/72 + 259*t**3/36 - 257*t**2/6 + 1260*t. Factor x(c).
-(c - 257)*(c - 2)/6
Let d(j) be the third derivative of -j**8/84 + 2*j**7/7 + 7*j**6/30 - 37*j**5/5 + 15*j**4 + 6600*j**2. What is w in d(w) = 0?
-3, 0, 1, 2, 15
Suppose 26 = 5*h - 3*r, 2*r = 3*h - 0*h - 16. Let h + 2*a**3 + 8*a**2 - 3 - 14*a - 9 - 12 = 0. What is a?
-5, -1, 2
Let h = -14730 - -14730. Let k(d) be the first derivative of 2/5*d**5 + h*d - 3/2*d**4 - d**2 - 31 + 2*d**3. Factor k(x).
2*x*(x - 1)**3
Factor 12/7*d**3 + 0 - 4/7*d**4 + 52/7*d**2 - 60/7*d.
-4*d*(d - 5)*(d - 1)*(d + 3)/7
Solve 1800/7 + 2/7*q**5 - 30*q - 1852/7*q**2 + 52/7*q**4 + 208/7*q**3 = 0 for q.
-15, -1, 1, 4
Solve 301*k**2 + 828*k**3 + 110*k**4 + 278*k + 353*k**4 + 531*k**2 - 405*k**4 + 214*k**4 - 2*k**5 = 0 for k.
-1, 0, 139
Let h(x) = x**2 - 2*x + 9. Let n = -31 - -35. Let s be h(n). Solve -9*g + 9 - g + 5*g**2 - 21 + s = 0.
1
Let n(l) be the first derivative of -l**4/22 + 52*l**3/11 - 1440*l**2/11 - 6400*l/11 + 29. Factor n(d).
-2*(d - 40)**2*(d + 2)/11
Let b(r) = -r**3 - 125*r**2 + 202*r + 9578. Let i be b(-126). Find a, given that 4/7*a + 2/7*a**i - 16/7 = 0.
-4, 2
Suppose -71*r + 80 = -51*r. Suppose 5*n = 2*g - 4*g + 6, -9 = -r*n - 3*g. Suppose 1/3*p**3 - 1/3*p**2 + 0 + n*p = 0. Calculate p.
0, 1
Let m(t) be the second derivative of -t**6/45 + 19*t**5/30 - 73*t**4/18 + 11*t**3/3 + 42*t**2 + 9*t - 13. What is w in m(w) = 0?
-1, 3, 14
Factor -242/5*x + 0 + 2/5*x**2.
2*x*(x - 121)/5
Let r be 14/(-7) - ((-701)/100 - -1 - -4). Let n(q) be the third derivative of 0*q - q**2 + r*q**5 + 0 + 1/10*q**3 + 1/20*q**4. Factor n(u).
3*(u + 1)**2/5
Let x(n) be the first derivative of -n**5/20 + n**4/4 + 3*n**3 - 135*n + 43. Let h(s) be the first derivative of x(s). Find r such that h(r) = 0.
-3, 0, 6
Let t(n) be the second derivative of n**4/3 - 106*n**3/3 + 104*n**2 - 81*n + 9. Factor t(r).
4*(r - 52)*(r - 1)
Let s be (-1425)/(-95) - (-660)/(-50). Let p be (4/(8/6))/5. Solve 0*q**2 + s*q**3 - 12/5*q**4 + 0 + 0*q + p*q**5 = 0 for q.
0, 1, 3
Let h(m) be the second derivative of -10/3*m**3 + 5/12*m**4 + 15*m - 1 - 25/2*m**2. Factor h(x).
5*(x - 5)*(x + 1)
Solve -61*u**2 + 10*u**4 - 56*u**3 - 19*u**2 - 16*u**2 - 4*u**5 + 26*u**4 = 0 for u.
-1, 0, 4, 6
Let v = -85 - -87. Suppose 9 = -4*j + 5*w - 3, 5*j - v = 2*w. Find b such that 5 + 3 + 12*b + 1 + 2*b**j + 1 = 0.
-5, -1
Let m(c) = 198*c - 2770. Let k be m(14). Solve 44/3*u - 14 - 2/3*u**k = 0.
1, 21
Determine u so that 15*u**3 + 32*u**3 + 31*u**2 - 10*u**3 - 190560 + 190563 - 37*u - 34*u**4 = 0.
-1, 3/34, 1
Let i(x) be the first derivative of -2/11*x**5 + 4*x - 34/33*x**3 - 57/11*x**2 + 57/22*x**4 + 49. Solve i(v) = 0.
-1, 2/5, 1, 11
Let x(z) be the second derivative of z**7/84 + 7*z**6/60 - z**5/40 - 7*z**4/24 - 736*z. Determine c so that x(c) = 0.
-7, -1, 0, 1
Let r = -63 - -78. Let m be r/18*-4*(-768)/40. Solve -114*g**2 - m + 63*g**3 + 89 - 97 - 204*g + 27*g**4 = 0.
-3, -2/3, 2
Let b be (32/(-24)*-6)/(49 - 45). Let -16/7*g - 6*g**3 - 26/7*g**4 + 8/7*g**5 + 76/7*g**b + 0 = 0. Calculate g.
-2, 0, 1/4, 1, 4
Let r(p) be the first derivative of p**6/18 - p**5/5 - p**4/3 + 1160. Suppose r(g) = 0. Calculate g.
-1, 0, 4
Let l(g) be the second derivative of -g**10/6048 - 11*g**9/3024 - g**4/6 + 59*g**2 - 278*g. Let x(i) be the third derivative of l(i). Let x(o) = 0. What is o?
-11, 0
Let z(w) be the second derivative of 3/80*w**5 - 2 + 59*w - 103/12*w**4 + 4761/4*w**2 + 4669/8*w**3. Factor z(x).
(x - 69)**2*(3*x + 2)/4
Let r(q) be the second derivative of 10*q**7/147 - 12*q**6/35 - 11*q**5/35 + 4*q**4/7 + 3076*q. Let r(k) = 0. What is k?
-1, 0, 3/5, 4
Let q = -726 - -43561/60. Let y(v) be the second derivative of 1/24*v**4 - q*v**6 - 10*v - 1/12*v**3 + 0*v**2 + 0 + 1/40*v**5. Factor y(h).
-h*(h - 1)**2*(h + 1)/2
Let q(v) be the third derivative of v**5/150 - 1184*v**4/15 + 5607424*v**3/15 - 223*v**2 + v + 5. Find x such that q(x) = 0.
2368
Let 1/4*t**3 - t - 41 + 41/4*t**2 = 0. Calculate t.
-41, -2, 2
Let r(f) be the third derivative of -f**5/160 - 265*f**4/32 + 531*f**3/16 - 3*f**2 + 37. Solve r(v) = 0 for v.
-531, 1
Let q be 0/1 - 23/(-11040)*15. Let j(d) be the second derivative of 22*d - q*d**4 + 0 + 1/4*d**3 + 0*d**2. Factor j(a).
-3*a*(a - 4)/8
Let w(n) = -n**3 - 11*n**2 - 11*n + 6. Let s be w(-10). Suppose -s*i = -33*i - 20*i. Factor -40/11*v**2 + 20/11*v**3 - 2/11*v**5 + 30/11*v + i*v**4 - 8/11.
-2*(v - 1)**4*(v + 4)/11
What is y in 12/5 - 8/5*y + 1/5*y**2 = 0?
2, 6
Let i be (126/(-15))/6*(13140/315 - 42). Factor i*o**4 + 0 - 8/5*o + 18/5*o**2 - 12/5*o**3.
2*o*(o - 4)*(o - 1)**2/5
Let b(i) be the first derivative of -4/21*i**3 - 4/7*i**2 - 4/7*i - 28. Factor b(s).
-4*(s + 1)**2/7
Let o(s) be the first derivative of s**7/1400 + s**6/200 + 77*s**3/3 - 84. Let v(w) be the third derivative of o(w). Find u such that v(u) = 0.
-3, 0
Suppose -18/11 + 27/11*o + 1/11*o**3 - 10/11*o**2 = 0. What is o?
1, 3, 6
Let f(l) = 4*l**3 - l**2 + l + 1. Let d(x) = -6*x**3 + 75*x**2 + 247*x - 321. Let h(v) = -2*d(v) - 2*f(v). Factor h(z).
4*(z - 40)*(z - 1)*(z + 4)
Let z(a) be the second derivative of a**5/35 + 20*a**4/7 + 664*a**3/21 + 864*a**2/7 - 133*a - 17. Suppose z(x) = 0. Calculate x.
-54, -4, -2
Let r be (-5 + 1 - 3)*8/(-14). Suppose -r = 7*o - 18. Solve -3*l + 6 + 7*l + 7*l**2 + l**2 - 10*l**o = 0 for l.
-1, 3
Suppose 541*m = 308*m. Let d(o) be the second derivative of 1/90*o**6 + 41*o - 4/9*o**3 - 2/3*o**2 + m - 1/12*o**4 + 1/30*o**5. Factor d(s).
(s - 2)*(s + 1)**2*(s + 2)/3
Find c, given that -10*c**3 - 2*c**3 + 60 - 244*c**2 + 27 - 81 + 172*c + 78 = 0.
-21, -1/3, 1
Let b be (-70)/21 + (-273)/(-78). Determine y so that 3/2*y**2 - 2 + 0*y**3 - b*y**4 + 2/3*y = 0.
-2, 1, 3
Let t(w) = 15*w**2 - w + 23. Let y(j) = -7*j**2 + j - 11. Let d(z) = 6*t(z) + 13*y(z). Let f be d(5). Find u, given that 5*u**3 + f*u - 7 + 10*u**2 - 2 + 9 = 0.
-1, 0
Suppose 22806*w + 24 = 22810*w. Let g(l) be the third derivative of 0 + 0*l**4 + 0*l**3 + 0*l - 2*l**2 + 1/450*l**5 - 1/450*l**w. Suppose g(a) = 0. What is a?
0, 1/2
Let r(f) be the second derivative of -f**7/147 - 2*f**6/105 + 18*f**5/35 + 11*f**4/21 - 355*f**3/21 + 300*f**2/7 + 19*f + 71. Solve r(h) = 0.
-5, 1, 3, 4
Suppose 0 = -80*c + 83*c. Let f(w) = c + 7*w**2 + 2 + 12*w + 4 - 4*w. Let s(z) = 6*z**2 + 7*z + 5. Let g(j) = 5*f(j) - 6*s(j). Solve g(t) = 0.
-2, 0
Let f = -6666 + 59995/9. Let s(g) be the third derivative of -9*g**2 + 1/24*g**4 + f*g**3 + 0 + 1/180*g**5 + 0*g. Factor s(z).
(z + 1)*(z + 2)/3
Let j(t) be the first derivative of -2*t**3/3 - 42*t**2 + 86*t + 2442. Determine i, given that j(i) = 0.
-43, 1
Let z = -34379/9 - -3820. Let v(q) be the third derivative of -1/90*q**5 + z*q**4 + 5*q**2 + 5/9*q**3 + 0*q + 0. Factor v(k).
-2*(k - 5)*(k + 1)/3
Let y(t) be the third derivative of 7/6*t**3 + 0 - 5/16*t**4 - 238*t**2 + 1/120*t**5 + 0*t. Suppose y(d) = 0. Calculate d.
1, 14
Let t(j) be the first derivative of 2*j**5/5 + 35*j**4/2 + 346*j**3/3 - 35*j**2 - 348*j + 2288. Let t(q) = 0. Calculate q.
-29, -6, -1, 1
What is w in -2/7*w**2 + 26 - 180/7*w = 0?
-91, 1
Let i(c) = 11*c**2 + 59*c + 140. Let q(f) = 47*f**2 + 238*f + 560. Let v(m) = -9*i(m) + 2*q(m). Factor v(w).
-5*(w + 4)*(w + 7)
Let o be (2 + 0)*(-610)/488*(-16)/180. Find w, given that -4/3 + 2/9*w**4 - 14/9*w**2 - o*w**3 + 26/9*w = 0.
-3, 1, 2
Let l(f) be the third derivative of f**7/630 - 64*f**6/45 + 34511*f**5/90 - 37184*f**4/3 + 337561*f**3/2 - 7451*f**2. Factor l(v).
(v - 249)**2*(v - 7)**2/3
Let s(v) be the third derivative of -v**6/30 + 44*v**5/15 + 871*v**4/6 + 1652*v**3/3 - 7450*v**2. Suppose s(b) = 0. Calculate b.
-14, -1, 59
Let a(f) = 2*f**3 + 11*f**2 - f + 26. Let h be a(17). Let l be h/810 + 5/(-3). Factor -3/5*m**2 + l*m - 432/5.
-3*(m - 12)**2/5
Suppose -2*f + j + 3 = 0, -14*f + j + 6 = -11*f. Suppose -2*g = -f*r - 2, -2*g - 2*g = -5*r - 4. Find v, given that -1/6*v**3 + r - 1/2*v**2 + 0*v = 0.
-3, 0
Determine y so that 1/3*y**2 + 3267 - 66*y = 0.
99
Let q(r) be the third derivative of -r**6/40 - 907*r**5/20 - 25877*r**4 - 306456*r**3 + r**2 - 1922. Solve q(y) = 0.
-452, -3
Let 1/4*s**2 + 51/2*s - 52 = 0. Calculate s.
-104, 2
Suppose 2*u + z - 39 = 0, 17*z = 3*u + 14*z - 63. Let x = -14 + 16. Suppose -75*h**x + 25*h**3 + 20 - 35*h**3 + 32*h**4 - 7*h**4 - u*h =