c + 2)
Let r be 2/(-5) - (-235)/25. Suppose 0 = -4*u + r*u - 10. Factor 2*q**4 - 28*q**3 + 28*q**3 + u*q**5.
2*q**4*(q + 1)
Let d(g) be the second derivative of 2*g**4/3 - g**3/2 - 62*g. Factor d(y).
y*(8*y - 3)
Factor 418*n - 2*n**2 + 11*n**2 - 88 + 215 - 367 - 64*n.
3*(n + 40)*(3*n - 2)
Suppose 0 = -4*r - 3 - 9, 0 = -2*c + 3*r + 29. Factor -10*d**4 - 4*d**3 + 3*d**4 - c*d**4 - d**4.
-2*d**3*(9*d + 2)
Let q(k) = -k**2 - 9*k - 10. Let f be q(-5). Let v(c) = c**2 - 3*c - 3. Let a be v(-2). Determine z so that -3 - z - f*z - z**2 + a*z = 0.
-3, -1
Let f be (-162)/90*3*(-4)/54. Let c(j) be the first derivative of -2/3*j**3 + 4*j - 3*j**2 + 3/2*j**4 + 4 - f*j**5. Determine y so that c(y) = 0.
-1, 1, 2
Let x(y) be the second derivative of y**10/166320 - y**9/41580 + y**8/36960 - 13*y**4/6 - 33*y. Let r(v) be the third derivative of x(v). Factor r(c).
2*c**3*(c - 1)**2/11
Let o(x) be the second derivative of -x**5/20 + 19*x**4/12 + 11*x**3/3 - 20*x**2 + 3*x - 44. What is f in o(f) = 0?
-2, 1, 20
Suppose -3*g - g = -8. Let s = 15692/15 - 1046. Suppose 2/15 - s*q**g + 2/15*q**3 - 2/15*q = 0. Calculate q.
-1, 1
Suppose -5*i = -10, 2*t - 64 = -2*t - 4*i. Determine w, given that -8*w - 3*w**2 + 4*w - t*w - 27 = 0.
-3
Let m(c) = 20*c**3 + 591*c**2 + 565*c + 118. Let o(t) = 4*t**3 + 118*t**2 + 113*t + 24. Let y(w) = 4*m(w) - 22*o(w). Factor y(x).
-2*(x + 28)*(2*x + 1)**2
Suppose -6*s = -2*s. Suppose -4*q + 4*i - 3*i + 3 = s, -i = 3. Factor w**2 - 3*w**4 - w + q + 4*w**4 - 2 + 3*w**3 - 2*w.
(w - 1)*(w + 1)**2*(w + 2)
Let x be (-7)/2*6/126*-9. Let h(v) be the first derivative of -9/2*v**2 - x*v**4 + 13/3*v**3 + 1 + 2*v. Solve h(t) = 0.
1/2, 2/3, 1
Let r(s) = -11*s + 2. Let y be r(-9). Suppose 15*u + y*u**4 + 21*u - 106*u**4 - 25*u**3 - 11*u + 5*u**2 = 0. What is u?
-5, -1, 0, 1
Let x(o) = 3*o - 94. Let y be x(30). Let k be -4 + ((-6)/y)/(6/16). What is d in k - 4/7*d**3 + 0*d - 4/7*d**2 + 3/7*d**4 = 0?
-2/3, 0, 2
Let j(t) = 12*t**2 - 24*t - 44. Let l(w) = 6*w + 9 + 6 + 2*w - 4*w**2. Let x(a) = -3*j(a) - 8*l(a). Suppose x(b) = 0. What is b?
-1, 3
Let f(y) be the first derivative of -5*y**3/12 + 5*y**2/4 - 5*y/4 + 75. Factor f(i).
-5*(i - 1)**2/4
Let d(r) be the third derivative of 0 + 14/45*r**5 + 11/90*r**6 + 1/504*r**8 + 8/315*r**7 + 4/9*r**3 + 5*r**2 + 17/36*r**4 + 0*r. Solve d(g) = 0.
-4, -1
Let n = -2954 - -2956. Solve -2/15 + 0*m + 2/15*m**n = 0 for m.
-1, 1
Factor -1 + 1 + 4*x**5 + 1440*x**3 - 215*x**4 + 371*x**4 - 1589*x**2 - 11*x**2.
4*x**2*(x - 1)*(x + 20)**2
Let z = -8206 - -49039/6. Let u = 2993/78 + z. Determine k, given that -u*k**2 + 0 - 210/13*k**3 - 200/13*k**4 - 8/13*k = 0.
-2/5, -1/4, 0
Let -90/17 + 2/17*z**2 - 24/17*z = 0. Calculate z.
-3, 15
Suppose -4*i = 131 + 57. Let h = i - -51. Factor 2/9*c**h - 2/9 + 4/9*c**3 + 0*c**2 - 4/9*c.
2*(c - 1)*(c + 1)**3/9
Let s(i) be the third derivative of 1/270*i**5 + 1/945*i**7 + 0 + 0*i**4 + 0*i + 3*i**2 + 1/270*i**6 + 0*i**3. What is n in s(n) = 0?
-1, 0
Let w(p) = 4*p + 2. Let f be w(0). Suppose l - 5*i - 13 = 0, 0 = -8*l + 9*l - f*i - 7. Factor -6/5*c**2 + 0 - 8/5*c**l + 0*c.
-2*c**2*(4*c + 3)/5
Suppose 42 = 91*d + 19 - 159. Factor 3*f**2 + 0 + 0*f + 1/3*f**4 + d*f**3.
f**2*(f + 3)**2/3
Let k(q) be the second derivative of q**6/60 + 3*q**5/4 + 75*q**4/8 - 4*q - 1. What is n in k(n) = 0?
-15, 0
Let o(k) = 17*k**2 + 16*k - 34. Let z(h) = -100*h**2 - 95*h + 205. Let a(f) = 35*o(f) + 6*z(f). Factor a(q).
-5*(q - 2)*(q + 4)
Suppose -4*u = -7*u + 333. Let t(q) = -27*q**2 + 3 + 0 - u*q + 78*q. Let p(m) = 7*m**2 + 8*m - 1. Let r(x) = -9*p(x) - 2*t(x). Find k, given that r(k) = 0.
-1, 1/3
Let m(b) be the third derivative of -4*b**6 + b**5/6 + 175*b**4/24 - 5*b**3 - b**2 + 6. Find o, given that m(o) = 0.
-2/3, 3/16, 1/2
Let j be (4/(-7))/((-3)/21). Let w be 14/10*j/14. Suppose 4/5*r**2 + 0 + 0*r**4 + 0*r - 6/5*r**3 + w*r**5 = 0. Calculate r.
-2, 0, 1
Let d be (-4)/18 - 4/(-18). Let y(s) = -s**3 - s**2 + s + 4. Let c be y(d). Factor -9*x**2 + 2*x**4 - 12*x**2 + c*x + 7*x**2 - 4*x**3 + 12*x**4.
2*x*(x - 1)*(x + 1)*(7*x - 2)
Let l(o) be the second derivative of -o**6/90 + 31*o**5/60 - 29*o**4/12 + 85*o**3/18 - 14*o**2/3 + 68*o - 3. Suppose l(b) = 0. Calculate b.
1, 28
Let v = 79 - 53. Suppose 0 = -7*c + 9*c - v. Solve -6*o**2 + c*o**2 + 4*o**3 - 5*o**2 + 2*o**4 = 0 for o.
-1, 0
Let d(i) be the third derivative of i**11/997920 - i**10/151200 + i**9/90720 - 4*i**5/15 + 3*i**2. Let h(b) be the third derivative of d(b). Factor h(f).
f**3*(f - 2)*(f - 1)/3
Let g(l) be the third derivative of -l**6/280 - 11*l**5/70 - 121*l**4/56 - 66*l**2. Factor g(n).
-3*n*(n + 11)**2/7
Let c(d) = d**3 + 4*d**2 - d + 22. Let t(b) = -3*b**2 - 32*b + 6. Let z be t(-11). Let h be c(z). Suppose -u + u**3 - 1/2 + 0*u**h + 1/2*u**4 = 0. What is u?
-1, 1
Let q(a) be the third derivative of 2*a**7/735 + 19*a**6/210 + 10*a**5/21 + 16*a**4/21 - 411*a**2. Factor q(r).
4*r*(r + 1)*(r + 2)*(r + 16)/7
Let z = 6 + 5. Let p(x) = -3*x + 20 - 5 - z + x**2. Let m(k) = 5*k**2 - 13*k + 17. Let f(n) = 2*m(n) - 9*p(n). Factor f(h).
(h - 1)*(h + 2)
Let x(h) be the second derivative of h**7/4410 - h**6/420 + h**4 - 14*h. Let k(z) be the third derivative of x(z). Factor k(r).
4*r*(r - 3)/7
Let z = 534 - 1067/2. Let 0*a**2 + 1/4*a**5 + z*a**4 + 0*a + 0 + 1/4*a**3 = 0. What is a?
-1, 0
Let n(f) be the first derivative of -f**5/40 + f**4/4 + 31*f**3/24 + 11*f**2/8 + 130. Find i such that n(i) = 0.
-2, -1, 0, 11
Let s(w) = -155*w + 10. Let r be s(-24). Factor 10 - 5*v**3 + r*v**2 + 15*v - 3730*v**2.
-5*(v - 2)*(v + 1)**2
Let d(q) = 25*q + 1. Let i be d(3). Let g = i + -76. Solve 1/2*s**5 + g + s - 3/2*s**3 + 1/2*s**4 - 1/2*s**2 = 0 for s.
-2, -1, 0, 1
Let y be (-72)/(-15) + -4 - 72/90. Solve -1/3*n**2 + y - 2/3*n = 0 for n.
-2, 0
Let m be (40/200*1/3)/((-5)/(-30)). Factor m*h**5 + 0*h - 6/5*h**4 + 0 + 4/5*h**3 + 0*h**2.
2*h**3*(h - 2)*(h - 1)/5
Solve -80/7 + 376/7*t - 372/7*t**2 + 130/7*t**3 - 2*t**4 = 0 for t.
2/7, 2, 5
Let j be (-2)/56*-4 + -13 + 94/7. Factor -j*t**2 + 24/7*t + 0.
-4*t*(t - 6)/7
Determine r, given that -201612*r**5 + 18*r + 3*r**2 - 21*r**3 + 201615*r**5 + 0*r**3 - 3*r**4 = 0.
-2, -1, 0, 1, 3
Determine t, given that 87 + 63 - 1839*t**3 + 1838*t**3 - 333*t + 60*t**2 + 336 = 0.
3, 54
Factor -5*k**3 - 88 - 5*k**3 - 451*k + 323*k + 226*k**2.
-2*(k - 22)*(k - 1)*(5*k + 2)
Let i be (12 - 7) + -4*1. Suppose 0 = -5*m - 5, -1 = -o - 3*m + i. Determine z, given that 4*z + o - z**4 - 6*z**2 + 4*z**3 + 3 - 7 - 2 = 0.
1
Let p(g) be the first derivative of g**5/5 + 27*g**4/20 - 10*g**3 + 58*g**2/5 + 72*g/5 - 95. Factor p(q).
(q - 2)**2*(q + 9)*(5*q + 2)/5
Factor -23*j**2 - 79/5*j + 3/5*j**3 + 39/5.
(j - 39)*(j + 1)*(3*j - 1)/5
Let g(m) be the second derivative of m**7/70 - m**6/50 - 27*m**5/100 + m**4/20 + 2*m**3 + 18*m**2/5 - m - 57. Let g(x) = 0. Calculate x.
-2, -1, 2, 3
Let f(z) be the second derivative of z**7/280 + z**6/30 + z**5/8 + z**4/4 - 7*z**3/3 + 20*z. Let k(l) be the second derivative of f(l). Factor k(r).
3*(r + 1)**2*(r + 2)
Let i(g) be the first derivative of g**3/3 - 9*g**2/2 + 8*g + 11. Let q be i(8). Let 3/2*x**2 - 3/2 + q*x = 0. Calculate x.
-1, 1
Let a(c) be the third derivative of c**5/150 - 37*c**4/60 + 73*c**2 + 5*c. Factor a(i).
2*i*(i - 37)/5
Let y(v) be the third derivative of 0*v**3 + 0*v - 1/168*v**8 - 1/30*v**6 + 23*v**2 + 0*v**5 + 0 + 1/36*v**4 - 8/315*v**7. Let y(u) = 0. Calculate u.
-1, 0, 1/3
Let b(j) be the second derivative of 7*j**4/4 + 37*j**3/2 + 3*j - 7. Let i(d) = 5*d**2 + 28*d. Let m(w) = 2*b(w) - 9*i(w). Factor m(z).
-3*z*(z + 10)
Let w(f) be the first derivative of 5*f**5/4 + 5*f**4/16 - 7*f**3/4 - 9*f**2/8 - 116. Factor w(k).
k*(k - 1)*(5*k + 3)**2/4
Let x = 1481/5876 - 3/1469. Factor -x*k**2 + 0 + 1/2*k.
-k*(k - 2)/4
Suppose -4*y + 70 = 5*m, -y + 9 = -m - 13. Suppose -16 = -5*h + 4*g, 0*g + y = -5*g. Factor 1/3*i**4 + h*i**3 + 0*i - 2/3*i**2 + 1/3.
(i - 1)**2*(i + 1)**2/3
Let u = -1559 + 7798/5. Find c such that 0 - 12/5*c + u*c**3 + 0*c**2 = 0.
-2, 0, 2
Let v be (-24)/(-180) + 28/15. Factor 0*b**2 + 0*b**3 - 5*b + 2 - b**3 + b**v + 3*b**2.
-(b - 2)*(b - 1)**2
Let l(i) be the first derivative of 32*i**6/39 + 64*i**5/65 - 51*i**4/13 - 302*i**3/39 - 55*i**2/13 - 12*i/13 + 409. Solve l(f) = 0.
-3/2, -1, -1/4,