ird derivative of -y**6/360 - y**5/3 + 31*y**4/18 + 2*y**2 - 44*y - 8. Let v(g) = 0. Calculate g.
-62, 0, 2
Let j(q) = 27*q - 4. Let f be j(-5). Let b = 143 + f. Factor 6 + b*i**2 + 2*i**2 - 9*i - 3*i**2.
3*(i - 2)*(i - 1)
Let v(i) be the third derivative of -i**6/40 - 9*i**5/20 + 273*i**4/8 - 1127*i**3/2 + 11*i**2 - i - 13. Determine n so that v(n) = 0.
-23, 7
Let q(r) be the third derivative of r**6/40 + 7*r**5/10 + 43*r**4/8 + 15*r**3 + 768*r**2. Factor q(v).
3*(v + 1)*(v + 3)*(v + 10)
Let y(b) be the first derivative of -b**6/15 - 4*b**5/25 + 11*b**4/10 + 8*b**3/5 - 36*b**2/5 - 1116. Factor y(r).
-2*r*(r - 2)**2*(r + 3)**2/5
Let o(j) = 16*j**3 - 137*j**2 - 709*j - 578. Let f(x) = 6*x**3 - 46*x**2 - 236*x - 192. Let n(i) = -11*f(i) + 4*o(i). Factor n(q).
-2*(q + 1)*(q + 10)**2
Suppose -8*z = 28*z + 101 - 101. Find h such that -5/7*h**3 - 4/7*h + 8/7*h**2 + 1/7*h**4 + z = 0.
0, 1, 2
Let c(y) be the first derivative of 21 - 1/21*y**4 + 0*y + 1/105*y**5 + 2/21*y**3 + 7*y**2. Let j(n) be the second derivative of c(n). Factor j(o).
4*(o - 1)**2/7
Let r(u) be the first derivative of u**8/168 + u**2 + 7*u - 1. Let l(f) be the first derivative of r(f). Let w(c) be the first derivative of l(c). Factor w(q).
2*q**5
Suppose m + 3*m - 72 = -u, 2*u = -5*m + 93. Suppose -5 = 4*j - m. Factor 4*p**5 - 2*p**3 + 10*p**4 + 2*p**2 + 7*p**j + 3*p**3.
2*p**2*(p + 1)**2*(2*p + 1)
Factor -325*r - 2750/3 - 20*r**2 + 5/3*r**3.
5*(r - 22)*(r + 5)**2/3
Let u(k) be the second derivative of -k**5/90 + 244*k**4/27 - 967*k**3/9 + 482*k**2 + 2*k - 227. Solve u(n) = 0 for n.
3, 482
Let -77 - h**3 + 14*h**3 + 3*h - 27*h**4 + 81 + 40*h**3 - 37*h**2 + 4*h**5 = 0. What is h?
-1/4, 1, 4
Let v(o) be the second derivative of -9*o**5 - 49*o**4/3 - 8*o**3/3 + 2*o - 225. Factor v(p).
-4*p*(p + 1)*(45*p + 4)
Let z(p) = 12*p**3 + 354*p**2 + 5694*p + 24606. Let x(f) = -27*f**3 - 707*f**2 - 11387*f - 49233. Let l(r) = -3*x(r) - 7*z(r). Factor l(m).
-3*(m + 9)**2*(m + 101)
Let c = -83 + 97. Factor 24*i**2 + i**3 - 12*i - c - 5*i**3 - 29 + 3.
-4*(i - 5)*(i - 2)*(i + 1)
Let i(m) be the first derivative of 2*m**5/25 + m**4/5 - 14*m**3/15 + 4*m**2/5 - 1423. Let i(f) = 0. What is f?
-4, 0, 1
Let t be (-106)/(-150) - (57 - (-133856)/(-2350)). Factor -16/3 + 10/3*j**2 + t*j**3 + 4/3*j.
2*(j - 1)*(j + 2)*(j + 4)/3
Let a = 5419/2168 + 1/2168. Let x(g) be the second derivative of 0 - 9/2*g**2 - a*g**3 + 3/20*g**5 - 1/4*g**4 + 4*g. Factor x(f).
3*(f - 3)*(f + 1)**2
Factor 0 + 7/2*l**4 + 1/2*l**5 + 4*l + 9*l**3 + 10*l**2.
l*(l + 1)*(l + 2)**3/2
Let y(o) = 3*o + 36. Suppose 3*n = 3*r - 51, -n - 2 = -0*r + 2*r. Let k be y(n). Find l such that 1/4*l + k + 1/4*l**2 = 0.
-1, 0
Let x(c) be the first derivative of c**6/18 + 76*c**5/15 - 13*c**4/2 - 76*c**3/9 + 77*c**2/6 - 1909. Solve x(s) = 0 for s.
-77, -1, 0, 1
Let w(t) be the first derivative of -t**5 - 100*t**4 + 170*t**3 + 4140*t**2 - 18225*t - 10948. Let w(v) = 0. What is v?
-81, -5, 3
Suppose 6*u = -4*u - 70. Let d be (-3 - u)*(-15)/(-10). Find f, given that d*f**5 - 3/7*f - 39/7*f**3 - 6/7 - 51/7*f**4 + 57/7*f**2 = 0.
-1, -2/7, 1/2, 1
Let b = 617/2853 + 334/2853. Determine w so that 1/3*w - 2/3 - b*w**3 + 2/3*w**2 = 0.
-1, 1, 2
Let v(w) be the second derivative of -w**6/360 + w**5/40 + 5*w**4/12 - w**3/3 - 33*w**2/2 - 4*w - 2. Let o(h) be the second derivative of v(h). Factor o(p).
-(p - 5)*(p + 2)
Let o be 20/370 + -48 + (-147904)/(-1776). Determine v, given that o*v + 2/3*v**4 - 34*v**2 - 12 + 10*v**3 = 0.
-18, 1
Let 296/7*j**2 + 604/7 + 2/7*j**3 - 902/7*j = 0. Calculate j.
-151, 1, 2
Let u(n) be the first derivative of -n**4/2 + 50*n**3/3 + 218*n**2 + 384*n + 4732. Find h, given that u(h) = 0.
-6, -1, 32
Let q(y) be the third derivative of -y**10/25200 - 43*y**9/211680 + y**7/4410 - 37*y**5/60 + 34*y**2. Let s(w) be the third derivative of q(w). Solve s(i) = 0.
-2, -1/3, 0, 2/7
Suppose 10 = -5*c - 4*p + 27, -p - 1 = -4*c. Let s be (-2 + 3)*(c + 1). Let 845 - 10*g**2 + 16*g**s - 130*g - g**2 = 0. Calculate g.
13
Let d(g) be the third derivative of -2/5*g**5 - 19/30*g**6 - 2/35*g**7 + 0 + 0*g - 99*g**2 + 0*g**3 + 4/3*g**4 + 1/42*g**8. Determine t so that d(t) = 0.
-2, -1, 0, 1/2, 4
Suppose 126 = 40*i - 62 - 132. Factor -i*b - 2/5*b**2 - 40.
-2*(b + 10)**2/5
Let q(d) be the first derivative of 4/9*d**3 - 3/2*d**4 - 120 + d + 7/3*d**2 - 7/15*d**5 + 2/9*d**6. Determine t so that q(t) = 0.
-1, -1/4, 1, 3
Let j(f) = -f**3 - 7*f**2 + 13*f + 0*f**3 - 19*f. Let t be j(-6). Factor 0*a**2 + t*a**2 - a**2 - 2*a + 0 - 1.
-(a + 1)**2
Let q be (-11 - 29)/((-5)/2). Let r(v) = 65*v**2 - 21 - 17*v**2 + 1 + 12*v. Let k(n) = 16*n**2 + 4*n - 7. Let b(a) = q*k(a) - 5*r(a). Find h such that b(h) = 0.
-1, 3/4
Factor 804*i**2 - i**5 - 51*i**4 + 102*i**4 + 552*i - 3*i**5 + 189*i**3 + 189*i**3 + i**5.
-3*i*(i - 23)*(i + 2)**3
Suppose 5*c = 4*n + 439, -n + 467 = 5*c + 2*n. Let o be 1248/c + 4/14. Factor 19*j - 3*j + o*j - j**5 - 40*j**2 + 20*j**3 - j**5 - 8.
-2*(j - 1)**4*(j + 4)
Let b be (12/(-64))/((-15)/2). Let o(m) be the second derivative of 1/6*m**2 + b*m**5 - 5/36*m**3 - 1/18*m**4 + 0 - 35*m. Factor o(n).
(n - 2)*(n + 1)*(3*n - 1)/6
Let u(o) be the second derivative of 0 - 6*o**3 + 9/8*o**5 - 3*o**2 - 25/8*o**4 + 29/20*o**6 + 9/28*o**7 - 8*o. Determine b, given that u(b) = 0.
-2, -1, -2/9, 1
Let p(c) be the first derivative of c**4/16 - 7*c**3/4 - c**2/2 + 21*c + 3861. Let p(m) = 0. Calculate m.
-2, 2, 21
Let u = -132 + 137. Factor 2*o**2 - 6*o**2 - 9*o + 6 + 12*o - u*o.
-2*(o - 1)*(2*o + 3)
Determine d so that -1/6*d**2 - 101/6*d + 17 = 0.
-102, 1
Suppose 5057 = 16*j + 449. Suppose -41067*l**2 + 41875*l**2 + j*l**4 - 752*l**3 + 31 - 28*l**5 + 25 - 372*l = 0. Calculate l.
2/7, 1, 7
Let j = -1608 + 987. Let f be 23/(j/(-72)) + 1 + -3. Factor 2/3*i - f*i**2 + 4/3.
-2*(i - 2)*(i + 1)/3
Let x(h) be the third derivative of -4*h**7/11 - 883*h**6/660 - 631*h**5/330 - 47*h**4/33 - 20*h**3/33 - h**2 - 12*h + 26. Suppose x(a) = 0. What is a?
-1, -5/12, -2/5, -2/7
Factor -700928 + 34*o**3 - 49728*o + 14752*o**4 + 50*o**3 - 14754*o**4 + 1313*o**2 + 173*o**2.
-2*(o - 37)**2*(o + 16)**2
Let g(w) be the second derivative of 4*w**2 + 0 + 13/5*w**5 - 2/3*w**6 - 3*w**4 - 2/3*w**3 + 71*w. Factor g(m).
-4*(m - 1)**3*(5*m + 2)
Suppose -10 = -5*m - 2*w, 4 + 1 = 4*m + w. Let r(h) be the first derivative of -8 - 2*h**3 - 1/2*h**6 + 3/2*h**2 + 6/5*h**5 + m*h**4 + 0*h. Factor r(o).
-3*o*(o - 1)**3*(o + 1)
Suppose 8*z**5 - 124/3*z + 4 - 80/3*z**3 - 67/3*z**4 + 235/3*z**2 = 0. Calculate z.
-2, 1/8, 2/3, 1, 3
Let t(k) = -2*k + 3. Let z be t(1). Let b be z/2 + (-15)/(-10). Factor -75 + 7*s**2 - 5*s**2 + 30*s - 5*s**b.
-3*(s - 5)**2
Suppose -1/6*r**3 - 203/3*r**2 - 1104 + 1648/3*r = 0. What is r?
-414, 4
Solve 57*q**4 - 806 + 10*q**3 - 5*q**5 - 1074 - 5*q + 5788*q**2 - 2028*q**2 - 1623*q**4 - 314*q**4 = 0 for q.
-376, -1, 1
Let o = 37 + -35. Factor 21*f**o - 3*f**3 - 292 - 45*f + 151 + 168.
-3*(f - 3)**2*(f - 1)
Determine m so that -37*m**3 - 15*m**5 + 19*m**3 + 58*m**3 - 20*m**4 - 7*m - 18*m - 10 + 30*m**2 = 0.
-2, -1, -1/3, 1
Let y = 19151 - 19148. Let n(x) be the first derivative of -14/3*x**y - 26 - 10*x + 11*x**2 + 1/2*x**4. Suppose n(g) = 0. Calculate g.
1, 5
Let c(o) = o**2 + o. Let u be c(4). Let 415*n**3 - 23*n**5 + 48*n**5 + 165*n**2 + 80*n**5 + 316*n**4 + 39*n**4 - 20*n - u = 0. Calculate n.
-1, -2/3, 2/7
Let k(n) be the first derivative of 63 - 5/4*n**4 + 10*n**2 - 20/3*n**3 + n**5 + 0*n. Factor k(m).
5*m*(m - 2)*(m - 1)*(m + 2)
Let b be 7/(-35) - (1 - 16/5). Solve -145*u + 18 + 40*u + 5*u**b - 18 = 0 for u.
0, 21
Let h(i) be the first derivative of 3032184375*i**4 - 9801000*i**3 + 11880*i**2 - 32*i/5 + 1824. Suppose h(o) = 0. What is o?
2/2475
Suppose -c - 51 = -22*c + 4*c. Let x(o) be the first derivative of o - 2/3*o**2 + 1/3*o**4 - 2/9*o**c - 1/15*o**5 + 10. Solve x(k) = 0.
-1, 1, 3
Let m = -698 + 705. Let d = -1 + 3. Suppose -6*i**3 - m*i**3 + 3*i**d - i**2 + 7*i**3 = 0. Calculate i.
0, 1/3
Let a(h) be the third derivative of 3*h**2 + 1/30*h**6 + 0*h**3 - 1/105*h**7 - 1/168*h**8 - 5 + 0*h**4 + 0*h + 0*h**5. Suppose a(x) = 0. Calculate x.
-2, 0, 1
Factor -2*x**3 + 408*x**2 + 120786 + 8274517*x + 32878 - 8296861*x.
-2*(x - 98)**2*(x - 8)
Let q(z) = 46*z**2 - 104*z - 470. Let r(y