 k(u).
-(u - 24)*(u - 1)/3
Let j(o) = 26*o - 73. Let t be j(4). Let z be 1/((-2)/(-11))*6. Factor -k**2 - t*k + 3*k**2 + z*k.
2*k*(k + 1)
Let y(d) be the second derivative of 3*d**5/140 - 27*d**4/28 + 12*d**3 + 42*d**2 + 282*d - 1. Factor y(x).
3*(x - 14)**2*(x + 1)/7
Let j(u) = 27*u - 24. Let s be j(1). Let i be 4*(1 - (-1)/(-2)). Factor i*h + 6 - h - h + s*h - 3*h**2.
-3*(h - 2)*(h + 1)
Let h = -181 - -82. Let w = h + 199/2. Factor -2*m - 2 - w*m**2.
-(m + 2)**2/2
Let s = 1965 + -9824/5. Let w(j) be the second derivative of 0*j**3 + s*j**2 - 4*j + 0 - 1/30*j**4. Factor w(m).
-2*(m - 1)*(m + 1)/5
Let y be ((-1)/(-2))/(5/90). Suppose -12*g = -y*g - 27. Factor 0*m**2 + 3*m**2 + 1 - 3*m + g*m + 2.
3*(m + 1)**2
Let n(f) be the first derivative of 1/16*f**4 + 0*f - 3 - 1/6*f**3 + 1/8*f**2. Determine h, given that n(h) = 0.
0, 1
Let j(d) be the third derivative of d**7/525 - 4*d**6/15 + 32*d**5/3 + 66*d**2. Determine u, given that j(u) = 0.
0, 40
Let h = 207 + -194. Let i be 3 + h/(-4) - -3 - 2. Find z such that 0 - 3/2*z + 15/4*z**2 - i*z**3 - 15/4*z**4 + 9/4*z**5 = 0.
-1, 0, 2/3, 1
Let s be ((-6)/27)/((-4)/6). Let b(f) be the first derivative of 14 + 10/27*f**3 - s*f**2 - 1/18*f**4 - 2*f. Factor b(o).
-2*(o - 3)**2*(o + 1)/9
Factor 37*x**2 + 2 - 2 + 22*x**2 - 57*x**2 + 10*x.
2*x*(x + 5)
Factor -671 + 719 - 4*k**2 - 733 - 256*k - 1225 - 2186.
-4*(k + 32)**2
Let m = -109 + 131. Let r = m - 22. Suppose r + 0*c - 1/4*c**2 = 0. What is c?
0
Suppose 0 = -4*q + 5 + 11. Suppose p - q = -p. Suppose -6*i**2 - 2*i**3 + 0*i**3 + 6*i**p = 0. Calculate i.
0
Let f(v) be the third derivative of -v**7/378 + v**6/1620 + 4*v**3 + 42*v**2. Let h(k) be the first derivative of f(k). Let h(z) = 0. Calculate z.
0, 1/10
Factor -49/6*j**3 + 104*j**2 + 0 - 96*j + 1/6*j**4.
j*(j - 24)**2*(j - 1)/6
Let m(a) = -a**2 - 11*a + 34. Let n(z) = -z**2 + z + 2. Let o(b) = m(b) - 2*n(b). Suppose o(l) = 0. Calculate l.
3, 10
Let k(w) be the first derivative of -w**3/15 + 16*w**2/5 + 69. Factor k(h).
-h*(h - 32)/5
Let s be (-4)/(-38) + 10/105*(-5136)/(-304). Let 24/7*i**2 + 0*i - s*i**3 - 6/7 + 12/7*i**5 - 18/7*i**4 = 0. What is i?
-1, -1/2, 1
Suppose -10 = -2*q - 4. Let 10*c**2 - q*c**3 - 4*c**2 - 8 + c**3 = 0. What is c?
-1, 2
Suppose 1141*u + 16 = 1149*u. Let m(z) be the first derivative of 4*z**u + 0*z + 6 - 4/3*z**3. Suppose m(i) = 0. What is i?
0, 2
Let l(w) be the third derivative of 1/3*w**3 + 5*w**2 - 1/30*w**5 + 1/24*w**4 - 1/120*w**6 + 0 + 0*w. Let l(s) = 0. What is s?
-2, -1, 1
Let w = 19972/9 - 2218. Factor -w*m - 8/9*m**2 - 2/9*m**3 - 4/9.
-2*(m + 1)**2*(m + 2)/9
Let p(s) be the third derivative of -s**6/240 + s**5/120 - s**2 - 59*s. Determine j so that p(j) = 0.
0, 1
Let k be 3 + 5 + 3/(-3). Let w be k/21 - 3/45. Factor w + 2/5*r + 2/15*r**2.
2*(r + 1)*(r + 2)/15
Let 2/3*g**5 - 58/3*g**2 - 40*g - 56/3 + 6*g**4 + 22/3*g**3 = 0. Calculate g.
-7, -2, -1, 2
Let l(y) = -2*y**3 + 6*y**2 - 16. Let t(s) = -2. Let j(r) = l(r) - 4*t(r). Factor j(c).
-2*(c - 2)**2*(c + 1)
Factor -2*w - 8/3 + 5/3*w**3 + 3*w**2.
(w - 1)*(w + 2)*(5*w + 4)/3
Suppose 32 = -0*u - 4*u. Let p be (50/(-4))/(4/u). Factor 0 - 2*s**2 + 7*s**2 - p*s**3 + 4 + 16*s + 0.
-(s - 1)*(5*s + 2)**2
Suppose 0 - 8 = 8*x. Let h be (x + -4 + 3)*(-10)/28. Let h*r + 2/7 + 2/7*r**2 = 0. What is r?
-2, -1/2
Let y(w) be the second derivative of -1/6*w**4 - 4/3*w**3 - 7*w + 0 + 5*w**2. Factor y(l).
-2*(l - 1)*(l + 5)
Let k(m) be the second derivative of -49*m**4/6 + 238*m**3/3 - 289*m**2 - m - 99. Let k(q) = 0. Calculate q.
17/7
Let t(u) be the third derivative of u**6/180 + 11*u**5/90 + 35*u**4/36 + 25*u**3/9 - 165*u**2. Find f such that t(f) = 0.
-5, -1
Factor 0 + 2/3*m**3 - 1/3*m**4 + m**2 + 0*m.
-m**2*(m - 3)*(m + 1)/3
Let t = 38 + -50. Let j be (-3)/t*(-16)/(-3). Determine c so that 0 - 4/3*c**4 - 2/3*c**5 + j*c**2 + 2/3*c + 0*c**3 = 0.
-1, 0, 1
Let g(h) be the second derivative of -27/14*h**2 - 14*h + 0 + 3/35*h**5 - 6/7*h**3 + 1/14*h**4 - 1/70*h**6. Factor g(f).
-3*(f - 3)**2*(f + 1)**2/7
Let a be 4/(-10)*(-385)/(-7). Let v = a - -67/3. Determine i so that 0*i**2 + 0*i - 1/3*i**5 + v*i**3 + 0 + 0*i**4 = 0.
-1, 0, 1
Suppose -2*y + 5*h + 26 = 0, 4*y - 24 = 4*h - h. Suppose -z = y*p - 19, z - 24 = -3*p - p. Factor -6/5*k**3 + 0*k + 0 + 2/5*k**2 + 6/5*k**4 - 2/5*k**p.
-2*k**2*(k - 1)**3/5
Suppose 0 = 2*s - 5*m + 11 - 39, -2*s = -3*m - 20. Factor 0*h - 2/7*h**s + 0 + 0*h**3 + 2/7*h**2.
-2*h**2*(h - 1)*(h + 1)/7
Let p(x) be the second derivative of -x**9/1008 - x**8/560 + 13*x**3/6 - 24*x. Let c(v) be the second derivative of p(v). Factor c(n).
-3*n**4*(n + 1)
Find w, given that -3/2*w**2 - 3/2*w + 3 = 0.
-2, 1
Let b(m) be the second derivative of -3*m**5/70 - m**4/21 + m**3/7 + 2*m**2/7 - 203*m. Find i such that b(i) = 0.
-1, -2/3, 1
Let l(c) = c**2 + 38*c + 9. Let w be l(-33). Let j = -154 - w. Factor -2/3*d**j - 13/6*d - 1/2.
-(d + 3)*(4*d + 1)/6
Let h be 40/12*(-36)/(-10). Let p = -6 + h. Suppose 4*r + p*r**2 - 3*r - 4*r - 3*r**3 = 0. What is r?
0, 1
Determine o, given that 40 + 6*o + 0*o**2 + 6*o + 23*o + 7*o + 2*o**2 = 0.
-20, -1
Suppose 0 = 5*w - 3*y - 64 - 53, 97 = 5*w + 2*y. Let a be (27 - w) + (-88)/15. Solve 8/15*h**3 + a*h**4 - 2/15*h**2 + 0 - 8/15*h**5 + 0*h = 0 for h.
-1, 0, 1/4, 1
Suppose -35 = u - 10*u + 10. Factor -1/7*g**u + 0*g**2 + 0*g**4 + 0*g**3 + 0*g + 0.
-g**5/7
Let i(r) be the first derivative of 7*r**3/9 - 17*r**2/2 + 14*r/3 - 279. What is n in i(n) = 0?
2/7, 7
Let f = 65 + -95. Let q = -28 - f. Let 0 - 10/3*c**3 + 4/3*c - 2*c**q = 0. Calculate c.
-1, 0, 2/5
Let t(k) be the second derivative of 5*k**4/12 + 5*k**3/3 + 5*k**2/2 + 3*k. Factor t(p).
5*(p + 1)**2
Let i(v) be the second derivative of 0*v**2 - 1/3*v**3 - 17*v + 0 + 1/20*v**5 + 1/12*v**4. Find y, given that i(y) = 0.
-2, 0, 1
Let d(r) be the second derivative of -r**2 - 6/7*r**7 + 3*r + r**4 + 0 + 2*r**3 - 3*r**6 - 14/5*r**5. Determine x, given that d(x) = 0.
-1, 1/6, 1/3
Suppose 201/8*t**3 + 3/8*t**5 + 111/2*t + 21 + 219/4*t**2 + 21/4*t**4 = 0. What is t?
-7, -2, -1
Let p(l) be the third derivative of -l**7/336 + l**6/240 + l**5/120 - 2*l**3/3 + 3*l**2. Let i(d) be the first derivative of p(d). Solve i(h) = 0 for h.
-2/5, 0, 1
Let n = 19849 - 99201/5. Let i = -664/65 + 216/13. Factor 16/5*t**3 + 12/5 - n*t + i*t**2.
4*(t + 3)*(2*t - 1)**2/5
Suppose 3*f + p = 13, -3*p = f - 6*p - 21. Let m(g) = -g**3 + 8*g**2 - 5*g - 10. Let j be m(7). Solve -f*o + j + 6*o**3 - o**3 + 0*o - 3*o**3 = 0 for o.
-2, 1
Let b(d) = 45*d**3 + 225*d**2 + 135*d - 370. Let f(u) = 5*u**3 + 25*u**2 + 15*u - 41. Let x(m) = 4*b(m) - 35*f(m). Factor x(c).
5*(c - 1)*(c + 3)**2
Suppose -13/4*y + 0*y**2 + 3 + 1/4*y**3 = 0. What is y?
-4, 1, 3
Factor -1 + 2*s**2 - 42 + 20*s - 62 + 3*s**2.
5*(s - 3)*(s + 7)
Suppose -7*f + 3*f - 140 = 0. Let o be (-15)/(-14) + 20/f. Factor 0 + 0*z + o*z**4 + 1/2*z**2 - z**3.
z**2*(z - 1)**2/2
Let k be (52/9 - 6)/((-9)/27). Factor 2/3*y**2 - 4/3 + k*y.
2*(y - 1)*(y + 2)/3
Suppose -5*r = 3*w + 15, 16*r - 5*w - 25 = 11*r. Factor r*i**2 + 0*i - 2/7*i**4 + 2/7*i**5 + 0 + 0*i**3.
2*i**4*(i - 1)/7
Factor 83*o - 83*o + 72*o**2 + 2*o**3 + 0*o.
2*o**2*(o + 36)
Let o(s) be the first derivative of 2*s**5/45 - 5*s**4/18 - 361. Suppose o(z) = 0. Calculate z.
0, 5
Let u = -796 + 799. Let c(y) be the first derivative of -1/6*y**3 - 1/2*y**2 + 3/2*y + u. Factor c(i).
-(i - 1)*(i + 3)/2
Factor -4/7 + 6/7*d + 0*d**2 - 2/7*d**3.
-2*(d - 1)**2*(d + 2)/7
Let y(b) = -2*b**4 - 29*b**3 - 215*b**2 - 545*b - 495. Let p(d) = -d**4 - 14*d**3 - 108*d**2 - 272*d - 247. Let w(r) = 5*p(r) - 3*y(r). Factor w(s).
(s + 2)*(s + 5)**3
Suppose 5*m = m + 80. Solve m*g - 29*g**2 - 25*g**2 + 58*g**2 - 24 = 0 for g.
-6, 1
Let n(b) = b**3 - 21*b**2 - 17*b + 360. Let o be n(21). Factor -12/5 - 4/5*u**2 + 4/5*u**o - 4*u.
4*(u - 3)*(u + 1)**2/5
Factor 81*z**2 + 43*z**2 + 5*z**2 + 15*z**2 + 1 - 24*z.
(12*z - 1)**2
Suppose 4*h - 9 = 7. Factor 3 - 5 + h + 3 - 5*t**2.
-5*(t - 1)*(t + 1)
Let f(n) = n**2 - 8*n + 2. Let p be f(8). Factor 6*l + 1 + p*l**2 - 9 + 0.
2*(l - 1)*(l + 4)
Suppose 5*s - 2*b - 4 = 0, -53*s = -55*s - 4*b - 8. Find g, given that -4/9 + 4/9*g**2 + s*g = 0.
-1, 1
Let o(z) = -6*z + 0*z**2 + 1 + 6*z**2 - 5*z**2. Let w be o(7). Factor 6*g - 5 + 4*g**2 + 1 - w*g - 2*g**2.
2*(g - 2)