derivative of 13*y**4/3 + 5*y**3/6 - 8*y**2 - 2*y. Let x be b(-4). Solve -7*i**5 - 2*i**4 - 796*i + x*i = 0 for i.
-2/7, 0
Suppose o = 2*a - 6, -3*a + 16 = 2*o - 7. Factor 5*k**a + 5*k**4 - 7*k**3 + 15*k**2 - 29*k**3 + 11*k**3.
5*k**2*(k - 1)**2*(k + 3)
Let q(m) be the first derivative of m**6/216 + 41*m**5/120 - 25*m**4/36 - 55*m**3/3 + 55. Let c(f) be the third derivative of q(f). Factor c(r).
(r + 25)*(5*r - 2)/3
Suppose 4*d + 2*h = 158, -3*d + 4*h + 121 = 6*h. Suppose d*y = -6*y + 86. Find m, given that -33/2*m**4 - 141/2*m**y - 63*m**3 + 6 - 18*m = 0.
-2, -1, 2/11
Let a be (14 - 0)/(33/(-6) - -5). Let r(g) = -g**3 - 28*g**2 - g - 25. Let f be r(a). Factor -1/2*d**2 + 0*d + 0 - 1/4*d**f.
-d**2*(d + 2)/4
Let y(r) be the second derivative of 3/11*r**3 + 17/66*r**4 - r + 3/110*r**5 - 5/11*r**2 + 7. Factor y(w).
2*(w + 1)*(w + 5)*(3*w - 1)/11
Suppose -94*b + 98*b = -j - 7, -5*j + 3*b + 34 = 0. Suppose 5*c + 14 = w + c, 0 = 4*w + 3*c + 1. Factor u**2 + 8*u + 16 - 4 - j*u**w.
-4*(u - 3)*(u + 1)
Let o be (-42)/12 - 589/(-152). Let c(d) be the first derivative of 0*d**2 + o*d - 1/8*d**3 + 13. Factor c(j).
-3*(j - 1)*(j + 1)/8
Let w(p) be the first derivative of 5*p**4/4 - 40*p**3/3 - 40*p**2 + 640*p - 2937. Determine k so that w(k) = 0.
-4, 4, 8
Let a(r) be the second derivative of r**7/1890 - 7*r**6/540 + r**5/15 + 23*r**4/4 - 100*r. Let z(g) be the third derivative of a(g). What is t in z(t) = 0?
1, 6
Let j(v) = 21*v**3 + 46*v**2 + 217*v + 192. Let r(k) = k**3 - k. Let c(b) = 2*j(b) - 38*r(b). Solve c(w) = 0.
-16, -6, -1
Let l(s) = -149*s - 167. Let g be l(-5). Let i = -578 + g. Suppose -8/3*h**2 - 2/3*h**4 + 0*h + i + 10/3*h**3 = 0. Calculate h.
0, 1, 4
Let s(k) = 3 + 50*k**2 - 6*k - 11*k - 36. Let l(c) = 25*c**2 - 9*c - 16. Suppose 0 = 19*a - 968 + 1082. Let w(y) = a*s(y) + 13*l(y). Factor w(z).
5*(z - 1)*(5*z + 2)
Suppose 0 = u - 22*u + 252. Determine w, given that -15*w**2 - 5*w**5 + 37*w**3 + 15*w**4 - 20*w - u*w**3 + 0*w = 0.
-1, 0, 1, 4
Let y(i) be the first derivative of i**6/3 - 26*i**5/5 - 9*i**4/2 + 242*i**3/3 - 40*i**2 - 312*i + 1611. Solve y(f) = 0 for f.
-3, -1, 2, 13
Let 2/13*y**5 + 22/13*y**2 - 12/13*y - 6/13*y**4 - 6/13*y**3 + 0 = 0. Calculate y.
-2, 0, 1, 3
Suppose 11 = -3*n + 7*n - 3*k, 17 = 4*n - k. Factor 23*y**5 + 25*y**3 + 6*y**4 - 27*y**3 - 24*y**4 - 3*y**n.
2*y**3*(y - 1)*(10*y + 1)
Let o(t) = -48*t**3 - 456*t**2 + 504*t - 16. Let v(d) = -d**4 + 48*d**3 + 457*d**2 - 504*d + 12. Let k(c) = -3*o(c) - 4*v(c). Factor k(l).
4*l*(l - 18)*(l - 1)*(l + 7)
Let s(r) be the second derivative of -r**5/5 - 14*r**4/3 - 32*r**3 - 394*r. Let s(w) = 0. What is w?
-8, -6, 0
Factor 0 - 6*s**2 + 0*s + 1/6*s**4 - 3/2*s**3.
s**2*(s - 12)*(s + 3)/6
Suppose 0 = 4*v - 8, -16*v + 15*v + 42 = 5*t. Let h(b) = 26*b**2 + 8*b + 6. Let z(s) = -3*s**2. Let d(o) = t*z(o) + h(o). Factor d(k).
2*(k + 1)*(k + 3)
Suppose 179*t**3 - 176*t**3 - 9*t**2 - 181 + t**4 + 169 - 23*t = 0. What is t?
-4, -1, 3
Let p = -2/57 + 7/19. Let h be (4/30)/((-15)/(-150)). Factor s**2 + 0 - p*s**3 + h*s.
-s*(s - 4)*(s + 1)/3
Let k(q) be the second derivative of q**5/40 + 7*q**4/6 + 53*q**3/12 + 13*q**2/2 - 2872*q. Factor k(a).
(a + 1)**2*(a + 26)/2
Solve 156/5*t**2 - 2/5*t**4 - 2*t**3 + 448 + 1216/5*t = 0 for t.
-7, -4, 10
Factor 2811 - 2819 - 19*h - h**5 - 34*h**2 + 7*h + 7*h**3 + 36*h**2.
-(h - 2)**2*(h + 1)**2*(h + 2)
Let o(a) be the second derivative of -a**6/30 + 11*a**5/20 - 13*a**4/6 + 8*a**3/3 - 2175*a. Find i such that o(i) = 0.
0, 1, 2, 8
Let b = 1303883/1738512 + 1/1738512. Let -57/4 + b*h**2 + 27/2*h = 0. Calculate h.
-19, 1
Find t, given that -3/4*t**3 + 159/4*t**2 + 1443/4*t + 1281/4 = 0.
-7, -1, 61
Let k be ((-1)/(-21))/((-1)/(-3)). Let i = -418442 + 2929096/7. Solve 0 + v**3 - 4/7*v**4 - k*v - i*v**2 = 0.
-1/4, 0, 1
Suppose -30607*k + 54 = -30589*k. Factor 15/2*x + 15/2*x**4 + 15*x**k + 3/2 + 3/2*x**5 + 15*x**2.
3*(x + 1)**5/2
Suppose 610*l = 2*x + 607*l + 8, -4*x - l + 12 = 0. Let i(w) be the first derivative of 5*w**x - 15 + w**5 - 5/3*w**3 - 5/2*w**4 + 0*w. Factor i(g).
5*g*(g - 2)*(g - 1)*(g + 1)
Let u = 546 - 541. Suppose 0 = u*h, h - 12 = 43*t - 47*t. Factor -54/7 - 3/7*o**t + 9/7*o + 12/7*o**2.
-3*(o - 3)**2*(o + 2)/7
Let l(q) be the first derivative of -4*q**3/3 - 296*q**2 + 5652*q + 6161. Suppose l(s) = 0. Calculate s.
-157, 9
Let z(f) be the second derivative of 3/10*f**5 + 1/15*f**6 - 4*f - 1/6*f**4 - f**3 - 18 + 0*f**2. Factor z(u).
2*u*(u - 1)*(u + 1)*(u + 3)
Let f(y) be the first derivative of -5*y**3/6 + 10573*y**2/4 + 2115*y + 2511. Factor f(s).
-(s - 2115)*(5*s + 2)/2
Factor 0 + 31*h**2 + 19/5*h**3 + 24/5*h.
h*(h + 8)*(19*h + 3)/5
Let l(j) = 3443*j + 750578. Let g be l(-218). Solve 10/13*s**3 - 2/13*s**g - 8/13 + 10/13*s**2 - 2/13*s**5 - 8/13*s = 0 for s.
-2, -1, 1, 2
Let j(a) be the first derivative of -a**4/12 - 154*a**3/9 + 52*a**2 + 649. Factor j(s).
-s*(s - 2)*(s + 156)/3
Let k(g) be the third derivative of -g**5/220 - 5*g**4/33 - 8*g**3/11 + 1246*g**2. Determine v so that k(v) = 0.
-12, -4/3
Let f(o) be the first derivative of 4 + 0*o - 12*o**2 + 0*o**3 - 43 - 24*o**3 - 2*o. Factor f(p).
-2*(6*p + 1)**2
Let u be (-12)/32*4 + (-28)/(-8). Factor -19*j**2 + 42*j + 79*j**2 + 21*j**2 + 36*j**4 + 120*j**3 + 64*j**2 - 21*j**u - 2*j**5.
-2*j*(j - 21)*(j + 1)**3
Let z(o) = 9*o - 52. Let c be z(6). Suppose -16 - 78*p + 51 - 16 - 22 - 507*p**c = 0. Calculate p.
-1/13
Suppose 6*p + 3*p = 9. Suppose 0 = -3*g - p + 7. Factor -9 + o**g - 17 + 14*o - 23 - 2*o**2.
-(o - 7)**2
Let w(m) be the second derivative of -m**4/84 - 1238*m**3/21 - 766322*m**2/7 + 230*m - 9. Factor w(v).
-(v + 1238)**2/7
Let w be (-3 - 1/1) + 3 - -3. Suppose 2*o + 4*z - 2 = 2*z, o = -w*z - 2. Suppose -6 + 7 + u**2 + o + 6*u = 0. What is u?
-5, -1
Suppose 6 = -3*p + 3*o, 2*p = 2*o + 3*o - 19. Let 9*k**5 - 30*k**4 + 27*k**3 + 68*k + 3*k**p - 83*k + 6 = 0. What is k?
-2/3, 1
Let x be 105618/138968 + (-3)/4. Let q = x + 9566/1797. Solve -32/3*s + 0 - q*s**2 - 2/3*s**3 = 0.
-4, 0
Let q(m) be the first derivative of 2*m**2 - 1/3*m**3 + 10 - 1/120*m**5 + 0*m + 1/12*m**4. Let t(a) be the second derivative of q(a). Factor t(n).
-(n - 2)**2/2
Let y(n) be the first derivative of n**8/420 - n**7/210 - n**6/45 - 6*n**3 + 42. Let g(i) be the third derivative of y(i). Factor g(m).
4*m**2*(m - 2)*(m + 1)
Let l(q) be the first derivative of -q**6/6 - 18*q**5/5 - 33*q**4/4 - 16*q**3/3 + 1297. Solve l(m) = 0.
-16, -1, 0
Let q(g) be the third derivative of g**8/588 - 8*g**7/735 - 11*g**6/210 + 2*g**5/7 - 4*g**2 + 191. Find b, given that q(b) = 0.
-3, 0, 2, 5
Factor -10/3*y - 700/9 + 8/3*y**2 + 2/9*y**3.
2*(y - 5)*(y + 7)*(y + 10)/9
Let t be 4/7*42/4. Factor -7 + 2*q**2 - 1 + 0 + q**3 - t*q + 2*q.
(q - 2)*(q + 2)**2
Suppose 0 - 5710/9*j + 2/9*j**2 = 0. Calculate j.
0, 2855
Let p be (14/44)/((-24 + (-7700)/(-320))*2). Factor -p*j**2 + 18/11*j**3 + 2/11*j + 8/11.
2*(j - 1)**2*(9*j + 4)/11
Let g = 3862 + -92687/24. Let c(p) be the third derivative of -1/120*p**5 - 1/12*p**3 - g*p**4 + 2*p**2 + 0*p + 0. Determine b so that c(b) = 0.
-1
Let r(q) = q**3 + 147*q + 276. Suppose 0*n - 16 = -4*n - 4*d, -n - 4*d = 2. Let l(c) = -10*c**3 - 1615*c - 3035. Let o(h) = n*l(h) + 65*r(h). Factor o(j).
5*(j - 6)*(j + 3)**2
Let y = -1406 + 1409. Let t be 22/y + -1*7. Solve 0 + 1/6*s**3 - 1/2*s**2 + t*s = 0.
0, 1, 2
Suppose -2*k - 14 = -10. Let v(a) = a**3 - 7*a**2 - a + 2. Let n = -1 - -11. Let d(c) = -c**2. Let r(u) = k*v(u) + n*d(u). Factor r(s).
-2*(s - 2)*(s - 1)*(s + 1)
Let a(f) be the third derivative of -f**5/20 + 29*f**4/8 + 195*f**3 + 2574*f**2. Suppose a(o) = 0. What is o?
-10, 39
Let m = -9 - -21. Suppose 12*s = 8*s + m. Suppose -19*w**5 + 6*w**5 - 8*w + 4*w**4 + 18*w**s + 7*w**5 = 0. What is w?
-1, 0, 2/3, 2
Factor -40*t**2 + 16 - 14151*t**3 + 264 + 7072*t**3 + 244*t + 7075*t**3.
-4*(t - 5)*(t + 1)*(t + 14)
Factor -5097*r + 5529*r + 1278 + 3*r**2 - r**2.
2*(r + 3)*(r + 213)
Let y(d) be the first derivative of -27*d**4/10 - 287*d**3/5 + 24*d**2/5 - 1999. Factor y(t).
-3*t*(t + 16)*(18*t - 1)/5
Let b(s) be the first derivative of s**3/12 + 993*s**2/4 + 986049*s/4 + 61. Factor b(d).
(d + 993)**2/4
Let t be 0/(17 + -76 - -48). Factor t*y**3 + 0*y + 256/3 - 32/3*y**2 + 1/3*y**4.
(y - 4)**2*(y + 4)**2/3
Factor -9