*n**2 - 12*n + 4. Let s(v) = 2*d(v) + 5*k(v). Factor s(m).
2*m*(m - 1)*(m + 5)
Let y(g) = g**5 + g + 2. Let o(m) = -2*m**5 - m**3 - 2*m - 5. Let f be (-14)/7 + 2 + 2. Let u(t) = f*o(t) + 5*y(t). Factor u(z).
z*(z - 1)**2*(z + 1)**2
Let j = 576 - 573. Let y(k) be the first derivative of 0*k - 4*k**j - 2*k**2 - 4/5*k**5 + 8 - 3*k**4. Factor y(q).
-4*q*(q + 1)**3
Let o = 232 - 244. Let x be 6/(-10) + o/(-15). Factor x*y + 0 - 1/5*y**2.
-y*(y - 1)/5
Let c be 24/(-56) + 7 - (7 - 1). Factor -2/7*v**2 + c*v - 2/7.
-2*(v - 1)**2/7
Let 28*d + 294 + 2/3*d**2 = 0. Calculate d.
-21
Let k(a) be the first derivative of a**6/3 - 4*a**5 + 12*a**4 - 44*a**3/3 + 7*a**2 - 88. Factor k(d).
2*d*(d - 7)*(d - 1)**3
Suppose -y + 7 = -4*v, -2*y - v - 7 = -3*y. Let r(b) = 10*b**2 + 1 - 4*b + 2 - 2*b. Let k(o) = -7*o**2 + 4*o - 2. Let u(t) = y*k(t) + 5*r(t). Factor u(q).
(q - 1)**2
Let b(k) = 2*k**2 + k + 1. Let n(w) = -17*w**2 - 280*w - 18504. Let p(a) = 8*b(a) + n(a). Determine f so that p(f) = 0.
-136
Let x = -1473 + 1478. Let b(a) be the first derivative of 0*a - 10 + 2/5*a**x - 6/7*a**4 + 2/7*a**3 + 2/7*a**2. Determine v, given that b(v) = 0.
-2/7, 0, 1
Let -360 + 10*v**3 - 5*v**3 - 52*v**2 - 18*v**2 + 285*v = 0. Calculate v.
3, 8
Suppose -3*t + 3 = d + 7, 0 = d - 5*t - 12. Suppose 1/5*y**d + 49/5 + 14/5*y = 0. Calculate y.
-7
Let -3/5*a**3 + 3*a - 18/5 + 6/5*a**2 = 0. Calculate a.
-2, 1, 3
Let a(m) be the third derivative of -2*m**7/105 + m**6/15 + m**5/5 - 4*m**4/3 + 8*m**3/3 - m**2 + 60. Find w, given that a(w) = 0.
-2, 1, 2
Let j(f) = 3*f**5 - 27*f**4 - 5*f**3 + 27*f**2 - 2. Let v(x) = 5*x**5 - 55*x**4 - 10*x**3 + 55*x**2 - 5. Let h(z) = 5*j(z) - 2*v(z). Let h(u) = 0. Calculate u.
-1, 0, 1, 5
Let h be (-136)/510*(-5)/2. Factor 0*t**2 - 1/3*t**3 + t + h.
-(t - 2)*(t + 1)**2/3
Let g(n) be the second derivative of -15*n + 0 + 0*n**2 - 1/15*n**4 + 2/15*n**3. Suppose g(f) = 0. Calculate f.
0, 1
Let 656/5*w - 2*w**2 + 264/5 = 0. Calculate w.
-2/5, 66
Let u(s) = -4*s**4 + 5*s - 3*s**3 - 11*s - 1 - s. Let h(n) = -n**4 - n**3 - n. Let c(x) = -5*h(x) + u(x). What is o in c(o) = 0?
-1, 1
Let f = -2 - -4. Let o(z) = 18*z**2 + 10*z + 2. Let w(j) = 72*j**2 + 39*j + 8. Let a(d) = f*w(d) - 9*o(d). Suppose a(i) = 0. What is i?
-1/3
Let q(g) be the second derivative of g**4/14 - 64*g**3/7 + 3072*g**2/7 - 2*g + 15. Let q(u) = 0. What is u?
32
Let q(i) be the third derivative of 1/10*i**5 + 0*i**4 - 1/40*i**6 + 0*i**3 + 0 + 0*i + 54*i**2. Solve q(o) = 0.
0, 2
Let w(h) = 2*h**2 + 28*h - 74. Let o(z) = -z**2 - 27*z + 69. Let c(b) = 4*o(b) + 3*w(b). Find m such that c(m) = 0.
3, 9
Let r = -22028/5 - -4492. Let d = r + -86. Factor -d*p**4 + 4/5*p**2 + 0*p + 0*p**3 - 2/5.
-2*(p - 1)**2*(p + 1)**2/5
Factor 3 - 8*f + 9/2*f**3 - 103/4*f**2.
(f - 6)*(2*f + 1)*(9*f - 2)/4
Let z(g) = -g**2 + 6*g + 18. Let u be z(8). Factor 64*s**u - 117*s**2 + 65*s**2 + 4 + 16*s.
4*(s + 1)*(3*s + 1)
Suppose 2*t + 4 = -12. Let w be (t/14)/(4/(-14)). Determine j so that 9*j + 3*j + j**w + 2*j**2 + 9 = 0.
-3, -1
Let u(s) be the second derivative of 0 - 7/40*s**5 + 3/4*s**4 + 2*s**2 + 1/60*s**6 - 5/3*s**3 - 30*s. Factor u(g).
(g - 2)**3*(g - 1)/2
Solve -2/11*y**2 - 6/11 + 8/11*y = 0 for y.
1, 3
Suppose 8 = 4*a - 5*n, -1 = a - 3*n - 3. Suppose 3*z**a + 45*z - 3 - 45*z = 0. Calculate z.
-1, 1
Let t(c) = -c**2 - 4*c - 1. Let x be t(-3). Suppose -5*l = -4*r - 7, 0*r - 13 = -3*l - x*r. Suppose 3*k**2 + l*k**2 + 2*k - 5*k**2 - k = 0. What is k?
-1, 0
Let x = -53 + 51. Let y(q) = 2*q**3 + 7*q**2 - q - 3. Let c(b) = -b**3 - 6*b**2 + 2*b + 2. Let t(l) = x*y(l) - 3*c(l). Factor t(d).
-d*(d - 2)**2
Let p(a) = -32*a**3 + 118*a**2 - 80*a. Let y(n) = n**2 - 5*n - 1. Let j(x) = p(x) - 6*y(x). Determine h so that j(h) = 0.
1/4, 3
Suppose 5*w - 5 = -0*m + m, 2*w - 2 = -4*m. Factor m*q - 2*q**3 + 6*q**3 - 2*q**3 - 2*q.
2*q*(q - 1)*(q + 1)
Let a(q) be the first derivative of q**3 + 24*q**2 + 192*q + 23. Solve a(m) = 0 for m.
-8
Factor -1/2*n**3 - 9600*n + 120*n**2 + 256000.
-(n - 80)**3/2
Let n = 3682/7677 + -30/853. Solve -4/9*d**2 + n*d**4 + 0*d - 2/9*d**5 + 0 + 2/9*d**3 = 0.
-1, 0, 1, 2
Factor 2/9*o**4 - 2/9*o**2 + 0 - 4/9*o**3 + 4/9*o.
2*o*(o - 2)*(o - 1)*(o + 1)/9
What is a in 4/13*a**2 + 4/13*a**4 + 2/13*a**5 - 16/13*a**3 - 8/13 + 14/13*a = 0?
-4, -1, 1
Let i(q) be the third derivative of -q**11/221760 - q**10/201600 + q**9/80640 + q**5/10 + 7*q**2. Let g(f) be the third derivative of i(f). Factor g(m).
-3*m**3*(m + 1)*(2*m - 1)/4
Let k be 6*26/(-195)*10/(-64). Factor -15/8*r + 9/8*r**2 - 25/8 - k*r**3.
-(r - 5)**2*(r + 1)/8
Let g(u) be the first derivative of -u**4/7 + 16*u**3/7 + 26*u**2/7 - 297. Suppose g(n) = 0. What is n?
-1, 0, 13
Let h be (6/(-3))/(3 - 4). What is k in 11*k**3 - 9*k**3 + 0*k - 4*k - 2*k**h + 0*k**2 = 0?
-1, 0, 2
Let r be 2 - 1/((-4 - 0)/4). Factor -4*l**5 - 918*l**2 + 918*l**2 + 12*l**r - 8*l**4.
-4*l**3*(l - 1)*(l + 3)
Suppose 0*a = -20*a + 46 + 14. Factor -2/3*f**2 + 0*f + 0 + 2/3*f**a.
2*f**2*(f - 1)/3
Let r(a) be the second derivative of -a**5/50 - 2*a**4/15 - a**3/3 - 2*a**2/5 + 89*a. What is h in r(h) = 0?
-2, -1
Let h(z) be the first derivative of 1/3*z + 28 - 2/9*z**3 + 1/15*z**5 - 1/6*z**2 + 1/6*z**4 - 1/18*z**6. Let h(o) = 0. What is o?
-1, 1
Let w(n) be the third derivative of 1/54*n**4 + 0*n**3 + 1/90*n**5 + 1/540*n**6 - 29*n**2 + 0 + 0*n. Factor w(y).
2*y*(y + 1)*(y + 2)/9
Let z(s) = s**4 - 43*s**3 + 481*s**2 + 1104*s + 573. Let i(c) = -3*c**4 + 130*c**3 - 1443*c**2 - 3312*c - 1720. Let q(b) = -3*i(b) - 8*z(b). Factor q(g).
(g - 24)**2*(g + 1)**2
Let s(o) = -o**3 + o. Let b(h) = -2*h**4 - 2*h**2 - 4*h. Let t(x) = b(x) + 4*s(x). Factor t(n).
-2*n**2*(n + 1)**2
Let m(f) = -4*f**5 - 12*f**4 + 8*f**3 - 4*f - 12. Let u(y) = y**4 + 1. Let l = 28 + -16. Let r(b) = l*u(b) + m(b). Let r(v) = 0. Calculate v.
-1, 0, 1
Let y(g) be the first derivative of -5*g**3 - 21*g**2 - 24*g - 424. Factor y(f).
-3*(f + 2)*(5*f + 4)
Let j(m) be the second derivative of -1/300*m**5 - 1/900*m**6 + 0*m**2 + 0*m**4 + 0 + 5*m - 5/6*m**3. Let u(r) be the second derivative of j(r). Factor u(a).
-2*a*(a + 1)/5
What is z in 40/3 + 4*z - 1/3*z**5 + 1/3*z**3 + 2*z**4 - 34/3*z**2 = 0?
-2, -1, 2, 5
Let k(x) be the third derivative of -x**5/570 - 11*x**4/114 - x**3 + 95*x**2. Determine a, given that k(a) = 0.
-19, -3
Let q(f) be the third derivative of -f**7/490 - 23*f**6/140 - 24*f**5/7 + 144*f**4/7 - 7*f**2 + 16*f. Suppose q(i) = 0. What is i?
-24, 0, 2
Determine p, given that -81*p + 656*p**4 + 14*p**2 + 7*p**2 + 54 + 11*p**3 - 2*p**3 - 659*p**4 = 0.
-3, 1, 2, 3
Suppose -4*y - 3*k = -58, -3*y + 2*k = -k - 54. Let x be y/(-24) + (2 - 30/27). Solve -4/9*f + x*f**2 + 0 = 0.
0, 2
Determine g, given that 64/3*g**3 + 21952/3 + 4/9*g**4 + 1120/3*g**2 + 25088/9*g = 0.
-14, -6
Let s(q) = 7*q**3 + 21*q**2 - 97*q + 75. Let w(b) = -20*b**3 - 64*b**2 + 292*b - 224. Let c(j) = -8*s(j) - 3*w(j). Suppose c(r) = 0. Calculate r.
-9, 1, 2
Suppose 0 = -2980*p + 2961*p. Factor p - 1/5*c**2 - 2/5*c.
-c*(c + 2)/5
Let l(t) = -9*t**3 + 2*t + 1. Let m be l(-1). Let -a + m*a**2 + 2*a**4 - 6*a**3 + 0*a - a - 2*a**2 = 0. What is a?
0, 1
Factor 1250/11 + 2/11*t**2 + 100/11*t.
2*(t + 25)**2/11
Factor 1/3*x**2 + 3844/3 - 124/3*x.
(x - 62)**2/3
Let i = 21981/2 + -10990. Solve -1/2*l**2 - 1/6*l + 0 - 1/6*l**4 - i*l**3 = 0.
-1, 0
Let a(y) = -4*y + 6 + 9 + 2*y + y. Let n be a(13). Let -8*t**4 - t + 6*t**2 + 2*t**n + 0*t - 7*t + 2*t**5 + 6*t**3 = 0. What is t?
-1, 0, 1, 2
Let i(r) be the first derivative of -1/20*r**5 + 0*r**3 - 5 - 1/4*r**4 + 0*r - 1/2*r**2. Let u(c) be the second derivative of i(c). Suppose u(n) = 0. What is n?
-2, 0
Let b(q) be the third derivative of 0 + 0*q - 1/15*q**5 - 17*q**2 + 0*q**3 + 0*q**4. Factor b(o).
-4*o**2
Let a(c) be the second derivative of -10*c + 1/18*c**4 + 0*c**2 + 0*c**3 + 1/10*c**5 + 0. Suppose a(m) = 0. What is m?
-1/3, 0
Let k(q) be the third derivative of -5*q**8/1008 + q**7/90 + 13*q**6/360 - 11*q**5/180 - q**4/9 + 2*q**3/9 - 300*q**2. Solve k(j) = 0 for j.
-1, 2/5, 1, 2
Let p(s) = -s**2 - 2. Let l(a) = 4*a**2 + 10*a. Let o(w) = -l(w) - 6*p(w). Factor o(c).
2*(c - 3)*(c - 2)
Let r(a) be the second derivative of 3*a**5/80 - 55*a**4/8 - a**3/8 + 165*a**2/4 + 2*a + 363. Factor r(b).
3*(b - 110)*(b - 1)*(b + 1)/4
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