 Let v(x) be the third derivative of x**5/20 - x**4/6 + x**3/6 + 41*x**2. Let h(c) = -5*l(c) - 3*v(c). Let h(p) = 0. What is p?
-3, 1
Solve 102 - 23*j**2 + 8*j**2 - 53 - 64 + 50*j = 0 for j.
1/3, 3
Let s(v) be the third derivative of v**8/60480 + v**7/1890 + v**6/135 + 17*v**5/60 + 15*v**2. Let a(z) be the third derivative of s(z). Factor a(k).
(k + 4)**2/3
Suppose 2*q - 5*o = 4*q + 13, -3*q = -2*o - 28. Suppose 14 = 5*y - q. Suppose 2*f**2 + 3*f**3 - y - 2 + 2 + 5*f**2 = 0. Calculate f.
-2, -1, 2/3
Suppose 30*l**2 - 4*l - 25*l**2 + l + 3*l = 0. What is l?
0
Let d = 72 + -69. Factor d*j**2 - 9*j**3 + 4*j**3 + 9 - 15*j + 8*j**3.
3*(j - 1)**2*(j + 3)
Suppose -2*k + 5*m + 15 = 0, 3*m - m + 6 = 0. Factor k + 0*c - 4/9*c**3 + 0*c**2 + 2/9*c**4.
2*c**3*(c - 2)/9
Let d(r) = 6*r**2 - 60*r - 98. Let m(y) = -11*y**2 + 62*y + 99. Let j(b) = 3*d(b) + 2*m(b). Factor j(z).
-4*(z + 2)*(z + 12)
Let s(n) = n**2 + 4*n + 1. Let x(c) = c**2 + 3*c. Let f be 72/84*((-21)/2)/(-3). Suppose 2*b = 6*b + 8. Let l(g) = b*s(g) + f*x(g). What is w in l(w) = 0?
-2, 1
Suppose 3*w + 5*h = -10, 0*w + 3*h + 6 = 2*w. Suppose 0 = -4*f - 2*j - 0*j + 16, w = 5*f - 2*j - 20. Factor -4*a**2 - 3*a + f*a**3 - 4 + 4 - a + 4*a**4.
4*a*(a - 1)*(a + 1)**2
Let x(a) = -8*a**4 - 12*a**3 + 6*a**2 + 6*a + 6. Let w(v) = -2*v**2 + v + 3*v**2 + 15*v**4 + 1 - 8*v**4 - 8*v**4. Let d(k) = 6*w(k) - x(k). Factor d(r).
2*r**3*(r + 6)
Suppose 2*j - 13 = b + 3, 3*j = 2*b + 33. Let f be (-9)/(-27)*b/(-10). Factor 0*n**3 - 8/5*n - f + 1/5*n**4 - 6/5*n**2.
(n - 3)*(n + 1)**3/5
Suppose 1/5*i**4 - 2/5*i**3 - 3*i**2 + 36/5*i + 0 = 0. What is i?
-4, 0, 3
Let a be 6 - (6 - (5 + -1)). Find y, given that 13 - y**a - 20*y**2 - 26*y**2 + 12*y**3 + 60*y - 38 = 0.
1, 5
Suppose -4*d = -2*d - 5*d. Factor d*b**3 + 4394 + 112*b**2 + 2*b**3 + 1014*b - 34*b**2.
2*(b + 13)**3
Factor -6/5*l**4 + 0 + 4*l**3 + 0*l + 16/5*l**2.
-2*l**2*(l - 4)*(3*l + 2)/5
Let q = -14261/5 - -2854. Determine o so that -11/5*o**4 - 2/5*o + 11/5*o**2 - 7/5*o**3 + q*o**5 + 0 = 0.
-1, 0, 2/9, 1
Suppose 0 = 27*p + 150 - 42. Let w(l) = 5*l**2 - 4*l. Let n be (1 + 0 + -2)/1. Let z(s) = -s**2 + s. Let q(a) = n*w(a) + p*z(a). Factor q(b).
-b**2
What is y in -34/13*y**3 + 16/13*y**2 - 12/13 + 46/13*y + 8/13*y**4 = 0?
-1, 1/4, 2, 3
Let y = -1/18751 - -450037/243763. Factor -y*o + 72/13 + 2/13*o**2.
2*(o - 6)**2/13
Suppose 14 = 5*z - 6. Let n be ((-96)/(-21) + -4)*7. Factor 12*f + 14*f**z + 5 + 4*f**3 - 10*f**n - 20*f**2 - 5.
4*f*(f - 1)**2*(f + 3)
Find f such that 1/2*f**5 + 48*f + 3/2*f**3 + 73/2*f**2 + 18 - 9/2*f**4 = 0.
-1, 6
Let w(a) be the second derivative of -a**6/10 + 69*a**5/10 - 573*a**4/4 + 506*a**3 - 726*a**2 - 82*a - 1. Determine r, given that w(r) = 0.
1, 22
Let v = -73 - -53. Let z be (-5 + (-96)/v)*-2. Factor -32/5 - z*l**2 + 16/5*l.
-2*(l - 4)**2/5
Let t be 4/38 - (-2576)/798. Let a(w) be the first derivative of 2*w**4 + 2/5*w**5 - 3 + t*w**3 + 2*w**2 + 0*w. Factor a(l).
2*l*(l + 1)**2*(l + 2)
Let q be 46/14 + (-8)/28. Suppose 0 = -5*f - 10, q*f + 86 = 4*z + 12. Factor 3*x**2 + z + 5*x + 10 + 17*x - 4*x.
3*(x + 3)**2
Let 22/17*a**2 - 18/17*a**3 + 0 + 2/17*a**4 + 42/17*a = 0. What is a?
-1, 0, 3, 7
Let b(u) be the third derivative of -u**8/112 - 2*u**7/35 - u**6/10 + 38*u**2. Factor b(r).
-3*r**3*(r + 2)**2
Suppose -5*y + 20 = 4*i, -7*y - 4*i = -3*y - 16. Let o(z) be the first derivative of -1 + 1/5*z**5 + 0*z**2 + 1/3*z**3 + 0*z - 1/2*z**y. Factor o(n).
n**2*(n - 1)**2
Let d be 3/4 + (-22)/8. Let x be 18*2 - (1 - d). Determine n, given that -x*n**2 - n + 4 + 31*n**2 - n = 0.
-2, 1
Find u such that -14/3*u**4 - 2/3*u**5 + 46/3*u**2 - 32/3 - 14/3*u**3 + 16/3*u = 0.
-4, -1, 1
Let k = -91 - -75. Let a be k/(-6) + 44/(-66). Factor 2/15*i**3 + 0 - 2/15*i**a + 0*i.
2*i**2*(i - 1)/15
Let k(s) = 6*s**2 - 8*s + 6. Let n be k(1). Let t(r) be the third derivative of 1/40*r**6 + 0*r - r**2 + 2*r**3 - 1/2*r**n + 0 - 1/20*r**5. Factor t(p).
3*(p - 2)*(p - 1)*(p + 2)
Let v(z) be the second derivative of z**5/130 - 5*z**4/39 - 37*z**3/39 - 2*z**2 + 25*z + 1. Factor v(b).
2*(b - 13)*(b + 1)*(b + 2)/13
Let p(a) be the first derivative of a**3/3 - 17*a**2/2 + 72. Factor p(v).
v*(v - 17)
Suppose 22*i - 33 = 19*i. Suppose i*s + 14 = 58. Solve -c + 1/4*c**s + 2*c**2 - 5/4*c**3 + 0 = 0 for c.
0, 1, 2
Let a be 2*(4 + 92/(-24)). Factor -4/3*i**4 - a*i**5 + 0 - 1/3*i - 2*i**3 - 4/3*i**2.
-i*(i + 1)**4/3
Let p be (4/(-3))/(4/(-24)*4). Suppose -4*a - 3 = -3*o, o + 0 = 4*a + 1. Solve a*w**p - 2/5*w**5 - 2/5*w**4 + 0*w**3 + 0*w + 0 = 0.
-1, 0
Suppose r = -2*o + 2, -3*o - 2*o = 3*r - 3. Factor 7*u**4 - 3*u**2 + 3*u**3 - 4*u**4 - o*u**2.
3*u**2*(u - 1)*(u + 2)
Let r(d) be the second derivative of -d**6/1440 - d**5/120 - 4*d**3/3 - 45*d. Let v(k) be the second derivative of r(k). Find x such that v(x) = 0.
-4, 0
Let k(q) = -q**2 - 3. Let l be (9/(-15))/((-5)/50). Let w = 13 - l. Let j(r) = -3*r**2 - r - 10. Let t(y) = w*k(y) - 2*j(y). Factor t(f).
-(f - 1)**2
Suppose 3*z - 22 = -8*z. Suppose 5*y = z*h + 10, -5*h + 13 = 3*y - 6*y. Solve 0*k**3 - 2/3*k**y + 0 + 2/3*k**2 - 1/3*k**5 + 1/3*k = 0.
-1, 0, 1
Let s be 38/(-2) - (-1 + 3). Let f be s/(-45) + (-4)/(3 + 9). Factor -4/15*h**2 + 2/15*h**4 + 0 + 0*h - f*h**3.
2*h**2*(h - 2)*(h + 1)/15
Let r(u) = u**2 - 13*u + 12. Let m(a) = -a**2 + 9*a - 6. Let o be m(6). Let h be r(o). Suppose -6/7*x**3 + 0*x + 0 + 3/7*x**4 + h*x**2 = 0. What is x?
0, 2
Let q(y) be the second derivative of -y**6/135 - y**5/30 + 2*y**4/9 + 20*y**3/27 - 16*y**2/3 + 13*y. Let q(h) = 0. Calculate h.
-4, -3, 2
Let f(p) be the first derivative of 0*p - 9/14*p**2 - 3/28*p**4 + 16 + 4/7*p**3. Factor f(m).
-3*m*(m - 3)*(m - 1)/7
Let r(k) = -14*k - 150. Let u be r(-11). Let a(w) be the third derivative of 1/12*w**3 + 0*w - 1/48*w**u - 7*w**2 - 1/80*w**6 + 0 - 1/24*w**5. Factor a(x).
-(x + 1)**2*(3*x - 1)/2
Let j(z) be the first derivative of z**5/15 + z**4/3 - 3*z**2/2 + 6. Let y(x) be the second derivative of j(x). Let y(p) = 0. Calculate p.
-2, 0
Let r(m) = 7*m + 103. Let v be r(-14). Factor 2/5*l**v + 16/5 + 2/5*l**3 - 4*l**2 + 8/5*l**4 - 8/5*l.
2*(l - 1)**2*(l + 2)**3/5
Solve 1/7*x**2 + 10000/7 + 200/7*x = 0 for x.
-100
Let l(p) be the first derivative of 5*p**4/4 - 40*p**3/3 + 105*p**2/2 - 90*p - 129. Factor l(z).
5*(z - 3)**2*(z - 2)
Factor 3 + 33*s**2 - 17 - 20*s - 6 - 38*s**2.
-5*(s + 2)**2
Factor 0 - 50*b + 0 - 196*b**2 + 201*b**2.
5*b*(b - 10)
Let j = 14670 + -14668. Solve -2/5*d**5 - 6/5*d**3 + 0*d + 0 + 18/5*d**2 - j*d**4 = 0 for d.
-3, 0, 1
Let h be 44*3/36 + -3 - -2. Solve -h + 8/3*w - 2/3*w**2 = 0 for w.
2
Let o(v) be the first derivative of v**5/5 + 2*v**4/3 - 14*v**3/3 + 8*v**2 + 9*v + 9. Let m(d) be the first derivative of o(d). Determine s so that m(s) = 0.
-4, 1
Let r = -3 + 2. Let m = r + 5. Factor o**3 + 0*o**3 - 2*o**3 - m*o - 4*o**2.
-o*(o + 2)**2
Let b(h) be the first derivative of 0*h**3 + 0*h + 1/4*h**4 + 0*h**2 - 14 - 1/6*h**6 + 0*h**5. What is g in b(g) = 0?
-1, 0, 1
Let d be ((-10)/100)/(5*-2). Let c(m) be the third derivative of -1/50*m**5 + 0*m + 0*m**3 + 9*m**2 - d*m**6 + 0 - 1/60*m**4 - 1/525*m**7. Factor c(j).
-2*j*(j + 1)**3/5
Suppose -2*o - 49 = -0*l - 3*l, -4*o - l - 91 = 0. Let p be 10/(-35) - o/7. Let 1/2*j**p + 2*j**2 + 5/2*j + 1 = 0. Calculate j.
-2, -1
Factor -40/3 - 6*d**2 + 16*d + 2/3*d**3.
2*(d - 5)*(d - 2)**2/3
Let s be (((-120)/(-35))/(-6))/(30/(-105)). Factor -1/8*d + 0 + 1/8*d**3 - 1/8*d**s + 1/8*d**4.
d*(d - 1)*(d + 1)**2/8
Let n(t) be the second derivative of -t**9/15120 - t**8/6720 + t**7/1260 + 3*t**4 - t + 6. Let f(x) be the third derivative of n(x). Solve f(q) = 0 for q.
-2, 0, 1
Let l(g) = -9*g + 15 - 4*g - 35 + 48. Let f be l(2). Suppose -1/5*j**3 + 0*j**f + 0*j + 0 = 0. Calculate j.
0
Let p be ((-2)/(-27))/(27/972). Suppose 8/3*g**3 + p*g**2 + 0*g + 2/3*g**4 + 0 = 0. Calculate g.
-2, 0
Let b(m) be the third derivative of -m**5/300 - m**4/20 - 4*m**3/15 - 36*m**2. Factor b(h).
-(h + 2)*(h + 4)/5
Let i(n) = -n + 5. Let d be i(11). Let l be (1 - 0)/(3/d + 1). Factor 0*w**l - 1/7*w**3 + 2/7 + 3/7*w.
-(w - 2)*(w + 1)**2/7
Let w(d) be the third derivative of -d**6/216 - d**5/360 - 5*d**3/3 - 8*d**2. Let t(k) be the first derivative of w(k). Factor t(j).
-j*(5*j + 1)/3
Let j(o) = o**3 + 5*o**2 + 17*o - 2. Let 