) be the third derivative of w(b). Factor a(v).
-3*(v - 1)*(v + 23)
Let q(w) be the third derivative of -1 + 0*w + 20/33*w**3 + 1/660*w**5 + 41/264*w**4 - 8*w**2. Find d such that q(d) = 0.
-40, -1
Let i(w) be the third derivative of -5/54*w**3 + 0 + 111*w**2 - 1/540*w**5 - 1/36*w**4 + 0*w. Factor i(g).
-(g + 1)*(g + 5)/9
Let r = -5885 + 5888. Let d(i) be the third derivative of -1/20*i**5 + 0*i + 1/3*i**r + 0 - 9*i**2 + 5/24*i**4. What is f in d(f) = 0?
-1/3, 2
Suppose 8*y - 3*y = 3*q + 319, -2*y + 109 = 5*q. Suppose -y = -17*a + 6. Factor 4/3 - 2*m**3 - a*m + 1/3*m**4 + 13/3*m**2.
(m - 2)**2*(m - 1)**2/3
Suppose -4*l - 5*v - 27 = 0, -20*v - 34 = -3*l - 16*v. Suppose 0 = 5*h - 2*j + j - 17, 4*h = 4*j + 20. Factor -1/4*m**l - 1/4*m + 1/4*m**h + 1/4.
(m - 1)**2*(m + 1)/4
Suppose -9*u = -4*u - 90. Let g be (-48)/u*(-3)/2. Factor -g*v**3 + 6*v + 10*v + 0*v**3.
-4*v*(v - 2)*(v + 2)
Suppose 18 = 80*y - 73 - 69. Let m be (1/22)/(4/16). Let 0 - m*k**y - 4/11*k = 0. Calculate k.
-2, 0
Suppose -2*m - 3*j + 8*j = 1, -j = -1. Find b, given that -49 - 2*b**m + 45 - 5*b - b = 0.
-2, -1
Let o be (-2)/3*-30*(-3)/(-12). Let x be 20/8*6/o. Factor 6*u**3 + u**x - 6*u**2 - 10*u**2 - 3*u**3.
4*u**2*(u - 4)
Let a(c) be the first derivative of c**5/25 - 7*c**4/10 - c**3 + 646. What is z in a(z) = 0?
-1, 0, 15
Suppose 3*d = -5*k + 51, 76*d - 78*d + 5*k = 41. Let -8/7 - 10/7*i - 2/7*i**d = 0. Calculate i.
-4, -1
Let g(s) be the first derivative of -s**5/12 + 5*s**4/2 - 30*s**3 - 7*s**2/2 - 4*s + 15. Let u(b) be the second derivative of g(b). Solve u(m) = 0 for m.
6
Suppose -w - 15 = -4*n + 2*w, -3*n + 27 = 3*w. Suppose 0*f = 2*f + 2*c - 6, 0 = 2*f - 5*c - n. Factor 7*g - 17*g + 33*g**3 + 5*g**2 - 28*g**f.
5*g*(g - 1)*(g + 2)
Let q(k) be the second derivative of -k**5/20 - 59*k**4/4 + 179*k**3/3 + 788*k. Let q(y) = 0. Calculate y.
-179, 0, 2
Let k(u) be the second derivative of -5*u**4/12 + 45*u**3/2 - 275*u**2 + 3084*u. Factor k(o).
-5*(o - 22)*(o - 5)
Let v(m) be the second derivative of -1/8*m**4 + 0 + 230*m + 0*m**2 + 5/24*m**3 + 1/80*m**5. Find l, given that v(l) = 0.
0, 1, 5
Let y(a) be the second derivative of -a**5/70 + 2*a**4/21 + 19*a**3/21 + 2*a**2 - 60*a + 2. Let y(s) = 0. What is s?
-2, -1, 7
Let t(f) be the first derivative of 3*f**2/2 - 22*f + 95. Let a be t(8). Let -2/3*j**3 + 2/9*j**4 + 2/3*j**a + 0 - 2/9*j = 0. What is j?
0, 1
Let s = -5428410/7 + 775488. Factor 1/7*b**2 - 1 + s*b.
(b - 1)*(b + 7)/7
Let j be (-186)/(-66) - (-4)/22. Factor 139*h + 46*h + 22*h**2 + 31*h**2 - 5*h**j + 130 + 4*h**2 - 7*h**2.
-5*(h - 13)*(h + 1)*(h + 2)
Let u(y) = -2*y**3 - 8*y**2 + 7*y + 3. Let o be u(1). Suppose 0 = 5*t - 3*d + 5, 2*d = -5*t - 2*d + 30. Factor 0*c + o - 4/19*c**t + 18/19*c**3.
2*c**2*(9*c - 2)/19
Let j be -4 + (-7)/((-21)/(-135)). Let y = j - -52. Factor 164 - y*i**4 + 2*i**4 - 165 + 2*i**2.
-(i - 1)**2*(i + 1)**2
Let i(f) be the second derivative of -f**4/90 + 634*f**3/45 - 100489*f**2/15 + 5*f + 2. Factor i(g).
-2*(g - 317)**2/15
Let r(i) be the third derivative of -i**7/210 + 491*i**6/480 + 127*i**5/240 - 491*i**4/96 - 41*i**3/8 - 1093*i**2. Solve r(z) = 0 for z.
-1, -1/4, 1, 123
Let d(i) = -18*i + 5*i + 14*i. Let v(q) = -2*q**2 + 26*q. Let t(w) = -2*d(w) + v(w). Let t(f) = 0. What is f?
0, 12
Let o(s) = 79*s**3 - 444*s**2 + 1410*s + 1899. Let j(q) = 14*q**3 - 74*q**2 + 235*q + 317. Let m(t) = -34*j(t) + 6*o(t). Solve m(f) = 0 for f.
-77, -1, 4
Suppose 77*r = 83*r + 1218. Let p be (6 + r/28)*2/(-5). Find k such that 3/4*k**4 + 1/4*k**3 - p*k**2 + 0*k + 0 = 0.
-1, 0, 2/3
Let l = 10938 + -10935. Let r(d) be the third derivative of 0*d + 1/27*d**4 - 8*d**2 + 0 - 1/540*d**6 - 4/27*d**l + 1/270*d**5. Let r(c) = 0. Calculate c.
-2, 1, 2
Let p(t) be the first derivative of 4*t**3 + 274*t**2 + 360*t - 5031. Factor p(j).
4*(j + 45)*(3*j + 2)
Factor -30*n**3 + 116*n**4 - 6*n**2 - 119*n**4 + 9*n**3 + 0*n**3 + 12*n**3.
-3*n**2*(n + 1)*(n + 2)
Let j(f) be the second derivative of 3*f**3/2 - 8*f**2 + 123*f. Let l be j(2). Factor 0*z - 1/3*z**l + 0 - 1/3*z**3.
-z**2*(z + 1)/3
Let z = 44 + -41. Suppose -4*m = z*l - 108, -m + 2 = 2*l - 30. Determine y, given that 14*y**4 - 15*y**5 - m*y**4 + 16*y**4 = 0.
0, 2/5
Solve 0 - 30/11*x + 17/11*x**4 + 271/11*x**2 - 138/11*x**3 = 0 for x.
0, 2/17, 3, 5
Suppose -3*c + 3789 = -4*k, k - 498 = -c + 772. Factor 1266*t - 2*t**2 - c*t - t**2 + 2*t**2.
-t*(t + 1)
Let h(j) be the third derivative of j**8/1344 + j**7/21 - 11*j**6/20 + 271*j**5/120 - 457*j**4/96 + 23*j**3/4 - 6793*j**2. Factor h(w).
(w - 3)*(w - 1)**3*(w + 46)/4
Find s, given that -328 - 12*s**2 + 336*s - 78*s**2 + 79*s**3 - 24*s**3 - 53*s**3 = 0.
2, 41
Solve -14478*u + 3254 + 10825 - 231*u**3 + 142*u**3 - 3*u**4 + 324*u**2 + 167*u**3 = 0.
-13, 1, 19
Let m(d) be the second derivative of 3*d**5/160 + 21*d**4/2 + 335*d**3/16 - 3*d + 362. Factor m(l).
3*l*(l + 1)*(l + 335)/8
Suppose -40 = -2*c - 34. Let -27*f**c + 59*f**3 - 28*f**3 + 14*f**5 - 18*f**4 = 0. What is f?
0, 2/7, 1
Let t(o) be the second derivative of o**6/30 - o**5/10 - 65*o**4/4 + 196*o**3/3 - 98*o**2 - 1659*o. Factor t(z).
(z - 14)*(z - 1)**2*(z + 14)
Let q(j) be the first derivative of -j**5/180 - j**4/18 + 7*j**3/6 + 45*j**2/2 - 102. Let d(a) be the second derivative of q(a). Suppose d(z) = 0. What is z?
-7, 3
Let m(y) be the second derivative of y**7/21 + 29*y**6/15 + 81*y**5/10 + 79*y**4/6 + 26*y**3/3 - 676*y. Factor m(t).
2*t*(t + 1)**3*(t + 26)
Solve -310*u + u**3 + 6212 - 5972 + 75*u**2 - 6*u**3 = 0.
1, 6, 8
Let k(g) be the second derivative of g**7/294 - g**6/21 - g**5/35 + 11*g**4/6 + 7*g**3/2 + 6792*g. Factor k(b).
b*(b - 7)**2*(b + 1)*(b + 3)/7
Suppose -972 = 130*u - 6172. Determine v so that -48*v**2 - u*v - 2/5*v**4 - 42/5*v**3 + 0 = 0.
-10, -1, 0
Let n = 175 + -172. Factor 4*q**2 + n*q**4 - 21*q**5 - 4*q**3 - 4*q**4 + 11*q**5 + 11*q**5.
q**2*(q - 2)*(q - 1)*(q + 2)
Factor -1408/7 - 120/7*x**2 - 4/7*x**3 - 768/7*x.
-4*(x + 4)**2*(x + 22)/7
Let j(d) = d**3 - 11*d**2 - 16*d - 9. Let o be j(13). Let -210*k + 260*k**2 - 5*k**4 + o - 191 - 30*k**3 - 99 - 277 - 49 = 0. Calculate k.
-11, -1, 3
Let b(n) be the second derivative of -n**4/78 - 16*n**3/13 - 287*n**2/13 - 2874*n. Find f, given that b(f) = 0.
-41, -7
Let h(p) be the second derivative of -70*p + 0*p**2 + 1/6*p**4 - 10/3*p**3 + 0. Find r such that h(r) = 0.
0, 10
Let l(y) = -y**3 + 45*y**2 - 47*y + 164. Let f be l(44). Let p be (f/(-18) - -2) + 928/522. Suppose 0 + 1/8*t**3 + 5/8*t**p + 1/2*t = 0. Calculate t.
-4, -1, 0
Let x be -3*(58/(-18) - -4)*27300/(-2940). Let 20/3*y + 5*y**5 - 10/3*y**4 - x*y**3 + 0 + 40/3*y**2 = 0. What is y?
-2, -1/3, 0, 1, 2
Let i be ((-52)/8)/(213/(-213)). Factor -3/2*h**3 + i*h**2 - 4*h - 6.
-(h - 3)*(h - 2)*(3*h + 2)/2
Find y, given that 1/2*y**2 - 55*y - 339/2 = 0.
-3, 113
Let a(m) be the first derivative of 30*m - 9/16*m**4 + 57/2*m**2 + 11/2*m**3 - 14. Let a(f) = 0. What is f?
-2, -2/3, 10
Solve -5/4*v**5 + 375/2*v**3 + 190*v**2 + 0 + 60*v**4 + 255/4*v = 0.
-1, 0, 51
Let o(i) be the third derivative of 1/15*i**5 + 0 + 0*i**4 - 46*i**2 + 0*i + 1/60*i**6 + 0*i**3 - 1/105*i**7. Factor o(d).
-2*d**2*(d - 2)*(d + 1)
Let b(f) be the first derivative of 20*f + 10*f**2 - 79 - 5/4*f**4 - 5/3*f**3. Suppose b(q) = 0. What is q?
-2, -1, 2
Let m = -482234 - -482236. What is j in 0*j + 1/5*j**m - 4/5 = 0?
-2, 2
Find o, given that -4/7*o**2 - 496/7*o - 1920/7 = 0.
-120, -4
Let x(b) = 5*b**4 + 2*b**3 - 5*b**2 + b. Let v(y) = 5*y - 31. Let m be v(6). Let c(u) = u**3. Let z(p) = m*x(p) + 3*c(p). Suppose z(o) = 0. Calculate o.
-1, 0, 1/5, 1
Let 40/7*h**4 + 88/7*h**2 + 2/7*h**5 - 128/7 + 134/7*h**3 - 136/7*h = 0. Calculate h.
-16, -2, -1, 1
Suppose 0 = -z + 9, 3*s - 1 = -5*z + 44. Factor 3/2*a**5 + 0*a - 9/2*a**3 + 3*a**2 + 0*a**4 + s.
3*a**2*(a - 1)**2*(a + 2)/2
Suppose -1/4*g**3 + 59/2 + 30*g**2 - 237/4*g = 0. What is g?
1, 118
Let z(h) be the third derivative of -5*h**8/336 + 11*h**7/42 + 7*h**6/12 - 2*h**5 + 202*h**2. Let z(k) = 0. Calculate k.
-2, 0, 1, 12
Let m(q) be the third derivative of -q**8/144 + 17*q**7/315 + 41*q**6/180 - 11*q**5/9 + 31*q**4/24 + q**3 - 4*q**2 + 5*q + 2. Let m(d) = 0. Calculate d.
-3, -1/7, 1, 6
Suppose -164 = -33*q + 34. Let w(u) be the third derivative of 16/39*u**3 - 1/780*u**q - 3*u**2 - 2/1