e of f**5/25 + f**4/5 - 67*f**3/15 - 77*f**2/5 + 1176*f/5 - 3991. Factor s(d).
(d - 6)*(d - 4)*(d + 7)**2/5
Let r(g) = 15*g**3 - 145*g**2 + 525*g - 410. Let s(l) = 8*l**3 - 72*l**2 + 261*l - 206. Let h(u) = 3*r(u) - 5*s(u). Factor h(o).
5*(o - 10)*(o - 4)*(o - 1)
Let v(m) be the first derivative of 1/7*m**2 + 90 - 4/21*m**3 - 3/14*m**4 + 0*m. Factor v(u).
-2*u*(u + 1)*(3*u - 1)/7
Let z = -1995 + 5987/3. Let m(c) be the second derivative of 0*c**3 - 1/9*c**4 + z*c**2 + 0 - c. Factor m(l).
-4*(l - 1)*(l + 1)/3
Let f(l) be the first derivative of 2*l**5/25 - 4*l**3/15 + 2*l/5 - 2236. Suppose f(j) = 0. Calculate j.
-1, 1
Suppose 745/3*o**3 + 62*o**2 + 0*o + 0 + 4/3*o**4 = 0. Calculate o.
-186, -1/4, 0
Let w be (216/243)/(((-190)/(-15))/19). Find c such that w*c**3 + 4/3*c**4 - 8/3*c**2 + 4/3 - 2/3*c**5 - 2/3*c = 0.
-1, 1, 2
Factor -72*i + 477 - 45 + 8*i**2 - 5*i**2.
3*(i - 12)**2
Let c(r) be the first derivative of -1029*r**5/10 - 4851*r**4 - 86751*r**3 - 708588*r**2 - 4782969*r/2 - 11096. Factor c(f).
-3*(f + 3)*(7*f + 81)**3/2
Factor 5378*r - 11*r**2 - 2584805 - 351*r + 1775*r + 6*r**2 + 388*r.
-5*(r - 719)**2
Factor -8/3*s**3 + 2/3*s**4 - 8/3*s**2 + 0 + 32/3*s.
2*s*(s - 4)*(s - 2)*(s + 2)/3
What is w in 6/11*w**2 - 2/11*w**4 - 68/11*w + 24/11*w**3 - 48/11 = 0?
-1, 2, 12
Let y = -27862 - -27866. Let a(q) be the second derivative of -5/2*q**3 + 15*q + 0 + 5/12*q**y + 5*q**2. Suppose a(k) = 0. Calculate k.
1, 2
Let f(a) be the third derivative of 2*a**2 - 1/12*a**3 - 1/16*a**4 + 1/672*a**8 + 1/120*a**6 - 1/60*a**5 - 2 + 0*a + 1/140*a**7. Factor f(i).
(i - 1)*(i + 1)**4/2
Factor -1/3*d**3 + 768 - 268*d + 76/3*d**2.
-(d - 64)*(d - 6)**2/3
Let x = 689/35 - 97/5. Let w be ((-177)/3717)/((-12)/648). Factor -12/7*p - x*p**2 - w.
-2*(p + 3)**2/7
Let f(r) = -390*r - 11697. Let z be f(-30). Let b(k) be the first derivative of -9 - 3/4*k**4 + 6*k**2 - z*k**3 + 0*k. Factor b(o).
-3*o*(o - 1)*(o + 4)
Solve 1000*a**3 + 740*a - 1624*a**2 + 170 + 2306*a**2 + 3018*a**2 - 602 + 24*a**4 + 8*a**4 = 0 for a.
-27, -4, -1/2, 1/4
Let l = -267740 - -267742. Let 4/5*h**5 + 136/5*h**l + 24/5*h**4 - 32 - 148/5*h**3 + 144/5*h = 0. What is h?
-10, -1, 1, 2
Let h(n) be the second derivative of -n**5/5 + 16*n**4/3 + 202*n**3/3 + 168*n**2 - 6*n + 232. Factor h(l).
-4*(l - 21)*(l + 1)*(l + 4)
Let -a**2 - 385/4 + 97/4*a = 0. What is a?
5, 77/4
Let l be (-48)/(-40)*160/12. Let j be 1 - 34/6 - (l - 22). Factor 0 + 2*c**3 + 0*c - j*c**2.
2*c**2*(3*c - 2)/3
Suppose 219*k + 3504 = 3942. Factor 6/5*g - 1/5*g**k - 1.
-(g - 5)*(g - 1)/5
Let l(m) be the second derivative of 13*m + 1/36*m**4 - 1/9*m**3 + 0*m**2 + 0 + 1/60*m**5. Factor l(n).
n*(n - 1)*(n + 2)/3
Let j(u) be the third derivative of 0*u + 14*u**2 + 0*u**3 - 3 - 1/4*u**4 + 31/180*u**5 - 13/360*u**6. Factor j(f).
-f*(f - 1)*(13*f - 18)/3
Let q(v) be the second derivative of -1/10*v**6 + 0*v**2 + v**4 + 2*v**3 - 3/20*v**5 + 0 + 18*v. Find u such that q(u) = 0.
-2, -1, 0, 2
Let h(j) = j**3 - 2*j**2 - 2*j - 8. Let a be h(0). Let t(m) = -4*m - 26. Let n be t(a). Let 300*z**3 + 6 - 57*z - 173*z**2 + n*z**2 - 82*z**2 = 0. What is z?
-1/4, 2/25, 1
Let w be (441/(-12))/(-3) - (10 + -2). Let b be (-11 - (-92)/8)/(2/7). Suppose -b*q**2 + 2*q**3 - w*q - 1/2 = 0. Calculate q.
-1, -1/8, 2
Let u(f) = -4 - 65*f**2 + 129*f**2 - 65*f**2 - 33*f. Let v(c) = c - 1. Let i(d) = u(d) - 4*v(d). Factor i(r).
-r*(r + 37)
Suppose 2*d + 6 = 5*x, -40*d + 12 = -38*d + 4*x. Find l such that 3*l**3 - 45/2*l**d + 24*l + 18 = 0.
-1/2, 2, 6
Let p(v) be the second derivative of -146*v - 1/60*v**5 + 0*v**2 + 13/6*v**3 + 0 - 19/18*v**4. Suppose p(f) = 0. Calculate f.
-39, 0, 1
Determine r so that -586/9*r**2 + 1/9*r**5 + 392 + 67/3*r**3 - 8/3*r**4 - 140/3*r = 0.
-2, 6, 7
Let o = -794 + 800. Solve -3*w**3 + 2*w**2 - 7*w**2 + 24 + 7*w**2 - o*w**2 + 12*w - 2*w**2 = 0 for w.
-2, 2
Let l(c) be the first derivative of 26/15*c**5 - 109 + 22/9*c**3 - 2/3*c**2 + 0*c - 19/6*c**4 - 1/3*c**6. Find w, given that l(w) = 0.
0, 1/3, 1, 2
Let y = -243654 - -243654. Let 6/5*v**4 - 12/5*v - 2/5*v**3 + 2/15*v**5 - 58/15*v**2 + y = 0. Calculate v.
-9, -1, 0, 2
Let w(k) be the first derivative of 19/2*k**2 + k**3 + 11 + 7/24*k**4 + 0*k + 1/60*k**5. Let a(r) be the second derivative of w(r). Factor a(b).
(b + 1)*(b + 6)
Suppose 5*r = 2*y + 21, -4*y + 5*r = -y + 19. Suppose -4*c = y*n - 2, 24*n - 5 = -4*c + 19*n. Factor 1/7*d**5 + c - 1/7*d**3 + 0*d**2 + 0*d**4 + 0*d.
d**3*(d - 1)*(d + 1)/7
Suppose 0 = -n - f - 3*f + 33, n = 3*f + 54. Let r = -115 - -125. What is p in 86*p**2 + r*p - 43*p**2 - n*p**2 = 0?
0, 5
Let y(w) be the first derivative of 15/2*w**2 + 1/6*w**6 + 38/3*w**3 - 305 + 0*w + 2*w**5 + 8*w**4. Find x, given that y(x) = 0.
-5, -3, -1, 0
Suppose -3*v - 3 = 10*a - 8, a + 23 = -5*v. Let q(t) be the third derivative of 1/27*t**3 + 43*t**a - 7/270*t**5 + 0*t + 1/18*t**4 + 0. Solve q(x) = 0.
-1/7, 1
Let w(h) = -h**2 - h + 6. Let v = -200 - -194. Let c(r) = 3. Let q(n) = v*c(n) - 3*w(n). Factor q(s).
3*(s - 3)*(s + 4)
Factor 25*t + 145*t - 33 + 20*t + 16*t**3 + 82*t - 4*t**4 + 148*t**2 + 177.
-4*(t - 9)*(t + 1)*(t + 2)**2
Let f(a) be the third derivative of -a**5/140 - 53*a**4/56 - 215*a**3/7 - a**2 + 1053*a - 1. Factor f(l).
-3*(l + 10)*(l + 43)/7
Let p be (-21)/784*-8 + 3/18*(-28680)/(-560). What is z in -15 - 5/4*z**2 + p*z = 0?
3, 4
Let a(c) be the first derivative of -4/9*c**6 + 0*c - 2*c**2 + 2/15*c**5 + 34/9*c**3 + 14/3*c**4 + 23. Find l, given that a(l) = 0.
-2, -1, 0, 1/4, 3
Suppose -10 = -14*d + 32. Suppose 15 = d*s, -h - 4*s - 18 = -8*s. Factor -14*w - 5*w**h - 3*w**3 + 38*w - 7*w**2 - 9*w**2.
-3*w*(w - 1)*(w + 8)
Let i(r) = r**3 - 13*r**2 + 13*r - 16. Let p be i(12). Let y be (1 + 1)*(6 - p/(-1)). Find z such that -4*z + 3 + 0*z - y + z**2 + 4 = 0.
1, 3
Let a = 84466 - 422324/5. Factor -9/5*u - 6/5*u**2 + a*u**3 + 9/5*u**4 + 3/5*u**5 - 3/5.
3*(u - 1)*(u + 1)**4/5
Factor -4/3*j**2 + 4172/3*j - 1087849/3.
-(2*j - 1043)**2/3
Let o(b) be the second derivative of -7*b**4/54 - 488*b**3/27 + 140*b**2/9 + 2835*b - 2. Factor o(x).
-2*(x + 70)*(7*x - 2)/9
Suppose 0 + 276/5*m**3 - 216/5*m**2 - 56/5*m**4 - 4/5*m**5 + 0*m = 0. What is m?
-18, 0, 1, 3
Let c(h) = 3*h**3 - 4*h**2 + 3*h - 1. Let d be c(2). Suppose 0 = 6*z - d - 5. Solve 5*o**z + 2*o**2 + 5*o + 12*o + 13*o**2 - 7*o = 0.
-2, -1, 0
Let a(x) be the second derivative of x**6/10 + 3*x**5/5 - 77*x**4/4 + 108*x**3 - 216*x**2 + 8*x - 38. Find k such that a(k) = 0.
-12, 1, 3, 4
Let n = -380 + 461. Let b be (n/(-144))/(((-3)/(-4))/(-1)). Let y**4 + 5/4*y - 5/4*y**3 - b*y**2 - 1/4 = 0. Calculate y.
-1, 1/4, 1
Factor 137*u**4 + 0*u + 0*u**2 + 0 + 82/3*u**3 + 5/3*u**5.
u**3*(u + 82)*(5*u + 1)/3
Let n(d) = 25*d**2 - 29*d + 84. Let x(u) = -5*u**2 - u + 1. Suppose 2*z - 4 = -3*c + 3, 3*z = 3*c - 12. Let o(t) = z*n(t) - 6*x(t). What is h in o(h) = 0?
-9, 2
Let c(y) be the second derivative of -y**7/168 - 31*y**6/24 - 811*y**5/8 - 24735*y**4/8 - 91035*y**3/8 - 132651*y**2/8 - 836*y. Let c(m) = 0. Calculate m.
-51, -1
Let b be 188/3 + (-220782)/3561. Let -4/3*o**2 - 10/3*o + b*o**3 + 4 = 0. What is o?
-2, 1, 3
Let c(a) = 49*a**2 - 1898*a + 906298. Let y(v) = 57*v**2 - 1897*v + 906297. Let i(o) = 7*c(o) - 6*y(o). Determine r, given that i(r) = 0.
952
Find b such that 5*b**3 - 24*b**2 + 2222*b + 224 - 44 - 31*b**2 - 2102*b = 0.
-1, 6
Suppose 3*t - u = 13, -6*u - 22 = -5*t - 4*u. Let l(j) be the third derivative of 0*j + 29*j**2 + 0 - 15/4*j**t - 135/2*j**3 - 1/12*j**5. Solve l(q) = 0 for q.
-9
Let w be -5 + 630/130 + (-67)/(-13). Let s(y) be the second derivative of 1/3*y**4 - 17*y + 0 - 2*y**2 - 1/5*y**w + 2/3*y**3. Factor s(g).
-4*(g - 1)**2*(g + 1)
Let r = -179 + 167. Let s be (10/r)/(20/(-12)). Find c such that 0*c**2 + s*c + 0 - 1/2*c**3 = 0.
-1, 0, 1
Suppose -y - 5*b + 17 = 0, -21*b - 8 = 4*y - 20*b. Let v be (126/11)/y + 71 + -67. Let 0*n - 4/11*n**3 + v*n**4 + 2/11*n**2 + 0 = 0. What is n?
0, 1
Suppose 25*g - 27*g = 10, 0 = 5*f - 5*g - 775. Factor -f*q**2 - 90*q + 158*q**2 + 59*q - 125*q + 76.
4*(q - 19)*(2*q - 1)
Let h = -4108 - -4113. Let l(x) be the second derivative of -3/20*x**h + 13*x - 3*x**2 + 1/2*x**4 + 0 + 1/2*x**3. Let l(a) = 0. What is a?
-1, 1, 2
Let s be (-3)/(3/(0 - 3)). Solve 24*d - 3*d**4 - 93*d**3 + 33*d**3 + 36*