e third derivative of t**6/840 + t**5/40 - t**4/7 - 2*t**3 - 59*t**2. Let f(i) be the first derivative of y(i). Factor f(j).
3*(j - 1)*(j + 8)/7
Let t(y) = -y**3 - 4*y**2 + 5*y + 2. Let q be t(-5). Let s be 126/28 - (102/26 - (-37)/481). Determine i, given that i - s*i**q + 3/2 = 0.
-1, 3
Let x(z) be the third derivative of 0*z - 159*z**2 + 0*z**3 + 1/360*z**5 + 0 + 41/144*z**4. Find s such that x(s) = 0.
-41, 0
Let u(x) be the first derivative of x**3/3 - 119*x**2/6 + 26*x + 4339. Factor u(k).
(k - 39)*(3*k - 2)/3
Factor 82/7*o - 2/7*o**3 - 4/7*o**2 + 12.
-2*(o - 6)*(o + 1)*(o + 7)/7
Let s be (-865)/(-8650) - 49/(-10). Let 0 - 1/3*v**2 - s*v + 2/3*v**3 = 0. What is v?
-5/2, 0, 3
Let k be 1 - (-3)/((-12)/(-1376)). Factor 10 + 9*b**2 + 3*b**3 + 381*b + 14 + 9*b**2 - k*b.
3*(b + 2)**3
Suppose 3*x - 5 = 2*d, -1554*x = -1550*x + 3*d - 18. Factor 1/7*o**5 - 4/7*o**2 - 4/7*o**4 + 0 + 1/7*o + 6/7*o**x.
o*(o - 1)**4/7
Let d be (-2 - -1) + (-47 - (-485)/10). Factor 0 + d*y**2 + 1/8*y**3 + 3/8*y.
y*(y + 1)*(y + 3)/8
Let t(p) be the first derivative of -3*p**4/4 - 63*p**3 - 3069*p**2/2 - 2883*p - 144. What is o in t(o) = 0?
-31, -1
Let u(j) = 1137*j**2 + 2176*j + 9. Let g(i) = -570*i**2 - 1101*i - 4. Let w(x) = -5*g(x) - 2*u(x). Determine n so that w(n) = 0.
-2, -1/576
Let t = -89/164 - -1935/1148. Suppose -5054*w**2 - 152*w - t = 0. Calculate w.
-2/133
Let j = -152 - -156. Let q be (-750)/(-120)*j/5. Solve -1/2*n**q - n**4 + 0 + 0*n**2 + 0*n - 1/2*n**3 = 0.
-1, 0
Suppose 4*d - 2*d = -74*d. Determine v so that 0 + d*v + 2/7*v**3 + 0*v**2 - 1/7*v**4 - 1/7*v**5 = 0.
-2, 0, 1
Suppose 5*k - 5*s - 86 = 39, -5*k = 5*s - 75. Factor -209*j**2 + j**4 - 2*j**4 + 5*j**3 - 4*j**4 - k*j + 229*j**2.
-5*j*(j - 2)*(j - 1)*(j + 2)
Find k such that -56*k**4 + 419*k + 367*k + 4*k**5 - 718*k - 72*k**3 - 120 + 2*k**2 + 174*k**2 = 0.
-2, -1, 1, 15
Let l(k) be the third derivative of -75*k**2 - 22/3*k**4 + 8/15*k**5 + 32*k**3 + 0 + 1/30*k**6 + 0*k. Solve l(g) = 0.
-12, 2
Let x(w) = -4*w**2 + 50*w + 48. Let o(g) = g**3 - 9*g**2 + 100*g + 95. Let z(j) = 2*o(j) - 5*x(j). Suppose z(d) = 0. What is d?
-5, -1, 5
Let z(i) = i**4 + i**3 + i**2 + 6*i + 1. Let u(p) = -p**5 + 9*p**4 + 21*p**3 - 13*p**2 + 6*p + 6. Let g(h) = -5*u(h) + 30*z(h). Determine j so that g(j) = 0.
-3, -1, 0, 2, 5
Let i be (-1)/(-2) + (-4)/40*-5. Let f be 3/i*12/54*3. Factor 4/9*w**3 + 0 + 0*w + 4/9*w**f.
4*w**2*(w + 1)/9
Find p, given that -3*p**3 + 162*p + p**5 + 32*p**3 - 249*p**4 + 131*p**4 + 103*p**4 + 207*p**2 = 0.
-2, -1, 0, 9
Let k = 133 + -129. Solve 18*f**4 - 3*f**5 + 7*f**2 + 5*f**2 - 12*f**k - 15*f**4 = 0.
-2, 0, 1
Let c(r) be the second derivative of -r**5/20 + r**4/12 + r**3/3 + 20*r. Let w be c(-2). Factor -w*x - 11*x**3 - 2*x**4 - 5*x**3 - x**4 + 7*x**4 + 20*x**2.
4*x*(x - 2)*(x - 1)**2
Let g = 230833 + -164739. Solve 3*h**5 - 5*h**5 - g*h + 20*h**2 - 30*h**3 - 11*h**4 + 66126*h - 9*h**4 = 0.
-8, -2, -1, 0, 1
Suppose -l + 34 = 3*n - 5, 0 = -5*l + 15. Let t(i) be the second derivative of 0*i**3 + 0*i**2 - 2/21*i**4 + 1/70*i**5 + 0 + n*i. Let t(h) = 0. Calculate h.
0, 4
Let t(n) be the first derivative of 2*n**3/15 - 59*n**2/5 - 24*n + 2025. Suppose t(p) = 0. What is p?
-1, 60
Let d(f) be the third derivative of -7/27*f**4 + 20/27*f**3 - 1/90*f**5 - 16*f**2 + 0*f + 0. What is j in d(j) = 0?
-10, 2/3
Let u(w) be the first derivative of w**6/12 - 3*w**5/2 + 49*w**4/8 - 19*w**3/2 + 11*w**2/2 - 2008. Let u(c) = 0. What is c?
0, 1, 2, 11
Let r = -2311 + 2314. Let c be 70/75 + (-4)/(-10). Factor 4/3*a**r - c*a + 8/3*a**2 - 8/3.
4*(a - 1)*(a + 1)*(a + 2)/3
Let v(n) be the third derivative of n**6/90 - 43*n**5/120 - 11*n**4/24 + 5*n**3 - 22*n**2. Let m(l) be the first derivative of v(l). Solve m(t) = 0 for t.
-1/4, 11
Suppose 20*t + 67 = 307. Suppose t = 5*s - 4*l, 0 = 29*s - 25*s - l - 3. Factor s + 0*h**2 - 2/7*h**3 + 2/7*h.
-2*h*(h - 1)*(h + 1)/7
Let j(c) = -c**3 + 146*c**2 + 475*c - 4046. Let q be j(149). Solve -3/4*b**3 + 108 + 75/4*b**2 - q*b = 0 for b.
1, 12
Let o(v) = -5*v**2 - 7*v + 25. Let n(x) = -5*x**2 + 16*x. Let m(s) = -s**2 + 4*s - 1. Let c(y) = -26*m(y) + 6*n(y). Let u(z) = 3*c(z) - 2*o(z). Factor u(g).
-2*(g - 2)*(g + 7)
Let w be (4*9/30)/(132/440). Let h be 1*w/(-22)*-11. Suppose 2*c**4 + 0 - 4/3*c - h*c**2 + 2/3*c**5 + 2/3*c**3 = 0. Calculate c.
-2, -1, 0, 1
Let k(o) = o + 24. Let j(a) = -a - 25. Let s(d) = -4*j(d) - 3*k(d). Let p be s(-16). Factor p - 12 + i**2.
i**2
Factor 159/7 + 3/7*w**2 + 162/7*w.
3*(w + 1)*(w + 53)/7
Let p(t) be the first derivative of -t**7/5460 + t**5/65 + 4*t**4/39 - 10*t**3/3 + 53. Let r(o) be the third derivative of p(o). Suppose r(d) = 0. What is d?
-2, 4
Factor -2/3*t**2 - 4/15*t - 2/15*t**4 + 0 - 8/15*t**3.
-2*t*(t + 1)**2*(t + 2)/15
Let l(c) be the first derivative of c**4/22 - 1526*c**3/33 - 139*c**2 - 1530*c/11 - 1359. Determine t so that l(t) = 0.
-1, 765
Suppose 1340*m**2 - 6220036 + 1337*m**2 - 2681*m**2 - 3065*m - 6911*m = 0. What is m?
-1247
Let g = -386 + 380. Let v be -4 - -1 - g - 105/42. Let -1/2*k**2 + v*k + 3 = 0. Calculate k.
-2, 3
Let x(o) = 20*o**2 + 5248*o - 15588. Let n(g) = 4*g**2 + 1050*g - 3116. Let k(h) = 24*n(h) - 5*x(h). What is a in k(a) = 0?
-263, 3
Let j(x) = -10*x**4 - 116*x**3 + 134*x**2 + 188*x + 26. Let o(z) = z**4 + 13*z**3 - 15*z**2 - 21*z - 3. Let p(d) = -6*j(d) - 52*o(d). Factor p(u).
4*u*(u + 1)*(u + 3)*(2*u - 3)
Factor -1/2*d**3 + 2*d - 46 + 23/2*d**2.
-(d - 23)*(d - 2)*(d + 2)/2
Let x = 501590 - 501588. Determine s, given that -40*s - 23/3*s**4 + 167/3*s**x + 119/3*s**3 + 1/3*s**5 - 48 = 0.
-1, 1, 12
Let g(r) = -r**3 + 12*r**2 + 27*r + 18. Let y be g(14). Suppose 5*q + y*k = -12, -q = -0*q - 3*k - 9. Factor -7*l + 8*l + 2 + 12*l**2 + q*l - 13*l**2.
-(l - 2)*(l + 1)
Let t(b) be the third derivative of b**6/280 + 53*b**5/140 + 13*b**4/14 + 3312*b**2. Factor t(j).
3*j*(j + 1)*(j + 52)/7
Factor -75 + 27*l + 90*l**2 + 121*l - 4*l**3 - 40*l**2 - 54*l**2 - 65.
-4*(l - 5)*(l - 1)*(l + 7)
Suppose -464*x**3 + 930*x**3 + 24*x**2 - 465*x**3 - 35 + 11 - x = 0. What is x?
-24, -1, 1
Let s(a) be the second derivative of a**10/1440 + a**9/420 + 3*a**8/2240 - a**7/420 - 3*a**4/4 + 14*a. Let i(r) be the third derivative of s(r). Factor i(l).
3*l**2*(l + 1)**2*(7*l - 2)
Suppose 5*y = -i + 6511 + 1253, 3*i - 3*y - 23292 = 0. Solve -336*t - 708 + 2*t**2 + 2*t**2 + i = 0 for t.
42
Suppose 4*u - 6 = 14. Let a = -860 + 860. Factor -2/7*p**u + a*p**2 + 0*p**3 + 0*p + 0 + 4/7*p**4.
-2*p**4*(p - 2)/7
Let h(p) be the second derivative of p**6/720 + p**5/45 + 13*p**4/144 + p**3/6 - 7*p**2/2 + 91*p. Let b(g) be the first derivative of h(g). Factor b(m).
(m + 1)**2*(m + 6)/6
Let a be (92828/(-1265))/(6/(-5))*18. Let c = -1100 + a. Factor -10/11*f**3 - c*f + 0 - 2/11*f**4 - 16/11*f**2.
-2*f*(f + 1)*(f + 2)**2/11
Let f(j) be the second derivative of -j**4/54 + 271*j**3/27 + 272*j**2/9 + 1306*j. Factor f(m).
-2*(m - 272)*(m + 1)/9
Suppose -7*t = -4*t + p + 5, 3*p = t - 15. Let j(z) be the first derivative of -2/9*z**3 + 1/12*z**4 - 10 + t*z + 0*z**2. Factor j(u).
u**2*(u - 2)/3
Let y = -400 + 399. Let x be (y + -5)*(0 + 1/(-4)). Solve 6 + 0*a - x*a**2 = 0.
-2, 2
Suppose 3*o = v - 34, 4*o - 5*v + 49 = -0*o. Let y be o + (-5 - -5) + 13. Find t, given that -56/3 + 64/3*t + 2/3*t**3 - 22/3*t**y = 0.
2, 7
Let n(k) = -10*k**3 + k**2 - 26*k + 84. Let l(c) = 3*c**3 + c + 1. Let r(i) = 3*l(i) + n(i). Let s be r(3). Factor 0*u - 1/3*u**3 + s + u**2.
-u**2*(u - 3)/3
Let 1512*j**3 + 360*j**4 - 6*j**5 - 7245 - 704*j**2 + 2*j**5 - 2041*j + 920*j - 3427*j + 10629 = 0. What is j?
-3, 1, 94
Let m(o) be the third derivative of -1/210*o**5 + 0*o**3 + 1/392*o**8 + 1/147*o**7 + 0*o**4 + 1/420*o**6 + 12*o**2 + 0 + 0*o. Factor m(g).
2*g**2*(g + 1)**2*(3*g - 1)/7
Let s(t) = 3*t**2 - 1519*t - 290317. Let u(n) = -4*n**2 + 1518*n + 290316. Let c(d) = 6*s(d) + 5*u(d). Determine y, given that c(y) = 0.
-381
Let y(f) be the first derivative of -2*f**3/3 - 280*f**2 - 39200*f + 715. Suppose y(c) = 0. What is c?
-140
Let a(v) be the third derivative of 7/12*v**5 + 0*v**6 + 0*v**3 - 1/42*v**7 - 47 - 2*v**2 + 0*v + 5/4*v**4. Determine l so that a(l) = 0.
-2, -1, 0, 3
Let r be (-18)/(-8)*736/19044. Determine j, given that 12/23*j + 18/23 + r*j**2 = 0.
-3
Let f(j) be the third derivati