/60 - 13*d**5/30 + 29*d**4/12 - 5*d**3 - 12*d**2 - 142*d. Let h(f) be the first derivative of g(f). Factor h(b).
-2*(b - 1)**2*(b + 15)
Factor -200/7 - 4/7*v**2 - 108/7*v.
-4*(v + 2)*(v + 25)/7
Factor 100 - f**3 - 205/3*f + 1/3*f**4 - 31*f**2.
(f - 12)*(f - 1)*(f + 5)**2/3
Let d = -1/3427 - -54839/23989. Solve 2/7*t**2 - 4/7*t - d = 0 for t.
-2, 4
Let c(m) be the third derivative of -m**8/420 - 2*m**7/3 + 446*m**6/75 - 1436*m**5/75 + 24*m**4 - 65*m**2. Find a, given that c(a) = 0.
-180, 0, 1, 2
Let o(b) be the first derivative of -2*b**5/15 + 31*b**4 - 728*b**3/3 + 2168*b**2/3 - 960*b - 60. Factor o(z).
-2*(z - 180)*(z - 2)**3/3
Let k(l) be the third derivative of 2*l**7/105 - 212*l**6/5 + 202248*l**5/5 - 21438288*l**4 + 6817375584*l**3 - 2401*l**2. Find c such that k(c) = 0.
318
Factor -3006583 + 1351196 + 5020*f - 1494663 - 2*f**2.
-2*(f - 1255)**2
Let t = 11431/37 - 102731/333. Determine l, given that 4/3*l**2 + t*l**3 + 0 + 8/9*l = 0.
-2, -1, 0
Let 0 - 7/3*c**2 + 1/3*c**3 + 4*c = 0. Calculate c.
0, 3, 4
Let g(v) = 3*v**2 - v - 1. Let y(k) = 14*k**2 - 918*k - 51990. Let c(t) = -6*g(t) + y(t). What is u in c(u) = 0?
-114
Let s(x) = x**3 + 2*x + 2. Let d(b) = -115*b**2 - 705*b - 595. Let t be (5/(-3))/((-165)/(-99)). Let g(w) = t*d(w) + 5*s(w). Factor g(f).
5*(f + 1)*(f + 11)**2
Suppose -849*x + 847*x = -z, -8*z = -x - 30. Let w = -230/333 - -42/37. Determine t so that 2/3*t**3 - 2/3*t - 2/9*t**x - 2/9*t**4 + w = 0.
-1, 1, 2
Factor 1/5*q**3 - 74/5*q**2 + 0 + 0*q.
q**2*(q - 74)/5
Let f(r) be the first derivative of 0*r**3 + 3*r**2 + 17 + 1/270*r**5 + 0*r - 1/108*r**4. Let h(s) be the second derivative of f(s). Factor h(j).
2*j*(j - 1)/9
Suppose -11588*y**2 + 2968*y**3 - 1336*y**2 - 144*y**4 - 15890 + 28958 - 2970*y + 2*y**5 = 0. What is y?
-1, 1, 6, 33
Suppose 58 = 8*u + 2. Factor -u - 6 + 23 + 2*n**2 + 14 + 26*n.
2*(n + 1)*(n + 12)
Let d be (-35)/(-21) + 332/(-228). Let h = 7310 - 7307. Factor -2/19*i**2 + 0*i - 2/19*i**4 + 0 + d*i**h.
-2*i**2*(i - 1)**2/19
Let o(b) be the second derivative of 0 + 2/49*b**7 + 225/28*b**4 + 279/14*b**5 + 0*b**3 + 121/70*b**6 + 0*b**2 + 41*b. Suppose o(k) = 0. What is k?
-15, -1/4, 0
Let m(a) be the third derivative of a**8/1344 - 11*a**6/288 - 3*a**5/16 - 5*a**4/12 - 27*a**3 - 101*a**2. Let o(u) be the first derivative of m(u). Factor o(v).
5*(v - 4)*(v + 1)**2*(v + 2)/4
Let i be (4/(-10) + 1)/(20/(-100)). Let y be 14 - (-1)/(i/(-6)). Factor 11*z + 11*z + 8 + 0 - y*z**2 + 6*z.
-4*(z - 2)*(4*z + 1)
Let g(l) = l**2 + 11*l + 6. Let h be g(-11). Let q(s) = -s**3 + 5*s**2 + 5*s + 9. Let b be q(h). Factor -u**b - u**2 + 9*u**2 - 36 - u**3 + 1231*u - 1225*u.
-2*(u - 3)**2*(u + 2)
Let s(q) = -10*q**2 - 245*q - 495. Let n(a) = 56*a**2 + 1469*a + 2969. Let l(j) = 6*n(j) + 34*s(j). Factor l(v).
-4*(v - 123)*(v + 2)
Let a = 388/5 + -77. Let z = -3316 - -3318. Factor y + 1/5*y**z + a - 1/5*y**3.
-(y - 3)*(y + 1)**2/5
Let k(a) be the second derivative of a**5/120 + 5*a**4/4 + 75*a**3 - 39*a**2 - a + 54. Let r(l) be the first derivative of k(l). Factor r(x).
(x + 30)**2/2
Let g(d) be the first derivative of 11*d**3/15 + 9*d**2/5 - 1682. What is a in g(a) = 0?
-18/11, 0
Determine p so that -51*p - 1329*p**3 + 1333*p**3 - 933 + 197 + 84*p**2 - 165*p = 0.
-23, -2, 4
Let f be (-6)/(-33) + 774/99. Factor 55*i + 95*i**3 - 325*i**2 + f*i**4 + 2*i**4 + 165*i**2.
5*i*(i - 1)*(i + 11)*(2*i - 1)
Solve 111*y + 228*y - 31*y**2 - y**3 - 419*y + 112 = 0.
-28, -4, 1
Let d be ((-3)/20)/(472/(-9440)) - 1. Find w such that 52/9*w + 10/9 + 50/9*w**d + 8/9*w**3 = 0.
-5, -1, -1/4
Let j(g) = g**3 - 22*g**2 - 33*g + 3. Let y(x) = -8*x**3 + 196*x**2 + 296*x - 26. Let s(h) = -26*j(h) - 3*y(h). Solve s(z) = 0 for z.
-5, -3, 0
Let l(t) be the first derivative of 8/19*t - 2/57*t**3 + 3/19*t**2 - 138. Factor l(r).
-2*(r - 4)*(r + 1)/19
Let k = -102 + 80. Let s(f) = -9*f**2 - 67*f + 392. Let h(w) = -w**2 - w. Let t = 104 - 102. Let j(c) = k*h(c) + t*s(c). Factor j(b).
4*(b - 14)**2
Suppose 3*i - w - 10 = 0, 0 = -2*w - w - 3. Let z be (i + 3)/(2 + 0). Determine h, given that -4*h**2 - 18*h + 4*h**4 + 49*h + 4*h**5 - 12*h**z - 23*h = 0.
-2, -1, 0, 1
Let r(b) = -5*b + 17. Let n be 12/10*((-105)/(-6))/7. Let i be r(n). Let -18/5*u**i - 32/5 + 48/5*u + 2/5*u**3 = 0. Calculate u.
1, 4
Let s = 226340 - 679015/3. Factor 170/3*t - s*t**2 - 1445/3.
-5*(t - 17)**2/3
Let j(p) = -4*p**2 + 8*p + 17. Let l be j(-6). Let r be 5/(-30) + l/(-6). Solve -2*g**3 + 23*g**2 - r*g**2 + 8 + 4*g**3 = 0 for g.
-1, 2
Let x(y) be the first derivative of y**4/14 - 480*y**3/7 + 129600*y**2/7 - 2764. Factor x(z).
2*z*(z - 360)**2/7
Let f be (-2)/21 + (-9659)/(-1092). Let z(i) be the first derivative of -f*i**4 - 115/3*i**3 - 2 - 20*i - 50*i**2. Suppose z(q) = 0. What is q?
-2, -1, -2/7
Factor -88/3*o**4 - 8444/9*o**3 + 0 - 8978/9*o + 5896/3*o**2 - 2/9*o**5.
-2*o*(o - 1)**2*(o + 67)**2/9
Let r(u) be the second derivative of -u**6/80 + 63*u**5/160 + 167*u**4/16 - 93*u**3/2 + 2640*u. Let r(g) = 0. Calculate g.
-12, 0, 2, 31
Let t(b) be the first derivative of 5/72*b**4 + 0*b + 24 + 1/180*b**5 + 0*b**3 - 25/2*b**2. Let q(z) be the second derivative of t(z). Factor q(j).
j*(j + 5)/3
Suppose 36 = -3*j - s + 43, 3*j + 4*s - 28 = 0. Let p(o) be the second derivative of j - 5/2*o**2 + 0*o**3 - 14*o + 5/12*o**4. Let p(x) = 0. What is x?
-1, 1
Solve 54/7*t**2 - 48/7*t + 39/7*t**3 + 0 = 0 for t.
-2, 0, 8/13
Let k(z) be the second derivative of -z**4/12 - 35*z**3/3 + 72*z**2 - 690*z. Factor k(g).
-(g - 2)*(g + 72)
Let s = 273 - 271. Let m be 24/(-26)*(5 - (s + 4)). Factor -2/13*z**3 + 0 - 18/13*z + m*z**2.
-2*z*(z - 3)**2/13
Determine p, given that 13 - 1/2*p**2 + 11/2*p = 0.
-2, 13
Suppose 48*z - 244*z = 2*z - 792. Find k, given that 16 + 73/9*k**2 + 1/9*k**z - 14/9*k**3 - 56/3*k = 0.
3, 4
Suppose 18*p + 1127 = -1465. Let o be -15*(6/p*-92 - 4). Suppose 0*m**2 - 5 - o*m**3 + 15/2*m = 0. What is m?
-2, 1
Let u = 31329 + -31326. Find d, given that -1/2*d**2 - 1/4*d**5 + 1/2*d**4 + 0 + 0*d + 1/4*d**u = 0.
-1, 0, 1, 2
Let z(i) = 24*i**2 - 474*i + 951. Let k(r) = -13*r**2 + 237*r - 477. Let t(l) = -9*k(l) - 5*z(l). Find j such that t(j) = 0.
2, 77
Let q = -695673 - -223311241/321. Let l = 2/107 + q. Let 0 + 0*u**4 + 0*u**2 + l*u**3 + 0*u - 2/3*u**5 = 0. What is u?
-1, 0, 1
Let h be (-100)/125*((-75)/2)/3. Let d be (-80)/(-50) - (-4)/h. Solve 21*z - 22*z - 44*z**d - 4*z**3 - 75*z - 36 = 0 for z.
-9, -1
Suppose -6/13*i**2 + 56/13 + 16/13*i**3 - 64/13*i - 2/13*i**4 = 0. What is i?
-2, 1, 2, 7
Suppose -295*j - 345*j + 1920 = 0. Suppose 3/4 - 39/4*u**j + 81/4*u**2 - 45/4*u = 0. Calculate u.
1/13, 1
What is x in -9*x**5 + 3*x**5 - 394*x**4 + 60115937*x - 60115937*x = 0?
-197/3, 0
Let k(j) be the second derivative of -5/3*j**4 - 3 + 0*j**3 + 34*j + 1/5*j**5 + 0*j**2. Factor k(b).
4*b**2*(b - 5)
Factor -54*s - 264 - 7*s**2 + 39*s**2 - 29*s**2.
3*(s - 22)*(s + 4)
Suppose -x - 20 = -5*s, -5*x = 3*s + s - 45. Let o = s + -2. Factor 4*y**2 - 6 - 5*y - o*y - 6*y**2.
-2*(y + 1)*(y + 3)
Let b(g) be the third derivative of -7*g**6/20 - 589*g**5/30 + 48*g**4 - 116*g**3/3 - 39*g**2 + 14. Determine k, given that b(k) = 0.
-29, 2/7, 2/3
Let d(g) = g**2 - 88*g - 101745. Let j be d(-278). Let c(z) = z**3 - z**2 - 2*z + 2. Let m be c(2). Factor m*x + 4/3*x**2 + 0 + 2/9*x**j.
2*x*(x + 3)**2/9
Factor 70 + 40124*k**3 - 40119*k**3 + 30 - 105*k.
5*(k - 4)*(k - 1)*(k + 5)
Let k(o) = 11*o**2 + 42*o + 40. Suppose 0 = 2*x + 15 - 39. Let d = 5 - x. Let l(h) = -24*h**2 - 83*h - 80. Let m(q) = d*k(q) - 3*l(q). Factor m(v).
-5*(v + 1)*(v + 8)
Find x such that -103488 + 612*x**2 - 1680*x + 3/7*x**4 + 219/7*x**3 = 0.
-28, 11
Let r(g) = -3*g + 11. Let s be r(2). Find q such that 3*q**5 - 9*q**5 + q**5 + 11*q**3 + 10*q**s - 46*q**3 - 50*q**2 + 20*q**4 = 0.
-5, -1, 0, 2
Let k(u) be the third derivative of u**6/1800 - 9*u**5/50 + 243*u**4/10 + 151*u**3/6 + u**2 + 144*u. Let n(d) be the first derivative of k(d). Solve n(q) = 0.
54
Let u(y) be the second derivative of 2*y**6/15 - y**5/5 - 52*y**4/3 + 152*y**3/3 + 672*y**2 - 6277*y. What is b in u(b) = 0?
-7, -2, 4, 6
Let j(g) = -14*g - 11*g + 1 - 4*g**2 + 6 - 1 + 6*g. Let o(p) = p**2. Let u(t) = -j(t) + 3*o(t). Determine b so that u(b) = 0.
-3, 2/7
Let y(d) = -d + 10. Let b be y(8). Let u be