 34)**2
Let f(t) = 3*t**2 + 6*t + 8. Let j(g) = -3*g**2 - 6*g - 6. Let h(w) = -3*f(w) - 4*j(w). Let h(i) = 0. What is i?
-2, 0
Let u(z) be the second derivative of z**4/18 + 4*z**3/9 + 4*z**2/3 - 70*z. Factor u(m).
2*(m + 2)**2/3
Let w(m) be the third derivative of -m**8/168 + 2*m**7/315 + 13*m**6/45 - 23*m**5/45 - 43*m**4/12 - 4*m**3 + 385*m**2. Determine l, given that w(l) = 0.
-4, -1, -1/3, 3
Let y(v) = 4*v**3 + 32*v**2 - 12. Let r(l) = -l**3 - l**2 + l + 1. Let p(x) = 12*r(x) + y(x). Determine o so that p(o) = 0.
-1/2, 0, 3
Let a(d) be the third derivative of 1/84*d**8 + 2/5*d**6 + 0*d + 4/35*d**7 - 14*d**2 + 0*d**3 + 0 + 0*d**4 + 8/15*d**5. Factor a(c).
4*c**2*(c + 2)**3
Let k(f) = -f**2 + 83*f - 666. Let p be k(9). Factor -1/4*g**4 + 3/4*g**3 + 0*g**2 - g + p.
-g*(g - 2)**2*(g + 1)/4
Suppose -69*m**3 + 43*m - 10*m**4 - 64*m + 6 - 8*m**4 - 78*m**2 = 0. What is m?
-2, -1, 1/6
Let f(u) be the first derivative of 4*u**3/3 + 16*u**2 + 48*u + 43. Suppose f(m) = 0. Calculate m.
-6, -2
Let w be (-2 - (-2 + -2))*70/4. Let f(d) = 45*d**2 - 90*d + 10. Let z(x) = 5*x**2 - 10*x + 1. Let s(h) = w*z(h) - 4*f(h). Factor s(m).
-5*(m - 1)**2
Let c = 48 - 55. Let k(p) = p**3 + 7*p**2 + p + 11. Let h be k(c). Suppose 4/3 + 5/3*s**h - 3*s**2 + 8/3*s - 8/3*s**3 = 0. Calculate s.
-1, -2/5, 1, 2
Factor -9 - 122*i + 65*i**2 - 25*i**3 + 0*i**4 + 9 + 87*i - 5*i**4.
-5*i*(i - 1)**2*(i + 7)
Let q(a) = -a + 7. Let z be q(6). Let h = z - -1. Factor -2*g**4 + 2*g**3 + 0*g + 0*g**2 + 4*g**h - 2*g**2 - 2*g.
-2*g*(g - 1)**2*(g + 1)
Determine h, given that 4*h**5 + 24*h**3 - 324*h - 237*h + 33*h + 23*h**5 + 96 - 114*h**4 + 432*h**2 = 0.
-2, 2/9, 2
Let q = 1078 + -1078. Determine f, given that 4/3*f**3 + q + 14/3*f**4 + 8/3*f**5 + 0*f - 2/3*f**2 = 0.
-1, 0, 1/4
Let b(t) be the second derivative of -t**4/60 - t**3/3 - 9*t**2/10 - 19*t. Determine d so that b(d) = 0.
-9, -1
Let o be 2 + 5 + (-1 - 0)/((-46)/(-253)). Find m such that o*m**2 + 7/6*m - 1/3 = 0.
-1, 2/9
Let j = -81 - -290. Let c = j + -1253/6. Find p, given that -19/6*p**2 - c + 4/3*p + 2*p**3 = 0.
1/4, 1/3, 1
Let f(j) = j**2 + 12*j + 22. Let w be f(-17). Let -w*t**2 - t**3 + 107*t**2 = 0. Calculate t.
0
Suppose 5*v + 12 = 3*v. Let i = -4 - v. Let -7*g + i*g**2 - 8*g + 13*g - 4 = 0. What is g?
-1, 2
Let k(f) be the first derivative of 16/65*f**5 + 5/13*f**2 + 1/39*f**6 + 25 + 9/13*f**4 + 0*f + 32/39*f**3. Suppose k(w) = 0. What is w?
-5, -1, 0
Let b(j) be the second derivative of -j**5/20 + 11*j**4/12 + j**3/6 - 9*j**2/2 + 6*j. Let o be b(11). Let -13*l**2 - 12*l + 20*l**o - 2 - 2 = 0. What is l?
-2/7, 2
Let s(o) = 235*o**3 + 2*o**2 - 1. Let f be s(1). Factor -f*b + 0*b**2 + 224*b + 12 + 3*b**2.
3*(b - 2)**2
Factor -8 + 81/5*b + 1/5*b**3 - 42/5*b**2.
(b - 40)*(b - 1)**2/5
Let y(z) be the third derivative of z**6/840 + 4*z**5/7 + 800*z**4/7 + 256000*z**3/21 - 14*z**2 - 6*z. Find u such that y(u) = 0.
-80
Let b(s) be the first derivative of -s**4/10 + 38*s**3/15 - 64*s**2/5 + 24*s - 401. What is d in b(d) = 0?
2, 15
Let a(c) be the second derivative of -c**6/150 + c**5/20 - 2*c**4/15 + 2*c**3/15 + 5*c + 7. Factor a(l).
-l*(l - 2)**2*(l - 1)/5
Let f = 83 - 95. Let n(h) = h**3 + 13*h**2 + 12*h + 2. Let m be n(f). Find a, given that -2/7*a**m + 0 + 0*a = 0.
0
Let g(k) be the first derivative of 35/3*k**3 + 10 + 5/2*k**4 + 5*k**2 - 15*k. Determine p so that g(p) = 0.
-3, -1, 1/2
Let k(x) be the third derivative of -x**8/672 + x**7/210 + x**6/30 + x**5/60 - 7*x**4/48 - x**3/3 - 128*x**2. Factor k(i).
-(i - 4)*(i - 1)*(i + 1)**3/2
Let c(w) = -w - 2. Let o be c(-7). Find k, given that 4*k**3 + 32*k + 4*k**o - 32*k - 8*k**5 = 0.
-1, 0, 1
Let 5*k**2 - 811 + 1011 + 92*k - 9*k**2 = 0. What is k?
-2, 25
Let w be 4/((-72)/(-10)) - 8/(-24). Suppose 8/9 + 2/9*l**2 + w*l = 0. What is l?
-2
Let y(q) be the third derivative of q**7/1260 + 7*q**6/720 - q**5/360 - 7*q**4/144 - 32*q**2 + 2. Factor y(n).
n*(n - 1)*(n + 1)*(n + 7)/6
Factor -p - 4*p + p**2 + 2*p - p + p**2.
2*p*(p - 2)
Let f be ((-2)/8)/((-27)/216). Let d(m) be the second derivative of 0 + m + 0*m**f + 7/90*m**5 + 0*m**3 + 1/27*m**4. Factor d(r).
2*r**2*(7*r + 2)/9
Let z be (-475)/(-20) - (-4)/16. Determine u, given that -8*u**3 - 8*u + 4*u**2 + 17*u**2 + 5*u**2 - z = 0.
-3/4, 2
Let c(a) be the second derivative of 2/3*a**3 + 0*a**2 + 0 - 19*a - 7/15*a**6 - 1/5*a**5 + 7/6*a**4. Suppose c(p) = 0. Calculate p.
-1, -2/7, 0, 1
Suppose 5*o - 3*g - 19 = 0, 0 = 5*o + g - 7. Let s be (-4 - 2)/(-2) - 1. What is i in -2 + i + i - s*i**o + 6 = 0?
-1, 2
Suppose -q - 3 = 0, 0*q = 2*k - 5*q - 13. Let u be (24 - 24)/(k*2). Factor -2/13*b**3 + 0 + u*b**2 + 2/13*b.
-2*b*(b - 1)*(b + 1)/13
Let m(y) be the first derivative of -y**4/2 - 398*y**3 - 118803*y**2 - 15761198*y + 655. Factor m(u).
-2*(u + 199)**3
Let j(d) be the third derivative of 2*d**7/105 + 19*d**6/210 - 2*d**5/35 - 67*d**2. Solve j(i) = 0.
-3, 0, 2/7
Suppose l + 3 = 6. Solve -i**2 + 3*i**l - i**3 + 13*i**2 + 8*i - 2*i**2 = 0.
-4, -1, 0
Let c be (102/(-340))/((-9)/60). Factor -2/3*d**c + 1/2 + 11/6*d.
-(d - 3)*(4*d + 1)/6
Let r(d) be the first derivative of -17 - 21/2*d**2 + 9*d - 3/4*d**4 + 5*d**3. Factor r(v).
-3*(v - 3)*(v - 1)**2
Factor -22*d - 9*d**2 - 24*d - 27 - 18*d - 3*d**3 + 19*d - 12*d**2.
-3*(d + 1)*(d + 3)**2
Let z(g) be the first derivative of 4*g**3/21 + 8*g**2/7 - 128*g/7 - 282. Factor z(o).
4*(o - 4)*(o + 8)/7
Suppose -n**4 - 1/2*n**5 + 4*n**3 + 9*n**2 + 0 + 9/2*n = 0. What is n?
-3, -1, 0, 3
Let j(z) be the first derivative of 2*z**6/3 + 8*z**5/5 - z**4 - 8*z**3/3 + 65. Suppose j(d) = 0. Calculate d.
-2, -1, 0, 1
Let f(q) be the second derivative of 0 + 1/180*q**6 + 0*q**4 - 5*q + 0*q**5 + 0*q**2 - 1/3*q**3. Let g(u) be the second derivative of f(u). Factor g(s).
2*s**2
Let j(n) be the second derivative of -5*n**4/6 + 7*n**3 - 4*n**2 - 304*n. Let j(d) = 0. Calculate d.
1/5, 4
Let x(q) be the first derivative of -2*q**3/39 - 60*q**2/13 - 1800*q/13 + 3. Factor x(h).
-2*(h + 30)**2/13
Let n be 3 + 15/(-35) - (-36)/(-63). Factor n*u - 4 - 1/4*u**2.
-(u - 4)**2/4
Let f(n) be the third derivative of 0*n - 1/72*n**4 + 0 + 1/360*n**6 + 0*n**5 + 8*n**2 + 0*n**3. Factor f(h).
h*(h - 1)*(h + 1)/3
Let y(g) be the second derivative of -g**6/120 + g**5/20 + 9*g**3/2 + 4*g. Let h(n) be the second derivative of y(n). What is s in h(s) = 0?
0, 2
Let k = -15532 - -62519/4. Let v = 98 - k. Let -1/2 + 3/4*r**2 + v*r**3 - 1/4*r**4 - 1/4*r = 0. What is r?
-1, 1, 2
Let n(x) be the first derivative of -x**7/147 - x**6/105 + 3*x**5/70 + 5*x**4/42 + 2*x**3/21 + 10*x + 9. Let d(y) be the first derivative of n(y). Factor d(j).
-2*j*(j - 2)*(j + 1)**3/7
Let r(w) = -w**2 - 9*w - 30. Let c(x) = x**2 + 8*x + 32. Let s(y) = -4*c(y) - 5*r(y). Factor s(b).
(b + 2)*(b + 11)
Let h(l) be the second derivative of l**7/35 - l**6/40 - l**5/20 + l**2 - 15*l. Let o(y) be the first derivative of h(y). Factor o(v).
3*v**2*(v - 1)*(2*v + 1)
Let v(r) be the second derivative of -r**4/32 - 23*r**3/8 - 1587*r**2/16 + 48*r. Factor v(k).
-3*(k + 23)**2/8
Let y = -482 - -7713/16. Let w(i) be the third derivative of 0*i + 0*i**3 + 0 + 1/16*i**4 - 7/160*i**6 + y*i**5 + 2*i**2. Factor w(d).
-3*d*(d - 1)*(7*d + 2)/4
Let d(w) be the first derivative of 2*w**3/3 - 89. Factor d(a).
2*a**2
Let u(c) be the second derivative of -14*c + 0 + 1/12*c**5 + 715/18*c**3 + 115/36*c**4 + 605/6*c**2. Factor u(q).
5*(q + 1)*(q + 11)**2/3
Let g = 9/10 + -17/20. Let d(s) be the third derivative of g*s**5 + 0 - 1/16*s**4 - 1/80*s**6 - 2*s**2 + 0*s + 0*s**3. Factor d(c).
-3*c*(c - 1)**2/2
Let i(f) be the first derivative of 7*f**3 - 87*f**2 + 48*f - 61. Factor i(s).
3*(s - 8)*(7*s - 2)
Suppose t + 4*o + 7 = 0, t + 4*o - 8 = 5*o. Suppose a = 2*w - 10, -w = 4*a - 0*w - t. Factor -1/4*c**4 + 0*c + a*c**2 - 1/4*c**3 + 0.
-c**3*(c + 1)/4
Solve 35*d**3 - 32*d**3 + 76797*d - 59882 + 963*d**2 - 17881 = 0 for d.
-161, 1
Let i(w) be the third derivative of -w**5/300 - w**4/5 + 113*w**2. Find s, given that i(s) = 0.
-24, 0
Let o be (-2)/4 + (-27)/18. Let g = 2 - o. Suppose -8 + 8 + 2*n**2 + 8*n**3 + 8*n**g = 0. What is n?
-1/2, 0
Let n(u) be the third derivative of u**7/840 - 7*u**6/480 + u**5/16 - 13*u**4/96 + u**3/6 - 52*u**2. Solve n(w) = 0 for w.
1, 4
Let k(h) be the third derivative of h