
3*r**3*(r + 2)
Let y = 88436 + -107626601/1217. Let x = 317549/9736 + y. Determine p, given that -12*p**2 - 3/2*p - 105/8*p**5 + 0 - x*p**3 - 141/4*p**4 = 0.
-1, -2/5, -2/7, 0
Let g(v) be the first derivative of v**4/14 + 566*v**3/7 + 240267*v**2/7 + 45330374*v/7 + 713. Factor g(h).
2*(h + 283)**3/7
Let k(i) be the third derivative of -i**7/630 - i**6/30 - 17*i**5/90 + i**4/6 + 35*i**3/18 - 63*i**2 + i. Find n such that k(n) = 0.
-7, -5, -1, 1
Let a(y) = 20*y - 634. Let n be a(32). Let f(s) be the second derivative of 1/4*s**4 + 0 - 18*s - 3/20*s**5 + 2*s**3 - n*s**2. What is z in f(z) = 0?
-2, 1, 2
Let u(g) = -9*g - 198. Let s(j) = -4*j**2 + 5*j - 1. Let o be s(3). Let x be u(o). Factor 85/6*d**4 - 25/2*d**5 + x*d + 2/3*d**2 + 0 - 16/3*d**3.
-d**2*(3*d - 1)*(5*d - 2)**2/6
Let u = 126298/5 + -25258. Let b(w) be the first derivative of 42 - 7/10*w**2 + u*w - 1/15*w**3. Determine s so that b(s) = 0.
-8, 1
Let t be 2/(-10)*275/66 - -1. Let x(l) be the first derivative of -19/12*l**2 + 7/3*l - t*l**3 + 5. Suppose x(r) = 0. What is r?
-7, 2/3
Factor -27/5*o - 1/10*o**3 + 3/2*o**2 + 4.
-(o - 10)*(o - 4)*(o - 1)/10
Let n(c) be the first derivative of 0*c + 35/24*c**4 - 1/3*c**5 + 1/72*c**6 + 0*c**2 - 23 - 11*c**3. Let i(p) be the third derivative of n(p). Factor i(r).
5*(r - 7)*(r - 1)
Factor 2016*k + 0 + 14786/7*k**3 - 340/7*k**4 - 4080*k**2 + 2/7*k**5.
2*k*(k - 84)**2*(k - 1)**2/7
Let w = 514 + -504. Determine b, given that 11*b**3 - 20*b**3 + 9*b**2 - b**4 + 5*b**3 + 4*b + 2*b**4 + w*b**3 = 0.
-4, -1, 0
Let d = 2813 + -1254. Find p, given that -31*p**2 - 36*p - d*p**5 + 1556*p**5 + 21*p**3 + 6*p**4 + 7*p**2 = 0.
-2, -1, 0, 2, 3
Let d = 166 - 161. Suppose n = d*n. Determine i, given that 0 + n*i - 6/11*i**3 + 2/11*i**2 - 2/11*i**5 + 6/11*i**4 = 0.
0, 1
Let p(v) be the first derivative of -v**3/3 - 30*v**2 + 61*v - 8738. Factor p(z).
-(z - 1)*(z + 61)
Let w(r) be the second derivative of -r**4/48 - 2011*r**3/12 - 4044121*r**2/8 - 13130*r. Factor w(p).
-(p + 2011)**2/4
Let v(p) be the third derivative of -7*p**8/96 + 89*p**7/30 - 473*p**6/30 + 46*p**5/3 + 131*p**4/3 + 88*p**3/3 - 988*p**2. Determine x so that v(x) = 0.
-2/7, 2, 22
Let x(b) be the first derivative of -b**4/3 + 92*b**3/3 - 176*b**2 + 1040*b/3 - 601. Suppose x(i) = 0. Calculate i.
2, 65
Let t = -4923/4 + 1231. Let u(m) be the third derivative of 0*m**3 - 6*m**2 + 0 + 1/24*m**6 - t*m**5 + 5/12*m**4 + 0*m. Solve u(b) = 0.
0, 1, 2
Let b(f) = 4*f**2 - 27*f + 20. Let q(w) = 4*w**2 - 26*w + 20. Let l(g) = -5*g - 38. Let n be l(-8). Let v(d) = n*b(d) - 3*q(d). Factor v(z).
-4*(z - 5)*(z - 1)
Let x be (45/(-6))/(19 - (-2534)/(-126)). Determine z so that -x + 81/4*z + 1/4*z**5 - 11/4*z**4 + 23/2*z**3 - 45/2*z**2 = 0.
1, 3
Suppose 136*i - 611 = 326 - 257. Determine o so that 0*o + 1/5*o**i + 0*o**2 + 1/5*o**4 + 0 + 0*o**3 = 0.
-1, 0
Let m(h) be the first derivative of -5*h**4/12 - 70*h**3/9 + 980*h**2/3 - 903. Find g, given that m(g) = 0.
-28, 0, 14
Let k(o) be the second derivative of -2*o**4/45 + 275*o**3/3 - 1031*o**2/15 + 1169*o. Suppose k(d) = 0. What is d?
1/4, 1031
Suppose 4*y - 7*n + 8*n - 1 = 0, -3 = -y - 3*n. Factor 3 + y - 15 - 3*k**5 - 21*k**4 + 6*k**2 + 3 - 72*k**2 - 39*k - 54*k**3.
-3*(k + 1)**4*(k + 3)
Suppose 4*o + 2*b + 443 = 2163, 0 = 3*b. Solve -7*r**4 + 5*r**5 + 780*r - 33*r**4 + o*r**2 - 1588 - 35*r**3 + 1948 = 0 for r.
-2, -1, 6
Let h(s) be the first derivative of s**5/6 - 1225*s**4/12 + 100855*s**3/6 - 149450*s**2/3 + 148840*s/3 - 2050. Find y such that h(y) = 0.
1, 244
Let g(b) be the second derivative of -b**4/4 + 690*b**3 - 714150*b**2 + 4126*b. Determine s, given that g(s) = 0.
690
Suppose -3*k + 16 = -4*l, -26*k + 22*k + 5*l = -20. Determine s so that k*s - 4/5*s**3 + 0*s**2 + 2/15*s**5 + 0 - 2/3*s**4 = 0.
-1, 0, 6
Let h = 807991/692562 - 1/346281. Suppose -7/6 + h*t**2 - 1/6*t + 1/6*t**3 = 0. Calculate t.
-7, -1, 1
Let v(j) = 2*j**3 + j**2 + j - 2. Let u(p) = 11*p**3 - 3*p**2 - 21*p - 39. Suppose 10*q - 13 = 47. Let c(f) = q*v(f) - u(f). Factor c(r).
(r + 3)**3
Suppose -4*m + 62 = 2*c, 4*c + 18396*m - 68 = 18392*m. Factor 16/9*u + 0 + 28/9*u**2 + 14/9*u**c + 2/9*u**4.
2*u*(u + 1)*(u + 2)*(u + 4)/9
Factor 287*p**2 + 33*p**4 - p**5 - 388*p**2 - 29*p**3 + 107*p + 55*p - 64.
-(p - 32)*(p - 1)**3*(p + 2)
Let p = -16 - -21. Suppose 4*h - p*h = -12*h. Determine m, given that h + 250/11*m + 150/11*m**2 + 2/11*m**4 + 30/11*m**3 = 0.
-5, 0
Let t be (-6 + 7)/(-2 + (-15)/(-6)). Let z = t + 5. Determine d, given that -14*d**2 + 8*d**2 + 3 - z*d + d - 3*d**2 = 0.
-1, 1/3
Let z(r) be the second derivative of r**4/10 - 38*r**3/15 - 141*r**2/5 - 1693*r. Let z(m) = 0. What is m?
-3, 47/3
Suppose -5*k - 15 = t - 0*k, -4*k + 9 = 5*t. Let c be (-54)/(-72) + 177/52 + -4. Solve 0*v - c*v**2 - 4/13*v**3 + 4/13*v**t + 0 + 2/13*v**4 = 0.
-1, -1/2, 0, 1
Factor 140*w**3 - 142*w**3 + 50*w**2 + 253*w**2 - 1296*w + 32*w**2 + 103*w**2.
-2*w*(w - 216)*(w - 3)
Let r(l) = -7*l**3 - l**2 + 2*l - 1. Let k(t) = -23*t**3 + 75*t**2 - 912*t + 2887. Let h(a) = k(a) - 3*r(a). Suppose h(u) = 0. What is u?
5, 17
Let u be -20 + -264*23/(-276). Factor 0 - u*z**3 + 8/7*z**2 + 0*z.
-2*z**2*(7*z - 4)/7
Let w(j) = 5*j**4 + 8*j**3 - 14*j**2 - 14*j - 6. Let n(c) = c**3 + c**2 - c - 1. Let s = -238 + 239. Let r(d) = s*w(d) - 6*n(d). Factor r(k).
k*(k - 2)*(k + 2)*(5*k + 2)
Let g(y) = y**2 - 6*y + 7. Let d be g(5). Let a = -25 + 274. Let -265*c**2 + 20*c - 8 + 4*c**3 - d*c**3 + 2*c**3 + a*c**2 = 0. Calculate c.
1, 2
Suppose 21*f = 2*n + 18*f - 22, -4*n - 4*f = -64. Factor -369*p - 14*p**3 - 5472 - n*p**4 + 2914 + 236*p**2 + 2720 - p**5.
-(p - 2)*(p - 1)**2*(p + 9)**2
Let y(m) be the third derivative of 0 + 35/16*m**4 - 32*m**2 + 0*m**3 + 0*m - 1/40*m**5. Factor y(o).
-3*o*(o - 35)/2
Let -821*u**2 + 14*u**2 + 4*u**3 - 295*u**2 + 679 + 977 - 558*u = 0. Calculate u.
-3/2, 1, 276
Let o(v) = v**2 + 2*v. Let k be o(2). Suppose -m = 3 - k. Factor 4*h**2 - 9*h + 6*h**3 + 1 - 5 - 2 + m*h**2.
3*(h - 1)*(h + 2)*(2*h + 1)
Let w(j) = 3*j**2 + 13*j - 53. Suppose -7*t = -233 - 12. Let d(a) = -26 - t*a + 41*a + 0*a**2 + 2*a**2. Let c(b) = 5*d(b) - 2*w(b). Factor c(x).
4*(x - 2)*(x + 3)
Let t(q) be the third derivative of 0*q + 0 - 12*q**3 + 1/4*q**4 + 194*q**2 + 1/20*q**5. Factor t(y).
3*(y - 4)*(y + 6)
Let d(i) be the first derivative of 1/54*i**4 + 1 + 0*i**3 - 1/9*i**2 + 12*i. Let h(u) be the first derivative of d(u). Let h(f) = 0. What is f?
-1, 1
Let x(o) be the second derivative of o**6/12 + 29*o**5/4 - 595*o**4/24 + 25*o**3 - 7*o - 149. Factor x(m).
5*m*(m - 1)**2*(m + 60)/2
Suppose 4*v - 37 = -5*l, 8026*v - 12 = 8022*v. Suppose -3/7*w**2 + 3/7*w**l + 0 - 9/7*w**4 + 9/7*w**3 + 0*w = 0. What is w?
0, 1
Let f(u) be the third derivative of u**5/210 - 17*u**4/6 + 472*u**3/21 - 3183*u**2. Factor f(n).
2*(n - 236)*(n - 2)/7
Let g = 286 + -283. Solve -5*j**4 - 17687*j**3 + 44*j**2 + j**4 + 17671*j**g - 24*j = 0.
-6, 0, 1
Let m(p) be the third derivative of -1/30*p**4 + 0*p + 252*p**2 + 2/3*p**3 + 1/150*p**6 - 1/15*p**5 + 0. Factor m(y).
4*(y - 5)*(y - 1)*(y + 1)/5
Suppose c = 2*b + 71 - 51, -2*c + b + 16 = 0. Find u such that -1/4*u**5 - 1/2 - 9/4*u - 3/2*u**c - 4*u**2 - 7/2*u**3 = 0.
-2, -1
Let -856/11*v + 2/11*v**4 + 546/11*v**2 + 424/11 - 116/11*v**3 = 0. What is v?
1, 2, 53
Suppose 4*c - 2*k = 28, -407*c + 405*c + 5*k = -14. Let p be c + 0 - (-700)/(-112). Factor -12*z**2 + p*z**3 - 21/2 + 87/4*z.
3*(z - 14)*(z - 1)**2/4
Let n = -24109201/1448 - -16650. Let l = 5431/1448 + n. Factor 5/4 + l*s - 5*s**2.
-5*(s - 1)*(4*s + 1)/4
Let s(i) be the second derivative of -97*i + 1/3*i**4 - 1/60*i**5 - 10/9*i**3 + 0 + 0*i**2. Factor s(y).
-y*(y - 10)*(y - 2)/3
Let n = 10738 - 193279/18. Let v(k) be the second derivative of n*k**4 - 11/90*k**5 - 18*k - 1/3*k**3 + 0 + 2/9*k**2 + 1/45*k**6. Factor v(s).
2*(s - 1)**3*(3*s - 2)/9
Let w(o) be the third derivative of 256/15*o**3 - 1/15*o**6 + 0*o - 16/3*o**4 + 1/525*o**7 - 2 + 11*o**2 + 22/25*o**5. Let w(h) = 0. Calculate h.
2, 8
Let w(y) be the third derivative of -y + 0 + 4/3*y**3 - 74*y**2 - 1/180*y**6 - 1/45*y**5 + 11/36*y**4. Factor w(t).
-2*(t - 3)*(t + 1)*(t + 4)/3
Let h(x) be the second derivative of x**7/63 + 2*x**6/5 + 32*x**5/15 - 17*x**4/3 - 65*x**3/9 + 28*x**2 + 126*x. Solve h(l) = 