 - 3)*(p + 2)
Factor -470*b + b**2 + 955*b - 493*b.
b*(b - 8)
Determine k, given that 0*k**2 - 5*k - 7*k + 6*k**2 - 7*k**2 - k - 30 = 0.
-10, -3
Suppose 0 = -5*z + 5*b, 0 = -z + 5*z + b - 5. Let u(f) = 4*f - 2. Let n be u(z). What is h in -7/4*h**5 + 0*h + 0 - 1/2*h**n - 11/4*h**3 - 4*h**4 = 0?
-1, -2/7, 0
Let f(p) be the first derivative of -p**3/12 + 3*p**2 + 154. Suppose f(r) = 0. Calculate r.
0, 24
Let j(r) be the third derivative of -r**6/60 - r**5/30 + r**4/6 + 37*r**2. Suppose j(u) = 0. Calculate u.
-2, 0, 1
Let a(m) be the first derivative of -m**7/210 + m**6/40 + m**5/12 - m**4/8 - 2*m**3/3 + 8*m**2 + 14. Let i(o) be the second derivative of a(o). Factor i(l).
-(l - 4)*(l - 1)*(l + 1)**2
Factor 12*a + 38*a - 5*a**2 + 0*a - 45.
-5*(a - 9)*(a - 1)
Let f be (4/14)/((-50)/(-35)) + (-4)/(-30). Suppose -f*s**4 - s**2 - 1/3*s + 0 - s**3 = 0. What is s?
-1, 0
Suppose -24*g - 20*g = 0. Factor 0*n + g + 4/3*n**2 + 8/3*n**4 + 2/3*n**5 + 10/3*n**3.
2*n**2*(n + 1)**2*(n + 2)/3
Let i(h) = 11*h**2 + 10*h + 15. Let s(y) = 2*y**2 + 3. Let x(n) = -3*i(n) + 12*s(n). Determine u so that x(u) = 0.
-3, -1/3
Factor 3*o**2 + 618*o - 104 + 16091 - 180*o.
3*(o + 73)**2
Suppose 6*k = 2*k + 2*f - 10, -f - 1 = 4*k. Let q(d) = d**3 - d**2 - d. Let g(s) = -4*s**3 + 2*s**2 + 8*s + 4. Let y(a) = k*g(a) - 2*q(a). Factor y(t).
2*(t - 2)*(t + 1)**2
Let -2/15*a**4 + 0 - 10*a - 26/15*a**3 - 22/3*a**2 = 0. What is a?
-5, -3, 0
Let j(s) be the third derivative of s**7/420 + s**6/48 - 87*s**2. Solve j(o) = 0.
-5, 0
Factor -7760/9*k**2 - 32000/9 + 1112/9*k**3 - 76/9*k**4 + 2/9*k**5 + 25600/9*k.
2*(k - 10)**3*(k - 4)**2/9
Let w be (-1)/4 + 51/12. Let k(t) = -t**2 + 9*t - 6. Let z be k(8). Let c**z + 0 + w - 3*c**2 - 2*c = 0. Calculate c.
-2, 1
Suppose 4*b - 14 = -3*o, 2*o = 2*b - 0*b. Let h be 8 + (2 - -2) - b. Solve -z**2 + h*z - 16 + 41 + 2*z**2 = 0 for z.
-5
Suppose d - 54 = -12. Let x be (d/(-49))/(2/(-14)). Let -15*o**5 - 21*o**4 - 2*o + 2*o - x*o**3 = 0. Calculate o.
-1, -2/5, 0
Let -4/7*r**3 + 0 + 48*r**2 + 0*r = 0. What is r?
0, 84
Find r such that 4*r + 17*r - 128 + 128 + 3*r**2 = 0.
-7, 0
Let r(n) be the first derivative of -5*n**4/2 + 55*n**3/3 - 10*n**2 - 25*n + 180. Factor r(x).
-5*(x - 5)*(x - 1)*(2*x + 1)
Factor -1/6 + 1/6*p**4 + 0*p**2 - 1/3*p + 1/3*p**3.
(p - 1)*(p + 1)**3/6
Let c(a) be the first derivative of a**6/21 - 4*a**5/7 - 9*a**4/7 + 712*a**3/21 - 89*a**2 + 84*a - 307. Determine i, given that c(i) = 0.
-6, 1, 7
Let f(d) be the second derivative of -d**5 - 8*d**4/3 + 47*d**3/6 - 13*d**2/2 + 762*d. Factor f(j).
-(2*j - 1)**2*(5*j + 13)
Suppose -29/3 + 1/3*m**2 - 28/3*m = 0. What is m?
-1, 29
Let c = 29 - 25. What is p in -9*p**4 + p**2 + 1 + 13*p**c - 1 + 5*p**3 = 0?
-1, -1/4, 0
Factor 100/3 - 4/3*u**2 - 32*u.
-4*(u - 1)*(u + 25)/3
Factor 282*d + 2*d - 12*d + 5*d**2 - d**2 + 64*d + 7056.
4*(d + 42)**2
Let x = 107111/46858 + -1/6694. Let -x*h + 4/7*h**2 + 12/7 = 0. What is h?
1, 3
Let p(k) be the second derivative of 0 - 1/33*k**4 - 6*k + 5/33*k**3 - 2/11*k**2. Suppose p(z) = 0. What is z?
1/2, 2
Let n(g) be the third derivative of 0*g - 3/2*g**3 - 5/8*g**4 + 0 + 1/48*g**6 - 1/840*g**7 + 12*g**2 - 13/240*g**5. Factor n(s).
-(s - 6)**2*(s + 1)**2/4
Let k = -27 + 39. Let n be 26/6 - 2/6. Factor 17 + 32*w + 35 + n*w**2 + k.
4*(w + 4)**2
Let w = 141747/4 - 88307585/2492. Let y = w - 3/89. What is l in -3/7*l - 5/7*l**2 + y = 0?
-1, 2/5
Let l(f) = 27*f**2 - 42*f + 18. Suppose 0 = 3*g - 8*g + 15. Let w(d) = 2*d - g*d - 1 - 2 - d**2 + 2. Let y(v) = -l(v) - 6*w(v). Factor y(a).
-3*(a - 2)*(7*a - 2)
Factor 20/3 - 5/3*h**2 - 5*h.
-5*(h - 1)*(h + 4)/3
Find q, given that 1/2*q**3 - 1 - 1/2*q + q**2 = 0.
-2, -1, 1
Let j(q) be the first derivative of -q**6/20 + 9*q**5/40 - 3*q**4/8 + q**3/4 - q - 13. Let o(m) be the first derivative of j(m). Factor o(g).
-3*g*(g - 1)**3/2
Find n, given that -4*n**2 + 3*n**2 - 25*n + 30*n - 10*n**2 + 7*n**3 - n**4 = 0.
0, 1, 5
Factor -67*d - 561 + 2*d - 3*d**2 - 7*d + 129.
-3*(d + 12)**2
Let j(v) be the second derivative of v**7/168 - v**6/8 + 3*v**5/5 + 4*v**4/3 - 298*v. Solve j(w) = 0 for w.
-1, 0, 8
Let l(w) = -2*w + 18. Let u be l(8). Determine g, given that 2*g**2 - 4*g**2 - g**2 - 5*g - u*g**2 = 0.
-1, 0
Solve 3/5*i + 126/5*i**3 - 33/5*i**2 - 192/5*i**4 + 0 + 96/5*i**5 = 0 for i.
0, 1/4, 1/2, 1
Let c be ((-2)/(-4))/(3/12). Factor -5*y**3 - y**4 - y**3 - 4*y**3 + 5*y**c + 6*y**4.
5*y**2*(y - 1)**2
Let i(x) be the first derivative of 2*x**3/15 + 2*x**2/5 + 2*x/5 + 67. Factor i(d).
2*(d + 1)**2/5
Let g(f) = -3*f**5 - f**4 - 7*f**3 - 9*f**2 - 5. Let j(n) = -n**5 - 3*n**3 - 4*n**2 - 2. Let k(m) = -6*g(m) + 15*j(m). Factor k(v).
3*v**2*(v - 1)*(v + 1)*(v + 2)
Let o = -6218 + 6221. Factor 12/5*g**5 + 0*g**2 + 16/5*g**4 - 16/5*g**o + 0*g + 0.
4*g**3*(g + 2)*(3*g - 2)/5
Let u be (-855)/(-3465) + -2*(-3)/33. Solve 0*b + u - 3/7*b**2 = 0.
-1, 1
Let c(s) = -5*s**4 - 83*s**3 + 1956*s**2 - 15548*s - 17576. Let n(z) = -z**4 - z**3 + z**2. Let k(o) = -c(o) + 6*n(o). Determine h so that k(h) = 0.
-1, 26
Let m be -9 - 59/59*(-63)/6. Factor 5/2*w - m*w**2 + 0.
-w*(3*w - 5)/2
Let n be ((-2)/(-4))/(1/10). Factor -n*i**2 - 36*i**3 - 32*i**3 + 64*i**3 - 2*i - i**4.
-i*(i + 1)**2*(i + 2)
Let o be 12/(6/(-12 - -15))*3/6. Suppose -3/4*a**4 + 9/4 - 3*a**o + 3*a - 3/2*a**2 = 0. Calculate a.
-3, -1, 1
Let r(w) be the third derivative of 5*w**8/448 + w**7/42 + w**6/60 + 11*w**4/24 + 6*w**2. Let v(c) be the second derivative of r(c). Factor v(m).
3*m*(5*m + 2)**2
Let f(w) be the second derivative of -w**5/40 - w**4/6 - 5*w**3/12 - w**2/2 + 43*w. Let f(v) = 0. Calculate v.
-2, -1
Let i be 95/(-20) - 6/(-8). Let k be i - (324/(-66) - 0). Factor 10/11*m**3 - 4/11*m**2 + 4/11 - k*m.
2*(m - 1)*(m + 1)*(5*m - 2)/11
Let k = 149 - 146. What is m in -6 - k*m**3 + 21 + 21*m**2 - 42*m + 9*m = 0?
1, 5
Let k(j) be the second derivative of -j**4/36 - j**3/6 + 2*j - 25. Factor k(t).
-t*(t + 3)/3
Let p = 2 + 2. Let v = 37 + -35. Factor i**v + p*i - 6*i**2 + 7*i**2 + 2.
2*(i + 1)**2
Let k = -102/35 + 1268/315. Let m be (-56)/18 - 12/(-3). Determine u, given that -k*u**2 - 2/9*u**3 - 16/9*u - m = 0.
-2, -1
Let g = 27607 - 27604. Let o = -21/4 - -109/20. What is k in 0*k**g + 0*k + 1/5*k**4 - 2/5*k**2 + o = 0?
-1, 1
Let z(o) = -2*o**2 + 52*o + 115. Let y be z(28). Factor -34/3*w**2 - 32/3*w - 8/3 - 10/3*w**y.
-2*(w + 1)*(w + 2)*(5*w + 2)/3
Factor 500/7*d + 2/7*d**2 + 31250/7.
2*(d + 125)**2/7
Let u(q) = -237*q**3 + 135*q**2 + 96*q + 12. Suppose -5*y + 13 + 12 = 0. Let j(h) = 238*h**3 - 135*h**2 - 96*h - 12. Let d(f) = y*u(f) + 6*j(f). Factor d(z).
3*(z - 1)*(9*z + 2)**2
Factor -12 + 6*t**2 - 10*t**2 - 2*t**3 - 6*t - 12*t**2 - 21*t + t.
-2*(t + 1)**2*(t + 6)
Let b be 2/(-5) - (-33)/(-5) - 2. Let k be b/5*-1 - 5/(-25). Find a such that -102/11*a**4 + 0 + 6/11*a**k - 26/11*a**3 + 2/11*a - 72/11*a**5 = 0.
-1, -1/3, 0, 1/4
Let d(x) be the first derivative of x**5/80 - x**4/16 + x**3/8 - 2*x**2 + 1. Let y(m) be the second derivative of d(m). Determine o, given that y(o) = 0.
1
Let k be 1*3462/(-15) - -1. Let n = -227 - k. Factor -18/5 - n*i**2 - 2/5*i**3 - 6*i.
-2*(i + 1)*(i + 3)**2/5
Let l(i) be the third derivative of 12*i**2 - 1/20*i**5 + 0*i + 0*i**4 + 0*i**3 + 0. Factor l(t).
-3*t**2
Suppose -4*s + 5 = -3, -2*s = -v - 2. Factor -15*w**2 - 7*w**3 + 23*w**2 + 2*w - 13*w**v.
-w*(w + 1)*(7*w - 2)
Let y be (-4)/(-5)*100/8. Suppose 4*n - y = -n. Factor 90*j - j**2 - 86*j + j**n - 4*j**3.
-4*j*(j - 1)*(j + 1)
Let p(z) be the first derivative of z**4/16 - 3*z**3/2 + 81*z**2/8 - 43. Solve p(r) = 0 for r.
0, 9
Let m be (-24)/(-462)*-11*126/(-20). What is u in -6*u - 2/5*u**3 + m*u**2 - 10 = 0?
-1, 5
Let h(p) be the second derivative of p**6/10 + p**5/20 - 3*p**4 - 10*p**3 - 8*p**2 - 53*p. Factor h(w).
(w - 4)*(w + 2)**2*(3*w + 1)
Let a be (-1)/7 - (-58)/14. Let o(m) be the second derivative of 0 - 2/21*m**3 - 1/42*m**a + 3*m + 0*m**2. Factor o(x).
-2*x*(x + 2)/7
Let t(o) be the first derivative of -o**5/100 - 3*o**4/10 - 18*o**3/5 + 11*o**2/2 + 15. Let p(b) be the second derivative of t(b). Solve p(h) = 0 for h.
-6
Let j(x) be the third derivative of -6*x**7/245 - x**6/10 - 16*x**5/105 - 2*x**4/21 - 3*x**2 + 3*x. Factor j(t).
-4*t*(t + 1)*(3*t + 2)**2/7
Factor -114/7*k - 144/7 - 4*k**2