What is j?
-6, -1, 0
Let p be (-29)/58 + (570/36 - (-2)/3). Let x(o) be the third derivative of p*o**2 + 1/18*o**5 + 4/9*o**3 + 1/180*o**6 + 0*o + 0 + 2/9*o**4. Factor x(w).
2*(w + 1)*(w + 2)**2/3
Let c(m) = m**2 + 44*m - 45. Let q be c(-45). Let i(t) be the second derivative of 24*t + 1/20*t**4 + 0 + 0*t**3 + q*t**2. Determine x so that i(x) = 0.
0
Let z = -561773 - -43257341/77. Let u = z + -72/7. Let u - 2/11*o**2 + 2/11*o = 0. Calculate o.
-1, 2
Let m be 294/2*(-10)/(-90)*3. Let n be 14/(-4)*((-252)/m)/9. What is t in -3/7*t**3 - 648/7 - 324/7*t - 54/7*t**n = 0?
-6
Solve 22*z + 456 + 247*z - 5*z**2 + z**2 + 239*z + 56 = 0.
-1, 128
Let w(r) = -r**2 + 32*r - 234. Let q be w(18). Let x = 15 + 70. Factor -q - 74*v**3 - x*v**2 - 5*v**4 - 113*v**3 - 85*v - 12 + 152*v**3.
-5*(v + 1)**2*(v + 2)*(v + 3)
Let h(i) be the second derivative of -i**7/15120 - i**6/240 + i**4/12 - 7*i**3/3 + 59*i. Let s(g) be the third derivative of h(g). Factor s(b).
-b*(b + 18)/6
Factor -108 - 108*t**2 + 2/9*t**5 - 40/9*t**4 + 174*t + 32*t**3.
2*(t - 9)*(t - 3)**3*(t - 2)/9
Let c(m) be the second derivative of -m**5/130 + m**4/13 + 25*m**3/39 - 150*m**2/13 + 9304*m. Find x such that c(x) = 0.
-5, 5, 6
Let u(j) be the third derivative of -j**8/112 - 69*j**7/35 - 676*j**6/5 - 11272*j**5/5 - 16896*j**4 - 65536*j**3 + 8792*j**2. Find i such that u(i) = 0.
-64, -4, -2
Factor 200 + 2/5*a**3 + 12*a**2 + 90*a.
2*(a + 5)**2*(a + 20)/5
Let f(y) be the second derivative of y**4/72 + 3*y**3/4 - 119*y**2/6 - 195*y - 3. Factor f(v).
(v - 7)*(v + 34)/6
Let c = 158304/13 + -36770/3. Let k = -236/3 - c. Factor k*t**3 + 0 + 6/13*t**2 - 4/13*t.
2*t*(t + 1)*(5*t - 2)/13
Factor 0*t - 2/9*t**3 - 74/9*t**4 + 0*t**2 + 0 - 8*t**5.
-2*t**3*(t + 1)*(36*t + 1)/9
Let v(g) be the third derivative of g**8/11200 + g**7/4200 - g**6/240 + 3*g**5/200 + 5*g**4/12 - 8*g**2. Let q(l) be the second derivative of v(l). Factor q(k).
3*(k - 1)**2*(k + 3)/5
Let h be 37 + (-9)/21 + 77/(-49). Factor -62*g + 22*g - 16*g**2 - 17*g**2 + 28*g**2 - h.
-5*(g + 1)*(g + 7)
Let j(x) be the first derivative of 4*x**5/25 + 16*x**4/5 + 16*x**3/3 - 224*x**2/5 + 3149. Determine y, given that j(y) = 0.
-14, -4, 0, 2
Let 1/4*i**5 + 369/4*i - 59*i**2 - 81/2 + 7/2*i**3 + 7/2*i**4 = 0. What is i?
-9, 1, 2
Let l(z) = -480*z + 17282. Let r be l(36). What is b in -9/2 - 1/2*b**r + 3*b = 0?
3
Let m(c) be the third derivative of c**5/300 + 8*c**4/5 + 191*c**3/30 - 9*c**2 + 87*c. Factor m(r).
(r + 1)*(r + 191)/5
Let r(i) = -13*i**2 - 1434*i - 356. Let z(g) = g**2 + 3*g - 1. Let f(j) = r(j) + z(j). Let f(o) = 0. Calculate o.
-119, -1/4
Let y = 750 - 2246/3. Let r(t) be the first derivative of 32/3*t + y*t**2 - 20 - 4/9*t**3. Let r(g) = 0. Calculate g.
-2, 4
Suppose -1/12*o**5 - 2/3*o**3 - 13/3*o**2 + 4*o + 13/12*o**4 + 0 = 0. Calculate o.
-2, 0, 1, 2, 12
Let g(b) be the first derivative of -86/21*b**3 - 80/7*b**2 - 81 + 32/7*b - 11/28*b**4. Factor g(u).
-(u + 4)**2*(11*u - 2)/7
Let t(d) be the third derivative of -d**5/60 - 37*d**4/2 - 2355*d**2. Factor t(s).
-s*(s + 444)
Let b(x) be the second derivative of 16*x**4/3 + 176*x**3 + 2178*x**2 - 52*x + 34. Let b(m) = 0. What is m?
-33/4
Let v(a) be the second derivative of -a**5/80 + 29*a**4/16 + 59*a**3/8 + 89*a**2/8 - 498*a + 3. Factor v(o).
-(o - 89)*(o + 1)**2/4
Suppose 0 = -541*x - 580 + 553 + 2191. Determine y so that 69*y**2 + 45*y**3 + 27/2*y**x + 27/2 + 3/2*y**5 + 99/2*y = 0.
-3, -1
Let v = -38 - -38. Suppose -5*m + 10 = -5*z, v = 4*m - 0*z + z - 13. Find k such that 3*k**2 + 0*k**2 + 47 - 51 + k**m = 0.
-2, 1
Find q, given that -701*q**4 - 684*q**2 + 5564 + 70*q**3 + 896*q - 444 + 699*q**4 = 0.
-2, 5, 16
Let b(r) = -2*r**3 + 11*r**2 + 6*r + 2. Suppose 31*f + 12 = 33*f. Let n be b(f). Solve -1/2*h**n - 3/2*h + 0 = 0.
-3, 0
Let w(k) be the second derivative of -k**4/60 + 281*k**3/15 - 78961*k**2/10 - 4373*k. Factor w(c).
-(c - 281)**2/5
Let u = 4477 - 4476. Let v(p) be the first derivative of -4/5*p**5 - u + 0*p**2 - 1/6*p**3 + 0*p + 11/16*p**4 + 7/24*p**6. Factor v(r).
r**2*(r - 1)**2*(7*r - 2)/4
Suppose -2*i + 7 + 0 = -o, 0 = 2*i - 4*o - 10. Solve 5*t**i + 1200*t - 4*t**3 + 262*t**2 + 8000 - 202*t**2 = 0.
-20
Let v = -36 + 59. Let j = -20 + v. Factor 2 - 10 - 27*l - 18*l**2 - 5 + 1 - 3*l**j.
-3*(l + 1)**2*(l + 4)
Suppose -3*f + 3*l + 225 = 0, -5*l - 215 = -4*f + f. Suppose -6 - f*u + 32 - 96*u + 28*u**2 + 22 = 0. What is u?
2/7, 6
Let k(s) be the second derivative of -s**6/60 - 7*s**5/5 + s**4/8 + 83*s**3/6 - 28*s**2 - 284*s - 3. Factor k(d).
-(d - 1)**2*(d + 2)*(d + 56)/2
Let d(n) be the second derivative of -24 - 4/15*n**3 - n + 0*n**2 - 1/30*n**4. Factor d(w).
-2*w*(w + 4)/5
Let t(m) be the third derivative of 0 + 1/42*m**4 - 49*m**2 + 0*m**3 + 0*m - 1/70*m**5. Factor t(c).
-2*c*(3*c - 2)/7
Factor -304/3*b + 307 - 1/3*b**2.
-(b - 3)*(b + 307)/3
Determine q, given that 35/3*q**3 - 124/3*q + 40/3*q**2 + 64/3 - 1/3*q**5 - 14/3*q**4 = 0.
-16, -2, 1, 2
Let i(d) be the third derivative of -d**7/945 + 17*d**6/2160 - d**5/180 + 5*d**4/24 + 4*d**3/3 - 5*d**2. Let q(t) be the second derivative of i(t). Factor q(k).
-(k - 2)*(8*k - 1)/3
Let w(n) = 45*n**3 + 150*n**2 + 137*n + 34. Let d(u) = -135*u**3 - 450*u**2 - 412*u - 104. Let o(m) = 3*d(m) + 8*w(m). Factor o(b).
-5*(b + 2)*(3*b + 2)**2
Let i(b) be the third derivative of -b**8/336 + 83*b**7/105 - 2351*b**6/40 + 3403*b**5/15 - 1681*b**4/6 + 5219*b**2. Factor i(z).
-z*(z - 82)**2*(z - 1)**2
Suppose 6677*z = -6627*z + 13158*z. Solve -4*q**2 - 1/2*q**3 + z + 10*q = 0 for q.
-10, 0, 2
Let -232/3*v**2 - 8 + 110/3*v**3 - 25/6*v**4 + 136/3*v = 0. Calculate v.
2/5, 2, 6
Let w(u) = -u + 31. Let t be w(-2). Factor -31*d**2 - 22*d + t - 9 + 29*d**2.
-2*(d - 1)*(d + 12)
Determine h, given that 2/9*h**4 + 80/3*h**2 + 28/3*h**3 + 26/3 + 236/9*h = 0.
-39, -1
Let l(g) be the first derivative of 3*g**4/8 + 32*g**3 + 93*g**2 + 3417. Factor l(z).
3*z*(z + 2)*(z + 62)/2
Suppose -21 - 15 = -12*a. Factor -11*z**2 + 51*z**2 + 57 + 94*z - 35 - 23*z - 88 + a*z**3.
(z + 3)*(z + 11)*(3*z - 2)
Suppose -3*z + 21 + 3 = 5*b, 16 = -181*z + 183*z. Factor 18/5*k**2 + b + 6/5*k**4 + 6/5*k + 18/5*k**3.
6*k*(k + 1)**3/5
Let h(o) be the second derivative of o**4/36 + 83*o**3/9 + 55*o**2/2 + 904*o. Suppose h(u) = 0. What is u?
-165, -1
Factor 230*n**3 - 125*n**2 - 100*n + 7224101*n**4 - 7224066*n**4 - 101*n + 61*n.
5*n*(n - 1)*(n + 7)*(7*n + 4)
Let v(a) be the first derivative of 2/21*a**3 + 0*a + 1/14*a**4 + 33 + 0*a**2. Factor v(b).
2*b**2*(b + 1)/7
Let q(c) = 13615*c + 136159. Let s be q(-10). Find k, given that s*k**2 + 1/3*k**3 + 0 - 28/3*k = 0.
-28, 0, 1
Let m(i) = -80*i**4 - 245*i**3 - 5*i**2 + 5*i - 10. Let v(g) = -81*g**4 - 246*g**3 - g**2 + 4*g - 8. Let w(c) = 4*m(c) - 5*v(c). Determine q so that w(q) = 0.
-3, 0, 1/17
Let d = 2/65105 + 5989654/195315. Find m such that 6*m**4 - 2/3*m**5 - 22*m - 20*m**3 + d*m**2 + 6 = 0.
1, 3
Let r(k) = k**5 + 109*k**4 - 1947*k**3 + 13291*k**2 - 19652*k - 6. Let z(a) = -a**5 - a**4 + 3*a**3 + a**2 + 2. Let g(l) = r(l) + 3*z(l). Factor g(o).
-2*o*(o - 17)**3*(o - 2)
Let s = -11912/5 - -2384. Find p such that -4/5*p + 4/5*p**3 + 8/5 - s*p**2 = 0.
-1, 1, 2
Let p = 29297/7 + -4185. Factor 2/7*d**2 - 10/7*d + 6/7 + p*d**3.
2*(d - 1)**2*(d + 3)/7
Solve 1182 + 2469*w - w**2 + 2391*w - 5051*w = 0 for w.
-197, 6
Factor 7/4*c - 5/3 + 0*c**2 - 1/12*c**3.
-(c - 4)*(c - 1)*(c + 5)/12
Suppose 2*c - 82 = 2*u + 2*u, 0 = 3*c + 3*u - 150. Let k = c + -45. Determine g, given that 652*g**k + 2*g + 3*g**3 - 2*g**3 - 647*g**2 + g**3 = 0.
-2, -1/2, 0
Let q(l) be the first derivative of -l**6/15 + 82*l**5/25 - 223*l**4/10 + 934*l**3/15 - 424*l**2/5 + 56*l - 20. Determine k so that q(k) = 0.
1, 2, 35
Factor 1/5*n**3 - 154/5 + 309/5*n - 156/5*n**2.
(n - 154)*(n - 1)**2/5
Factor 44/5*b**2 + 4/5*b**3 + 112/5 + 128/5*b.
4*(b + 2)**2*(b + 7)/5
Let m = 4496 - 89909/20. Let w(o) be the first derivative of -1/4*o**2 + 5/4*o**4 + 7/12*o**3 + 0*o - 16 + m*o**5. Factor w(r).
r*(r + 1)**2*(11*r - 2)/4
Suppose 0*x - x = -z + 21, -155 = -5*z - 5*x. Let t = 400 + -390. Suppose -8*y + t*y**4 - y**5 + 24*y**2 + z*y**3 + 2*y**4 + 3*y**5 + 16*y = 0. What is y?
-2, -1, 0
Let y(l) be the second derivative of -l**6/360 - l**5/15 + 7*l**4/18 + 41*l**2/2 - 3*l + 11. Let i(s) b