rivative of y(w). Suppose i(o) = 0. Calculate o.
0, 7
Suppose -5*t + 8 = 4*b, 0 = 2*t - b - 63 + 52. Factor -1/2*k**3 - 1/4*k**t + 0 + 0*k - 1/4*k**2.
-k**2*(k + 1)**2/4
Suppose -18*o + 17*o = -49. Let d = 51 - o. Factor 1/5*l**d + 2/5*l + 0.
l*(l + 2)/5
Let i(p) be the third derivative of 2*p**7/525 - 13*p**6/150 + 11*p**5/25 + 77*p**4/30 - 196*p**3/15 + p**2 + 22. Determine k so that i(k) = 0.
-2, 1, 7
Let f(m) be the second derivative of m**5/330 + m**4/11 + 12*m**3/11 + 9*m**2/2 - 20*m. Let l(c) be the first derivative of f(c). Factor l(h).
2*(h + 6)**2/11
Let s(l) = -l**3 + 2*l**2 - l + 1. Let h(r) = 15*r**3 - 300*r**2 - 5790*r - 18. Let v(w) = h(w) + 18*s(w). Solve v(x) = 0 for x.
-44, 0
Let s = -2653/44 + 666/11. Factor 0 + s*t - 1/4*t**2 + 1/4*t**4 - 1/4*t**3.
t*(t - 1)**2*(t + 1)/4
Find f such that 7*f**3 - 97*f**4 - 55*f**2 - 15*f - 72*f**3 + 72*f**4 = 0.
-1, -3/5, 0
Let -3/4*w**5 - 9/4*w**4 + 9/4*w**2 + 0*w + 0 + 3/4*w**3 = 0. What is w?
-3, -1, 0, 1
Factor -16*w**2 + 2 + 31*w**3 - 7*w**3 + 12*w**3 - 24*w**4 - 2 + 4*w**5.
4*w**2*(w - 4)*(w - 1)**2
Suppose 5*h + 5*f = 810, 0 = 4*h - 7*h + 2*f + 486. Let z = h + -159. Let -1/3 + 7/9*c - 5/9*c**2 + 1/9*c**z = 0. Calculate c.
1, 3
Let v = -87 + 85. Let y be 4/(-9) - -2*(0 - v). Factor y + 2/9*u**2 + 16/9*u.
2*(u + 4)**2/9
Let b(v) be the second derivative of -12*v + 1/2*v**3 - 49/160*v**5 + 0 + 7/32*v**4 + 1/4*v**2. Solve b(p) = 0 for p.
-2/7, 1
Let v be 88/(-60) + 9/6. Let j(y) be the second derivative of 0*y**4 - v*y**6 - 5*y + 0*y**2 + 0 - 2/3*y**3 + 3/20*y**5. Factor j(z).
-z*(z - 2)**2*(z + 1)
Let d = -74 - -78. Let g(b) = -4*b**3 - 6*b**2 + b + 3. Let j(m) = 5*m**3 + 7*m**2 - 2*m - 4. Let x(l) = d*g(l) + 3*j(l). Factor x(i).
-i*(i + 1)*(i + 2)
Let -104/5*g**2 - 2/5*g**3 + 2/5*g + 104/5 = 0. What is g?
-52, -1, 1
Let t(j) be the second derivative of j**4/12 + 9*j**3 + 729*j**2/2 + 30*j. Suppose t(p) = 0. Calculate p.
-27
Let n(a) be the first derivative of -a**5/25 + a**4/20 + 23*a**3/15 + 39*a**2/10 + 18*a/5 - 174. Suppose n(j) = 0. What is j?
-3, -1, 6
Suppose -4*b = -2*b + 4*n - 10, -b + 4*n = 19. Let q be -2 + b/3 + 45/12. Factor -7/4*o - 2*o**2 - q*o**3 - 1/2.
-(o + 1)**2*(3*o + 2)/4
Let y be -1*(-12 - 50/(-5)). Factor -1/2*r**2 - y*r - 3/2.
-(r + 1)*(r + 3)/2
Let y(b) be the first derivative of 121*b**6/720 - 11*b**5/60 + b**4/12 - 4*b**3 - 6. Let w(f) be the third derivative of y(f). What is v in w(v) = 0?
2/11
Let k(w) be the second derivative of 1/48*w**4 - 17*w - 1/12*w**3 - 3/8*w**2 + 0. Let k(o) = 0. Calculate o.
-1, 3
Let z(n) = 2*n**2 + 193*n - 1558. Let g be z(-104). Factor -72/13 - 2/13*l**g + 24/13*l.
-2*(l - 6)**2/13
Let n(w) be the third derivative of -w**7/525 + w**6/30 - 17*w**5/150 + 2*w**4/15 + 286*w**2. What is j in n(j) = 0?
0, 1, 8
Let n(k) = -k**2 + 1. Let x(z) = 20*z**3 - 8*z**2 - 48*z - 20. Let c = 43 + -47. Let i(s) = c*n(s) - x(s). Find r such that i(r) = 0.
-1, -2/5, 2
Suppose -22/17*x + 2/17*x**2 + 56/17 = 0. What is x?
4, 7
Let x = 8575 + -42873/5. Find w, given that 0 + 2/5*w - x*w**4 - 2/5*w**3 + 2/5*w**2 = 0.
-1, 0, 1
Let q(u) = 3*u + 59. Let r = 111 - 130. Let i be q(r). Factor 8/13*f + 2/13*f**3 + 8/13*f**i + 0.
2*f*(f + 2)**2/13
Factor -o**2 - 38*o**4 - 7*o**4 + 132*o**3 - 111*o**3 + 18*o**5 + 9*o**5 - 2*o**2.
3*o**2*(o - 1)*(3*o - 1)**2
Let z be 81/243 - 28/(-6). Let p(f) be the third derivative of 0 + 1/10*f**z + 0*f + 5*f**2 + 1/3*f**3 - 1/4*f**4 - 1/60*f**6. Suppose p(l) = 0. Calculate l.
1
Factor -1345 + 3*u**2 - u**2 - 32*u + 2705 - 1330.
2*(u - 15)*(u - 1)
Let h(n) be the first derivative of n**5/140 + 3*n**4/28 + 9*n**3/14 + 27*n**2/14 - n - 6. Let s(x) be the first derivative of h(x). Find l such that s(l) = 0.
-3
Suppose -p + 4*p - 6 = 0, 5*h + 12 = p. Let r(q) = -q**3 + 3*q - 2. Let y be r(h). What is b in 2/7*b**2 + y + 0*b = 0?
0
Suppose 2*w = -0 + 4. Let a(c) = -3*c**w - 4*c**3 - 5*c + c**3 + 5*c**3. Let u(m) = m**3 - 3*m**2 - 4*m. Let r(t) = 2*a(t) - 3*u(t). Let r(v) = 0. What is v?
-2, -1, 0
Suppose -3*k + 86 = 4*j, -2*j - 3*k + 14 + 32 = 0. Suppose 24*w**3 + 4*w + 5*w**4 - 12*w**3 - j*w**2 + 31*w**4 = 0. Calculate w.
-1, 0, 1/3
Let f(d) = -17*d**2 - 465*d + 190. Let u(a) = -15*a**2 - 465*a + 190. Let q(o) = 5*f(o) - 4*u(o). Factor q(s).
-5*(s + 19)*(5*s - 2)
Suppose 0 = a - 2*k - 3*k - 25, -5*k = 5*a - 95. Let o be (-4)/a*0*1. Factor 0*i**3 - 3/5*i**2 + o + 0*i + 3/5*i**4.
3*i**2*(i - 1)*(i + 1)/5
Let k be (4/(-10))/(612/(-170)). Let f(c) be the first derivative of 1/2*c**2 + k*c**3 + 5 + 2/3*c. Factor f(v).
(v + 1)*(v + 2)/3
Let j(i) = -70*i**3 + 880*i**2 + 3555*i + 2775. Let r(k) = 5*k**3 - 63*k**2 - 254*k - 198. Let m(y) = -6*j(y) - 85*r(y). Factor m(z).
-5*(z - 18)*(z + 1)*(z + 2)
Suppose -5*a = 15, 3*q + 5*a + 9 = -12. Let v be -1*(1/q*6 - -3). Determine s, given that 0*s + v + 2/7*s**2 = 0.
0
Solve 5*a - 521*a**3 - 3*a**5 + 6*a**2 + 0 + 1 - 7*a**4 + 259*a**3 + 260*a**3 = 0.
-1, -1/3, 1
Let w(r) = 4*r**2 + 11*r + 7. Let c(x) = x + 1. Let u(n) = -40*c(n) + 5*w(n). Factor u(q).
5*(q + 1)*(4*q - 1)
Suppose 6*u - 3*u = -0*u + 4*u. Factor -2/3*l**2 + 10/3*l**3 + u*l + 0 - 25/6*l**4.
-l**2*(5*l - 2)**2/6
Let a = -174 - -176. Let q(m) be the first derivative of -2/3*m**3 + 2*m**a - 2*m + 5. Find i such that q(i) = 0.
1
Let x(n) be the second derivative of n**4/4 + 7*n**3/2 - 27*n**2 - 69*n - 2. Determine t, given that x(t) = 0.
-9, 2
Let a(s) = -s**2 - 16*s + 17. Let y be a(-17). Suppose 0 = -2*v + 4 - y. Factor -127*o - 4*o**v + 3*o**4 + 135*o - 2*o**4 - 2*o**3.
o*(o - 2)**2*(o + 2)
Let x = -16 - -35. Suppose -5*l + 2*a + 16 = -l, 3*l = -2*a + 5. Factor -2*d**2 - d - 17 + x - d + 4*d**l - 2*d**3.
2*(d - 1)**2*(d + 1)
Suppose -6*c + 70 = -c - 5*a, 4*a + 70 = 5*c. Let z be 175/49 + -4 + 62/c. Factor 4/7*b**3 - 2/7*b**z - 4/7*b + 2/7 + 0*b**2.
-2*(b - 1)**3*(b + 1)/7
Factor -19/2*n - 10 + n**2 + 1/2*n**3.
(n - 4)*(n + 1)*(n + 5)/2
Suppose -5*d + 7*d = 4. Factor -11 - 39*i**d - 36*i - 1 - 4*i**4 + i**4 - 18*i**3.
-3*(i + 1)**2*(i + 2)**2
Let o(v) be the first derivative of 3/16*v**4 - 10 + 0*v**3 - 9/8*v**2 + 3/2*v. Factor o(b).
3*(b - 1)**2*(b + 2)/4
Let n(l) be the first derivative of 33/4*l**4 + 5/6*l**6 + 0*l + 2*l**2 - 8 - 22/5*l**5 - 20/3*l**3. Factor n(d).
d*(d - 2)*(d - 1)**2*(5*d - 2)
Let a = 5559 - 5559. Factor 1/2*r - 3/4*r**4 + a - r**3 + 1/4*r**2.
-r*(r + 1)**2*(3*r - 2)/4
Let i be ((-99)/180 + (-4)/(-10))*-15. Determine q so that 21/8*q + 9/8 - 15/8*q**4 + 3/4*q**2 - i*q**3 - 3/8*q**5 = 0.
-3, -1, 1
Let r(z) be the third derivative of -z**5/90 + 109*z**4/54 + 73*z**3/27 - 734*z**2. Suppose r(y) = 0. Calculate y.
-1/3, 73
Let t(a) be the first derivative of -7 - 1/2*a**4 + 0*a**2 + 3*a**3 + 0*a + 1/120*a**6 - 3/40*a**5. Let o(v) be the third derivative of t(v). Factor o(f).
3*(f - 4)*(f + 1)
Let j be 36/66*22/3. Let a(b) be the third derivative of 1/140*b**7 + 0*b + 3*b**2 + 1/24*b**5 - 1/48*b**j + 0*b**3 - 7/240*b**6 + 0. Factor a(o).
o*(o - 1)**2*(3*o - 1)/2
Suppose -y + 30 = y. Let q = -11 + y. Find f, given that f**3 + 0 - 4 + q = 0.
0
Let j = 172/7 - 832/35. What is w in -8/5*w**2 + 12/5*w - j = 0?
1/2, 1
Let o be (-46)/115 - (679/(-340))/(-1). Let h = 1/340 - o. Let 2/5*p**2 + 18/5 - h*p = 0. What is p?
3
Let q(k) be the third derivative of 4/7*k**3 + 0 - 1/210*k**6 + 32*k**2 + 0*k + 5/42*k**4 - 2/105*k**5. Solve q(n) = 0.
-3, -1, 2
Suppose 3*t + 5*d - 35 = 0, -7*d + 2*d + 10 = -2*t. Suppose 4*r - 7 = t. Suppose 0 + 2/9*s - 4/9*s**r - 1/3*s**4 + 1/9*s**2 = 0. What is s?
-1, 0, 2/3
Let r(d) = -3*d + 2. Let z(i) = 7*i - 5. Let o(c) = 5*r(c) + 2*z(c). Let l(q) = 5*q**2 + 55*q + 45. Let v(g) = -l(g) - 5*o(g). Let v(s) = 0. What is s?
-9, -1
Let j(k) be the first derivative of -k**7/840 + k**6/180 + k**5/120 - k**4/12 + k**3/3 - 14. Let h(i) be the third derivative of j(i). Factor h(c).
-(c - 2)*(c - 1)*(c + 1)
Let g be (1/(-4))/((-3)/(-12)). Let z be (g - 14)/((-9)/15). Factor -2*d**5 - z*d + 2*d**4 + 25*d.
-2*d**4*(d - 1)
Let n be (-1 + (13 - 12))/2. Suppose 8/7*g**3 + 16/7*g**2 + 1/7*g**4 + 0*g + n = 0. Calculate g.
-4, 0
Let y(v) be the third derivative of -2/3*v**5 + 0*v - 3/70*v**7 + 41*v**2 + 0 + 0*v**3 - 1/2*v**4 - 13/40*v**6. Suppose y(g) = 0. Calculate g.
-3, -2/3, 0
Let v = -135 + 139. Let c be 6/v - 