o(a) = 4*a**2 + 7985*a + 6. Let z(m) = 60*m**2 + 119778*m + 92. Let n(c) = -46*o(c) + 3*z(c). Factor n(t).
-4*t*(t + 1994)
Factor -3*p**2 - 1508*p + 8*p**2 + 758*p.
5*p*(p - 150)
Let w(j) be the third derivative of 1/42*j**7 - 23*j**2 - 1/4*j**5 - 4 + 25/6*j**4 - 1/4*j**6 - 10*j**3 + 0*j. What is t in w(t) = 0?
-2, 1, 6
Suppose -14*m + 26469 = -31*m. Let z = m - -4711/3. Solve -4*f**3 - z*f**2 - 8/3 - 12*f = 0.
-2, -1, -1/3
Let v = 38257/254780 + -2/12739. Let l(u) be the third derivative of 0*u + 0 - 1/10*u**5 + 9/5*u**3 - 18*u**2 + 1/100*u**6 + v*u**4. Solve l(z) = 0.
-1, 3
Let b(q) = q**2 - 6*q - 4. Let j be b(7). Suppose -g + 3*g = 30. Factor -32 + g + 2*n + 16 + 7*n**2 + 6*n**3 - 2*n**j.
(n + 1)**2*(4*n - 1)
Let t(m) be the second derivative of -m**5/25 - 4*m**4/15 + 74*m**3/15 + 16*m**2 - 16*m - 6. Suppose t(h) = 0. What is h?
-8, -1, 5
Let r(i) = 7*i**3 - 82*i**2 - 5*i - 15. Let t(m) = 3*m**3 - 37*m**2 - 2*m - 6. Let d(c) = 6*r(c) - 15*t(c). Solve d(p) = 0 for p.
0, 21
Let u(i) be the second derivative of -i**6/15 - 19*i**5/2 - 957*i**4/2 - 7623*i**3 + 143748*i**2 + i + 373. Let u(n) = 0. Calculate n.
-33, 4
Factor -3308*z**2 - 2*z**4 + 439*z**3 + 1309 + 15960*z - 287*z**3 - 23359.
-2*(z - 35)**2*(z - 3)**2
Let d(z) be the second derivative of 25*z**3/6 - 123*z**2/2 + 8*z + 6. Let n be d(5). Let 32/13 + 16/13*i + 2/13*i**n = 0. Calculate i.
-4
Let g be (-7)/((-70 + 71)/(1/(-1))). Let o be (-6 + g)*-4 - -9. Factor 0 + 0*k**3 - 3*k**o + 0*k**2 - 1/4*k**4 + 0*k.
-k**4*(12*k + 1)/4
Let i be -13 - -15 - (-1)/(-1) - -1. Factor 7*u**i + u**4 - 7*u**2 + 0*u**2 + u**5.
u**4*(u + 1)
Let v(k) = 2*k**2 - 68*k - 2. Let n(j) = -j**2 + 2*j - 1. Suppose 5*x = -144 + 134. Let m(c) = x*n(c) + v(c). Factor m(i).
4*i*(i - 18)
Let g(q) be the third derivative of q**2 + 0*q - 64/3*q**3 + 1/6*q**6 + 2/5*q**5 + 17 - 16/3*q**4 - 2/105*q**7. Solve g(d) = 0.
-2, -1, 4
Let s be (-4)/(-42) + (54 - (-77519)/(-1407)) - -5. Factor -s*v + 16/7*v**2 - 40/7 + 4/7*v**3.
4*(v - 2)*(v + 1)*(v + 5)/7
Let i(b) be the third derivative of -b**5/270 + 320*b**4/27 - 1279*b**3/27 - 4*b**2 - 343. Determine p, given that i(p) = 0.
1, 1279
Let v be (-10)/22*(-17589)/63960. Factor 5/4 - v*q**2 + 3/8*q.
-(q - 5)*(q + 2)/8
Let o(w) = 6*w**3 + 2*w**2 + w - 2. Let j(h) = -38*h**3 - 50*h**2 - 214*h - 268. Let n(d) = -j(d) - 6*o(d). Find m, given that n(m) = 0.
-10, -7, -2
Let 0*i - 477/7*i**3 + 0 + 3/7*i**5 + 162*i**2 + 24/7*i**4 = 0. Calculate i.
-18, 0, 3, 7
Let u = -5 - -7. Let q be 1/u*(-13 + 21). Factor -115*k**4 - 6*k**3 + q*k**2 - 121*k**4 + 226*k**4.
-2*k**2*(k + 1)*(5*k - 2)
Find a, given that 23*a**4 + 55*a**3 + 25*a**4 + 23*a**4 - 75*a**4 + 784*a**2 + 29*a**3 = 0.
-7, 0, 28
Suppose 0 = 5*c - 4*x - 61, -33 = -5*c + 3*x - 6*x. Let f(j) = 2*j - 4. Let q be f(3). Find r such that -8*r + c - r - 7*r**q - 11 = 0.
-1, -2/7
Factor 465681*u - 224*u**2 - 1072*u**2 - 1059*u**2 - 793822 - 1260103 + 3*u**3 + 677996.
3*(u - 391)**2*(u - 3)
Factor 118 + 8*p**3 + 114 - p**3 + 142*p**2 + 930*p - 365*p - 82.
(p + 5)*(p + 15)*(7*p + 2)
Let u = -2452 - -2454. Let i(r) be the first derivative of 3 - 1/12*r**4 + 1/3*r**u - 1/9*r**3 + 0*r. Factor i(j).
-j*(j - 1)*(j + 2)/3
Let v = -565031/3468 + 1955/12. Let u = v + 587/867. Solve -4/9*r + 0 - 2/9*r**3 - u*r**2 = 0.
-2, -1, 0
Let y be (100/(-550))/(8/(-22)) + (-9)/(-12). Let m(k) be the first derivative of y*k**4 + 9 + 5/6*k**2 + 0*k - 1/3*k**5 - 5/3*k**3. Let m(a) = 0. Calculate a.
0, 1
Let u(o) = -36*o + 218. Let n be u(6). Suppose -n*f = 953 - 959. Solve 2/5*w**f - 2/5*w**4 + 0 + 0*w**2 + 0*w = 0.
0, 1
Let m(p) be the third derivative of p**6/420 - 2*p**5/105 - 29*p**4/84 - 8*p**3/7 + 4*p**2 + 32. Determine v so that m(v) = 0.
-3, -1, 8
Let v(q) be the second derivative of -q**6/900 + 3*q**5/100 - 7*q**4/30 + 16*q**3/3 + 28*q. Let p(m) be the second derivative of v(m). Factor p(u).
-2*(u - 7)*(u - 2)/5
Let r be 4840/(-10890) - (-22)/(-36)*(-5 + 1 + 0). Factor -22/9*g**r - 2/3*g + 8/9*g**3 + 0.
2*g*(g - 3)*(4*g + 1)/9
Let v(d) be the third derivative of -d**8/84 - 32*d**7/105 + d**6/15 + 32*d**5/15 - d**4/6 - 32*d**3/3 + 1807*d**2. Find n, given that v(n) = 0.
-16, -1, 1
Suppose -16 + 18 - 78 = -19*t. Let n(o) be the third derivative of 0*o - 24*o**2 - 3/4*o**t + 0 - 1/20*o**5 - 4*o**3. Factor n(x).
-3*(x + 2)*(x + 4)
Suppose -26*j - 3 = -107. Suppose j*f + 12 = 6*l - l, 4*f = -2*l - 12. Factor 0 + 2/7*h**4 + l*h**2 + 2/7*h**3 + 0*h.
2*h**3*(h + 1)/7
Let n(g) be the third derivative of -g**6/48 - 29*g**5/8 - 105*g**4/4 + 40*g**2. Let n(o) = 0. Calculate o.
-84, -3, 0
Let z(q) = -q + 1. Let o(w) = -11*w**2 - 30*w - 11. Suppose 0 = 11*l - 26*l + 15. Let d(p) = l*o(p) + 5*z(p). Factor d(c).
-(c + 3)*(11*c + 2)
Let f = 54 - 52. Solve 5*z**3 + 10*z**2 - 10*z - z**f - 14*z**2 = 0 for z.
-1, 0, 2
Let t(r) be the third derivative of 3*r**5/20 - 5*r**4/24 - 5*r**3/3 + 2*r**2 + 38. Let q(p) = -10*p**2 + 5*p + 10. Let o(s) = -6*q(s) - 5*t(s). Factor o(d).
5*(d - 1)*(3*d + 2)
Let s(l) be the third derivative of 3*l**6/10 + 148*l**5/3 + 893*l**4/6 + 108*l**3 - 2*l**2 - 475. Factor s(f).
4*(f + 1)*(f + 81)*(9*f + 2)
Let n be 8/(-12)*-3 + -2 + 0. Let s(m) be the second derivative of 0*m**2 + 0*m**3 - 2/45*m**6 - 2/63*m**7 + 1/15*m**5 - 5*m + n + 1/9*m**4. Factor s(r).
-4*r**2*(r - 1)*(r + 1)**2/3
Let j = 586 - 584. Factor 4*h**3 - 14*h**2 + 3*h**3 - 64*h + 62*h**2 + 25*h - 18 + j*h**3.
3*(h - 1)*(h + 6)*(3*h + 1)
Factor -5 + 36 + 15 - 4 - 3*o**3 + 3 + 39*o - 9*o**2.
-3*(o - 3)*(o + 1)*(o + 5)
Let v be 10 - 45*-38*1. Let h = -1718 + v. Factor -32/5 - 1/5*k**3 - 32/5*k - h*k**2.
-(k + 2)*(k + 4)**2/5
Factor 80/3 + 26/3*b + 2/3*b**2.
2*(b + 5)*(b + 8)/3
Let v(p) be the second derivative of -1/50*p**5 - 3*p**2 - 2*p - 31/15*p**3 - 17/30*p**4 - 1. Factor v(q).
-2*(q + 1)**2*(q + 15)/5
Let h be (2/3)/(((-6920)/45)/4). Let y = 2055/1211 - h. Determine b so that 1/7*b**2 - y*b + 36/7 = 0.
6
Let x(m) be the first derivative of 0*m + 0*m**2 - 3/5*m**5 + 15/4*m**4 + 0*m**3 - 14. Suppose x(y) = 0. What is y?
0, 5
Let h = 7746 + -7741. Let u(q) be the second derivative of -1/12*q**2 - h*q + 1/120*q**5 + 0 + 1/12*q**3 - 1/24*q**4. Factor u(z).
(z - 1)**3/6
Let m(y) = y - 2. Let g be m(-6). Let h be 44/2 - (-5 - g). Factor 17*x + 4*x**2 + 4*x**3 - h*x + 0*x**4 - 2*x**4 - 2*x**5 - 2.
-2*(x - 1)**2*(x + 1)**3
Let p be 1/(-2) + 4384/1088. Let f = -148/119 + p. Suppose 0 - f*w**4 + 2/7*w**5 + 24/7*w - 8*w**2 + 46/7*w**3 = 0. What is w?
0, 1, 2, 3
Let t(c) = 9*c**2 + 3*c + 2. Let u be t(3). Factor 212*g - 270*g**2 + 8*g**3 + 48*g + u*g**3 - 5*g**4 - 110 + 25.
-5*(g - 17)*(g - 1)**3
Suppose 21*c = 25*c - 2*r + 8206, c + 2065 = 5*r. Let s = c + 2052. Suppose 1/4*q**s - 3/2*q + 2 = 0. Calculate q.
2, 4
Solve -62*b**2 + 20*b**2 + 57582 + b**3 - 57582 = 0.
0, 42
Let q(n) be the first derivative of -221 + 0*n + 1/4*n**4 - 14/5*n**5 + 0*n**3 + 0*n**2. Factor q(x).
-x**3*(14*x - 1)
Factor -3*i**4 + 11632 - 3057*i - 5144 - 1011*i**3 + 3051*i**2 - 5468.
-3*(i - 1)**3*(i + 340)
Suppose -138/5 - 28*h**3 + 136/5*h**2 + 28*h + 2/5*h**4 = 0. What is h?
-1, 1, 69
Factor 140184*f**2 + 100*f**4 - 428516 + 8160*f**3 - 506637*f + 2155112 - 565587*f.
4*(f - 3)**2*(5*f + 219)**2
Let d = -3775 - -3778. Let f(c) be the first derivative of -1/10*c**5 - 1/4*c**d + 1/4*c - 1/8*c**2 + 4 + 5/16*c**4. Let f(z) = 0. Calculate z.
-1/2, 1
Let s(v) be the second derivative of -v**4/36 - 8*v**3/9 - 55*v**2/6 + 2*v + 196. Factor s(i).
-(i + 5)*(i + 11)/3
Suppose 0 = -5*p + 3*p + 4. Let i = -5/49 + 19/49. Factor -10/7*d**p + 2*d + i*d**3 - 6/7.
2*(d - 3)*(d - 1)**2/7
Let o(m) be the second derivative of -m**7/2520 - m**6/180 + m**5/24 + m**4/4 + 3*m + 11. Let x(q) be the third derivative of o(q). Let x(s) = 0. What is s?
-5, 1
Let t(b) be the first derivative of -b**4/4 - 25*b**3/3 + 273*b**2/2 + 297*b + 12056. Determine v, given that t(v) = 0.
-33, -1, 9
Factor 34*c**2 - 28*c**2 + 41*c**2 + 280 + 48*c**2 + 375*c.
5*(c + 1)*(19*c + 56)
Let h be (9 + -7 - (1 + 2))*-2. Factor -62*t - 2028 - 98*t + 4*t - 3*t**h.
-3*(t + 26)**2
Let v = 338 + -336. Suppose 56*o - 108*o + 3*o**v - 50*o + 867 = 0. What is o?
17
Let p be ((-72)/(-34) - 2) + 2208/1173. Let u(l) be the first derivative of 2/5*l - 2/15*l**3 + 30 - 1/10*l**4 +