 l = -65411 - -65419. Factor l*w**3 + 23/3*w + 1/3*w**5 - 8/3*w**4 - 34/3*w**2 - 2.
(w - 3)*(w - 2)*(w - 1)**3/3
Let g(b) be the second derivative of -5*b - 1/4*b**4 + 5*b**3 - 2 + 0*b**2. Determine r so that g(r) = 0.
0, 10
Let q(d) be the first derivative of 0*d + 2/5*d**2 - 151 - 2/5*d**3. Suppose q(c) = 0. What is c?
0, 2/3
Let q be (17 + 1)*(-1)/(-3). Suppose -3*k - 42 = -q*k. Find b such that -k*b - 2*b**3 - b**3 + 3*b**2 + 20*b = 0.
-1, 0, 2
Let a(i) be the first derivative of -i**6/40 - 4*i**5/5 - 15*i**4/8 + 104*i**2 + 49. Let p(r) be the second derivative of a(r). Factor p(o).
-3*o*(o + 1)*(o + 15)
Let f(s) be the first derivative of -s**4/6 - 26*s**3/3 - 74*s**2/3 - 1211. Factor f(x).
-2*x*(x + 2)*(x + 37)/3
Let m be 6435/385 + (-7 + 2)*3. Factor 2/7*t + 2/7*t**2 - m.
2*(t - 2)*(t + 3)/7
Let g = 23434 - 164032/7. Factor g*f**2 - 48/7 - 6*f.
6*(f - 8)*(f + 1)/7
Let h(m) = m**3 + 3*m**2 - m + 1. Let w be h(2). Suppose 156*t - 609 = 2199. Factor w*o - o**3 + t*o - 4*o**2 - 40*o.
-o*(o + 1)*(o + 3)
Let a(m) be the third derivative of -7*m**7/120 - 959*m**6/480 - 709*m**5/120 - 145*m**4/24 - 3*m**3 + 5823*m**2. Determine r so that a(r) = 0.
-18, -1, -2/7
Let x = -4681 - -4681. Let h(n) be the third derivative of x*n + 3/16*n**4 + 0 + 1/6*n**3 + 7/120*n**5 - 23*n**2. What is p in h(p) = 0?
-1, -2/7
Let c(q) be the second derivative of -1/3*q**4 - 7/12*q**5 + 2*q**3 + 10 - q + 2/15*q**6 + 0*q**2 - 1/126*q**7. Suppose c(y) = 0. What is y?
-1, 0, 1, 6
Let v be -7 - (17 - (49 - 25)). Factor 2/3*c**3 + 0 - 2/3*c**4 + 0*c + v*c**2.
-2*c**3*(c - 1)/3
Let p = 152 - 138. Let x(f) = 7*f**3 - 4*f**2 - 21*f - 5. Let g(b) = 20*b**3 - 12*b**2 - 62*b - 14. Let t(z) = p*x(z) - 5*g(z). Suppose t(j) = 0. What is j?
-2, 0, 4
Let l(x) be the second derivative of -118*x + 63/4*x**4 + 2 + 637/6*x**3 + 23/20*x**5 + 1/30*x**6 + 343*x**2. Factor l(d).
(d + 2)*(d + 7)**3
Let l(z) be the third derivative of z**5/30 + 87*z**4/8 + 65*z**3/3 - z**2 + 9. Find p, given that l(p) = 0.
-130, -1/2
Let x(z) be the first derivative of 3*z**4/4 - 2*z**3 - 723*z**2/2 - 714*z + 9386. Let x(i) = 0. What is i?
-14, -1, 17
Let i(w) = w**2 - w - 1. Let q(r) be the third derivative of -r**5/20 + r**4/4 + 5*r**3/6 + 21*r**2 - r. Let u(g) = 20*i(g) + 5*q(g). Factor u(a).
5*(a + 1)**2
Let k = 800446/3 + -266800. Determine t, given that -k*t - 28/3 + 14/3*t**3 - 2*t**2 + 2/3*t**4 = 0.
-7, -1, 2
Find k, given that -6*k + 2/5*k**2 + 0 = 0.
0, 15
Let g be (3/(-4))/((1830/(-7259))/((-80)/(-35))). Solve -37/5*m - 2*m**4 - 52/5*m**2 - g*m**3 - 2 - 1/5*m**5 = 0.
-5, -2, -1
Factor -860*a + a**3 - 5*a**3 + 5*a**3 + 0*a**3 - 864 - 2620*a**2 + 2408*a**2.
(a - 216)*(a + 2)**2
Let l(b) = -13*b**4 - 38*b**3 - 3*b**2 + 107*b + 76. Let g(o) = -5*o**4 + o**2 - o. Let r(n) = -3*g(n) + l(n). Factor r(q).
2*(q - 19)*(q - 2)*(q + 1)**2
Let t(g) be the first derivative of 5/9*g**2 - 7/18*g**4 + 0*g + 4/27*g**3 - 82. Factor t(u).
-2*u*(u - 1)*(7*u + 5)/9
Let p = 545419/10260 - 1010/19. Let n(f) be the third derivative of 0*f**3 - f**2 + p*f**6 + 4/27*f**4 + 0*f + 4/135*f**5 + 0. Factor n(d).
2*d*(d + 4)**2/9
Let r(g) = 31*g**3 - 162*g**2 + 3*g + 4. Let v be r(5). Let t be (-6 - v/24)*4. Suppose 5/2*q**t + 5*q**3 + 0*q + 0 + 5/2*q**4 = 0. What is q?
-1, 0
Let u be (-16)/952 - 7180/(-2380). Suppose -z - 7 = -4*i, -z - 10 = -5*i - 1. Let -1/4*y**4 - u + y + 0*y**3 + 9/4*y**i = 0. Calculate y.
-2, 1, 3
Let a(w) be the third derivative of w**5/15 + 13*w**4/2 + 15*w**2 + 30. Factor a(j).
4*j*(j + 39)
Determine q so that -34/15*q**3 - 76/15*q**2 + 0*q + 0 + 2/15*q**4 = 0.
-2, 0, 19
Let n(j) be the first derivative of j**6/15 - 17*j**4/10 + 24*j**3/5 - 4*j**2 - 1578. What is q in n(q) = 0?
-5, 0, 1, 2
Let o(x) = -34*x**3 - 161*x**2 - 1601*x - 1444. Let m(c) = 54*c**3 + 242*c**2 + 2402*c + 2166. Let y(g) = 5*m(g) + 8*o(g). Factor y(h).
-2*(h + 1)*(h + 19)**2
Let z(f) be the third derivative of 0*f + 1/70*f**7 + 9*f**2 + 0*f**4 - 16*f**3 - 9/40*f**6 + 2 + 11/10*f**5. Determine i, given that z(i) = 0.
-1, 2, 4
Find v, given that 4785/2*v + 33/2*v**3 + 381*v**2 + 2178 = 0.
-11, -12/11
Let k be (6/(-9))/(112/(-21) + 5). Suppose -3*c + k*c + 3 = 3*u, -3*u = -2*c - 3. Factor j**3 + c + 1/3*j + j**2 + 1/3*j**4.
j*(j + 1)**3/3
Let u = 11375/12 - 79577/84. Factor u*x**4 - 24/7*x**3 + 0 + 24/7*x - 4/7*x**2.
4*x*(x - 6)*(x - 1)*(x + 1)/7
Let n = 79 + -212. Let q = -133 - n. Suppose 0 + q*c - 6/11*c**3 + 12/11*c**2 = 0. Calculate c.
0, 2
Factor 510*b**3 - 2025*b**3 - 60 + 12*b**2 - 52*b + 505*b**3 + 510*b**3 + 504*b**3.
4*(b - 3)*(b + 1)*(b + 5)
Suppose 3*r - 7 = 5. Suppose 40*s - 56*s + 192 = 0. Factor 13*o**3 + 7*o**4 - s*o**r - 3*o**3.
-5*o**3*(o - 2)
Let z be (62831/747 - 83) + 14/9. Suppose 2/9*r**2 - z + 8/9*r = 0. What is r?
-6, 2
Let a = -861 - -863. Let r = 0 - -2. Factor 20*f**r - 8*f**2 + 3*f**4 - 8*f**a - 7*f**2.
3*f**2*(f - 1)*(f + 1)
Let f be -6*(-3)/(15 + -6). Factor 14*b + 39*b**3 - 36*b**3 - f*b - 15*b**2.
3*b*(b - 4)*(b - 1)
Let o(s) be the third derivative of -s**7/10080 + s**6/180 + 49*s**4/6 - 2*s**2 - 71*s. Let h(m) be the second derivative of o(m). Solve h(t) = 0 for t.
0, 16
Let n(u) be the second derivative of 7*u**6/15 + 43*u**5/5 + 46*u**4 + 24*u**3 - 6136*u. Factor n(o).
2*o*(o + 6)**2*(7*o + 2)
Let x(d) = d**2 - 14218*d + 99479. Let y be x(7). Let -4 - 6*h + 83/2*h**3 + 51/2*h**4 + 5*h**5 + 19*h**y = 0. Calculate h.
-2, -1, -1/2, 2/5
Let o(d) = -4*d**3 - 9*d**2 + 7*d + 1. Let r be o(1). Let p be r - -4 - 45/(-40). Factor 0 - p*j**2 - 1/8*j.
-j*(j + 1)/8
Factor -256*d + 766/3 - 1/6*d**3 + 129/2*d**2.
-(d - 383)*(d - 2)**2/6
Let s(f) be the third derivative of -f**7/140 - f**6/18 - f**5/60 + f**4/2 + 145*f**3/6 + 3*f**2 + 7. Let c(j) be the first derivative of s(j). Solve c(g) = 0.
-3, -1, 2/3
Let l be (-23)/12*(-2670)/30705. Factor 1/6*t**3 + 1/2*t - l - 1/2*t**2.
(t - 1)**3/6
Let w(v) = -10 + 5*v - 6 - 9 + v**2 + 16. Let l be w(-8). Suppose -5*q**5 - 10*q**3 - l*q**4 + 29 - 29 = 0. What is q?
-2, -1, 0
Let j(y) = 18*y - 6. Let s be j(1). Let t be s/5 - 198/495. Factor 2/7*i**3 + 0 + 4/7*i + 6/7*i**t.
2*i*(i + 1)*(i + 2)/7
Let f(r) = 6*r**3 + 1214*r**2 + 4*r + 8. Let x(z) = 10*z**3 + 2433*z**2 + 7*z + 14. Let h(i) = -7*f(i) + 4*x(i). Factor h(q).
-2*q**2*(q - 617)
Determine h so that 97/2 - 1/4*h**2 - 95/4*h = 0.
-97, 2
Let g be 34/10 - 3 - 112/5. Let c = g + 25. Solve 0*j**3 + 6 + 10 + 12*j**c + 44*j**2 - 2*j**3 + 56*j = 0.
-2, -2/5
Let v(a) = 183*a**3 + 3327*a**2 + 12321*a - 6111. Let i(u) = -23*u**3 - 416*u**2 - 1540*u + 764. Let l(d) = 33*i(d) + 4*v(d). Factor l(y).
-3*(y + 8)**2*(9*y - 4)
Let r be 1138/5690*75/(-2)*((-9)/(-6))/(-3). Determine s so that 5/4*s**3 - 5/4 - 15/4*s**2 + r*s = 0.
1
Let f(q) = -2*q**3 + 65*q**2 - 29*q + 32. Let p be f(26). Suppose 0 = p*n - 8070*n. Let n*z + 8/9*z**2 - 4/9*z**3 + 0 = 0. What is z?
0, 2
Let t be 5/(-44) + 3405/(-165) + 21. Factor t*c**2 + 0 + 2*c.
c*(c + 8)/4
What is k in -423/4*k**4 + 3*k**2 + 621/2*k**3 - 414*k + 3/4*k**5 + 0 = 0?
-1, 0, 2, 138
Let o(f) = -4*f**2 - 16*f + 7. Let b be o(-4). What is y in -10*y**2 + 40*y**3 + 12*y**3 + b*y**2 + 4*y**4 - 53*y**2 = 0?
-14, 0, 1
Let y = 65209/36 + -7129/4. Let s = y - 259/9. What is q in -2/3*q**4 + s*q + 0*q**3 + 2/3*q**2 - 1/3*q**5 + 0 = 0?
-1, 0, 1
Let j = -16 - -15. Let g be (-5 - (0 + j))/(8/(-4)). Factor -5*p**4 - 6*p**g + 14 - 11*p**3 - 6*p**3 - 14.
-p**2*(p + 3)*(5*p + 2)
Let q = 182 - 179. Factor -833*x**3 + 403*x**q - 30*x**2 + 403*x**3 + 3*x**4.
3*x**2*(x - 10)*(x + 1)
Let m = -287767 + 2877671/10. Factor -11/10 + m*x**2 - x.
(x - 11)*(x + 1)/10
Let k(g) be the second derivative of -g**4/30 - 194*g**3/15 - 9409*g**2/5 + 737*g. Factor k(x).
-2*(x + 97)**2/5
Let u(w) be the first derivative of -3*w**5/5 - 573*w**4/2 - 1140*w**3 - 1707*w**2 - 1137*w - 2271. Factor u(j).
-3*(j + 1)**3*(j + 379)
Let a(w) be the second derivative of w**6/15 + 729*w**5/10 + 22204*w**4 + 132496*w**3/3 - 711*w. Factor a(v).
2*v*(v + 1)*(v + 364)**2
Let v(t) = 3*t**4 - 12*t**3. Let d(m) = 19*m**4 - 70*m**3. Let k(p) = 6*d(p) - 39*v(p). Factor k(u).
-3*u**3*(u - 16)
Let m be (-50)/(-100) - 10/(-4). Let p(h) be the second derivative of 1/80*h**5 - 1/48*h**4 - 10*h + 1/8*h**2 - 1/24*h**m + 0. Factor p(j).
(j - 1)**2*(j + 1