h. Determine p, given that y(p) = 0.
-5, 1
Let m(k) be the first derivative of 0*k + 5/39*k**3 - 33/2*k**2 + 43 - 1/26*k**4 + 1/390*k**5. Let q(p) be the second derivative of m(p). Factor q(i).
2*(i - 5)*(i - 1)/13
Let o(k) be the third derivative of -k**7/1890 + 13*k**6/360 - 89*k**5/270 + 23*k**4/18 - 68*k**3/27 - k**2 + 1568. Suppose o(x) = 0. What is x?
1, 2, 34
Let y = 4660211/3 - 1553403. Factor 0 - 1/6*v**2 + y*v**3 + 0*v.
v**2*(4*v - 1)/6
Let y(g) be the first derivative of 120*g**2 + 172 - 4/3*g**3 - 236*g. Factor y(q).
-4*(q - 59)*(q - 1)
Let g(t) = -4*t - 144. Let c be g(-4). Let o be 2/(-5 - (c/(-3))/(-8)). Determine z so that -432/7*z**2 + 240/7*z**3 + 96/7 - o*z**4 + 192/7*z = 0.
-2/7, 2
Let -308/3*g + 2/9*g**2 + 922/9 = 0. What is g?
1, 461
Let q(g) be the third derivative of -g**6/160 - 157*g**5/40 - 23345*g**4/32 + 25921*g**3 + 2149*g**2. Factor q(v).
-3*(v - 8)*(v + 161)**2/4
Let w(v) = 16*v**2 - 450*v - 578. Let j(f) = f**2 + 8*f - 1. Let p(m) = 28*j(m) - 2*w(m). Find x, given that p(x) = 0.
-1, 282
Let g be (3/63)/((1 - 1/2)*(-282)/(-423)). Factor 0 - g*j**3 - 100/7*j - 20/7*j**2.
-j*(j + 10)**2/7
Let n be (99820/(-897))/31*-1*12/7. Find r such that 2*r + n + 2/13*r**2 = 0.
-8, -5
Let z(c) be the second derivative of -c**4/24 + 95*c**3/6 + 191*c**2/4 - 12*c + 34. Factor z(l).
-(l - 191)*(l + 1)/2
Let a be -6 - (-180)/16 - -7*(-3)/84. Let l(y) be the third derivative of 0 + 1/240*y**a - 5/24*y**4 + 15*y**2 + 25/6*y**3 + 0*y. Factor l(z).
(z - 10)**2/4
Factor 15*p**3 + 28 - 1332*p - 28 - 63*p**2 + 1381*p - p**4.
-p*(p - 7)**2*(p - 1)
Let u be ((-682)/(-248) - 2)/((30/(-8))/(-1)). Find r, given that u*r - 7/5*r**2 + 7/5 - 1/5*r**3 = 0.
-7, -1, 1
Let i(d) be the third derivative of -d**6/30 + 8*d**5/15 - 2*d**4 - 875*d**2. Factor i(t).
-4*t*(t - 6)*(t - 2)
Suppose 5*g - 3625 = 5*h, -11*h = -16*h - 10. Factor -623 - 63*v + g + 4*v**2 - 41*v.
4*(v - 25)*(v - 1)
Let t(c) be the first derivative of 8*c**3 - 170*c**2 + 316*c + 1355. Suppose t(p) = 0. What is p?
1, 79/6
Let o be ((-2)/(6/(-45)*3 - 2748/(-1145)))/(-8). Factor -o*h**2 + 9/2 + 35/8*h.
-(h - 36)*(h + 1)/8
Let f(v) be the second derivative of -1/100*v**5 + 6*v + 0 + 0*v**2 - 17/3*v**3 + 0*v**4 + 1/1800*v**6. Let l(y) be the second derivative of f(y). Factor l(d).
d*(d - 6)/5
Suppose 0 = -s + 4*k - 16, 10*s - 2*k + 30 = 15*s. Find x such that 3*x**2 - 3*x**4 + x**4 - 8*x**3 - 5*x**2 + s*x**3 = 0.
-1, 0
Solve -110897 - 1293*f - 502*f**3 + 157*f**3 + 111347 + 12*f**4 + 1176*f**2 = 0.
3/4, 1, 2, 25
Let j(f) be the first derivative of -2*f**3/9 + 752*f**2 - 848256*f - 2302. Suppose j(h) = 0. What is h?
1128
Let s(c) be the third derivative of 1/560*c**7 + 22*c + 1/320*c**6 - c**2 + 0*c**3 + 0 + 0*c**5 + 0*c**4. Factor s(j).
3*j**3*(j + 1)/8
Let z(y) be the third derivative of 0*y - 19 - 1/15*y**7 + 3/2*y**4 + 61/120*y**6 + 0*y**3 - 7/5*y**5 + 1/336*y**8 + y**2. Let z(t) = 0. Calculate t.
0, 1, 6
Let z(a) be the second derivative of 0*a**5 + 0*a**2 + a**4 + 0*a**3 - 196*a - 1/10*a**6 + 0. Factor z(j).
-3*j**2*(j - 2)*(j + 2)
Let a(s) = 4*s**2 + 38*s + 116. Let r = 506 - 499. Let j(o) = o**2 + 13*o + 38. Let z(h) = r*j(h) - 2*a(h). Factor z(i).
-(i - 17)*(i + 2)
Let x be 3 - (0 - 4 - 2). Suppose 2*c = -i + x, 3*c + 3 = 2*c + i. Suppose 8 + 4 - 37*j + 30*j**3 + 5*j**c + 6*j**5 - 27*j**4 + j + 10*j**2 = 0. Calculate j.
-1, 1/2, 1, 2
What is x in 6266/5*x**2 + 44*x**3 + 2376*x + 5832/5 + 2/5*x**4 = 0?
-54, -1
Let j be (6/(-50))/(-3)*(-4 + (-261)/(-54)). Let z(h) be the first derivative of 0*h**3 + 0*h**2 + 0*h - 3/25*h**5 + 13 - j*h**6 + 0*h**4. Factor z(w).
-w**4*(w + 3)/5
Let p = 9/11450 + 9151/11450. Find d such that -8 + 36/5*d + p*d**2 = 0.
-10, 1
Factor -16/7 + 2/7*o**2 + 4/7*o.
2*(o - 2)*(o + 4)/7
Let u(z) be the second derivative of 0 + 5/6*z**3 - 49*z - 1/20*z**5 + 1/3*z**4 + 0*z**2. Factor u(b).
-b*(b - 5)*(b + 1)
Let b(d) be the first derivative of d**3/9 - 9*d**2 - 985. Factor b(q).
q*(q - 54)/3
Let 50*s + 0 - 148/3*s**2 - 2/3*s**3 = 0. Calculate s.
-75, 0, 1
Let s(q) be the second derivative of -3/7*q**2 + 2 + 1/7*q**4 - 9/14*q**3 + 81/140*q**5 - 2/7*q**6 + 54*q. Determine r so that s(r) = 0.
-2/5, -1/4, 1
Let n(v) be the second derivative of -v**7/140 + 7*v**6/360 - v**5/120 + 5*v**3/3 + 3*v - 4. Let c(z) be the second derivative of n(z). Factor c(o).
-o*(o - 1)*(6*o - 1)
Let m(q) be the third derivative of 0 + 0*q**3 + 1/220*q**6 - 2/55*q**5 + 233*q**2 + 1/385*q**7 - 1/11*q**4 + 0*q. Factor m(a).
6*a*(a - 2)*(a + 1)*(a + 2)/11
Let c(b) be the third derivative of -b**5/20 - 120*b**4 - 115200*b**3 + b**2 + 2280*b. Factor c(z).
-3*(z + 480)**2
Let g(y) be the first derivative of -60 + 15/2*y**2 + 5*y**4 - 65/3*y**3 + 0*y. Factor g(t).
5*t*(t - 3)*(4*t - 1)
What is f in 686/3 + 1/3*f**2 + 115*f = 0?
-343, -2
Let b be (-2 + 3)*(-32 + 35). Let p(r) be the first derivative of 4*r**2 - 4*r - 4/3*r**b + 12. Factor p(q).
-4*(q - 1)**2
Solve -5/2*l**4 - 1/8*l**5 + 63*l**2 - 54*l + 0 - 51/8*l**3 = 0.
-12, 0, 1, 3
Let o(s) be the second derivative of -s**4/3 + 302*s**3 - 1804*s**2 - 2197*s. Factor o(l).
-4*(l - 451)*(l - 2)
Suppose -275 = -26*t - 197. Let q(l) = -l. Let s(m) = -m**3 - 4*m**2. Let x be 1 + 0*2/4. Let f(d) = t*q(d) + x*s(d). Factor f(v).
-v*(v + 1)*(v + 3)
Suppose -4*h + 26*u + 24 = 23*u, 2*h - 4*u - 2 = 0. Suppose -18*n**4 + 12*n + 3*n**5 + n**2 + 24*n**4 - h*n**3 - 13*n**2 = 0. Calculate n.
-2, 0, 1
Let j(r) be the third derivative of r**6/900 + 91*r**5/450 - 589*r**4/180 - 679*r**3/45 - 7500*r**2. Find u, given that j(u) = 0.
-97, -1, 7
Let f(p) be the third derivative of -1/1680*p**7 - 13/32*p**5 + 9/320*p**6 + 169/192*p**4 + 2*p**2 + 0*p + 0*p**3 + 8. Determine b so that f(b) = 0.
0, 1, 13
Let y = -36996/31 - -296061/248. Determine x so that -y*x**3 + 0 + 0*x - 27/2*x**2 + 27/2*x**4 + 3/8*x**5 = 0.
-36, -1, 0, 1
Let n(k) = k**4 - 10*k**3 + 43*k**2 - 77*k + 50. Let f(z) = -z**3 + z**2 + z - 2. Let w(d) = -f(d) - n(d). Suppose w(l) = 0. Calculate l.
2, 3, 4
Let b be 39*(6 + (-1)/((-9)/(-51))). Factor b*s - 4*s**2 + 246 + 3*s - 226.
-4*(s - 5)*(s + 1)
Suppose 0 = 297*u - 306*u + 18. Let f be (((-11)/(-44))/1)/(u/4). Factor 0*w + 3/2*w**2 + w**3 - f*w**4 + 0.
-w**2*(w - 3)*(w + 1)/2
Suppose 36481/2 + 1/2*i**2 + 191*i = 0. What is i?
-191
Suppose 26*g + 914 = -3038. Let m = g + 156. Find x such that -15/2*x**2 + 0 - 3/2*x**5 + 3*x + 9/2*x**3 + 3/2*x**m = 0.
-2, 0, 1
Let n(t) be the second derivative of -9*t**6/10 - 303*t**5/10 - 3527*t**4/12 - 682*t**3/3 + 242*t**2 + 1253*t. Suppose n(l) = 0. Calculate l.
-11, -2/3, 2/9
Let n be 8/10 - (-5568)/1740. Let u(q) be the second derivative of 7/12*q**3 + 0 - 1/2*q**2 - 25*q - 1/8*q**n. Let u(z) = 0. Calculate z.
1/3, 2
Factor -48/19 + 2/19*p**2 - 4/19*p.
2*(p - 6)*(p + 4)/19
Let q(n) = -130 - 33*n + 48 - 3*n + 6*n + 2*n**2. Let k(t) = 5*t**2 - 89*t - 247. Let w(g) = 2*k(g) - 7*q(g). Factor w(c).
-4*(c - 10)*(c + 2)
Factor 1/5*z**4 + 0*z**2 + 0 + 18*z**3 + 0*z.
z**3*(z + 90)/5
Factor -72 - 278472*g**2 + 139233*g**2 + 139237*g**2 + 26*g.
-2*(g - 9)*(g - 4)
Let o(k) be the first derivative of -18*k + 1/15*k**3 + 0*k**2 + 1/25*k**5 - 28 + 1/10*k**4. Let j(p) be the first derivative of o(p). Factor j(v).
2*v*(v + 1)*(2*v + 1)/5
Factor -168 + 3/5*j**2 - 81/5*j.
3*(j - 35)*(j + 8)/5
Let n(v) be the second derivative of v**4/66 + 59*v**3/33 - 186*v**2/11 - 149*v - 3. Determine p so that n(p) = 0.
-62, 3
Let i be 15 - 456095/30875 - (-4)/50. What is h in 22/13*h**2 + 44/13*h**5 - i*h + 12/13*h**3 + 0 - 74/13*h**4 = 0?
-1/2, 0, 2/11, 1
Suppose -m + 11 = 4*u, 4*m - 2*u - u - 6 = 0. Suppose -18/7*a**2 - 1/7*a**m + 0*a + 0 = 0. Calculate a.
-18, 0
Let m(p) = -9*p**2 + 4*p + 3. Let k be ((-50)/(-125))/((-1)/(-10)). Let r(q) = 4*q**2 - 2*q - 2. Let v(f) = k*m(f) + 10*r(f). Solve v(s) = 0 for s.
-1, 2
Let b(s) be the second derivative of -2/21*s**4 + 18/7*s**3 - 8/35*s**6 - 28 - 4/5*s**5 + 2/147*s**7 + 4*s**2 + s. Let b(l) = 0. What is l?
-1, 1, 14
Let v(r) = r**3 - 4*r**2 - 3*r - 7. Let o be v(5). Find d, given that -3*d**5 - 7*d**4 - 3*d**4 - 12*d + 21*d**4 - 12*d**2 - 5*d**4 + 9*d**o = 0.
-1, 0, 2
Let g(a) = -a**3 + 60*a**2 + 105*a - 6295. Let s be g(60). Suppose y = 4*y. Suppose 2/3*w**4 + y + 2/3*w**3 + 0*w + 2/9*w**2 + 2/9*w**