+ 0 + 15/7*f**l + 1/7*f**3.
f*(f - 1)*(f + 16)/7
Let l be (-28)/(-48) - 8/32*8/4. Let o(i) be the third derivative of -l*i**4 + 0 + 20*i**2 - 2/3*i**3 + 0*i + 1/60*i**6 + 1/15*i**5. Factor o(y).
2*(y - 1)*(y + 1)*(y + 2)
Let b be (-69)/(-4) - (-35)/(-28). Suppose w + b - 32 = 0. Factor -w - q**2 - 31 - 17 + 16*q.
-(q - 8)**2
Let n(l) be the second derivative of -l**6/15 + 3*l**5/5 + l**4/6 - 2*l**3 + 118*l + 2. Determine j, given that n(j) = 0.
-1, 0, 1, 6
Find z, given that 656*z**5 - 2249*z - 112*z**4 + 5*z - 2688*z**2 - 660*z**5 - 60*z - 976*z**3 = 0.
-12, -2, 0
Factor 1/2*x**2 - 14 + 27/2*x.
(x - 1)*(x + 28)/2
Let u(m) be the first derivative of -m**5/270 + m**4/12 + 22*m**3/27 + 79*m**2 - 1. Let x(f) be the second derivative of u(f). Factor x(w).
-2*(w - 11)*(w + 2)/9
Let b(o) be the third derivative of o**6/420 - 106*o**5/105 + 5*o**4 - 7462*o**2. Factor b(d).
2*d*(d - 210)*(d - 2)/7
Factor 2/5*j**4 + 8/5*j**3 + 0 - 234/5*j**2 + 0*j.
2*j**2*(j - 9)*(j + 13)/5
Suppose -8285*d**3 - 4 + 193*d**4 + 683920*d**2 - 176938*d + 590278*d - 168*d**4 + 4 = 0. What is d?
-3/5, 0, 166
Determine d so that -17/4*d**2 + 15/4*d**3 - 15/4*d + 4 + 1/4*d**4 = 0.
-16, -1, 1
Suppose -10 = -2*n + 3*p, -4*n + 30 - 10 = 5*p. Find f, given that -3*f**5 + 19*f**3 - 96 - n*f**2 - 16*f**3 + 67*f**2 + 52*f**2 - 18*f**4 = 0.
-4, -1, 1, 2
Let c be 31648/(-230) - (-7)/(-5). Let z = c - -142. Let -1/4*l**z + 1/4*l**2 + 0*l + 0 = 0. Calculate l.
0, 1
Let j(q) be the second derivative of -q**4/4 + 1047*q**3 - 3288627*q**2/2 + 13158*q. Factor j(a).
-3*(a - 1047)**2
Let w(x) = 16*x + 63. Let z be w(-4). Let f be (-7 - z)*(-40)/1200. Factor 1/5*i**2 + f - 2/5*i.
(i - 1)**2/5
Let t(k) be the third derivative of -1/35*k**7 + 0*k + 5/8*k**6 - 1/8*k**4 + 54*k**2 + 1/10*k**5 - 3/14*k**8 + 0 + 0*k**3. Find y such that t(y) = 0.
-1, -1/4, 0, 1/6, 1
Let b(j) = -557*j - 45117. Let v be b(-81). Find y, given that 2/7*y**3 - 20/7*y + v - 18/7*y**2 = 0.
-1, 0, 10
Let k be 48/(-192) - ((-565)/4 - -2). Find i, given that 39*i**3 - 1008*i - k - 417 + 27*i**4 - 411*i**2 - 32 - 3*i**5 = 0.
-2, -1, 7
Let i(n) be the third derivative of -n**6/280 + 11*n**5/140 - 5*n**4/28 + 29*n**2 + 5. Suppose i(k) = 0. What is k?
0, 1, 10
Let r(w) = -29*w - 3. Let h be r(-7). Suppose -8*p - h = -16*p. Find n such that p + 15*n**2 - 10 + 5*n**2 - 35*n - 5*n**3 + 5*n**2 = 0.
1, 3
Suppose h + 2 = 5, -6 = t - 3*h. What is d in -249*d**t - 39 - 1440*d**2 - 41 + 700*d - 156*d**3 = 0?
-4, 2/9
Let d = 69 - 68. Let q be d/((-4)/(-16)) - 1. Factor 16*m**2 + 15*m**3 + 0*m**q - 13*m**3 + 10 - 2*m**2 + 22*m.
2*(m + 1)**2*(m + 5)
Let h(g) be the third derivative of g**8/336 - 8*g**7/105 + 21*g**6/40 + 4*g**5/15 - 8*g**4/3 - 6489*g**2. Determine i so that h(i) = 0.
-1, 0, 1, 8
Suppose -i + 0*i + 3 = 0. Suppose 0*q + 5*q = -5, -6 = -g + i*q. Factor 7*u - 2*u**2 - 4*u - g*u - 14*u.
-2*u*(u + 7)
Suppose 0 = -8*h - 2584 + 2616. Let d(r) be the second derivative of 0*r**2 + 13/48*r**h + 0 + 1/12*r**3 + 9*r + 3/40*r**6 + 3/10*r**5. Factor d(t).
t*(t + 2)*(3*t + 1)**2/4
Solve -52 + 70/9*h**3 + 310/9*h**2 + 10*h - 2/9*h**4 = 0.
-3, -2, 1, 39
Suppose -4*z + 108 = -3*f, -2*z = f + 9 + 17. Let g be (f/4)/(21*5/(-45)). Find r such that -2/7*r**5 - 16/7 + 12/7*r**4 + g*r + 4/7*r**2 - 22/7*r**3 = 0.
-1, 1, 2
Solve -2/7*s**2 - 16/7*s + 30 = 0.
-15, 7
Let t(s) = -14*s**4 - 868*s**3 + 10*s**2 - 2*s. Let u(c) = 6*c**4 + c**3 - 5*c**2 + c. Let q(z) = -t(z) - 2*u(z). Factor q(x).
2*x**3*(x + 433)
Suppose 35*m - 10*m = 50. Suppose -5*h**2 - h**2 - 88 + 36*h + 16*h**2 - 6*h**m = 0. What is h?
-11, 2
Let c be 3258/1170 + 28/(-20). Let k be 96/78*6/4. Determine p so that -22/13*p**2 + c - 4/13*p**3 - k*p = 0.
-3, 1/2
Let u(l) be the third derivative of 5*l**8/336 - 4*l**7/21 - 3*l**6/8 + 196*l**2 + 2*l + 3. Factor u(s).
5*s**3*(s - 9)*(s + 1)
Let c(l) = 554*l**2 - 421*l + 70. Let g(z) = -30 - 114*z**2 + 140*z - 38*z**2 - 32*z**2 + 7. Let v(n) = -4*c(n) - 11*g(n). Factor v(b).
-3*(8*b - 3)**2
Let i(u) = 7*u**3 - 17*u**2 - 79*u - 58. Let y(j) = 30*j**3 - 70*j**2 - 317*j - 230. Let z(c) = 26*i(c) - 6*y(c). Suppose z(h) = 0. Calculate h.
-4, -1, 16
Determine u, given that -680/11 - 1602/11*u**2 + 2352/11*u - 70/11*u**3 = 0.
-170/7, 2/5, 1
Suppose 418*x - 6604 + 5350 = 0. Factor 1/3*p**4 - 5488/3 - 40/3*p**x - 1568/3*p + 168*p**2.
(p - 14)**3*(p + 2)/3
Suppose 5*j + 10*j + 45 = 0. Let s be 36/(-6)*(-2)/j + 9. Let 219*k**2 - k**4 + s*k**4 - 235*k**2 + 12*k**3 = 0. Calculate k.
-4, 0, 1
Let j = 13 + -9. Let t(d) = d**2 - 14*d + 49. Let u be t(9). Find a such that -a**4 - 11*a - 6*a**2 + a**j - 1 - u*a**3 - a**4 + 7*a = 0.
-1
Let x(l) be the third derivative of l**8/108 + 29*l**7/945 + l**6/270 - 14*l**5/135 - 4*l**4/27 - l**3/27 - 1241*l**2. Solve x(w) = 0.
-1, -1/14, 1
Let j(p) be the second derivative of p**4/96 + 89*p**3/48 - 235*p**2/8 + 1139*p. Determine w so that j(w) = 0.
-94, 5
Let v be 15/30*(-1 - -2325). Let s = v - 1162. Find g such that 2/9*g**4 - 2/9*g**2 + s - 10/9*g + 10/9*g**3 = 0.
-5, -1, 0, 1
Suppose 0 = 12*n - 13*n - 232. Let q = n + 700/3. Find a, given that 1/3*a**3 - q*a**2 + 0 + 4/3*a = 0.
0, 2
Suppose 6*p = 2*p + 52. Suppose 0*a = p*a. Solve -3/8*m + 0 + 0*m**2 + 3/4*m**3 - 3/8*m**5 + a*m**4 = 0.
-1, 0, 1
Let g(q) be the third derivative of -q**7/1050 + 163*q**6/600 + 33*q**5/20 + 497*q**4/120 + 83*q**3/15 - 206*q**2 - 5. Let g(b) = 0. What is b?
-1, 166
Let z(v) be the third derivative of v**8/26880 - v**7/5040 - v**6/960 + v**4/4 + v**3/3 + 2*v**2 + 17. Let g(n) be the second derivative of z(n). Factor g(o).
o*(o - 3)*(o + 1)/4
Find l such that 70/3*l**2 - 35/3*l**4 - 35/3 + 2/3*l**3 - 1/3*l - 1/3*l**5 = 0.
-35, -1, 1
Factor -12*f**2 - 1/2*f**3 - 8*f + 64 + 1/4*f**4.
(f - 8)*(f - 2)*(f + 4)**2/4
Let m(d) be the third derivative of d**5/60 - 13*d**4/8 - 20*d**3/3 - 1316*d**2. Suppose m(k) = 0. What is k?
-1, 40
Factor 42469560*d**2 - 27915300*d + 11364*d**4 - 72283*d**5 + 4630500 - 488457*d**3 + 44220*d**3 - 754027*d**3 + 72247*d**5.
-4*(d - 105)**3*(3*d - 1)**2
Let n(p) be the second derivative of p**6/270 + p**3/6 - 21*p**2/2 + p + 28. Let w(l) be the second derivative of n(l). Factor w(t).
4*t**2/3
Let i = 226421 + -226421. Find v, given that -4/13*v + 4/13*v**3 + 2/13*v**2 - 2/13*v**4 + i = 0.
-1, 0, 1, 2
Let k(h) = 9*h**2 - h. Let d(n) = 51*n**2 + 63*n + 150. Let u(t) = -d(t) + 6*k(t). Factor u(r).
3*(r - 25)*(r + 2)
Let p(d) be the third derivative of 4/7*d**3 + 2 + 2*d**2 + 1/420*d**6 + 1/15*d**5 + 0*d + 25/84*d**4. Factor p(g).
2*(g + 1)**2*(g + 12)/7
Solve -9826 + 210*i - 82590 + 398*i - i**2 = 0 for i.
304
Let h = -5993 + 5995. Suppose 2/11 + 15/11*f**3 + 17/11*f + 38/11*f**h = 0. Calculate f.
-2, -1/3, -1/5
Let d(v) = -5 + 2 - 1 - 5*v + 2*v**2 + 3*v. Let i(k) = 4*k**2 - 5*k - 9. Let m be ((-4)/(-10))/((-6)/30). Let t(j) = m*i(j) + 5*d(j). Solve t(c) = 0.
-1, 1
Let y(u) be the first derivative of u**4/6 + 656*u**3/27 + 8855*u**2/9 - 12100*u/9 + 3147. Factor y(c).
2*(c + 55)**2*(3*c - 2)/9
Let z(u) be the second derivative of -6 + 35/2*u**3 + 2*u + 19/2*u**4 + 27/20*u**5 + 9*u**2. Factor z(f).
3*(f + 1)*(f + 3)*(9*f + 2)
Let 1/5*h**3 + 31/5*h**2 + 299/5*h + 169 = 0. Calculate h.
-13, -5
Let h(o) be the third derivative of -o**5/480 - 43*o**4/96 + 29*o**3/16 - 222*o**2. Factor h(n).
-(n - 1)*(n + 87)/8
Let t be 92/207 - 14/(-9). Suppose 2*p + 5*b - 3*b = -6, 5*p - t*b = 6. Suppose -4/7*o**2 + 0 - 4/7*o**3 - 1/7*o**4 + p*o = 0. What is o?
-2, 0
Suppose -20 = -270*s + 265*s. Let a(k) be the second derivative of 1/20*k**5 - 18*k + s*k**3 - 8*k**2 + 0 - 3/4*k**4. Suppose a(u) = 0. What is u?
1, 4
Let g(y) be the first derivative of -3/20*y**4 + 3 - 9/2*y**2 - 27/5*y - 7/5*y**3. Solve g(n) = 0 for n.
-3, -1
Factor -50*r**3 + 1758*r**4 - 151*r**3 - 1674 + 490*r**2 - 531*r - 1755*r**4 + 449*r**2.
3*(r - 62)*(r - 3)**2*(r + 1)
Let x(n) be the second derivative of -n**5/70 + 15*n**4/2 - 8000*n**3/7 - 128000*n**2/7 + 7102*n. Find l such that x(l) = 0.
-5, 160
Let u(y) = -y**3 + 34*y**2 + 34*y + 40. Let h be u(35). Determine c so that 20*c**5 + c**4 - 22*c**h - c - 91*c**3 + 94*c**3 - c**2 = 0.
-1, -1/2, 0, 1
Suppose 0 = -4*b + 155 - 147. Let 15*l**b + 17*l + 0*l + 3*l - 10*l**2 + 15 = 0. Calculate l.
-3, -1
Let t be (-255)/105 