Let v(a) be the third derivative of f(a). Solve v(r) = 0.
-3, 1/6
Let m be (-9 + 9)*(-132)/(-264). Solve m*k**2 + 0 - 1/3*k**3 + 1/3*k = 0 for k.
-1, 0, 1
Let c(n) be the third derivative of -n**6/105 - 173*n**5/210 - 211*n**4/84 - 2*n**3 - 5772*n**2. Suppose c(z) = 0. Calculate z.
-42, -1, -1/4
Let c(y) = -y**2 + 2*y + 12. Let r(m) = -24*m**2 - m + 122. Let k(n) = 22*c(n) - 2*r(n). Let k(b) = 0. Calculate b.
-1, -10/13
Let r be (-8)/(-10)*(-9)/(-36)*10. Solve -6658*h**2 - 26*h**5 - 15144*h**3 - 1268*h**4 - 2*h**5 - 8031*h**r + 0*h**5 - 3087*h**2 - 3872*h = 0 for h.
-22, -1, -2/7, 0
Let h(g) be the first derivative of -3*g**5 - 3655*g**4/4 + 1635*g**3 + 1215*g**2/2 - 2450*g - 3001. Determine c so that h(c) = 0.
-245, -2/3, 1
Let t(g) be the second derivative of -g**7/189 + 4*g**6/27 - 77*g**5/90 - 121*g**4/27 + 612*g. Factor t(c).
-2*c**2*(c - 11)**2*(c + 2)/9
Factor 55769 - 154292 + 2460*a + 283*a - 453*a - 163682 - 5*a**2.
-5*(a - 229)**2
Let v(o) be the second derivative of o**4/3 - 1220*o**3 + 1674450*o**2 + 17*o + 96. Factor v(p).
4*(p - 915)**2
Let g(h) be the second derivative of -h**8/20160 - h**7/420 - h**6/20 - 3*h**5/5 - 37*h**4/6 - 48*h. Let i(l) be the third derivative of g(l). Factor i(s).
-(s + 6)**3/3
Let q(f) be the first derivative of 10*f**6/3 + 555*f**5 + 94505*f**4/4 - 40600*f**3 + 12250*f**2 + 3044. Determine l, given that q(l) = 0.
-70, 0, 1/4, 1
Let g be ((-20)/(-72))/((-4075)/(-3260)). Factor -g*o**2 - 2/9*o + 4/9.
-2*(o - 1)*(o + 2)/9
Let d be (-100340)/(-255200) + 4/22. Let l(z) be the third derivative of 1/8*z**3 - 20*z**2 + 0 + d*z**5 + 0*z - 3/8*z**4 - 3/8*z**6 + 5/56*z**7. Factor l(g).
3*(g - 1)**2*(5*g - 1)**2/4
Let n = 10114445/7 + -1447345. Let m = 2426 + n. Factor 0*f**2 - m - 2/7*f**3 + 2*f.
-2*(f - 2)*(f - 1)*(f + 3)/7
Let c(z) be the first derivative of z**7/5880 + z**6/840 + z**5/420 - 46*z**3/3 - 26. Let v(d) be the third derivative of c(d). Solve v(w) = 0.
-2, -1, 0
Let o = 390 - 388. Suppose 3*u - 18 = -3*q, u + 9 = -0*u + 4*q. Suppose 2*t**3 - t**3 - 3*t + o*t**u = 0. Calculate t.
-1, 0, 1
Let f(r) be the third derivative of -4/525*r**7 - 1/420*r**8 + 216*r**2 + 1/75*r**6 + 0*r + 0 + 7/30*r**4 + 8/75*r**5 + 4/15*r**3. Factor f(v).
-4*(v - 2)*(v + 1)**4/5
Let d(p) = -p**3 - 5*p**2 + 8*p + 17. Let y be d(-6). What is s in -13*s**3 - 12 + 11*s**4 + 5*s**y - 2*s**5 - 46*s + 6*s - 39*s**2 + 10*s**3 = 0?
-3, -1, -2/3, 2
Suppose 0 = -3*b + 432 - 444. Let r(v) = 14*v + 56. Let d be r(b). Determine k, given that -8/7*k - 4/7*k**3 + d + 12/7*k**2 = 0.
0, 1, 2
Let z(d) = -11*d + 36. Let j be z(3). Factor 32 - h + 43 + h**j - 81 + 6*h**2.
(h - 1)*(h + 1)*(h + 6)
Let b(v) be the third derivative of -v**8/672 + v**7/140 + v**6/60 - v**5/10 + 1614*v**2. Suppose b(d) = 0. Calculate d.
-2, 0, 2, 3
Let f(b) be the third derivative of -b**7/105 - 8*b**6/3 - 3119*b**5/15 + 1080*b**4 - 2187*b**3 - 1315*b**2 - b. Determine w so that f(w) = 0.
-81, 1
Let z be (22/6)/(-11) + ((-36)/54 - -4). Let t be (-18)/(-14) - (1 - 0). Determine k so that -4/7 - 2/7*k**4 + 6/7*k**2 - t*k**z + 2/7*k = 0.
-2, -1, 1
Let b be 3887/138 + -34 + 7 + -1. Let w(j) be the second derivative of -b*j**4 + 0*j**3 + 0 + 11*j - 1/60*j**5 + 0*j**2. Factor w(t).
-t**2*(t + 6)/3
Let w(s) be the second derivative of s**5/20 + 3*s**4/8 + s**3 + 59*s**2/2 - s + 15. Let m(p) be the first derivative of w(p). Factor m(y).
3*(y + 1)*(y + 2)
Suppose -22*z = 15*z - 962. Suppose -3*r + 0 = 4*d - z, -5*r + 20 = 2*d. Factor -2/7*y**5 + 0*y**r + 2/7*y**3 + 0*y + 0*y**4 + 0.
-2*y**3*(y - 1)*(y + 1)/7
Let q(s) = s**2 - 56*s - 173. Let f = 574 + -577. Let p be q(f). Factor 0 + 15/4*v**2 + 5/2*v - 5/4*v**p + 0*v**3.
-5*v*(v - 2)*(v + 1)**2/4
Let h be (-1 + 8)*(-6)/7. Let n be 4 - -102*(-4)/h. Determine t, given that 80*t**3 - n*t**2 + 105*t**3 + 9*t - 23*t**3 - t = 0.
0, 2/9
Let y(s) be the second derivative of -s**4/78 - 940*s**3/39 - 220900*s**2/13 + 221*s + 2. Solve y(w) = 0 for w.
-470
Find p, given that -1291 + 232*p**3 - 710*p**3 + 4655 - 112*p**2 + 1450*p + 243*p**3 + 237*p**3 = 0.
-2, 29
Let w(h) = -5*h + 3*h**2 + 2*h - 260*h**3 + 5*h**2 + 261*h**3. Let n = 8 + -9. Let o(k) = -k**2 + k. Let m(z) = n*w(z) - 5*o(z). Find p, given that m(p) = 0.
-2, -1, 0
Let g(n) = -n**3 - 14*n**2 - 12*n + 12. Let t be g(-13). Let m be (t - 0)/((-2)/4 + 0). Factor 16*s - 6*s**m - 40*s + 12*s - 3*s**2 + 3*s**3.
3*s*(s - 4)*(s + 1)
Let t(v) be the second derivative of -v**5/80 - v**4/4 + 13*v**3/24 + 5*v + 34. Factor t(f).
-f*(f - 1)*(f + 13)/4
Let o(q) be the second derivative of q**5/10 - 10*q**4/3 - 7*q**3 + 246*q. Factor o(a).
2*a*(a - 21)*(a + 1)
Let q be 52 - -9 - 104/(-91)*-14. Let 115/3*w**3 + 65/3*w + q*w**2 + 10/3 + 35/3*w**4 = 0. Calculate w.
-1, -2/7
Let x(j) be the first derivative of j**7/168 + j**6/60 - 3*j**5/80 - j**4/12 + j**3/6 - 161*j + 177. Let q(p) be the first derivative of x(p). Factor q(b).
b*(b - 1)**2*(b + 2)**2/4
Let m be (-29)/(-174)*(11 - 7 - -5). Suppose -m*r**2 - 3/4 + 3/4*r**5 + 3/2*r**3 + 9/4*r**4 - 9/4*r = 0. What is r?
-1, 1
Let o = -35925/2 + 395191/22. Solve 7/11*f + o - 1/11*f**2 = 0 for f.
-1, 8
Let o(p) = -p**2 - 25*p - 27. Let s be o(-25). Let c be (-66)/s - (2/2 + 1). Determine z so that 4 + 28/9*z**2 - 20/3*z - c*z**3 = 0.
1, 3
Let n = 152110 - 760538/5. What is l in -12/5*l + 3/5*l**3 - n + 3/5*l**2 = 0?
-2, -1, 2
Let n(k) be the second derivative of 2 - 2/3*k**4 + 68*k + 1/21*k**7 + 1/5*k**6 + 0*k**2 + 0*k**5 + 0*k**3. Solve n(j) = 0.
-2, 0, 1
Let g be ((-65)/260 - (-37)/20) + (-14)/15. Factor g*v**2 - 2/9*v**4 + 0*v**3 + 4/9*v + 0.
-2*v*(v - 2)*(v + 1)**2/9
Let u(z) be the first derivative of z**4/12 - 23*z**3/9 + 8*z**2/3 + 44*z - 2627. Factor u(q).
(q - 22)*(q - 3)*(q + 2)/3
Let t(p) be the third derivative of -26*p**2 + 0 - 1/12*p**5 + 2/3*p**3 - 1/3*p**4 + p. Factor t(x).
-(x + 2)*(5*x - 2)
Solve -2/7*i**4 + 82/7*i**2 + 40 + 366/7*i - 6/7*i**3 = 0.
-5, -4, -1, 7
Let v(a) be the third derivative of -a**7/420 - 239*a**6/30 - 152641*a**5/20 - 228245*a**4/6 - 912025*a**3/12 + 10462*a**2. Factor v(t).
-(t + 1)**2*(t + 955)**2/2
Let v(d) be the third derivative of -d**6/180 + 29*d**5/6 - 15841*d**4/12 + 47089*d**3/9 + 3*d**2 - 57*d. Suppose v(s) = 0. Calculate s.
1, 217
Suppose 2*n**3 - 856/7*n - 216/7 - 346/7*n**2 = 0. Calculate n.
-2, -2/7, 27
Factor 57*r**2 - 24*r**3 - 164812*r + 0*r**3 - 3*r**4 + 164782*r.
-3*r*(r - 1)**2*(r + 10)
Solve -82*n**2 + 28*n**4 + n**5 + 73*n**3 + 387982*n + 20*n**2 - 388290*n - 200 = 0.
-25, -2, -1, 2
Let z(n) = 4*n**3 + 5*n**2 + 6. Let s(c) = c**3 - 25*c**2 - 30*c + 107. Let k be s(26). Let f(r) = -r**3 - r**2 - 2. Let o(b) = k*f(b) + z(b). Factor o(j).
j**2*(j + 2)
Let m be 1 + 7 + 7887/(-990). Let y(p) be the first derivative of -1/12*p**2 + 0*p - 1/8*p**4 + 22 - m*p**5 - 1/6*p**3. Let y(a) = 0. What is a?
-1, 0
Let u(c) be the first derivative of 196*c**5/25 - 532*c**4/5 + 4432*c**3/15 + 3648*c**2/5 + 2304*c/5 + 1087. What is k in u(k) = 0?
-4/7, 6
Let l(o) = -13*o**3 - 22*o**2 + 62*o + 18. Let y(k) = -5*k**3 - 10*k**2 + 32*k + 10. Let x(q) = -6*l(q) + 10*y(q). Solve x(m) = 0.
-2, -1/7, 1
Factor -280/13 - 278/13*z + 2/13*z**2.
2*(z - 140)*(z + 1)/13
Find i such that 11462*i**2 - 20*i**3 - 56448 + 364*i**3 + 7392*i - 1736*i**2 + 3*i**4 + 0*i**4 - 5*i**3 = 0.
-56, -3, 2
Suppose 17/3*u + 1/3*u**2 - 38/3 = 0. What is u?
-19, 2
Factor 231/4 - 1/4*b**2 - 5/2*b.
-(b - 11)*(b + 21)/4
Let w(t) = 7*t**4 + 9*t**3 + 9*t**2 + 19*t + 6. Let o(r) = -r**4 + r**2 - 2*r - 1. Let b = 756 - 750. Let a(l) = b*o(l) + w(l). Suppose a(k) = 0. Calculate k.
-7, -1, 0
Let s(j) = -j**3 - 6*j**2 + 23*j + 136. Let m be s(-7). Suppose 3*u = 0, 0 = -2*p + u - 20 + m. Determine a so that 3/10*a**p - 7/5*a + 4/5 = 0.
2/3, 4
Let a(q) be the second derivative of -q**4/36 + 476*q**3/9 - 113288*q**2/3 - 828*q. Solve a(o) = 0 for o.
476
Let q(f) be the first derivative of f**4/78 + f**3/13 + 53*f - 215. Let g(m) be the first derivative of q(m). Factor g(l).
2*l*(l + 3)/13
Suppose 6*l + 3*l = -756. Let b be l/(-18) - 1 - 2/3. Determine n, given that 2*n**5 - 5*n**3 + 3*n**3 + 0*n**b + 0*n**3 = 0.
-1, 0, 1
Suppose 3200*r - 3198*r + 718 = c, 4*c - 2599 = -5*r. Find t, given that c + 1/4*t**2 - 26*t = 0.
52
Find l such that -6*l**4 + 13028*l -