ird derivative of -l**5/390 - 335*l**4/78 - 112225*l**3/39 + l**2 - 269. Suppose k(w) = 0. Calculate w.
-335
Let n be (138/34 - 3)/(161/2254). Find t, given that -8*t - 16/17 + 162/17*t**3 - n*t**2 = 0.
-2/9, 2
Suppose -3*x + 101*o = 102*o - 7, 5*o + 19 = 3*x. Factor 1/3*p**4 + 1/3*p**x - p**2 - 1/3*p + 2/3.
(p - 1)**2*(p + 1)*(p + 2)/3
Factor 0 + 1056/13*u + 2/13*u**2.
2*u*(u + 528)/13
Let -5768*g**5 + 51*g**4 + 177*g**4 - 669*g**3 + 5764*g**5 + 1288*g**2 - 852*g + 212 - 203*g**3 = 0. What is g?
1, 53
Let a(f) be the second derivative of -2*f**6/15 + 101*f**5/30 - 415*f**4/18 - 8*f**3 + 445*f. Suppose a(x) = 0. What is x?
-1/6, 0, 8, 9
Let d(f) = 17*f**3 - 276*f**2 + 1053*f + 128. Let z(m) = 17*m**3 - 274*m**2 + 1054*m + 128. Let h(n) = -2*d(n) + 3*z(n). Factor h(v).
(v - 8)**2*(17*v + 2)
Let -99/4*v + 57/4*v**2 + 27/4 - 9/4*v**3 = 0. Calculate v.
1/3, 3
Let p(c) = c**2. Let x(u) = 11*u**2 + 243*u - 498. Let f(k) = 8*p(k) - x(k). Suppose f(r) = 0. What is r?
-83, 2
Factor 68*i**2 + 24*i**3 - 18*i**3 + 578*i - 4*i**3.
2*i*(i + 17)**2
Let u(b) be the first derivative of -5*b**4/2 - 55*b**3/3 - 10*b**2 + 25*b - 583. Solve u(w) = 0 for w.
-5, -1, 1/2
Let s(u) be the first derivative of 8/5*u**2 + 1/10*u**4 + 156 + 8/5*u + 2/3*u**3. Solve s(q) = 0.
-2, -1
Let n(p) be the third derivative of p**6/30 + 259*p**5/15 + 515*p**4/6 + 514*p**3/3 + 395*p**2 + p. Find k, given that n(k) = 0.
-257, -1
Let j be 33/(-3) + ((-182)/42 - -16). Suppose 0*o + j*o**2 + 0 - 4/3*o**3 = 0. What is o?
0, 1/2
Let k = -31535/9 - -3504. Let q(z) be the third derivative of -7*z**2 + 0*z - 1/45*z**5 + 0 - 2/9*z**3 - k*z**4. Factor q(o).
-4*(o + 1)**2/3
Suppose c - 924 + 919 = 0. Suppose c*n**3 - 60 + 28*n**2 + 52*n + 32*n**2 - 57*n = 0. What is n?
-12, -1, 1
Suppose -109 = 6*v + 5*y, 2*y - 18 = v + v. Let l be (92/8 + v)*(-4)/25. Determine u, given that 4/5*u**2 + 6/5*u + l = 0.
-1, -1/2
Let s be 12/39*(-10 + ((4599/(-6))/(-7))/9). Suppose s*w**3 + 0 + 0*w - 4*w**2 = 0. Calculate w.
0, 6
Let b(a) be the third derivative of a**6/960 + 29*a**5/120 + 451*a**4/192 + 7*a**3 + 17*a**2 - 40*a. Factor b(g).
(g + 1)*(g + 3)*(g + 112)/8
Let i(r) = -r**2 - 30*r - 187. Let u be i(-21). Let z(o) be the first derivative of 2/3*o - 3*o**u + 49/30*o**5 + 14 - 21/4*o**4 + 109/18*o**3. Factor z(y).
(y - 1)**2*(7*y - 2)**2/6
Let u(i) = -i**3 + 5*i**2 + 49*i + 10. Let q be u(10). Let l(a) be the second derivative of 0*a**3 - 1/3*a**2 + 1/18*a**4 - 18*a + q. Factor l(d).
2*(d - 1)*(d + 1)/3
Suppose 3*x - 39 = -15. Factor -32*i**2 - 44*i + 5*i**2 + 3*i**2 + 20*i**3 + x*i**2 - 8.
4*(i - 2)*(i + 1)*(5*i + 1)
Let h be (((-8)/22)/(-2) + (-103908)/7392)*(2 - 3). Factor h*i - 51/8*i**2 - 3/8*i**3 - 57/8.
-3*(i - 1)**2*(i + 19)/8
Let u be ((-3584)/256 + (-58)/(-4))*0. Factor 0*j + u + 1/11*j**4 + 1/11*j**3 - 2/11*j**2.
j**2*(j - 1)*(j + 2)/11
Suppose -3 = -5*v + 7. Let n = 5 - v. What is q in 3*q**4 + 12*q**2 + 26*q**n + 3*q**5 + 4*q**4 - 2*q**3 + 8*q**4 = 0?
-2, -1, 0
Let h be 0 + (-2 - -1)/(2/(-216)). Suppose -4*q = 3*s - h, 5*s + 3*q - 15 - 165 = 0. Find w, given that 1 - 3*w**4 - s*w + 6*w**2 + 49*w**3 - 40*w**3 + 23 = 0.
-2, 1, 2
Let p(m) be the second derivative of m**7/630 + m**6/30 - 8*m**5/15 + 5*m**4/6 - 8*m - 1. Let s(l) be the third derivative of p(l). Solve s(g) = 0 for g.
-8, 2
Let x(n) be the second derivative of -n**5/20 - 268*n**4/15 - 1493*n**3/30 - 213*n**2/5 - 3925*n + 2. Factor x(u).
-(u + 1)*(u + 213)*(5*u + 2)/5
Let v = 1447/8718 + 1/1453. Let w(n) be the second derivative of -v*n**4 - 11*n + 0 + 0*n**2 - 1/3*n**3. Suppose w(l) = 0. What is l?
-1, 0
Let v(h) = h**2 - 5*h + 1. Let i be v(6). Determine t so that i*t**3 + 12*t**4 - 8*t**2 - 3*t**3 - 7*t**3 + 9*t**5 + 2*t**2 = 0.
-1, 0, 2/3
Factor 200/11*a**2 + 1456/11 + 1654/11*a + 2/11*a**3.
2*(a + 1)*(a + 8)*(a + 91)/11
Let k(f) be the second derivative of 1/24*f**4 + 0 - 5/6*f**3 - 11/4*f**2 - 32*f. Determine t so that k(t) = 0.
-1, 11
Let d(g) be the second derivative of 14*g**6/15 - 2*g**5/5 - 7*g**4/3 + 4*g**3/3 + 572*g - 2. Let d(t) = 0. What is t?
-1, 0, 2/7, 1
Let m be (134/(-1407))/((32/84)/(-8)). Solve 2/3*r**4 + 8/3*r + 0*r**2 - m*r**3 + 0 = 0.
-1, 0, 2
Let k be -5 - (-3 + 1)*453/6. Suppose -292*t + 145*t = -k*t. Suppose t - 1/4*o + 1/4*o**2 = 0. Calculate o.
0, 1
Let 117/4*o**3 - 51/4*o**4 + 0 + 51/4*o**2 - 57/2*o - 3/4*o**5 = 0. What is o?
-19, -1, 0, 1, 2
Let q(p) = -p**5 + p**4 - p**3 + 2*p**2. Let c(k) = 12*k**5 + 8*k**4 - 40*k**3 + 32*k**2 - 36*k + 8. Let v(w) = -c(w) - 16*q(w). Factor v(t).
4*(t - 2)*(t - 1)**4
Let m(t) be the first derivative of t**6/345 - t**5/690 - t**4/69 + t**3/69 + 25*t**2 - 25. Let y(q) be the second derivative of m(q). Factor y(z).
2*(z - 1)*(z + 1)*(4*z - 1)/23
Let q = -5165 - -5167. Let t(j) be the second derivative of -1/42*j**4 - 10*j + 0*j**q + 0 + 2/21*j**3. Solve t(s) = 0.
0, 2
Let g = 435 - 283. Suppose 4*q = -48 + g. Factor -3*b**2 - 8 + q + 75*b - 72*b.
-3*(b - 3)*(b + 2)
Let 399/4*u**3 - 1089 - 1375*u - 37/4*u**4 - 707/4*u**2 + 1/4*u**5 = 0. Calculate u.
-2, -1, 11, 18
Let a = 1/21847 + 65539/43694. Let q(u) be the second derivative of -22*u**3 - a*u**5 + 1/10*u**6 + 30*u**2 + 0 - 15*u + 33/4*u**4. Factor q(r).
3*(r - 5)*(r - 2)**2*(r - 1)
Suppose 4*m = -9 - 3, -5*k - 100 = 5*m. Let g = k + 19. Solve 2/11*x - 4/11 + 6/11*x**g = 0.
-1, 2/3
Let q(a) be the first derivative of -a**8/840 - a**7/105 - a**6/60 - 7*a**3/3 + 2*a + 8. Let p(s) be the third derivative of q(s). Factor p(o).
-2*o**2*(o + 1)*(o + 3)
Let v(o) be the first derivative of 4*o**5 + 15*o**4 - 44*o**3/3 + 36*o - 110. Let a(g) = -g**4 - g**3 - 2. Let b(z) = 36*a(z) + 2*v(z). What is r in b(r) = 0?
-22, 0, 1
Let q be (-90)/(-60)*(1 + 1 - 0). Suppose -8 = 4*m - 2*m + 3*p, 12 = -q*p. Determine z so that 1/9*z**m - 1/9 + 0*z = 0.
-1, 1
Let j = 79 + -76. Let f = 5 - j. Let -75*s + 125 - s**3 - 4*s**2 + 4*s**f + 15*s**2 = 0. What is s?
5
Let b(t) = -2*t**2 + 2*t + 43. Let m be b(5). Suppose 0 = -j - f - 2*f + 12, -3*j - m*f = -18. Factor 4/3*w**j + 2/3*w**2 + 0 + 2/3*w**4 + 0*w.
2*w**2*(w + 1)**2/3
Let a(g) = -47 - 6*g**2 - 2*g - 2*g + 81 + 11*g. Let p(q) = -5*q**2 + 8*q + 31. Let z(d) = 6*a(d) - 7*p(d). Find o such that z(o) = 0.
-13, -1
Let x(w) be the third derivative of -w**7/1680 + 13*w**6/80 - 1441*w**5/120 - 130*w**4 - 1600*w**3/3 + 6361*w**2. Factor x(y).
-(y - 80)**2*(y + 2)**2/8
Let h(u) be the second derivative of 3*u**5/40 + 5*u**4/2 - 21*u**3/4 + 4*u - 52. Solve h(f) = 0 for f.
-21, 0, 1
Let w(p) = 33*p**2 + 35*p + 44. Let o(c) = 21*c**2 + 23*c + 29. Let s(d) = -8*o(d) + 5*w(d). Let b(f) = f. Let i(y) = 3*b(y) - s(y). Let i(z) = 0. What is z?
-2
Let u(o) be the first derivative of 111*o**4/4 + 295*o**3/2 + 219*o**2 - 6*o - 1687. Factor u(h).
3*(h + 2)**2*(74*h - 1)/2
Let u be 1 - ((-8)/16 + 0). Let g be 2/(-5) - 468/(-520). Factor -u*k + 0*k**2 + g*k**3 + 1.
(k - 1)**2*(k + 2)/2
Suppose -x + 5*x = 5*r + 33, -4*x - 17 = 5*r. Factor 2*o**x + 44 + 51 + 2*o**2 - 111.
4*(o - 2)*(o + 2)
Let v(d) be the second derivative of -d**5/30 - 11*d**4/3 + d**3/9 + 22*d**2 + 1414*d. Factor v(j).
-2*(j - 1)*(j + 1)*(j + 66)/3
Find x, given that -202*x**2 + 8526 - 28526 - 692*x + x**3 + 0*x**3 - 824*x + 11916*x = 0.
2, 100
Let d(i) be the second derivative of 0 - 1/6*i**4 - 16/3*i**3 - 15*i**2 - 273*i. What is k in d(k) = 0?
-15, -1
Let y(m) be the third derivative of 3*m**8/4480 + m**7/5040 - 229*m**5/60 - 185*m**2. Let j(w) be the third derivative of y(w). Factor j(x).
x*(27*x + 2)/2
Let v(j) be the first derivative of -j**4/8 - 20*j**3/3 - 39*j**2/4 - 1862. What is y in v(y) = 0?
-39, -1, 0
Let l(q) = -28*q**2 + 1992*q + 251996. Let r(c) = 32*c**2 - 1990*c - 251995. Let m(i) = -9*l(i) - 8*r(i). Factor m(w).
-4*(w + 251)**2
Factor -2219*l + 80 + 12102*l + 419351*l**2 + 5917*l + 360774*l**2.
5*(395*l + 4)**2
Let k(c) be the third derivative of -3/14*c**7 + 25/4*c**4 - 20/3*c**3 + 5/336*c**8 + 29/24*c**6 + 6*c**2 + 0*c - 43/12*c**5 + 0. Factor k(t).
5*(t - 4)*(t - 2)*(t - 1)**3
Let q(f) = f**2 - 14*f - 2. Let d be q(-9). Solve 35*b**2 + 72 - d*b + 93 + 1190*b**3 - 1185*b**3 = 0 for b.
-11, 1, 3
Let h(l) = 57 - 82*l**2 - 28*l + 39 + 83*l**2. Let t be h(24). Determine w, given that 0*w**2 + 4/7*w**5 + 0*w**3 - 4/7*w**4 + t + 