 + 380*o**3/3 - 1552*o**2 - 3*o - 498. Factor h(d).
4*(d - 4)*(d + 194)
Let f(u) be the third derivative of u**7/245 - 3*u**6/28 - 48*u**5/35 - 20*u**4/7 - 3364*u**2. Let f(g) = 0. Calculate g.
-4, -1, 0, 20
Let r = -1728 - -57028/33. Let i(w) be the second derivative of 0*w**2 + 0 + 7/110*w**5 - 16/33*w**3 - 17*w + r*w**4 + 1/165*w**6. Factor i(v).
2*v*(v - 1)*(v + 4)**2/11
Let z(h) be the first derivative of -h**5/270 - 2*h**4/27 - 16*h**3/27 + 9*h**2/2 - 5. Let p(x) be the second derivative of z(x). What is i in p(i) = 0?
-4
Let v = -973189 - -6812383/7. Factor 2/7*o**2 + 26/7*o + v.
2*(o + 3)*(o + 10)/7
What is n in -105/11*n**2 - 1/11*n**3 + 1/11*n + 105/11 = 0?
-105, -1, 1
Let p(d) be the first derivative of 5*d**3 + 321*d**2 - 657*d - 8050. Determine i, given that p(i) = 0.
-219/5, 1
Let t be 1/(-1)*9 - -9. Let d(y) be the third derivative of 1/12*y**5 + 5/3*y**3 - 5/8*y**4 + 3*y**2 + t + 0*y. Factor d(a).
5*(a - 2)*(a - 1)
Let l = 1343345 + -14776703/11. Factor -7200/11 - 2/11*q**4 - 118*q**2 - l*q**3 - 5520/11*q.
-2*(q + 3)**2*(q + 20)**2/11
Let a = 556283/370862 - -5/185431. Find o, given that 2*o + 1/2*o**2 + a = 0.
-3, -1
Let z be 4/12 - (-2238)/9. Let k = -247 + z. Factor -1/3*b + 0 + 1/6*b**k.
b*(b - 2)/6
Suppose 2*b + 15*u - 484 = 11*u, 0 = b + 5*u - 236. Suppose -2*h + c - 4 = -9, -3*c + 1 = 2*h. Factor b - 247 + m**h - 2*m**2 - 2*m.
-(m + 1)**2
Suppose 2588*p + 254 + 451 - 932*p**3 - 4*p**4 - 28818*p**2 + 30709*p**2 = 0. Calculate p.
-235, -1/2, 3
Let a(o) be the second derivative of o**4/48 + 65*o**3/12 - 2*o - 7688. What is l in a(l) = 0?
-130, 0
Let r(h) be the third derivative of h**5/12 - 185*h**4/6 + 245*h**3/2 + 9*h**2 - 3*h - 31. Let r(u) = 0. What is u?
1, 147
Let u(f) be the second derivative of 7*f**6/90 + 17*f**5/30 + 5*f**4/3 + 3*f**3 - 7*f + 3. Let s(m) be the second derivative of u(m). Factor s(a).
4*(a + 1)*(7*a + 10)
Suppose o - 5*h + 0 = 14, -14 = -o + 4*h. Let f be (-2)/o + 50*11/154. Factor 4/7*y**3 - f*y**2 + 36/7*y + 0.
4*y*(y - 3)**2/7
Let g(r) be the second derivative of -r**5/70 - 18*r**4/7 - 317*r**3/21 - 30*r**2 - 3*r - 637. Factor g(s).
-2*(s + 1)*(s + 2)*(s + 105)/7
Determine m so that -315*m - 986*m - 318096 - 322*m - 633*m - 4*m**2 = 0.
-282
Determine n, given that -1/5*n**3 - 273*n**2 - 124215*n - 18839275 = 0.
-455
Let c be 12/54 - (-64)/36. Factor c*a + 72 - 10*a + 3*a - 17*a - 3*a**2 - 8*a.
-3*(a - 2)*(a + 12)
Suppose 0*v - 2*v = 4*n - 14, 2*v + n - 8 = 0. Suppose -a - v*a = -8. Factor c + 2*c - 2*c**2 + 0*c**a + 3*c**2.
c*(c + 3)
Suppose -192 - 202540*d**3 - 68*d**2 + 259*d + 405079*d**3 - 202538*d**3 = 0. What is d?
1, 3, 64
Let r(c) = -57*c**2 - 5*c + 15. Let t be r(2). Let d be (-3 + 6 - -2) + t/(-4). Factor 3/4*h**2 + d - 27/2*h.
3*(h - 9)**2/4
Let h(p) = -2*p**2 + 12864*p - 20454404. Let q(d) = -2*d**2 + 12882*d - 20454403. Let i(b) = -5*h(b) + 4*q(b). Determine g so that i(g) = 0.
3198
Factor 0 + 0*g + 40/7*g**2 + 4/7*g**3.
4*g**2*(g + 10)/7
Let k be -8*5/(-5) + -4. Let 93*c + 8*c**2 - 336*c + 27*c - 264*c - k*c**3 + 400 + 76*c**2 = 0. Calculate c.
1, 10
Let f(b) be the second derivative of b**4/78 + 17*b**3/39 - 60*b**2/13 - 1287*b. Factor f(y).
2*(y - 3)*(y + 20)/13
Let q(g) be the second derivative of -26*g**7/147 - 178*g**6/105 + 27*g**5/35 + 89*g**4/21 - 4*g**3/3 + 2*g - 656. Find m such that q(m) = 0.
-7, -1, 0, 2/13, 1
Suppose 25*i**3 + 5*i**4 + 227*i**3 + 512*i - 512*i - 42*i**3 = 0. What is i?
-42, 0
Suppose -4*t + 98 - 115 = -3*s, -5*s + 3*t = -21. Let j(a) be the second derivative of -1/12*a**4 + 0 + 0*a**3 + 0*a**2 - s*a. Factor j(q).
-q**2
Let o be ((-320)/48 - (-1 + -4))*-18. Suppose n = 3*x - 12, -3*n - 2*n + o = 3*x. Suppose -1/2*w - 1/2*w**n + w**2 + 0 = 0. Calculate w.
0, 1
Suppose 124 + 382 = 493*l - 154*l - 86*l. Determine g so that -18/5*g**l - 8/15*g + 24/5 - 2/15*g**4 + 8/5*g**3 = 0.
-1, 2, 9
Let h be (-44)/(-4) - (-205983)/189. Let u = -1100 + h. Suppose 3/7*q**4 + 0 + u*q**3 - 3/7*q**5 + 0*q + 0*q**2 = 0. What is q?
-1, 0, 2
Let k(n) be the second derivative of 0 + 1/6*n**6 + 0*n**2 + 0*n**3 - 107*n + 1/4*n**5 - 5/6*n**4. Factor k(r).
5*r**2*(r - 1)*(r + 2)
Solve 0 + 183/4*r**2 + 105/2*r - 15/2*r**3 - 3/4*r**4 = 0 for r.
-14, -1, 0, 5
Suppose -289*c - 182*c + 2324 = 353*c + 338*c. Suppose -86/7 - 88/7*i - 2/7*i**c = 0. What is i?
-43, -1
Find h, given that -2111 - 1939 + 13*h - 139*h - 75*h - 3*h**2 - 24*h = 0.
-45, -30
Let 362 - 132*y - 215*y - 16*y + y**2 = 0. Calculate y.
1, 362
Let a(i) = -4*i**2 - 4*i + 8. Let v(y) = -y**2 + 1. Let u = -22 + 12. Let z be (-44)/7 - u/35. Let w(d) = z*v(d) + a(d). Factor w(j).
2*(j - 1)**2
Let r(j) = 108*j + 175. Let p be r(-8). Let v be 108/26 + 106/p. Find c, given that -9/7*c**v + 0 - 18/7*c + 30/7*c**3 - 3/7*c**2 = 0.
-2/3, 0, 1, 3
Let h(l) = l - 1. Let s(n) = -8*n**2 - 45*n - 47. Let o(g) = 65*g**2 + 360*g + 375. Let f(p) = 3*o(p) + 25*s(p). Let w(v) = f(v) - 5*h(v). Factor w(t).
-5*(t + 1)*(t + 9)
Suppose 4*h = -3*t + 58, 36 = 5*t + 15*h - 13*h. Factor 3/5*v**t - 3/5*v - 18/5.
3*(v - 3)*(v + 2)/5
Suppose 77*o - 286 = -19*o - 94. Let 3*j - 1/5*j**o + 16/5 = 0. What is j?
-1, 16
Let o(j) be the second derivative of j**6/20 - 23*j**5/40 - 101*j**4/24 - 97*j**3/12 - 11*j**2/2 + 2*j - 123. Find f such that o(f) = 0.
-2, -1, -1/3, 11
Let x(s) be the first derivative of -s**4/5 - 4*s**3/3 + 92*s**2/5 - 32*s + 4853. Find j such that x(j) = 0.
-10, 1, 4
Let h be -2 - 3/(-5 + 5 - 1). Let y(k) = 148*k**2 + 16*k. Let z(b) = 4*b**2 + b. Let s(g) = h*y(g) - 24*z(g). Let s(x) = 0. What is x?
0, 2/13
Let t(o) be the second derivative of -o**7/84 - 11*o**6/60 - 21*o**5/20 - 8*o**4/3 - 8*o**3/3 + 173*o + 9. Find k such that t(k) = 0.
-4, -2, -1, 0
Let b be (-2 - (-9)/3)/11. Let i be (6 - 32/11) + -2. Factor -i*v**2 - 48/11*v - 64/11 - b*v**3.
-(v + 4)**3/11
Let c(d) be the second derivative of d**5/170 - 2*d**4/51 - 131*d**3/51 - 126*d**2/17 + 59*d - 38. Solve c(i) = 0.
-9, -1, 14
Suppose 12*m - 184 - 20 = 0. Let i = 84 + -38. What is n in -n**4 - 11*n - 7*n - i*n - m*n**3 - 42*n**2 + 6*n**3 - 32 = 0?
-4, -2, -1
Let u(j) be the second derivative of -3*j**6/50 - 138*j**5/25 + 469*j**4/30 - 44*j**3/3 + 63*j**2/10 + 2*j + 1866. Determine p, given that u(p) = 0.
-63, 1/3, 1
Factor 60*i + 24*i + 122*i - 12 + 16875*i**3 + 321*i - 17775*i**2 + 385*i.
3*(i - 1)*(75*i - 2)**2
Let c(n) = 74*n**2 + 153*n - 207. Let g be c(-3). Let -16/3*p + 4*p**2 + g + 0*p**3 - 1/3*p**4 = 0. What is p?
-4, 0, 2
Let m(u) = 6*u**2 - 22*u - 72. Let s be m(-3). Suppose 18*t = -6*t + s. Factor -10/3*d + 0 + 2/3*d**t.
2*d*(d - 5)/3
Let o(i) be the first derivative of -i**3/18 - 5*i**2/2 - 209*i/6 - 3600. Factor o(k).
-(k + 11)*(k + 19)/6
Let i(m) = -m**2. Let t(w) = -2*w**3 - 11*w**2 + 2*w + 6. Let x be (-5 - -7)*(-4)/8. Let z(f) = x*t(f) + 5*i(f). Factor z(o).
2*(o - 1)*(o + 1)*(o + 3)
Factor -2*b**2 - b**2 + 147*b + 244 + 0*b**2 + 62.
-3*(b - 51)*(b + 2)
Let a(f) be the third derivative of -1/160*f**6 + 0*f + 3*f**2 - 1/80*f**5 + 1/4*f**4 + 3/2*f**3 + 10. Factor a(v).
-3*(v - 3)*(v + 2)**2/4
Let 5662*p**2 - 2884*p**4 + 1360*p - 560 + 1018*p**2 - 71*p**4 - 225*p**5 + 3200*p**3 = 0. What is p?
-14, -2/3, 1/5, 2
Let d(o) = -5*o**3 + o**2 + 2*o. Let n be d(-1). Suppose r - 13 + n = 0. Factor -2*w**3 + 2*w**2 - w**2 - 7 + r*w + w**3 - 2.
-(w - 3)*(w - 1)*(w + 3)
Suppose 1676*n = 1591*n + 3400. Factor 5/4*t**2 - n*t + 320.
5*(t - 16)**2/4
Let r(o) be the second derivative of 128*o**6/15 + 18288*o**5/5 + 1304161*o**4/3 - 217932*o**3 + 40898*o**2 + 2074*o. Factor r(u).
4*(u + 143)**2*(8*u - 1)**2
Let j(k) be the second derivative of k + 289/12*k**4 + 7 + 9/2*k**2 + 17*k**3. Factor j(s).
(17*s + 3)**2
Let c(n) = n**2 - n + 1. Let g(o) = -36*o - 404. Let s(x) = -4*c(x) - g(x). Let t(a) = 5*a**2 - 40*a - 400. Let v(h) = -6*s(h) - 5*t(h). Factor v(k).
-(k + 20)**2
Let n = 83041/44 + -7547/4. Let f(h) = -h**3 - 3*h**2 - 16. Let g be f(-4). Solve g - 2/11*o**3 - n*o - 8/11*o**2 = 0 for o.
-3, -1, 0
Let p(n) be the first derivative of -62 + n**3 - 72*n - 69/2*n**2. Factor p(o).
3*(o - 24)*(o + 1)
Let r(z) = -7*z**2 - 935*z - 2353. Let s be r(-131). Solve 1/2*c**s - 7/2*c**2 - 1/2*c**3 + 3/2*c**4 + 0*c + 2 = 0.
-2, -1, 1
Let j be (-39330)/(-5130) + 4/(4/9). Solve 0 + j*o**2 - 1