 74*x/19 + 196. Factor w(t).
2*(t + 1)*(t + 37)/19
Suppose -2*l + 45 = -5*n, -9*l = -14*l + 4*n + 53. Determine b, given that 6/5*b + 3/5*b**4 - 3/5*b**2 + 0 + 3/5*b**l - 9/5*b**3 = 0.
-2, -1, 0, 1
Factor -m**2 - 8*m**2 - 4*m**3 - 4*m**2 - 11*m**2.
-4*m**2*(m + 6)
Let x(o) = -o**2 - 2*o + 1. Let z(i) = -7*i**2 + 33. Let g(r) = -10*x(r) + 2*z(r). Factor g(h).
-4*(h - 7)*(h + 2)
Let y be 844/(-6)*(-2)/(-4). Let p = y + 71. Solve 2/3*z**2 + 1/3*z - p - 1/3*z**3 = 0 for z.
-1, 1, 2
Suppose -4*k = 4*t - 12, 0 = k - 4*k + 4*t + 2. Suppose 0 = -s + 4, k*s + 7 = 4*v - 1. Determine w so that -w**2 - 2*w**2 + 56*w**3 - 5*w**2 - 98*w**v = 0.
0, 2/7
Let n = -161 + 159. Let w be (-25*(-2)/20)/(n/(-4)). Factor -2/15*i**w + 0 - 2/15*i - 8/15*i**2 - 4/5*i**3 - 8/15*i**4.
-2*i*(i + 1)**4/15
Let r(k) = k + 5. Let c be r(17). Suppose c*n + 15 = 27*n. Factor -4/7*w + 2*w**2 - 10/7*w**n + 0.
-2*w*(w - 1)*(5*w - 2)/7
Let f(l) be the third derivative of 5*l**8/1008 + l**7/210 - 11*l**6/180 - l**5/15 + l**4/9 + 28*l**2. Solve f(v) = 0.
-2, -1, 0, 2/5, 2
Let w(a) = 3*a**2 + 55*a + 39. Let h(p) = -p**2 - 28*p - 19. Let r(b) = -14*h(b) - 6*w(b). Determine i so that r(i) = 0.
-1/2, 16
Let n(q) be the second derivative of q**5/10 + 5*q**4/24 + q**3/12 - 3*q + 26. Let n(s) = 0. What is s?
-1, -1/4, 0
Let i = -27 + 42. Factor 12*j**3 + i*j**3 + 22*j - 35*j**3 + 32*j**2 + 4 + 22*j**3.
2*(j + 1)**2*(7*j + 2)
Let y(w) be the first derivative of 0*w**3 + 1 + 2*w + 0*w**2 - 1/15*w**6 + 0*w**5 + 1/6*w**4. Let z(j) be the first derivative of y(j). Solve z(m) = 0.
-1, 0, 1
Let g(a) be the first derivative of -a**6/10 + 3*a**5/20 + a**4/4 - a**3/2 + 7*a + 13. Let p(v) be the first derivative of g(v). Factor p(m).
-3*m*(m - 1)**2*(m + 1)
Let s(n) be the first derivative of -n**3/5 + 36*n**2/5 + 730. Solve s(l) = 0.
0, 24
Let w(y) be the first derivative of y**4/10 - 6*y**3/5 + 24*y**2/5 - 32*y/5 - 114. Factor w(c).
2*(c - 4)**2*(c - 1)/5
Let d(t) be the third derivative of 8/3*t**3 + 10/3*t**4 + 0*t + 8/5*t**5 - 5/42*t**7 - 15*t**2 - 1/6*t**6 + 0. Factor d(y).
-(y - 2)*(y + 2)*(5*y + 2)**2
Let j = 41 - 29. Suppose 4*x = -0*x + j. Find r, given that r**2 + 2*r**x - 2*r + 5*r**2 + 0*r**2 + 6*r = 0.
-2, -1, 0
Factor 0 + 2/5*b**4 - 4*b**3 + 32/5*b**2 + 0*b.
2*b**2*(b - 8)*(b - 2)/5
Let t(b) = -b**2 - 3*b**2 + 3*b**2. Let q(a) = -a**2 - 6*a - 3. Let y(j) = q(j) + 2*t(j). Factor y(d).
-3*(d + 1)**2
Solve -4/5*j**2 + 8*j + 44/5 = 0 for j.
-1, 11
Let u(v) = 55*v**3 + 175*v**2 + 265*v + 95. Let p(g) = -4 - 18*g**2 - 9*g**3 - 44*g - 11*g**2 - 12. Let q(w) = 25*p(w) + 4*u(w). Solve q(r) = 0 for r.
-2, -1
Suppose -3*n - 9 = 0, 5*v - 5*n - 26 = -3*n. Suppose u + u = v. Factor -7*l + 3 + l**u + 0*l**2 + 0*l**2 + 11*l.
(l + 1)*(l + 3)
Let v be ((-6)/(-255))/((-441)/(-45)). Let w = v + 474/833. Factor 2/7 + w*o**2 - 5/7*o - 1/7*o**3.
-(o - 2)*(o - 1)**2/7
Let s(r) = -32*r**4 + 1416*r**3 - 15830*r**2 + 3877*r - 5. Let l(y) = 16*y**4 - 708*y**3 + 7916*y**2 - 1938*y + 2. Let j(f) = -5*l(f) - 2*s(f). Factor j(h).
-4*h*(h - 22)**2*(4*h - 1)
Let -6*k**2 + 44/7*k - 16/7 - 2/7*k**4 + 16/7*k**3 = 0. What is k?
1, 2, 4
Let f(k) = 69*k**2 + 1654*k - 44. Let o be f(-24). Solve o*z**2 - 22/3*z + 4 - 2/3*z**3 = 0 for z.
1, 2, 3
Determine h, given that -5/11*h - 6/11 + 1/11*h**2 = 0.
-1, 6
Suppose 396*r = 397*r - 5*c + 45, r + 3*c = 27. Let 0*h - 2/19*h**4 + 0*h**2 + r*h**3 + 0 = 0. What is h?
0
Let z(i) be the first derivative of i**6/6 + 31*i**5/5 + 163*i**4/4 + 337*i**3/3 + 152*i**2 + 100*i + 496. Factor z(x).
(x + 1)**2*(x + 2)**2*(x + 25)
Suppose 11*w = 7*w + 20. Find i, given that w*i**4 + 2*i**4 - 3*i - 6*i**2 - i**4 + 3*i**5 = 0.
-1, 0, 1
Let u be (-1)/(-70)*9/(8 - 5). Let z(d) be the second derivative of -7*d - 1/21*d**3 - 1/105*d**6 - 1/14*d**4 + 0*d**2 - u*d**5 + 0. Solve z(x) = 0.
-1, 0
Let o(s) be the third derivative of -7*s**5/60 - s**4/2 - 92*s**2. Factor o(j).
-j*(7*j + 12)
Suppose -f + 3*o - 2 = -1, -3*f + 5*o = -5. Let i = 4 + -1. Factor -v**3 - 2*v**2 - v**i - v**3 + 3*v**2 - v**f + 3*v**4.
-v**2*(v - 1)**3
Suppose -5*t + 5 = 5*a, -a - a = 4*t - 14. Let g be 0/t - (-1 - 1). Factor -4*m**4 - 3*m**3 + 2*m**5 + 3*m**3 + 4*m**2 - g*m**3.
2*m**2*(m - 2)*(m - 1)*(m + 1)
Let v(i) be the first derivative of 14*i**5/25 - 22*i**4/5 + 2*i**3/3 + 44*i**2/5 - 24*i/5 + 32. Solve v(z) = 0 for z.
-1, 2/7, 1, 6
Suppose 3*q + 8 = 2*q. Let c = q + 10. Let 0*g**4 - g**5 - c*g**3 + g**3 + 4*g**4 - 2*g**4 = 0. Calculate g.
0, 1
Let s(v) be the second derivative of -v**4/48 - 10*v**3/3 - 200*v**2 + 182*v. Determine n, given that s(n) = 0.
-40
What is u in -6728/11 + 694/11*u**2 - 6/11*u**3 - 19952/11*u = 0?
-1/3, 58
Let m(v) be the first derivative of v**4/16 + v**3/6 + v**2/8 + 41. Factor m(d).
d*(d + 1)**2/4
Find m such that 1604*m**5 - 24*m**3 + 12*m**2 - 57*m**4 - 3213*m**5 + 1588*m**5 = 0.
-2, -1, 0, 2/7
Factor 11*d**4 + 0*d**2 + 5*d**2 - 30*d + 128*d**2 + 0*d**2 + 174*d**3.
d*(d + 1)*(d + 15)*(11*d - 2)
Factor 2/7*y**2 - 4/7 - 2/7*y.
2*(y - 2)*(y + 1)/7
Let y(f) be the second derivative of 0 - 4*f + 0*f**2 + 1/10*f**5 + 4/3*f**3 + 5/6*f**4. Factor y(q).
2*q*(q + 1)*(q + 4)
Let c(r) be the third derivative of r**5/60 + 13*r**4/24 - r**2 + 15*r. Solve c(p) = 0 for p.
-13, 0
Let p(y) be the third derivative of 0*y**4 + 1/840*y**6 + 0 + 0*y**3 + 0*y - 10*y**2 + 0*y**5. Suppose p(c) = 0. Calculate c.
0
Let g(v) be the third derivative of v**5/570 + 11*v**4/228 - 14*v**3/19 + v**2 - 169. Factor g(n).
2*(n - 3)*(n + 14)/19
Let a be (-1)/35*(140/(-40) - 0). Determine k, given that -a*k**2 + 2/5*k - 2/5 = 0.
2
Let u(k) be the first derivative of 4*k**5 + 25/9*k**6 - 11/6*k**4 - 18 + 4/3*k**2 + 0*k - 8/3*k**3. Let u(b) = 0. What is b?
-1, 0, 2/5
Suppose 5*q + 234*a - 1 = 233*a, -2 = q - 2*a. Factor 1/3*g**4 + 36*g**2 + 6*g**3 + 72*g + q.
g*(g + 6)**3/3
Let l(u) be the second derivative of -u**8/43680 + u**7/16380 - 5*u**4/12 - 8*u. Let v(h) be the third derivative of l(h). Factor v(q).
-2*q**2*(q - 1)/13
Let y(g) be the second derivative of -g**7/280 + g**6/60 - g**5/40 + 41*g**3/6 - 15*g. Let m(r) be the second derivative of y(r). Factor m(q).
-3*q*(q - 1)**2
Suppose 2 = -h - j - j, 5*h - 5*j - 35 = 0. Suppose -1/2*v**3 + 0 + 1/4*v**h + 0*v + 1/4*v**5 + 0*v**2 = 0. What is v?
-2, 0, 1
Let 158*i + 0 - 14 - 65*i - 77*i - 2*i**2 = 0. Calculate i.
1, 7
Let m(h) = -44*h - 4. Let f be m(-3). Suppose -70*i**3 + f - 24*i**2 + 37*i**3 + 29*i**3 = 0. Calculate i.
-4, 2
Let u(g) = -5*g**2 + 7*g - 5. Let d be 2533/(-102) + 2/(-12). Let j(o) = 40*o**2 - 55*o + 40. Let a(r) = d*u(r) - 3*j(r). Solve a(b) = 0.
1
Let l be (32474/1092 - 26) + 5/6. Factor l*y + 24/7 - 6/7*y**2.
-2*(y - 6)*(3*y + 2)/7
Let d(x) = -4 + 0 + 4*x**2 - 2*x + 13. Let r(k) = 3*k**2 - 3*k + 8. Let i(w) = -2*d(w) + 3*r(w). Factor i(v).
(v - 3)*(v - 2)
Suppose 0 = -120*i + 125*i - 770. Factor l**3 + 5*l**2 + 98*l**5 + 63*l**3 - i*l**4 - 4*l**2 - 9*l**2.
2*l**2*(l - 1)*(7*l - 2)**2
Let k(f) be the third derivative of 5/12*f**5 - 11*f**2 + 0 + 0*f**3 + 0*f + 1/8*f**6 + 5/12*f**4. Find z, given that k(z) = 0.
-1, -2/3, 0
Let j(g) be the first derivative of g**6/51 + 18*g**5/85 + 27*g**4/34 + 18*g**3/17 - 183. Factor j(x).
2*x**2*(x + 3)**3/17
Let c = -19 + 211/11. Let s(y) = 2*y**2 - 15*y - 6. Let o be s(8). Solve 0 + 2/11*i**3 + 0*i**o - c*i = 0.
-1, 0, 1
Suppose 3*w + 297 = 6*w. Factor -w*d**2 + 51*d**2 + 3*d**3 + 47*d**2.
d**2*(3*d - 1)
Let d(q) = -645*q**2 - 400*q + 26. Let i(k) = -645*k**2 - 400*k + 29. Let f(y) = -3*d(y) + 2*i(y). Factor f(u).
5*(3*u + 2)*(43*u - 2)
Let a = -1320 - -1324. Factor -98/13*h**a + 8/13*h + 42/13*h**3 + 48/13*h**2 + 0.
-2*h*(h - 1)*(7*h + 2)**2/13
Let u be 1*((-1 - 0) + 27). Suppose -3*s - s = -24. Let u*g**2 - s*g - g + 3*g = 0. What is g?
0, 2/13
Let h(j) be the first derivative of 7*j**5 - 20*j**4 - 145. Factor h(b).
5*b**3*(7*b - 16)
Suppose -136 + 124/3*d + 4/3*d**2 = 0. What is d?
-34, 3
Suppose 110 + 4*p**4 - 45*p**3 + 2*p**4 - 70*p**2 - 110 - 11*p**4 = 0. What is p?
-7, -2, 0
Factor 1/4*y**4 + 19/4*y**2 + 0 + 2*y**3 + 3*y.
y*(y + 1)*(y + 3)*(y + 4)/4
Let k(u) be the second derivative of u**5/300 - u**4/120 - 4*u**2 + 3*u. Let l(j) be the first derivative of k(j). What is o in l(o) = 0?
0, 1
Factor -39/5 - 1/5*r**2 + 16/5*r.