ative of 0 + 0*w + b*w**3 - 1/60*w**4 + 1/450*w**5 + 6*w**2. What is u in d(u) = 0?
1, 2
Let d(y) be the third derivative of -2*y**7/315 - y**6/30 + y**5/45 + y**4/6 + 742*y**2 - 2. What is o in d(o) = 0?
-3, -1, 0, 1
Let o = 3193/3 - 1064. Factor 0*a**2 + o*a - 1/3*a**3 + 1/6*a**4 - 1/6.
(a - 1)**3*(a + 1)/6
Solve 0*v + 23/4*v**3 - 1/2*v**2 - 21/4*v**4 + 0 = 0.
0, 2/21, 1
Let c(q) be the first derivative of -q**6/300 + 7*q**5/150 - q**4/4 + 3*q**3/5 - 9*q**2/2 - 17. Let r(s) be the second derivative of c(s). Factor r(v).
-2*(v - 3)**2*(v - 1)/5
Suppose -5*r + 7*r = 8. Suppose 0 = -2*b + r*c + 2, 0 = 5*b - 3*c - 11 - 1. Solve -1/3*s**2 + 0 + s**b - 2/3*s = 0.
-2/3, 0, 1
Suppose -13*t + 48 = -5*t. Let y(d) be the third derivative of 0*d + t*d**2 - 1/8*d**4 - d**3 + 0 + 1/20*d**5. Factor y(x).
3*(x - 2)*(x + 1)
Let v(g) = -g**3 - 5*g**2 - 5*g - 3. Let i be v(-4). Solve 20*f**2 - i - 216*f + 23*f**3 + 220*f + 1 + 7*f**4 = 0 for f.
-2, -1, -2/7, 0
What is p in 2/5*p**2 + 36/5 - 22/5*p = 0?
2, 9
Let z be 42/20 + (-1)/2. Let k = -17383/5 + 3477. Factor 12/5*y**3 + z*y**2 + 0 + 8/5*y**4 + k*y + 2/5*y**5.
2*y*(y + 1)**4/5
Suppose -77*g = -75*g - 10. Factor 2*r**3 - r**3 - g*r + 4*r**3.
5*r*(r - 1)*(r + 1)
Determine i so that 1/6*i**2 - 11/6*i + 0 = 0.
0, 11
Let t = 43348/3 - 14448. Determine h so that 11/3*h + t - h**2 = 0.
-1/3, 4
Let i be (145/1450)/((-2)/(-4)). Factor -1/10*f**2 + 3/10*f - i.
-(f - 2)*(f - 1)/10
Suppose 2*s = 2*p + s + 7, 16 = -5*p + s. Let j(u) = -57*u - 27. Let m be j(p). What is w in -m*w**3 - 468/5*w**2 - 192/5*w**4 - 111/5*w - 9/5 = 0?
-3, -1/4
Let g = 381593 - 35487781/93. Let p = g + 22/31. Factor -4/3*f**3 - 1 + 4/3*f**4 - p*f - 19/3*f**2.
(f - 3)*(f + 1)*(2*f + 1)**2/3
Let q = 1/433 + -5213/7361. Let f = 41/34 + q. Factor -f - 9/2*l**2 - 3*l.
-(3*l + 1)**2/2
Let j(u) = -u**3 + 3*u**2 - 3*u + 3. Let k be j(3). Let b be 13/2 + (-3)/k. Factor -2*y**2 - 4 - b + 11.
-2*y**2
Factor 72*s - 22*s**2 - 60 - 17 + 26*s**2 + 1.
4*(s - 1)*(s + 19)
Let t(s) = s**3 - s. Let w(v) = -v**4 + 2*v**3 + 6*v**2 + 3*v. Let b(q) = -3*t(q) - w(q). Find j, given that b(j) = 0.
-1, 0, 6
Find b, given that -27*b**3 + 63*b**3 - 6*b**4 + 156*b + 2*b**4 + 48 - 116*b**2 - 120 = 0.
1, 2, 3
Factor -8/7*x - 2/7*x**2 + 0 + 1/7*x**3.
x*(x - 4)*(x + 2)/7
Let l(x) be the third derivative of -1/1344*x**8 + 1/120*x**5 - 1/96*x**4 + 0*x - 1/840*x**7 - 1/24*x**3 + 1/240*x**6 + 0 - 8*x**2. Find m such that l(m) = 0.
-1, 1
Let r(q) = -5*q**3 - q**2 + q. Let b be r(-1). Let i be ((-8)/(-4))/(b*(-4)/(-18)). Factor 4/3*w**2 + 0 + 0*w**i + 2/3*w**5 - 4/3*w**4 - 2/3*w.
2*w*(w - 1)**3*(w + 1)/3
Factor -49/8*y**2 + 0*y + 0 - 7*y**3 - 2*y**4.
-y**2*(4*y + 7)**2/8
Let b(y) be the third derivative of 1/4*y**4 + 1/2*y**3 + 0 + 0*y + 1/20*y**5 + 18*y**2. Factor b(z).
3*(z + 1)**2
Determine v so that 2413 + 950 + 3512 + 8*v**2 - 7*v**2 + 288*v + 13861 = 0.
-144
Let v(g) be the second derivative of -g**4/20 + 3*g**3/10 + 88*g. Factor v(a).
-3*a*(a - 3)/5
Let a(z) be the second derivative of -z**7/21 - 11*z**6/15 - 21*z**5/5 - 32*z**4/3 - 32*z**3/3 - 3*z - 3. Determine n so that a(n) = 0.
-4, -2, -1, 0
Suppose -88 = 4*m + 2*t, -4*m = -3*t - 2*t + 60. Let q be (-16)/(-20) + (-44)/m. Let -9 + 15*s**2 + 9/2*s**q + 3/2*s = 0. What is s?
-3, -1, 2/3
Let h(z) = -z + 21. Let f be h(16). Suppose -s = f - 7. Solve 9*d**3 - 8*d - s*d**2 - 13*d**3 - 10*d**2 = 0 for d.
-2, -1, 0
Let y = 230 - 230. Suppose -6*j + 22 - 22 = y. Factor -1/4*n + 1/8*n**2 + 1/8*n**3 + j.
n*(n - 1)*(n + 2)/8
Let y be (-6)/(-7)*350/150. Factor -4*q - 16/3*q**3 + 2/3 - 10*q**y.
-2*(q + 1)**2*(8*q - 1)/3
Let t be (-62)/(35/(-11) + 3). Let y be 1/(-3) - t/(-186). What is u in 3/2 - y*u - 3*u**2 = 0?
-1, 1/2
Let m = 3/5264 - -1971/5264. Factor -9/4*z + m*z**2 + 15/8.
3*(z - 5)*(z - 1)/8
Let r(x) = -x**3 + 40*x - 2*x**2 + 4*x**2 - 37*x - 6. Let t(w) = 2*w**3 - 4*w**2 - 6*w + 13. Let y(v) = 13*r(v) + 6*t(v). Factor y(m).
-m*(m - 3)*(m + 1)
Let m(g) = -g**3 + g**2 + 55. Let a be m(0). Solve a*i**3 + 11*i**5 + 11*i**5 - 10*i - 5*i**2 - 7*i**5 - 55*i**4 = 0.
-1/3, 0, 1, 2
Let m(b) = -3*b**2 + b - 1. Let r(j) = 29*j**2 - 128*j - 117. Let a(l) = -8*m(l) - r(l). Factor a(g).
-5*(g - 25)*(g + 1)
Let g = 7/32 - -61/160. Let j(x) be the second derivative of 0*x**3 - 2/9*x**4 - 4*x - 25/126*x**7 - 1/3*x**6 + g*x**5 + 0 + 0*x**2. Solve j(f) = 0.
-2, 0, 2/5
Let r(z) = z**4 - 31*z**3 + 105*z**2 - 97*z + 37. Let h(x) = 30*x**3 - 102*x**2 + 98*x - 36. Let v(y) = 3*h(y) + 2*r(y). Factor v(w).
2*(w - 1)**3*(w + 17)
Let 27*x**3 + 5/2*x**4 + 6*x - 71/2*x**2 + 0 = 0. Calculate x.
-12, 0, 1/5, 1
Let m(v) be the third derivative of v**5/90 - v**4 + 36*v**3 - 19*v**2. Factor m(y).
2*(y - 18)**2/3
Factor -18*r**2 - 2*r**3 + 2/3*r**4 - 20 + 118/3*r.
2*(r - 6)*(r - 1)**2*(r + 5)/3
Let v be (-3)/(-6)*((-60)/(-150))/(2/20). Factor -8/9*p - 4/9*p**v + 0 + 4/9*p**3.
4*p*(p - 2)*(p + 1)/9
Let z be (2/(-2))/((-28)/112). Let h(o) be the first derivative of 5 + 2/7*o + 1/7*o**2 - 2/21*o**3 - 1/14*o**z. Find v, given that h(v) = 0.
-1, 1
Let x(q) be the third derivative of q**9/211680 - q**8/35280 - q**7/3528 + q**6/420 - q**5/2 + 35*q**2. Let k(y) be the third derivative of x(y). Factor k(s).
2*(s - 3)*(s - 1)*(s + 2)/7
Let f(v) = -5*v + 5. Let x be f(0). Factor 685 - s + 2*s**3 - s**x - 685.
-s*(s - 1)**2*(s + 1)**2
Suppose -5*o + 2*t = 3*t - 12, 3*t = -9. Suppose 2*w + 3*u = o*w - 5, -3*u = 3. Find n, given that 0 + 4*n - 4/3*n**w = 0.
0, 3
Let y(l) be the third derivative of l**5/15 + 3*l**4 + 64*l**3/3 + 2*l**2 + 77. Factor y(h).
4*(h + 2)*(h + 16)
Suppose -1 = 13*c - 14*c, 2*c = 4*n - 6. Let f(k) be the first derivative of 0*k + 1/2*k**6 + 3/4*k**4 - 3*k**3 + 9/5*k**5 - 2 - 3*k**n. Factor f(o).
3*o*(o - 1)*(o + 1)**2*(o + 2)
Let w(r) be the second derivative of r**6/5 + 2*r**5/5 - 7*r**4/6 - 4*r**3/3 + 4*r**2 - 86*r. Find x such that w(x) = 0.
-2, -1, 2/3, 1
Suppose 144/7 + 24/7*d**3 + 312/7*d**2 + 480/7*d - 15/7*d**4 = 0. Calculate d.
-2, -2/5, 6
Let g = 4626 - 4624. Suppose 3/2 - 3/2*f - 3/2*f**g + 3/2*f**3 = 0. What is f?
-1, 1
Suppose 2*d + 12*c - 30 = 8*c, 2*d = -2*c + 20. Let p(y) be the first derivative of -1/6*y**3 + 0*y + 1/4*y**2 - d - 1/4*y**4. Factor p(b).
-b*(b + 1)*(2*b - 1)/2
Let g(o) = -o**3 - 9*o**2 + 2*o + 22. Let z be g(-9). Solve 5*m + 598 - z*m**2 - 3*m**3 - 600 + 4*m**3 = 0 for m.
1, 2
Let f(i) be the third derivative of -i**8/168 + 2*i**7/105 - i**5/15 + i**4/12 - 164*i**2. Find l, given that f(l) = 0.
-1, 0, 1
Let z = -437 + 439. Let m(n) be the second derivative of -2*n + 0 + 0*n**z - 3/20*n**5 - 1/4*n**4 + 1/2*n**3 + 1/10*n**6. Solve m(f) = 0 for f.
-1, 0, 1
Let q be 493/(-11) - 6/33. Let w be q/27 - 28/(-15). Factor -1/5*p**4 + 0*p**3 + 0*p + 0 + w*p**2.
-p**2*(p - 1)*(p + 1)/5
Let a(y) be the first derivative of y**6/10 - 24*y**5/25 + 12*y**4/5 - 2*y**3/5 - 51*y**2/10 + 6*y + 144. Let a(c) = 0. Calculate c.
-1, 1, 2, 5
Let b = -2481 - -7459/3. Factor 482/3*c**3 + 152/3*c - b - 208/3*c**4 - 460/3*c**2 + 32/3*c**5.
2*(c - 2)**3*(4*c - 1)**2/3
Solve -76/11*k + 2/11*k**2 + 144/11 = 0 for k.
2, 36
Let z(d) = -d**2 + 23*d + 6. Let r(o) = 3*o**2 - 68*o - 17. Let b(w) = 6*r(w) + 17*z(w). Factor b(y).
y*(y - 17)
Determine w so that 70*w + 13*w**4 - 6*w**4 - 60*w**2 + 2*w**4 + 10*w**3 - 25 - 4*w**4 = 0.
-5, 1
Let k be (6/16)/(8/48). Let l be 60/96*6/5. Factor -3/4 + 9/4*h - k*h**2 + l*h**3.
3*(h - 1)**3/4
Let l(d) be the third derivative of -d**6/24 - 25*d**5/12 - 5*d**4 + 6*d**2 + 15*d. Suppose l(v) = 0. What is v?
-24, -1, 0
Let -7/3*a**4 + 4*a**2 + 4/3*a**3 + 1/3*a**5 + 0 + 0*a = 0. What is a?
-1, 0, 2, 6
Suppose 40 = 5*i - 4*g, -2*i + 2*g - 7*g - 17 = 0. Factor 0*h**3 + 0*h + 1/2*h**i - 1/2*h**2 + 0.
h**2*(h - 1)*(h + 1)/2
Let s(h) be the third derivative of 0*h + 0 - 67/360*h**6 + 6*h**2 - 23/180*h**5 + 1/9*h**3 + 1/24*h**4 - 1/10*h**7 - 5/252*h**8. What is i in s(i) = 0?
-1, -2/5, 1/4
Let i be (-160)/(-40) - (0 + (-2)/(-2)). Suppose i*o - 4*g = 8, 2*o = 4*o - g - 2. Suppose o*p + 2*p**3 + 2/3*p**2 + 0 + 4/3*p**4 = 0. What is p?
-1, -1/2, 0
Let l(z) = -7*z**3 + 38*z**2 - 64*z. Let t(y) = 36*y**3 - 189*y**2 + 322*y. Let g(s) = -11*l(s) - 2*t(s). Factor g(n).
5*n*(n - 6)*(n - 2)
Suppose -4*y - 4 = -28. Suppose -10*i + 8*i = -y.