in 3/8*n**4 - 1/2*n**2 + 1/8 + 1/4*n - 1/4*n**3 = 0?
-1, -1/3, 1
Let z(y) be the third derivative of 0*y + 0 + 11/40*y**6 - 17*y**2 + 25/8*y**4 + 0*y**3 + 1/70*y**7 + 7/4*y**5. Let z(p) = 0. Calculate p.
-5, -1, 0
Suppose -13/2*i**3 - 1/4*i**5 + 30*i + 0 - 17/4*i**4 + 17*i**2 = 0. Calculate i.
-15, -2, 0, 2
Let g(h) = 6*h**3 - 23*h**2 + 28*h - 39. Let p be g(3). Factor -2/13*i**4 + p - 30/13*i**3 - 96/13*i**2 + 128/13*i.
-2*i*(i - 1)*(i + 8)**2/13
Let b(s) be the second derivative of -s**9/756 + s**8/420 + 7*s**3/3 + 18*s. Let p(y) be the second derivative of b(y). Factor p(l).
-4*l**4*(l - 1)
Let c = 95 - 92. Suppose -c*p = -p. Solve 0 + 0*z + 2/7*z**4 - 2/7*z**2 + p*z**3 = 0 for z.
-1, 0, 1
Let w(l) be the second derivative of -l**5/60 + 19*l**4/36 + 41*l**3/18 + 7*l**2/2 - 3*l - 14. Factor w(k).
-(k - 21)*(k + 1)**2/3
Factor -1496/3*t + 2/15*t**4 + 68/15*t**3 + 46/5*t**2 + 4840/3.
2*(t - 5)**2*(t + 22)**2/15
Let d be 1 - (8/2 - 4). Let r be d/4 - (-10)/560*-7. Suppose -1/2 + 1/2*c - r*c**2 = 0. What is c?
2
Let k be (0/(-64))/(0/2 + -2). Let t(b) be the second derivative of 1/9*b**3 + 1/18*b**4 + k - 5*b - 1/45*b**6 + 0*b**2 - 1/30*b**5. Factor t(a).
-2*a*(a - 1)*(a + 1)**2/3
Let k(f) = -67*f - 600. Let m be k(-9). Factor 0 - 4/3*a**2 + 0*a - 10/9*a**m - 2/9*a**4.
-2*a**2*(a + 2)*(a + 3)/9
Let g(l) be the first derivative of 4*l**3/3 + 12*l**2 + 20*l + 138. Solve g(c) = 0.
-5, -1
Let p(m) = -8*m**3 - 44*m**2 - 158*m - 190. Let k(t) = -34*t**3 - 176*t**2 - 631*t - 759. Let b(f) = -2*k(f) + 9*p(f). Factor b(v).
-4*(v + 3)*(v + 4)**2
Let y(n) = -9*n**2 - 258*n - 671. Let c(d) = -2*d**2 - 52*d - 134. Let o(r) = -11*c(r) + 2*y(r). Suppose o(w) = 0. Calculate w.
-11, -3
Let z(i) = -5*i - 2. Let v be z(-1). Let l(n) be the second derivative of -7/6*n**4 + 5*n - 4/3*n**v - 1/5*n**5 + 4*n**2 + 0. Factor l(u).
-2*(u + 2)**2*(2*u - 1)
Let l(r) = 4*r**4 - 2*r**3 - 5*r**2. Suppose h = 5*u - 0*h - 14, 2*h = u - 1. Let m(y) = 5*y**4 - 3*y**3 - 6*y**2. Let q(z) = u*m(z) - 4*l(z). Solve q(f) = 0.
-2, 0, 1
Let n(y) be the third derivative of y**8/112 + y**7/70 - y**6/8 - y**5/4 + y**4/2 + 2*y**3 - 656*y**2. Let n(h) = 0. Calculate h.
-2, -1, 1, 2
Let l be 1 - (3930/24 + 1). Let b = l + 164. Factor -1/2*j**2 + 0 - b*j**3 + 0*j.
-j**2*(j + 2)/4
Suppose 605*d + 30 = 4*m + 602*d, -m + 2*d = -15. Factor -12/5*g**2 + 0*g + 8/5*g**m + 4/5*g**4 + 0.
4*g**2*(g - 1)*(g + 3)/5
Let k(c) be the third derivative of 5*c**8/168 - 342*c**7/245 - 1801*c**6/420 - 144*c**5/35 - 31*c**4/21 - 54*c**2. Suppose k(j) = 0. What is j?
-1, -2/5, -2/7, 0, 31
Let w(t) be the first derivative of t**3/9 - 6*t**2 + 108*t - 61. Solve w(n) = 0.
18
Let m = 2589 + -2589. Factor -5/3*s**3 + 5*s + 10/3 + m*s**2.
-5*(s - 2)*(s + 1)**2/3
Let y be 20*((-4)/(-30) + (-2924)/(-1020)). Factor -75/2*s**2 - y*s - 24 + 15/2*s**4 + 15/2*s**3 - 3/2*s**5.
-3*(s - 4)**2*(s + 1)**3/2
Factor -9*z**3 - 29733*z - 6*z**4 + 29733*z + 3*z**5.
3*z**3*(z - 3)*(z + 1)
Let r(m) be the second derivative of m**5/70 - m**4/2 - 8*m**3/7 + 44*m**2/7 - 2*m - 6. Factor r(v).
2*(v - 22)*(v - 1)*(v + 2)/7
Let a(d) be the first derivative of d**4/18 + 44*d**3/27 - 23*d**2/9 - 91. Factor a(j).
2*j*(j - 1)*(j + 23)/9
Let k(y) = y**3 + 4*y**2 - y + 23. Let f be k(-6). Let t = f - -45. Factor -4/3*r + 0 - 2/3*r**t.
-2*r*(r + 2)/3
Let c(x) be the first derivative of -8 - 2/9*x**2 + 2/9*x + 2/27*x**3. Factor c(t).
2*(t - 1)**2/9
Suppose -g - 11 = -3*b, 0 = -5*b + b - 2*g - 2. Suppose -2 + 18 = 4*l + 4*a, b*l - a = 17. Factor -c + 13*c**5 + 3*c**4 - 11*c**5 - c + 4*c**2 - l*c**4.
2*c*(c - 1)**3*(c + 1)
Let u(x) = 2*x**3 - 7*x**2 + x - 4. Let t be u(4). Suppose 0 = -11*d + t*d - 10. Find b such that 2/9*b**3 + 6 + 2*b**d + 6*b = 0.
-3
Let a be -2 - 3*(-4)/3. What is y in -2*y**3 - 30*y + 59*y - 6*y**a - 29*y = 0?
-3, 0
Let h(m) = -4*m**3 + 2*m**2 + 20*m. Let g(r) = 4*r**3 - 2*r**2 - 21*r - 2. Let c(u) = 4*g(u) + 5*h(u). Factor c(p).
-2*(p - 2)*(p + 2)*(2*p - 1)
Suppose 0 = -22*w + 16*w + 1524. Let i = -1776/7 + w. Factor -6/7*f**2 + 4/7*f + 0 + i*f**3.
2*f*(f - 2)*(f - 1)/7
Let f(w) be the second derivative of -w**6/15 - 2*w**5 - 50*w**4/3 - 121*w. Suppose f(i) = 0. Calculate i.
-10, 0
Let l(x) be the first derivative of x**6/40 - x**5/20 - 3*x**2/2 + 14*x + 4. Let a(t) be the second derivative of l(t). Factor a(y).
3*y**2*(y - 1)
Let u = 5953/4 - 1514. Let w = -503/20 - u. Let 3/5*h**4 - 3/5*h**3 + 0 + w*h - 3/5*h**2 = 0. Calculate h.
-1, 0, 1
Let w = 28539/50 - 2283/4. Let x(y) be the second derivative of -w*y**5 + y - 1/15*y**4 + 0 + 1/30*y**3 + 1/5*y**2. Factor x(o).
-(o + 1)**2*(3*o - 2)/5
Let d(c) be the third derivative of 2*c**7/525 + 19*c**6/150 + 33*c**5/25 + 27*c**4/10 - 445*c**2. What is z in d(z) = 0?
-9, -1, 0
Solve 27/7*t**4 - 12/7*t + 0 - 48/7*t**2 + 33/7*t**3 = 0.
-2, -2/9, 0, 1
Let m = 169 - 167. Suppose -4*g - m*x + 1 + 5 = 0, 3*g - x - 7 = 0. Solve 0*i - 4/5*i**g + 0 + 4/5*i**4 + 6/5*i**3 = 0.
-2, 0, 1/2
Let y(h) = -h**3 - h**2 - 2*h + 3. Let a be y(0). Factor -8*c**4 + 1 + 43*c**4 - 1 + 10*c**2 - 45*c**a.
5*c**2*(c - 1)*(7*c - 2)
Let c be 3/(10/15 - (-3)/36). Determine o so that 4*o**c - o**4 - 2*o**3 + 4*o**2 + 8*o**3 - 7*o**2 - 6*o**5 = 0.
-1, 0, 1/2, 1
Suppose 0 = -q - 459*p + 456*p - 9, -3*q + 5 = p. Factor 1/6*f**q - 1/3 - 1/2*f**2 + 1/6*f**4 - 5/6*f.
(f - 2)*(f + 1)**3/6
Let c(i) be the first derivative of -10*i**6/3 - 48*i**5/5 + 16*i**4 + 24*i**3 - 22*i**2 - 24*i - 166. Find d, given that c(d) = 0.
-3, -1, -2/5, 1
Let h(i) be the second derivative of i**5/4 + 5*i**4/2 - 5*i**3/6 - 15*i**2 - 219*i. Factor h(t).
5*(t - 1)*(t + 1)*(t + 6)
Suppose 2/7*k**2 + 2/7*k**3 - 8/7 - 8/7*k = 0. Calculate k.
-2, -1, 2
Let v(g) be the first derivative of -5/8*g**4 - 8 + 0*g**2 + 0*g - 5/6*g**3. Let v(n) = 0. Calculate n.
-1, 0
Suppose 2*c + 2*y - 6 = 0, 3 = -0*c + c - 2*y. Let i be (-10)/(-4) + -1 + c. Factor -3*b + 1/2*b**2 + i.
(b - 3)**2/2
Suppose -2*t - 8 = 3*b - 10, -2*b + 4*t = 4. Factor -1/2*s**3 + 0*s + b + 3/2*s**2.
-s**2*(s - 3)/2
Let m(x) = x**2 + 13*x - 22. Let r be m(-15). Suppose 28 - r = 5*d. Factor 2*q**2 + 2 + q**5 + 0*q - 5*q + 0 - d*q**4 + q**3 + 3*q**3.
(q - 2)*(q - 1)**3*(q + 1)
Let m(x) be the first derivative of -4*x**5/5 - x**4 + 16*x**3 + 47. Factor m(k).
-4*k**2*(k - 3)*(k + 4)
Factor 22*c + 24*c**2 - 67 + 28*c**2 + 20*c - 4*c**3 - 45 + 22*c.
-4*(c - 14)*(c - 1)*(c + 2)
Let y be -7 + (5 - (-189)/91). Let c(z) be the second derivative of 6*z + 0*z**3 + 0 - y*z**2 + 1/78*z**4. Factor c(d).
2*(d - 1)*(d + 1)/13
Let d(o) = -2*o - 17. Let c be d(-10). Solve -21*a**2 + 24 + 3*a**2 - 48 + 36*a + 3*a**c = 0.
2
Suppose 12 = 50*n - 46*n. Let s(l) be the third derivative of 2/3*l**4 - 16/3*l**n - 4*l**2 - 1/30*l**5 + 0*l + 0. What is p in s(p) = 0?
4
Let s = 6/695 - -133/695. Let b(o) be the second derivative of 2*o + 0*o**4 - s*o**5 + 2/3*o**3 + 0 + 0*o**2. Factor b(j).
-4*j*(j - 1)*(j + 1)
Suppose 5*v = -u + 10, -v - 4*u = 4*v + 5. Let q = v - 1. Factor 9*c**3 - 12*c**3 - c**2 + 2*c**q + c**5 + c**2.
c**2*(c - 1)**2*(c + 2)
Let i(l) = -l + 1. Let q be ((45/(-20))/(-9))/(2/(-8)). Let b(k) = 2*k**2 - 7*k - 1. Let x(f) = q*b(f) - i(f). Determine s, given that x(s) = 0.
0, 4
Factor -6/7*y**4 + 1080/7*y - 486/7 - 708/7*y**2 + 120/7*y**3.
-6*(y - 9)**2*(y - 1)**2/7
Suppose -9 = -0*f - 3*f. Let 6*u**3 - 10*u**2 + 15*u - 10*u**2 + 0*u**3 - u**f = 0. What is u?
0, 1, 3
Let v be (-4 + (-245)/(-45))/2. Let t(b) be the second derivative of 0 + 4/9*b**4 + 1/12*b**5 + v*b**3 + 1/3*b**2 - 3*b. Factor t(o).
(o + 1)*(o + 2)*(5*o + 1)/3
Let r(x) be the third derivative of x**6/320 + 9*x**5/160 - 5*x**4/32 + 57*x**2. Factor r(y).
3*y*(y - 1)*(y + 10)/8
Let c be (-10)/2 - (2 + -25). Let i be (c/(-21))/((-10)/14). Let 1/5*l**4 + 12/5*l**2 - i*l**3 - 8/5*l + 0 = 0. Calculate l.
0, 2
Let o = 772/3069 + 82/279. Factor -o*d**2 + 2/11*d**3 - 18/11*d - 10/11.
2*(d - 5)*(d + 1)**2/11
Factor 13*g**2 + 7*g**2 - 158 + 7*g**2 + 8*g**2 + 160*g - 37*g**2.
-2*(g - 79)*(g - 1)
Let b be (-5)/((-200)/(-16))*5/(-6). Factor 0*z**2 + 0 + b*z**3 + 0*z.
z**3/3
Let j(y) be the third derivative of -y**7/70 - 7*y**6/40 + y**5/20 + 7*y**4/8 + 41*y**2. Factor j(u).
-3*u*(u - 1)*(u + 1)*(u + 7)
Suppose -3*r + 12 = 0, -2*o + 0*r = 4*r - 86. Let z be ((