+ 1/2*v**6 + 0*v**3 - 6*v**2 + u*v**4. What is r in k(r) = 0?
-2/5, 1, 2
Let b(o) = -13*o**2 - 8*o + 26. Let h be b(3). Let d = h + 118. Determine a so that -17*a**3 + 4*a**4 + 9*a**3 + 8*a**d - 4*a**2 = 0.
-1, 0, 1
Suppose 9 = 4*s + 5*y, -5*s - 3 = 3*y - 24. Let a be 12/(-810)*s*-9. Factor 0 + 56/5*w**4 + 26/5*w**5 + a*w**2 + 0*w + 34/5*w**3.
2*w**2*(w + 1)**2*(13*w + 2)/5
Let y = 55691/210 + -2651/10. Factor y*c**2 - 88/21*c + 968/21.
2*(c - 22)**2/21
Let h = 68 - 65. Suppose 5*z = -h*z + 16. Factor 11*b - 3*b + 2*b**z - 4*b**2.
-2*b*(b - 4)
Suppose 11*n + 132 + 10439 = 0. Let j = -959 - n. Suppose -1/5*u**j - 4/5 + 4/5*u = 0. Calculate u.
2
Suppose 4*g = -n - 6, -6*g + 5*g = -3*n - 57. Let f be 1*2/n*0. Factor 1/5*o + f + 1/5*o**2 - 1/5*o**4 - 1/5*o**3.
-o*(o - 1)*(o + 1)**2/5
Solve 960 - 1169*b**3 + 172*b**2 - 1616*b + 1218*b**3 + 451*b**2 = 0.
-15, 8/7
Let m(c) be the second derivative of 3*c**5/5 - 22*c**4/3 + 50*c**3/3 + 100*c**2 - 13*c - 17. Suppose m(y) = 0. Calculate y.
-1, 10/3, 5
Let h be ((2/(80/42))/3)/(8582/3295488). Solve h*k + 3/5*k**3 + 87/5*k**2 + 588/5 = 0.
-14, -1
Suppose 0 + 82*l + 163/2*l**4 - 165/2*l**3 - 163/2*l**2 + 1/2*l**5 = 0. What is l?
-164, -1, 0, 1
Determine s so that 31/3*s**2 + 0 + 3*s**3 + 4*s = 0.
-3, -4/9, 0
Let o = 5267/12 + -2629/6. Let a(k) be the first derivative of -3*k**3 - 3/2*k**2 + 1 + o*k**4 + 9*k. Let a(b) = 0. What is b?
-1, 1, 3
Let 19/2*z - 1/2*z**3 + 2*z**2 + 7 = 0. What is z?
-2, -1, 7
Let p = 1213/4884 + 2/1221. Let u(k) be the second derivative of -1/24*k**4 - 1/40*k**5 + p*k**2 + 1/12*k**3 - 6*k + 0. Factor u(f).
-(f - 1)*(f + 1)**2/2
Let l(w) = 15*w + 26. Let g be l(-1). Factor g*s**2 - 7*s - 6*s**2 - 3*s**3 + 4*s**2 - 2*s + 3.
-3*(s - 1)**3
Let m(s) be the third derivative of s**6/30 - 91*s**5/15 + 2279*s**4/6 - 18490*s**3/3 - 3959*s**2. Factor m(z).
4*(z - 43)**2*(z - 5)
Solve -2/19*p**2 - 6*p + 236/19 = 0 for p.
-59, 2
Let c(i) be the first derivative of 78 + 0*i + 20/27*i**3 + 1/3*i**2 + 1/27*i**6 + 4/15*i**5 + 2/3*i**4. Solve c(q) = 0.
-3, -1, 0
Factor -3*k**3 + 2*k**3 + 694*k + 111*k - 1271*k**2 + 870*k**2 - 403.
-(k - 1)**2*(k + 403)
Let v be ((-1)/(-5))/((110/(-225))/(-11)). Let j = v - 33/10. Find l, given that j*l**4 + 0*l**2 + 2/5*l**5 + 4/5*l**3 + 0 + 0*l = 0.
-2, -1, 0
Let j be -11 - (1080/(-12420) - 3/(3105/11433)). Factor -2/15*i - j*i**2 + 2/15*i**3 + 2/15.
2*(i - 1)**2*(i + 1)/15
Find q such that -57/2*q**2 + 111/2 + 3/4*q**3 + 105/4*q = 0.
-1, 2, 37
Let z be 766/(-48) + (479 - 463). Let b(t) be the third derivative of 0*t + 5/24*t**4 - 5/12*t**3 + 0 - z*t**5 - 34*t**2. Determine c, given that b(c) = 0.
1
Let g(j) be the second derivative of j**4/78 + 2116*j**3/39 + 1119364*j**2/13 + 9489*j. Find f such that g(f) = 0.
-1058
Let b = 520 - 516. Let a be ((-90)/165)/(b/(-22)). Factor 1/3*i**a - i**2 - 1/3*i + 1.
(i - 3)*(i - 1)*(i + 1)/3
Let n(j) be the third derivative of j**5/15 + 88*j**4/3 + 15488*j**3/3 - 15*j**2 + 37. Let n(c) = 0. What is c?
-88
Let o be (-1 - 51/(-9)) + 104/312. Let g(k) be the second derivative of 0*k**2 - 5*k**3 - 5/12*k**4 + 0 + 5/4*k**o + 11*k. Find a such that g(a) = 0.
-1, 0, 6/5
Determine k so that 83*k + 34*k**2 - 2241 + 2*k**3 + 22*k - 1287 - k**3 = 0.
-21, 8
Let w(z) be the first derivative of -z**5/30 + 9*z**4/4 - z**2/2 - 30*z - 56. Let q(t) be the second derivative of w(t). Find x, given that q(x) = 0.
0, 27
Suppose 4*l - 173 = -113. Let v be ((12/l)/(-2))/((-30)/100). Factor -v*f**4 + 1/3 + 11/3*f**3 + 1/3*f - 3*f**2.
-(f - 1)**3*(4*f + 1)/3
Factor 7*z**3 + 8*z**3 - 247*z**2 + 147*z**2 - 13*z**3.
2*z**2*(z - 50)
Let r = 2535/11 + -17701/77. Let a(n) be the first derivative of -r*n + 0*n**2 + 23 + 4/21*n**3. Suppose a(y) = 0. What is y?
-1, 1
Let n = -121247 - -121247. Factor n + 1/10*a**3 + 0*a + 3/10*a**2.
a**2*(a + 3)/10
Let f(d) be the second derivative of -1/180*d**6 + 0*d**2 + 7*d - 1/6*d**5 - 7/3*d**3 - 25/12*d**4 + 0. Let c(w) be the second derivative of f(w). Factor c(l).
-2*(l + 5)**2
Let f(i) be the first derivative of 3*i**5/40 + 5*i**4/4 + 17*i**3/4 + 6*i**2 - 51*i - 112. Let w(s) be the first derivative of f(s). Solve w(u) = 0.
-8, -1
Factor 2190*p**4 + 160 - 156*p**3 + 156*p + 2187*p**4 - 6567*p**4 - 164*p**2 + 2194*p**4.
4*(p - 40)*(p - 1)*(p + 1)**2
What is o in -2/5*o**3 + 104/5*o - 352/5 + 8*o**2 = 0?
-4, 2, 22
Let n be ((-10 + 10)/(-3))/(34 - 36). Find s such that 0*s + 1/5*s**3 + 0*s**2 - 1/5*s**5 + 0 + n*s**4 = 0.
-1, 0, 1
Let v(c) be the third derivative of -19*c**2 - c + 7/40*c**5 - 1/8*c**4 + 0*c**3 + 0. Suppose v(p) = 0. Calculate p.
0, 2/7
Let r(y) be the first derivative of 2/3*y**2 - 9 - 7/18*y**4 - 5/9*y**3 + 13*y. Let p(w) be the first derivative of r(w). Determine t, given that p(t) = 0.
-1, 2/7
Suppose 0 = 4*f + 2*s + 164, -2*s - 100 = 3*f + 22. Let r be -7*(f/147 - 2/7). Factor 1/3*q**3 + r*q + 2*q**2 + 8/3.
(q + 2)**3/3
Suppose 0 = -2*y - 4*g - 790, 5*y = 7*y - 4*g + 822. Let h = -401 - y. Factor -1/2 - 1/2*x**h - x.
-(x + 1)**2/2
Let f be 3/(-12 - 4113/(-342)). Suppose -5*g - 89 = -f. Let 0*q + 1/8*q**g + 0*q**2 - q**4 + 2*q**3 + 0 = 0. Calculate q.
0, 4
Let f(s) be the first derivative of 507*s**6/16 - 7761*s**5/40 + 4955*s**4/16 - 239*s**3/6 + 3*s**2/2 - 4730. Let f(j) = 0. What is j?
0, 2/39, 2, 3
Let v(x) be the first derivative of -2*x**3/27 - 43*x**2/9 - 363. Let v(f) = 0. Calculate f.
-43, 0
Let y = 903133 - 1806249/2. Factor 15/4*o**3 + 25/4*o - y*o**2 - 3/2.
(o - 1)*(3*o - 2)*(5*o - 3)/4
Factor -193*l - 21035*l**2 - 2*l**3 + 20939*l**2 - 684 - 585*l.
-2*(l + 1)*(l + 9)*(l + 38)
Suppose 8*i = 7*i - 12. Let k = i + 28. Factor -36*c**5 - 60*c**4 + c**3 + 35*c**3 - k*c**3 + 60*c**2 - 16.
-4*(c + 1)**3*(3*c - 2)**2
Let a = 155 + -160. Let k be (-7 - (-66)/12)*2/a. Factor -27/5*o**3 - 21/5*o**4 + 0 - k*o - 3*o**2 - 6/5*o**5.
-3*o*(o + 1)**3*(2*o + 1)/5
Let y(d) be the third derivative of d**8/2688 - d**7/280 - d**6/320 + d**5/24 - d**4/16 + 484*d**2. Factor y(t).
t*(t - 6)*(t - 1)**2*(t + 2)/8
Let b be ((-320)/(-120))/2*(20/8 + -2 + 0). Factor -50/3 - b*p**2 + 20/3*p.
-2*(p - 5)**2/3
Let x be (-46 + (-79 - -134))*1/3. Factor -11/2*m**2 + 1/4*m**x + 19*m - 18.
(m - 18)*(m - 2)**2/4
Let q = -1227960 - -1227960. Factor -22/5*a**3 + q - 18/5*a - 2/5*a**4 - 38/5*a**2.
-2*a*(a + 1)**2*(a + 9)/5
Suppose -11 = -3*l + 37. Suppose -l*s = 20*s. Factor 1/3*v + 8/3*v**2 + s.
v*(8*v + 1)/3
Let n(y) be the second derivative of 5*y**8/1008 - y**7/42 + y**6/36 + 13*y**2/2 + 20*y. Let p(a) be the first derivative of n(a). Factor p(w).
5*w**3*(w - 2)*(w - 1)/3
Let u(x) be the first derivative of 4/3*x**3 + 16*x + 1/2*x**4 + 59 - 28/3*x**2 - 2/15*x**5. Factor u(f).
-2*(f - 2)**3*(f + 3)/3
Let l(c) be the second derivative of 0*c**4 - 1/105*c**6 + 0*c**3 - 3 + 0*c**2 + 0*c**5 + 16*c + 1/147*c**7. What is k in l(k) = 0?
0, 1
Suppose 20*v - 306 = -38*v + 7*v. Let m(t) be the first derivative of 0*t**4 - 19 + 0*t + 0*t**3 + 0*t**2 - 2/35*t**5 - 1/21*t**v. Let m(h) = 0. Calculate h.
-1, 0
Let h be (-488)/854*(-7)/24. Factor 1/3*y - 1/6 - h*y**2.
-(y - 1)**2/6
Let i be ((-1995)/(-14))/(-15) + -28 + 39. Factor i*n - 3/2*n**3 - 45 + 9*n**2.
-3*(n - 5)*(n - 3)*(n + 2)/2
Let d be (-378)/147*-14*(-2)/(-30). Find l such that 3/5*l**4 + 39/5*l**2 - 18/5*l**3 + d - 36/5*l = 0.
1, 2
Suppose -n = 3*r - 0 - 9, 0 = -2*n - 4*r + 14. Let v be ((-62)/(-8) - 8)*-1*n. Solve -v*c + 3/8*c**2 + 3/8 = 0 for c.
1
Let t(m) be the second derivative of -m**7/21 - 246*m**6/5 - 136897*m**5/10 - 45264*m**4 - 135424*m**3/3 - 11484*m. Let t(n) = 0. What is n?
-368, -1, 0
Let z(k) = 2*k**2 + 3*k + 16. Let p be z(4). Let m be (-3 + (-18)/(-4))*p/9. Factor m - 33*f - 4*f**2 + 2*f**2 + 23*f + 2.
-2*(f - 1)*(f + 6)
Let x(b) = 9*b**2 + 31*b + 8. Let p(v) = -v**2 - 13*v - 7. Let a(h) = h**2 + h - 1. Let g(m) = 6*a(m) - 2*p(m). Let s(z) = -3*g(z) + 4*x(z). Factor s(q).
4*(q + 2)*(3*q + 1)
Let x(i) be the third derivative of -i**5/12 + 1145*i**4/24 - 1605*i**2. Factor x(j).
-5*j*(j - 229)
Let b(u) be the third derivative of u**6/60 + u**4/8 - u**3/2 - 68*u**2. Let g(s) = -6*s**3 - 7*s + 7. Let i(p) = -7*b(p) - 3*g(p). Solve i(q) = 0.
0
Factor 0*k + 12*k**2 - 22/7*k**3 - 2/7*k**4 + 0.
-2*k**2*(k - 3)*(k + 14)/7
Let o(b) = 2*b**3 - 11*b**2 + 22*b - 13. Let n(