u be -1 + -1 + -1 + 704/222. Let d = u + 6/37. Factor 1/2*c**3 + 0*c - 1/6*c**2 + 0 - d*c**4.
-c**2*(c - 1)*(2*c - 1)/6
Let x(v) be the first derivative of -8/5*v**2 + 24/25*v**5 + 8/5*v - 62/15*v**3 + 16 - 7/10*v**4. Determine r so that x(r) = 0.
-1, -2/3, 1/4, 2
Let j = 89/237 - 10/237. Let g(n) be the first derivative of -j*n**6 + 0*n**5 - 3*n**2 + 2*n**4 + 4*n + 1 - 4/3*n**3. Factor g(x).
-2*(x - 1)**3*(x + 1)*(x + 2)
Let n = 31 - 95. Let o = -64 - n. Factor -3/5*j**2 - 2/5*j + 12/5*j**3 - 7/5*j**4 + o.
-j*(j - 1)**2*(7*j + 2)/5
Let b(g) = 8*g**3 + 21*g**2 + 7*g - 21. Let h(j) = j**3 + j**2 - j - 1. Let v(u) = -b(u) + 5*h(u). Factor v(k).
-(k + 2)*(k + 4)*(3*k - 2)
Suppose 37 + 73 = 5*k. Let n be (-2516)/(-30) + (-8)/(-60). Find i, given that -15*i**4 + 6*i**4 - 181*i**2 + 114*i**3 - 12 - 18*i**4 + n*i + k*i**2 = 0.
2/9, 1, 2
Let t be 5/2*48/40. Suppose 5*r + n - t*n - 16 = 0, 5*r + 5*n = -5. Factor -4 + 20*c - 5*c**4 - 49*c**r + 9*c**2 + 25*c**3 + 4.
-5*c*(c - 2)**2*(c - 1)
Suppose -5*r = -12 + 2. Factor -m + 31*m**r - 5 - 38*m**2 - 3*m - 7*m - m**3.
-(m + 1)**2*(m + 5)
Suppose -20*f = -21*f. Let r be (0/(1 + f))/1. Factor -8/5*g + r - 2/5*g**3 + 8/5*g**2.
-2*g*(g - 2)**2/5
Suppose -5*q = 5*m - 10, 20*m + 3*q = 15*m + 14. Let d(a) be the second derivative of -1/100*a**5 - 1/10*a**3 + 0*a**2 + 0 + a + 1/15*a**m. Factor d(k).
-k*(k - 3)*(k - 1)/5
Let l(f) = -2*f**3 - f**2 - 10*f + 4. Let h(a) = a**3 + 2*a**2 - a + 1. Let y(r) = -3*h(r) - l(r). Factor y(d).
-(d - 1)**2*(d + 7)
Let t(c) be the first derivative of -4*c**5 + 55*c**4/4 - 25*c**3/3 - 5*c**2 + 35. Factor t(o).
-5*o*(o - 2)*(o - 1)*(4*o + 1)
Let p(h) = h**2 + h - 2. Let w be p(1). Let c(u) be the third derivative of -1/24*u**4 + 0*u + 1/120*u**5 + w + 3*u**2 + 1/12*u**3. Let c(a) = 0. Calculate a.
1
Suppose 3*h - 6 = -3*t, -2*h = -18*t + 21*t - 3. Determine a so that 0*a**2 + 3/2*a**h - 3/2*a + 3/4*a**4 - 3/4 = 0.
-1, 1
Solve 12920*b**2 + 16*b**3 + 6387*b**2 + 195*b**3 + 343000 + b**4 - 4397*b**2 + 357700*b = 0.
-70, -1
Suppose -16 = -4*n + 2*p, -5*n - p = -4 - 2. Let o(b) be the second derivative of -1/8*b**3 + 0 + 0*b**n + 1/48*b**4 - 10*b. Factor o(a).
a*(a - 3)/4
Suppose -3*m - 48 = -69. Let n(x) be the second derivative of -1/10*x**6 + 0 + 0*x**4 + 5*x + 0*x**2 - 3/10*x**5 + 1/14*x**m + 0*x**3. Factor n(a).
3*a**3*(a - 2)*(a + 1)
Suppose 2*n + 10*x - 5 = 5*x, 5*n - x - 26 = 0. Suppose -5*w + 0 = -2*o + 10, -n*o = 5*w - 25. Factor -2/9*d**4 - 2/9*d - 2/3*d**2 + w - 2/3*d**3.
-2*d*(d + 1)**3/9
Suppose 0 + 1/2*l**4 - 6*l + 3/2*l**3 - 2*l**2 = 0. Calculate l.
-3, -2, 0, 2
Let t be -3*(-3 + 158/54). Let x(a) be the first derivative of 0*a**2 - t*a**3 + 2/3*a + 5. Factor x(v).
-2*(v - 1)*(v + 1)/3
Let n(t) be the second derivative of t**3/6 + t**2/2 - 5*t. Let x be n(2). Factor -3*k - 2*k**2 - 1 - 3*k**5 + 4*k**5 - 2*k**3 + x*k**4 + 4*k**3.
(k - 1)*(k + 1)**4
Let j be 1/(3*3/135). Let k = j + -43/3. Factor 0*a + 0 + 4/3*a**2 + k*a**4 + 2*a**3.
2*a**2*(a + 1)*(a + 2)/3
Let j(f) = f**3 - 7*f**2 - 14*f + 50. Let u be j(8). Factor 4/3*q - 1/3 - q**u.
-(q - 1)*(3*q - 1)/3
Let d(w) = 5*w**2 + 20*w + 18. Let m(s) = 35*s**2 + 140*s + 125. Let j(x) = 15*d(x) - 2*m(x). Suppose j(u) = 0. Calculate u.
-2
Factor 863*a - 2*a**4 + 7 - 19 + 44*a**2 - 2*a**3 + 12 - 783*a.
-2*a*(a - 5)*(a + 2)*(a + 4)
Let z be -5 + -1*1924/91*(-4)/16. Suppose -3*v + 3 = -9. Find m, given that -z*m**v + 2/7*m**3 - 2/7*m + 0 + 2/7*m**2 = 0.
-1, 0, 1
Let q = 169/3 + -623/15. Let r = q - 212/15. Factor -1/3*u**2 - r + 3/2*u.
-(u - 4)*(2*u - 1)/6
Find o, given that -9*o**3 + 12*o**3 + 0 - 8 - o**3 + 5*o**2 + o**2 = 0.
-2, 1
Factor -3*z**4 + 454*z**3 + 26*z**2 + 0*z**5 - z**5 - 9*z**4 - 897*z**3 + 458*z**3.
-z**2*(z - 2)*(z + 1)*(z + 13)
Suppose -r + u = -0*u - 8, u - 17 = -4*r. Let -11*l - 16*l - r*l**2 + 20*l - 2 = 0. Calculate l.
-1, -2/5
Let w be (10/(-36))/((-300)/120). Let -4/9*f - w - 1/3*f**2 = 0. What is f?
-1, -1/3
Let g(y) be the first derivative of 5/3*y**3 - 9 + 0*y + 0*y**2. Find f, given that g(f) = 0.
0
Suppose 0*s = -11*s - 2*s. Let w(r) be the third derivative of 1/6*r**4 - 4/3*r**3 + s - 1/120*r**5 + 0*r + 3*r**2. Solve w(v) = 0.
4
Suppose -2*r + 4 = 0, 2*u + 2*r = -u + 16. Suppose -2*s - 5*x + 4 = -0, -5*x = 0. Find g, given that 5*g**4 + g**4 + s*g**3 - 4*g**u = 0.
-1, 0
Let g(w) be the third derivative of -w**7/2240 + w**6/240 - 3*w**5/320 - w**3/3 - 2*w**2. Let q(k) be the first derivative of g(k). Let q(f) = 0. What is f?
0, 1, 3
Let y = -97 + 99. Determine q so that 27*q**2 + 28*q**2 + 25*q**y - 75*q**2 = 0.
0
Let p be 14 - 11 - 8/(-2). Let -6 - p - 20*y - 20*y**2 + 20*y**3 + 21 + 12*y**4 = 0. What is y?
-2, -1, 1/3, 1
Let s = 11 - 17. Let d be 0 - 6/3 - s. Factor 78*t**3 - 16*t + 4*t - 8*t + 60*t**2 + 21*t**d - 4*t.
3*t*(t + 2)**2*(7*t - 2)
Factor -39/4*r + 63/2 + 3/4*r**2.
3*(r - 7)*(r - 6)/4
Let x = -81281/3 - -27127. Determine j, given that -20/3*j + x + 1/3*j**2 = 0.
10
Let m(w) = -w**2 - 6*w + 7. Let d(h) be the third derivative of h**4/8 - h**3/2 + 8*h**2. Let q be (-2)/(-6) + 42/9. Let y(z) = q*d(z) + 3*m(z). Factor y(r).
-3*(r - 1)*(r + 2)
Let y(r) be the second derivative of -r**7/280 + 11*r**6/120 - r**5 + 6*r**4 + 20*r**3/3 - 47*r. Let c(z) be the second derivative of y(z). Factor c(u).
-3*(u - 4)**2*(u - 3)
Solve -14*z - 3*z**2 + 7/2*z**3 - 1/2*z**4 + 20 = 0.
-2, 2, 5
Let x be (-3 - (-15)/3)*13. Let m = -15 + x. Factor 0*c**2 - c**2 + 9*c**3 - m*c**3 - c**4.
-c**2*(c + 1)**2
Let u(w) = -w**3 + w**2 - 4*w - 4. Let x(a) = -2*a**3 + a**2 - 4*a - 4. Let d(i) = 3*u(i) - 2*x(i). Factor d(q).
(q - 2)*(q + 1)*(q + 2)
Suppose 8 + 7 = 5*x. Determine b, given that -12*b**3 - 30*b - x - 1 + 10*b - 28*b**2 = 0.
-1, -1/3
Let m = -343 + 347. Let t(f) be the first derivative of 1/2*f**m - 4/3*f**3 + 0*f - 6 + 0*f**2 + 2/5*f**5. Solve t(z) = 0 for z.
-2, 0, 1
Let d be 1/(2/(-3) + 446/660). Let p be (-360)/d*(-3)/6. Find v, given that 18/11*v**2 + 4/11*v**3 + 0 - 4/11*v - p*v**4 = 0.
-1, 0, 2/9, 1
Let c(u) be the third derivative of u**6/480 + 7*u**5/240 - u**4/12 + 3*u**2 - 55. Factor c(n).
n*(n - 1)*(n + 8)/4
Suppose -w + 1 = 7. Let a = w - -8. Factor 0*t**a - t**3 + 2*t**2 - 3*t**5 + 10*t**3 + 4*t**2.
-3*t**2*(t - 2)*(t + 1)**2
Let u(j) be the third derivative of -j**10/100800 + j**9/10080 + 11*j**5/60 - 37*j**2. Let x(k) be the third derivative of u(k). Factor x(m).
-3*m**3*(m - 4)/2
Let a = -56/83 - -307/332. Let 0*k**4 + 0*k**2 - 1/4*k**5 + 0 + a*k**3 + 0*k = 0. Calculate k.
-1, 0, 1
Let c(g) be the third derivative of -g**8/3360 - g**4/3 + 4*g**2. Let f(v) be the second derivative of c(v). Find z, given that f(z) = 0.
0
Suppose 5*d - 5 = 5. Let m be -11 + 8 + 6/d. Factor -2*l**2 + m - 4/5*l + 2/5*l**4 + 2/5*l**5 - 6/5*l**3.
2*l*(l - 2)*(l + 1)**3/5
Let k(y) be the third derivative of y**6/240 - y**5/120 - y**4/8 + 30*y**2. Factor k(d).
d*(d - 3)*(d + 2)/2
Let r(o) be the second derivative of -o**8/11760 + o**7/2205 + o**6/1260 - o**5/105 - 4*o**4/3 - o. Let x(l) be the third derivative of r(l). Factor x(f).
-4*(f - 2)*(f - 1)*(f + 1)/7
Find n, given that 9*n + 4070*n**2 + 6*n - 2035*n**2 - 2034*n**2 + 26 = 0.
-13, -2
Let y(t) be the third derivative of t**6/600 + t**5/300 - 143*t**2. Find q, given that y(q) = 0.
-1, 0
Let s(y) be the first derivative of 2*y**5/45 - 4*y**4/9 + 10*y**3/27 + 14*y**2/9 + 469. Factor s(x).
2*x*(x - 7)*(x - 2)*(x + 1)/9
Let y(k) = 3*k**3 + 318*k**2 + 11022*k + 128622. Let o(b) = b**2 - b - 1. Let m(t) = -3*o(t) + y(t). Factor m(c).
3*(c + 35)**3
Factor 0*z - 13*z**3 + 0 + 0*z**2 - 1/3*z**4.
-z**3*(z + 39)/3
Factor 20/7 + 8*o - 8/7*o**3 + 4*o**2.
-4*(o - 5)*(o + 1)*(2*o + 1)/7
Suppose -5*z + 8*w = 6*w - 8, -w - 7 = -4*z. Determine f, given that -2/15*f**z + 8/15 + 2/5*f = 0.
-1, 4
Let -7*k - 20*k + 42 + 3*k**2 + 3*k**2 - 3*k**2 = 0. Calculate k.
2, 7
Let p(h) be the third derivative of 0 - 9/4*h**3 + 21*h**2 + 0*h - 7/40*h**5 + 1/80*h**6 + 15/16*h**4. Suppose p(t) = 0. Calculate t.
1, 3
Let b(w) be the second derivative of -5*w**7/14 - 3*w**6/10 + 21*w**5/20 + 3*w**4/4 - w**3 + w + 13. Determine n so that b(n) = 0.
-1, 0, 2/5, 1
Suppose 0*w + 2/21*w**5 + 0 + 34/21*w**3 - 20/21*w**4 - 16/21*w**2 = 0. What is w?
0, 1, 8
Let x(a) be the second derivative of -a**9/2268