ctor o(r).
(r - 1)**3*(r + 7)
Let k(l) be the second derivative of 1/6*l**4 - 1/45*l**6 - 2/9*l**3 - 4*l + 0 + 0*l**5 + 0*l**2. Determine v, given that k(v) = 0.
-2, 0, 1
Let d(h) be the first derivative of h**6/5 - 306*h**5/25 + 1701*h**4/10 + 4366*h**3/5 + 648*h**2/5 - 17496*h/5 - 505. Suppose d(z) = 0. What is z?
-2, 1, 27
Suppose -45903 + 45873 = -15*f. Factor 2/5*d - 2/15*d**f + 0.
-2*d*(d - 3)/15
Factor -184*s**5 + 8*s**4 + 6*s**2 - 14*s**2 + 180*s**5 + 0*s + 6*s - 2*s.
-4*s*(s - 1)**3*(s + 1)
Let o = 23 - 76. Let a = 53 + o. Factor a - 1/3*c - 1/6*c**2.
-c*(c + 2)/6
Let b = -20 - -12. Let y = 11 + b. Solve -9*k**3 + 11*k**3 + 3*k - 5*k**y + 0*k + 6*k**2 - 6 = 0 for k.
-1, 1, 2
Let z = 9 - -46. Find d such that 85*d**3 - 176*d**4 + 9 + 1 - 4*d**4 - 30*d + 170*d**2 - z*d = 0.
-1, 2/9, 1/4, 1
Let k(a) be the first derivative of a**4 + 2/5*a**5 - 2*a**2 + 0*a**3 - 14 - 2*a. Factor k(s).
2*(s - 1)*(s + 1)**3
Let v(n) be the second derivative of -3*n**6/25 + n**5/50 + 3*n**4/10 - n**3/15 - 2*n + 4. Determine k, given that v(k) = 0.
-1, 0, 1/9, 1
Suppose 3*n - 26 = 5*o, -3*o - 26 + 6 = -4*n. Let -2/3*c**2 - 10/3*c**3 + 2/3*c + 0 - n*c**4 = 0. What is c?
-1, 0, 1/3
Let y(d) be the first derivative of d**6/3420 + d**5/380 + d**4/114 + 29*d**3/3 + 11. Let x(p) be the third derivative of y(p). Factor x(v).
2*(v + 1)*(v + 2)/19
Let p(d) be the third derivative of d**7/420 - d**6/36 + d**5/15 - 5*d**3/3 - 20*d**2. Let y(a) be the first derivative of p(a). Factor y(u).
2*u*(u - 4)*(u - 1)
Let t(j) = -2*j**2 + 15*j - 24. Let w be t(3). Factor 9/4*a**2 + 0 + 0*a + 3/4*a**w.
3*a**2*(a + 3)/4
Let r(c) be the third derivative of c**5/480 - 11*c**4/24 + 121*c**3/3 + 48*c**2. Let r(d) = 0. What is d?
44
Let r be (-924)/8778 + 2*82/114. Suppose -r*s**2 + 0 + 4/3*s = 0. What is s?
0, 1
Let t(p) = -5*p**2 - 5*p + 4. Let a be t(-2). Let q be (-13)/(-8) + 9/a. Find s, given that -1/8*s + 1/8*s**2 - q + 1/8*s**3 = 0.
-1, 1
Suppose -19*z = -11*z + 48. Let m be z/(-54) + 103/45. Factor 2/5*b**3 - 16/5 - m*b**2 + 24/5*b.
2*(b - 2)**3/5
Factor 1331*k**4 - 6744*k + 1261*k**4 + 12780*k**3 + 30248*k - 5408 + 108*k**5 - 32792*k**2.
4*(k + 13)**2*(3*k - 2)**3
Let k(g) be the second derivative of -g**9/22680 + g**8/13440 + g**7/15120 - g**4/12 + g. Let d(j) be the third derivative of k(j). Factor d(m).
-m**2*(m - 1)*(4*m + 1)/6
Let h(l) be the first derivative of 29 + 2/3*l**2 + 4/3*l + 1/9*l**3. Let h(n) = 0. What is n?
-2
Factor 12*n**2 - 19678*n - 76 + 19978*n + 4*n**2.
4*(n + 19)*(4*n - 1)
Determine g so that 41334/7*g + 498/7*g**2 + 1143574/7 + 2/7*g**3 = 0.
-83
Let k(z) = 28*z**2 - 83*z + 66. Let n(h) = -29*h**2 + 84*h - 68. Let c(r) = -4*k(r) - 3*n(r). Factor c(a).
-5*(a - 2)*(5*a - 6)
Let f(g) = 15*g**4 - 265*g**3 - 935*g**2 - 1090*g - 335. Let m(p) = 2*p**4 - 33*p**3 - 117*p**2 - 136*p - 42. Let l(z) = 3*f(z) - 25*m(z). Factor l(v).
-5*(v - 9)*(v + 1)**3
Let i(z) be the first derivative of 16*z**4/3 - 320*z**3/27 + 62*z**2/9 - 14*z/9 + 19. Factor i(u).
2*(4*u - 1)**2*(6*u - 7)/9
Suppose 92 - 84 = 2*q. Let u(o) be the second derivative of -1/6*o**q + 0 - 1/9*o**3 - 1/15*o**5 + 5*o + 0*o**2. Factor u(a).
-2*a*(a + 1)*(2*a + 1)/3
Let u(z) be the second derivative of -z**10/45360 + z**9/7560 - z**8/3360 + z**7/3780 - 29*z**4/12 - 3*z. Let y(d) be the third derivative of u(d). Factor y(x).
-2*x**2*(x - 1)**3/3
Suppose 0 = -5*c + 1 + 9. Factor 5*o**2 - 6*o**4 + 5*o**3 - c*o - 3*o + o**4.
-5*o*(o - 1)**2*(o + 1)
Suppose 6*n = -12 + 24. Let s(a) be the second derivative of 0 + 1/21*a**7 + 0*a**4 + 1/3*a**3 + 0*a**6 - 1/5*a**5 + a + 0*a**n. Factor s(r).
2*r*(r - 1)**2*(r + 1)**2
Let n(u) be the third derivative of u**7/105 - u**6/30 - 2*u**5/5 + 3*u**4/2 + 9*u**3 + 2*u**2 - 160. Factor n(y).
2*(y - 3)**2*(y + 1)*(y + 3)
Let a(h) be the second derivative of 2/15*h**3 - 2/15*h**4 + 0 + 1/25*h**5 + 0*h**2 + 6*h. What is t in a(t) = 0?
0, 1
Let b(n) be the second derivative of 15*n - 2/9*n**2 + 0 + 1/18*n**4 + 1/27*n**3. Factor b(z).
2*(z + 1)*(3*z - 2)/9
Determine r so that -347*r**3 + 1910*r + 3530*r + 1800*r**2 + 249*r**3 - 17280 - 1120*r + 268*r**3 + 5*r**4 = 0.
-12, 2
Let a = 3057/5 - 611. Factor 2/5*t + 0 + a*t**2.
2*t*(t + 1)/5
Let c(a) be the first derivative of 4 - 2/3*a**5 + 4/9*a**3 + 2*a + a**4 + 1/9*a**6 - 7/3*a**2. Suppose c(j) = 0. Calculate j.
-1, 1, 3
Let i be 2 - (13/8 + 0). Let t = 2/117 + 101/936. Determine q so that -i*q + t*q**2 + 1/8*q**4 + 3/8*q**3 - 1/4 = 0.
-2, -1, 1
Let s(w) = 12*w**2 + 48*w + 192. Let g(r) = -2*r**2 + 2*r + 1. Let x(h) = -4*g(h) - s(h). Find u, given that x(u) = 0.
-7
Let l(m) be the first derivative of -m**3/15 + 177*m**2/5 - 31329*m/5 - 502. Solve l(u) = 0.
177
Let s(x) = x**3 - 10*x**2 + 9*x + 2. Let k = -13 - -22. Let z be s(k). Factor 6*g - 41*g**z - 26 + 51*g**2 + 8 + 2*g**3.
2*(g - 1)*(g + 3)**2
Suppose 14*v - 32*v = -36. Let s be (v/30*4)/((-6)/(-9)). Determine w, given that 8/5 + s*w**2 + 2*w = 0.
-4, -1
What is y in -320/3*y - 1748/3*y**2 - 1444/3*y**3 - 16/3 = 0?
-1, -2/19
Let i(a) be the second derivative of -a**7/42 + a**6/15 + 9*a**5/80 - a**4/3 - 7*a**3/24 + 3*a**2/4 - a - 75. Find n such that i(n) = 0.
-1, 1/2, 3/2, 2
Let z(x) be the first derivative of x**6/51 - 4*x**5/85 - x**4/17 + 16*x**3/51 - 7*x**2/17 + 4*x/17 + 92. Let z(m) = 0. Calculate m.
-2, 1
Let f(r) = -19*r + 194. Let u be f(10). Let k(l) be the second derivative of -5*l + 1/6*l**u + 0*l**2 + 0 + 0*l**3. Factor k(m).
2*m**2
Let j(z) be the second derivative of -z**6/90 - z**5/12 - z**4/4 - 7*z**3/18 - z**2/3 - 2*z - 15. Factor j(n).
-(n + 1)**3*(n + 2)/3
Let r be (10*((-48)/(-20))/6)/2. Suppose -46 = -24*z + r. Factor 3/2*a**z - 3/2 - 3/2*a + 3/2*a**3.
3*(a - 1)*(a + 1)**2/2
Let l = -51 - -56. Let 40*c**l + 69*c**2 + 120*c**4 + 40*c**5 - 589*c**2 - 375*c - 90 - 195*c**3 = 0. What is c?
-1, -3/4, 2
Let w(j) be the third derivative of -j**8/112 + j**7/70 + j**6/40 - j**5/20 + 314*j**2. Factor w(z).
-3*z**2*(z - 1)**2*(z + 1)
Let j(k) = 143*k - 572. Let l be j(4). Factor 0 - 2/5*o**4 + l*o**3 + 6/5*o**2 + 4/5*o.
-2*o*(o - 2)*(o + 1)**2/5
Let p(l) be the second derivative of l**5/20 - 11*l**4/12 - 7*l**3/3 + 13*l**2 - 10*l. Let b be p(12). Factor 8/5*o**b + 0*o + 0 - 4/5*o**3.
-4*o**2*(o - 2)/5
Let h = 13302 - 13302. Find p such that 6/5*p + h - 2/5*p**2 = 0.
0, 3
Factor -1/3*s**4 + 15*s**3 + 1/3*s**2 - 15*s + 0.
-s*(s - 45)*(s - 1)*(s + 1)/3
Suppose -1/9*y**2 + 1/9*y**3 - 8/9 - 10/9*y = 0. What is y?
-2, -1, 4
Let d(c) = -c**3 + 3*c**2 - c. Suppose f = -0*f + 2. Let u be d(f). Factor 7*b**2 + 18*b**u - 45*b**3 - 6*b - 12*b**2 + 26*b**2.
-3*b*(3*b - 2)*(5*b - 1)
Suppose -290*x + 155 = -237 - 188. Solve 19/5*l**x + 2/5 - 11/5*l + 3/5*l**4 - 13/5*l**3 = 0 for l.
1/3, 1, 2
Let x(s) be the first derivative of -s**3/9 + 4*s**2/3 + 72. Determine z so that x(z) = 0.
0, 8
Let j = 24 - 19. Suppose 2*l - 4*l - 8 = -4*c, 4*c - j*l = -4. Factor 36*v**c - 2/3*v + 0 - 18*v**5 - 24*v**3 + 20/3*v**2.
-2*v*(v - 1)*(3*v - 1)**3/3
Let z(h) be the first derivative of -2*h**6/105 + 8*h**5/35 - 6*h**4/7 + 54*h**2/7 + 2*h + 4. Let b(j) be the first derivative of z(j). What is k in b(k) = 0?
-1, 3
Let d = -2656 - -15937/6. Let u(b) be the first derivative of d*b**3 + 10 + 3/4*b**2 + b. Factor u(o).
(o + 1)*(o + 2)/2
Let m(d) be the third derivative of d**8/112 - 5*d**7/84 + 11*d**6/120 - d**5/40 - 30*d**2 - 3*d. Find a, given that m(a) = 0.
0, 1/6, 1, 3
Let h be 10/8 - (-75)/100. Factor 2/19*b**4 - 4/19*b**h + 2/19 + 4/19*b**3 - 2/19*b**5 - 2/19*b.
-2*(b - 1)**3*(b + 1)**2/19
Let g(d) be the first derivative of 5*d**4/4 - 110*d**3/3 - 608. Factor g(o).
5*o**2*(o - 22)
Factor 30*f - 8*f**3 - 13*f**3 - 4*f**2 + 16*f**3 - 3*f**2 + 2*f**2.
-5*f*(f - 2)*(f + 3)
Let p(j) be the third derivative of j**9/30240 - j**8/1680 + j**7/280 + j**5/15 - 24*j**2. Let z(h) be the third derivative of p(h). Solve z(b) = 0.
0, 3
Let i(x) be the second derivative of 23*x**4/18 + 7*x**3/3 - 2*x**2/3 - 75*x. Factor i(d).
2*(d + 1)*(23*d - 2)/3
Let c(r) be the third derivative of -1/100*r**5 - 32*r**2 + 0*r + 0 + 1/15*r**3 - 1/120*r**4. Suppose c(y) = 0. Calculate y.
-1, 2/3
Factor -188*w - 179*w**2 + 69*w**3 - 101*w**3 + 60 - 21*w**2.
-4*(w + 5)*(2*w + 3)*(4*w - 1)
Suppose 68*f**2 + 7126 - 7050 + 148