2*w. Let d = 8 - -1. Let c(i) = 3*i**3 + 18*i**2 - 18*i - 3. Let y(l) = d*r(l) + 4*c(l). Factor y(t).
3*(t - 1)**3
Suppose 18 = -5*z + 8*z. Let u be (64/24)/(4/z). Find a such that 5*a**2 + 0*a**4 + 7*a**2 - 5*a**u + 8*a**2 = 0.
-2, 0, 2
Suppose 5*l + 5*n = 10, -n - 11 + 7 = -l. Factor -1764*c**3 + 3*c**2 + 5*c**2 - 2*c**2 - 2*c**4 + 1768*c**l.
-2*c**2*(c - 3)*(c + 1)
Let v(h) be the third derivative of h**5/12 - 15*h**4/8 - 55*h**3/3 - 575*h**2. Factor v(r).
5*(r - 11)*(r + 2)
Let u(q) be the second derivative of -3*q**5/140 + 6*q**4 - 333*q**3/14 + 249*q**2/7 + 67*q + 4. Factor u(o).
-3*(o - 166)*(o - 1)**2/7
Let r be 10/((-20)/(3200/(-6))). Let s = -264 + r. Find g such that -4/3*g**2 - s*g + 4/3*g**3 + 0 = 0.
-1, 0, 2
Let u = -654658/7 + 93526. Let p = -189 + 1332/7. Determine w so that -u*w + p - 9/7*w**2 = 0.
-3, 1/3
Let g = -288 - -291. Solve -c**3 + 1051*c - 2*c**g - 1039*c - 36 + 9*c**2 = 0.
-2, 2, 3
Let q be 4/36 + 2/5 + (-1482)/17955. Factor 48/7*c - q*c**2 + 108/7.
-3*(c - 18)*(c + 2)/7
Factor -3150 - 184*h**2 + 504*h**2 - 1769*h - 5*h**3 - 414*h - 1977*h + 18510.
-5*(h - 48)*(h - 8)**2
Let d(k) be the third derivative of -k**5/180 - k**4/3 + 266*k**3/9 - 5182*k**2. Factor d(u).
-(u - 14)*(u + 38)/3
Let t(z) be the third derivative of 1/140*z**5 + 0*z**3 + 0*z - 11/56*z**4 + 0 + 46*z**2. Factor t(q).
3*q*(q - 11)/7
Let j = -42557/205 + 8536/41. Solve -3 + 33/5*t + j*t**3 - 21/5*t**2 = 0.
1, 5
Factor 2/5*b**2 - 96/5 + 26/5*b.
2*(b - 3)*(b + 16)/5
Let q(t) be the first derivative of 0*t - 1/3*t**3 - 42 + t**2 - 1/4*t**4. Let q(u) = 0. What is u?
-2, 0, 1
Let d = 32 + -30. Let m(v) = -228*v**4 - 19*v**d + 2*v - v - v**3 + 229*v**4. Let j(o) = o**4 - o**3 - 9*o**2 + o. Let c(y) = 9*j(y) - 4*m(y). Factor c(k).
5*k*(k - 1)**2*(k + 1)
Let i be 26/143 + (-20)/(-11). Suppose 384 = 3*f - i*n, -139 = -4*f + 3*f - 3*n. Suppose f*k**4 - 384*k**4 - 60*k**2 + 4*k + 300*k**3 - 246*k**4 = 0. What is k?
0, 1/5
Suppose 13*r = -3 + 42. Factor 2*o - o**2 + 12*o**3 - 8*o**2 - 2*o**5 + 2*o**r + 4*o**5 - 9*o**4.
o*(o - 2)*(o - 1)**2*(2*o - 1)
Let i(p) be the third derivative of -p**6/360 + p**5/6 - 3*p**4/2 + 19*p**3/6 - 2*p**2 - 47. Let u(v) be the first derivative of i(v). Factor u(w).
-(w - 18)*(w - 2)
Factor 32*y + 90*y + 43*y - 131 + 42*y + 5 + 5*y**2.
(y + 42)*(5*y - 3)
Let -1/5*m**2 + 896/5 - 8*m = 0. What is m?
-56, 16
Let g be (2 + 0)/(-15 + 186/12). Let m = -1/131 + 133/262. Factor -m*k**2 + 1/4*k**3 - 1/4*k + 1/2*k**g + 0.
k*(k - 1)*(k + 1)*(2*k + 1)/4
Let f(i) be the third derivative of 1/40*i**4 - 17*i**2 + 2/15*i**3 + 0 - 1/300*i**5 - 3*i. Factor f(l).
-(l - 4)*(l + 1)/5
Let w be ((6/(-24))/1)/(2 - (-21)/(-9)). Let o(j) be the first derivative of 0*j**3 + 0*j**2 - 3/5*j**5 + 0*j + 14 + w*j**4. Factor o(c).
-3*c**3*(c - 1)
Let i(m) = -8*m**2 + 80*m - 404. Suppose -2*n + 0*n - 2 = 0, -8 = v + 4*n. Let p(h) = -23*h**2 + 240*h - 1211. Let a(f) = v*p(f) + 11*i(f). Factor a(c).
4*(c - 10)**2
Let c be 5*(-2)/(-10 - (-165)/(-22)). Determine m, given that 0*m**2 - 2/7*m**4 + 2/7 + c*m - 4/7*m**3 = 0.
-1, 1
Let p(s) be the first derivative of -s**3 - 133*s**2/2 + 93*s + 158. Let y be p(-45). What is g in 2/3*g**2 - 4/3*g + 0 + 4/3*g**y - 2/3*g**4 = 0?
-1, 0, 1, 2
Let g(t) = -32*t**2 + 42*t**2 + 14*t - 8 + 16. Let j(n) = -14*n**2 - 15*n - 7. Let q(l) = -6*g(l) - 4*j(l). What is c in q(c) = 0?
-5, -1
Let t(h) be the third derivative of h**8/168 + 2*h**7/21 - 2*h**6/5 + h**5/15 + 23*h**4/12 - 4*h**3 + 839*h**2. Find g such that t(g) = 0.
-12, -1, 1
Let g(p) = -p**5 + 16*p**4 + 11*p**3 - 110*p**2 - 110*p. Let u(s) = s**5 - 20*s**4 - 12*s**3 + 111*s**2 + 111*s. Let j(t) = -3*g(t) - 2*u(t). Factor j(v).
v*(v - 6)**2*(v + 1)*(v + 3)
Let 2414*u + 330 + 2*u**2 - 6*u**2 - u**2 - 2439*u = 0. Calculate u.
-11, 6
Find j, given that 5*j**4 - 38*j**2 + 30*j + 0 - 1/2*j**5 + 7/2*j**3 = 0.
-3, 0, 1, 2, 10
Let y = 196 - 182. Suppose 13*p + y = 20*p. Let -2/3*r - 2/3 - 1/6*r**p = 0. What is r?
-2
Suppose 7*k - 376 - 324 = 0. Factor 49*o**5 - k*o**4 - 222*o**4 - 276*o**2 + 47*o**3 + 566*o**3 + 36*o.
o*(o - 3)**2*(7*o - 2)**2
Let z be ((-4)/(-6))/(9/810). Solve -235*p**3 + z*p**5 - 58*p**2 + 19*p**2 - 6*p + 39*p**4 + 181*p**3 = 0.
-1, -2/5, -1/4, 0, 1
Let r(t) = -t**3 + 6*t**2 - t - 1. Let k be r(6). Let f be 4/8 + k/70. Factor -2/5*w + 6/5 + f*w**3 - 6/5*w**2.
2*(w - 3)*(w - 1)*(w + 1)/5
Solve 5*l**4 - 55*l + 127*l**3 - 50 + 162*l**3 + 21*l**2 - 234*l**3 + 24*l**2 = 0.
-10, -1, 1
Let w(u) = u**2 - 2*u - 1. Let d(c) be the first derivative of -6*c**3 + 134*c**2 + 110*c + 109. Let v(m) = d(m) - 2*w(m). Factor v(i).
-4*(i - 14)*(5*i + 2)
Factor 0*l + 1/6*l**2 - 3/2*l**4 + 5/6*l**5 + 1/2*l**3 + 0.
l**2*(l - 1)**2*(5*l + 1)/6
Let u be (8/(-44) + 40/(-22))*-2. Let s(w) = 9*w**2 - 32*w + 72. Let g(p) = -3*p**2 + 10*p - 24. Let v(r) = u*s(r) + 11*g(r). Factor v(b).
3*(b - 4)*(b - 2)
Suppose -5*x + 3*o = -17, -4 + 0 = o. Suppose 0 = l - 4 - x. Factor -97*t**3 + 61*t**3 - 15*t**2 - 5*t**4 + l*t + 51*t**3.
-5*t*(t - 1)**3
Let l = 146178 - 1315600/9. Factor -1/3*j**3 + 1/3*j + 2/9 - l*j**2.
-(j - 1)*(j + 1)*(3*j + 2)/9
Suppose -a = -2 - 2. Let q be 6/16 + ((-650)/16)/(-1). Factor -10*w**2 - 41*w + q*w + 35*w**3 - 25*w**a.
-5*w**2*(w - 1)*(5*w - 2)
Let y(d) = -2*d**3 - 31*d**2 - 2*d + 47. Let t be y(-14). Let z = t + 2061/4. Factor -z*r**3 - 3*r**2 - 3/4*r + 0.
-3*r*(r + 1)*(3*r + 1)/4
Let h(t) be the third derivative of -t**7/350 + 9*t**6/100 - 12*t**5/25 + 23*t**4/20 - 3*t**3/2 - 2201*t**2. Let h(r) = 0. What is r?
1, 15
Let j be 45/30 - (-2)/12. Let w(x) be the first derivative of 0*x - j*x**3 + 15/2*x**2 + 5. Factor w(b).
-5*b*(b - 3)
Let y = -5639/5 - -1128. Let z(c) be the second derivative of -25/12*c**3 + y*c**6 + 0*c**2 - 1/84*c**7 + 5/2*c**4 - 23/20*c**5 + 3*c + 0. Factor z(n).
-n*(n - 5)**2*(n - 1)**2/2
Determine z so that -4*z**2 + 16/3 - 7/3*z**3 + 4/3*z - 1/3*z**4 = 0.
-4, -2, 1
Factor 35/2*j**2 - 10*j - 90.
5*(j + 2)*(7*j - 18)/2
Let d(k) = k**2 + 6*k + 1. Let r be d(-5). Let f be ((-12)/(-10))/(r*(-2)/60). Factor 80*o + 19 - 4*o**2 + f - 56*o.
-4*(o - 7)*(o + 1)
Determine u so that 48/5*u**3 + 336/5 + 552/5*u + 3/5*u**4 + 261/5*u**2 = 0.
-7, -4, -1
Let w(j) = 3*j**5 - 30*j**4 + 39*j**3 + 390*j**2 + 564*j + 246. Let v(b) = -b**5 - b**3 - b**2 - 1. Let d(m) = 6*v(m) + w(m). What is u in d(u) = 0?
-10, -2, -1, 4
Let d(o) = 7582*o - 22746. Let z be d(3). Solve -2/3*q**3 + 0 + z*q**2 + 8/3*q = 0 for q.
-2, 0, 2
Suppose -4*a - 3*h + 119 = -0*a, 5*a = 3*h + 142. Factor -18 + 20*x - 34*x**2 + a*x**2 + 9 - 6.
-5*(x - 3)*(x - 1)
Let h(w) = -w**2 + 1. Let o(a) = 31 + 2*a - 3*a**3 + a**2 + 4*a**3 - 68 + 39. Let s = 4 - 7. Let c(t) = s*o(t) + 6*h(t). Factor c(l).
-3*l*(l + 1)*(l + 2)
Let d(f) = 13691*f - 27382. Let v be d(2). Factor 0*p**3 + 0*p + v + 2/9*p**2 - 2/3*p**4 + 4/9*p**5.
2*p**2*(p - 1)**2*(2*p + 1)/9
Let p(f) = -f**2 + 9*f + 25. Let t = -5 + 16. Let x be p(t). Suppose -2*a**2 - 11*a**4 + 10*a**4 + x*a**2 = 0. Calculate a.
-1, 0, 1
Suppose -14*n**2 + 5*n**3 - 36/5 - 111/5*n = 0. Calculate n.
-3/5, 4
Let h(q) be the third derivative of -q**5/40 + 35*q**4/24 + 4*q**3 - 309*q**2 + 1. Solve h(t) = 0.
-2/3, 24
Let x(l) be the first derivative of l**6/6 + 4*l**5 + 119*l**4/4 + 304*l**3/3 + 174*l**2 + 144*l - 3118. Let x(d) = 0. What is d?
-12, -3, -2, -1
Let l(j) be the first derivative of 192 + 11/4*j**2 + 7/10*j**5 + 3*j + 9/8*j**4 - 11/2*j**3. Let l(a) = 0. Calculate a.
-3, -2/7, 1
Let i = 1128 - 1026. Factor 91*c**2 - 216 - 24*c**2 - 34*c**2 - i*c - 30*c**2.
3*(c - 36)*(c + 2)
Let 22*j**3 + 12*j**4 - 56*j**3 + 9*j**5 + 28*j**3 - 2*j**2 + 7*j**3 = 0. Calculate j.
-1, -2/3, 0, 1/3
Let c(b) be the third derivative of -1/12*b**4 + 0*b**3 - 27 + 1/480*b**6 - 2*b**2 + 3/140*b**7 + 0*b - 3/40*b**5 + 1/192*b**8. Suppose c(u) = 0. Calculate u.
-2, -1, -4/7, 0, 1
Let f(p) = -p**3 - 20*p**2 + 45*p + 25. Let q be f(-22). Factor -9 + 36 + b**q - 41 - 12*b**2 - 27*b.
(b - 14)*(b + 1)**2
Find m, given that 4/5 - 118/15*m + 38/15*m**2 = 0.
2/19, 3
Let f(m) be the first derivative of -1/12*m**3 - m - 5/8*m**2 + 54. Factor f(t).
-(t + 1)*(t + 4)/4
Let o be 5 + 9233/(-840) + 6 + (-1 - -1). Let q(r) be the third derivative of 1/6*r**3 + 1/16*r**4 + 12*r**2 + o*r**5 + 0*r + 0. Solve q(j)