6*y**4 + g*y + 1/18*y**3 - 15*y**2 + 0 + 1/180*y**5. Factor k(v).
(v + 1)**2/3
Let f = -85 - -88. Suppose -f*s = -3*t - 6, -2*t - s = t - 14. Suppose 18*v + 28*v**4 - 5 - 26*v**4 + 14*v**2 - 18*v**t - 11 = 0. Calculate v.
-1, 1, 8
Let k(z) be the second derivative of 5/24*z**5 + 0*z**3 + 1/36*z**6 - 65*z + 5/24*z**4 + 0 - 5/252*z**7 + 0*z**2. Solve k(a) = 0.
-1, 0, 3
Let f(o) = -2*o**2 + 2*o + 2. Let t(r) = 5*r**2 + 3*r + r + 4 - 3*r - 7*r**2. Let s(p) = 6*f(p) - 4*t(p). Find d such that s(d) = 0.
1
Let y(z) be the second derivative of -z**5/10 + 731*z**4/3 + 1463*z**3/3 + 4*z + 344. Determine r so that y(r) = 0.
-1, 0, 1463
Let j be 1745/(-349) + 0 + (-186)/22. Let i = j + 1684/99. Let i + 2/9*d**2 + 16/9*d = 0. What is d?
-4
Let q be ((-3430)/3)/(-5) + 2/(-3). Suppose 3*c = -5*o + 147, 4*c - 7*o - q = -3*o. Factor -3*b**3 - c + 3*b**4 + 54.
3*b**3*(b - 1)
Let g(r) be the second derivative of 1/10*r**5 - 3 - 64*r**2 - 11*r + 16*r**3 - 2*r**4. Find z, given that g(z) = 0.
4
Let m = 100 - 10. Factor 4*h**3 + 105 - 31*h**2 + 52*h - m + 0*h**3.
(h - 5)*(h - 3)*(4*h + 1)
Let s(u) be the first derivative of 4*u**3/15 - 68*u**2/5 - 608*u/5 + 941. Factor s(g).
4*(g - 38)*(g + 4)/5
Let o(k) be the first derivative of k**6/15 + 36*k**5/25 - 12*k**4/5 - 196*k**3/15 - 57*k**2/5 + 1046. Suppose o(b) = 0. Calculate b.
-19, -1, 0, 3
Let i(f) be the first derivative of f**6/24 + f**5/2 + 25*f**4/24 - f**2 - 5*f - 33. Let s(o) be the second derivative of i(o). Find g such that s(g) = 0.
-5, -1, 0
Let z = -1361524/5 + 272312. Factor z*k**3 + 0*k**2 + 0*k + 0 - 4/5*k**4.
-4*k**3*(k - 9)/5
Let y(f) be the first derivative of 3*f**5/20 - 19*f**4/4 + 99*f**3/2 - 243*f**2/2 + 40*f - 68. Let m(x) be the first derivative of y(x). What is z in m(z) = 0?
1, 9
Let c(w) = w**3 - 15*w**2 - 7*w + 107. Suppose 6*d = 7 + 83. Let a be c(d). Determine z, given that 2/11 - 2/11*z**a + 0*z = 0.
-1, 1
What is v in 4/9 - 22/3*v**3 - 14/3*v + 88/9*v**2 + 16/9*v**4 = 0?
1/8, 1, 2
Let u(t) be the second derivative of t**7/17640 - t**6/630 - 59*t**4/12 + 74*t. Let v(x) be the third derivative of u(x). Factor v(z).
z*(z - 8)/7
Suppose 4*f - 22 = 2*m, -5*f + 3*f = -2*m - 16. Suppose -w = 6*j - 3*j - 4, -f*j = 5*w + 16. Let 108*b - 24*b**2 + 4/3*b**j + 0 = 0. What is b?
0, 9
Let p = 680082/297535 - 2/297535. Factor -208/7*v + p + 676/7*v**2.
4*(13*v - 2)**2/7
Suppose -33*n = -29*n - 8. Suppose -3*v = -2*c + 14, 5*c + 8*v = 3*v + 10. Factor -12*d - 2*d**2 + 3*d**2 + c*d**2 - 4*d**n + 36.
(d - 6)**2
Let d be (570/513)/(15/36 + 0). Find o such that d - 16/3*o**2 - 4/3*o + 8/3*o**4 + 8/3*o**3 - 4/3*o**5 = 0.
-1, 1, 2
Let m(u) be the third derivative of 0*u**4 - 1/5*u**5 + 0*u + 1/30*u**6 - 45*u**2 + 8/3*u**3 + 0. Let m(n) = 0. What is n?
-1, 2
Suppose 6364*o - 6367*o - 168 = 0. Let x be ((-138)/(-161))/(-1*60/o). Find l such that -4/5*l**2 + 2/5*l**3 + x - 2/5*l = 0.
-1, 1, 2
Let i be 7/(-28)*(-160)/200. Let g be ((-2)/(-15))/(8/12). Factor 0 + g*t**4 - 1/5*t - 1/5*t**2 + i*t**3.
t*(t - 1)*(t + 1)**2/5
Let j = 17 + -15. Let f be 3/20*120/45. Suppose 1/10*z**4 + 3/10*z**j - 2/5 + f*z - 2/5*z**3 = 0. Calculate z.
-1, 1, 2
Solve 0*b**3 - 324*b + 215 - 188*b**2 + 4*b**4 + 289 + 4*b**3 = 0.
-6, -3, 1, 7
Let z = -209 - -173. Let u be (z/(-14))/(429/77 - 5). Factor 0 - 3*b - 3/2*b**3 + u*b**2.
-3*b*(b - 2)*(b - 1)/2
Let q(y) be the first derivative of -2*y**3/21 + 2*y**2 + 870*y/7 + 350. Factor q(p).
-2*(p - 29)*(p + 15)/7
Let i(j) be the second derivative of -j**7/14 + j**6/10 + 42*j**5/5 - 223*j - 2. Factor i(m).
-3*m**3*(m - 8)*(m + 7)
Factor 248/7 + 66/7*p**2 - 36*p - 1/7*p**3.
-(p - 62)*(p - 2)**2/7
Let f(o) be the second derivative of o**4/3 + 7*o**3/6 + 3*o**2/2 + 44*o + 2. Let g(u) = -5*u**2 - 9*u - 4. Let r(i) = 4*f(i) + 3*g(i). What is l in r(l) = 0?
-1, 0
Let i be 3 + (-71)/(-3 - -4). Let o be i/(-17) + (-1 - -52). Find g such that -3*g - o - 5*g**3 + 65 + 8*g + 5*g**4 - 15*g**2 = 0.
-1, 1, 2
Let p(q) be the third derivative of -1/300*q**6 + 0 - 1/150*q**5 + 0*q**4 + 0*q**3 - 237*q**2 + 0*q. Factor p(b).
-2*b**2*(b + 1)/5
Let p(r) be the second derivative of 68*r - 1/15*r**6 + 1/4*r**4 + 0*r**2 + 0 - 3/20*r**5 + 1/3*r**3. Factor p(d).
-d*(d - 1)*(d + 2)*(2*d + 1)
Let l be ((-10)/(-6))/(25/45). Let b(x) = -l*x**2 + 14*x + 4*x - 2*x**2 - 3*x. Let w(f) = -2*f**2 + 8*f. Let a(s) = 3*b(s) - 5*w(s). Factor a(r).
-5*r*(r - 1)
Let g = 203 + -200. Factor f**4 - 11375 + 3*f**g + 11375 - 4*f.
f*(f - 1)*(f + 2)**2
Let i(s) = 4*s**3 - 1256*s**2 + 5004*s - 12. Let a(o) = -10*o**3 + 2517*o**2 - 10007*o + 27. Let w(c) = 4*a(c) + 9*i(c). Suppose w(f) = 0. Calculate f.
-313, 0, 4
Let h(d) be the first derivative of d**3/5 + 309*d**2/5 + 31827*d/5 - 1259. Factor h(i).
3*(i + 103)**2/5
Let n(m) be the second derivative of 0 + 13*m**2 - 53/12*m**3 + 1/24*m**4 + 278*m. Factor n(s).
(s - 52)*(s - 1)/2
Suppose 50*p + 70*p = -52*p. Find z such that -4*z + p - 1/4*z**3 - 2*z**2 = 0.
-4, 0
Let s(f) be the third derivative of 1/12*f**5 + 0*f + 85/24*f**4 + 0 + 35*f**3 + 127*f**2. Solve s(k) = 0 for k.
-14, -3
Solve -3/2*h**3 - 21*h**2 + 0 - 60*h = 0.
-10, -4, 0
Let x(i) = -1592*i**2 + 4890*i - 87. Let t(y) = -265*y**2 + 815*y - 15. Let m(p) = -34*t(p) + 6*x(p). Factor m(b).
-2*(b - 3)*(271*b - 2)
Let v = 1165555/8 + -145694. Factor -v*d - 9/8*d**3 + 0 + 9/8*d**2 + 3/8*d**4.
3*d*(d - 1)**3/8
Let v = -1118/135 - -2641/270. Factor -15/2*b - v*b**2 + 21.
-3*(b - 2)*(b + 7)/2
What is s in -103040/3*s - 2/3*s**3 - 105800 + 914/3*s**2 = 0?
-3, 230
Let k(s) be the third derivative of s**8/6720 - s**6/720 + s**4/96 - 71*s**3/3 - 6*s**2 - 7*s. Let h(z) be the first derivative of k(z). Factor h(n).
(n - 1)**2*(n + 1)**2/4
Suppose -3*w - 9 = -0*w, -2*s - 5*w - 1737 = 0. Let u = s - -3471/4. Solve -9/2*p - 3/4*p**2 - u = 0.
-3
Let r be ((-1320)/495)/(((-20)/(-135))/((-6)/9)). Factor 0*i + 15/2*i**3 + 3/4*i**4 + 0 + r*i**2.
3*i**2*(i + 2)*(i + 8)/4
Let a(f) be the second derivative of 5/2*f**2 - 13/15*f**3 + 38*f + 1/60*f**4 + 0. Suppose a(u) = 0. Calculate u.
1, 25
Find n such that -11930 - 10659 + 4*n**2 + 23765 + 1180*n = 0.
-294, -1
Suppose 8*z = -29 + 5685. Let f be (z/119 - 6)*-2. Factor -8/17*q**2 - 6/17*q + f.
-2*(q + 1)*(4*q - 1)/17
Suppose -h + 0 = -3. Suppose 112*a = -256*a + 151*a - 623*a. Let -2/7*i**2 + 2/7*i**h + a - 4/7*i = 0. What is i?
-1, 0, 2
Factor -351 + 71*h**2 - 545*h**2 + 3*h**3 - 957*h - 129.
3*(h - 160)*(h + 1)**2
Let b(r) be the second derivative of r**7/168 + r**6/12 - 25*r**5/24 + 15*r**4/4 - 35*r**3/3 + 34*r. Let v(l) be the second derivative of b(l). Factor v(n).
5*(n - 2)*(n - 1)*(n + 9)
Let k(d) = d**3 + 15*d**2 + 5*d + 3. Let o(j) be the second derivative of -j**4/6 - j**3/6 + j**2/2 + 5*j. Let x(z) = -2*k(z) - 18*o(z). Factor x(p).
-2*(p - 3)*(p - 2)*(p + 2)
Suppose -19 = -2*o + 45. Factor 3*q**5 + 32*q**2 + 27*q - o*q**4 - 2*q**5 + 9*q + 3*q**5 - 40*q**3.
4*q*(q - 9)*(q - 1)*(q + 1)**2
Suppose 60*d - 381*d = 83*d. Let y(v) be the second derivative of 1/20*v**4 - 30*v + 0 + d*v**3 + 0*v**2. Factor y(b).
3*b**2/5
Let h be (-3)/((-234)/(-2175))*116. Let a = 3238 + h. Solve -34/13*y**2 - 6/13*y**3 - 16/13 - a*y = 0.
-4, -1, -2/3
Let r(b) = -4*b**4 - 920*b**3 + 51968*b**2 + 107644*b. Let t(l) = -2*l**4 - l. Let w(m) = -r(m) + 4*t(m). Factor w(g).
-4*g*(g - 116)**2*(g + 2)
Let l be 13/4*13338/28899. Factor 1 - l*n**2 - 3/2*n + n**3.
(n - 2)*(n + 1)*(2*n - 1)/2
Let u(j) be the second derivative of -j**4/18 + 208*j**3/9 - 10816*j**2/3 + 6*j - 181. Factor u(b).
-2*(b - 104)**2/3
Let z(g) = -g**2 - 16*g - 53. Let p be z(-11). Factor i**4 - 3026*i**p + 3026*i**2 - 3*i**3.
i**3*(i - 3)
Let x(t) = -2*t + 7. Let v be x(-9). Suppose -17*m + v = -12*m. Let -28*q - 73*q**3 + 37*q**4 + 66*q**2 - 5*q**m + 4 + q**2 - 2*q**5 = 0. Calculate q.
2/7, 1, 2
Let q(g) be the third derivative of 0*g + 0 + 0*g**3 + 1/2*g**4 + 50*g**2 - 17/40*g**6 - 13/20*g**5. Factor q(v).
-3*v*(v + 1)*(17*v - 4)
Let k be 69132/308 + 12/22. Let h be 6/k*10*3. Determine d, given that -4/5*d**3 + 0 - 4/5*d**2 + 0*d + 4/5*d**5 + h*d**4 = 0.
-1, 0, 1
Suppose 96*j - 1535*j**4 + 5*j**4 + 933*j**2 + 483*j**2 + 5028*j**3 - 675*j**5 = 0. Calculate j.
-4, -2/15, 0, 2
Let r be -2 - -2 - (-7 - (-1)/(-3)*-12). Let j(t) be the second derivative of