00*j - 84. Let l(g) = 7*g**2 - 750*g + 120. Let w(i) = 7*l(i) + 10*t(i). Factor w(u).
-u*(u + 250)
Let i(k) be the second derivative of 2*k**6/15 + 14*k**5/5 - k**4 - 80*k**3/3 + 56*k**2 - 2*k + 3595. Let i(a) = 0. Calculate a.
-14, -2, 1
Suppose 0 = -19*h + 15*h - 8. Let t(x) = -9*x**2 - 42*x + 7. Let i(b) = -b**2 - 3. Let k(z) = h*t(z) + 22*i(z). Factor k(q).
-4*(q - 20)*(q - 1)
Let k(y) be the third derivative of 5/8*y**4 - 1/10*y**6 + 11*y + y**3 - 2*y**2 - 1/112*y**8 + 0 + 1/10*y**5 - 2/35*y**7. Factor k(n).
-3*(n - 1)*(n + 1)**3*(n + 2)
Let o be (100360/(-2275) - -44)*(-25)/2. Solve -6/7 + o*l - 2/7*l**3 - 2/7*l**2 = 0.
-3, 1
Let c be (-3 + (-450)/(-147))/(510/(-105) + 5). Solve 2/7 + 0*b**2 + c*b - 1/7*b**3 = 0 for b.
-1, 2
Let s = 863 + -859. Let g(h) be the second derivative of 1/22*h**s + 17*h + 1/55*h**6 + 0 - 6/11*h**2 - 3/11*h**3 + 9/110*h**5. Find p such that g(p) = 0.
-2, -1, 1
Let l(o) be the first derivative of -o**6/450 - 3*o**3 - 3*o**2/2 + 39. Let s(t) be the third derivative of l(t). Suppose s(g) = 0. What is g?
0
Let x(v) = 13*v**3 + 88*v**2 - 71*v - 166. Let k(c) = -17*c**3 - 89*c**2 + 70*c + 167. Let z(g) = 4*k(g) + 5*x(g). Let z(o) = 0. What is o?
-1, 2, 27
Find b such that -2/5*b**4 + 38/5*b**2 - 4/5*b**3 + 24/5 - 56/5*b = 0.
-6, 1, 2
Let j(m) be the first derivative of m**3/6 + 51*m**2 + 203*m/2 - 5029. Determine n so that j(n) = 0.
-203, -1
Let o(n) be the first derivative of 22*n**2 + 26 + 48/5*n**5 - 20*n - 71*n**4 + 212/3*n**3. Determine b so that o(b) = 0.
-1/3, 1/4, 1, 5
Let s = 116795 + -116795. Factor 2/3*f**4 + s + 0*f - 4/3*f**3 - 16/3*f**2.
2*f**2*(f - 4)*(f + 2)/3
Let s(n) be the third derivative of -17/180*n**4 - 2 + 7/450*n**5 + 1/5*n**3 - 54*n**2 + 0*n + 1/900*n**6. Factor s(q).
2*(q - 1)**2*(q + 9)/15
Let n = -237 - -231. Let f(x) = -5*x**3 + 11*x**2 + 14*x + 4. Let u(y) = -13*y - 6*y**3 - 10*y**2 - 8 + 10*y**3 + 4. Let q(g) = n*u(g) - 5*f(g). Factor q(h).
(h + 1)*(h + 2)**2
Let p(z) be the third derivative of -z**6/150 + 3*z**5/25 + 53*z**4/15 + 64*z**3/5 - 109*z**2. Solve p(w) = 0 for w.
-6, -1, 16
Let t(w) be the first derivative of w**6/15 + 8*w**5/25 - 3*w**4/10 - 4*w**3/3 + 8*w**2/5 + 8802. Solve t(d) = 0.
-4, -2, 0, 1
Let y(o) be the second derivative of 3*o**6/40 + 73*o**5/20 - 51*o**4/8 - 25*o**3/2 + 29*o**2/2 - 66*o. Let w(j) be the first derivative of y(j). Factor w(r).
3*(r - 1)*(r + 25)*(3*r + 1)
Let r(t) = 104 + 4*t - 26*t**2 + 1741*t**3 + 1735*t**3 - 3477*t**3. Let y be r(-26). Factor y*c + 2/11 - 2/11*c**2.
-2*(c - 1)*(c + 1)/11
Let r(o) = 2*o**3 + 6*o**2 - 13*o - 2. Let d be r(2). Suppose t = -f + 49 - 46, 4*f - d = 3*t. Let 2/3*a**3 + t + 0*a + 4/3*a**2 - 2/3*a**4 = 0. Calculate a.
-1, 0, 2
Let m(c) be the third derivative of -1/1050*c**7 + 11/300*c**6 + 0 + 0*c**3 - 37*c**2 + 0*c**4 + 0*c - 121/300*c**5. Suppose m(a) = 0. Calculate a.
0, 11
Let s(w) = -w**3 - 14*w**2 + 59*w + 939. Let p be s(-13). Factor 0*n + n**2 + 0 + 1/4*n**p.
n**2*(n + 4)/4
Find x, given that -46*x**4 + 146*x**3 + 9722*x**2 + 184815*x - 17*x**4 + 7113*x**2 + 359*x**3 + 68*x**4 = 0.
-37, -27, 0
Suppose 0 = -3*o + 4*g + 32, -20*o - 5*g = -21*o + 29. Let s(r) be the first derivative of 0*r + 1/2*r**o + 2*r**2 - 2*r**3 - 2. Determine i so that s(i) = 0.
0, 1, 2
Let d be 2/692*3*(-20)/105. Let f = d - -1227/9688. Factor f*l**3 + 1/2*l**2 + 1/4 + 5/8*l.
(l + 1)**2*(l + 2)/8
Suppose 2*z - 5*a - 1465 = 0, 0*a = 5*z + a - 3649. Factor 1504 + 50*s**3 + 1428 + 405 + z*s**2 - 488 + 2992*s - 537.
2*(s + 1)*(5*s + 34)**2
Let w(f) = -2640*f - 60716. Let z be w(-23). Factor -12/7*i**z + 3*i**2 + 0*i + 81/7*i**3 + 0.
-3*i**2*(i - 7)*(4*i + 1)/7
Find l such that 0 - 8/11*l**3 + 10/11*l**2 + 0*l - 2/11*l**4 = 0.
-5, 0, 1
Let f(d) be the third derivative of -5*d**8/336 - 4*d**7/21 - 7*d**6/8 - 7*d**5/6 + 25*d**4/6 + 20*d**3 - 16*d**2 + 1. Factor f(j).
-5*(j - 1)*(j + 2)**3*(j + 3)
Let z(r) be the second derivative of 3*r**5/80 - 21*r**4/16 + 9*r**3/2 + 243*r**2/2 - 5*r + 352. Factor z(h).
3*(h - 18)*(h - 6)*(h + 3)/4
Let -239*a**4 - 131*a**4 - 8587*a + 5*a**5 - 10698*a**2 + 7195*a**3 - 1892*a**2 + 12960 + 1387*a = 0. Calculate a.
-1, 1, 2, 36
Let w(r) = -9*r**2 + 1755*r - 8. Let k(b) = 8*b**2 - 1760*b + 6. Let c(u) = 4*k(u) + 3*w(u). Solve c(f) = 0 for f.
0, 355
Suppose -3*v + 6*v = 5*z + 234, -283 = -4*v - 3*z. Suppose 4*g - 217 = -3*a, g = 4*a + v + 5. Factor -g + 60 + 25*q**2 + 5*q**3 + 10*q - 42.
5*(q - 1)*(q + 2)*(q + 4)
Determine y, given that -142*y - 20164 - 1/4*y**2 = 0.
-284
Suppose 0 = -108*c - 3117 + 10029. Find l, given that c*l**2 - 168/5*l**3 + 0 - 1/5*l**5 + 512/5*l + 23/5*l**4 = 0.
-1, 0, 8
Factor 98281/3*j**2 + 32520*j + 121*j**4 + 11161*j**3 + 1/3*j**5 + 10800.
(j + 1)**3*(j + 180)**2/3
Let q(f) = -25*f**2 + 77*f + 78. Let p(y) = 28*y**2 - 76*y - 77. Let i(h) = -8*p(h) - 9*q(h). Factor i(r).
(r - 86)*(r + 1)
Let v(i) be the third derivative of -1/360*i**6 + 5*i**2 + 0*i + 0*i**3 + 1/36*i**5 + 0 - 1/24*i**4 - 1/630*i**7. Solve v(j) = 0.
-3, 0, 1
Let a be 14150/(-1000) - (-30)/2 - 8/(-20). Factor 0 + a*l + 1/4*l**2.
l*(l + 5)/4
Let u(m) be the second derivative of m**5/10 - 79*m**4/6 - 148*m - 1. Factor u(s).
2*s**2*(s - 79)
Let h = 214 + -165. Factor 30*z**2 + h*z**2 + 64*z - 83*z**2 - 112.
-4*(z - 14)*(z - 2)
Let j be ((-3388)/(-8) - -13)/(1/2). Let t = j - 6081/7. Let -t*n**2 + 18/7*n - 50/7*n**3 - 2/7 = 0. Calculate n.
-1, 1/5
Let n(h) be the third derivative of 0*h - 3/4*h**5 + 7/24*h**6 + 45*h**2 + 0 + 5/12*h**4 + 0*h**3. Factor n(y).
5*y*(y - 1)*(7*y - 2)
Factor 1/2*y**2 + 129*y + 257/2.
(y + 1)*(y + 257)/2
Determine i so that 38*i**2 - 1121*i + 106*i**4 - 649*i**3 + 1121*i - 6*i**5 + 799*i**3 = 0.
-1, -1/3, 0, 19
Let m be (180 + -187)*4/(-14). Solve -72 + 12*b - 1/2*b**m = 0.
12
What is o in 2*o**3 + 66*o - 10*o**2 + 2*o**5 + 75*o + 8*o**4 - 99*o + 2*o**2 - 46*o**3 = 0?
-7, -1, 0, 1, 3
Let m be 2 - 0 - (-2 - 503). Suppose x - m = 489. Suppose -2*q**4 + 6*q**3 - 996 + 2*q**2 + x - 6*q = 0. Calculate q.
-1, 0, 1, 3
Let h(y) be the first derivative of y**4/12 - 154*y**3/9 - 317*y**2/2 - 480*y + 1507. Factor h(j).
(j - 160)*(j + 3)**2/3
Let c(j) = -43*j**2 - 11*j + 36. Let l be c(7). Let d = 3228 + l. Factor 540*a**2 + 4*a**4 + 84*a**3 + d*a + a**4 + 6*a**3 + 0*a**3.
5*a*(a + 6)**3
Let w(n) = 5*n**2 - 80*n - 1600. Let m(j) = 8*j**2 - 160*j - 3200. Let p = 147 + -144. Let a(c) = p*m(c) - 5*w(c). Factor a(l).
-(l + 40)**2
Let c(g) = 8*g**2 + 79*g. Let o(r) = -2*r**2 - r. Let t(l) = -4*l**2 + l + 1. Let z be t(0). Let k(q) = z*c(q) + 3*o(q). Factor k(y).
2*y*(y + 38)
Let n = 102393/7 + -14627. Let y(j) be the second derivative of n*j**2 + 0 + 4/21*j**3 + 24*j - 5/42*j**4 - 3/70*j**5. Let y(g) = 0. What is g?
-2, -2/3, 1
Let v = 59 + -57. Factor 68*z**v - 75*z**2 + 7 - 2*z**3 + z**3 - z + 2*z.
-(z - 1)*(z + 1)*(z + 7)
Let o be 2*1/(-8) + (-15)/4. Let z be (1/o)/(44/(-352)). Factor -2 + 16/7*a - 2/7*a**z.
-2*(a - 7)*(a - 1)/7
Factor 1/6*u**4 + 1204*u**2 + 1176*u + 0 + 169/6*u**3.
u*(u + 1)*(u + 84)**2/6
Let m(h) be the first derivative of 2/3*h**3 - 2*h + 1/14*h**4 + 95 - 1/7*h**2. Determine p so that m(p) = 0.
-7, -1, 1
Let m(o) be the first derivative of o**5/160 - o**3/12 + 41*o - 68. Let h(j) be the first derivative of m(j). Factor h(a).
a*(a - 2)*(a + 2)/8
Suppose 63*b**3 + 241*b**2 + 1087 - 3061 + 297*b + 1033 + 1059 + b**4 = 0. What is b?
-59, -2, -1
Let w(v) be the third derivative of 0*v**7 + 1/60*v**6 - 1/60*v**5 + 0 - v - 21*v**2 - 1/672*v**8 - 1/16*v**4 + 1/6*v**3. What is a in w(a) = 0?
-2, -1, 1
Let s(y) = -13*y**3 + 1848*y**2 - 1870*y + 5. Let x(i) = -32*i**3 + 4624*i**2 - 4676*i + 12. Let v(p) = -12*s(p) + 5*x(p). Solve v(m) = 0.
0, 1, 235
Let h(q) be the third derivative of -1/84*q**8 - 13/6*q**4 - 5*q - 3*q**2 + 0 + 22/15*q**5 + 2*q**3 - 3/5*q**6 + 2/15*q**7. Factor h(u).
-4*(u - 3)*(u - 1)**4
Let f(r) = 17*r**2 - 5058*r - 10592. Let k(h) = 23*h**2 - 6735*h - 14123. Let q(b) = 11*f(b) - 8*k(b). Factor q(x).
3*(x - 588)*(x + 2)
Let a(b) be the second derivative of 72*b + 3/2*b**2 + 0 + 1/20*b**5 - 1/4*b**4 - 1/6*b**3. Factor a(n).
(n - 3)*(n - 1)*(n + 1)
Let y(g) be the second derivative of g**6/240 - 7*g**5/180 + 7*g**4/144 + g**3/9 + 33*g**2 - 2*g + 3. Let t(v) be the first derivative of y(v