7, -21/5, 1
Let a(m) be the third derivative of -m**6/3960 + m**5/330 + 7*m**4/88 + 65*m**3/2 + 113*m**2. Let d(l) be the first derivative of a(l). Solve d(f) = 0.
-3, 7
Factor -85*q - 7*q**3 + 66 - 46 - 16 - 50*q**2 - 44 + 2*q**3.
-5*(q + 1)**2*(q + 8)
Let h(r) be the third derivative of r**6/120 + 16*r**5/15 + r**4/8 + 32*r**3 - 30*r**2 + 2. Let o be h(-64). Suppose 0*v + o + 1/3*v**2 = 0. Calculate v.
0
Suppose -2*c + 33*p = 35*p - 12, 3*c = 4*p + 39. Suppose 100*j + 115*j - j**3 - 195*j + c*j**2 + 2*j**3 + 12 = 0. Calculate j.
-6, -2, -1
Factor 576/5 - 114/5*u + 3/5*u**2.
3*(u - 32)*(u - 6)/5
Let k(o) = -o**3 - 21*o**2 - 18*o - 4. Suppose -300*j = -310*j - 10. Let w(m) = -m**3 + 2. Let h(z) = j*k(z) - 2*w(z). Suppose h(r) = 0. Calculate r.
-6, -1, 0
Let l(s) = s**2 + 2*s - 1. Let c(m) = -3*m**2 + 199*m + 206. Let r(v) = -c(v) - 2*l(v). Suppose r(j) = 0. What is j?
-1, 204
Let l(k) be the third derivative of k**7/336 - 17*k**6/960 + k**5/30 - k**4/48 + 2275*k**2. Factor l(m).
m*(m - 2)*(m - 1)*(5*m - 2)/8
Let b(g) be the first derivative of g**6/24 + g**5/10 - g**4/16 - g**3/6 - 1120. Factor b(p).
p**2*(p - 1)*(p + 1)*(p + 2)/4
Let g be ((-112)/192 - (-32)/24)/((-4)/(-16)). Factor 9/4*i + 3/4 - 3/4*i**5 - 3/2*i**g + 3/2*i**2 - 9/4*i**4.
-3*(i - 1)*(i + 1)**4/4
Let d = 221229/244 + 35/61. Let b = 909 - d. Suppose 5/4 + 11/4*l + b*l**2 + 1/4*l**3 = 0. Calculate l.
-5, -1
Let y(v) be the third derivative of -v**5/450 - 53*v**4/180 - 34*v**3/15 + 3318*v**2. Factor y(h).
-2*(h + 2)*(h + 51)/15
Solve -82*z**3 - 72 + 41/2*z**4 + 64*z**2 + 96*z - 3/2*z**5 = 0 for z.
-1, 2/3, 2, 6
Let j(i) = -i**3 + 149*i**2 + 17*i - 2529. Let s be j(149). Find v, given that -v**2 + 2/3 - 1/3*v + 1/3*v**3 + 1/3*v**s = 0.
-2, -1, 1
Factor 2/17*z**2 + 218/17*z + 216/17.
2*(z + 1)*(z + 108)/17
Let a be 27/11 - (5 + -4). Let m be (-5349)/41009 + 217/253. Factor -10/11*h**2 + 2/11*h**3 + a*h - m.
2*(h - 2)**2*(h - 1)/11
Suppose -55 = -165*u + 154*u. Let r(q) be the first derivative of -9/4*q**2 - 45/8*q**4 + 6/5*q**u - 3*q - 28 + 8*q**3. Solve r(f) = 0 for f.
-1/4, 1, 2
Let k(r) be the first derivative of r**5/90 + r**4/27 - 13*r**3/27 + 10*r**2/9 - 25*r + 39. Let x(f) be the first derivative of k(f). Let x(i) = 0. Calculate i.
-5, 1, 2
Let b(z) be the third derivative of -1/168*z**8 + 1/525*z**7 + 0*z**3 - 5*z**2 + 0*z**4 + 0 + 0*z**5 - 11*z + 0*z**6. Determine n, given that b(n) = 0.
0, 1/5
Let r(o) be the first derivative of -2/5*o**2 + 0*o - 95 + 13/15*o**3 - 3/4*o**4 - 1/30*o**6 + 7/25*o**5. Find v, given that r(v) = 0.
0, 1, 4
Suppose -38*u - 217 = -7*u. Let s be (12/35)/((-2)/35*u). Let 0 - 2/7*l**2 - s*l = 0. What is l?
-3, 0
Let l(j) be the third derivative of j**6/240 + j**5/12 + 7*j**4/16 + 82*j**2 - 8*j. Determine f so that l(f) = 0.
-7, -3, 0
Let x(r) be the second derivative of -r**5/110 + 5*r**4/66 + 16*r**3/11 - 252*r**2/11 + 1531*r. Factor x(g).
-2*(g - 6)**2*(g + 7)/11
Suppose -x + 5*d + 17 = 0, 0 = 3*x - 2*d + 6*d + 6. Solve 3*t**4 + 5*t**2 + 13*t**3 + 12*t**3 + t**4 + t**x = 0 for t.
-6, -1/4, 0
Let u(p) be the first derivative of -p**7/70 - p**6/20 + 7*p**5/20 - p**4/2 - 58*p**2 + 61. Let l(n) be the second derivative of u(n). Factor l(d).
-3*d*(d - 1)**2*(d + 4)
Let t(b) be the first derivative of -2*b**3/3 - 43*b**2 - 900*b - 1519. Determine i, given that t(i) = 0.
-25, -18
Let f(c) be the second derivative of 0 - 267*c - 13/3*c**2 + 1/36*c**4 - 11/18*c**3. What is w in f(w) = 0?
-2, 13
Let y be 96/2808*78 + 1/12. Suppose -15*g - 1/4*g**4 + 3/2*g**3 + y*g**2 - 25 = 0. What is g?
-2, 5
Let l(o) = -9*o**3 + 391*o**2 - 4265*o - 962. Let j(y) = -18*y**3 + 781*y**2 - 8529*y - 1922. Let w(x) = 3*j(x) - 7*l(x). Factor w(m).
(m - 22)**2*(9*m + 2)
Let n be 10127/266 - 3/42. Suppose -28 = -n*r + 24*r. Let 6 - 15/2*g**r + 3/2*g**4 + 0*g**3 + 0*g = 0. What is g?
-2, -1, 1, 2
Determine r, given that -2*r**2 + 3251 + 2291 - 11535*r + 223 + 2*r**2 + 10*r**2 = 0.
1/2, 1153
Let s be ((-623)/5)/((-2 + 3)/1). Let m = s - -125. Factor -8/5*n - 26/5*n**3 + 12/5*n**4 + 24/5*n**2 - m*n**5 + 0.
-2*n*(n - 2)**2*(n - 1)**2/5
Let k(i) be the second derivative of -i**4/30 - 8*i**3/5 - 23*i**2/5 + 6*i + 22. Let k(v) = 0. Calculate v.
-23, -1
Let f be 4 + 1 + (-19)/4. Let c be (((-6)/(-88))/(220/605))/((-1)/(-4)). Factor -1/2 - f*j**3 + c*j + 0*j**2.
-(j - 1)**2*(j + 2)/4
Let f = 489 + -494. Let v be (252/20)/(-9) - f. Factor v*r**3 + 0*r + 14/5*r**4 + 4/5*r**2 + 0.
2*r**2*(r + 1)*(7*r + 2)/5
Let g be (-215 - -214)/((-1)/(-3)) - 86/(-28). Let u(h) be the first derivative of -6/7*h**2 - g*h**4 + 0*h - 10/21*h**3 + 36. Find a, given that u(a) = 0.
-3, -2, 0
Let p = 1724 - 1721. Let i(q) be the second derivative of -1/16*q**4 + 10*q + 0 + 1/112*q**7 + 0*q**5 - 1/16*q**p + 0*q**2 + 1/40*q**6. Factor i(o).
3*o*(o - 1)*(o + 1)**3/8
Let c(q) = -q**2 - 48*q + 22. Let r(i) be the third derivative of -i**4/3 + i**3/6 + 144*i**2 - 1. Let v(o) = c(o) - 6*r(o). Solve v(j) = 0.
-4, 4
Suppose -5*q - 17 + 7 = 0, 3*n - 14 = -2*q. Let m be 1/n*-1*-24. Find p such that 20/7*p - 60/7*p**2 - 20/7*p**3 + 100/7*p**m - 48/7*p**5 + 8/7 = 0.
-2/3, -1/4, 1
Suppose 23*b - 27*b = -12. Determine w so that -3*w - 2*w**2 + 2*w**b + 1 + w + 1 + 0 = 0.
-1, 1
Let r be (-245 - (1 + 4))/(297/(-396)). Factor r*q + 100*q**2 + 1250/3 + 2/3*q**4 + 40/3*q**3.
2*(q + 5)**4/3
Let x(j) be the first derivative of 2*j**3/15 - 17*j**2 - 172*j/5 - 2472. Factor x(u).
2*(u - 86)*(u + 1)/5
Let p(f) be the second derivative of -f**5/30 - 23*f**4/18 + 8*f**3/3 + 4*f + 247. Suppose p(y) = 0. Calculate y.
-24, 0, 1
Let m(k) be the second derivative of -k**5/5 - 23*k**4/3 + 2*k**3/3 + 46*k**2 + 468*k. Factor m(i).
-4*(i - 1)*(i + 1)*(i + 23)
Let h(i) be the second derivative of -i**6/2520 - 4*i**5/105 - 5*i**4/14 + 53*i**3/6 - i**2 - 167*i. Let r(w) be the second derivative of h(w). Solve r(z) = 0.
-30, -2
Let m(v) = 2*v + 1. Let j(d) = -5*d**2 + 15*d + 35. Suppose 0*x - 20 = 4*x. Let z(c) = x*m(c) + j(c). Determine k, given that z(k) = 0.
-2, 3
Let w(n) be the first derivative of n**6/27 - 4*n**5/9 + 4*n**4/9 + 20*n**3/27 - n**2 - 214. Suppose w(s) = 0. Calculate s.
-1, 0, 1, 9
Let d = -718 - -709. Let t be 15/16*d/((-135)/20). Factor 1/4*c**4 + 1/2 - t*c**3 + 9/4*c**2 - 7/4*c.
(c - 2)*(c - 1)**3/4
Factor -28322/15 + 476/15*g - 2/15*g**2.
-2*(g - 119)**2/15
Let a(q) be the third derivative of q**5/5 + 125*q**4/12 - 7*q**3 + 2*q**2 - 2240. Let a(t) = 0. What is t?
-21, 1/6
Factor 3660*v**2 - 5785*v - 590*v**3 + 4960 - 157791*v**4 - 1615*v + 157786*v**4.
-5*(v - 2)**3*(v + 124)
Let c(u) = -u**3 + 1406*u**2 + 2820*u + 1408. Let x(y) = -1408*y**2 - 2820*y - 1408. Let r(h) = -4*c(h) - 5*x(h). Factor r(i).
4*(i + 1)**2*(i + 352)
Suppose -70*d + 2 = -5 + 7. Let f(o) be the second derivative of 11*o + 1/30*o**4 + 7/100*o**5 + 1/30*o**6 + d*o**3 + 0*o**2 + 0. Factor f(g).
g**2*(g + 1)*(5*g + 2)/5
Let m = 168 + -166. What is h in -9*h**m + 18*h - 31*h**2 - h**3 + 37*h**2 = 0?
-6, 0, 3
Solve 3*b**2 - 45*b + 18 + 95/3*b**3 + 25/3*b**4 = 0 for b.
-3, -2, 3/5
Let q be (14/5)/(3/60). Let j = q + -53. Factor -597*z**3 - 8*z - 12*z**2 + 591*z**j + 0*z**2 - z**4.
-z*(z + 2)**3
Let c be (13/104)/((-3)/(-48)). Solve -59*f + 5*f**3 + 86*f**2 - 456*f**c + 6904*f = 0.
0, 37
Factor -5688853 - 16220*y - 1324490 - 5*y**2 - 7013391 + 872314.
-5*(y + 1622)**2
Let v = 139 - 136. Suppose -5*i**3 - 54*i**2 + 5*i**3 + 0*i**v - 3*i**3 - 243*i = 0. Calculate i.
-9, 0
Suppose -15*r - 29/2 - 1/2*r**2 = 0. Calculate r.
-29, -1
Let 240*s**2 + 40*s**5 - 3*s**5 - 100*s**5 + 400*s + 100*s**4 - 480*s**3 + 40*s**5 + 38*s**5 = 0. What is s?
-10, -2/3, 0, 2
Let u(b) = 2003*b - 230343. Let w be u(115). Let -2/5*