p**3 + 3*p**2 + 2*p + 5. Let l be (1/1 - 0)*(20 - 24). Let i(x) = -3*x**3 + 2*x**2 + x + 4. Let y(u) = l*w(u) + 5*i(u). Factor y(v).
v*(v - 3)*(v + 1)
Factor 2/5*x**2 - 1104/5 + 548/5*x.
2*(x - 2)*(x + 276)/5
Let h(v) be the first derivative of -1/30*v**6 + 106/15*v**3 - 133/10*v**2 - 1/2*v**4 + 49/5*v - 11/25*v**5 + 152. Factor h(z).
-(z - 1)**3*(z + 7)**2/5
Let t(p) be the third derivative of -p**8/84 - 2*p**7/21 + p**6/10 + 41*p**5/15 + 29*p**4/3 + 16*p**3 + 8*p**2 - 209. Determine r so that t(r) = 0.
-4, -2, -1, 3
Let k = -409 + 411. Let s = 0 - -3. Factor 24*m + 22*m**2 + 12*m**s + k*m**4 - 3*m**4 + 4*m**2 + 8 + 3*m**4.
2*(m + 1)**2*(m + 2)**2
Let i = 3825 - 382497/100. Let d(u) be the second derivative of 31*u + 0*u**2 - i*u**5 - 1/10*u**4 - 1/10*u**3 + 0. What is y in d(y) = 0?
-1, 0
Suppose -34*b = -36*b + 12. Let o be ((-12)/b)/(-1)*(0 - -1). Find u such that 3 + 0*u - 8 - 2*u + 2 + 2*u**3 + 3*u**o = 0.
-3/2, -1, 1
Let j(m) be the second derivative of 0*m**2 + 5*m**4 + 268*m + 8/5*m**5 + 0 + 0*m**3. Solve j(v) = 0.
-15/8, 0
Let r be (-48 - 3)*8/(-12). Find z such that 62*z**2 - r*z**3 - 8*z - 22*z + 0*z + 2*z**4 = 0.
0, 1, 15
Let k(d) be the first derivative of -1/270*d**5 + 17/2*d**2 - 16 - 2/27*d**3 + 0*d - 1/36*d**4. Let w(x) be the second derivative of k(x). Factor w(i).
-2*(i + 1)*(i + 2)/9
Let n(j) be the first derivative of -j**6/24 - 37*j**5/20 + 223*j**4/8 - 553*j**3/6 + 1027*j**2/8 - 329*j/4 + 9074. Find u such that n(u) = 0.
-47, 1, 7
Factor -2/3*w**3 + 36*w**2 + 0 + 110/3*w.
-2*w*(w - 55)*(w + 1)/3
What is z in 5/6*z**5 + 0 - 5/3*z**3 + 10/3*z**4 - 10*z**2 + 15/2*z = 0?
-3, 0, 1
Let v(h) = 23*h**4 - 376*h**3 + 1770*h**2 + 4672*h + 2543. Let z(w) = -15*w**4 + 250*w**3 - 1180*w**2 - 3115*w - 1695. Let f(j) = 5*v(j) + 8*z(j). Factor f(u).
-5*(u - 13)**2*(u + 1)**2
Let d(u) = -35*u**2 - 45*u - 40. Suppose 0 = -i - 4*y + 30, 0*i - 2*i + 60 = -5*y. Let k(t) = 1 - t**2 + t**2 + t**2 + t. Let a(c) = i*k(c) + d(c). Factor a(x).
-5*(x + 1)*(x + 2)
Let n(j) be the second derivative of j**5/5 - 3*j**4 - 8*j**3 + 320*j**2 - 1380*j. Factor n(v).
4*(v - 8)*(v - 5)*(v + 4)
Factor 3665*i**2 + 337406 + 165456*i + 332374 - 5*i**3 - 838896*i.
-5*(i - 366)**2*(i - 1)
Let n(r) = 45*r**2 + 2245*r - 295. Let x(v) = v**2 - 6*v - 2. Let s(d) = n(d) - 5*x(d). Suppose s(t) = 0. Calculate t.
-57, 1/8
Let q be (1/(-3))/(984555/(-70320) + 14). Let b = -312 + q. Factor -2/15*i**4 + b*i + 2/3*i**3 - 16/15*i**2 + 0.
-2*i*(i - 2)**2*(i - 1)/15
Let w(d) be the third derivative of -d**6/120 - 31*d**5/15 - 595*d**4/24 + 61*d**2 + 25*d. Factor w(z).
-z*(z + 5)*(z + 119)
Let j be 2 - (2/(-28) - (-174)/147*748111/(-26)). Factor 219501*w + 243/4*w**4 + 2121843/4 + j*w**2 + 2349*w**3.
3*(3*w + 29)**4/4
Suppose -4*a - 6*w = -10*w + 4, 3*a - 3 = w. Let j be (a/20*-46 - -1) + 4. Factor -c**3 - 7/5*c - 9/5*c**2 - 1/5*c**4 - j.
-(c + 1)**3*(c + 2)/5
Suppose -4*n - 122*o = -118*o - 40, -54 = -4*n + 3*o. Solve -89 + 33 + 34 - 113 + 97*i + 74*i + n*i**2 = 0.
-15, 3/4
Let k(w) be the third derivative of 4/35*w**5 - 193*w**2 - 9/280*w**6 + 0*w + 0 - 1/7*w**3 - 5/56*w**4. Find s, given that k(s) = 0.
-2/9, 1
Suppose 4*c + 4*q - 24 = 0, 99*c - 12 = 102*c - 2*q. Let a(b) be the first derivative of b**2 + c*b - 1/2*b**4 + 2/9*b**3 + 6 - 2/15*b**5. Factor a(k).
-2*k*(k - 1)*(k + 1)*(k + 3)/3
Factor 20/3*h + 0 - 20/3*h**3 + 4/3*h**2 - 4/3*h**4.
-4*h*(h - 1)*(h + 1)*(h + 5)/3
Let s be 22/(((-12)/12)/(1/(-1))). Let j = s - 21. Factor z**4 - j - 3*z**3 - 48*z + z**3 + 50*z.
(z - 1)**3*(z + 1)
Let r be ((-708)/(-13986) - -1) + (-4)/(-14). Let v = -33/37 + r. What is n in -2/9*n**3 + 2/3*n**5 + 0 + 10/9*n**2 - v*n - 10/9*n**4 = 0?
-1, 0, 2/3, 1
Factor -69/5*v**2 - 3/5*v**3 - 168/5*v + 588.
-3*(v - 5)*(v + 14)**2/5
Let k(h) be the second derivative of h**8/20160 - h**6/240 + 67*h**4/12 - 177*h. Let r(p) be the third derivative of k(p). Factor r(x).
x*(x - 3)*(x + 3)/3
Let r(q) be the first derivative of 3*q**5/20 + 17*q**4/2 + 126*q**3 - 972*q**2 + 81*q + 290. Let g(s) be the first derivative of r(s). Factor g(w).
3*(w - 2)*(w + 18)**2
Suppose -3*t - 60 = -96. Determine c so that t*c - 5*c + 5*c - 3*c**2 - 6*c = 0.
0, 2
Let g(r) = 788*r + 3942. Let w be g(-5). Let i(n) be the second derivative of 0 + 25*n - 1/6*n**4 + 5/3*n**3 - 4*n**w. Let i(p) = 0. Calculate p.
1, 4
Let a(y) be the third derivative of 0*y - 13/6*y**4 - 8/3*y**5 - 199*y**2 - 2/3*y**3 + 0. Find f, given that a(f) = 0.
-1/5, -1/8
Let s(k) = 1056*k - 1054. Let q be s(1). Let u(w) be the first derivative of 0*w - 17 - 1/14*w**4 + 8/21*w**3 - 4/7*w**q. Determine d so that u(d) = 0.
0, 2
Let y(d) be the first derivative of -d**3 - 22*d**2 + 404*d + 57. Let x(k) = -2*k**2 - 43*k + 403. Let j(f) = -4*x(f) + 3*y(f). Let j(p) = 0. Calculate p.
20
Let d(l) be the third derivative of 67/240*l**5 + 363/8*l**3 + 385/32*l**4 + 0*l + 128*l**2 + 0 + 1/480*l**6. Let d(g) = 0. What is g?
-33, -1
Let j(o) be the first derivative of -o**6/30 - 14*o**5/25 - 49*o**4/20 + 16*o**3/15 + 88*o**2/5 - 128*o/5 + 1284. Let j(h) = 0. Calculate h.
-8, -4, 1
Let b = 40733 + -40679. Determine r so that 34/3*r**2 - b - 2/3*r**3 - 42*r = 0.
-1, 9
Factor 164/15*v + 208/15 - 2/15*v**3 - 46/15*v**2.
-2*(v - 4)*(v + 1)*(v + 26)/15
Let j be 5/3 + 60/(-36). Let x(r) be the first derivative of j*r**2 + 11 + 0*r**3 - 3/8*r**4 + 0*r - 3/10*r**5. Factor x(c).
-3*c**3*(c + 1)/2
Let n be (((-23)/(-322))/(3/18))/(9/42). Factor 4/3*d**n + 2/3*d**3 - 16/3 - 8/3*d.
2*(d - 2)*(d + 2)**2/3
Let b(u) = u**3 + 8*u**2 + 9*u + 17. Suppose 22*y - 21 = 25*y. Let a be b(y). Find x, given that x**a - 7*x**4 + 139*x**2 - 3*x**3 - 132*x**2 + 2*x = 0.
-1, -2/7, 0, 1
Let d = -49 + 49. Suppose -4*t + k + 16 = d, -8*k + 7*k - 13 = -3*t. Factor -8/5 + 14/5*p**t + 26/5*p - 2/5*p**4 - 6*p**2.
-2*(p - 4)*(p - 1)**3/5
Find a such that -5*a**2 - 185468 - 320427 + 141395 + 2700*a = 0.
270
Let k(c) = -2*c - 4. Let r be k(-1). Let j be r/(-10) - (-238)/10. Factor -2*h**4 - h - j*h**2 - 8*h**4 - 15*h**3 - 11*h + 7*h**4.
-3*h*(h + 1)*(h + 2)**2
Let s(n) = 11*n**2 + 175*n - 234. Let a(p) = 21*p**2 + 350*p - 459. Let k(m) = 6*a(m) - 11*s(m). Determine g, given that k(g) = 0.
-36, 1
Let u(m) be the second derivative of 32/9*m**3 + 4/45*m**6 + 64/3*m**2 - 16/9*m**4 + 2/63*m**7 - 2*m - 8/15*m**5 - 12. Determine j, given that u(j) = 0.
-2, 2
Let d = 65253 - 65251. Factor 9/2*r**d - 5/2*r + 0 - 3/2*r**3 - 1/2*r**4.
-r*(r - 1)**2*(r + 5)/2
Let z = -2478279/7 - -354041. Find h such that 8/7*h - z*h**2 + 0 - 2/7*h**3 + 2/7*h**4 = 0.
-2, 0, 1, 2
Let y(b) be the first derivative of 4*b**6/5 - 2*b**5 - 79*b**4/10 - 20*b**3/3 - 8*b**2/5 + 509. Let y(w) = 0. What is w?
-1, -2/3, -1/4, 0, 4
Let m(r) be the second derivative of r**7/126 + 19*r**6/90 - 7*r**5/20 - 19*r**4/36 + 10*r**3/9 - 9*r - 106. Let m(g) = 0. What is g?
-20, -1, 0, 1
Suppose h = -4*i + 98, -4*h - 2*i + 292 + 58 = 0. Factor -h*s**4 + 2*s**3 + 82*s**4 + 21*s**5 - 19*s**5.
2*s**3*(s - 1)**2
Let y(u) be the first derivative of u**7/14 - 4*u**6/5 + 39*u**5/20 - 3*u**4/2 + 110*u + 10. Let f(v) be the first derivative of y(v). Factor f(h).
3*h**2*(h - 6)*(h - 1)**2
Let i(c) be the third derivative of 3*c**6/40 - 217*c**5/10 + 1980*c**4 - 5184*c**3 - 769*c**2. Factor i(m).
3*(m - 72)**2*(3*m - 2)
Let v(o) = o**2 - o - 3. Let q = 58 + -55. Let u be v(q). Find p such that -4*p - 34*p**2 + 32*p**2 + u*p**3 - p**3 = 0.
-1, 0, 2
Suppose 10*s + 10 = -10. Let y be ((1 + -2)/3)/s. Determine h so that -1/6*h**4 + 1/6*h - y*h**3 + 1/6*h**2 + 0 = 0.
-1, 0, 1
Let b(k) = -70319*k - 632781. Let y be b(-9). Factor y - 5/2*h**2 - 40*h.
-5*(h - 2)*(h + 18)/2
Let n(q) be the second derivative of 3*q**5/20 + 83*q**4/2 - 173*q**3/2 - 1503*q**2 - 156*q. Factor n(l).
3*(l - 3)*(l + 2)*(l + 167)
Determine a so that 12*a**3 + 2508/7*a + 774/7*a**2 + 1815/7 + 3/7*a**4 = 0.
-11, -5, -1
Let f(k) be the third derivative of 5*k**8/336 + 11*k**7/42 + 23*k**6/24 - 47*k**5/12 - 5*k**4 + 30*k**3 - 2*k**2 - 7*k. Suppose f(y) = 0. What is y?
-6, -1, 1
Let w(u) be the first derivative of -u**3/12 + 788. Factor w(k).
-k**2/4
Let j(k) be the third derivative of k**5/80 - 13*k**4/32 + 11*k**3/4 + 161*k**2 + 9*k + 1. Solve j(t) = 0 for t.
2, 11
Let b(k) be the first derivative of 2*k**5/