rd derivative of l(b). What is w in d(w) = 0?
-6, 0
Let j(k) = 2*k**2 + 1059*k + 3161. Let y be j(-3). Factor 2/13*g**4 + 0*g - 6/13*g**3 + 4/13*g**y + 0.
2*g**2*(g - 2)*(g - 1)/13
Let l(y) be the third derivative of y**5/15 - 8*y**4 + 94*y**3/3 + 19*y**2 - 17*y. Factor l(x).
4*(x - 47)*(x - 1)
Let y(s) be the first derivative of s**4/18 + 16*s**3/27 - 145*s**2/9 + 272*s/9 - 6561. Factor y(k).
2*(k - 8)*(k - 1)*(k + 17)/9
Let m be (1 - 0)/(-11 + 35802/3255). Let i = 3281/3 + m. Factor -16/3 - u**2 - i*u.
-(u + 8)*(3*u + 2)/3
Let x(d) = d**4 - d**3 + d + 1. Let p(v) = 10*v**4 - 1015*v**3 + 61685*v**2 - 1078675*v + 5703125. Let o(y) = -p(y) + 5*x(y). Factor o(h).
-5*(h - 89)**2*(h - 12)**2
Factor -25 + 5*g**3 + 3*g**3 - 6078*g - 6*g**2 - g**4 + 6038*g.
-(g - 5)**2*(g + 1)**2
Factor -1/4*i**4 - 3959/2*i**2 - 179/4*i**3 + 4050 + 2115*i.
-(i - 2)*(i + 1)*(i + 90)**2/4
Let m(s) = -35*s - 137. Let g be m(-4). Suppose -2*k + 16 = -40. Factor 15*v**3 + 10*v**3 - 21*v**g + k*v + 20*v**2 + 12.
4*(v + 1)**2*(v + 3)
Let q(o) be the first derivative of -5*o**3/3 + 1055*o**2/2 + 1060*o - 1667. Factor q(z).
-5*(z - 212)*(z + 1)
Let t(c) be the third derivative of c**7/420 - 17*c**6/240 + 31*c**5/120 - 5*c**4/16 - 1290*c**2. Factor t(v).
v*(v - 15)*(v - 1)**2/2
Let d(m) be the third derivative of -m**9/1680 - m**8/2240 - m**4/12 - 5*m**3/6 - 69*m**2. Let v(j) be the second derivative of d(j). Factor v(k).
-3*k**3*(3*k + 1)
Let d = 592 - 584. Let i be d/18 - (-30)/(-270). Determine p, given that 1/3 - 7/12*p**2 + i*p - 1/4*p**4 - 5/6*p**3 = 0.
-2, -1, 2/3
Let i be ((-330144)/(-4224))/181 + 1*(-1)/4. Solve -56/11*q - i*q**2 - 392/11 = 0 for q.
-14
Let u be 5 - 5512/106*(-1)/(-12). Determine c, given that -2/9*c**2 - 2/9*c**5 - 2/3*c**4 + 0*c - u*c**3 + 0 = 0.
-1, 0
Let l(u) be the first derivative of -u**5/15 - 29*u**4/12 - 97*u**3/9 + 31*u**2/2 + 150*u + 2173. Factor l(w).
-(w - 2)*(w + 3)**2*(w + 25)/3
Let s(c) be the third derivative of c**8/6720 - c**6/360 + 34*c**3/3 + 26*c**2. Let f(z) be the first derivative of s(z). Factor f(p).
p**2*(p - 2)*(p + 2)/4
Let g = 879 + -800. Let q = -67 + g. Factor q*d**3 + 1/3*d**5 - 18*d**2 + 9*d + 0 - 10/3*d**4.
d*(d - 3)**3*(d - 1)/3
Let p = 224958 + -224956. Factor 4/3 + 14*a + 33*a**p - 121/6*a**3.
-(a - 2)*(11*a + 2)**2/6
Let z(a) be the second derivative of a**5/5 + 89*a**4/3 + 116*a**3 + 7*a - 9. Determine v so that z(v) = 0.
-87, -2, 0
Let w(d) be the second derivative of -d**4/24 + 331*d**3/12 + 501*d**2/2 - d + 3180. Find r, given that w(r) = 0.
-3, 334
Suppose -5*v - 26 = -46. Let -28*w**5 - 530*w**3 + 79*w**2 + 294*w**3 - 24*w + 179*w**v + 61*w**2 - 31*w**4 = 0. What is w?
0, 2/7, 1, 3
Suppose -18 - 10 = -4*z + 6*q, 5*q = -5*z + 10. Let k be 7 + (138/33 - z) + -7. Factor -4/11*a**3 + 3/11 + 4/11*a - 1/11*a**4 - k*a**2.
-(a - 1)*(a + 1)**2*(a + 3)/11
Let k(c) be the second derivative of -3*c**4/16 + 25*c**3/2 + 11554*c. Factor k(w).
-3*w*(3*w - 100)/4
Factor -106*z**3 - 4689*z**2 - 297039103 - 2053493*z + 35*z**3 - 127223180 - 389476*z + 68*z**3.
-3*(z + 521)**3
Suppose 50 = 50*q - 50. Suppose 6*m**q - 200*m + 20667 - 137*m - 309*m - 3*m**2 + 148*m = 0. Calculate m.
83
Factor 22*q - 2/7*q**2 + 820/7.
-2*(q - 82)*(q + 5)/7
Let w(f) = -2*f**3 + 20*f**2 - 3*f + 33. Let x be w(10). Let i**2 - 51*i**4 - 6*i**x - 14*i**3 - 5*i**2 - 16*i**5 + 19*i**4 = 0. Calculate i.
-1, -1/2, 0
Let k = -133149 + 133149. Factor 0 - 6/11*f**3 - 2/11*f**4 + 8/11*f**2 + k*f.
-2*f**2*(f - 1)*(f + 4)/11
Let k(x) be the second derivative of x**9/60480 - 3*x**8/8960 + x**7/1260 + 37*x**4/12 + 11*x - 1. Let f(y) be the third derivative of k(y). Factor f(q).
q**2*(q - 8)*(q - 1)/4
Let w = 2899/279 - 925/93. Factor -4/9*p**3 + 2/9*p**5 - 14/9*p + 4/9 - w*p**4 + 16/9*p**2.
2*(p - 1)**4*(p + 2)/9
Let n = 116639/42 - 2777. Let w(a) be the third derivative of 18*a**2 + 4/7*a**3 + 0*a - n*a**4 + 0 - 1/105*a**5. Factor w(v).
-4*(v - 1)*(v + 6)/7
Let n = 466 + -464. Let t be n - 196/70 - 4/(-5). Suppose 3/7*s + t + 3/7*s**4 + 9/7*s**3 + 9/7*s**2 = 0. Calculate s.
-1, 0
Let w = -132907/6 + 44313/2. Find n such that 16/3 - 4/3*n**4 - w*n**3 - 4*n**2 + 16/3*n = 0.
-2, -1, 1
Suppose 0*k - 1/7*k**3 + 0 + 29*k**2 = 0. What is k?
0, 203
Find c, given that -1605/4*c**2 - 1596*c - 183/8*c**3 - 1764 - 3/8*c**4 = 0.
-28, -3, -2
Let s(p) be the third derivative of -p**7/280 + 11*p**6/80 - 79*p**5/80 - 51*p**4/16 - 905*p**2. Solve s(g) = 0.
-1, 0, 6, 17
Let p = 389 + -370. Let g(h) be the first derivative of 4/3*h**3 - 8*h**2 + 12*h - p. Let g(r) = 0. What is r?
1, 3
Let a(c) be the first derivative of 0*c**2 - 17 - 3/4*c**3 + 3/16*c**4 + 0*c. What is y in a(y) = 0?
0, 3
Let z(v) be the second derivative of v**5/10 - 34*v**4/3 + 1280*v**3/3 - 4096*v**2 - 3674*v. Let z(q) = 0. What is q?
4, 32
Let d be (64/(-384))/((-18)/12 + (2 - 1)). Let y(q) be the first derivative of -6*q + 5/2*q**2 - 3 + d*q**3. Determine a, given that y(a) = 0.
-6, 1
Let z(d) = -d**3 + 10*d**2 - 15*d - 11. Let v be z(8). Let i = 5 + v. Solve -15 - 5 + 108*o - 144*o**i + 64*o**3 - 7 = 0.
3/4
Let n(a) = a**2 - 23*a - 75. Let j be n(26). What is p in 61 - 29*p + 73 - 21*p**2 + 9*p - 34*p**2 + 5*p**j + 86 = 0?
-2, 2, 11
Suppose -2*l + 3 = 11, 48*y - 16 = 40*y + 4*l. Let y*x - 64/7*x**2 + 4/7*x**5 + 0 - 36/7*x**4 + 96/7*x**3 = 0. What is x?
0, 1, 4
Let g(z) = 6*z**5 - 2*z - 13*z**4 - 3*z**2 + 27*z**3 + 9*z**4 + 7*z**4 - 26*z**3. Let d(u) = -u**5. Let v(o) = -10*d(o) - 2*g(o). Solve v(p) = 0.
-2, -1, 0, 1
Let u(g) be the third derivative of 46*g**2 + 0 + 0*g + 0*g**3 - 5/24*g**4 - 1/8*g**6 - 1/4*g**5 - 1/42*g**7. Factor u(j).
-5*j*(j + 1)**3
Let f(y) = 2*y**3 + 28*y**2 - 2753*y - 36125. Let c be f(-13). Let -1/2*m**c - 6 - 4*m = 0. What is m?
-6, -2
Solve 64/7*o + 0 + 2/7*o**3 + 36/7*o**2 = 0.
-16, -2, 0
Suppose 3*i - 5*d + 59 = 0, -i = -613*d + 618*d - 67. Suppose 8*w - 63/2*w**i - 8*w**3 - 1/2*w**4 + 32 = 0. Calculate w.
-8, -1, 1
Let f = -186 + 190. Let h(m) be the first derivative of -2/3*m - 7/6*m**2 - 5/12*m**f - m**3 - 2 - 1/15*m**5. Factor h(r).
-(r + 1)**3*(r + 2)/3
Let m(w) = 23*w**3 - w**2 - w. Let l(r) = 97*r**3 + 71*r**2 - 94*r - 160. Let v(g) = -l(g) + 4*m(g). Factor v(j).
-5*(j - 2)*(j + 1)*(j + 16)
Let m(a) = a**2 + 123*a + 362. Let q be m(-120). Let v(w) be the third derivative of 0*w + 11*w**q + 25/36*w**4 - 7/270*w**5 + 0 + 22/27*w**3. Factor v(d).
-2*(d - 11)*(7*d + 2)/9
Suppose -464*o + 462*o + 2*h = 6, 3*o + 5*h - 47 = 0. Let u(w) be the second derivative of 1/3*w**3 + 0*w**2 - 15*w - 1/12*w**o + 0. Let u(i) = 0. Calculate i.
0, 2
Let t(f) be the first derivative of 3/2*f**4 - 13/3*f**3 - 12 - 4*f + 6*f**2 - 1/5*f**5. Factor t(q).
-(q - 2)**2*(q - 1)**2
Let t(y) be the first derivative of 0*y - 252 + 1/9*y**3 + 5/2*y**2. Factor t(g).
g*(g + 15)/3
Factor -318/5*j - 156/5*j**2 - 32 + 2/5*j**3.
2*(j - 80)*(j + 1)**2/5
Let q be -2 + 1206/14 + 37/(-259). Suppose -q*j = -80*j. Factor -1/6*x**3 - 1/2*x**4 - 1/3*x**5 + 0 + 0*x**2 + j*x.
-x**3*(x + 1)*(2*x + 1)/6
Let m(u) = -10 + 17 - 10*u + 14 + 6 + u**2. Let g be m(5). Factor 2*b**4 - 4*b**4 + 7*b**3 + 76*b**2 - 78*b**g - 3*b**3.
-2*b**2*(b - 1)**2
Let t(i) be the first derivative of -2*i**6/3 + 32*i**5/5 + 45*i**4 + 48*i**3 + 26. Suppose t(c) = 0. Calculate c.
-3, -1, 0, 12
Let h(p) be the second derivative of p**5/80 - p**4/32 + 48*p**2 - 16*p + 6. Let x(j) be the first derivative of h(j). Factor x(m).
3*m*(m - 1)/4
Let p(t) be the third derivative of t**6/300 - 61*t**5/75 + 899*t**4/15 + 7688*t**3/15 - 7*t**2 + 4*t - 4. Factor p(g).
2*(g - 62)**2*(g + 2)/5
Let n(y) be the third derivative of -y**5/100 - 21*y**4/40 + 13*y**3 - 518*y**2. Solve n(z) = 0 for z.
-26, 5
Suppose 894 = 309*o + 329*o - 132*o - 118. Solve 13/7*q**o - 1/7*q**3 - 13/7 + 1/7*q = 0.
-1, 1, 13
Suppose 4*b - 3 = -a + 8, 5*b - 20 = 5*a. Suppose 9*y - 5*y - 20 = -4*j, 2*j + 15 = b*y. Factor 3/5*m**4 + 6/5*m**3 - 3/5 + j*m**2 - 6/5*m.
3*(m - 1)*(m + 1)**3/5
Factor 268448*j**2 - 256373*j**3 - 9*j**5 - 3040*j**4 - 211326*j**2 + 0*j**5.
-j**2*(j + 169)**2*(9*j - 2)
Let x(q) be the third derivative of -1 + 131*q**2 - 21/10*q**4 + 1/100*q**5 + 882/5*q**3 + 0*q. What is a in x(a) = 0?
42
Let m(s) be the third derivative of -s**6/600 - 34*s**5/75 - s**2 + 55*s - 6. Fa