 h be 3/2*(13 + 203/(-21)). Let z(u) be the first derivative of -2/3*u**2 - 3 + 0*u + 1/18*u**6 - 4/9*u**3 + 1/4*u**4 + 4/15*u**h. Factor z(j).
j*(j - 1)*(j + 1)*(j + 2)**2/3
Let w(a) be the second derivative of a**4/48 - 17*a**3/12 - 9*a**2 + 1320*a. Factor w(t).
(t - 36)*(t + 2)/4
Let r = 60 - 51. Suppose 10*j = r*j + 4. Solve -3 - 5*u + 4*u**j + 13 + 5*u**3 + u**3 - u - 14*u**2 = 0 for u.
-5/2, -1, 1
Solve 0 + 53/2*c**4 + 3/4*c**5 - 35/4*c - 53/2*c**2 + 8*c**3 = 0.
-35, -1, -1/3, 0, 1
Let l = 76886/5 + -15377. Let v(u) be the third derivative of -21*u**2 + l*u**5 + 0*u + 0 - 19/8*u**4 + 6*u**3. Factor v(h).
3*(h - 4)*(4*h - 3)
Suppose -54289/5 - 466/5*h - 1/5*h**2 = 0. What is h?
-233
Let c be 14/21*14412/56. Let v = 172 - c. Let -v*k**2 + 8/7*k + 3/7 = 0. Calculate k.
-1/3, 3
Let a(t) be the third derivative of t**9/12096 - t**8/4032 + 23*t**5/60 - 67*t**2. Let r(j) be the third derivative of a(j). Factor r(w).
5*w**2*(w - 1)
Suppose 5*k + 2*x = 45 + 457, -3*k + 299 = -x. Suppose -2*w - 3*v = -k, 5*v - 143 - 59 = -4*w. Factor 70 + 293 + 20*s - 33*s - w*s + 3*s**2.
3*(s - 11)**2
Suppose i - 12 = -4*k, 2*i - k + 3 = 7*i. Let q be 6*(-5)/(-10) - i. Determine s, given that 92*s**3 + 20*s**2 - 7*s - 15*s - 96*s**q - 6*s + 12 = 0.
1, 3
Determine v so that -8/9*v**3 + 2/3*v**2 - 2/9*v**4 + 0 + 4*v = 0.
-3, 0, 2
Let d = -4 + 4. Let x = -14139 + 14141. Determine h, given that 0 + 4/7*h**3 + 0*h + d*h**x = 0.
0
Let y be 1/((-14)/8) + (-367328)/(-728). Suppose 0 = 3*b - 513 + y. Factor 0 - 24/7*j - 78/7*j**2 + b*j**3.
3*j*(j - 4)*(7*j + 2)/7
Suppose -3*a - 7*a + 210 = 0. Factor -u**2 + a*u**2 - 24*u**2 - 4*u.
-4*u*(u + 1)
Let s(l) be the second derivative of -l**5/30 - 25*l**4/2 - 4256*l**3/3 - 12544*l**2/3 + 16*l - 16. Factor s(a).
-2*(a + 1)*(a + 112)**2/3
Let r be -1 + -4 - 6/((-36)/42). Let d = 71/105 + -10/21. Determine u so that d*u**r - 2/5*u + 1/5 = 0.
1
Let a(k) be the second derivative of k**4/42 + 7*k**3/3 - 65*k + 3. Factor a(n).
2*n*(n + 49)/7
Solve -183*i + 10*i**2 - 6*i**2 + 59*i + 756 + 196 = 0 for i.
14, 17
Suppose 0 = -9*w + 44 - 17. Solve -12*m**5 + w - 38*m**2 + 0*m - 6*m - 95*m**3 + 10*m + 7*m**3 - 61*m**4 = 0.
-3, -1, -1/3, 1/4
Let l(r) be the first derivative of 12*r**5/5 + 711*r**4/4 - 189*r**3 - 813*r**2 - 360*r - 6771. Find g, given that l(g) = 0.
-60, -1, -1/4, 2
Let f(j) = -j**3 - 5*j**2 + 5*j + 35. Let v be f(-3). Suppose 2*i + 3 = 3*i. Factor -8*c**2 - 28*c**3 + 27*c**i - v - 16*c + 2.
-c*(c + 4)**2
Let v(r) be the first derivative of -r**6/1080 + 11*r**5/360 - r**4/3 - 52*r**3/3 + 118. Let z(c) be the third derivative of v(c). Factor z(a).
-(a - 8)*(a - 3)/3
Let c be (2/(-12) - (-208)/(-480))*-5. Let y(s) be the second derivative of 0 - 13*s + 0*s**c - 1/140*s**5 + 0*s**2 - 1/42*s**4 + 1/210*s**6. Factor y(k).
k**2*(k - 2)*(k + 1)/7
Let 64*n - 4/3*n**4 + 64/3*n**3 + 0 - 208/3*n**2 = 0. Calculate n.
0, 2, 12
Let n be (-11)/22 - 14/(-4). Let c(g) be the first derivative of -10/3*g**n + 2*g**5 + 5/2*g**2 + 0*g**4 + 0*g + 15 - 5/6*g**6. Solve c(o) = 0.
-1, 0, 1
Solve -3949*x - 53693 + 360*x**2 + 74144 - 3*x**3 - 10451*x + 171549 = 0.
40
Find y, given that -235254*y + 627 + y**2 + 117609*y + 117593*y = 0.
19, 33
Let j(d) = -3*d**3 - 24*d**2 + d + 18. Suppose 0 = 11*p + 51 + 37. Let c be j(p). Determine x so that -c*x**4 + 10*x**3 + 5/2*x**5 + 5*x**2 + 5 - 25/2*x = 0.
-1, 1, 2
Let d be 82/(-287) + (-145)/7. Let c be 14/16*(-1)/(d/162). Suppose -27/4*f + c*f**3 + 3/2 + 15/4*f**2 - 21/4*f**4 = 0. What is f?
-1, 2/7, 1
Let m be ((-16)/2)/(((-2)/6)/1). Factor -4*j**2 - 6 - m*j + 45*j - 10*j.
-(j - 2)*(4*j - 3)
Let n(j) be the first derivative of -j**4/30 - 4*j**3/9 + 368. Factor n(v).
-2*v**2*(v + 10)/15
Let t be ((-224)/(-10))/((8/(-12))/((-20)/36)). Find u, given that -784/3 - 1/3*u**2 - t*u = 0.
-28
Let i = 5/16412 - -32809/49236. Suppose 22/3*p**3 + 0 - 2/3*p**4 + i*p**2 - 22/3*p = 0. What is p?
-1, 0, 1, 11
Let j = -55731/2 - -27866. Let p(h) be the first derivative of 0*h + 1/3*h**6 - j*h**4 + 1 + 0*h**2 - 4/15*h**5 + 4/9*h**3. Let p(l) = 0. What is l?
-1, 0, 2/3, 1
Suppose -8*i + 74 = 16*i - 46. Let n(a) be the third derivative of -1/12*a**i - 10/3*a**3 - 25/24*a**4 + 21*a**2 + 0*a + 0. Factor n(h).
-5*(h + 1)*(h + 4)
Let n(u) = -13*u**4 - 3*u**3 + 24*u**2 - 18*u - 6. Let t(a) = -11*a**4 - 3*a**3 + 23*a**2 - 15*a - 5. Let h(f) = -5*n(f) + 6*t(f). Factor h(v).
-v**2*(v - 3)*(v + 6)
Let b = 17 - 14. Determine h so that 60*h + 64*h**3 + 39*h**2 - 51*h**3 - 32*h**b - 14*h**3 - 12 = 0.
-1, 2/11, 2
Suppose 0 = 27*z + 93*z + 9*z - 387. Factor -6/7*k**2 - 12/7*k + 3/7*k**z + 24/7.
3*(k - 2)**2*(k + 2)/7
Determine u, given that -18*u**3 + 201/2*u**2 - 82*u - 1/2*u**4 + 0 = 0.
-41, 0, 1, 4
Let q(r) be the third derivative of -r**6/160 - 129*r**5/80 - 5439*r**4/32 - 75295*r**3/8 - 2*r**2 + 81*r - 2. Determine u, given that q(u) = 0.
-55, -37
Let f(b) = -14*b**4 - 41*b**3 + 28*b**2 - 9*b - 12. Let y(i) = -10*i**4 - 39*i**3 + 28*i**2 - 9*i - 10. Let j(n) = -5*f(n) + 6*y(n). Solve j(l) = 0 for l.
0, 9/10, 1
Let u be 121/(-11) + 1225/98. Determine l, given that u + 15/2*l**2 - 9*l = 0.
1/5, 1
Let g = -1515719 + 1516247. Let -484/5*k**5 - g*k**4 - 5512/5*k**2 - 5492/5*k**3 - 512/5 - 2688/5*k = 0. Calculate k.
-2, -1, -8/11
Let n(l) be the second derivative of -9*l**5/20 + 535*l**4/4 - 89*l**3 + 2*l + 457. Factor n(a).
-3*a*(a - 178)*(3*a - 1)
Let a(w) = 3*w**2 - 178*w - 125. Let h be a(60). Let s be (h*4/(-800))/(7/56). What is z in 8/5 - s*z**3 - 2/5*z**2 + 4/5*z = 0?
-2, 2
Let k(y) be the first derivative of -y**6/8 + 27*y**5/10 - 285*y**4/16 + 109*y**3/2 - 171*y**2/2 + 66*y - 2468. Solve k(a) = 0.
1, 2, 11
Let i = -104 - -104. Suppose 5*s - 77 + 52 = i. Let s*z + 7*z**2 - 2*z - 4*z**2 = 0. What is z?
-1, 0
Let t be 10/(-6) + 1 - 2988/(-27). Find b, given that -67*b + t*b**2 - 24*b**3 + 8 + 7*b + 16*b - 14*b = 0.
1/4, 1/3, 4
Let x be (368/32 - 11)*56/18. Let g = -3163/72 + 371/8. Find o such that 2*o**5 + 0 + 4/9*o - x*o**4 - g*o**3 + 14/9*o**2 = 0.
-1, -2/9, 0, 1
Let z(h) be the first derivative of 2*h**3/3 + 706*h**2 - 1414*h - 2624. Let z(l) = 0. Calculate l.
-707, 1
Let b be -3088 + 3082 + (102/10 - (-1 + 2)). Factor 24/5*a**4 + 0 + b*a + 48/5*a**2 + 52/5*a**3 + 4/5*a**5.
4*a*(a + 1)**2*(a + 2)**2/5
Suppose -r - 5*m - 15 = -0*r, 2*r = -4*m - 12. Suppose r = 5*t + 25 - 35. Factor -3*p**2 - 9*p**2 + 243 - 54*p + 20*p**t - 5*p**2.
3*(p - 9)**2
Let r be (0/15)/(-10)*5/10 - 0. Solve 0*k + 2/7*k**3 + 1/7*k**2 + r + 1/7*k**4 = 0 for k.
-1, 0
Let u = -359 + 357. Let q be -2*u/24 + (-74)/(-444). Factor 1 - v**2 + 1/3*v**3 - q*v.
(v - 3)*(v - 1)*(v + 1)/3
Let w = -345 - -345. Factor -5*t + w*t + 10 + 5*t**3 + 383*t**2 - 772*t**2 + 379*t**2.
5*(t - 2)*(t - 1)*(t + 1)
Suppose 13 = 4*h + n, -5*h + 3*n = -17 - 12. Let b = h - 2. Factor -2*i + 4*i**b - 5*i + 3*i + 4*i**3 - 6*i**4 + 2*i**2.
-2*i*(i - 1)*(i + 1)*(3*i - 2)
Let i(y) be the first derivative of -y**5/10 + 15*y**4 - 118*y**3/3 + 590. Factor i(q).
-q**2*(q - 118)*(q - 2)/2
Let v(u) be the second derivative of 1/15*u**6 - 24 + 0*u**2 + 0*u**3 + 3/2*u**4 - 3/5*u**5 + u. Factor v(s).
2*s**2*(s - 3)**2
Let c(j) be the third derivative of 180*j**2 - 4/35*j**7 + 0*j - 1/30*j**6 + 2/5*j**5 + 0 + 0*j**3 + 1/6*j**4. Factor c(u).
-4*u*(u - 1)*(u + 1)*(6*u + 1)
Let a(d) be the third derivative of d**7/22680 - d**6/6480 - d**5/54 - 185*d**4/24 - 61*d**2. Let b(x) be the second derivative of a(x). Factor b(z).
(z - 5)*(z + 4)/9
Let b(f) be the second derivative of -f**4/6 + f**3 + 7*f**2 + 37*f. Let t(u) = -u**2 + u. Let q(n) = 4*b(n) - 4*t(n). Let q(o) = 0. What is o?
-2, 7
Let k(c) be the third derivative of 0*c**4 + 0*c**3 + 3/220*c**6 - 1/385*c**7 + 0*c**5 - 1/154*c**8 + 0 + 73*c**2 + 0*c. Factor k(y).
-6*y**3*(y + 1)*(4*y - 3)/11
Let m = -8121 + 8129. Let r(h) be the second derivative of 4*h**2 - m*h + 0 + 3/10*h**5 + 11/6*h**4 + 4*h**3. Factor r(s).
2*(s + 1)*(s + 2)*(3*s + 2)
Let f(d) be the second derivative of 35*d**4/12 + 265*d**3/6 + 225*d**2 + 166*d + 2. Factor f(z).
5*(z + 5)*(7*z + 18)
Let j(q) be the third derivative of -1/48*q**6 - 17/60*q**5 - 2*q + 0 - 43/48*q**4 + 5*q**2 + 5/6*q**3. What is h in j(h) = 0?
-5, -2, 1/5
Let 45/2*b + 15/2*b**3 + 93/4*b**2 + 0 + 3/4*b**4 = 0. Calcul