) be the third derivative of -1/30*s**i + 0*s + 1/3*s**3 + 0 + 9*s**2 + 0*s**4. Find v, given that w(v) = 0.
-1, 1
Let s be (-6)/12*10 - 16/(-3). Let a(d) be the second derivative of 0*d**3 + 0 + 1/21*d**7 + s*d**4 - 1/10*d**5 - 2/15*d**6 - 4*d + 0*d**2. Factor a(k).
2*k**2*(k - 2)*(k - 1)*(k + 1)
Let i be (0 + 1)*(187 + 8) + 0. Factor i*o**2 - 20 - 250*o**2 - 54*o - 6*o + 15*o**4 + 5*o**5 - 5*o**3.
5*(o - 2)*(o + 1)**3*(o + 2)
Let g = -31/50 - -629/700. Let u = g - 1/35. Let 1/4 - u*m**2 + 0*m = 0. What is m?
-1, 1
Let i(y) be the first derivative of -4*y**3/3 + 42*y**2 + 731. Factor i(g).
-4*g*(g - 21)
Let d = 9721/10 + -1937/2. Factor -4/5*y**5 + 14/5*y**4 + 2*y**2 + 0 - 2/5*y - d*y**3.
-2*y*(y - 1)**3*(2*y - 1)/5
Let o(a) = a**2 - 262*a - 1881. Let h be o(-7). What is l in 1/2*l**h + 5/2 + 3*l = 0?
-5, -1
Let 210*k**3 - 83 - 206*k**3 + 32*k**2 + 83 + 48*k = 0. Calculate k.
-6, -2, 0
Suppose 5*s + 17 = 6*s + 3*k, 0 = 2*s + 4*k - 24. Let b(o) be the first derivative of -4/5*o**3 + 9/20*o**4 - 3/10*o**s + 6/5*o + 4. Factor b(y).
3*(y - 1)**2*(3*y + 2)/5
Let p = -1 + 3. Let t = 13391/2 - 6695. Factor -1/4*m**3 + 1/2*m**p - t + 1/4*m.
-(m - 2)*(m - 1)*(m + 1)/4
Suppose 13*f - 192 = 196 - 388. Factor f + 0*r**2 + 8/9*r**5 - 2/9*r**3 + 2/3*r**4 + 0*r.
2*r**3*(r + 1)*(4*r - 1)/9
Let q = 12910 - 64542/5. Factor 0 - q*r**2 - 2/5*r**3 - 6/5*r.
-2*r*(r + 1)*(r + 3)/5
Let d(b) = 48*b**2 + 76*b - 104. Let g(v) = 41*v**2 - 34*v**2 + 11*v + 5 - 20. Let i(u) = 3*d(u) - 20*g(u). Factor i(q).
4*(q - 1)*(q + 3)
Suppose 28*j - 1490 + 7090 = 0. Let s = -197 - j. Factor -1/5*p**2 - 1/5*p**s + 1/5*p + 1/5.
-(p - 1)*(p + 1)**2/5
Let q(u) be the first derivative of -u**6/180 + 7*u**3/3 + 8. Let f(t) be the third derivative of q(t). Factor f(x).
-2*x**2
Let 2/11*a - 2/11 + 2/11*a**2 - 2/11*a**3 = 0. Calculate a.
-1, 1
Factor 0 - 100*o - 190*o**2 + 19/2*o**4 - 321/4*o**3 - 1/4*o**5.
-o*(o - 20)**2*(o + 1)**2/4
Let u be ((-4)/(-8))/(2/8). Determine g, given that u*g**2 + 496*g + 10*g**2 + 16 - 8*g**3 - 464*g - 4*g**4 = 0.
-2, -1, 2
Let r(u) be the third derivative of -2*u**7/525 + 9*u**6/50 + 58*u**5/75 + 163*u**2. Factor r(i).
-4*i**2*(i - 29)*(i + 2)/5
Let i = 8 + -6. Suppose 4*m - 6 = i. Find d, given that 9*d**3 - 9*d**m + 3*d**4 + 5*d**4 + 0*d**2 - 11*d**4 + 3*d = 0.
0, 1
Let c(m) be the first derivative of -5/6*m**3 + 5/2*m**2 - 5/4*m**4 - 18 + 0*m + 1/2*m**5. Let c(z) = 0. Calculate z.
-1, 0, 1, 2
Suppose -12*r - 20/3*r**3 + 8/3 + 16*r**2 = 0. Calculate r.
2/5, 1
Suppose -s + 612 = 2*s + 2*r, 4*r = 4*s - 816. Let g = s + -202. Let 10/7*l**5 - 4/7 + 10/7*l - 4/7*l**4 - 20/7*l**3 + 8/7*l**g = 0. What is l?
-1, 2/5, 1
Let x(a) = -a + 13. Let q be x(10). Suppose -5*s + q*h + 0 = -3, 0 = 5*s + 5*h + 5. Factor -w**3 + s*w + 2*w - 2*w**2 + 3*w**3 + 6*w**2.
2*w*(w + 1)**2
Factor -3/2*o**2 - 11907/2 - 189*o.
-3*(o + 63)**2/2
Let q(a) = -a**2 - a + 1. Let h(o) = o**3 - 13*o**2 + 11*o + 2. Let d be h(12). Let n(y) = 2*y**3 - 4*y**2 - 4*y + 12. Let g(z) = d*q(z) + n(z). Factor g(u).
2*(u + 1)**3
Let s be (-4)/3 + (10353/(-126))/(-29). Let d be 7/6 - 2/3. Let 1/2*h**5 - s*h + h**2 + d - 3/2*h**4 + h**3 = 0. What is h?
-1, 1
Suppose 37 = 4*f + 37. Let g(k) be the second derivative of -3*k**2 + f + 11/2*k**3 - 4*k + 13/4*k**4. Factor g(m).
3*(m + 1)*(13*m - 2)
Let k = 21142/2065 - -14/295. Factor k*r - 162/7*r**2 - 8/7.
-2*(9*r - 2)**2/7
Let v be 3/4 - 1 - (-19)/76. Suppose -2*n + q + 9 = -v*q, 5*q + 13 = 2*n. Factor -1/7*b - 3/7*b**2 + 1/7*b**3 + 1/7*b**n + 2/7.
(b - 1)**2*(b + 1)*(b + 2)/7
Suppose 3*n - 2*i = -1811 + 1821, -2*n = 2*i + 10. Find q such that 8/5*q**2 + 28/5*q**3 + n*q + 0 = 0.
-2/7, 0
Let d be 8/10*35/2. Suppose -32 = -9*k - 14. Factor 2*h**k - 4*h**2 + 2*h - d*h - 12 - 6.
-2*(h + 3)**2
Let a(p) be the third derivative of p**8/294 + 8*p**7/245 + 19*p**6/140 + 67*p**5/210 + 13*p**4/28 + 3*p**3/7 + 168*p**2. Factor a(g).
2*(g + 1)**3*(2*g + 3)**2/7
Let m(t) = 11*t**3 + 58*t**2 + 61*t + 14. Let z(b) = -87*b**3 - 462*b**2 - 486*b - 111. Let h(y) = -33*m(y) - 4*z(y). Let h(q) = 0. Calculate q.
-3, -1, -2/5
Factor -80/21 - 44/21*p - 2/21*p**2.
-2*(p + 2)*(p + 20)/21
Let d(w) be the third derivative of w**8/28 - 26*w**7/105 + 17*w**6/30 - w**5/5 - 4*w**4/3 + 8*w**3/3 + 102*w**2 - 1. Factor d(t).
4*(t - 2)*(t - 1)**3*(3*t + 2)
Suppose -236/3*f**3 + 236/3*f - 4/3 + 41*f**2 - 119/3*f**4 = 0. What is f?
-2, -1, 2/119, 1
Let s(r) be the first derivative of r**6/2340 - r**5/780 - r**4/26 - 32*r**3/3 + 34. Let l(k) be the third derivative of s(k). Factor l(j).
2*(j - 3)*(j + 2)/13
Let u(a) be the third derivative of a**7/42 - 4*a**6/3 + 37*a**5/2 + 340*a**4/3 + 1445*a**3/6 - 2*a**2 + 148*a. Let u(v) = 0. Calculate v.
-1, 17
Let q(k) be the third derivative of -k**5/30 - 5*k**4/12 + 14*k**3/3 - 41*k**2 + 1. Factor q(y).
-2*(y - 2)*(y + 7)
Let h(f) be the third derivative of 2*f**7/105 + f**6/15 - f**5/15 - f**4/3 + 134*f**2 + 2. Suppose h(r) = 0. What is r?
-2, -1, 0, 1
Let d(z) = z**2. Let l(m) = -6*m**2 - m + 1. Let r(s) = -5*d(s) - l(s). Let j(y) = y**2 + y - 2. Let g(t) = j(t) - 2*r(t). Determine b, given that g(b) = 0.
-1, 0
Suppose -4*f = -7*f + 6. Suppose -p + 6 = -f. Factor -n**2 + n**2 + 4*n**3 - 12*n + p*n.
4*n*(n - 1)*(n + 1)
Suppose -137*l**3 + 66*l**3 - 34*l + 70*l**3 + 9*l + 10*l**2 = 0. What is l?
0, 5
Let l(i) be the third derivative of -i**7/105 + i**6/60 + i**5/15 + 162*i**2. Determine h, given that l(h) = 0.
-1, 0, 2
Let g(r) be the first derivative of 21 - 5/4*r**4 + 5/3*r**3 + 5*r**2 + 0*r. Factor g(u).
-5*u*(u - 2)*(u + 1)
Let m(o) be the first derivative of -o**4/18 + 38*o**3/27 - 83*o**2/9 + 130*o/9 - 994. Suppose m(b) = 0. Calculate b.
1, 5, 13
Let 4/7*j**5 + 72/7*j**3 + 0 + 4*j**4 + 80/7*j**2 + 32/7*j = 0. Calculate j.
-2, -1, 0
Let r(d) = 2*d**2 + 418*d + 1238. Let z be r(-3). Find k such that -1/2 + 1/4*k**z - 1/4*k = 0.
-1, 2
Let v = -11 + 14. Suppose -856*q**3 - 8*q**2 + 4*q**4 + 4 + 856*q**v = 0. Calculate q.
-1, 1
Let x(w) be the third derivative of w**6/420 - 2*w**5/35 + 9*w**4/28 + 227*w**2. Factor x(n).
2*n*(n - 9)*(n - 3)/7
Let l(f) be the first derivative of 3*f**5/40 - 21*f**4/32 - f**3 + 19. Factor l(s).
3*s**2*(s - 8)*(s + 1)/8
Suppose 8*g - 5*g - 37 = -5*y, 20 = 4*y. Let k(s) be the third derivative of 0*s + 1/18*s**g + 0*s**3 - 7/90*s**5 + 6*s**2 + 0. Factor k(b).
-2*b*(7*b - 2)/3
Let u(t) be the third derivative of 0*t**3 + 1/60*t**5 + 1/60*t**6 + 1/210*t**7 + 19*t**2 + 0 + 0*t + 0*t**4. What is r in u(r) = 0?
-1, 0
Let z(f) be the second derivative of f**5/420 + f**4/28 + 3*f**3/14 - 7*f**2/2 + 5*f. Let k(y) be the first derivative of z(y). Let k(n) = 0. What is n?
-3
Suppose 33*k + 16 = 35*k. Factor -8*r - 10 + 4*r + k*r + 25*r**2 + 11*r.
5*(r + 1)*(5*r - 2)
Let b be 0/((-6)/6 + 3). Let k be ((-1)/(-3))/((-3)/(-18)). Factor 2*g + b*g**k + g**2 + g + 5*g**2.
3*g*(2*g + 1)
Let s(v) be the second derivative of -v**7/84 + v**6/10 + v**5/5 - v**4/4 - 7*v**3/12 + 54*v. Suppose s(j) = 0. What is j?
-1, 0, 1, 7
Let w = 14739/7 - 2105. Factor 52/7*s**2 + 24/7*s**3 + w*s**4 + 16/7 + 48/7*s.
4*(s + 1)**2*(s + 2)**2/7
Let y = -179 - -179. Let v(n) be the third derivative of y*n**6 + 0*n**4 + 0*n**5 + 2/105*n**7 + 0*n + 3*n**2 - 1/168*n**8 + 0 + 0*n**3. Factor v(c).
-2*c**4*(c - 2)
Let z(q) = -41*q. Let y be z(0). Let h(t) be the third derivative of 0*t**4 + y*t + 1/20*t**5 + 0 + 0*t**3 + 7*t**2. Factor h(d).
3*d**2
Let j be (8/(-12) - (51/9 - 6))*-9. Factor -3/2*z**j + 3/2*z**2 + 9/2 + 15/2*z.
-3*(z - 3)*(z + 1)**2/2
What is d in -8192/9 - 256/9*d - 2/9*d**2 = 0?
-64
Factor 80*s**2 - 10 + 279*s**3 - 280*s**2 + 75*s - 29*s**3 + 35*s**5 - 150*s**4.
5*(s - 1)**4*(7*s - 2)
Let x be -4 - 1 - -5 - -3298. Factor 3*z**3 + 675*z + 45*z**2 + x + 77 - 2*z**3.
(z + 15)**3
Let w(m) = 5*m**2 - 3*m - 4. Let g(k) = -6*k**2 + 3*k + 4. Suppose n + 0 = -u - 2, -5*n - 40 = -5*u. Let y(o) = n*w(o) - 4*g(o). Factor y(d).
-(d - 4)*(d + 1)
Let z be ((-45)/4)/((-54)/120). Factor -z*b + 125/2 + 5/2*b**2.
5*(b - 5)**2/2
Solve 4/13*r**3 - 2/13*r**4 + 56/13*r**2 + 42/13 + 92/13*r = 0 for r.
-3, -1, 7
Let y(d) be the first derivative of 9*d**4/32 - 7*d**3/24 - d**2/8 + 45. Determine g, given that y(g) = 0.
-2/9, 0, 1
Determine o, given that -15*o + 0 - 5/4*o**2 = 0.