3 - 1/12*d**4 - 1/15*d**5 - 1/54*d**r + 0*d**2 + 3. Factor o(m).
-m**2*(m + 1)**3/9
Let t(d) = 10*d**2 + 398*d. Let o(u) = 27*u**2 + 1186*u. Let l(h) = -4*o(h) + 11*t(h). Find k such that l(k) = 0.
0, 183
Suppose 3*z - 6*z = 7*z. Suppose -24 + 4 = -2*f - o, 5*o - 10 = z. Factor -4*n**4 + 9*n - f*n - 4*n**3.
-4*n**3*(n + 1)
Let o(s) = 21*s**3 - 108*s**2 + 75*s - 6. Suppose -35 = -3*a - 17. Let m(l) = 64*l**3 - 327*l**2 + 225*l - 19. Let z(r) = a*m(r) - 17*o(r). Factor z(t).
3*(t - 4)*(3*t - 1)**2
Suppose 32*f - 3 = 35*f + 3*d, -3*d - 23 = -2*f. Let -6*h**f + 37*h**4 + 12*h - 34*h**4 - 9*h**3 = 0. Calculate h.
-2, 0, 1
Factor 40/3*p + 32/3 + 17/6*p**2 + 1/6*p**3.
(p + 1)*(p + 8)**2/6
Let q(m) be the first derivative of 17/20*m**2 + 52 + 1/30*m**3 + 8/5*m. Factor q(s).
(s + 1)*(s + 16)/10
Let y(f) be the first derivative of f**3/18 + 263*f**2/6 + 69169*f/6 + 403. Factor y(w).
(w + 263)**2/6
Let v(f) be the second derivative of f**4/42 - 124*f**3/3 + 867*f**2/7 - 15*f - 229. Let v(q) = 0. Calculate q.
1, 867
Let r(a) be the third derivative of -a**7/735 + 2*a**6/105 - 19*a**5/210 + a**4/7 - 4*a**2 - 18*a + 2. Factor r(d).
-2*d*(d - 4)*(d - 3)*(d - 1)/7
Let s = 5696/17133 + 5/5711. Let s*y - 2/3 + 1/3*y**2 = 0. Calculate y.
-2, 1
Let v(w) = -2*w**2 + 10*w + 10. Let l be v(6). Let y be ((-164)/42 + (-30)/315)/l. Factor 8/7 + 4/7*s - 4/7*s**y.
-4*(s - 2)*(s + 1)/7
Let 10/7*q + 2/7*q**4 - 10/7*q**3 + 48/7 - 50/7*q**2 = 0. Calculate q.
-3, -1, 1, 8
Let w = 421 + -76. Let i be 21/180 - (-46)/w. Factor 0 - i*v**3 + 1/2*v + 1/4*v**2.
-v*(v - 2)*(v + 1)/4
Solve -90/7*w**2 - 16 - 2524/7*w = 0 for w.
-28, -2/45
Let k(z) be the first derivative of -z**4/4 + 10*z**3 - 88*z**2 + 299. Determine a, given that k(a) = 0.
0, 8, 22
Let a(r) be the second derivative of 37*r - 20*r**4 + 3*r**5 + 160/3*r**3 + 0*r**2 + 0 - 1/6*r**6. Factor a(h).
-5*h*(h - 4)**3
Let o(s) = -s**3 - 29*s**2 - 30*s - 2. Let q be o(-28). Let u = -161/3 + q. Factor -1/3*d**5 + 2/3*d**3 + 1/3 - 2/3*d**2 + 1/3*d**4 - u*d.
-(d - 1)**3*(d + 1)**2/3
Suppose 2*t = 9 - 15, 4*x = 2*t + 6. Let h(m) be the first derivative of 5/6*m**4 - 17 + 0*m + x*m**2 + 1/3*m**5 + 5/9*m**3. Factor h(k).
5*k**2*(k + 1)**2/3
Let s(x) = 1271*x**2 - 1271*x. Let z be s(1). Solve -3/4*r**2 + z*r**4 + 0*r - 9/8*r**3 + 0 + 3/8*r**5 = 0.
-1, 0, 2
Find a, given that -4*a**2 - 1329*a - 308 - 2566 + 7*a**2 + 204 = 0.
-2, 445
Let a(c) = c**2 - 4*c - 16. Let x be a(-3). Suppose 0 = x*z - 2*r - 2*r + 5, -2*z + 26 = 4*r. Let -8/11*u + 0*u**2 - 2/11*u**4 + 0 + 6/11*u**z = 0. What is u?
-1, 0, 2
Let t(n) be the third derivative of 1/840*n**6 + 10/21*n**3 + 1/420*n**5 + 129 - 2/21*n**4 + 0*n - n**2. Factor t(y).
(y - 2)**2*(y + 5)/7
Let a(v) be the first derivative of -v**4 - 56*v**3/3 - 130*v**2 - 400*v - 2146. Factor a(o).
-4*(o + 4)*(o + 5)**2
Let z = -965 - -1105. Suppose 39 = z*i - 127*i. Solve -8/3 - 4/3*c**4 + 28/3*c - 12*c**2 + 20/3*c**i = 0.
1, 2
Let p(b) be the third derivative of 114*b**2 + 1/15*b**5 + 0 + 3872/3*b**3 + 44/3*b**4 + 0*b. Determine l so that p(l) = 0.
-44
Factor 278 + 601*x + 151*x**2 - 43*x + 45*x**2 + 2*x**3 + 86*x**2.
2*(x + 1)**2*(x + 139)
Let y(w) be the second derivative of -w**4/6 - 24*w**3 + 1105*w**2 - 5987*w. Let y(m) = 0. What is m?
-85, 13
Suppose -2175*a + 2172*a + 0*a**3 - 6*a**3 + 3 + 19*a**2 - 3 = 0. Calculate a.
0, 1/6, 3
Let j(k) be the first derivative of -k**4/36 - k**3 + 44*k**2/3 + 8228*k/9 + 4928. Suppose j(o) = 0. What is o?
-22, 17
Let u(r) be the third derivative of -r**7/1050 - r**6/100 - 13*r**5/300 - r**4/10 - 2*r**3/15 + 558*r**2 + 2. Suppose u(c) = 0. What is c?
-2, -1
Let w(j) be the first derivative of 48/7*j + 104 + 25/7*j**2 + 2/21*j**3. Factor w(m).
2*(m + 1)*(m + 24)/7
Let 0 + 8128/3*k**2 - 720*k**3 - 10496/3*k - 4/3*k**5 + 212/3*k**4 = 0. Calculate k.
0, 4, 41
Let z be (-10)/(-8) + 1012/(-880). Let t(a) be the second derivative of -1/3*a**3 + 12*a + a**2 + z*a**5 - 1/6*a**4 + 0. Suppose t(c) = 0. Calculate c.
-1, 1
Let l(d) = 2*d**4 - 92*d**3 - 306*d**2 - 250*d + 64. Let p(b) = 10*b**4 - 367*b**3 - 1225*b**2 - 999*b + 256. Let j(k) = -25*l(k) + 6*p(k). Factor j(t).
2*(t + 2)*(t + 4)**2*(5*t - 1)
Let l(i) = 11*i**3 + 7*i**2 - 58*i - 60. Let m(r) = 75*r**3 + 50*r**2 - 405*r - 420. Let a = -253 + 250. Let p(t) = a*m(t) + 20*l(t). Factor p(x).
-5*(x - 3)*(x + 1)*(x + 4)
Let c(k) = k**3 + 80*k**2 + 652*k + 52162. Let q be c(-80). Factor 1/6*f**q + 40/3*f + 800/3.
(f + 40)**2/6
Let -1059*p**3 + 1074*p**3 - 4715*p + 2456*p**2 - 466*p**2 + 1350 = 0. What is p?
-135, 1/3, 2
Let w be 19/((-95)/(-100))*1. Let u be ((4/(-1))/(-4))/(4/w). Suppose -4/3*s**2 + 2/3 + 2/3*s**4 - 2/3*s**3 + 1/3*s + 1/3*s**u = 0. Calculate s.
-2, -1, 1
Let m(y) be the third derivative of -y**7/630 - y**6/120 + y**5/45 + y**4/6 + 2*y**2 + 1971*y. Factor m(f).
-f*(f - 2)*(f + 2)*(f + 3)/3
Suppose -12*d = -7*d + 19*d. Factor -4/3*r**3 + 32/3*r**2 + 0*r + d.
-4*r**2*(r - 8)/3
What is l in -24/5*l + 2/5*l**5 + 0 + 86/15*l**4 - 58/5*l**2 + 154/15*l**3 = 0?
-12, -3, -1/3, 0, 1
Find s such that -9321 + 2008*s + 8716 - 419*s**2 + 5*s**3 - 196*s**2 - 793*s = 0.
1, 121
Let v(c) = c**2 + 94*c - 92. Let b(l) = -l**2 - l + 15. Let h be b(-5). Let i(w) = 190*w - 185. Let a(u) = h*v(u) + 3*i(u). Factor a(s).
-5*(s - 19)*(s - 1)
Suppose -18*z = -10 - 26. Factor 54*h**z - 3 + 15*h + 6*h - 30*h.
3*(3*h - 1)*(6*h + 1)
Let a be ((-12)/(-7) - 2) + (-792)/2961. Let z = 323/329 + a. Factor 1/7*d**2 - z*d - 4/7.
(d - 4)*(d + 1)/7
Suppose -5*r + 210 = 3*y, -493*r - 84 = -495*r - 5*y. Let d be 36/r + -1 - (-234)/315. Factor 0*i + 0 + d*i**2 - 3/5*i**3.
-3*i**2*(i - 1)/5
Let j be 85/(-45)*21710/(-14195). Find m, given that -10/3*m**2 + 4/9 - j*m = 0.
-1, 2/15
Solve 1/7*m**2 - 234/7 + 17/7*m = 0 for m.
-26, 9
Let y(g) be the first derivative of g**8/1680 - g**7/3360 - g**6/360 + g**5/480 - 9*g**3 + 77. Let p(b) be the third derivative of y(b). Factor p(w).
w*(w - 1)*(w + 1)*(4*w - 1)/4
Let h be (-62)/(-15) + 18/(-135). Suppose h*j = 6 + 2. Factor 2 + g**2 - 1 - 6*g + 0*g**j + 8.
(g - 3)**2
Let y(s) = -5*s**5 - s**4 - 60*s**3 + 419*s**2 - 805*s + 449. Let t(f) = -6*f**5 + 3*f**4 + f**2 - 1. Let k(p) = -t(p) + y(p). Determine x, given that k(x) = 0.
-9, 1, 2, 5
Let j = -33 + 69. Let z be -3 - (3 + -2 + -8). Factor 4*q**5 - 87 + j*q**3 - 20*q**z - 28*q**2 + 8*q + 87.
4*q*(q - 2)*(q - 1)**3
Suppose -66 - 30 = -8*g. Factor -111 - g*u**2 + 4081*u + 12 - 4480*u.
-3*(u + 33)*(4*u + 1)
Suppose 0 = -7*j + 4*j. Suppose 0 = -s - 23*t + 22*t + 6, -4*s = 5*t - 28. Suppose 9*b**3 + j*b**3 + 8 - 5*b**3 + 20*b + 16*b**s = 0. Calculate b.
-2, -1
Solve -3*z**2 - 37/4*z**3 + 0 + 0*z - 1/2*z**5 - 27/4*z**4 = 0 for z.
-12, -1, -1/2, 0
Let t(h) be the second derivative of -49*h**6/720 + 7*h**5/240 - h**4/192 - 83*h**3/3 - 148*h. Let f(j) be the second derivative of t(j). Solve f(g) = 0.
1/14
Let f(w) = -6*w**2 - 2*w - 7. Let i(q) = q**2 - q - 2*q - 3 + 4*q + 4. Let b(l) = -2*f(l) - 10*i(l). What is k in b(k) = 0?
1, 2
Factor 144/19 - 146/19*k + 2/19*k**2.
2*(k - 72)*(k - 1)/19
Let o = -191 + 189. Let h(d) = d**3 - 1. Let c(v) = -6*v**3 - 12*v**2 - 12*v - 2. Let s(j) = o*h(j) - c(j). Determine u so that s(u) = 0.
-1
Let i(r) = -4*r**2 + 4*r - 1. Let q be 4/32 - 230/(-80). Let s(d) = 9*d**2 - 9*d + 3. Let m(j) = q*s(j) + 7*i(j). Factor m(x).
-(x - 2)*(x + 1)
Factor -263*k**3 - 5619712 - 1344*k**2 - 286*k**3 - 150528*k + 545*k**3.
-4*(k + 112)**3
Let k(u) be the first derivative of 529*u**5/15 - 23*u**4/3 - 175*u**3/3 + 46*u**2/3 - 4*u/3 - 837. Solve k(x) = 0 for x.
-1, 2/23, 1
Let t(s) be the second derivative of 0*s**2 + 3/170*s**5 + 0*s**3 + 59*s + 4/255*s**6 + 0 + 1/357*s**7 + 0*s**4. Factor t(z).
2*z**3*(z + 1)*(z + 3)/17
Suppose -6 = -1757*b - 3 - 3. Let 1/5*h**5 - 8/5*h**4 + 23/5*h**3 + 12/5*h + b - 28/5*h**2 = 0. Calculate h.
0, 1, 2, 3
Let j(n) = 19 + 53*n + 38*n**2 - 59 + 6*n**3 - 58 + 0*n**3 + n**3. Let r(i) = -15*i**3 - 75*i**2 - 105*i + 195. Let a(k) = -5*j(k) - 2*r(k). Factor a(g).
-5*(g - 1)*(g + 4)*(g + 5)
Let g(p) be the first derivative of 0*p - 9/2*p**6 - 32 + 36*p**5 + 0*p**2 + 69*p**4 + 32*p**3. Factor g(c).
-3*c**2*(c - 8)*(3*c + 2)**2
Find i such that -343*i - 1393*i**3 + 132*i - 564*i**2 - 277*i**5 - 1110*i**4 + 207*i = 0.
-2, -1, -2