66*n + 409*n + 1 + 0. Let c(h) = 4*f(h) + k(h). Factor c(y).
3*y*(y + 1)*(y + 3)
Let n(v) be the first derivative of -45 + 36/7*v + 1/7*v**3 - 3/2*v**2. Let n(l) = 0. Calculate l.
3, 4
Let w(n) = 2*n**2 - n + 2. Let s be -2*(-11 + 12)/(2/(-2)). Let f(p) = -2*p**3 - 34*p**2 + 6*p - 36. Let x(q) = s*f(q) + 44*w(q). Factor x(h).
-4*(h - 2)**2*(h - 1)
Let c be (-24)/15*(-63 + 10127/164). Let 2*g**c - 4*g + 2/3*g**3 - 16/3 = 0. Calculate g.
-4, -1, 2
Let g(m) = 46*m - 21. Let l be g(1). Factor 10*i**2 + 2*i**2 + 8*i**5 + 3*i**2 + l*i**3 + 5*i**4 - 13*i**5.
-5*i**2*(i - 3)*(i + 1)**2
Suppose 181*t = 177*t + 36. Factor a**3 + 18 - t*a + 10*a**2 - 3*a + 17*a + 15*a + 7*a.
(a + 1)*(a + 3)*(a + 6)
Let j(s) be the third derivative of -s**6/120 + 7*s**5/20 - 3*s**4 - 157*s**3/6 - 3*s**2 + 57. Let q(n) be the first derivative of j(n). Factor q(f).
-3*(f - 12)*(f - 2)
Suppose 8 = -87*m - 30*m + 476. Determine x, given that 34/7*x**3 + 0*x**2 + 8/7*x**m - 8/7 - 34/7*x = 0.
-4, -1, -1/4, 1
Let t(w) be the first derivative of 4*w - 79 + 1/16*w**4 - 7/12*w**3 + w**2. Factor t(r).
(r - 4)**2*(r + 1)/4
Factor 784 + 1/4*w**3 - 63*w - 3*w**2.
(w - 14)**2*(w + 16)/4
Suppose 215*y - 3525 = -327*y - 136*y - 497*y. Determine i, given that 1/4*i**4 - 5/4*i**y + 0 - 3/2*i**2 + 0*i = 0.
-1, 0, 6
Suppose -650*i - 266*i**2 + 620*i**2 - 353*i**2 = 0. Calculate i.
0, 650
Find i, given that -6*i**4 + 544*i**2 + 7*i**4 - 81*i**3 + 362*i**2 + 4275 - 3360*i + 2*i**4 - 15*i**3 = 0.
3, 5, 19
Let -244/3 + 124/3*n**2 + 2/3*n**3 + 118/3*n = 0. Calculate n.
-61, -2, 1
Let h be 192280/24640 + (-5 - (-111)/24). Factor -h - 2/7*x**2 + 30/7*x.
-2*(x - 13)*(x - 2)/7
Let o(l) be the third derivative of -l**5/20 - 1173*l**4/8 + 587*l**3 - l**2 - 649. Factor o(z).
-3*(z - 1)*(z + 1174)
Let u(q) = 15*q**2 - q - 23. Let v(p) = 15*p**2 - 2*p - 20. Let a(d) = -46*d**2 + 7*d + 59. Let f(n) = 2*a(n) + 7*v(n). Let g(o) = 7*f(o) - 6*u(o). Factor g(b).
(b - 2)*(b + 8)
Let j(l) be the third derivative of l**5/20 + 47*l**4/4 + 6*l**2 + l + 36. Factor j(u).
3*u*(u + 94)
Let g(i) = i**2 - 11*i - 38. Let q be g(-3). Suppose -c + 2 = -2*j, -3*c + 3 + 19 = -2*j. Let 2*k + c*k**q + k + 25*k**5 - 3*k = 0. What is k?
-2/5, 0
Let u(m) be the third derivative of -2*m**5/5 - 241*m**4/6 + 410*m**3/3 + 23*m**2 - 53*m. Factor u(w).
-4*(w + 41)*(6*w - 5)
Let x(k) be the first derivative of -k**6/240 - k**5/15 - 5*k**4/48 + 16*k**3 - 39. Let f(d) be the third derivative of x(d). Factor f(v).
-(v + 5)*(3*v + 1)/2
Let x(r) be the second derivative of r**9/75600 - r**7/6300 + r**5/600 + 29*r**4/12 - 4*r + 6. Let g(l) be the third derivative of x(l). Factor g(s).
(s - 1)**2*(s + 1)**2/5
Let m = -116084 - -348280/3. Solve 0 + m*r - 4/3*r**2 = 0.
0, 7
Let p(c) = -5*c**2 - 72*c - 34. Let k(x) = 0*x**2 + 7 + 2*x**2 - 1362*x + 1376*x - x**2. Let v(g) = -22*k(g) - 4*p(g). Let v(n) = 0. What is n?
-9, -1
Let k(p) be the third derivative of 0 - 18*p**2 + 1/360*p**6 - 12167/18*p**3 + 0*p - 23/60*p**5 + 529/24*p**4. Suppose k(x) = 0. Calculate x.
23
Let n = 1989 - 1982. Let i(a) be the second derivative of -1/40*a**5 + 1/36*a**4 + 0*a**6 + 0*a**3 + 0 + 0*a**2 + 19*a + 1/252*a**n. Factor i(r).
r**2*(r - 1)**2*(r + 2)/6
Factor 237/2*i - 5*i**2 + 36.
-(i - 24)*(10*i + 3)/2
Solve -7*q**4 + 5*q**4 + 8*q**3 - 95 - 44*q + 20 + 14*q**2 + 7 + 20 = 0.
-2, -1, 3, 4
Let y(c) be the second derivative of -1/2*c**3 + 50*c + 0 - 1/4*c**4 + 0*c**2. Factor y(m).
-3*m*(m + 1)
Suppose 0*q - 5 = -5*q, -3*f = 2*q - 707. Factor 34*s**2 - 55*s**3 + f*s - 5*s**4 - 209*s**2 - 360*s.
-5*s*(s + 1)*(s + 5)**2
Suppose 80 = 134*c - 118*c. Suppose -2*h + 16 = -c*m + 5, 2*h - m = 7. Determine x, given that 46/11*x**h + 20/11*x**4 + 0 + 24/11*x**2 + 0*x - 2/11*x**5 = 0.
-1, 0, 12
Let -2*p**2 + 8*p**2 - 2*p**2 - 10*p**2 + 2*p**5 + 36 - 24*p**3 + 2*p**2 + 54*p = 0. Calculate p.
-3, -1, 2, 3
Let a(f) = 62*f**3 + 8*f + 4 - 27*f - 61*f**3 + 2*f**2. Let d(l) = -4*l**3 - 10*l**2 + 76*l - 18. Let q(w) = 22*a(w) + 6*d(w). Factor q(n).
-2*(n - 1)**2*(n + 10)
Let a be (13 - (-21 + 40))/(-3). Let v(b) be the first derivative of 2/5*b + 3/10*b**a + 29 - 1/25*b**5 - 3/20*b**4 - 1/15*b**3. Factor v(o).
-(o - 1)*(o + 1)**2*(o + 2)/5
Let f(s) = -4*s**4 + 16*s**3 + 88*s**2 - 226*s - 864. Let k(g) = -4*g**4 + 16*g**3 + 84*g**2 - 228*g - 864. Let o(c) = -6*f(c) + 5*k(c). Factor o(w).
4*(w - 6)*(w - 4)*(w + 3)**2
Let n(a) be the second derivative of a**6/90 - 89*a**5/60 + 703*a**4/12 - 5719*a**3/18 + 1849*a**2/3 + 317*a - 5. Determine g so that n(g) = 0.
1, 2, 43
Let d(b) be the third derivative of -b**7/525 - b**6/75 + 8*b**5/75 + 4*b**4/15 - 16*b**3/5 - 9*b**2 + 3. Determine a, given that d(a) = 0.
-6, -2, 2
Let r(d) be the third derivative of -d**7/63 - 4*d**6/15 - 4*d**5/3 - 16*d**4/9 + 16*d**3/3 + 2601*d**2. Determine u so that r(u) = 0.
-6, -2, 2/5
Let g = 39 + 4. Suppose 2*q - 51 = -g. Factor 3*k**q + 108*k**2 - 201*k**3 + 54*k**4 + 75*k**3 - 9*k**5 - 24*k.
-3*k*(k - 2)**3*(3*k - 1)
Find y, given that -138*y**2 + 39*y + 141*y**2 + 123 - 813 = 0.
-23, 10
Find d, given that -40 + 258/11*d**2 - 152/11*d - 32/11*d**3 - 2/11*d**4 = 0.
-22, -1, 2, 5
Determine z, given that 53016 - 6674*z + 14*z**2 - 25755*z**3 + 198*z**2 + 25753*z**3 = 0.
12, 47
Let h be (-182)/(-56) + (11 - (-1326)/(-120)). Factor 4*d - 4/5*d**2 - h.
-4*(d - 4)*(d - 1)/5
Let w(f) be the second derivative of -f**4/24 + 5*f**3/4 - 11*f**2 + 91*f + 3. Factor w(y).
-(y - 11)*(y - 4)/2
Factor -4*c**4 + c**2 - 9*c**3 + 81 - 81 - 15*c**3 + 3*c**2 + 24*c.
-4*c*(c - 1)*(c + 1)*(c + 6)
Let n be 2*-1 + 6 + -4. Suppose -11*j - 78 + 100 = 0. Let 0 - 2/3*c**4 + n*c + 0*c**j - 2/3*c**3 = 0. What is c?
-1, 0
Let j(v) be the first derivative of -5*v**4/4 + 5105*v**3/3 - 652800*v**2 + 1300500*v + 2468. Find m such that j(m) = 0.
1, 510
Let z = 70066 - 490454/7. Factor -2/7*v**5 + 0 - 2/7*v - 12/7*v**3 + 8/7*v**2 + z*v**4.
-2*v*(v - 1)**4/7
Let o = 1346083/21 + -64099. Find t such that 0 - o*t**2 + 2/21*t**5 - 8/21*t**4 + 10/21*t**3 + 0*t = 0.
0, 1, 2
Suppose -293 = -5*y + 1222. Factor -12*u - y + 297 + 5*u**2 - u.
(u - 3)*(5*u + 2)
Let f(b) be the third derivative of 3/2*b**3 + 0*b + 0 - 1/20*b**5 - 1/80*b**6 + 228*b**2 + 5/16*b**4. Solve f(g) = 0 for g.
-3, -1, 2
Let v = 63127/10 - 6307. Let t = v - 161/30. Let -2/3 + t*c**4 + 1/3*c**3 - c**2 - 5/3*c = 0. Calculate c.
-1, 2
Let i(j) be the third derivative of 8/21*j**3 + 0*j + 0 - 1/420*j**5 + 16*j**2 + 1/28*j**4. Find z such that i(z) = 0.
-2, 8
Let f(h) be the third derivative of -1/840*h**7 - 1/160*h**6 + 0*h + 1/12*h**3 + 1/32*h**4 - 1/240*h**5 - 101*h**2 + 0. Factor f(z).
-(z - 1)*(z + 1)**2*(z + 2)/4
Let v(y) be the second derivative of 25*y**5/12 - 1325*y**4/12 + 14045*y**3/6 - 148877*y**2/6 + 883*y. Suppose v(a) = 0. Calculate a.
53/5
Let b(u) be the first derivative of u**3/15 + 478*u**2/5 + 228484*u/5 + 520. Factor b(g).
(g + 478)**2/5
Let m be 15/30 + ((-16)/96)/((-2)/(-6)). Let q(v) be the second derivative of m - 29*v - 1/60*v**5 + 19/36*v**4 + 27/2*v**2 - 11/2*v**3. Factor q(s).
-(s - 9)**2*(s - 1)/3
Let w(u) be the second derivative of u**5/130 + 73*u**4/78 + 11*u**3/3 + 71*u**2/13 + 13*u - 179. Factor w(m).
2*(m + 1)**2*(m + 71)/13
Let y(f) = f**2 + 17 - 45 + 27 - 2*f. Let j(u) = 3*u**2 - 2*u - 5. Let v(r) = -3*j(r) + 6*y(r). Factor v(m).
-3*(m - 1)*(m + 3)
Let c(d) = -6*d**2 + 9*d + 2 + 24*d + 3*d + 0*d. Let t be c(6). Factor 4/15*f + 0 + 0*f**3 + 2/5*f**t - 2/15*f**4.
-2*f*(f - 2)*(f + 1)**2/15
Find x such that -15/4*x + 3/4*x**5 - 21/2*x**3 - 99/8*x**2 - 9/8*x**4 + 0 = 0.
-2, -1, -1/2, 0, 5
Let k(h) = 3*h**4 + 71*h**3 + 199*h**2 + 177*h + 42. Let r(g) = -g**3 - g - 1. Let o(v) = -5*k(v) - 20*r(v). Solve o(d) = 0 for d.
-19, -2, -1, -1/3
Let f(p) be the third derivative of -p**5/20 - 29*p**4/8 + 66*p**3 + 829*p**2. Factor f(g).
-3*(g - 4)*(g + 33)
Factor -100*m - 49 + 195*m - 2304*m**2 + 577*m.
-(48*m - 7)**2
Let -2*p - 6/5*p**3 + 18/5*p**2 - 2/5*p**4 + 0 = 0. What is p?
-5, 0, 1
Suppose -9*v + 29 + 7 = 0. Factor -45*x**3 + 13*x**3 + v*x**4 - 30*x**3 + 528*x**2 - 18*x**3 + 1024 - 1280*x.
4*(x - 8)**2*(x - 2)**2
Factor -118/13*d**2 + 112/13*d + 232/13 + 2/13*d**3.
2*(d - 58)*(d - 2)*(d + 1)/13
Let l(r) = r**3 + 16*r**2 + 63*r - 4. Let y be l(-8). Solve -78*x**3 - 