(b) be the second derivative of -b**4/3 - 40*b**3/3 + 42*b**2 - 796*b. Suppose l(o) = 0. What is o?
-21, 1
Let k = 109 + -121. Let p(h) = -h**3 - 11*h**2 + 17*h + 65. Let s be p(k). Factor 8/19*l**2 - 2/19*l - 2/19*l**s - 12/19*l**3 + 8/19*l**4 + 0.
-2*l*(l - 1)**4/19
Factor 134/7*s - 66/7*s**3 - 1/7*s**4 + 0 + 69/7*s**2.
-s*(s - 2)*(s + 1)*(s + 67)/7
Let r(s) be the second derivative of -2*s**7/105 + 12*s**5/25 - 16*s**4/15 + 8*s - 26. Factor r(i).
-4*i**2*(i - 2)**2*(i + 4)/5
Let c(q) be the third derivative of 0 + 1/9*q**4 + 11*q**2 - 1/45*q**5 - 8*q**3 + 0*q + 1/540*q**6. Let h(n) be the first derivative of c(n). Factor h(y).
2*(y - 2)**2/3
Let v = 21/80 - -3331/720. Let k be 24/(-45)*20/(-6). Factor -10/9*b**3 - v*b**2 - k - 56/9*b.
-2*(b + 2)**2*(5*b + 2)/9
Let r(u) be the third derivative of 0*u - 10/3*u**3 + 1/126*u**7 + 5/18*u**4 - 1/12*u**6 + 5 + 1/4*u**5 + 12*u**2. Let r(w) = 0. Calculate w.
-1, 2, 3
Suppose x - 3*x = -v, 2 = -v + 3*x. Suppose 4*t + 2*j - 2 = 0, -t + 29*j - 33*j = -v. Factor 3/4*f**2 + 3/4*f**3 + t + 0*f.
3*f**2*(f + 1)/4
Let q(f) be the first derivative of 3*f**5/160 + f**4/4 - 5*f**3/4 + 176*f - 167. Let b(t) be the first derivative of q(t). Factor b(u).
3*u*(u - 2)*(u + 10)/8
Let d(u) be the second derivative of u**4/78 - 22*u**3/39 - 48*u**2/13 + 963*u. Suppose d(f) = 0. Calculate f.
-2, 24
Let v(m) be the second derivative of -m**8/1344 - m**7/56 - m**6/6 - 5*m**5/6 + 13*m**4/6 + 30*m. Let o(g) be the third derivative of v(g). Factor o(i).
-5*(i + 2)**2*(i + 5)
Let m(l) = 2*l**2 + 10*l + 2. Let z be m(-5). Suppose -5*d + 16 = 1. Factor -51 - z*c + 25 + c**d + 26 + c**2.
c*(c - 1)*(c + 2)
Factor 41/3*c**2 + 3/2 + 6*c**3 + 10*c + 5/6*c**4.
(c + 1)*(c + 3)**2*(5*c + 1)/6
Let j(i) = -2*i**2 + 2*i + 11. Let f(q) = 15*q**3 - 690*q**2 + 4365*q - 1671. Let p(a) = -f(a) - 3*j(a). Suppose p(c) = 0. Calculate c.
2/5, 7, 39
Let h(q) be the third derivative of -4*q**7/63 - 181*q**6/540 - q**5/90 + 20*q**4/9 + 4*q**3/27 + 2482*q**2. What is v in h(v) = 0?
-2, -1/60, 1
Let o(x) be the third derivative of 0 - 1/48*x**6 + 605/3*x**3 + 0*x - 15*x**2 - 43/24*x**5 - 275/6*x**4. Factor o(i).
-5*(i - 1)*(i + 22)**2/2
Let p be -3*(-2)/6 + (17 - 14). Let m(c) = 8*c**2 - 52*c + 40. Let o(b) = 9*b**2 - 53*b + 38. Let d(y) = p*o(y) - 3*m(y). Find f, given that d(f) = 0.
2/3, 4
Let q(v) be the first derivative of -3*v**5/5 + 27*v**4/4 + 4*v**3 - 54*v**2 - 1181. Suppose q(a) = 0. What is a?
-2, 0, 2, 9
Factor 316*f - 916*f**2 + 489*f**2 + 431*f**2.
4*f*(f + 79)
Let j(g) be the first derivative of -g + 1/3*g**3 - 1/8*g**2 - 42 + 1/16*g**4. Factor j(y).
(y - 1)*(y + 1)*(y + 4)/4
Let z(t) be the first derivative of 5*t**3 + 0*t**2 + 0*t + 110 - 3/4*t**4. Factor z(y).
-3*y**2*(y - 5)
Let o(f) be the third derivative of 11/204*f**4 - 3*f**2 - 1/1020*f**6 - 27*f + 6/17*f**3 + 0 - 4/255*f**5. Factor o(l).
-2*(l - 2)*(l + 1)*(l + 9)/17
Suppose 10 = -2*b + b - 3*h, 5*h = 4*b - 28. What is u in -1458 - 2*u**b - 13*u + u - 112*u + 16*u = 0?
-27
Let c(r) be the second derivative of r**4/84 - 19*r**3/14 + 4*r**2 - 1905*r. Factor c(z).
(z - 56)*(z - 1)/7
Let o(g) be the first derivative of g**6/1080 - g**5/20 + 17*g**4/72 + 22*g**3/3 - 102. Let s(k) be the third derivative of o(k). Factor s(i).
(i - 17)*(i - 1)/3
Let d(l) = -13*l**4 + 376*l**3 + 1199*l**2 + 795*l - 10. Let v(r) = -19*r**4 + 564*r**3 + 1797*r**2 + 1193*r - 14. Let n(c) = 7*d(c) - 5*v(c). Factor n(z).
4*z*(z - 50)*(z + 1)*(z + 2)
Let k(u) be the second derivative of -138*u - 7/4*u**5 - 1/42*u**7 + 0 + 0*u**2 + 6*u**3 - u**4 + 2/5*u**6. Suppose k(v) = 0. What is v?
-1, 0, 1, 6
Factor -24*x - 5*x**2 + 0 + 7/4*x**3 + 1/4*x**4.
x*(x - 4)*(x + 3)*(x + 8)/4
Suppose -5*t + 3*c + 322 = 0, 0 = -2*t + 2*c + 170 - 38. Suppose 49 = -t*v + 297. Factor 7/2 + 1/2*n**2 + v*n.
(n + 1)*(n + 7)/2
Let q(k) be the second derivative of -k**4/48 - 19*k**3/8 - 81*k**2/4 - 118*k. Find m such that q(m) = 0.
-54, -3
Let v be ((-95)/361)/((-16)/304). Suppose v*m + 5/3*m**2 + 10/3 = 0. What is m?
-2, -1
Let y(m) be the third derivative of 0 + 1/10*m**6 - 10*m**2 - 3/2*m**3 + 0*m + 1/6*m**4 + 1/5*m**5. Let o(x) be the first derivative of y(x). Factor o(v).
4*(3*v + 1)**2
Let b(p) be the third derivative of -p**6/240 + 3*p**5/4 - 143*p**4/16 + 85*p**3/3 - 2211*p**2 - 2. Factor b(w).
-(w - 85)*(w - 4)*(w - 1)/2
Find y, given that -16/9*y + 10/9*y**3 + 0 + 2/9*y**4 + 4/9*y**2 = 0.
-4, -2, 0, 1
Let f = 745/5192 - 12/649. Let k(t) be the first derivative of 0*t + 14 + f*t**2 - 5/16*t**4 + 3/20*t**5 + 1/12*t**3. Find a such that k(a) = 0.
-1/3, 0, 1
Let n(k) = -k**2 + k - 1. Let o(h) = -h**2 - 27*h - 64. Let f(s) = -4*n(s) + 2*o(s). Factor f(r).
2*(r - 31)*(r + 2)
Let w(r) be the third derivative of r**8/672 - r**7/21 + 83*r**6/240 + r**5/6 - 7*r**4/4 - 1566*r**2. Determine t, given that w(t) = 0.
-1, 0, 1, 6, 14
Let t(f) = -20*f - 5 + 2 + 7. Let c be t(-1). Factor c*z - 8 + 17 + 6*z**2 + 2*z - 5*z.
3*(z + 3)*(2*z + 1)
Let p(n) be the second derivative of n**7/4620 - n**6/330 - n**5/165 + 2*n**4/11 - 41*n**3/6 + 6*n + 8. Let s(d) be the second derivative of p(d). Factor s(i).
2*(i - 6)*(i - 2)*(i + 2)/11
Suppose -81663/7*x - 167334/7 + 996/7*x**2 - 3/7*x**3 = 0. Calculate x.
-2, 167
Determine h, given that -63*h - 14*h - 9*h + 33 + 31 - 30*h**3 + 35*h**3 + 17*h**2 = 0.
-32/5, 1, 2
Solve 270 + 3/4*l**4 - 411*l + 423/2*l**2 - 153/4*l**3 = 0 for l.
2, 45
Suppose 0 = 3*b - 15*b + 48. Solve -17*w**2 + 4*w - w - 3*w**3 - w**b + 18*w**2 = 0.
-3, -1, 0, 1
Let o = 1210661/5447853 + -3/605317. Factor 2/3*c**2 - o*c**4 - 8/9*c - 8/9 + 4/9*c**3.
-2*(c - 2)**2*(c + 1)**2/9
Let i be (10/26)/(1/2). Suppose 7386 = -1296*r + 7386. Suppose 2/13*q - 4/13*q**4 + r + i*q**3 - 8/13*q**2 = 0. Calculate q.
0, 1/2, 1
Suppose 14*c + 8 = 18*c. Find y, given that 4*y**4 + 14 + 264*y**c - 216*y**2 - 40*y - 24*y**3 - 2 = 0.
1, 3
Let d(z) = z**2 - 9*z + 11. Let v be d(8). Let w(t) = -23*t**3 + 480*t**2 + 63*t + 2. Let f be w(21). What is o in -1/5*o**f - 1/5*o + 1/5 + 1/5*o**v = 0?
-1, 1
Let s(j) be the third derivative of -j**5/30 - j**4/2 + 1147*j**3/3 + 383*j**2. Suppose s(u) = 0. Calculate u.
-37, 31
Let f be (2349/18 + -1)/((-1)/2). Let d = 1045/4 + f. Let 0 + 1/2*b - 5/4*b**4 + d*b**3 - 7/4*b**2 + 1/4*b**5 = 0. What is b?
0, 1, 2
Let n(c) be the first derivative of -7*c**6/66 + 72*c**5/55 - 195*c**4/44 + 50*c**3/33 - 909. Factor n(h).
-h**2*(h - 5)**2*(7*h - 2)/11
Let d = -28282 - -28282. Let y(r) be the third derivative of 0*r + 1/350*r**7 - 3/25*r**5 - 8/5*r**3 + 1/200*r**6 - 24*r**2 - 7/10*r**4 + d. Factor y(v).
3*(v - 4)*(v + 1)*(v + 2)**2/5
Suppose 22*x + 8*x = -11*x - 4*x. Find n such that 2/3*n**4 + 242/3*n**2 - 44/3*n**3 + x*n + 0 = 0.
0, 11
Let n(d) be the third derivative of d**5/80 + 837*d**4/16 + 700569*d**3/8 - 1653*d**2. Factor n(w).
3*(w + 837)**2/4
Suppose -1 = -3*c - 2*o, 0 + 17 = 3*c - 2*o. Let t = 142 - 138. Let t*s**c - 5*s**3 - 39*s + 39*s = 0. Calculate s.
0
Let k(s) be the first derivative of s**4 - 20*s**3/3 - 92*s**2 - 160*s + 12. Let k(h) = 0. Calculate h.
-4, -1, 10
Let u(c) be the second derivative of -c**5/4 + 65*c**4/12 - 275*c**3/6 + 375*c**2/2 + c + 535. Find h such that u(h) = 0.
3, 5
Let s(b) be the third derivative of -b**5/6 + 37*b**4/3 - 29*b**3 - 2*b**2 - 14. Factor s(z).
-2*(z - 29)*(5*z - 3)
Let j = -427473 + 1282420/3. Factor 2 - j*x**2 - 5/3*x.
-(x - 1)*(x + 6)/3
Let d(q) be the second derivative of 1/3*q**4 + 41*q - 1 - 9*q**2 + 1/20*q**5 - 1/2*q**3. What is m in d(m) = 0?
-3, 2
Let o be ((-15)/(-10) + -1)/((-6)/24). Let k be -1*o*(-1 + (-25)/(-10)). Find r such that -1/4*r**k + 9/4*r + 5/4 + 3/4*r**2 = 0.
-1, 5
Factor -1420/9*m**2 + 0 + 158/9*m**3 - 2*m.
2*m*(m - 9)*(79*m + 1)/9
Let k(n) = -26*n - 35. Let b be k(-2). Suppose -2*p + u - 4 = -4*p, -4*u = -3*p + b. Factor -5/4*o**p + 0 + 1/2*o - 3/4*o**2.
-o*(o + 1)*(5*o - 2)/4
Let k(y) = 3*y**2 - 2*y - 2. Let i(q) = -24*q**2 + 4812*q + 1915221. Let f(l) = -i(l) - 9*k(l). Factor f(r).
-3*(r + 799)**2
Factor 1/2*d**4 - 9/2*d**3 - 27/2*d + 5 + 25/2*d**2.
(d - 5)*(d - 2)*(d - 1)**2/2
Let u = -258 + 265. Let -7 - u + 84*q**2 - 18*q**2 - 10 + 10*q**3 + 32*q = 0. What is q?
-6, -1, 2/5
Determine q so that -52/7*q**2 + 0 + 48/7*q + 52/7*q**4 - 44/7*q**3 - 4/7*