337/4 - 1/4*p**3 - 335/4*p**2 + 673/4*p.
-(p - 1)**2*(p + 337)/4
Let i(k) be the second derivative of 23*k**3/6 + 93*k**2 + 2*k + 11. Let j be i(-8). Find s such that -5/4*s**j - 5*s**4 - 25/4*s**3 + 0 + 0*s = 0.
-1, -1/4, 0
Let u(n) = n**2 - n - 1. Let m be (-1 - -3)/((-5)/(-315)*6). Let d(b) = 18 - 48*b + m + 15 + 12*b**2 + 38. Let g(j) = d(j) - 8*u(j). Factor g(f).
4*(f - 5)**2
Let l(u) = -u**5 - u**4 - u**2 + 1. Let f = 643 - 647. Let a(o) = o**5 - 24*o**4 - 5*o**3 + 16*o**2 + 4. Let w(z) = f*l(z) + a(z). Solve w(h) = 0.
-1, 0, 1, 4
Let b be 6 - -24*(-2 - (-15)/6). Factor -16*s**3 - 9*s**3 + b*s**2 - 85*s + 37*s**3 + 4*s - 13*s**3.
-s*(s - 9)**2
Let o(f) be the second derivative of 0 - 1/6*f**4 + 1/2*f**3 + 0*f**2 + 126*f - 1/20*f**5. Factor o(z).
-z*(z - 1)*(z + 3)
Let v(j) = 25*j**3 - 55789*j**2 - 38920471*j - 38864783. Let f(l) = 5*l**3 - 13947*l**2 - 9730118*l - 9716194. Let q(g) = -9*f(g) + 2*v(g). Factor q(d).
5*(d + 1)*(d + 1394)**2
Let c = 9625 + -6613. Let f be (14/(-8))/((-3)/c). Factor 5088*n**3 - 1275*n**4 - 2075*n**3 + 5265*n - 7830*n**2 + f*n**3 + 125*n**5 - 1215.
5*(n - 3)**3*(5*n - 3)**2
Factor -4*i**2 - 126*i - 738*i + 18*i**2 - 62208 - 17*i**2.
-3*(i + 144)**2
Let t be -16 - ((-6)/7)/((-712)/(-14329)). Determine y, given that 0 + 5/2*y + t*y**2 = 0.
-2, 0
Let c = 305 + -301. Let s be 5 + (-48)/(-4) + -15. Solve 2/7*b**3 - 2/7*b + 0 - 2/7*b**c + 2/7*b**s = 0.
-1, 0, 1
Let v(o) be the third derivative of -o**6/600 + 29*o**5/75 - 3077*o**4/120 + 11849*o**3/15 - 6384*o**2. Factor v(y).
-(y - 82)*(y - 17)**2/5
Let m(v) = -v**3 - 13*v**2 - 12*v + 1. Let c be m(-12). Let p(l) = l**3 - l**2 - 5*l + 5. Let r be p(c). Suppose r + 3/5*q**2 - 3/5*q = 0. Calculate q.
0, 1
Suppose -31 = -14*i - 3. Solve -i*j + j**3 - j - 6*j + 5*j = 0 for j.
-2, 0, 2
Let z(s) = -s**2 + 10*s + 9. Let c be z(8). Let q(w) be the first derivative of -7 + 1/3*w**3 + c*w - 5*w**2. Factor q(i).
(i - 5)**2
Solve -110*l - 594 - 972927*l**3 + 204*l**2 - 277*l + 972924*l**3 = 0 for l.
-1, 3, 66
Factor 182*t**3 + 62*t**4 + 2/3*t**5 + 542/3*t**2 + 60*t + 0.
2*t*(t + 1)**3*(t + 90)/3
Let b(d) = -51*d**2 - 78*d - 360. Let t(l) = 19*l**2 + 26*l + 120. Let s(r) = -3*b(r) - 8*t(r). Factor s(c).
(c + 6)*(c + 20)
Let z(i) be the second derivative of 1/2*i**3 + 1/8*i**4 + 39 - 3*i**2 + 2*i - 3/80*i**5. Factor z(w).
-3*(w - 2)**2*(w + 2)/4
Let i(v) be the third derivative of v**5/150 + 41*v**4/15 + 6724*v**3/15 + 34*v**2 - 4. Factor i(q).
2*(q + 82)**2/5
Let g be 24/(-1 + -7)*2/(-3). Let t(m) be the first derivative of 4/3*m**3 - 16 + 0*m - 8*m**g. Solve t(w) = 0.
0, 4
Suppose 4*w - 34*w = 2*w. Let z(s) be the third derivative of w*s + 0*s**5 - 1/120*s**6 + 1/140*s**7 + 0 + 0*s**4 + 14*s**2 + 0*s**3. Solve z(d) = 0.
0, 2/3
Let z(r) = r**2 + 44*r - 297. Let j be z(6). Let t(o) = -o**2 + 41*o + 4. Let i(c) = -c**2 + 42*c + 3. Let g(k) = j*t(k) - 4*i(k). Factor g(y).
y*(y - 45)
Let i(d) = 11*d**3 + 715*d**2 + 4*d + 262. Let b be i(-65). Factor -9/2*k**b + 24 + 3/4*k**3 + 0*k.
3*(k - 4)**2*(k + 2)/4
Factor 8891*l**3 + 3*l**5 - 356*l**3 + 4095*l**3 - 15*l**4 + 24192*l**2 + 11907*l + 399*l**4 + 36*l**3.
3*l*(l + 1)**2*(l + 63)**2
Let z(i) be the second derivative of 4 - i + 2/55*i**5 - 4/3*i**3 - 17/66*i**4 + 12/11*i**2. Find u such that z(u) = 0.
-2, 1/4, 6
Let y(f) be the third derivative of f**8/336 - f**7/35 + 11*f**5/30 + 5*f**4/8 - 171*f**2 - 8. Find n such that y(n) = 0.
-1, 0, 3, 5
Let h(j) be the second derivative of -j**4/150 - j**3/25 - 2*j**2/25 + 50*j. Factor h(w).
-2*(w + 1)*(w + 2)/25
Let q be ((-3)/(-12))/(((-17)/32)/(-27 + 1498/56)). Factor 8/17*m + 0 + 6/17*m**2 - q*m**3.
-2*m*(m - 4)*(m + 1)/17
Let b be (-8)/(-30) - 1/(-3). Let t(o) = -3*o**3 + 12*o**2 + 236*o - 245. Let r be t(1). Solve r*c - 3/5*c**4 + 2/5*c**5 + 0 - b*c**3 + 2/5*c**2 = 0 for c.
-1, 0, 1/2, 2
Let f(l) be the second derivative of 27*l**5/20 - 23*l**4/4 + 3*l**3 + 12*l**2 - 33*l - 12. Factor f(c).
3*(c - 2)*(c - 1)*(9*c + 4)
Suppose l - 17 + 58 = 0. Let j = l + 45. Factor -2 + 3*r**j + 4*r**4 - r**4 + 16*r**3 + 12*r**2.
2*(r + 1)**3*(3*r - 1)
Let m(n) be the third derivative of -n**6/40 + 49*n**5/20 - 23*n**4/4 - 48*n**3 + 1452*n**2. Factor m(k).
-3*(k - 48)*(k - 2)*(k + 1)
Let h(l) be the second derivative of l**6/360 - l**5/60 - 3*l**3 - l**2/2 + 12*l - 4. Let o(q) be the second derivative of h(q). Suppose o(j) = 0. Calculate j.
0, 2
Suppose 24097*h**4 - 24102*h**4 + 52*h**2 - 12*h**2 - 80 = 0. Calculate h.
-2, 2
Let a be (-4)/(9/1512*-2). Factor -51*c**3 + 15*c**3 + 340*c**4 - a*c**4 + 36*c - 4*c**2.
4*c*(c - 9)*(c - 1)*(c + 1)
Let f be ((-1170)/338)/15 - (-207)/52. Factor 0 - f*a - 3/4*a**2.
-3*a*(a + 5)/4
Let r(p) be the first derivative of -9/10*p**2 - p**3 + 25 + 0*p - 1/25*p**5 - 7/20*p**4. Determine h so that r(h) = 0.
-3, -1, 0
Let m(i) be the first derivative of 5*i**4/4 + 95*i**3/3 + 300*i**2 + 1260*i - 899. Factor m(s).
5*(s + 6)**2*(s + 7)
Suppose -29*u - 24*u + 72 + 193 = 0. Let g(z) be the third derivative of 8*z**2 + 0*z**4 + 1/30*z**6 + 0*z**u - 2/105*z**7 + 0*z + 0*z**3 + 0. Factor g(p).
-4*p**3*(p - 1)
Let r(q) be the second derivative of q**4/4 - 79*q**3/2 - 120*q**2 - 2*q + 3704. Let r(i) = 0. Calculate i.
-1, 80
Let j = -876876 - -876876. Find r such that -1/2*r**2 + 0 + 3/4*r**3 - 1/4*r**4 + j*r = 0.
0, 1, 2
Let -743932 - 4/7*q**2 - 1304*q = 0. What is q?
-1141
Let f(i) be the first derivative of -5*i**3/3 + 15*i**2 + 382. Factor f(v).
-5*v*(v - 6)
Let b be ((-4)/(-3) + -3)/((-1)/36*(-4290)/(-286)). Factor -100/7*g**3 + 1352/7 + 1146/7*g**2 + 2/7*g**b + 2600/7*g.
2*(g - 26)**2*(g + 1)**2/7
Let x = 3337 + -3335. Let s(t) be the first derivative of 3 + 80/3*t**x + 28/9*t**3 - 49/3*t**4 - 64/3*t. Suppose s(y) = 0. What is y?
-1, 4/7
Let l(k) be the first derivative of -2*k**3/39 - 165*k**2/13 - 1288*k/13 + 1266. Determine j so that l(j) = 0.
-161, -4
Factor 334*t - 10865 + 5660 + 5905 - 8*t**2.
-2*(t + 2)*(4*t - 175)
Let w be (476/(-153))/((-3)/54*4). Let b be (-4)/w - 345/(-105). Factor 2/19*t**b + 24/19*t + 12/19*t**2 + 16/19.
2*(t + 2)**3/19
Let t be (5 - -2)*((-8355)/2835 + 8 - 5). Let i(x) be the second derivative of 4/3*x**2 - 40*x - 1/27*x**4 + 0 - t*x**3. Factor i(v).
-4*(v - 1)*(v + 6)/9
Let m = 205 + -229. Let y be ((-10)/m)/((-35)/(-56)). Solve -y*d**2 + 2/3*d**3 + 0 + 0*d = 0.
0, 1
Let s(l) = -17*l**2 + 22094*l + 6248. Let n(x) = 84*x**2 - 110472*x - 31224. Let m(v) = -4*n(v) - 21*s(v). Factor m(u).
3*(u - 1052)*(7*u + 2)
Let r(n) be the second derivative of n**6/180 - n**5/20 - n**4/6 + 19*n**3/18 - 7*n**2/4 + 324*n + 3. Factor r(j).
(j - 7)*(j - 1)**2*(j + 3)/6
Let j be 17/(-36)*(5 + -15) + (-122)/549. Let y(t) be the first derivative of -2*t**3 - 4*t - j*t**2 - 1/4*t**4 + 9. Find o, given that y(o) = 0.
-4, -1
Suppose 0 = 203*t - 447 + 41. Find j, given that 8/3*j**3 + 4/3*j**2 - t*j - 2/3*j**5 + 0 - 4/3*j**4 = 0.
-3, -1, 0, 1
Let s(k) be the second derivative of 2/7*k**3 + 0*k**4 + 0 - 1/35*k**5 - 142*k + 4/7*k**2. What is t in s(t) = 0?
-1, 2
Let g(c) be the first derivative of -2*c**3/27 - 41*c**2/9 + 28*c/3 + 457. Factor g(b).
-2*(b - 1)*(b + 42)/9
Suppose -1 - 71 = -3*j. Suppose 5*s = u - 0*u - 29, -u + j = -4*s. What is c in 2*c**u - c**3 + 2*c**4 - 2*c**3 + 5*c**4 = 0?
0, 1/3
Suppose -2*b = 4*m - 1684, -2*m + 1281 = m - 3*b. Let u = -420 + m. Find q, given that 0*q - 5/2*q**5 + 5/2*q**u + 0 + 5/2*q**2 - 5/2*q**4 = 0.
-1, 0, 1
Suppose 0 = 3*f + 12, 5*f = 5*m - 4 - 56. Suppose 5*p = 2 + m. Factor -15 - 33*l**4 + 26 - 243*l - 92 - 3*l**5 - 270*l**p - 173*l**3 + 35*l**3.
-3*(l + 1)**2*(l + 3)**3
Let a(g) be the second derivative of -g**6/600 + 3*g**5/50 - g**4/2 + 3*g**3 - g**2/2 + 86*g. Let k(v) be the second derivative of a(v). Factor k(i).
-3*(i - 10)*(i - 2)/5
Let 96 + 7*u**3 + 36*u**2 + 16*u**3 + 209*u - 105*u - 19*u**3 = 0. Calculate u.
-4, -3, -2
Let f(v) be the third derivative of -v**8/1680 + v**7/70 + 17*v**6/300 + v**5/150 - 11*v**4/40 - 17*v**3/30 + 37*v**2 - 2*v + 1. Let f(y) = 0. Calculate y.
-1, 1, 17
Let z(p) = -11*p - 9. Let n be z(-1). What is d in 4669 - n*d + 2*d**2 - 4669 = 0?
0, 1
Let q(r) be the second derivative of 0*r**3 + 0*r**2 + 1/126*r**7 - 200*r + 1/4*r**4 + 1/4*r**5 + 7/90*r**6 + 0. Suppose q(l) = 0. Calculate l.
-3, -1,