Let j = -265924 - -265927. Let -14/5*a**5 + 106/5*a**j - 24/5*a**4 + 16/5*a + 0 - 84/5*a**2 = 0. Calculate a.
-4, 0, 2/7, 1
Let a(j) be the second derivative of -j**4/12 - 7*j**3/2 + 15*j**2 - 9*j. Let f be a(-20). Suppose -50 + 10*u - 4*u**2 + 4*u + 26*u - f = 0. What is u?
5
Find t such that 0*t - 1/2*t**4 + 3*t**3 + 0 + 7/2*t**2 = 0.
-1, 0, 7
Let d be ((-25)/10)/(168/(-36)). Let l(f) be the first derivative of 15/14*f**2 + 0*f**3 + 6/7*f - 6/35*f**5 - d*f**4 - 13. Determine q, given that l(q) = 0.
-2, -1, -1/2, 1
Factor 51/2 - 1/10*g**2 + 127/5*g.
-(g - 255)*(g + 1)/10
Let y(l) be the second derivative of l**4/4 + 97*l**3/2 + 423*l**2 + 208*l + 1. Factor y(v).
3*(v + 3)*(v + 94)
Let t = -327031/9 - -36291. Let m = 418/9 + t. Factor 4 + 10/3*i - m*i**2.
-2*(i - 6)*(i + 1)/3
Let u(z) be the second derivative of 2*z - 9/5*z**2 - 11 + 3/100*z**5 + 0*z**4 - 7/10*z**3. Factor u(k).
3*(k - 3)*(k + 1)*(k + 2)/5
Factor 2/5*u**2 - 173/5 - 69*u.
(u - 173)*(2*u + 1)/5
Suppose 6204 = 2321*f + 1562. Suppose 4*r - 8/3 - 4/3*r**f = 0. What is r?
1, 2
Let j(w) be the first derivative of 25/12*w**3 + 1/16*w**4 + 27/4*w - 119 - 53/8*w**2. Solve j(v) = 0.
-27, 1
Let b be (1 - 9/1)*(98 + 10). Let g = b - -2594/3. Solve -2/3*p**2 - 4/3*p - g = 0.
-1
Let o(c) be the second derivative of -c**4/90 + 64*c**3/9 - 212*c**2/5 + 810*c + 1. Determine b, given that o(b) = 0.
2, 318
Factor -3*b**2 + 20/3 - 1/3*b**3 + 4*b.
-(b - 2)*(b + 1)*(b + 10)/3
Let f(q) be the first derivative of -q**4/2 + 1024*q**3/3 - 65536*q**2 + 10406. Factor f(c).
-2*c*(c - 256)**2
Let 227/4*q**3 + 0*q + 0 + 1/4*q**4 + 0*q**2 = 0. Calculate q.
-227, 0
Let d(t) = 2*t**2 - 17*t - 6. Let m be d(9). Let a = 1 + m. Determine p, given that -5*p**2 + a*p**3 + p - 4*p - 5*p + p**2 = 0.
-1, 0, 2
Suppose 4*y = -3*c + 1042 - 1036, -3*c - 3*y = -6. Find o, given that 0 + 1/2*o**c + 1/2*o + 1/8*o**3 = 0.
-2, 0
Suppose -360 = -20*q - 10*q. Let f be (-3 - -1)*(-2)/(80/q). Factor 2/5 + f*w + 0*w**2 - 1/5*w**3.
-(w - 2)*(w + 1)**2/5
Let x(a) be the third derivative of a**5/270 + 7*a**4/18 + 41*a**3/27 - 5*a**2 - 12*a. What is u in x(u) = 0?
-41, -1
Let p(k) be the third derivative of -4*k**7/315 - 2*k**6/27 - 5*k**5/36 - 143*k**3/6 + 61*k**2 + 2. Let m(a) be the first derivative of p(a). Factor m(x).
-2*x*(4*x + 5)**2/3
Let l(t) = 3*t**2 + t + 21. Let f be l(5). Solve 23 - w**2 - f - w**2 + 3*w**2 + 23*w + 54*w = 0.
-78, 1
Let j be 36/5*(-255)/(-204) + -9. Factor 3*l - 3/4*l**3 + j + 9/4*l**2.
-3*l*(l - 4)*(l + 1)/4
Factor 3/2*p**2 + 5/3*p + 0 - 8*p**3 + 29/6*p**4.
p*(p - 1)**2*(29*p + 10)/6
Let t = -22249/3 + 7417. Let z(y) be the second derivative of -1/4*y**5 + 0 + 19/30*y**3 - 19*y - t*y**4 - 1/5*y**2. Factor z(o).
-(o + 2)*(5*o - 1)**2/5
Let b(i) be the first derivative of -i**4/6 - 5*i**3/3 - 4*i**2 + 23*i - 25. Let j(y) be the first derivative of b(y). Determine s so that j(s) = 0.
-4, -1
Determine l, given that 239 + 544*l**3 - 79*l**2 - 264*l - 134*l**2 - 574*l**3 + 193 = 0.
-4, 9/10
Let l(i) be the first derivative of 12/7*i + 2/35*i**5 + i**2 - 186 - 3/14*i**4 - 2/7*i**3. Factor l(v).
2*(v - 3)*(v - 2)*(v + 1)**2/7
Suppose -16*s = -14*s. Suppose -4*j + 21*j - 34 = s. Factor -v**j - 5 + 2*v - 19*v + 12*v + 11*v.
-(v - 5)*(v - 1)
Let y(f) be the first derivative of 2*f**6 - 238*f**5/5 + 681*f**4/2 - 1670*f**3/3 - 279*f**2 + 324*f - 913. Suppose y(v) = 0. Calculate v.
-1/2, 1/3, 2, 9
Let f(n) be the third derivative of n**5/60 + 83*n**4/4 + 20667*n**3/2 + 1373*n**2. Factor f(l).
(l + 249)**2
Let k(a) be the third derivative of a**5/45 + 1067*a**4/108 - 178*a**3/27 + 3*a**2 + 43*a. Factor k(p).
2*(p + 178)*(6*p - 1)/9
Let f = 19 - 2. Suppose -5*p - a + 129 = -288, a + 413 = 5*p. Factor -30*o**3 - 48*o + 8*o + 22*o**4 + 23*o**4 - p*o**2 - f*o**2.
5*o*(o - 2)*(3*o + 2)**2
Suppose -91 + 128 = 3*m - 4*a, -m = -4*a - 31. Let b(g) be the second derivative of -1/90*g**5 + 1/27*g**m + 34*g + 0 - 2/9*g**2 + 1/27*g**4. Factor b(k).
-2*(k - 2)*(k - 1)*(k + 1)/9
Suppose 4*l - h - 3*h - 32 = 0, 2*l = -3*h + 16. Let l*n**3 - 3*n + 44*n**2 - 4*n**3 + 3*n = 0. Calculate n.
-11, 0
Let d(l) = 4*l**2 + 5*l + 1. Let u(i) = -9*i**2 - 11*i - 3. Let b(a) = 7*d(a) + 3*u(a). Let j be b(-5). Factor 56*v - j*v**2 - v**2 - 8 - 12*v**2.
-2*(v - 2)*(13*v - 2)
Let y(r) be the third derivative of r**8/336 + 2*r**7/105 - r**6/24 - r**5/3 + r**4/6 + 8*r**3/3 - 867*r**2. What is h in y(h) = 0?
-4, -2, -1, 1, 2
Let s(g) = 4*g**2 - 83*g - 6. Let f be s(21). Determine d so that f*d**3 - d**2 - 15*d + 3*d**4 - 29 - 2*d**2 + 29 = 0.
-5, -1, 0, 1
Let x(c) be the first derivative of c**3/18 + 86*c**2/3 + 341*c/2 - 1158. Factor x(p).
(p + 3)*(p + 341)/6
Let g be 17700/(-15930)*24/(-5). Suppose 4/3 + 10/3*j + 2*j**5 - 4*j**2 - g*j**3 + 8/3*j**4 = 0. Calculate j.
-2, -1, -1/3, 1
Let p(o) be the first derivative of -10*o - 11 - 1/60*o**6 - 1/12*o**3 + 0*o**2 - 3/40*o**5 - 1/8*o**4. Let z(h) be the first derivative of p(h). Factor z(j).
-j*(j + 1)**3/2
Let z(u) = 2*u**3 - 1106*u**2 + 145792*u + 295969. Let q(w) = 2*w**2 - 3. Let n(d) = -22*q(d) - 2*z(d). Factor n(h).
-4*(h - 272)**2*(h + 2)
Let n(r) be the second derivative of 0 - 261*r - 12168*r**2 - 1/3*r**4 - 104*r**3. Factor n(z).
-4*(z + 78)**2
Let z(o) = -35*o**2 - 286*o - 43. Let s be z(-8). Let v(d) be the third derivative of 0*d - 1/28*d**4 + 0 + 1/420*d**s + 4/21*d**3 - 8*d**2. Factor v(t).
(t - 4)*(t - 2)/7
Let r be 5/((-425)/(-1853)) + -21. Let x(i) be the first derivative of r*i**3 + 0*i**2 - 32 + 1/10*i**4 + 0*i. Solve x(a) = 0 for a.
-6, 0
Let n = -4399/5 + 881. Let d(c) be the first derivative of -3/20*c**4 - 1/25*c**5 + n*c**2 + 2/15*c**3 + 24 + 8/5*c. Let d(s) = 0. What is s?
-2, -1, 2
Suppose 2784*t + 692*t**2 + 8368/3 - 4/3*t**3 = 0. What is t?
-2, 523
Let s(u) be the third derivative of u**7/420 + 11*u**6/240 - 13*u**5/24 - 25*u**4/16 + 86*u**2 - 5. Factor s(q).
q*(q - 5)*(q + 1)*(q + 15)/2
Let g = -170647 + 170650. Factor 3/4*w**g - 1/4*w + 0 + 1/2*w**2.
w*(w + 1)*(3*w - 1)/4
Let r = 546344 - 546341. Factor -3/5*t**4 - 60 - 54/5*t**r + 108*t - 183/5*t**2.
-3*(t - 1)**2*(t + 10)**2/5
Let o = 2124 - 2120. Let l(i) be the first derivative of -6*i - 4*i**3 + 17 + 15/2*i**2 + 3/4*i**o. Solve l(z) = 0 for z.
1, 2
Let t(f) be the second derivative of f**6/15 + 6*f**5 - 42*f**4 + 256*f**3/3 + f - 754. Factor t(s).
2*s*(s - 2)**2*(s + 64)
Let s = -10 + 13. Let g = -3308 - -36398/11. Determine o so that 0 + 2/11*o**s + 6/11*o + 2/11*o**4 - g*o**2 = 0.
-3, 0, 1
Suppose -3*w + w - 2*z = -70, 0 = 4*z - 20. Factor -13*i + 13*i - 25*i**3 + 0*i**2 + 10*i**5 - 5*i**5 - 10*i**4 + w*i**2.
5*i**2*(i - 3)*(i - 1)*(i + 2)
Factor 1/7*m**3 - 365/7*m + 44/7*m**2 - 408/7.
(m - 8)*(m + 1)*(m + 51)/7
Suppose x + 93 = 5*x - 3*a, 5*x + a - 121 = 0. Let q be (88/x)/(11/6). Factor 1/2*c**4 - 2*c**3 - c + 0 + 5/2*c**q.
c*(c - 2)*(c - 1)**2/2
Let s = -3614 + 3617. Let y(n) be the first derivative of 1/8*n**4 + 1/2*n - 1/6*n**s - 1/4*n**2 + 33. Find h such that y(h) = 0.
-1, 1
Let t(s) be the third derivative of -s**6/540 - 47*s**5/135 + 701*s**4/108 - 202*s**3/9 + 322*s**2 + 7*s. Factor t(l).
-2*(l - 6)*(l - 1)*(l + 101)/9
Find k such that -2/19*k**2 + 256/19*k - 992/19 = 0.
4, 124
Let 2/3*g**5 + 268/3*g**3 + 44/3*g**4 + 84 + 664/3*g**2 + 230*g = 0. What is g?
-14, -3, -1
Determine g, given that 3837 + 2320*g**2 + 7683 - 941*g - 18739*g + 6085*g**2 = 0.
48/41
Let t be 1/12*32/6. Let p = -2588 - -23294/9. Factor p*a**2 - 2/9*a - t.
2*(a - 2)*(a + 1)/9
Factor -5*g**3 - 391*g - 10698 + 21403 - 658*g**2 - 10443.
-(g + 1)*(g + 131)*(5*g - 2)
Let v(y) be the first derivative of -2*y**3/9 - 1775*y**2/3 - 3548*y/3 - 4297. Let v(t) = 0. What is t?
-1774, -1
Let n(s) be the first derivative of 23*s**4/2 + 152*s**3 - 572*s**2 + 96*s - 2843. Factor n(u).
2*(u - 2)*(u + 12)*(23*u - 2)
Suppose -5*z + 48 = 3*h - 7, -2*h + 58 = -2*z. Suppose 250*c + 65248 = 266*c. Factor 45*t**3 + 4078*t - 10*t**2 - c*t - 60*t**4 + h*t**5.
5*t**2*(t - 1)**2*(5*t - 2)
Let q(l) be the third derivative of -2*l**2 + 1/51*l**4 + 1/17*l**3 + 0 + 1/510*l**5 + 24*l. Let q(d) = 0. What is d?
-3, -1
Let d(w) be the first derivative of -w**6/540 - 7*w**5/90 - 2*w**3/3 - w + 38. Let o(x) be the third derivative of d(x). Suppose o(m) = 0. What is m?
-14,