3*d**4. Factor x(a).
5*a*(a + 11)*(11*a + 2)**2
Let j be 48/22 - (-16)/(-88). Suppose 12 = -0*d + 3*d, 5*d = -5*i + 65. Suppose -i*t**2 + 20*t**2 + 10*t - 8 - 13*t**j = 0. What is t?
1, 4
Let g(a) be the second derivative of a**5/150 - 187*a**4/45 - 751*a**3/45 - 376*a**2/15 - 5643*a. Determine f so that g(f) = 0.
-1, 376
Let f(d) be the third derivative of d**8/840 - 2*d**7/35 + 91*d**6/100 - 392*d**5/75 + 555*d**2 + 4. Solve f(k) = 0 for k.
0, 7, 16
Find k such that -14/5*k**4 + 0*k + 6*k**2 + 0 + 2/5*k**5 + 14/5*k**3 = 0.
-1, 0, 3, 5
Let d(x) be the second derivative of -x**4/16 + 19*x**3/4 - 126*x**2 + 3*x - 264. Find c such that d(c) = 0.
14, 24
Suppose -z - 4*a = 14, -3*a - 21 = -2*z + 6. Let -10*u**4 + z*u**5 - 5*u**2 + 30*u**3 + 23*u**2 - 11*u**5 - 65*u + 2*u**2 + 30 = 0. Calculate u.
-3, -2, 1
Let y(n) be the first derivative of -67/4*n**3 - 27/2*n - 267/8*n**2 + 259 + 3/4*n**4. Factor y(h).
3*(h - 18)*(h + 1)*(4*h + 1)/4
Let c(l) = -l**2 - 2*l + 3. Let n be c(-4). Let q be 0 - ((-4)/n + (-57)/15). Factor -4*j + 4*j**q - 3*j**4 + 6*j**4 - 4*j**4 - 3*j**2 + 4.
-(j - 2)**2*(j - 1)*(j + 1)
Let o = -55 - -65. Let k be 5*(598/o - -5). Suppose -79*r - 8 - k*r**3 - 137*r**2 - 5*r - 151*r**2 = 0. Calculate r.
-1/3, -2/9
Let z(c) be the third derivative of -c**7/210 - c**6/15 - 7*c**5/20 - 3*c**4/4 - 409*c**2 - 3. Solve z(p) = 0.
-3, -2, 0
Let i = 3572/7231 - -80/1033. Factor -6/7 - i*p + 2/7*p**2.
2*(p - 3)*(p + 1)/7
Let k be 1*(0/(8 + 1))/(-6). Let g(j) be the second derivative of 0 + 1/4*j**4 + 17*j - 3/40*j**5 + 0*j**2 + k*j**3. Factor g(y).
-3*y**2*(y - 2)/2
Let f be (-6 - -3) + (-26)/(-8) + (-812)/18096*-39. Solve 2/9*m**4 + 0 - 20/9*m**3 + f*m**2 + 0*m = 0.
0, 1, 9
Let h be 455/26*((-62)/(-14) - 1). Solve 2*n**5 - 90*n**4 - h*n**3 + 21*n**4 - 12*n**2 - 23*n**5 = 0 for n.
-2, -1, -2/7, 0
Let a(g) = -g**2 - 45*g + 50. Let j be a(-46). Let x(f) be the second derivative of -j*f**2 + 1/3*f**4 - 2/3*f**3 + 0 + 7*f. Factor x(c).
4*(c - 2)*(c + 1)
Let f(v) be the third derivative of -6 + 0*v**3 - 1/480*v**6 + 1/80*v**5 + 0*v - 1/48*v**4 - 3*v**2. Determine i, given that f(i) = 0.
0, 1, 2
Let q = 199/196 + 1749/980. Factor -q - 2/5*d**2 - 16/5*d.
-2*(d + 1)*(d + 7)/5
Let j(s) be the third derivative of 11*s**5/360 + 3*s**4/8 + 298*s**2. Factor j(w).
w*(11*w + 54)/6
Let x be 0/(36/12)*8/48. Let v(i) be the third derivative of 11*i**2 - 1/1365*i**7 + 0*i + 0*i**4 + 0 + 0*i**3 + x*i**5 + 1/195*i**6. What is z in v(z) = 0?
0, 4
Find x, given that 56/9*x**2 + 1/9*x**3 + 161/9*x + 106/9 = 0.
-53, -2, -1
Let v(r) be the second derivative of 1/16*r**4 + 0 + 7/8*r**3 + 0*r**2 - 19*r. Factor v(b).
3*b*(b + 7)/4
Suppose 51*l = -3*l + 89154. Let o = l - 4952/3. Let 0*s**2 + 4/3*s**3 + 0 - o*s**4 + 0*s = 0. What is s?
0, 4
Let h = 75/11 + -567/88. Let b be ((-3)/(-140))/(380/6650). Find j, given that b*j**2 + 0 + h*j = 0.
-1, 0
Let r(w) be the third derivative of -w**5/80 + 49*w**4/32 - 111*w**3/2 + 162*w**2 + 10*w + 2. Factor r(j).
-3*(j - 37)*(j - 12)/4
Let n(y) = 3*y - 8. Let m be n(4). Determine c so that -5 + 8*c**3 + 13*c**3 - 3*c**4 - 10*c - 11*c**3 + 8*c**m = 0.
-1, 1
Factor 6130*o**2 - 72*o**3 + 6120 + 12245*o - 58*o**3 + 205*o**3 - 70*o**3.
5*(o + 1)**2*(o + 1224)
Find p, given that 54*p**2 + 0 + 3/2*p**4 + 0*p + 30*p**3 = 0.
-18, -2, 0
Suppose -2*m = 27 - 35. Suppose 195*y**2 + 49*y**4 + 5 - 3*y**4 + 9*y**m - 85*y + 5 - 175*y**3 = 0. What is y?
2/11, 1
Suppose 3*a + 19 = k, -4*k = -28*a + 23*a - 76. Suppose -y + k = 5*t, -16*y = -11*y - 5*t - 65. Let 57/4*r + 9/2 + 4*r**3 + y*r**2 = 0. Calculate r.
-2, -3/4
Factor 643938125 - 360490888*u + 283880981*u + 7585*u**4 + 5*u**5 + 651596450*u**2 + 3840530*u**3 + 1368311532*u.
5*(u + 1)**2*(u + 505)**3
Let j(z) = -10*z**4 - 195*z**3 - 1735*z**2 - 2750*z + 15. Let v(r) = 31*r**4 + 586*r**3 + 5205*r**2 + 8250*r - 48. Let g(o) = 16*j(o) + 5*v(o). Factor g(k).
-5*k*(k + 2)*(k + 11)*(k + 25)
Let m(k) be the first derivative of -2*k**4 + 2692*k**3/3 + 2026*k**2 + 1352*k - 3931. Find d such that m(d) = 0.
-1, -1/2, 338
Let t(h) = 6*h + 5. Let r be t(4). Suppose -z - 5*s + 32 = 0, 0*s = -2*z - 3*s + r. Let 4*p**4 - p**3 - z*p**4 - 3*p**5 + p**3 = 0. What is p?
-1, 0
Let v(c) be the first derivative of 5*c**3/6 + 2825*c**2/2 + 1596125*c/2 - 10544. Factor v(d).
5*(d + 565)**2/2
Let f(i) be the second derivative of i**4/54 + 19*i**3/27 - 22*i**2/3 - i - 1017. Let f(n) = 0. Calculate n.
-22, 3
Let n(h) = h**3 - 4*h**2 - 5*h + 9. Let f be n(5). Suppose 4*v - f = a, v - 3*a = -5*a. What is r in -1/3*r**v - 20/3*r - 100/3 = 0?
-10
Let y(q) be the first derivative of 0*q**2 + 0*q - 8/3*q**3 - 134 + 1/2*q**4 + 8/5*q**5 - 1/3*q**6. Find r, given that y(r) = 0.
-1, 0, 1, 4
Let w(d) = -12 - 2*d - 4*d + 19*d + d**2. Let j be w(-16). Determine n so that 37*n + n**3 + n**5 + 2*n**4 - j*n - 3*n**3 - 4*n**2 + 2 + 0*n**5 = 0.
-2, -1, 1
Let s = -6116605/8 + 764576. Factor 3/2*v**2 - 9/2*v + s*v**3 + 0.
3*v*(v - 2)*(v + 6)/8
Let y(q) = 2*q**2 + 15*q - 3. Let p be (-2 + 1)/((-11)/33). Let i(o) = -2*o**2 - 16*o + 2. Let g(a) = p*i(a) + 2*y(a). Determine n, given that g(n) = 0.
-9, 0
Let z(a) = 3*a - 6. Suppose x - 2*x = -2*l - 6, -5*x - 2*l = -6. Let q be z(x). Factor 8 + q*d**4 - 12*d + 8*d**3 - 4*d**4 + 4*d**3 - 4*d**2.
-4*(d - 2)*(d - 1)**2*(d + 1)
Let d(t) be the third derivative of t**7/10 + 2*t**6/5 - 17*t**5/20 - 3*t**4/4 + 299*t**2. Determine u so that d(u) = 0.
-3, -2/7, 0, 1
Suppose -3*m = h - 5, 4*m + 4*h + 25 = 7*m. Let w(b) be the third derivative of 5/2*b**m - 7*b**2 + 0*b + 0 + 1/100*b**5 + 1/4*b**4. Find o such that w(o) = 0.
-5
Let p(u) = -u + 3. Let t(l) = -4*l**2 + 97*l + 681. Let b(z) = 5*p(z) + t(z). Factor b(d).
-4*(d - 29)*(d + 6)
Factor -20881*v - 16250*v**2 + 5555*v**2 - 1805*v**3 + 4906*v - 5*v**4.
-5*v*(v + 3)**2*(v + 355)
Suppose 2*h = z + 871, 18*z - 13*z + 431 = h. Let w = 441 - h. Determine s so that 3/8*s**w + 15/8*s**4 + 27/8 - 9/8*s - 21/4*s**2 + 3/4*s**3 = 0.
-3, -1, 1
Suppose -3*r + 0*r - c + 5 = 0, c + 11 = 5*r. Suppose 0 = 5*b - 5*o - 20, 3*b = 2*b + 4*o - 11. Factor -4*w + b*w**3 - 5*w + 6 - 6*w**4 + 3*w**4 - 3*w**r.
-3*(w - 2)*(w - 1)**2*(w + 1)
Let m(w) be the first derivative of -201*w**5/5 - 3*w**4/4 + 268*w**3 + 6*w**2 + 7994. Find j, given that m(j) = 0.
-2, -1/67, 0, 2
Let b(k) be the third derivative of -1/2*k**4 - 29/30*k**5 + 0*k + 166*k**2 - 3/20*k**6 + 2 + 0*k**3. Solve b(s) = 0.
-3, -2/9, 0
Let d = 3989 + -1926. Factor -d*h**2 - 22*h**3 + 4331*h**2 + 32 - 212*h - 2066*h**2.
-2*(h - 8)*(h - 1)*(11*h - 2)
Determine i so that -56/11*i + 2/11*i**2 + 230/11 = 0.
5, 23
Let i(v) be the second derivative of 4 - 47/30*v**5 + 16/63*v**7 - 8/45*v**6 - 19/9*v**3 + 2/3*v**2 + 4*v + 28/9*v**4. Find x, given that i(x) = 0.
-2, 1/4, 1
Let m(d) be the third derivative of -1/35*d**7 + 0*d - 14*d**2 + 1/15*d**6 + 1 + 0*d**3 + 1/10*d**5 - 3/8*d**4 + 1/336*d**8. Factor m(z).
z*(z - 3)**2*(z - 1)*(z + 1)
Let h be -616 - 7/((-28)/32). Let w = -608 - h. Find r such that 5*r + 105/4*r**3 - 125/4*r**5 + w - 25*r**2 + 25*r**4 = 0.
-1, 0, 2/5, 1
Determine w so that -1065/7*w**2 + 327*w + 3/7*w**4 - 1170/7 - 57/7*w**3 = 0.
-13, 1, 30
Find m such that -156*m + 4 + 4*m**3 - 39*m**2 + 44 + 32 + 43*m**2 + 68*m**2 = 0.
-20, 1
Let p(v) = 2*v + 10. Let n be p(7). Factor -3*d + 30 + 100*d**2 + n*d - 97*d**2.
3*(d + 2)*(d + 5)
Let s = -12/59 + 131/354. Let g(p) be the first derivative of 0*p + s*p**6 + 4/3*p**3 + 1/2*p**2 + 3/2*p**4 + 37 + 4/5*p**5. Factor g(o).
o*(o + 1)**4
Let d(x) = -4*x**2 + 46*x + 6. Let g(f) be the third derivative of f**5/15 - 47*f**4/24 - 5*f**3/6 + 12*f**2 + 3*f. Let i(j) = 5*d(j) + 6*g(j). Solve i(l) = 0.
0, 13
Let f be 16/(-60)*(-6)/20*-1040. Let m = -83 - f. Let -m*k**3 - 7/5*k**2 - 1 - 11/5*k = 0. Calculate k.
-5, -1
Let w(d) be the first derivative of 22 + 0*d**2 - 1/28*d**4 - 1/14*d**3 + 10*d. Let g(c) be the first derivative of w(c). Factor g(r).
-3*r*(r + 1)/7
Let a(s) = -10*s - 102. Let j be a(-12). Suppose 3*z - j = -3*z. Solve 1/10 - 1/10*i - 1/10*i**2 + 1/10*i**z = 0.
-1, 1
Suppose 0 = 27*l - 11*l + 8528. Let d = l - -536. Factor 1/10*f**d + 1/10 + 3/10*f**2 + 3/10*f.
(f + 1)**3/10
Determine w, given that 1058*w + 18*w**4 - 232*w**2 - 16427*w**5 + 16426*w**5 - 1296 - 69*w**3 + 2