Let c(b) be the third derivative of -b**5/30 - 721*b**4/6 - 519841*b**3/3 + 2*b**2 - 931*b. Factor c(z).
-2*(z + 721)**2
Let m(g) = -16*g**3 + 166*g**2 - 1297*g + 1114. Let h(n) = 3*n**3 - 33*n**2 + 259*n - 223. Let t(k) = -33*h(k) - 6*m(k). Solve t(x) = 0 for x.
1, 15
Let q(h) be the third derivative of h**7/945 + 229*h**6/540 + 6136*h**5/135 - 24367*h**4/27 + 39*h**2 - 2*h + 66. Factor q(j).
2*j*(j - 7)*(j + 118)**2/9
Let k(n) be the second derivative of n**6/105 + 97*n**5/70 + 329*n**4/6 - 343*n**3/3 + 1380*n. Factor k(i).
2*i*(i - 1)*(i + 49)**2/7
Let l = 113 + -139. Let u be (-180)/(-20) - (-226)/l. Factor 10/13*x - 8/13*x**2 - u + 2/13*x**3.
2*(x - 2)*(x - 1)**2/13
Suppose 3*w + 2524 = 3160. Let f be (159/w)/(3*(-1)/(-8)). Factor 5/3*q + 2/3 + 4/3*q**f + 1/3*q**3.
(q + 1)**2*(q + 2)/3
Let s(i) = -i**3 - 23*i**2 + 24*i - 53. Let p(h) = -4*h**2 - 2*h - 1. Let v(t) = 5*p(t) - s(t). Factor v(k).
(k - 3)*(k - 2)*(k + 8)
Suppose -33*m**2 + 3*m**2 + 14*m**4 - 35*m**3 - 23*m**5 + 24*m**5 + 0*m**4 - 64 + 124*m - 10*m**2 = 0. Calculate m.
-16, -2, 1, 2
Suppose 1263*n = 1271*n. Let m(d) be the first derivative of -4/39*d**3 - 1/26*d**4 - 7 + n*d - 1/13*d**2. Find x, given that m(x) = 0.
-1, 0
Suppose 126*n + 12*n + 310 = 862. Factor 8/13 + 88/13*o - 264/13*o**3 + 194/13*o**2 + 72/13*o**n.
2*(o - 2)**2*(6*o + 1)**2/13
Let g be ((-40)/24)/((-8)/3). Let x = -3/7 + 13/14. Factor 0 - 13/4*r**2 - x*r**4 - 25/8*r**3 - g*r.
-r*(r + 1)*(r + 5)*(4*r + 1)/8
Let n(w) be the second derivative of 1/210*w**6 - 4/35*w**5 + 13/14*w**2 + 62*w + 1/2*w**4 - 20/21*w**3 + 0. Factor n(j).
(j - 13)*(j - 1)**3/7
Let h = -849 - -1354. Let g = 5567/11 - h. Solve 0 - 2/11*t**5 - 24/11*t**2 - 26/11*t**3 - 8/11*t - g*t**4 = 0 for t.
-2, -1, 0
What is u in 148/9*u - 112/9 + 2/9*u**3 - 38/9*u**2 = 0?
1, 4, 14
Let q(s) be the third derivative of -2*s**7/525 - 29*s**6/50 + 59*s**5/25 - 89*s**4/30 + 263*s**2 - 3. Let q(k) = 0. Calculate k.
-89, 0, 1
Let p(b) be the second derivative of 5/4*b**3 - 3/80*b**5 - 3*b**2 - 1/16*b**4 - 5 - b. Solve p(m) = 0.
-4, 1, 2
Let q(j) be the first derivative of j**4/4 - 21*j**2/2 - 20*j + 988. Solve q(y) = 0 for y.
-4, -1, 5
Let f(r) be the second derivative of -r**4/24 - 469*r**3/12 - 117*r**2 + 1142*r. Determine j, given that f(j) = 0.
-468, -1
Let v(p) be the second derivative of p**7/231 + 8*p**6/165 + 13*p**5/110 - p**4/3 - 32*p**3/33 + 32*p**2/11 + 5630*p. Find f, given that v(f) = 0.
-4, -2, 1
Suppose 13*f + 237 = -18*f + 330. Let c(s) be the third derivative of -13/48*s**4 + 0*s + 0 - 1/40*s**5 + 26*s**2 + 5/6*s**f. Solve c(v) = 0 for v.
-5, 2/3
What is x in 32/7 - 16/7*x**3 + 12/7*x**2 + 8*x - 4/7*x**4 = 0?
-4, -1, 2
Suppose -30*p**4 - 2*p**4 + 28 - 38*p**3 - 16*p**2 - 2 + 22*p**4 + 37*p + p**5 = 0. Calculate p.
-2, -1, 1, 13
Let f = -642 - -645. Suppose 300 + i**3 + 63*i**2 - 189*i + 549*i + 2*i**f = 0. Calculate i.
-10, -1
Let o(h) be the first derivative of -199 - 69/10*h**2 + 0*h + 1/5*h**3. Factor o(q).
3*q*(q - 23)/5
Let b(t) be the third derivative of -1/24*t**4 + 64*t**2 + 1/30*t**5 - 1/3*t**3 + 0 + 0*t + 1/120*t**6. Find n such that b(n) = 0.
-2, -1, 1
Let q be 2/8 + (-33)/(-12). Let d(i) = 14*i + 606. Let r be d(-43). Factor -16*n**q - 27*n**4 + 10*n**4 - 3*n**4 - 8*n**5 - r*n**2.
-4*n**2*(n + 1)**2*(2*n + 1)
Suppose 0 = -r + 1 + 4. Let x be r - 1 - (18 - 16). Factor w**x - 2*w - 13 + 0*w + 13.
w*(w - 2)
Factor -11/3*r**2 - 1/3*r**3 + 45 - r.
-(r - 3)*(r + 5)*(r + 9)/3
Let l(m) be the first derivative of -m**4/78 + 6*m**3/13 - 32*m**2/13 - 171*m - 104. Let i(z) be the first derivative of l(z). Solve i(u) = 0 for u.
2, 16
Suppose -149 = -18*m - 59. Let v(a) be the second derivative of -a - 1/15*a**6 - 1/6*a**4 + 0*a**2 - 1/5*a**m + 0*a**3 + 0. Factor v(c).
-2*c**2*(c + 1)**2
Let u(p) = -p**4 + 1. Let b(d) = 2 + 64*d**4 - 3*d**2 + 63*d**4 - 15*d + 15*d**3 - 126*d**4. Let s(w) = b(w) - 2*u(w). Factor s(l).
3*l*(l - 1)*(l + 1)*(l + 5)
Let l = -58 - -60. Factor -5*n + l*n**3 + 2*n**4 + n + 4*n.
2*n**3*(n + 1)
Factor 2/3*n**3 + 22/3*n - 4 - 4*n**2.
2*(n - 3)*(n - 2)*(n - 1)/3
Solve 1567*n + 783*n + 418*n + 3*n**2 + 799*n - 3570 = 0.
-1190, 1
Let z be ((-6)/10)/(124/(-620)). Suppose -w + 2*x = 4, -7*w + w - z*x + 21 = 0. Solve 5/4*h**3 - w - 5*h + 1/2*h**4 - 3/2*h**2 = 0.
-2, -1/2, 2
Let n = -2201 + 2186. Let m be 4/(-48) + 0 + (-5)/n. Determine x so that -m*x**3 - 27/4*x + 9/4*x**2 + 27/4 = 0.
3
Let k be (5/3)/(1/3). Let s(j) = -j**3 + 6*j**2 + 303*j - 1816. Let p be s(6). Let 0*q + 4/5*q**p - 12/5*q**3 + 0 + 12/5*q**4 - 4/5*q**k = 0. Calculate q.
0, 1
Let -114/7*l + 144 + 3/7*l**2 = 0. What is l?
14, 24
Suppose 344 = 97730*s - 97687*s. Solve 8/9*p**3 - s*p + 6 + 4/3*p**2 - 2/9*p**4 = 0.
-3, 1, 3
Let u be ((-6 - 1) + 8 + -4)*7. Let a be u/(-147)*(-7)/(-2). Factor 3/2*k**2 - 3/2*k - 1/2*k**3 + a.
-(k - 1)**3/2
Let w = -1644 - -1626. Let i be w/5*(-23 + -147 + -22). Solve 4/5*u**4 + 96/5*u**3 + i*u + 5184/5 + 864/5*u**2 = 0.
-6
Let s = -27 + 27. Let m be (-1)/11*-2 + -11 + (-6723)/(-594). Suppose s - 3/2*t**4 + 7/2*t**3 - 5/2*t**2 + m*t = 0. Calculate t.
0, 1/3, 1
Let k(x) = -x**3 - 19*x**2 - 55*x - 22. Let u be k(-14). Let d be u/(-145)*5/2. Let 0*y + 0 + 3/5*y**d + 108/5*y**2 - 36/5*y**3 = 0. What is y?
0, 6
Let o = 1816858/189 - 9613. Let x(j) be the second derivative of 0 + 4/135*j**6 + o*j**7 + 0*j**3 + 1/27*j**4 + 1/18*j**5 - 21*j + 0*j**2. Factor x(y).
2*y**2*(y + 1)**2*(y + 2)/9
Let p(i) = i**3 - 9*i**2 - 11*i + 14. Let h be p(10). Let x = 36644/3 - 12214. Let 10/3*n - 10/3*n**3 - 8/3*n**h + 2*n**2 + x = 0. Calculate n.
-1, -1/4, 1
Let d(i) be the second derivative of 2*i**4/21 - 339*i**3/7 + 254*i**2/7 + 4230*i. Solve d(w) = 0.
1/4, 254
Let i(f) be the first derivative of f**4/9 - 496*f**3/27 + 920*f**2/3 - 1792*f + 216. Factor i(d).
4*(d - 112)*(d - 6)**2/9
Let k(j) be the third derivative of -j**5/20 - 11*j**4/4 - 117*j**3/2 - 2352*j**2. Find l such that k(l) = 0.
-13, -9
Factor -2/5*v**2 - 171698/5 - 1172/5*v.
-2*(v + 293)**2/5
Let i be (-8)/3*(-207)/(-46). Let y be ((-3)/36)/(i/96). Find j, given that -y*j**5 + 2*j**4 - 20/3*j**2 - 14*j - 6 + 4*j**3 = 0.
-1, 3
Let y(r) be the second derivative of -r**6/15 + 17*r**5/5 + 2*r**4 - 424*r**3/3 + 544*r**2 + 2*r - 3376. Factor y(x).
-2*(x - 34)*(x - 2)**2*(x + 4)
Let s = 21145 + -21116. Let y(b) be the third derivative of 1/4*b**3 + 0*b**6 + 1/20*b**5 - 1/420*b**7 + 0 + 1/6*b**4 - s*b**2 + 0*b. Find m such that y(m) = 0.
-1, 3
Suppose -3*s - 5*u + 290 = 0, -45*s + 2*u = -41*s - 404. Let o(p) be the first derivative of 3 - s*p - 4/3*p**3 - 20*p**2. What is h in o(h) = 0?
-5
Find t such that 676 - 4*t**4 - 136*t**3 - 333 - 248*t - 343 - 380*t**2 = 0.
-31, -2, -1, 0
Let f(v) be the third derivative of 81/2*v**3 - 495/4*v**4 + 26*v**2 - 303/2*v**6 + 0 + 0*v + 120/7*v**7 + 821/4*v**5 - 4/7*v**8. Factor f(y).
-3*(y - 9)**2*(4*y - 1)**3
Let a(s) = s**2 + s - 2. Let j = 410 - 420. Let m(p) = 3*p**3 - 2*p**2 - p - 10. Let k(b) = j*a(b) + 2*m(b). Determine f so that k(f) = 0.
-2/3, 0, 3
Factor 0 + 2/7*m**4 + 272/7*m**3 - 1112/7*m**2 + 160*m.
2*m*(m - 2)**2*(m + 140)/7
Let a(t) be the first derivative of 49*t**6/90 + 28*t**5/15 + 8*t**4/3 - 22*t**3/3 - 2*t - 79. Let l(u) be the third derivative of a(u). Factor l(r).
4*(7*r + 4)**2
Let g(o) be the second derivative of o**7/252 + 103*o**6/90 + 10813*o**5/120 + 1751*o**4/6 + 289*o**3 - 5921*o. Factor g(q).
q*(q + 1)**2*(q + 102)**2/6
Suppose -d + 0*d = 5*w - 14, 0 = -5*d - 5. Factor -r**5 + 14*r**4 - 112*r**2 - 460*r + 396*r - 33*r**w + 0*r**5.
-r*(r - 8)**2*(r + 1)**2
Factor 0*u**4 - 1100 - 678*u**2 + 377367*u**3 + 2*u**4 - 1990*u - 188419*u**3 - 188734*u**3.
2*(u - 5)*(u + 1)**2*(u + 110)
Let m = -178 + 180. Factor -5*b**5 + 5*b**4 + 5 + 2*b**3 - 5*b + 5*b**3 - 10*b**m - 7*b**3 + 10*b**3.
-5*(b - 1)**3*(b + 1)**2
Let n(x) be the second derivative of 3*x**7/112 - 13*x**6/10 + 669*x**5/32 - 1879*x**4/16 + 1185*x**3/4 - 675*x**2/2 - 2*x - 3. Find p, given that n(p) = 0.
2/3, 2, 15
Suppose 4/13*s**4 + 74/13*s**3 - 296/13*s**2 + 0 + 264/13*s = 0. What is s?
-22, 0, 3/2, 2
Let m be ((147/392)/(9/2))/(15/1000). Factor -70/9*p + m - 2/9*p**3 + 22/9*p**2.
-2*(p - 5)**2*(p - 1)/9
Suppose 0 = -11*a - 157 - 173. Let m be -1*a/14*1. Find g, given that