). Suppose w(o) = 0. Calculate o.
-2, 0, 1
Let v(f) be the first derivative of 0*f - f**3 + 3/5*f**5 + 0*f**2 + 1/4*f**4 - 27 - 1/6*f**6. Factor v(i).
-i**2*(i - 3)*(i - 1)*(i + 1)
Suppose 184 = -4*g - 5*t + 1, 0 = 5*g - 4*t + 280. Let w = 211/4 + g. Factor -w*o**2 + 1/2 - 5/4*o.
-(o + 2)*(3*o - 1)/4
Let g(z) = -6*z**3 - 8*z**2 - 6*z + 2. Let y be g(-2). Let f be (-4 + (-117)/(-45))*y/(-8). Factor 3/4*i**4 - 5/2*i**2 + 3/2*i**3 - f*i - 1/4*i**5 - 9/4.
-(i - 3)**2*(i + 1)**3/4
Let z(c) = 2*c**3 - 8*c**2 - 134*c - 184. Let l(h) = 2*h**3 - 8*h**2 - 142*h - 185. Let q(t) = -4*l(t) + 5*z(t). Determine s, given that q(s) = 0.
-3, 10
Let c(v) be the third derivative of v**7/350 - v**6/40 - 21*v**5/100 + 53*v**4/40 - 14*v**3/5 - 2*v**2 + 82*v. Factor c(d).
3*(d - 7)*(d - 1)**2*(d + 4)/5
Let h be (-87)/(-30) + 6 + (-96)/15. Factor l**2 + 1 - h*l.
(l - 2)*(2*l - 1)/2
Let a be (7/(-5) + 1)/((-1936)/3670). Let u = a + -1/121. Factor -u*f - 1/4*f**3 - f**2 + 0.
-f*(f + 1)*(f + 3)/4
Suppose -22*p = p. Let y(m) be the third derivative of -1/24*m**4 + 9*m**2 + 0 - 3/40*m**5 + 0*m**3 + p*m. Factor y(i).
-i*(9*i + 2)/2
Suppose 16*v - 120 = -8*v. Let q(b) be the first derivative of -1/36*b**6 - 1/30*b**v - 2/3*b**2 + 1/18*b**3 + 5/24*b**4 + 4 + 2/3*b. Let q(t) = 0. Calculate t.
-2, 1
Let q(p) = -p + 10. Let h be q(5). Suppose -h*m - 4*u + 6 = 0, 9 = 5*m - 3*u - 4. Factor 4*v**3 + 3*v - 3*v + 8*v**m.
4*v**2*(v + 2)
Suppose 0 - 135/2*p - 3/4*p**2 = 0. What is p?
-90, 0
Let w = 237 - 8775/37. Let s = w + 252/185. Factor 9/5*b**4 - 3/5 - 9/5*b + 3/5*b**5 - 6/5*b**2 + s*b**3.
3*(b - 1)*(b + 1)**4/5
Let o(f) be the first derivative of -3/5*f**2 + 0*f + 5 + 1/10*f**4 + 4/15*f**3. Find y, given that o(y) = 0.
-3, 0, 1
Suppose 0 = -8*y + 23*y - 30. Let k(d) be the third derivative of 1/240*d**6 + 0 + 0*d - 2*d**y + 1/6*d**3 - 1/60*d**5 - 1/48*d**4. Factor k(l).
(l - 2)*(l - 1)*(l + 1)/2
Let g = -17/48 - 715/48. Let f = -15 - g. What is r in 0*r**3 + 0*r - 1/4*r**4 + f*r**2 + 0 = 0?
-1, 0, 1
Let s be (-8)/(-20)*3330/(-8). Let k = s - -167. Factor -k*x**2 + 0*x + 0 - 1/2*x**3.
-x**2*(x + 1)/2
Let k be (208/20)/((-252)/(-210)). Find d, given that 4/3*d + 0 + 4*d**4 + k*d**3 + 6*d**2 = 0.
-1, -2/3, -1/2, 0
Let j be (9 + -11)/(20/(-40)). Determine f, given that -5/2*f**2 + 0*f + 0*f**3 + 2 + 1/2*f**j = 0.
-2, -1, 1, 2
Let z(s) be the first derivative of -s**4/28 + 2*s**3/7 - 9*s**2/14 + 39. Factor z(d).
-d*(d - 3)**2/7
Let j be (36/(-30))/((-34)/85). Factor 6/11*p**2 + 6/11*p + 2/11*p**j + 2/11.
2*(p + 1)**3/11
Let u(c) be the third derivative of c**7/3360 + c**6/1440 - c**5/480 - c**4/96 - c**3/6 + 4*c**2. Let h(k) be the first derivative of u(k). Factor h(p).
(p - 1)*(p + 1)**2/4
Suppose 0 = 29*c + 1029 - 5379. Let t = c + -748/5. Factor t*i**3 - 8/5 + 16/5*i - 2*i**2.
2*(i - 2)**2*(i - 1)/5
Let n be 6/(-1) - (-8 - -9). Let m = -7 - n. Factor 0*b + m - 1/7*b**2 - 1/7*b**3.
-b**2*(b + 1)/7
Let x = 1764/473 + -90/43. Let d be -16 - (-41)/((-4510)/(-2240)). Factor 2/11 - x*v + d*v**2 - 32/11*v**3.
-2*(v - 1)*(4*v - 1)**2/11
Let d(m) be the first derivative of -m**4 - 40*m**3/3 - 14*m**2 + 72*m - 167. Factor d(y).
-4*(y - 1)*(y + 2)*(y + 9)
Let h(c) be the third derivative of c**6/80 + c**5/20 - c**4/16 - c**3/2 - 13*c**2 - 2. Determine f, given that h(f) = 0.
-2, -1, 1
Suppose -5*x + 20 = 0, -5*k - 6*x + 161 = -2*x. Suppose 7*r + 8 = k. What is b in -120*b**r + 3 + 13*b**4 - 30*b - 6*b**4 + 41*b**4 + 99*b**2 = 0?
1/4, 1
Let w(r) be the second derivative of 9/13*r**2 + 0 + 1/78*r**4 + 29*r - 2/13*r**3. Solve w(k) = 0.
3
Let z(n) = -15*n**2 - 4650*n - 360333. Let y(m) = 3*m**2 + 930*m + 72067. Let u(h) = 21*y(h) + 4*z(h). Find r such that u(r) = 0.
-155
Let h be (25/70 - 3/6)*-6. Factor 2/7*n**2 - h*n + 4/7.
2*(n - 2)*(n - 1)/7
Let g(i) be the second derivative of -i**8/1344 + i**7/252 + 3*i**4/2 - 8*i. Let m(s) be the third derivative of g(s). Factor m(c).
-5*c**2*(c - 2)
Let y be 81 + -75 + 14/(-3). Factor 8/3*u**2 + 0 + y*u**4 + 4*u**3 + 0*u.
4*u**2*(u + 1)*(u + 2)/3
Let s be (171/76)/((27/4)/9). Let j = -11 + 15. Solve j*m**2 - 10/3*m - 2*m**s + 1 + 1/3*m**4 = 0.
1, 3
Let m(z) be the first derivative of -3*z**5/5 - 9*z**4/2 + 11*z**3 + 90*z**2 - 300*z - 36. Solve m(b) = 0 for b.
-5, 2
Let g(d) be the first derivative of -1/720*d**6 + 0*d + 0*d**2 - 3/16*d**4 + 7/3*d**3 - 1/40*d**5 - 2. Let x(v) be the third derivative of g(v). Factor x(w).
-(w + 3)**2/2
Let v(m) = m**2 - 1. Let c be v(1). Suppose -4*x = -2*z - 2, 15 = 4*z + z. Factor 2 + 6*s - 2 - 3*s**x + c.
-3*s*(s - 2)
Let s = 478 + -475. Let r(u) be the third derivative of 0*u - 4*u**2 + 0*u**s + 0 + 0*u**4 + 1/1155*u**7 - 1/330*u**5 + 0*u**6. Find v, given that r(v) = 0.
-1, 0, 1
Let b(p) be the third derivative of -p**5/80 + 11*p**4/32 - 9*p**3/4 + 55*p**2. Factor b(z).
-3*(z - 9)*(z - 2)/4
Let q(f) be the first derivative of f + 108. Let y(i) = -4*i**2 + 8*i - 2. Let o = 1 + -3. Let x(s) = o*q(s) - y(s). Factor x(u).
4*u*(u - 2)
Let v be (-8915)/(-350) - 67/(-2345). Find r such that -2*r + v*r**4 - 9/2*r**5 - 67/2*r**3 + 29/2*r**2 + 0 = 0.
0, 1/3, 1, 4
Let k be (-6 - -1) + (30 - 1). Suppose -4*j = -16*j + k. Solve -4/5*y**5 + 12/5*y**3 + 8/5*y + 0 - 4*y**j + 4/5*y**4 = 0 for y.
-2, 0, 1
Let i be (5*(-3)/100)/((-18)/16). Let h(x) be the second derivative of 0*x**3 + 0*x**2 - 5*x - 1/10*x**5 + i*x**6 + 0*x**4 + 0. Factor h(j).
2*j**3*(2*j - 1)
Let d(x) be the third derivative of -6*x**2 + 0*x**4 + 0*x + 0*x**6 + 0*x**5 - 1/1848*x**8 - 2/1155*x**7 + 0*x**3 + 0. Solve d(a) = 0.
-2, 0
Let y be 0 + 8 - (-2)/(-1). Suppose -19 = -y*p - 7. Suppose -2/7*i**p + 0*i + 0 = 0. What is i?
0
Let z(d) be the first derivative of 2*d**6/3 + 64*d**5/5 + 45*d**4 - 216*d**3 - 65. Solve z(x) = 0.
-9, 0, 2
Determine l, given that 576*l + 6*l**3 - 576*l - 2*l**5 - 4*l**4 = 0.
-3, 0, 1
Find y such that -18 + 15*y + 21*y - 63*y + 17*y + y**2 + 17*y = 0.
-9, 2
Suppose -19*g + 5*g - 686 = 0. Let a = -46 - g. Find h such that -a*h**2 + 2*h**3 - 1/2 - 1/2*h**4 + 2*h = 0.
1
Suppose 0 = -5*a + 4*u + 9, 3*a - 25 = 2*a - 5*u. Determine h so that -6*h**2 - h**3 + 6*h**3 + 6*h**2 + a*h**2 = 0.
-1, 0
Let t(d) = -6*d**3 - 329*d**2 + 642*d - 307. Let z(o) = -2*o**3 - 110*o**2 + 214*o - 102. Let c(m) = -6*t(m) + 17*z(m). Solve c(j) = 0.
-54, 1
Let p(f) be the first derivative of -f**4/4 + 2*f**3 + 18*f**2 + 12*f - 24. Let x(i) be the first derivative of p(i). Factor x(o).
-3*(o - 6)*(o + 2)
Let f(z) be the third derivative of 30*z**2 + 1/8*z**4 + 0 - 1/40*z**5 - 1/40*z**6 + 1/140*z**7 + 0*z**3 + 0*z. Determine r so that f(r) = 0.
-1, 0, 1, 2
Let h = -86 - -91. Let x(i) be the third derivative of 0*i + 0*i**4 + 3*i**2 + 0 + 1/6*i**3 - 1/60*i**h. Factor x(a).
-(a - 1)*(a + 1)
Let w(f) = 3*f**3 - 24*f**2 - 3*f + 18. Let k(q) = -7*q**3 + 48*q**2 + 7*q - 35. Let d(h) = -6*k(h) - 13*w(h). Factor d(g).
3*(g - 1)*(g + 1)*(g + 8)
Let i = 71 + -66. Let v be 7*(243/(-49) + i). Determine o, given that -4/7*o + 10/7*o**2 + 0 - 8/7*o**3 + v*o**4 = 0.
0, 1, 2
Let k(p) be the second derivative of 5*p + 4/51*p**3 + 0*p**2 + 0 - 1/102*p**4. Determine o so that k(o) = 0.
0, 4
Let k(c) be the third derivative of 0 - 1/180*c**6 - 13/90*c**5 + 29/36*c**4 + 0*c - 5/3*c**3 + 21*c**2. Solve k(b) = 0.
-15, 1
Suppose 2 + 0 = -2*x + k, x + 4*k + 1 = 0. Let h be ((-16)/4)/(-2) - x. Solve 42*o**h - 21*o**4 - 11*o**3 + 38*o**3 + 12*o - 60*o**2 = 0.
0, 2/7, 1, 2
Let n be (-16)/20*((-12)/20 + 84/(-360)). Factor -n*f**3 + 2/3*f + 5/3*f**4 + 0 - 5/3*f**2.
f*(f - 1)*(f + 1)*(5*f - 2)/3
Let v = 823 + -821. Let l(d) be the first derivative of -2/3*d**3 + d**2 + 1/6*d**4 - 2/3*d + v. Factor l(r).
2*(r - 1)**3/3
Let i(m) be the first derivative of -m**5/20 + m**4/8 + m**3/3 - m**2/4 - 3*m/4 - 384. Suppose i(l) = 0. Calculate l.
-1, 1, 3
Suppose -r + 2*a + 15 = 0, -4*r + 4*a = -0*r - 40. Suppose -8*c + 15 = -3*c. Let 8*z**2 + z - z + z**c - r*z**3 = 0. What is z?
0, 2
Let z(o) be the first derivative of 2*o**3/9 + 22*o**2/3 - 46*o/3 + 291. Factor z(v).
2*(v - 1)*(v + 23)/3
Let t(u) = 15*u**3 - 39*u**2 + 30*u + 54. Let i(w) = 2*w**3 - 3*w**2 + w + 1. Let p(n) = 6*i(n) - t(n). Solve p(c) = 0 for c.
-1, 4
Solve 2*b + 0 - 1/5*b**2 = 0.
0, 10
Solve 3/7*t**3 + 1/7*t - 5/7*t**4 + 0 - 4/7*t**5 + 5/7*t