 Factor l(o).
3*(o - 8)*(o - 1)*(5*o - 2)
Let i = -2071 + 2073. Factor 1/4*p**i - p + 1.
(p - 2)**2/4
Let x(r) = -4*r**2 + 4*r. Let z(w) = w**2 - w - 2. Let y(k) = -5*k**2 + 5*k + 11. Let d(h) = -4*y(h) - 22*z(h). Let q(a) = -5*d(a) + 2*x(a). Factor q(b).
2*b*(b - 1)
Let j = 23 - 31. Let y(v) = v**2 + 8*v + 4. Let k be y(j). Solve 10 + 10*n**3 - 5*n - 5*n**5 - 6*n**4 + 62*n**2 - 82*n**2 + 16*n**k = 0.
-1, 1, 2
Let y(z) = -z + 10. Let s be y(6). Determine t, given that 32*t - 2*t**4 - s*t**3 - 2*t**2 - 32*t = 0.
-1, 0
Find u such that 12/7*u + 144/7 - 2/7*u**2 = 0.
-6, 12
Factor 0*k - 1/9*k**2 + 4/9.
-(k - 2)*(k + 2)/9
Let j(c) = 9*c**2 - 27*c + 22. Let b(f) = 20*f**2 - 54*f + 43. Let v(k) = 4*b(k) - 9*j(k). Let v(s) = 0. What is s?
1, 26
Suppose j + 3*w - 212 + 215 = 0, 5*j = 4*w + 23. Suppose -2/3 - 2/3*b**j - 2*b - 2*b**2 = 0. What is b?
-1
Let m(b) = 188*b**2 - 176*b + 44. Let f(y) = 124*y**2 - 118*y + 29. Let k(u) = -8*f(u) + 5*m(u). Determine v so that k(v) = 0.
3/13, 1
Let t be (-852)/52 + -1 + 11 + 7. Determine v, given that t*v**3 + 2/13*v**4 + 0*v + 0 + 6/13*v**2 = 0.
-3, -1, 0
Let f(x) = 2*x**5 + 4*x**3 + 0*x**4 + 2*x**4 + 2*x**2 + 3*x - x**4. Let m(g) = g**5 + g**3 + g**2 + g. Let n(k) = -f(k) + 3*m(k). Factor n(v).
v**2*(v - 1)**2*(v + 1)
Suppose 5*a = -36 + 36. Let b(g) be the first derivative of -1/8*g**2 - 1/12*g**3 - 5 + a*g. Factor b(t).
-t*(t + 1)/4
Factor 19*o**4 + 7*o**4 - 11*o**4 - 20*o + 5*o**3 - 60*o**2.
5*o*(o - 2)*(o + 2)*(3*o + 1)
Suppose 5*c = -191*c. Factor -2/7*k**2 + 0*k + c.
-2*k**2/7
Let x(i) be the second derivative of 2*i**7/21 - 4*i**6/3 + 32*i**5/5 - 38*i**4/3 + 10*i**3 + 383*i. Factor x(t).
4*t*(t - 5)*(t - 3)*(t - 1)**2
Let r(k) be the second derivative of 2*k**7/147 + 17*k**6/210 - 34*k**5/35 - 635*k**4/84 - 25*k**3/7 - 113*k. What is v in r(v) = 0?
-5, -1/4, 0, 6
Let b be 3 + 0*(3 - 30/9). Suppose -z - b*z - r = 0, 5*z + r = 0. Solve z - 2/7*c - 1/7*c**4 + 3/7*c**2 + 0*c**3 = 0 for c.
-2, 0, 1
Let t(f) = -5*f**5 - 13*f**4 - 9*f**3 + 13*f**2 + 5*f. Let d(z) = z**5 + z**4 + z**3 - z**2 + z. Let s(a) = -6*d(a) - 2*t(a). Factor s(u).
4*u*(u - 1)*(u + 1)**2*(u + 4)
Factor 342*r**3 + 162*r + 340*r**3 - 688*r**3 + 20*r**2 - 56.
-2*(r - 7)*(r + 4)*(3*r - 1)
Let v(w) = -18*w**2 + 11*w**2 - 19*w**2 - 1 - 16 + 3*w**3 + 6*w. Let x(b) = -b**3 + 9*b**2 - 2*b + 6. Let y(q) = -6*v(q) - 17*x(q). What is t in y(t) = 0?
0, 1, 2
Let s(b) be the first derivative of 75*b**4/8 - 135*b**3 + 153*b**2 - 60*b - 62. Factor s(c).
3*(c - 10)*(5*c - 2)**2/2
Factor -9/2*g - 1/2*g**2 - 9.
-(g + 3)*(g + 6)/2
Let u(z) = -z - 12. Let c be u(-16). Suppose x + 6 = c*x. Solve 4*v**4 + 2*v**4 - v**4 - 4*v**4 + v**2 + x*v**3 = 0 for v.
-1, 0
Let t be 9 - 6 - -92*6/(-264). Factor -4/11*v + 0 + t*v**3 + 6/11*v**2.
2*v*(v + 1)*(5*v - 2)/11
Let l(y) be the first derivative of -2/25*y**5 + 0*y + 1/10*y**4 - 14 + 2/15*y**3 - 1/5*y**2. Suppose l(o) = 0. What is o?
-1, 0, 1
Let w(d) be the second derivative of -d**6/90 + d**5/12 - d**4/4 + 7*d**3/18 - d**2/3 + 2*d + 68. Factor w(r).
-(r - 2)*(r - 1)**3/3
Let j(i) be the third derivative of -i**6/280 - i**5/140 + 33*i**4/56 - 9*i**3/2 - 83*i**2. Factor j(y).
-3*(y - 3)**2*(y + 7)/7
Let a(z) be the third derivative of z**7/1260 - z**6/540 - z**5/90 - 2*z**3/3 - 10*z**2. Let v(c) be the first derivative of a(c). Factor v(x).
2*x*(x - 2)*(x + 1)/3
Let y(f) be the third derivative of -f**8/784 - f**7/245 + 3*f**6/140 + f**5/7 + 19*f**4/56 + 3*f**3/7 + 27*f**2 - 3. Determine c, given that y(c) = 0.
-2, -1, 3
Factor 64/5*a + 0 - 18/5*a**4 + 24*a**3 + 184/5*a**2.
-2*a*(a - 8)*(3*a + 2)**2/5
Let a be (-1*(1 + 0))/(55/(-275)). Factor 0*w**3 + 2/3*w**a + 0*w**2 + 0 + 0*w + 0*w**4.
2*w**5/3
Suppose 17*f + 23 + 11 = 0. Let h be 0 - (11/f - -5). Factor -a**2 + h*a + 0 + 1/2*a**3.
a*(a - 1)**2/2
Suppose 0 = -6*b - 21 - 81. Let v = b - -19. Factor -h + 8*h - 3*h**2 + v*h.
-3*h*(h - 3)
Let o = 217/12 + -1495/84. Solve -4/7*v**4 + 0*v**3 + o*v**5 - 2/7*v + 4/7*v**2 + 0 = 0.
-1, 0, 1
Let a(x) be the third derivative of x**8/294 + 12*x**7/245 - x**6/140 - 2*x**5/15 - 3*x**4/28 + 120*x**2. Determine v, given that a(v) = 0.
-9, -1/2, 0, 1
Suppose 36 = -18*v + 27*v. Let q(j) be the third derivative of 0*j + 0*j**5 + 0*j**3 + 0*j**v + 1/330*j**6 + 1/385*j**7 - 7*j**2 + 1/1848*j**8 + 0. Factor q(n).
2*n**3*(n + 1)*(n + 2)/11
Factor 24/5 - 1/5*i**2 + 2*i.
-(i - 12)*(i + 2)/5
Let a = 7454 + -7452. Suppose -2/11*x**a - 8/11 + 10/11*x = 0. Calculate x.
1, 4
Let i(j) = j**2 + j - 1. Let r = -28 - -26. Let x(y) = -y**2 + 26*y - 50. Let d(z) = r*i(z) + x(z). Factor d(n).
-3*(n - 4)**2
Let y(j) be the first derivative of -3*j**6/2 + 24*j**5 - 39*j**4/4 + 64. Factor y(a).
-3*a**3*(a - 13)*(3*a - 1)
Let l(m) = -2*m + m**2 + 4*m**2 - 3*m**3 + m**2 + 2*m**3 - 2. Let q be l(5). Factor g**2 + 21 - 34 + q.
g**2
Factor -20 - 23*x**2 - 40*x**4 + 10*x**2 + 35*x**4 + 30*x**3 - 9*x**2 - 43*x**2 + 60*x.
-5*(x - 2)**2*(x - 1)**2
Let i(p) be the third derivative of 0*p - 7/15*p**5 + 4/3*p**4 + 32/3*p**3 + 1/30*p**6 - 12*p**2 + 0. Suppose i(h) = 0. What is h?
-1, 4
Suppose -18/5 + 3/5*i**2 + 3/5*i = 0. Calculate i.
-3, 2
Let m(w) = 12*w**2 - 12*w - 3. Let r = -8 - -11. Let p(f) = 13*f**2 - 11*f - 2. Let y(o) = r*m(o) - 4*p(o). Factor y(h).
-(4*h - 1)**2
Suppose 0 = 5*l + 3*f - 27, 6*f - 2*f - 1 = 5*l. Suppose y**3 + 6 + l*y**2 - 4*y - 4*y**2 - 2 = 0. Calculate y.
-2, 1, 2
Let d(o) = 300*o**3 - 695*o**2 + 540*o - 145. Let r(z) = 25*z**3 - 58*z**2 + 45*z - 12. Let j = 65 + -63. Let k(g) = j*d(g) - 25*r(g). Let k(s) = 0. What is s?
2/5, 1
Factor 30/11*c + 0 + 6/11*c**2.
6*c*(c + 5)/11
Let i(n) be the first derivative of -1/2*n**5 + 0*n + 15 - 5/8*n**4 + 5*n**2 + 10/3*n**3. Determine j so that i(j) = 0.
-2, -1, 0, 2
Suppose -4*t = -0*h - 5*h - 56, t + 5*h = 14. Suppose -3*d + 10 = -t. Factor -1 + 2*g + d*g**2 + 1 - 6*g**2.
2*g*(g + 1)
Factor -2/3 - 50/3*z**2 - 20/3*z.
-2*(5*z + 1)**2/3
Suppose 0 = -3*o + 3 - 6. Let i be 2*o*78/(-12). Factor 6*u**2 + 8*u**5 - 5 - 5*u**5 + 9*u - 1 - i*u**3 + u**3.
3*(u - 1)**3*(u + 1)*(u + 2)
Let m(c) be the first derivative of 10*c**6/3 - 112*c**5/5 - 147*c**4 - 296*c**3/3 + 344*c**2 + 288*c - 142. Suppose m(w) = 0. What is w?
-2, -2/5, 1, 9
Let l(j) be the second derivative of -j**8/2940 + j**7/735 + 5*j**3/6 - 4*j. Let m(c) be the second derivative of l(c). Determine q so that m(q) = 0.
0, 2
Suppose 3*h = -3, 2*w - 3 = 2*h + 3. Let m be 4 + (5/(-15) - (-20)/6). Factor -5*o + 0*o**2 - w + 2*o**2 + m*o**3 - 2*o**3.
(o - 1)*(o + 1)*(5*o + 2)
Let a(l) = l**3 - 6*l**2 + 6*l - 3. Let s be a(5). Factor -9*i**3 + 15*i**s - i + 4*i**3 - 9*i.
-5*i*(i - 2)*(i - 1)
Suppose 4*w - 122 = 2*u + 3*u, u + 19 = -w. Let s = u + 24. Factor -8/3*p - s - 2/3*p**2.
-2*(p + 1)*(p + 3)/3
Let c(j) be the first derivative of 2*j**5/55 - j**4/22 - 2*j**3/33 + j**2/11 - 146. Determine a, given that c(a) = 0.
-1, 0, 1
Let l(m) = -2*m + 27. Let z be l(12). Factor -2*k**4 + 20*k + 2*k**2 - 2*k - 4*k**z - 14*k.
-2*k*(k - 1)*(k + 1)*(k + 2)
Factor 0*y - 2/9*y**3 + 0 - 20/9*y**2.
-2*y**2*(y + 10)/9
Suppose 3*v - t = 6*v + 215, -2*v - 134 = 3*t. Let f = v - -73. Suppose f + 1/2*h**2 - 1/2*h**3 + 0*h = 0. Calculate h.
0, 1
Suppose x + 4*g - 15 = 0, -4*x - 5*g + 73 = 2. Let h be (2/3)/(x/627). Suppose -9*a**4 + 10*a**2 + h*a**3 - 5*a**5 - 47*a**3 + 22*a**4 + 7*a**4 = 0. What is a?
0, 1, 2
Let w(o) = -o**3 - 65 + 8*o**3 - 2*o**3 + 5*o**3 - 10*o**2. Let a(s) = -s**3 + s**2 + 6. Let x(g) = 65*a(g) + 6*w(g). Factor x(n).
-5*n**2*(n - 1)
Let j(a) be the second derivative of -a**6/10 + 81*a**5/10 - 105*a**4/4 + 26*a**3 + 79*a - 1. Factor j(z).
-3*z*(z - 52)*(z - 1)**2
Let q(r) = -2*r**5 - r**4 - r**3 + r - 1. Let h(a) = -7*a**5 - 6*a**4 - 35*a**3 + 10*a**2 + 32*a - 14. Let m(j) = 2*h(j) - 10*q(j). Find y such that m(y) = 0.
-3, -1, 1/3, 1, 3
Let x(j) be the second derivative of j**4/42 - 10*j**3/21 - 11*j**2/7 + 2*j - 1. Solve x(a) = 0.
-1, 11
Let d(l) be the second derivative of -l**7/294 - l**6/35 - 9*l**5/140 - l**4/21 - 36*l. Let d(f) = 0. What is f?
-4, -1, 0
Let g = 46 + -36. Factor -17*p - 13*p - 5*p**2 + g*p**2 + 47 - 2.
5*(p - 3)**2
Let h be (-3 - -1)*(-25)/200. Let u(f) be the first derivative of h*f + 1 - 1/4*f**2 + 1/8*f**4 + 0*f**3 - 1/20*f**5. D