1 - 4*m**2 + 8*m + 0*m**f - 169 = 0.
-1, 3
Factor -3*y**3 + 13 - 4047*y**2 + 4053*y**2 - 13.
-3*y**2*(y - 2)
Let c(i) be the second derivative of 2*i**6/135 - 28*i**5/45 + 89*i**4/9 - 1888*i**3/27 + 1408*i**2/9 - 234*i + 4. Find k such that c(k) = 0.
1, 8, 11
Determine g, given that 145/2 + 73*g + 1/2*g**2 = 0.
-145, -1
Let o(f) be the second derivative of -1/30*f**6 + 0*f**3 - 1/15*f**5 + 1/3*f**4 + 0 - 25*f**2 - 27*f. Let n(b) be the first derivative of o(b). Factor n(j).
-4*j*(j - 1)*(j + 2)
Suppose -4*a + 143 - 23 = 0. Suppose -330*x - a = -340*x. Factor 0 - 9/8*i - 3/8*i**x + 15/8*i**2 - 3/8*i**4.
-3*i*(i - 1)**2*(i + 3)/8
Let a(v) be the second derivative of 79*v**4/21 - 472*v**3/21 - 6*v**2/7 + 11*v + 175. Factor a(r).
4*(r - 3)*(79*r + 1)/7
Let x(s) be the first derivative of -51*s**2 - 508*s + 372. Let z be x(-5). Factor -6/13*p**3 + 12/13*p + 0 + 14/13*p**z.
-2*p*(p - 3)*(3*p + 2)/13
Let z(u) be the first derivative of u**6/3 - 26*u**5/5 + 23*u**4 - 8*u**3/3 - 200*u**2 + 448*u + 10483. Let z(y) = 0. Calculate y.
-2, 2, 4, 7
Let w = 460439/828774 + -1/92086. Factor -w*g + 1/9*g**2 + 0.
g*(g - 5)/9
Let u(s) be the first derivative of 18 + 4*s + 3*s**3 - 40*s + 223*s**2 - 229*s**2 - 2*s**3 + 4*s**3. Let u(z) = 0. Calculate z.
-6/5, 2
Let j(b) be the first derivative of b**7/210 - b**6/18 + 4*b**5/15 - 2*b**4/3 - b**3 + 48. Let s(a) be the third derivative of j(a). Find q such that s(q) = 0.
1, 2
Suppose j = -d + 2*j + 3, -5*j - 3 = -2*d. Factor 11*g**5 - 1437*g**2 - 7*g**5 + 76*g**d + 1521*g**2 - 164*g**3.
4*g**2*(g - 1)**2*(g + 21)
Factor 664/5*d + 110224/5 + 1/5*d**2.
(d + 332)**2/5
Let y = 2527 - 1414. Let v = y + -5564/5. Factor g - v*g**3 + 0 - 4/5*g**2.
-g*(g - 1)*(g + 5)/5
Let p(u) be the first derivative of -3*u**5/20 + 57*u**4/16 + 21*u**3/2 + 2137. Determine g, given that p(g) = 0.
-2, 0, 21
Let i(q) be the first derivative of -3*q**5/140 + q**4/14 + 3*q**3/14 - 88*q + 9. Let l(d) be the first derivative of i(d). Factor l(b).
-3*b*(b - 3)*(b + 1)/7
Let t(l) be the third derivative of -l**5/120 + 1013*l**4/24 - 1026169*l**3/12 + 365*l**2 + 7*l. Find g, given that t(g) = 0.
1013
Let r(l) be the third derivative of 0*l + 0*l**3 - 1/672*l**8 - 1/40*l**5 - 2 - 1/12*l**4 + 1/48*l**6 - 16*l**2 + 1/140*l**7. Solve r(g) = 0 for g.
-1, 0, 1, 4
Factor 18*f**2 + 590/11*f - 12/11.
2*(f + 3)*(99*f - 2)/11
Let w = 961/3 - 18253/57. Find m, given that 0 + w*m**4 + 4/19*m - 2/19*m**5 - 10/19*m**2 + 6/19*m**3 = 0.
-2, 0, 1
Let c(y) be the second derivative of 5/3*y**3 + 11/24*y**4 + 0 + 29/2*y**2 + 1/60*y**5 - 35*y. Let p(x) be the first derivative of c(x). Factor p(t).
(t + 1)*(t + 10)
Factor 0 + 5/6*p**4 - 25/6*p**2 - 5/3*p + 5/6*p**5 - 5/2*p**3.
5*p*(p - 2)*(p + 1)**3/6
Let s be 248/155*30/(-4). Let u be (-112)/(-616) - s*(-21)/(-66). Factor 22/13*y**2 - 12/13*y - 12/13*y**3 + 0 + 2/13*y**u.
2*y*(y - 3)*(y - 2)*(y - 1)/13
Let x = 10169 - 10159. Suppose 1 + 7 = v. Factor h**2 + 2*h - x*h + v*h.
h**2
Let r be (3 - (-115)/(-35))*(-259)/444. Let x(l) be the first derivative of -1/9*l**3 + r*l**2 - 15 + 0*l. Suppose x(w) = 0. What is w?
0, 1
Let h be (-20 - ((-14432)/240 - -38)) + (-1 - -1). Determine o, given that -2/15*o**3 - 16/5*o + 6/5*o**2 + h = 0.
1, 4
Let b(i) be the third derivative of 7/180*i**6 - 8/9*i**3 - 1/5*i**5 + 0*i + 55*i**2 + 0 - 1/315*i**7 + 5/9*i**4. Find c, given that b(c) = 0.
1, 2
Suppose 3*y - 4 = 2. Suppose -y*r = 2*r - 2*p - 70, p - 1 = 0. Determine w so that -36*w + 24*w**3 + 3*w**5 + 9*w + 0*w**5 + 0*w**3 + r*w**2 - 18*w**4 = 0.
-1, 0, 1, 3
Let j = -90 + 95. Let h(l) be the first derivative of -4*l**j + 8 - 16*l**4 + 13*l**2 - 15*l**3 + 16*l + 14*l**2 + 13*l**2 + 11*l**3. Let h(u) = 0. What is u?
-2, -1/5, 1
Let g(i) = 1153*i**3 - 5966*i**2 + 1029*i - 51. Let u(b) = 1154*b**3 - 5972*b**2 + 1029*b - 49. Let d(p) = 2*g(p) - 3*u(p). Factor d(c).
-(c - 5)*(34*c - 3)**2
Suppose -34*k - 240 = 100. Let a be ((-12)/(-90))/(k/(-25)). Factor -4/3 - a*s**2 - 4/3*s.
-(s + 2)**2/3
Let p(y) be the third derivative of -y**7/420 - 9*y**6/20 - 53*y**5/60 + 9*y**4/4 + 107*y**3/12 - 2*y**2 - 15. Determine b, given that p(b) = 0.
-107, -1, 1
Let q(i) be the third derivative of -7*i**5/60 + 61*i**4/8 - 2*i**2 - i - 212. Suppose q(u) = 0. What is u?
0, 183/7
Let x(h) be the third derivative of 0*h + 49/4*h**3 - 189/16*h**4 + 43/20*h**5 - h**2 - 85 - 27/28*h**7 + 27/224*h**8 + 81/40*h**6. Find c such that x(c) = 0.
-1, 1/3, 1, 7/3
Factor 462*y + 138*y**2 - 75*y**2 - 207 - 252 - 66*y**2.
-3*(y - 153)*(y - 1)
Let t = -603 - -1209/2. Let p be (-7)/(-2)*512/896. Determine q, given that -t - 63/4*q - 57/4*q**p = 0.
-1, -2/19
Let q(p) = p**3 - 5*p**2 - 3*p - 16. Let y be q(6). Determine r, given that 37 - 31 + 33*r**y + 36*r - 3 = 0.
-1, -1/11
Let u(s) be the second derivative of 15 + 0*s**3 - 1/75*s**5 + 1/225*s**6 + 0*s**2 - 1/30*s**4 + s. Factor u(m).
2*m**2*(m - 3)*(m + 1)/15
Let d be (-140)/22*(7072/182 - 39). Let 2/11*r**3 - d - 14/11*r**2 + 2*r = 0. Calculate r.
1, 5
Let p(y) be the second derivative of -y**7/168 - 197*y**6/120 - 245*y**5/2 - 2401*y**4/12 - 880*y. Factor p(f).
-f**2*(f + 1)*(f + 98)**2/4
Let h = -68676 + 68679. Let -1/2*w + 1/4*w**4 + 0 + 5/4*w**2 - w**h = 0. What is w?
0, 1, 2
Let j be (4/(-22))/(1456/(-2002)). Let m(i) be the second derivative of 0 + j*i**4 - 2/5*i**3 + 31*i + 0*i**2 - 3/100*i**5. Factor m(o).
-3*o*(o - 4)*(o - 1)/5
Let a = -6703/5 + 28172719/21015. Let v = 9803/8406 + a. Let 0 - h - v*h**2 - 1/6*h**3 = 0. What is h?
-6, -1, 0
Suppose 283*q - 264 - 357 + 55 = 0. Solve 794/19*n**q + 72*n + 648/19 + 2/19*n**4 + 4*n**3 = 0.
-18, -1
Let p(s) = -s**2 + 3*s + 4. Let w be p(3). Suppose w*x - 4*k = 8, 6*k = 4*x + 7*k - 8. Factor 193*b**3 - 198*b**3 + 20*b + 0*b**2 - 8 + x*b**2.
-(b - 2)*(b + 2)*(5*b - 2)
Let q = 6326679706/28176729 - 330654/1477. Let a = q + -2/6359. Factor a*s**2 + 10/3*s + 8/3.
2*(s + 1)*(s + 4)/3
Let p(h) be the third derivative of h**6/72 + 11*h**5/12 - 185*h**4/18 - 102*h**2 - 8*h. What is r in p(r) = 0?
-37, 0, 4
Let s(m) = -4*m**2 + m + 2. Let k(d) = -42*d**2 - 966*d + 20. Let i(b) = -2*k(b) + 20*s(b). Factor i(a).
4*a*(a + 488)
Let n(z) be the first derivative of 15*z + 15/2*z**4 - 27/2*z**2 - 9/5*z**5 - 1/2*z**6 - 131 - 2*z**3. Factor n(q).
-3*(q - 1)**3*(q + 1)*(q + 5)
Let k be 9 + (9384/2484)/(8/(-18)). Solve -9 + 11/2*d - k*d**2 = 0 for d.
2, 9
Suppose 2*y - 4*m = 3*y - 7, 5*y = -2*m + 53. Solve y*d - 66*d - 193*d**2 + 9*d + 190*d**2 - 47*d = 0 for d.
-31, 0
Find o such that -15*o**2 + 57/2*o + 3/2*o**3 + 45 = 0.
-1, 5, 6
Let q be 3/21 + 0/2. Let o be ((-1265)/(-231))/23*-57 + 14. Factor o + q*s**2 - 4/7*s.
(s - 3)*(s - 1)/7
Find g such that -6/11*g**4 + 0 + 174/11*g**2 + 0*g - 168/11*g**3 = 0.
-29, 0, 1
Let f(d) be the third derivative of 0*d + 3 + d**2 - 722/21*d**3 - 19/21*d**4 - 1/105*d**5. Let f(s) = 0. What is s?
-19
Let y(h) = 2*h**4 - h**2 - 2. Let k(q) = 25*q**4 - 5*q**3 - 13*q**2 + 20*q - 10. Let c(t) = -2*k(t) + 26*y(t). What is d in c(d) = 0?
-4, -2, -1, 2
Let c(d) be the third derivative of d**8/756 + 2*d**7/35 + 4*d**6/5 + 16*d**5/5 + 2*d**2 + 1087. Let c(y) = 0. Calculate y.
-12, -3, 0
Let n = 199472 + -199470. Factor 2*s + 22/5*s**n - 12/5.
2*(s + 1)*(11*s - 6)/5
Factor 4*g**3 - 68*g**2 + 1112 + 1815*g - 347*g - 84*g**2 - 2432.
4*(g - 22)*(g - 15)*(g - 1)
Determine z, given that -261/5*z**2 + 3/5*z**3 + 1161*z - 5547/5 = 0.
1, 43
Let x(n) be the second derivative of -n**6/1620 + n**5/90 - 55*n**3/3 - n**2/2 - 34*n. Let w(p) be the second derivative of x(p). Factor w(v).
-2*v*(v - 6)/9
Let w(c) = -150*c + 2850. Let p be w(19). Suppose 1 = j - 3. Determine y, given that -3/5*y**2 + p + 3/5*y**j + 3/5*y - 3/5*y**3 = 0.
-1, 0, 1
Let z(p) be the second derivative of 17*p**4/4 - 1379*p**3/2 + 243*p**2 + 1243*p. Solve z(s) = 0 for s.
2/17, 81
Let r(m) be the second derivative of -5*m**4/12 + 105*m**3/2 + 325*m**2 - 2203*m. Solve r(k) = 0.
-2, 65
Let n(m) be the third derivative of -m**7/840 - m**6/40 - 9*m**5/40 - m**4/24 - 4*m**3 - 2*m**2 + 2. Let g(a) be the second derivative of n(a). Solve g(i) = 0.
-3
Let t(n) be the first derivative of 1/18*n**3 + 5/3*n - 35 + 11/12*n**2. Find u, given that t(u) = 0.
-10, -1
Let x(u) be the first derivative of -4 - 5/2*u + 1/12*u**