ive of o(n). Let s(y) = 0. What is y?
-14, -1
Let i(z) be the third derivative of z**6/180 + 1039*z**5/30 + 1079521*z**4/12 + 1121622319*z**3/9 + z**2 - 34*z. Factor i(y).
2*(y + 1039)**3/3
Let a be (28/245)/((-2)/(-35)). Determine b, given that 0*b - 2/9*b**3 + 1/3*b**a + 0 - 1/9*b**4 = 0.
-3, 0, 1
Let v(g) = 5*g**4 + 19*g**3 + 38*g**2 - 123*g - 147. Let x(j) = 4*j**4 + 20*j**3 + 40*j**2 - 122*j - 146. Let s(t) = 2*v(t) - 3*x(t). Factor s(q).
-2*(q - 2)*(q + 1)*(q + 6)**2
Let a(h) = -1492*h**2 - 1308*h - 232. Let n(q) = -497*q**2 - 438*q - 78. Let r(y) = -3*a(y) + 8*n(y). Find v, given that r(v) = 0.
-3/5, -6/25
Suppose 5*a - 16 = -3*a. Let i(v) be the first derivative of 6*v**3 - 22 + a - 7*v**3 - 1 + 12*v. Factor i(t).
-3*(t - 2)*(t + 2)
Let z(l) be the third derivative of 7/24*l**4 + 0*l + 0 + 1/3*l**3 - 1/15*l**5 - 188*l**2. Factor z(h).
-(h - 2)*(4*h + 1)
Suppose -13*d + 30 = -18*d. Let s be (d - -4) + 1*12/1. Factor -2*j**3 + s*j**2 - 24*j**4 + 22*j**4 - 8*j + 2*j.
-2*j*(j - 1)**2*(j + 3)
Let 3/5*n**3 + 0 + 24/5*n**2 + 9*n = 0. What is n?
-5, -3, 0
Let b = -33562 + 570556/17. Suppose -2/17*y**4 + 0*y + 4/17*y**3 - b*y**2 + 0 = 0. What is y?
0, 1
Factor 0*v**5 - 96*v**3 + 2028*v - 15*v**3 - 43*v**3 + 25*v**4 - v**5 + 23*v**3 - 481*v**2.
-v*(v - 13)**2*(v - 3)*(v + 4)
Let g = 193/6 - 32. Let w(k) be the first derivative of -1/12*k**4 + 0*k**3 + 15 + 0*k + g*k**2. Factor w(j).
-j*(j - 1)*(j + 1)/3
Let b(q) be the first derivative of 2*q**3/21 + 302*q**2/7 + 45602*q/7 - 317. What is w in b(w) = 0?
-151
Let t(c) be the third derivative of c**8/1344 + 3*c**7/280 - c**6/96 - 3*c**5/16 + c**4/24 + 3*c**3/2 - c**2 + 2*c + 689. Find s such that t(s) = 0.
-9, -2, -1, 1, 2
Let x = -1746160 - -1746172. Solve 238/5*q**2 + 8/5 + 116/5*q - 29/5*q**3 - x*q**4 = 0 for q.
-2, -2/5, -1/12, 2
Suppose 9*j = -2 + 20. Factor 2*w - 80 + 2*w**3 - 61*w - 5*w - 4*w**2 + j*w**3.
4*(w - 5)*(w + 2)**2
Suppose -4*z + 7 = 3*z. Let p be z/((-6)/4 + 2). Factor 387*a + 4*a**2 + 279 + 44*a**p - 195*a + 4*a**3 - 23.
4*(a + 4)**3
Factor 0 - 1/2*c + 9/2*c**2 + 5*c**3.
c*(c + 1)*(10*c - 1)/2
Suppose 3/5*q**3 + 936/5 + 246/5*q**2 + 948/5*q = 0. What is q?
-78, -2
Let v(n) = -10*n**3 - 25*n**2 + 305*n - 250. Let q(p) = 11*p**3 + 22*p**2 - 305*p + 248. Let c(m) = -5*q(m) - 6*v(m). Suppose c(a) = 0. What is a?
-13, 1, 4
Let c(j) = 20*j**4 + 31*j**3 - 10*j**2 + 22. Let z(y) = 9*y**4 + 15*y**3 - 6*y**2 + 10. Let d(r) = -10*c(r) + 22*z(r). Factor d(a).
-2*a**2*(a - 8)*(a - 2)
Let l(d) be the third derivative of d**11/166320 - d**10/37800 - 7*d**5/10 + 4*d**2 + 2*d. Let u(q) be the third derivative of l(q). Solve u(x) = 0 for x.
0, 2
Let k(z) = -71 + 23 - 2*z**2 + 36 + z**2 - 11*z. Let a be k(-9). Determine j, given that -18*j**2 + 5*j**5 + 16*j**3 + 23*j**3 + 28*j**4 - a*j**3 = 0.
-3, 0, 2/5
Let v(g) be the third derivative of g**2 - 77/36*g**4 + 10 + 37/30*g**5 + 1/20*g**6 + 13/9*g**3 + 0*g. Factor v(u).
2*(u + 13)*(3*u - 1)**2/3
Suppose -29*q - 57 = -48*q. Let j(f) be the third derivative of 0*f - 1/18*f**4 + 1/270*f**5 + 0 + 16*f**2 + 5/27*f**q. Factor j(z).
2*(z - 5)*(z - 1)/9
Let k = 4906/45 + -4891/45. What is z in k*z**2 - 13/3 - 4*z = 0?
-1, 13
Let q = -1296927 + 1296929. Suppose -s**q - 1/6*s**3 - 4/3 - 2*s = 0. What is s?
-2
Let i(a) be the second derivative of -a**8/1680 - a**7/840 + a**6/360 + a**5/120 - 34*a**3 - 102*a - 1. Let b(x) be the second derivative of i(x). Factor b(r).
-r*(r - 1)*(r + 1)**2
Factor 49/8*x**5 - 10*x**3 + 0*x + 0 - 3/2*x**2 - 119/8*x**4.
x**2*(x - 3)*(7*x + 2)**2/8
Let a(t) be the third derivative of t**7/735 - t**6/105 - 11*t**5/210 + 5*t**4/14 + 241*t**2 + 3*t. What is v in a(v) = 0?
-3, 0, 2, 5
Let i(m) be the first derivative of -74 + 1/18*m**3 - 7/6*m**2 + 0*m. Factor i(w).
w*(w - 14)/6
Let n = 15919 - 15915. Let k(x) be the third derivative of 1/480*x**6 + 0*x + 0*x**3 + 1/48*x**n + 0 + 1/80*x**5 - 29*x**2. Factor k(r).
r*(r + 1)*(r + 2)/4
Factor -2/3*k**4 - 98*k - 34/3*k**3 - 182/3*k**2 + 0.
-2*k*(k + 3)*(k + 7)**2/3
Let y = 307340/2765979 - 1/307331. Factor -y*f**2 - 2/3*f - 5/9.
-(f + 1)*(f + 5)/9
Let v be ((-1160)/40 - 2284/(-80))*(-16)/3. Factor 1/2*k + 2/5*k**4 + 0 - v*k**2 + 3/2*k**3.
k*(k - 1)*(k + 5)*(4*k - 1)/10
Suppose -60 = 6*j + 174. Let f be (-4)/j*1*(-18)/(-12). Solve -2/13*k**2 + f*k**3 + 0 + 2/13*k**4 + 0*k - 2/13*k**5 = 0.
-1, 0, 1
Let s be (-720)/60 + 14/1. Let j(l) be the third derivative of 0*l + 1/7*l**4 + 7*l**s + 4/21*l**3 + 1/735*l**7 + 0 + 1/70*l**6 + 13/210*l**5. Factor j(u).
2*(u + 1)**2*(u + 2)**2/7
Determine x, given that 93146919/2*x**2 + 1785/2*x**4 + 353727*x**3 + 0 - 187712319/4*x + 3/4*x**5 = 0.
-397, 0, 1
Find c such that -105*c**3 - 220*c**2 - 55*c**3 - 8960 + 264*c**3 - 2560*c - 109*c**3 = 0.
-28, -8
Let u(v) be the third derivative of -4/7*v**4 + 12/7*v**3 + 3/28*v**6 - 1/14*v**5 - 1/35*v**7 + 0*v + 0 + 1/392*v**8 + 49*v**2. Let u(i) = 0. Calculate i.
-1, 1, 2, 3
Let l be 24/((6/(-32))/(-3)). Let h = l + -372. Find j, given that 0 + 16*j**2 + 16/3*j**3 + h*j = 0.
-3/2, 0
Let v(a) be the second derivative of a**5/10 + 4*a**4/3 - 4*a**3/3 - 32*a**2 + 371*a. Factor v(n).
2*(n - 2)*(n + 2)*(n + 8)
Let r be 18/(-15) - 3374/(-10)*(-522)/(-6699). Factor -r + 282/11*d - 6/11*d**2.
-6*(d - 46)*(d - 1)/11
Let q(g) = -g**3 + 37*g**2 - 94*g - 548. Let r be q(6). Let 5000/3*m + 1300/7*m**2 + 152/21*m**3 + 2/21*m**r + 31250/21 = 0. Calculate m.
-25, -1
Let p(b) be the third derivative of -98/3*b**3 + 0 - 59/120*b**6 + 151*b**2 + 0*b - 11/60*b**5 - 1/336*b**8 + 21/2*b**4 + 1/14*b**7. Solve p(j) = 0.
-2, 1, 2, 7
Let t(o) be the second derivative of o**5/15 + o**4 - 3*o**2 - 9*o. Let p(u) be the first derivative of t(u). Suppose p(m) = 0. What is m?
-6, 0
Let l(o) be the first derivative of o**5 - 115*o**4/2 - 245*o**3/3 + 235*o**2 - 1481. Factor l(x).
5*x*(x - 47)*(x - 1)*(x + 2)
Factor 8*w**4 - 223/2*w**2 + 12*w**3 - 45 + 267/2*w.
(w - 2)*(w + 5)*(4*w - 3)**2/2
Let w(h) be the first derivative of -2/15*h**3 - 1/5*h**2 + 2/5*h + 11 + 1/10*h**4. Factor w(p).
2*(p - 1)**2*(p + 1)/5
Let v be (-1372)/(-20) + -8 + 210/25. Let m be 5/3*3 + v/(-23). Factor -2/11*z**m + 12/11*z + 14/11.
-2*(z - 7)*(z + 1)/11
Let n(p) be the first derivative of -p**4/14 - 8*p**3/7 + 108*p**2/7 - 3341. Determine b so that n(b) = 0.
-18, 0, 6
Suppose 15858 = 2528*j + 18730 - 53432. Determine s so that 25/2*s**2 - 30 - j*s + 5/2*s**3 = 0.
-6, -1, 2
Factor -20500/3 - 5/3*q**3 - 770/3*q**2 + 8075/3*q.
-5*(q - 5)**2*(q + 164)/3
Let x(p) be the first derivative of -p**4/4 - p**3 + 9*p**2/2 + 27*p + 819. Factor x(w).
-(w - 3)*(w + 3)**2
Let m be (-8)/(-30) + 4/14 + (-354412)/(-26355). Let -58/5*d**2 + 0 + 98/5*d**5 - 4/5*d - m*d**4 - 222/5*d**3 = 0. Calculate d.
-1, -1/7, 0, 2
Let g(l) be the first derivative of l**5/4 - 25*l**4/2 + 2185*l**3/12 - 1805*l**2/4 + 1227. Find d such that g(d) = 0.
0, 2, 19
Let u = 1080 + -562. Let c = u - 506. Factor 36*f**3 + 24*f + 0 + 48*f**2 + c*f**4 + 3/2*f**5.
3*f*(f + 2)**4/2
Let a be 1378/171 + 0/99. Let i = 170/19 - a. Find r such that -2*r**3 - 4/3*r**4 - i*r**2 + 0 + 0*r - 2/9*r**5 = 0.
-4, -1, 0
Let d = -10567 - -10570. Let s(b) be the first derivative of 14/55*b**5 + 28/11*b**d + 47/22*b**4 - 128/11*b**2 + 64/11*b + 2. What is m in s(m) = 0?
-4, 2/7, 1
Let z = -22264 - -22264. Determine m so that 2/9*m**3 + 0*m + z + 4/9*m**2 = 0.
-2, 0
Suppose 0 = -447*d - 863 + 1123 + 1081. Factor 0 + 8/13*q - 2/13*q**d - 6/13*q**2.
-2*q*(q - 1)*(q + 4)/13
Let m(n) be the first derivative of -2*n**7/315 + 7*n**6/360 - n**5/90 - n**4/72 + 16*n**2 + 56. Let v(i) be the second derivative of m(i). Solve v(q) = 0.
-1/4, 0, 1
Let -1/2*b + 0 + 43/4*b**2 = 0. What is b?
0, 2/43
Let d(r) be the first derivative of -7/2*r**4 - 1/3*r**6 - 72 + 0*r + 10*r**3 + 0*r**2 - 14/5*r**5. Determine n, given that d(n) = 0.
-5, -3, 0, 1
Let a(c) be the first derivative of c**6/36 - 7*c**5/10 + 45*c**4/8 - 239*c**3/18 - 6*c**2 + 54*c - 338. What is i in a(i) = 0?
-1, 2, 9
Let x(w) be the second derivative of 0 + 39*w - 5/12*w**4 - w**3 + 1/20*w**5 + 0*w**2. Factor x(q).
q*(q - 6)*(q + 1)
Let a(i) = 2*i + 29. Let u(l) = 3*l**3 + 4*l**2 + 3*l + 2. Let w be u(-2). Let j be a(w). Factor 72*y + 424 + 421 - 202*y + j*y**2.
5*(y - 13)**2
Let f(o) be 