ive of -5*k**4/12 - 3250*k**3 - 9506250*k**2 - 532*k. Determine x so that p(x) = 0.
-1950
Let o = 89 + -83. Let t(b) = -28*b**3 + 93*b**2 - 84*b - 3. Let r(f) = f**3 - f**2 + f + 1. Let s(z) = o*r(z) + 2*t(z). Factor s(q).
-2*q*(5*q - 9)**2
Let i(r) be the second derivative of -r**7/56 + 121*r**6/120 - 1349*r**5/80 + 841*r**4/16 + 19*r**3/3 - 361*r**2/2 + 296*r - 3. Solve i(m) = 0 for m.
-2/3, 1, 2, 19
Let f(d) be the third derivative of 1/140*d**7 + 0 + 13/40*d**5 - 27*d - 3/4*d**4 - 3/40*d**6 + d**3 - 2*d**2. Factor f(c).
3*(c - 2)**2*(c - 1)**2/2
Suppose 2*k + 16 = -30*p + 35*p, -8 = -10*p - 4*k. Let a(t) be the second derivative of 0 + 1/21*t**4 - 10/21*t**3 + 12/7*t**p + t. Find l such that a(l) = 0.
2, 3
Find t, given that 63*t + 52*t - 47*t - 3*t**2 + 64*t = 0.
0, 44
Let x = -1040 - -537. Let u = x - -4029/8. Determine r so that -u*r - 1/2*r**2 - 1/8*r**3 - 1/4 = 0.
-2, -1
Let g(r) = -29*r**2 - 1421*r - 1392. Let w be g(-48). Factor -901/6*u**2 - 289/6*u - 1/2*u**4 - 103/6*u**3 + w.
-u*(u + 17)**2*(3*u + 1)/6
Let t be 1134/(-2268) - (-9)/2. What is c in -4*c**2 + 7/4*c**3 + 0 - 1/4*c**t + 3*c = 0?
0, 2, 3
Let a be 12/16*(-2 - (-114)/9). Suppose -a*v = 2 - 18. Factor 2/9 + 1/9*r - 1/9*r**v.
-(r - 2)*(r + 1)/9
Let n(i) be the third derivative of i**8/11200 - i**7/350 + 3*i**6/100 + i**4/12 + 53*i**3/6 + 116*i**2. Let l(b) be the second derivative of n(b). Factor l(v).
3*v*(v - 6)**2/5
Let v(u) be the third derivative of -375*u**3 + 0*u - 1025/8*u**4 - 57*u**2 - 1/8*u**6 + 0 + 22/3*u**5. Let v(h) = 0. What is h?
-2/3, 15
Let k = -254528 - -1781702/7. Factor -2/7*b**3 + 0*b - k*b**2 + 0.
-2*b**2*(b + 3)/7
Let v(n) = 4*n**3 - n**2 - n - 2. Let b(d) = -28*d**3 - 2986*d**2 + 6*d + 12. Let k(f) = -b(f) - 6*v(f). Factor k(l).
4*l**2*(l + 748)
Suppose -13/4*u**3 + 54 - 43/2*u**2 + 303/4*u = 0. What is u?
-9, -8/13, 3
Let x(m) be the first derivative of 105/2*m**2 + 220 + 0*m - 5/3*m**3. Factor x(z).
-5*z*(z - 21)
Suppose -21 = -6895*y + 6894*y - 3*m, 2*m = 5*y + 14. Factor y + 6/11*n**2 + 4/11*n + 2/11*n**3.
2*n*(n + 1)*(n + 2)/11
Let -90*g**2 - 1555/2*g - 690 - 5/2*g**3 = 0. What is g?
-23, -12, -1
Determine u, given that 2/7*u**2 + 292/7 + 150/7*u = 0.
-73, -2
Let d(y) be the third derivative of -19*y**7/315 + 28*y**6/45 - 14*y**5/9 - 4*y**4/9 + 2326*y**2. Determine i, given that d(i) = 0.
-2/19, 0, 2, 4
Let k(r) be the first derivative of 8*r**5/65 - 259*r**4/26 - 408*r**3/13 + 603*r**2/13 - 6554. Determine d, given that k(d) = 0.
-3, 0, 3/4, 67
Let s(k) be the third derivative of -k**8/560 - 22*k**7/525 + 119*k**6/600 - k**5/75 - 17*k**4/30 - 1409*k**2. Solve s(t) = 0 for t.
-17, -2/3, 0, 1, 2
Let y = -74 - -77. Suppose y*p + 11 = 20. Factor 2*v - 11 + 8 + 4*v - p*v**2.
-3*(v - 1)**2
Suppose 5*z - 15 = -2*a, 0 = z + 906*a - 910*a - 3. Let 13/3*s**4 - 64/3 - 1/3*s**5 - 176/3*s - 145/3*s**2 - 19/3*s**z = 0. What is s?
-1, 8
Let -199/5*z**3 - 542/5*z**2 - 31/10*z**4 - 556/5*z + 7/10*z**5 - 176/5 = 0. What is z?
-2, -4/7, 11
Suppose -442*o + 206*o + 151*o = 0. Find m, given that -6/17*m**2 + o*m + 0 - 2/17*m**3 = 0.
-3, 0
Find n such that 2250*n**2 - 23328/7 + 228/7*n**4 + 2592/7*n + 3/7*n**5 + 4755/7*n**3 = 0.
-36, -3, -2, 1
Let q(d) be the second derivative of d**4/20 + 2158*d**3/5 + 6985446*d**2/5 + 1406*d. Factor q(m).
3*(m + 2158)**2/5
Let m = -37941/5 - -7589. Determine a so that -2*a - m - 8/5*a**2 - 2/5*a**3 = 0.
-2, -1
Let c be (-331656)/(-455) - (-1)/(-5). Let q = 729 - c. Let 32/7 + q*w**2 + 16/7*w = 0. What is w?
-4
Let n = 1645 + -1627. Let u be ((-954)/(-54) - n)*6*-1. Suppose 6/5*w - 2/5*w**u + 0 = 0. Calculate w.
0, 3
Let h be (-21)/42*(0 - 0)/(-1). Let l be h*(-4)/28 + -3 + 7. Factor 8/11*f**l + 0 + 8/11*f + 34/11*f**2 + 40/11*f**3.
2*f*(f + 4)*(2*f + 1)**2/11
Let d(a) be the second derivative of a**4/30 + 54*a**3 - 4*a + 411. Factor d(u).
2*u*(u + 810)/5
Let g(t) be the first derivative of -t**3 - 1131*t**2/2 + 1134*t + 280. Determine m, given that g(m) = 0.
-378, 1
Factor -93*y**2 - 1407 + 44*y + 184*y**2 - 94*y**2 + 174*y + 1192*y.
-3*(y - 469)*(y - 1)
Let p(n) be the third derivative of n**7/210 - 31*n**6/120 + 22*n**5/5 - 57*n**4/2 - 13531*n**2. Suppose p(b) = 0. What is b?
0, 6, 19
Let v(t) be the third derivative of 3*t**8/112 - 13*t**7/15 + 263*t**6/60 - 48*t**5/5 + 257*t**4/24 - 17*t**3/3 - 1231*t**2. Find c such that v(c) = 0.
2/9, 1, 17
Suppose x - 9 = -4, -224 = p + 3*x. Let n = 243 + p. Factor 5/2*j**2 - j + 1/2*j**n + 0 - 2*j**3.
j*(j - 2)*(j - 1)**2/2
Let b(r) = -34*r + 1948. Let x be b(56). Let k(m) be the second derivative of 3/2*m**2 - 1/4*m**4 + 3/40*m**5 - x*m + 0 - 1/4*m**3. Let k(u) = 0. Calculate u.
-1, 1, 2
What is c in 186/13*c - 192/13*c**2 - 46/13 + 8/13*c**3 = 0?
1/2, 23
Factor 264/7 + 8*i - 2/7*i**3 - 6*i**2.
-2*(i - 3)*(i + 2)*(i + 22)/7
Let g be (-10)/(-4)*17/((-1360)/(-128)). Let z(p) be the first derivative of g*p**3 + 0*p + 4/5*p**5 + 5*p**4 - 18*p**2 + 31. Determine i so that z(i) = 0.
-3, 0, 1
Let r be (7 - (-3654)/(-15)) + -8. Let f = r - -245. Factor f*l**3 + 2/5*l**2 + 0*l + 0 - 2/5*l**5 - 2/5*l**4.
-2*l**2*(l - 1)*(l + 1)**2/5
Suppose 14*a - 17*a + 15 = 0. Factor 18114 - o**4 + 2*o**a - o**3 - o**5 + o**2 - 18114.
o**2*(o - 1)**2*(o + 1)
Suppose 16*o = 27*o - 33. Determine z so that 17*z**3 + 317*z - 21*z**o - 1194*z + 2704 - 204*z**2 - 1619*z = 0.
-26, 1
Let r be (-2 - 8) + (-137406)/(-12609). Let n = -4/467 + r. What is b in -2/9*b**3 - 10/9*b**2 - 16/9*b - n = 0?
-2, -1
Let w be 15/(-3) - ((-15600)/(-774))/(-4). Let x = w - -2803/903. Factor -8/7 - x*v**2 - 26/7*v - 4/7*v**3.
-2*(v + 1)*(v + 4)*(2*v + 1)/7
Determine o so that -13494*o**4 + 13496*o**4 - 93024*o + 35255*o**2 + 10341*o**2 + 46818 + 608*o**3 = 0.
-153, 1
Let q(i) be the third derivative of -4*i**7/1995 - 2521*i**6/1140 - 17661*i**5/19 - 3098025*i**4/19 - 3087000*i**3/19 + 18*i**2 + 95*i - 2. Factor q(d).
-2*(d + 210)**3*(4*d + 1)/19
Let h(p) be the third derivative of p**8/2184 - 41*p**7/273 + 1195*p**6/78 - 14975*p**5/39 + 700625*p**4/156 - 1128125*p**3/39 + 6*p**2 + 209. Factor h(w).
2*(w - 95)**2*(w - 5)**3/13
Let c(n) be the first derivative of n**5/32 + n**4/48 - 13*n**3/48 + 3*n**2/8 + 23*n + 10. Let b(g) be the first derivative of c(g). Factor b(h).
(h - 1)*(h + 2)*(5*h - 3)/8
Solve -q**5 - 7792*q**2 - 124*q**4 - 3764994 - 102*q**3 + 19840*q + 1542*q**3 + 5*q**5 + 3745794 = 0.
3, 4, 10
Let n be 574/18655 + (-466)/(-65). Determine b so that n*b + 3/5*b**2 + 0 = 0.
-12, 0
Factor -150/7 - 1/7*y**3 + 76/7*y**2 - 73/7*y.
-(y - 75)*(y - 2)*(y + 1)/7
Let q(d) be the third derivative of -d**7/630 - d**6/20 + 35*d**4/6 - 15*d**2. Let p(x) be the second derivative of q(x). What is r in p(r) = 0?
-9, 0
Let b(c) be the first derivative of 8/3*c - 1/18*c**4 - 8/9*c**3 + 1/9*c**2 - 87. Find o, given that b(o) = 0.
-12, -1, 1
Let k(a) be the second derivative of a**4/24 + 619*a**3/4 - 4441*a. Factor k(f).
f*(f + 1857)/2
Let o(z) be the second derivative of z**6/135 + 17*z**5/90 + 35*z**4/18 + 275*z**3/27 + 250*z**2/9 + 1506*z + 2. Factor o(v).
2*(v + 2)*(v + 5)**3/9
Let f be (-8 - -1)/(3 + (-117)/18). Let i(y) be the first derivative of 3/2*y**5 + 2*y**3 + 0*y + 8 - 9/2*y**4 + 0*y**f. Factor i(b).
3*b**2*(b - 2)*(5*b - 2)/2
Let n(b) = 2*b**3 - 107*b**2 + 704*b - 171. Let f(c) = -3*c**3 + 215*c**2 - 1409*c + 343. Let l(g) = -2*f(g) - 5*n(g). What is o in l(o) = 0?
1/4, 13
Suppose 0 = a + 71 - 73. Solve -2*g**2 - 2*g**a - 39 + g + 3*g - 35 + 98 = 0 for g.
-2, 3
Let o(n) be the third derivative of 3*n**8/392 - 61*n**7/735 + 67*n**6/420 + 27*n**5/70 - 19*n**4/21 - 20*n**3/21 + 139*n**2 + 6. Find q, given that o(q) = 0.
-1, -2/9, 1, 2, 5
Let 496*c + 3625 - 481*c - 5*c**2 - 715*c = 0. What is c?
-145, 5
Let w be (-26)/7 - -4 - (-9320)/210. Let o = -235/6 + w. Solve 3/2*s**4 + 3/2 + 1/6*s**5 + 5*s**3 + o*s + 23/3*s**2 = 0 for s.
-3, -1
Let y(h) = -h**2 - 25*h. Let v(t) = -98*t**2 - 9*t + 6. Let u(f) = -3*v(f) - 24*y(f). Determine d, given that u(d) = 0.
-2, 3/106
Let u be 57/(-418)*4*(-22)/16. Determine j so that u*j + 3/4*j**2 - 3/2 = 0.
-2, 1
Let r be (-813)/(-39) + -1 + 5*24/780. Let o(d) be the second derivative of 0 - 1/12*d**5 + 1/45*d**6 + 1/9*d**3 + 0*d**2 + 1/36*d**4 + r*d. Factor o(q).
q*(q - 2)*(q - 1)*(2*q + 1)/3
Factor 16