for d.
1, 3, 9
Let p(m) be the second derivative of m**7/280 + m**6/480 - m**5/120 + 11*m**2/2 + 3*m. Let j(o) be the first derivative of p(o). Find c such that j(c) = 0.
-1, 0, 2/3
Let y(g) be the third derivative of g**8/2520 - g**7/315 + g**6/900 + 7*g**5/150 - g**4/10 - 6*g**2 + 2. Find b such that y(b) = 0.
-2, 0, 1, 3
Let p = -29 + 32. Factor -6*k**3 + 11*k**p - 3*k**3 - 2*k.
2*k*(k - 1)*(k + 1)
Factor 6*n - 16/3 - 2/3*n**2.
-2*(n - 8)*(n - 1)/3
Let v(m) be the second derivative of m**8/560 + 3*m**7/280 - m**6/120 - 3*m**5/40 - 8*m**3/3 + 5*m. Let l(p) be the second derivative of v(p). Factor l(g).
3*g*(g - 1)*(g + 1)*(g + 3)
What is f in 224/5*f - 256/5 - 49/5*f**2 = 0?
16/7
Let f be (2 - 0) + 16047/(-36). Let u = -440 - f. Suppose 3/2 + 3*h**2 + 3/4*h**3 + u*h = 0. Calculate h.
-2, -1
Suppose -6 = l - 4*l. Suppose -3*n = a - l, 20 = 5*n - n - 3*a. Let 7/2*v**n + 3/4 - 1/4*v**5 + 11/4*v - 1/4*v**4 + 3/2*v**3 = 0. Calculate v.
-1, 3
Let j be (48 + -4 + 4)/1. Determine s so that 21*s**4 + 7*s - 7*s - 3*s**5 - j*s**2 - 24*s**3 = 0.
-1, 0, 4
Let x(j) be the third derivative of 0*j - 1/60*j**5 + 3/10*j**3 - 7/40*j**4 + 1/24*j**6 + 0 - 11*j**2. Factor x(l).
(l + 1)*(5*l - 3)**2/5
Let g = 27761 + -27761. What is w in 8/11*w**3 + g*w + 2/11*w**4 + 0 + 6/11*w**2 = 0?
-3, -1, 0
Let w = -34695801/236428 - 2/59107. Let c = w + 149. Suppose -c - 1/4*n**2 - 3/2*n = 0. What is n?
-3
Let x(i) be the third derivative of -1/9*i**3 + 1/90*i**5 - 1/9*i**4 + 1/45*i**6 - 9*i**2 + 0*i + 0. Let x(r) = 0. What is r?
-1, -1/4, 1
Let b(h) = -6*h**2 + 42*h + 53. Let c = 15 + -20. Let n(q) = 21*q**2 - 147*q - 186. Let u(v) = c*n(v) - 18*b(v). Factor u(d).
3*(d - 8)*(d + 1)
Suppose 492*h = 507*h - 49 + 4. Factor 0 + 1/10*j**h + 0*j**2 - 1/10*j.
j*(j - 1)*(j + 1)/10
Let g(j) be the second derivative of j**5/70 + 2*j**4/3 + 53*j**3/21 + 26*j**2/7 + 48*j. Factor g(q).
2*(q + 1)**2*(q + 26)/7
Suppose 10*s - 9*s + 5*m = 32, 5*s = m + 56. Suppose -s*f = -14 - 10. Factor -4/5 - 8/5*g**2 + f*g + 2/5*g**3.
2*(g - 2)*(g - 1)**2/5
Let p = 23116 - 23114. Factor 4/3*b**p + 4*b + 8/3.
4*(b + 1)*(b + 2)/3
Let l(z) be the second derivative of -z**4/60 + 9*z**2/10 - z + 58. Factor l(f).
-(f - 3)*(f + 3)/5
Let c be 2*12/4 - 3. Let y(j) be the first derivative of -1/12*j**4 + 0*j**2 + 4/9*j**c + 4 + 0*j. Factor y(d).
-d**2*(d - 4)/3
Let i(y) be the second derivative of -2/15*y**6 - 4/3*y**3 + 0*y**5 + 17*y + 0*y**2 + y**4 + 0. Factor i(c).
-4*c*(c - 1)**2*(c + 2)
Let y(c) be the third derivative of -35/24*c**4 - 13/24*c**6 + 14*c**2 + 0*c - 2/21*c**7 - 5/4*c**5 - 5/6*c**3 + 0. Suppose y(i) = 0. What is i?
-1, -1/4
Let r(v) be the second derivative of v**4/6 + v**3/3 - 6*v**2 - 99*v. Solve r(q) = 0.
-3, 2
Let u = -7769/42 + 1296/7. Solve -4/3*c**2 + 3/2 + c**3 - c - u*c**4 = 0.
-1, 1, 3
Suppose -4*z = -20, -q + 3*q - 2*z = 0. Suppose 5*d + 0*k + q*k = 30, -1 = -k. Let u**3 + 23*u**4 + u**3 + 2*u**d - 27*u**4 = 0. Calculate u.
0, 1
Let w(v) be the second derivative of -v**6/35 + 13*v**5/14 + 11*v**4/21 + 3*v + 1. What is r in w(r) = 0?
-1/3, 0, 22
Suppose -13*p = -5*v - 11*p, -3*v = 2*p - 16. Factor 2*a**2 - 15*a**v + a**2 + 4*a**3 + 16.
4*(a - 2)**2*(a + 1)
Let h(w) be the first derivative of 12 + 18/5*w - 1/5*w**3 - 3/10*w**2. What is q in h(q) = 0?
-3, 2
Let q = -71795/26 - -2762. Let g = 11/13 + q. Let g*i + 9/4 - 3/4*i**2 = 0. Calculate i.
-1, 3
Suppose 11*t - 7*t - 296 = 0. Let z be t/14 - 2/7. Factor -14*i**3 - i**z + 11*i**3 + 4*i**5.
3*i**3*(i - 1)*(i + 1)
Suppose -2*g + 4 = -5*x, -4*g + 4 = -x - 2*g. Let n(h) be the third derivative of x*h**3 + 1/300*h**5 + 0 - 4*h**2 + 0*h - 1/120*h**4. Factor n(y).
y*(y - 1)/5
Let d(w) be the first derivative of 1/6*w**2 + 0*w + 1/8*w**4 - 1/9*w**6 - 4/15*w**5 + 7/18*w**3 - 8. Let d(i) = 0. What is i?
-2, -1/2, 0, 1
Factor -8*p + 4 + 1/4*p**4 + 6*p**2 - 2*p**3.
(p - 2)**4/4
Let j be (1/4*1)/((-479)/(-3832)). Suppose 2/5*u**j - 4/5 - 2/5*u = 0. Calculate u.
-1, 2
Let g(n) be the first derivative of 4*n**3/21 - 34*n**2/7 + 174. Factor g(x).
4*x*(x - 17)/7
Factor -44*q - 28*q - 3*q**2 - 78 - 354.
-3*(q + 12)**2
Let m(o) be the third derivative of 1/448*o**8 + 1/8*o**4 - 18*o**2 - 3/20*o**5 + 0*o + 0*o**3 + 0 + 13/160*o**6 - 3/140*o**7. Factor m(u).
3*u*(u - 2)**2*(u - 1)**2/4
Let l(c) be the third derivative of 0*c**3 + 1/504*c**8 + 0*c**4 + 0*c + 0 + 0*c**5 - 2/105*c**7 + 1/20*c**6 + 18*c**2. Let l(i) = 0. What is i?
0, 3
Let w(d) be the third derivative of -d**6/1260 + d**5/210 + d**3/2 + 4*d**2. Let o(q) be the first derivative of w(q). Factor o(z).
-2*z*(z - 2)/7
Let i be (9/3)/((-6)/(-4)). Let q = 4 + i. Let -4*t**4 + 2*t**5 - 4*t**5 - 2*t**4 - 2*t**2 - q*t**3 = 0. Calculate t.
-1, 0
Suppose -100*l + 52*l + 96 = 0. Find u, given that -1/2*u**l - 1/2*u**3 + 1/2*u + 0 + 1/2*u**4 = 0.
-1, 0, 1
Let a(t) be the first derivative of -4*t**3/3 + 62*t**2 + 264*t + 119. Factor a(y).
-4*(y - 33)*(y + 2)
Let w(d) be the first derivative of -d**4/16 - 7*d**3/6 + 17*d**2/2 - 18*d + 90. Factor w(t).
-(t - 2)**2*(t + 18)/4
Let a be (-3)/(-4) - (-504)/(-1680). Let j(z) be the second derivative of z + 5/2*z**3 + 0 + a*z**5 - 7/4*z**4 - 3/2*z**2. Factor j(c).
3*(c - 1)**2*(3*c - 1)
Let t(z) = 3*z**4 - 21*z**3 + 24*z**2 + 56*z + 8. Let f(b) = -2*b**4 + 14*b**3 - 16*b**2 - 37*b - 5. Let c(g) = -8*f(g) - 5*t(g). Factor c(r).
r*(r - 4)**2*(r + 1)
Determine m, given that 16*m**2 + m - 16*m - 21*m - 7*m - 11*m + 38 = 0.
1, 19/8
Let j(r) = -r**3 - 8*r**2 + 14*r - 10. Let v(u) = -4*u**3 - 25*u**2 + 43*u - 31. Let a = 67 - 61. Let d(h) = a*v(h) - 21*j(h). Suppose d(z) = 0. What is z?
2
Let x(h) be the third derivative of -h**5/270 + 5*h**4/12 - 25*h**2 + 1. Suppose x(b) = 0. Calculate b.
0, 45
Let t(m) be the first derivative of -m**6/21 - 8*m**5/35 - m**4/14 + 20*m**3/21 + 4*m**2/7 - 16*m/7 - 63. Solve t(z) = 0 for z.
-2, 1
Suppose -4*y - 5*i = -1 + 4, -9 = 3*i. Suppose -4*v - 3 = 5*x + y, 2*v = 5*x - 18. Determine j so that -4 + 2*j**2 + 2*j + 10*j**3 + 3*j**2 + 11*j**x = 0.
-1, 2/5
Let i(b) be the third derivative of -b**7/70 + 3*b**6/5 - 36*b**5/5 + b**2 - 21*b. Let i(u) = 0. What is u?
0, 12
Let s(g) be the first derivative of 1/5*g**5 - 16*g + g**4 + 7 - 8*g**2 + 0*g**3. Determine h, given that s(h) = 0.
-2, 2
Let b(v) be the third derivative of 0*v + 1/180*v**6 + 1/36*v**4 + 0*v**3 + 1/45*v**5 + 12*v**2 + 0. Factor b(t).
2*t*(t + 1)**2/3
Suppose 4 - 8 = -2*j. Suppose 2*g**3 - 2432 + 2438 - 6*g**2 + 0*g**3 - j*g = 0. What is g?
-1, 1, 3
Let q(g) = -16*g**5 - 4*g**2. Let c(t) = -15*t**5 - t**4 - 3*t**2. Let r(a) = -4*c(a) + 3*q(a). Determine s, given that r(s) = 0.
-1/3, 0
Let o(m) be the third derivative of -m**6/960 - m**5/96 + 11*m**4/96 - m**3/3 - 154*m**2. Factor o(z).
-(z - 2)*(z - 1)*(z + 8)/8
Let k be (21/(-27))/((-1029)/882). Find g such that -4/3*g - k + 2*g**2 = 0.
-1/3, 1
Find x, given that -230*x**4 - 3295407616 - 1/2*x**5 - 179098240*x - 42320*x**3 - 3893440*x**2 = 0.
-92
Suppose -4*u + 14 = 2. Suppose u*l = -3*l. Factor l*t + 2/7*t**4 + 0 - 4/7*t**2 - 2/7*t**3.
2*t**2*(t - 2)*(t + 1)/7
Let a(c) be the second derivative of 0*c**3 + 9*c + 1/40*c**5 + 1/24*c**4 - 1/84*c**7 + 0*c**2 + 0 - 1/60*c**6. Find z such that a(z) = 0.
-1, 0, 1
Let h(v) = 72*v**3 + 38*v**2 - 3*v + 9. Let p(k) = -18*k**3 - 9*k**2 + k - 2. Let i = 44 + -38. Let j(g) = i*h(g) + 26*p(g). What is l in j(l) = 0?
-1/3, 1/2
Let n(r) = 3*r**2 - 382*r - 2819. Let t be n(-7). What is d in 0 + 500/7*d - 4/7*d**4 - 300/7*d**t + 60/7*d**3 = 0?
0, 5
Suppose 2*x = i + 3, 0 = -x + 4*i - 5*i + 6. Let w(d) be the first derivative of 1/35*d**5 - 3 + 1/7*d**2 - 1/14*d**4 + 0*d - 1/21*d**x. Factor w(u).
u*(u - 2)*(u - 1)*(u + 1)/7
Let g be (2/(-8))/(2/120*-3). Factor 152/11*y + 32/11*y**g - 208/11*y**4 - 16/11 - 460/11*y**2 + 482/11*y**3.
2*(y - 2)**3*(4*y - 1)**2/11
Let h(l) = -40*l**2 - 137*l + 21. Let f(y) = 20*y**2 + 67*y - 11. Let d(n) = 9*f(n) + 4*h(n). Let d(c) = 0. What is c?
-3, 1/4
Let x(q) be the second derivative of q**6/15 + 4*q**5/5 - 57*q + 1. Factor x(t).
2*t**3*(t + 8)
Let g(s) = -3*s**2 - 543*s - 2124. Let t be g(-4). Factor i**2 + 0 + t*i + 1/4*i**3.
i**2*(i + 4)/4
Factor 2/9*j**2 + 8/3*j + 22/9.
2*(j + 1)*(j + 11)/9
Let s(x) be the second derivative of -32*x**6/15 + 152*x**5