 Let r(z) = 12*z**3 + 9118*z**2 + 6070*z + 1012. Let n(u) = -2*r(u) - 4*t(u). Factor n(i).
-4*(i + 506)*(3*i + 1)**2
Suppose 6*u + 8804 = -574. Let v = -14065/9 - u. Let -8/9 + 4/3*b**3 + 8/3*b - 26/9*b**2 - v*b**4 = 0. What is b?
1, 2
Suppose 10*l - 2*l - 71 = -23. Let i(o) be the third derivative of 1/105*o**7 + 2/75*o**5 + 0 - 1/25*o**l - 11*o**2 + 0*o + 0*o**3 + 0*o**4. Factor i(r).
2*r**2*(r - 2)*(5*r - 2)/5
Let x be (2 - 18/8) + 2/8. Let u(v) be the second derivative of x*v**3 + 0 + 5/2*v**2 - 5/12*v**4 + 8*v. Suppose u(l) = 0. Calculate l.
-1, 1
Let j(y) be the first derivative of -9*y**4/20 - 4*y**3/5 - 22*y - 90. Let t(k) be the first derivative of j(k). Solve t(o) = 0.
-8/9, 0
Let y = -121 + 123. What is n in n**4 + 2*n**2 - 13*n**4 + 13*n**y + 4*n**5 + n**2 = 0?
-1, 0, 2
Suppose -100*n - 130*n = 103*n - 999. Let r(p) be the first derivative of -2/15*p**3 - n + 4/5*p**2 + 2*p. Find v, given that r(v) = 0.
-1, 5
Factor 16/19*q**2 + 58/19*q - 24/19.
2*(q + 4)*(8*q - 3)/19
Suppose 5*z - 5*x - 21 = -6, 9 = 3*z + 2*x. Let 14*u**z - 26*u**3 - 51*u**2 + 0*u - 12*u = 0. Calculate u.
-4, -1/4, 0
Suppose 32*r - 26 = 3*y + 34*r, -y = -3*r - 6. Let v be ((-14)/y + 76/(-228))*1. Solve -15/7*c + 0 - 3/7*c**3 - 18/7*c**v = 0 for c.
-5, -1, 0
Let a(k) be the second derivative of k**4/78 - 5*k**3/3 + 3*k - 252. Solve a(z) = 0 for z.
0, 65
Let u(n) = -9*n**3 + 21*n**2 - 24*n - 24. Let p(s) = -10*s**3 + 20*s**2 - 25*s - 30. Let b(c) = 4*p(c) - 5*u(c). Factor b(q).
5*q*(q - 4)*(q - 1)
Let j(x) be the second derivative of x**6/5 + 2883*x**5/40 + 7230*x**4 + 3600*x**3 + 245*x + 1. Find t, given that j(t) = 0.
-120, -1/4, 0
Suppose 175*p + 72 = 193*p. Find b, given that 8*b**2 + 0 + 4*b**3 + 1/2*b**p + 0*b = 0.
-4, 0
Let f(j) be the second derivative of -1/90*j**5 - 10*j**2 + 1/6*j**4 - 21*j + 0 - 5/9*j**3. Let n(q) be the first derivative of f(q). Factor n(g).
-2*(g - 5)*(g - 1)/3
Factor 12/5*t**2 + 0 - 8/5*t - 4/5*t**3.
-4*t*(t - 2)*(t - 1)/5
Let p(c) be the second derivative of -2*c - 7/54*c**4 - 21 - 1/45*c**5 + 4/9*c**2 + 5/27*c**3. Factor p(z).
-2*(z - 1)*(z + 4)*(2*z + 1)/9
Let a(u) be the first derivative of 2*u**3/3 + 41*u**2 + 80*u + 3640. Find v, given that a(v) = 0.
-40, -1
Let u(f) = -f**2 + 23*f - 73. Let w be u(19). Determine n, given that 75*n**4 + 413*n**2 - 423*n**2 - 4*n**3 - 61*n**w = 0.
-2/15, 0, 1
Let h(d) be the first derivative of 2*d**3/33 - 799*d**2/11 - 1600*d/11 + 6903. Determine r so that h(r) = 0.
-1, 800
Suppose 35*c + 25*c = -40*c + 92*c. Find p such that 8/7*p**3 - 12/7*p - 10/7*p**2 + c = 0.
-3/4, 0, 2
Let n(d) be the first derivative of d**6/1800 + 3*d**5/100 + 7*d**4/15 + d**3/3 + 53*d**2 + 91. Let a(s) be the third derivative of n(s). Factor a(k).
(k + 4)*(k + 14)/5
Let u(q) be the third derivative of -1/40*q**6 + 0 + 1/6*q**4 + 0*q + 100*q**2 + 0*q**3 + 0*q**5 - 1/210*q**7. What is m in u(m) = 0?
-2, 0, 1
Suppose 19*a = 1093 + 1149. Let o be ((-1)/6)/(a/(-177)). Suppose -1/2*z - 1/4 - o*z**2 = 0. Calculate z.
-1
Let g(m) = -3*m**2 - 124*m - 116. Let j(n) = 2*n**2 + 5*n - 2. Let p(l) = -g(l) - j(l). Factor p(x).
(x + 1)*(x + 118)
Suppose -3575*r + 3567*r = -10152. Let g = 8893/7 - r. Solve 2/7*t**5 - g*t**2 - 6/7*t**3 - 4/7*t + 0 + 2/7*t**4 = 0.
-1, 0, 2
Factor 1088/5 + 1664/5*f + 4/5*f**4 + 864/5*f**2 + 32*f**3.
4*(f + 2)**3*(f + 34)/5
Let c = 99207/340 - -422/85. Let n = c + -296. Factor -3/4*z**2 + 3/2 + n*z.
-3*(z - 2)*(z + 1)/4
Let h(v) be the second derivative of v**7/15 + 13*v**6/90 + v**5/10 + 7*v**3/6 + 3*v**2/2 + 276*v. Let c(p) be the second derivative of h(p). Factor c(z).
4*z*(2*z + 1)*(7*z + 3)
Suppose -9*u + 30 = -8*u. Factor 8*v + u*v - 3*v**2 - 44*v.
-3*v*(v + 2)
Find p such that 6 - 316*p - 75*p**4 - 72 - 510*p**2 - 29*p + 3*p**5 - 330*p**3 - 21 = 0.
-1, 29
Let w be ((-480)/168)/((70/(-210))/(1/(3/2))). Factor -w*a + 2/7*a**2 + 0.
2*a*(a - 20)/7
Let o be (36/(-45) - 2) + 203/35. Factor -1/6*b**o - 1/2*b + 0 + 2/3*b**2.
-b*(b - 3)*(b - 1)/6
Let f be (-21 - 7) + -25 + 66. Factor 51/4*m + 1/4*m**2 - f.
(m - 1)*(m + 52)/4
Let q(l) be the third derivative of -l**5/30 + l**3/3 + 77*l**2 - 1. Factor q(j).
-2*(j - 1)*(j + 1)
Factor -2412/7 + 6/7*z**2 - 1194/7*z.
6*(z - 201)*(z + 2)/7
Let l(w) be the third derivative of w**8/336 + 5*w**7/21 + 299*w**6/40 + 340*w**5/3 + 2312*w**4/3 + 5122*w**2. Factor l(n).
n*(n + 8)**2*(n + 17)**2
Let z(g) be the first derivative of -8*g**5/25 - 17*g**4/10 - 16*g**3/5 - 13*g**2/5 - 4*g/5 + 815. Find n, given that z(n) = 0.
-2, -1, -1/4
Let c = -829 - -831. Let w(u) be the second derivative of 0 + 1/70*u**5 + 1/14*u**4 + 2/21*u**3 + 12*u + 0*u**c. Let w(n) = 0. Calculate n.
-2, -1, 0
Let s(i) be the second derivative of -17*i**4/3 - 794*i**3/3 - 276*i**2 + 676*i. Factor s(k).
-4*(k + 23)*(17*k + 6)
Suppose 37*i = 3*i - 1020. Let l be 648/280 + i/42. Factor -4/5*x**2 - 4/5*x + l.
-4*(x - 1)*(x + 2)/5
Factor 452 - 4*d**2 - 119*d - 95*d + 308 - 158*d.
-4*(d - 2)*(d + 95)
Let x(d) be the third derivative of d**5/300 - 13*d**4/30 + 976*d**2 + 2. Factor x(h).
h*(h - 52)/5
Let m(l) be the first derivative of -35 + 0*l**2 - 3/28*l**4 + 3/35*l**5 + 0*l + 0*l**3. Factor m(u).
3*u**3*(u - 1)/7
Factor -291847*i**2 + 23 - 23 + 291843*i**2 - 2804*i.
-4*i*(i + 701)
Let j(u) = -u**3 - 68*u**2 - 639*u - 682. Let s be j(-57). Factor 0 - 12/11*c**s + 13/11*c - 1/11*c**3.
-c*(c - 1)*(c + 13)/11
Let b(j) be the first derivative of -j**4/84 + 52*j**3/21 - 1352*j**2/7 + 255*j + 213. Let m(g) be the first derivative of b(g). Suppose m(u) = 0. What is u?
52
Let c(n) be the first derivative of -100/21*n**3 - 160/7*n**2 - 256/7*n + 46. Factor c(a).
-4*(5*a + 8)**2/7
Suppose 5*z - 5*s - 5 = 0, 2*s - 18 = -z - z. Suppose -15 = -5*i + z. Factor -4*g**2 + 28*g - 4 + i*g - 60.
-4*(g - 4)**2
Let v(f) = -3*f**4 - f**3 + f**2 + f. Let i(o) = -18*o**4 - 72*o**3 - 138*o**2 - 108*o - 30. Let d(n) = -i(n) + 3*v(n). Factor d(x).
3*(x + 1)**2*(x + 5)*(3*x + 2)
Let d = 1181 + -331. Let i = d + -5946/7. Let 0*p + 4/7*p**5 - i*p**2 - 12/7*p**4 + 0 + 12/7*p**3 = 0. Calculate p.
0, 1
Let z(k) be the second derivative of -100*k**3 + 1/135*k**6 + 3 - 375*k**2 + 35/3*k**4 - 22/45*k**5 - 4*k. Factor z(j).
2*(j - 15)**3*(j + 1)/9
Let z = 130503 + -130499. What is h in -3/2*h**z + 0 - 3/2*h**5 + 0*h + 6*h**3 + 6*h**2 = 0?
-2, -1, 0, 2
Let o(v) be the second derivative of 0*v**3 - 26*v + 0 + 1/48*v**4 - 1/2*v**2. Find t, given that o(t) = 0.
-2, 2
Let n be 2/4 - (20/36 - (-629)/(-306)). Let a = -34/165 - -14/15. Determine p so that 48/11*p**n - 42/11*p**3 - a*p + 0 - 98/11*p**4 = 0.
-1, 0, 2/7
Let l(w) be the third derivative of 2/105*w**7 - 65*w**2 + 1 + 0*w - 10/3*w**4 + 6/5*w**5 + 16/3*w**3 - 7/30*w**6. Factor l(b).
4*(b - 2)**3*(b - 1)
Let g(v) be the second derivative of -v**7/14 - 3*v**6/10 + 3*v**5/20 + 3*v**4/4 - 33*v - 3. Let g(r) = 0. Calculate r.
-3, -1, 0, 1
Let o = 9/4225 - 908528/71825. Let r = o - -1993/85. Factor 291/5*j**2 + r*j**3 + 432/5*j + 3/5*j**4 + 192/5.
3*(j + 1)**2*(j + 8)**2/5
Let b(s) be the second derivative of 0*s**3 + 1/80*s**5 + 33 - 2*s + 0*s**2 - 1/48*s**4. Solve b(v) = 0.
0, 1
Let v(h) be the first derivative of -h**4/14 - 16*h**3/21 - 3*h**2 - 36*h/7 + 1454. Determine j so that v(j) = 0.
-3, -2
Let z(s) = s**4 - 7*s**3 - 3*s**2 + 12*s + 3. Let g(k) = -3*k**2 + k**4 + 12 + 3 - 6*k**3 - 10 + 14*k - 3. Let m(b) = -3*g(b) + 2*z(b). What is d in m(d) = 0?
-2, 0, 3
Let l(s) be the third derivative of -s**5/180 + 97*s**4/72 - 91*s**3/3 - 69*s**2 + 2*s - 4. Factor l(g).
-(g - 91)*(g - 6)/3
Let q = 877897/9 + -97543. Factor q*x - 2/9*x**2 + 4/3.
-2*(x - 6)*(x + 1)/9
Let p(n) = -2*n**3 - 7*n**2 + 3079*n + 167. Let a be p(-41). Find z, given that 166375/4 - 1/4*z**a - 9075/4*z + 165/4*z**2 = 0.
55
Determine n, given that -6/5*n**2 - 1344/5*n - 12152/5 + 2/5*n**3 = 0.
-14, 31
Let j(v) be the first derivative of -2*v**6/15 + 2*v**4 - 16*v**3/3 + 6*v**2 + 121*v - 1. Let d(b) be the first derivative of j(b). Find a, given that d(a) = 0.
-3, 1
Let h(j) be the first derivative of 6 - 1/10*j**5 + 0*j + 14*j**2 + 0*j**3 + 1/12*j**4. Let c(l) be the second derivative of h(l). Factor c(t).
-2*t*(3*t - 1)
Let a = -297/13 - -607/26. Factor -14 + 17/2*u + a*u**3 + 5*u**2.
(u - 1)*(u + 4)*(u + 7)/2
Let i(n) = n**3 