lve 20*j**2 - 4*j**4 - 8*j + 8*j**3 + 4 - 20*j**f = 0 for j.
-1, 1
Let d(j) = 9*j**2 + 142*j - 30. Let g be d(-16). Factor 18/5*o**3 - 54/5*o**g - 2/5*o**4 + 0 + 54/5*o.
-2*o*(o - 3)**3/5
Let o(l) be the third derivative of l**7/105 - 7*l**6/60 + 13*l**5/30 + l**4/4 - 6*l**3 + 16*l**2. Factor o(b).
2*(b - 3)**2*(b - 2)*(b + 1)
Let b = -36398/7 + 5200. Suppose 8/7*c**4 + 0*c - 3/7*c**5 + 0 + b*c**2 - c**3 = 0. What is c?
0, 2/3, 1
Let g be (-35)/(-5) - 1 - (-253)/(-44). Factor -j + 1/4*j**2 + g*j**3 - 1.
(j - 2)*(j + 1)*(j + 2)/4
Let d be 325/600 + -1 + (-20)/(-32). Let g(v) be the second derivative of d*v**4 + 0*v**2 + 0 + 7*v - v**3. Let g(h) = 0. What is h?
0, 3
Let b(l) be the second derivative of l**5/70 + 31*l**4/7 + 3844*l**3/7 + 238328*l**2/7 - 2*l - 24. Factor b(c).
2*(c + 62)**3/7
Let g = 462 + -460. Let o(d) be the second derivative of 3/22*d**5 + 5*d - 4/33*d**3 - 2/33*d**4 + 0*d**g + 0. Let o(u) = 0. Calculate u.
-2/5, 0, 2/3
Suppose 148 = 9*g + 148. Let s(t) be the third derivative of g*t + 0 - 9*t**2 + 0*t**3 + 1/8*t**4 + 1/20*t**5. What is v in s(v) = 0?
-1, 0
Factor 5/2*d**3 + 0 + d**2 + 0*d.
d**2*(5*d + 2)/2
Suppose 0 - 3/2*m**2 - 9/4*m**3 + 0*m - 3/4*m**4 = 0. What is m?
-2, -1, 0
Let l be (-2 + (-20)/(-6))/((-23)/(-483)). Suppose -62 + 66 - 31*g**2 + l*g - 37*g**2 + 36*g**3 = 0. Calculate g.
-1/9, 1
Let j(h) = -12*h - 75*h**2 + 66*h**2 + 3*h. Let v(s) = -17*s**2 - 19*s. Let w(k) = -11*j(k) + 6*v(k). Factor w(d).
-3*d*(d + 5)
Let o(w) be the second derivative of 1/6*w**6 - 5/3*w**4 + 0*w**3 + 0 + 0*w**2 + 3/4*w**5 + 26*w. Determine k, given that o(k) = 0.
-4, 0, 1
Let k = -1 - -3. Let q be (-4)/70*(3 + -8). Factor -q*i + 2/7*i**k + 0.
2*i*(i - 1)/7
Let s(k) be the third derivative of k**6/180 + 2*k**5/15 + 7*k**4/12 + 10*k**3/9 - 688*k**2. Factor s(o).
2*(o + 1)**2*(o + 10)/3
Let o(l) = -3*l**3 + 24*l**2 - 8*l + 2. Let d(z) = -30*z**3 + 240*z**2 - 84*z + 21. Let b(j) = -2*d(j) + 21*o(j). Find a, given that b(a) = 0.
0, 8
Let t(s) be the first derivative of s**6/180 + s**5/20 + s**4/6 + 5*s**3 - 19. Let b(f) be the third derivative of t(f). Determine o so that b(o) = 0.
-2, -1
Suppose 3/5*i**4 + 0*i**2 + 96/5*i - 18/5*i**3 + 0 = 0. What is i?
-2, 0, 4
What is r in -4*r**3 + 2*r + 8/7*r**2 - 4/7 - 4/7*r**4 + 2*r**5 = 0?
-1, 2/7, 1
Let h be ((-4)/(-16))/(231/(-4228)). Let j = -21/11 - h. Factor -j - 10/3*b**2 - 2/3*b**3 - 16/3*b.
-2*(b + 1)*(b + 2)**2/3
Let v(r) = -2*r + r - 2*r - 20*r**2 + r. Let f be (0 + 1 - 14)/1. Let x(i) = 41*i**2 + 5*i. Let g(a) = f*v(a) - 6*x(a). Let g(s) = 0. Calculate s.
0, 2/7
Let b = 3 - 6. Let r be -5 - (b - 0) - -4. Determine i so that -6*i - 2*i - 8*i**4 + 2*i**5 + 15*i**2 + 6*i**3 - 7*i**r = 0.
-1, 0, 1, 2
Find n, given that -160*n + 44*n**2 + 51*n**2 - 1280 - 100*n**2 = 0.
-16
Let i be (-6416)/(-528) + -3 + (-22)/(-6). Let d = 13 - i. Factor 6/11*f - d*f**2 + 8/11.
-2*(f - 4)*(f + 1)/11
Factor -3/4*m**2 - 45/2*m + 93/4.
-3*(m - 1)*(m + 31)/4
Let 58/5*c + 2/5*c**2 - 12 = 0. Calculate c.
-30, 1
Let h = 6 - 20. Let y = 19 + h. Suppose 10*a**2 + 10*a**3 - 5*a**4 + 50 + y*a**5 - 15*a - 45 - 10*a**4 = 0. Calculate a.
-1, 1
What is w in 256*w**2 - 192 - 127*w**2 - 127*w**2 + 40*w = 0?
-24, 4
Let a(z) = 2*z**3 + 18*z**2 - 8*z - 24. Let w(f) = -f**2 + 2. Let b(x) = a(x) + 12*w(x). Factor b(n).
2*n*(n - 1)*(n + 4)
Let i be 4 + 18/(-12) + ((-99)/(-18) - 6). Let -14/11*a**5 + 38/11*a**3 + 48/11*a - 18/11*a**4 + 82/11*a**i + 8/11 = 0. What is a?
-1, -2/7, 2
Let r be (12 - 2)*297/990. Factor 3/5*p**r + 0 - 4/5*p + 1/5*p**4 + 0*p**2.
p*(p - 1)*(p + 2)**2/5
Suppose -28*g = 27*g - 22*g. Let k(r) be the second derivative of 15/2*r**3 + 0 + 5/2*r**4 + g*r**2 + 1/4*r**5 + 8*r. Let k(u) = 0. What is u?
-3, 0
Let o = -573 - -577. Let t(h) be the first derivative of -1/20*h**o + 1/10*h**2 + 2/15*h**3 + 4 - 2/5*h. Solve t(v) = 0.
-1, 1, 2
Let o(k) = -13*k**5 - 2*k**4 - 12*k**2. Let w(r) = 2*r**5 + 2*r**2. Let s(q) = o(q) + 6*w(q). Let s(f) = 0. Calculate f.
-2, 0
Let r(i) = -i + 4. Let h be r(0). Let n be 3 - h - (-4 + 1). Factor -8*u + 5*u**2 - 41 - 2*u**n + 5*u**2 + 43.
2*(2*u - 1)**2
Let z = -45 + 53. Let u be -3 + (-2 + 4)*22/z. Determine a, given that -1/2*a**2 + 5/2*a**3 - u*a + 3/2*a**4 - 1 = 0.
-1, -2/3, 1
Suppose 5*n = x, 4*n + 14*x = 17*x. Let y(m) be the third derivative of 7*m**2 + 0*m**3 + n*m + 0*m**4 + 0*m**5 + 0*m**6 + 2/105*m**7 + 0. Factor y(l).
4*l**4
Let y be (-2)/(-4) - (-110)/20. Factor -20*n**2 - 2*n**3 + y*n**3 + 29*n - 29*n.
4*n**2*(n - 5)
Let m(d) be the first derivative of -4*d**6/3 - 8*d**5/5 + 3*d**4/2 + 8*d**3/3 + d**2 + 75. Solve m(y) = 0 for y.
-1, -1/2, 0, 1
Let v = 489407/10998 - -2/5499. Determine o so that 37/2*o**4 - 5/2*o**5 - v*o**3 - 9*o + 0 + 75/2*o**2 = 0.
0, 2/5, 1, 3
Let x(w) = 6*w + 3. Let b be x(0). Let v(l) = 3*l**2 - 13*l - 6. Let r(h) = -2*h**2 + 7*h + 3. Let c(u) = b*v(u) + 5*r(u). Factor c(t).
-(t + 1)*(t + 3)
Let n(o) be the first derivative of 6*o**2 - 17 + 16*o - 4/3*o**3. Factor n(q).
-4*(q - 4)*(q + 1)
Let j(s) be the second derivative of s**5/10 - 8*s**4/3 + 29*s**3/3 - 14*s**2 - 66*s - 2. Determine l, given that j(l) = 0.
1, 14
Let d = -2869 - -2872. Factor 0*r + 0 - 6/7*r**d - 2/7*r**4 + 8/7*r**2.
-2*r**2*(r - 1)*(r + 4)/7
Suppose 3*u + q = 109, 5*u - q - 180 = -3*q. Let d = u + -35. Determine t so that 0 - 1/3*t**2 + 0*t - 1/3*t**4 + 2/3*t**d = 0.
0, 1
Factor 0 + 8/9*g - 2/3*g**3 + 22/9*g**2.
-2*g*(g - 4)*(3*g + 1)/9
Let a be ((-3)/2)/(60/(-80)). Suppose 5*o**2 - 2*o**a - 5*o**2 + o**3 + o = 0. Calculate o.
0, 1
Let c(y) be the second derivative of y**6/60 + y**5/5 + 13*y**4/24 + y**3/2 - 55*y. Factor c(u).
u*(u + 1)**2*(u + 6)/2
Let f = 92 - 79. Factor -3*g**3 + 25 - 47*g**2 - 28*g - f - 11*g**3 + 7*g**3.
-(g + 1)*(g + 6)*(7*g - 2)
Let g be 1 + ((-1)/15)/((-6)/(-18)). Determine p so that 24/5*p - 36/5 - g*p**2 = 0.
3
Let v be 1/2 - (-506)/(-1035). Let u(l) be the third derivative of 2/9*l**4 + 0 + v*l**5 + 16/9*l**3 + 0*l - 5*l**2. Determine d, given that u(d) = 0.
-4
Determine i so that 2*i**4 + 338*i**2 - 20*i**3 + 24*i**3 + 48*i**3 = 0.
-13, 0
Let h(i) be the third derivative of i**5/60 + 37*i**4/120 + 7*i**3/15 + 103*i**2 + 2. Determine f, given that h(f) = 0.
-7, -2/5
Let v(p) = p**4 + p**2 - p + 2. Let m(k) = 4*k**4 + 21*k**3 + 10*k**2 + 8*k - 10. Let a(r) = m(r) + 5*v(r). Let a(i) = 0. What is i?
-1, -1/3, 0
Suppose 4*n + 36 = -0*n - 4*s, 5*s = -n - 5. Let l = n - -13. Factor l*y**3 + 0*y - 2*y**2 + 11*y**2 + 6*y + 0*y.
3*y*(y + 1)*(y + 2)
Let y(l) be the second derivative of 1/12*l**7 - 14*l - 1/6*l**3 + 0 + 0*l**2 - 19/60*l**6 + 3/8*l**5 - 1/24*l**4. Factor y(f).
f*(f - 1)**3*(7*f + 2)/2
Let g(p) be the first derivative of -4*p**3/9 + 4*p**2/3 + 294. Determine j so that g(j) = 0.
0, 2
Let o(h) be the second derivative of -h**4/36 - 38*h**3/9 - 722*h**2/3 + 2*h - 22. Factor o(p).
-(p + 38)**2/3
Determine w, given that -2*w**2 + 35574 + 429*w + 199*w + 4*w**2 + 13724 = 0.
-157
Suppose -4 - 37 = -9*m - 14. Factor 2/7*q**4 + 4/7*q**m + 6/7 - 8/7*q**2 - 4/7*q.
2*(q - 1)**2*(q + 1)*(q + 3)/7
Suppose -24*p + 4*q = -29*p - 10, 16 = 3*p - 2*q. Factor -v**p + 1/4*v**3 - 1/2 + 5/4*v.
(v - 2)*(v - 1)**2/4
Let v(n) be the third derivative of n**9/151200 - n**7/12600 + 7*n**5/30 + 15*n**2. Let u(t) be the third derivative of v(t). Factor u(c).
2*c*(c - 1)*(c + 1)/5
Let v = -112856 - -28778239/255. Let r = 2/51 - v. Factor -1/5*t**3 - 1/5*t**2 + r*t + 1/5.
-(t - 1)*(t + 1)**2/5
Let q(s) be the third derivative of 0*s - 1/15*s**5 + 0*s**4 + 1/105*s**7 + 0*s**6 - 2*s**2 - 22 + 1/3*s**3. Factor q(y).
2*(y - 1)**2*(y + 1)**2
Let w = -756 - -759. Let i(s) be the first derivative of 3/5*s**2 + 0*s**3 + 3/5*s - 3/10*s**4 - 3/25*s**5 - w. Factor i(d).
-3*(d - 1)*(d + 1)**3/5
Let a(b) be the third derivative of -49*b**5/15 + 23*b**4/3 + 2*b**3 - b**2 - 139. Let a(o) = 0. What is o?
-3/49, 1
Find o, given that 0*o + 3/2*o**4 + 0 + 0*o**2 - 6*o**3 = 0.
0, 4
Let o be -7 - 38/(-6) - (-8)/12. Suppose 1/4*l**3 + 3/4*l**2 - 1 + o*l = 0. What is l?
-2, 1
Factor 55/2*h**4 + 5/4*h**5 + 0 + 180*h + 485/4*h**3 - 330*h**2.
5*h*(h - 1)**2*(h + 12)**2/4
Suppose 5*c - 51 = -16. Let w(x) be the third derivative of 0*x**3 + 1/30*x**5 + 1/60*x**6 + 2*x**2 + 0 - 1/12*x**4 + 0*x - 1/105*x*