n**2 + 3*n**4 + 5*n**2.
3*n**2*(n - 1)*(n + 1)**2
Let c(i) be the third derivative of 0 - 2/3*i**4 + 3*i**2 + 1/15*i**5 - 8*i**3 + 21*i. Factor c(d).
4*(d - 6)*(d + 2)
Let y be (-35)/(-14)*((-4275)/125 - -35). Determine m, given that 5618/3 + 212/3*m + 2/3*m**y = 0.
-53
Let s(q) be the first derivative of 2*q**6/15 + 2*q**5/5 - 8*q**4/3 - 12*q**3 - 18*q**2 + 85*q - 36. Let f(l) be the first derivative of s(l). Factor f(u).
4*(u - 3)*(u + 1)**2*(u + 3)
Let w(r) = 17*r**2 - 448*r + 132. Let b(m) = -2*m**2 - m. Let n(p) = 12*b(p) + w(p). Suppose n(i) = 0. What is i?
-66, 2/7
Let p(u) be the second derivative of -u**6/90 - 2*u**5/15 - 23*u**4/36 - 14*u**3/9 - 2*u**2 + 128*u. Factor p(s).
-(s + 1)*(s + 2)**2*(s + 3)/3
Let j(r) be the first derivative of 0*r**3 + 0*r - 1/36*r**4 - 1/180*r**6 - 1/45*r**5 - 17/2*r**2 - 3. Let o(b) be the second derivative of j(b). Factor o(t).
-2*t*(t + 1)**2/3
Let f(i) = -4 + 2*i + 15*i**3 - i - 14*i**3 - 4*i**2 + 2. Let j be f(4). Let -4*w**5 + 41*w**4 + 0*w**3 + 4*w**j + 4*w**3 - 45*w**4 = 0. What is w?
-1, 0, 1
Let w = 139 - 136. Suppose -w*l - 6*l = -0*l. Factor 8/7*o**4 + 6/7*o**3 + l*o - 2/7*o**2 + 0.
2*o**2*(o + 1)*(4*o - 1)/7
Let s be (56024/(-56) - -14) + 3/1. Let j = -980 - s. Factor 18/7*x**4 + j*x**2 - 36/7*x**3 + 0 - 3/7*x**5 + 0*x.
-3*x**2*(x - 2)**3/7
Suppose -5*r - 10*d + 7*d + 7609 = 0, -3*r - 2*d = -4566. Factor 4*o**4 - 1548*o**3 + 16*o - 52*o + r*o**3 + 60*o**2.
4*o*(o - 3)**2*(o - 1)
Let i = -139806 - -2097094/15. Factor -2/3*g - 2/5*g**2 + i.
-2*(g + 2)*(3*g - 1)/15
Let h(t) = -t**3 + 2*t**2. Let o be h(0). Let m = 199/20 + -35/4. Let o + m*w - 2/5*w**2 = 0. Calculate w.
0, 3
Let f be 5/(-3)*(-41 + 91/(-7)). Let v be 396/f + (0 - 4). Factor -2/5*c**4 - 4/5*c**3 - 2/5 + 2/5*c + 4/5*c**2 + v*c**5.
2*(c - 1)**3*(c + 1)**2/5
Let x(v) = -5*v - 13. Let w(r) = 6*r + 17. Let z(h) = 6*w(h) + 7*x(h). Let c be z(-9). Let 1/4*a**5 + 0 + 3*a**2 - 1/2*a**3 - 3/4*a**4 - c*a = 0. What is a?
-2, 0, 1, 2
Let r(c) = 3*c**3 - 756*c**2 + 3095*c + 413. Let v(x) = -2*x**3 + 378*x**2 - 1548*x - 236. Let f(n) = 4*r(n) + 7*v(n). Factor f(g).
-2*g*(g - 4)*(g + 193)
Let 396*u + 640 + 330*u + 83 - 28*u**2 + 31*u**2 = 0. What is u?
-241, -1
Let h(t) be the second derivative of t**6/45 - t**5/2 + 25*t**4/18 + 5*t**3/3 - 26*t**2/3 + 6323*t. Find w, given that h(w) = 0.
-1, 1, 2, 13
Suppose -21 = -3*g - 4*m, -2*g = -28*m + 29*m - 9. Let h(u) be the first derivative of -1/5*u**2 - 1/15*u**g - 34 + 3/5*u. Let h(p) = 0. Calculate p.
-3, 1
Determine h, given that -2565 - 3*h**2 + 2947*h - 2*h**2 - 6027*h + 2850*h = 0.
-27, -19
Suppose -10*i + 24 = -2*t, 13*i + 3*t - 20 = 14*i. What is p in -4/9 - 110/3*p**2 + 322/9*p**3 + 118/9*p - 106/9*p**i = 0?
2/53, 1
Factor -z**2 + 8 + 1/3*z**3 - 22/3*z.
(z - 6)*(z - 1)*(z + 4)/3
Suppose 6*u = 4*u + 8. Suppose -u*g = 4*s + 8, -2*s + g = -s - 8. Solve -4*d**4 - 2*d**3 - 3*d**s - 11*d**4 - 15*d**4 = 0 for d.
-1/6, 0
Let f(b) be the third derivative of -1/40*b**4 - 1/200*b**6 + 0 - 1/35*b**8 + 0*b**3 + 12/175*b**7 + 3*b - 9*b**2 - 3/50*b**5. Factor f(t).
-3*t*(t - 1)**2*(4*t + 1)**2/5
Suppose z + 4*y - 3 = -0*z, 0 = -3*y. Suppose -s + t = -0*s + z, 3*s - 2*t + 6 = 0. Factor -j**2 - 5*j - 2*j**2 - 2*j**2 + s*j**2 + 10.
-5*(j - 1)*(j + 2)
Let v(k) be the second derivative of -k**5/5 + 29*k**4 + 536*k**3/3 + 360*k**2 + 1330*k. Let v(i) = 0. What is i?
-2, -1, 90
Let j(p) = -155*p**2 + 4045*p + 5880. Let z(l) = -11*l**2 + 287*l + 420. Let q(u) = -6*j(u) + 85*z(u). Let q(c) = 0. What is c?
-3, 28
Let i(f) be the first derivative of f**8/840 + f**7/140 - f**6/180 - f**5/20 - 83*f**3/3 - 90. Let b(x) be the third derivative of i(x). Factor b(d).
2*d*(d - 1)*(d + 1)*(d + 3)
Suppose 9*y - 101 + 83 = 0. Let c(u) be the first derivative of -16*u**2 + y*u**3 + 8/5*u**5 + 13/2*u**4 - 13 - 8*u. Factor c(q).
2*(q - 1)*(q + 2)**2*(4*q + 1)
Let l(o) = -10*o**2 - 1230*o + 1180. Let w(t) = 9*t**2 + 1229*t - 1190. Let k(r) = 4*l(r) + 5*w(r). Let k(b) = 0. What is b?
-246, 1
Suppose 3*i - 5 = -r, 2*r - 6 - 4 = -5*i. Let p(n) = -n + 5. Let t be p(r). Factor 4*k**3 + 6*k - 6*k**2 + t*k**3 - 2*k**3 - 2.
2*(k - 1)**3
Let j(k) = -k**3 + 4*k**2 + 12*k - 10. Let v be j(4). Suppose -6*z**4 + v*z - 14*z + 3*z**4 + 14*z**2 - 2*z**2 - 6*z**3 = 0. Calculate z.
-2, 0, 2
Let c be ((-159)/(-371))/((-30)/(-8)). Let y(n) be the first derivative of 2/7*n**2 - c*n**5 + 2/7*n**3 + 0*n + 10 - 3/14*n**4. Suppose y(d) = 0. Calculate d.
-2, -1/2, 0, 1
Let k = -586/69 + 622/69. Suppose -2/23*p**2 - k + 14/23*p = 0. Calculate p.
1, 6
Let d(j) be the third derivative of -j**5/60 + j**3/6 - j**2 + 5. Let v(c) = -2*c**2 + 7*c - 5. Let h(q) = -d(q) + v(q). What is a in h(a) = 0?
1, 6
Let y(x) be the third derivative of 0*x + 0 - 35/24*x**4 - 1/120*x**6 - 19/60*x**5 - 17/6*x**3 - 90*x**2. Factor y(s).
-(s + 1)**2*(s + 17)
Let x(m) be the third derivative of m**7/490 - 9*m**6/280 + 3*m**5/140 + 37*m**4/56 + 12*m**3/7 - m**2 + 26. Factor x(s).
3*(s - 8)*(s - 3)*(s + 1)**2/7
Let m(a) be the first derivative of 8*a**6/3 + 388*a**5/5 + 792*a**4 + 11008*a**3/3 + 7424*a**2 + 3072*a - 5899. Solve m(r) = 0.
-12, -4, -1/4
Let o be -9 + 36*12/48. Let q(j) be the second derivative of -1/2*j**2 - 15*j + o - 1/4*j**3 - 1/160*j**5 - 1/16*j**4. Determine b, given that q(b) = 0.
-2
Let z(g) = 26*g**3 + 1564*g**2 + 3320*g + 550. Let d(o) = -184*o**3 - 10947*o**2 - 23240*o - 3849. Let s(v) = 2*d(v) + 15*z(v). Factor s(i).
2*(i + 2)*(i + 69)*(11*i + 2)
Let d be (-16)/200*18025/15. Let i = d + 484/5. Factor -i - 4*u - 8/3*u**3 - 6*u**2.
-2*(u + 1)**2*(4*u + 1)/3
Let k(l) be the second derivative of -18*l + 1/21*l**4 + 0*l**3 + 2/105*l**6 + 2/35*l**5 + 0 + 0*l**2. Factor k(h).
4*h**2*(h + 1)**2/7
Factor 1/8*g**2 + 0 - 15/2*g.
g*(g - 60)/8
Let w be 850/252 - (-2 - (-5)/1). Let f = w - 11/42. Factor f*z**2 - 1/9*z + 0.
z*(z - 1)/9
Let t(n) be the first derivative of -15*n**4/4 + 7*n**3 + 87*n**2/2 + 51*n - 42. Find b, given that t(b) = 0.
-1, 17/5
Let s(r) = 7*r**3 - 99*r**2 - 187*r - 84. Let q(p) = 2*p**3 - 2*p**2 + p - 28. Let d(o) = 12*q(o) - 4*s(o). Factor d(f).
-4*f*(f - 95)*(f + 2)
Factor -162/13*b**2 - 166/13 + 2/13*b**3 - 330/13*b.
2*(b - 83)*(b + 1)**2/13
Let y(c) = -17*c**3 - 4*c**2 + 75*c - 18. Let z(q) = -q**4 + q**2. Let w(a) = 5*y(a) - 20*z(a). Suppose w(h) = 0. Calculate h.
-2, 1/4, 3
Let p(c) be the first derivative of -4*c**3/9 + 868*c**2/3 - 1732*c/3 - 1503. Factor p(u).
-4*(u - 433)*(u - 1)/3
Let y be (6*-2)/((-72)/162). Suppose -30 = -u - y. Let -8/13*i**2 + 0 + 8/13*i**u - 2/13*i**4 + 0*i = 0. Calculate i.
0, 2
Let o(w) = -w**2 + w - 2. Let v(s) = 2*s**2 - 5*s + 5. Let t(b) = 3*o(b) + v(b). Let k(d) = -6*d**2 - 28*d - 6. Let m(y) = -k(y) + 10*t(y). Factor m(l).
-4*(l - 1)**2
Let u = -28 + 32. Suppose u*f - 61 = -q + 4*q, 1 = f + 4*q. Find a, given that 37*a + 24 + 4 - 4*a**2 - f*a = 0.
-1, 7
Let c = 95957176720163/15795 + -6075161555. Let n = 1/3159 - c. Factor 2/5*b + 0 + 7/5*b**5 + 27/5*b**3 + 23/5*b**4 + n*b**2.
b*(b + 1)**3*(7*b + 2)/5
Let s(w) be the third derivative of w**5/35 + w**4/12 - 68*w**3/21 - 3*w**2 - 914. Determine m so that s(m) = 0.
-4, 17/6
Determine f so that 2*f**3 + 52 + 170/3*f - 92/3*f**2 = 0.
-2/3, 3, 13
Let j(a) = -1 - 2*a**2 - 393*a + 788*a - a**4 + a**3 - 394*a. Let k(g) = g**4 + 3*g**3 - 78*g**2 - 125*g - 63. Let y(b) = 3*j(b) - k(b). Factor y(d).
-4*(d - 5)*(d + 1)**2*(d + 3)
Factor -3/2*h**3 - 45/4*h**2 - 81/4*h - 15/2.
-3*(h + 2)*(h + 5)*(2*h + 1)/4
Let i be 30/(-24) - 532/(-240). Let r = 37/10 + i. Suppose -10/3*f**4 - 4/3*f + 0 - 2/3*f**5 - r*f**2 - 6*f**3 = 0. What is f?
-2, -1, 0
Let w = -621 + 913. Let n be 3 + 48/8 + -6. Factor -n + w + 54*o + 387 + 4*o**2 - 158*o.
4*(o - 13)**2
Let u(c) be the first derivative of -3*c**4/4 + 19*c**3 - 24*c**2 - 108*c - 63. Factor u(d).
-3*(d - 18)*(d - 2)*(d + 1)
Let f = -9307 + 9307. Factor -1/5*g**2 + 12/5*g + f.
-g*(g - 12)/5
Factor -215 - 148 + 2*o**2 + 38 + 56*o - 83.
2*(o - 6)*(o + 34)
Let n(h) be the third derivative of h**6/10 + 29*h**5/20 + 7*h**4/8 - 1429*h**2. Determine z, given that n(z) = 0.
-7, -1/4, 0
Let r = 17 - -42. Let v = -57 + r. Factor v*c**3 + 2*c**4 - 2*c**2 - 43 + 43 - 2*c**5.
-2*c**2*(c - 1)**2*(c + 1)
Let v(w) be the third derivative of w**5/60 - 