et q(u) be the second derivative of -u**6/10 + 3*u**5/5 + u**4/2 - 6*u**3 - 27*u**2/2 - 1948*u. Factor q(k).
-3*(k - 3)**2*(k + 1)**2
Suppose 2*o - f - 55 = -47, -5*o + 20 = f. Let k(l) be the second derivative of -1/12*l**o - 4/3*l**3 + 12*l - 8*l**2 + 0. Factor k(u).
-(u + 4)**2
Let b(g) be the first derivative of -5/6*g**4 + 0*g + 1/12*g**5 + g**2 - 17 - 25/6*g**3. Let o(a) be the second derivative of b(a). Solve o(p) = 0.
-1, 5
Let h be ((-583265)/(-49425) - 1) + -5 - 4. Let k = -2/1977 + h. Solve -k*r + 1/5*r**2 + 8/5 = 0 for r.
1, 8
Let p(s) be the second derivative of s**6/90 + 4*s**5/15 + 4*s**4/3 - 3*s - 141. Find b, given that p(b) = 0.
-12, -4, 0
Suppose -436/15*d**2 + 24/5*d**4 - 2/15*d**5 + 592/15 + 86/15*d**3 - 104/5*d = 0. Calculate d.
-2, 1, 2, 37
Let p = -962 - -966. Factor -2*v - 84*v**2 + 363*v**2 - v - 31*v**2 + p*v**2.
3*v*(84*v - 1)
Factor -91524/7*q**2 + 60552/7*q + 0 - 3/7*q**4 + 1046/7*q**3.
-q*(q - 174)**2*(3*q - 2)/7
Let z = 346916 - 3816070/11. Solve 150/11*s + 750/11 - z*s**3 - 30/11*s**2 = 0 for s.
-5, 5
Find q, given that -2/9*q**3 + 20 + 8/9*q**2 + 34/3*q = 0.
-3, 10
Suppose 67 = 3*q + 58. Solve -93*u - 12 - 9*u**2 + 73*u + u**q - 3*u**3 + u**3 = 0.
-6, -2, -1
Let z be (-45)/(-24)*396/45. Solve -3/2 - z*p**2 + 18*p = 0 for p.
1/11, 1
Let d(c) be the second derivative of -9*c**7/70 - 2*c**6/25 + 46*c**5/25 + 8*c**4/15 - 152*c**3/15 + 32*c**2/5 + 372*c + 1. Determine x so that d(x) = 0.
-2, 2/9, 4/3, 2
Let u(y) be the third derivative of -y**8/420 + 58*y**7/525 + 35*y**2 + y - 1. Find k such that u(k) = 0.
0, 29
Let j(s) be the third derivative of s**6/420 - 19*s**5/70 + 89*s**4/21 - 100*s**3/7 + 3476*s**2. Suppose j(a) = 0. What is a?
1, 6, 50
Let o(a) be the second derivative of -a**7/126 + 2*a**6/9 - 19*a**5/10 + 6*a**4 + 3*a**3/2 - 54*a**2 - 113*a - 3. Factor o(w).
-(w - 12)*(w - 3)**3*(w + 1)/3
Let k(y) be the second derivative of -13*y + 9/2*y**2 + 3/5*y**5 - 5/4*y**4 + 1 - y**3. Determine i, given that k(i) = 0.
-3/4, 1
Let y = 6469/66490 + 18/6649. Factor -y*o - 1/10*o**2 + 0.
-o*(o + 1)/10
Let v = -41552/9 - -41558/9. Let -1/2*h**2 + v + 0*h + 1/6*h**3 = 0. What is h?
-1, 2
Let l(t) be the third derivative of t**6/40 + 181*t**5/10 - 365*t**4/2 + 732*t**3 - 14*t**2 - 2*t - 59. Factor l(f).
3*(f - 2)**2*(f + 366)
Let i be -121*(-66)/242*1/3. Let y(j) be the first derivative of -i - 6*j**2 + 2/3*j**6 - 4*j + 12/5*j**5 - 8/3*j**3 + 2*j**4. What is r in y(r) = 0?
-1, 1
Let y = -1/15305 + 229579/61220. Let k(a) = a - 3. Let m be k(8). Factor -m*q - y + 35/4*q**2.
5*(q - 1)*(7*q + 3)/4
Factor 2/5*f**4 - 54/5*f + 0 - 66/5*f**2 - 2*f**3.
2*f*(f - 9)*(f + 1)*(f + 3)/5
Suppose -132*m - 159 - 425 = -980. Factor -24/5*p + 0 - 6/5*p**m - 6*p**2.
-6*p*(p + 1)*(p + 4)/5
Suppose -644*i - 267*i - 312*i = -61*i - 4648. Factor 29/7*u + i*u**2 + 0 - 1/7*u**3.
-u*(u - 29)*(u + 1)/7
Let c be (-4)/(-9) + 5*22/(-264). Let t(h) be the first derivative of -1/8*h**2 - 1/3*h + c*h**3 - 1. Find d, given that t(d) = 0.
-1, 4
Let h(k) be the third derivative of k**5/480 + 3*k**4/32 + 5*k**3/3 + 6*k**2 - 16*k. What is v in h(v) = 0?
-10, -8
Let h = 1 + 3. Determine x, given that -2*x**h - 108*x**3 - 2*x**4 - 2*x**3 - x**4 = 0.
-22, 0
Suppose -4*l = a + 41, -4*a - 432*l + 45 = -435*l. Factor 3*k**2 - 3/4*k**a - 15/4*k + 3/2.
-3*(k - 2)*(k - 1)**2/4
Let r be (-19 + 21)/((-2)/(-4)). Let t be (33/6 - 4)/((-2)/(-4)). Solve t*j**4 - 2679*j + 2680*j + 0*j**4 + 3*j**2 + 3*j**3 - 2*j**r = 0 for j.
-1, 0
Let p(l) be the third derivative of -l**5/120 + 3*l**4/8 - 15*l**3/4 + 2*l**2 - 631. Factor p(d).
-(d - 15)*(d - 3)/2
Let g(o) = 4*o - 67. Let p be g(16). Let c be (-7)/p - (1 - (-14)/(-21)). Factor 7*a**3 + 11*a**5 + 3*a**5 - 15*a**5 + 16*a**c + 5*a**3.
-a**2*(a - 4)*(a + 2)**2
Let g(m) = -3*m**2 + 411*m + 398. Let n(y) = -19*y**2 + 2465*y + 2380. Let u(j) = -39*g(j) + 6*n(j). Factor u(o).
3*(o - 414)*(o + 1)
Let l(h) = -26*h**3 - 25*h**2 + 112*h + 139. Let n(r) = -11*r**3 - 13*r**2 + 55*r + 69. Let w(s) = -3*l(s) + 7*n(s). Factor w(a).
(a - 11)*(a - 6)*(a + 1)
Let x = 681 - 679. Let u be 2*8/(-32)*x/(-8). Factor -u*o**3 - 1/8*o**2 + 1/8 + 1/8*o.
-(o - 1)*(o + 1)**2/8
Let g(u) be the first derivative of -u**5/45 - u**4/9 - 4*u**3/27 + 278. Let g(i) = 0. What is i?
-2, 0
Let s(y) be the first derivative of -2*y**6/15 + 84*y**5/25 - 397*y**4/20 - 154*y**3/5 - 121*y**2/10 - 7502. Determine r, given that s(r) = 0.
-1/2, 0, 11
Let i(t) = 7*t**2 + 3*t + 1. Let l(n) = 4*n**2 + 2*n + 1. Let b be -7 + ((-54)/36)/(3/(-8)). Let c(g) = b*i(g) + 5*l(g). Suppose c(j) = 0. What is j?
-1, 2
Let k(l) be the second derivative of -l**5/8 - 10*l**4/3 + 275*l**3/12 - 95*l**2/2 + 1322*l. Suppose k(y) = 0. Calculate y.
-19, 1, 2
Let p be (-66)/(-55)*40/6. Let z(f) = 7*f**2 - 9*f + 17*f - p*f - 19. Let w(g) = 64*g**2 - 172. Let x(h) = 3*w(h) - 28*z(h). Factor x(v).
-4*(v - 2)*(v + 2)
Let f(k) be the third derivative of k**6/120 + 211*k**5/120 + 715*k**4/6 + 676*k**3 + 574*k**2. Factor f(s).
(s + 52)**2*(2*s + 3)/2
Let b(n) be the second derivative of -n**5/30 + 41*n**4/6 - 27*n**3 + 121*n**2/3 - n - 553. Determine u, given that b(u) = 0.
1, 121
Let p = 4507/130 - 2221/65. Let -a**2 - 3/2*a + 0 + p*a**3 = 0. Calculate a.
-1, 0, 3
Let i(u) = -8*u**2 + 855*u + 110. Let j be i(107). Factor 35/3*y + 1/3*y**j - 11/3*y**2 - 25/3.
(y - 5)**2*(y - 1)/3
Let r(d) be the third derivative of -8*d**3 + 0 - 11/15*d**5 + 0*d + 1/60*d**6 + 99*d**2 - 47/12*d**4. Find k such that r(k) = 0.
-1, 24
Let m(l) be the first derivative of 1/11*l**2 - 8/33*l**3 + 126 + 1/22*l**4 + 12/11*l. What is k in m(k) = 0?
-1, 2, 3
Let i(f) be the second derivative of -f**4/4 + 26*f**3 + 495*f**2/2 - 2*f + 48. Factor i(l).
-3*(l - 55)*(l + 3)
Let x(h) = -h**2 - h + 9. Let y be x(-3). Determine n so that 28*n**4 + 37*n**5 - 23*n**5 - 4*n**4 + 4*n**2 - 24*n**5 - 18*n**y = 0.
0, 2/5, 1
Factor 201*b**4 + 1233*b**3 - 685*b**3 - 753*b**4 - 3*b**5 + 7*b**5.
4*b**3*(b - 137)*(b - 1)
Suppose 39*q = -16*q + 165. Let u(l) be the second derivative of -25*l + 1/20*l**2 + 1/200*l**5 - 1/60*l**q + 0 - 1/120*l**4. Solve u(a) = 0.
-1, 1
Let c = 4/385 + 9577/4620. Let l(g) be the first derivative of 2/9*g**3 + g + 9 + c*g**2. Find a such that l(a) = 0.
-6, -1/4
Let m(h) = -2*h - 9. Let v be m(-7). What is a in -a + v*a + 28 - 19*a**2 - 4*a**3 - 9*a**2 = 0?
-7, -1, 1
Let d(y) = y**3 - 3*y**2 - 83*y - 89. Let c be d(-7). Let -93/5*b**3 - 3/5*b**5 - 36/5 - 153/5*b**c - 24*b - 27/5*b**4 = 0. Calculate b.
-3, -2, -1
Let y(a) be the first derivative of 4*a**3/3 - a**2 - 2*a + 1. Let c be y(-1). Factor 31 - c*q**3 - 31.
-4*q**3
Let g(c) be the second derivative of c**7/189 - 5*c**6/27 + 199*c**5/90 - 79*c**4/6 + 44*c**3 - 84*c**2 + 3*c + 169. Find v such that g(v) = 0.
2, 3, 14
Let f(d) = 7*d**2 - 45*d - 2. Let g(q) = -4*q**2 - q + 1. Suppose 0 = 319*o - 330*o - 11. Let b(i) = o*f(i) - 2*g(i). Factor b(t).
t*(t + 47)
Let c = 131405 - 3020515/23. Factor -120/23*w - 2/23*w**2 - c.
-2*(w + 30)**2/23
Suppose -4*o - 4*n - 4 = 0, 18*n = -o - 141 + 89. Factor -g**o - 5/2*g**3 - 1/2*g**5 - 2*g**4 + 0 + 0*g.
-g**2*(g + 1)**2*(g + 2)/2
Let n(x) = 16*x - 3*x - 4*x - 2 - 4*x. Let t be n(1). Factor -6*h**3 + 2*h**5 + 7*h - t*h + 2*h**4 - 3*h - 2*h**2 + 3*h.
2*h*(h - 1)**2*(h + 1)*(h + 2)
Let f = -5/11756 - 751648/2939. Let t = f - -256. Let 0 + 5/4*y**2 - y**3 + t*y**4 - 1/2*y = 0. Calculate y.
0, 1, 2
Let m(r) be the second derivative of r**6/120 - 11*r**5/80 + r**4/24 + 23*r**3/6 - 15*r**2 - 7241*r. Factor m(c).
(c - 10)*(c - 2)**2*(c + 3)/4
Let c(s) = 2*s**2 - 18*s + 6. Let w(o) = -2*o + 1. Let l(d) = d**2 - 11*d + 36. Let t be l(8). Let y(a) = t*w(a) - 2*c(a). Suppose y(b) = 0. Calculate b.
0, 3
Let v(z) = -z - 19. Let u be v(-29). Suppose u*h - 407*h**2 - 6 - 9*h**3 + 5*h + 419*h**2 = 0. Calculate h.
-1, 1/3, 2
Factor 1/4*q**2 - 15/4 - 1/2*q.
(q - 5)*(q + 3)/4
Let x(j) = -44*j**2 + 8901*j - 8944. Let t(o) = -6*o**2 + 1272*o - 1278. Let u(y) = -58*t(y) + 8*x(y). Find p, given that u(p) = 0.
-643, 1
Find l, given that 0 - 28/9*l**3 + 0*l + 10*l**2 + 2/9*l**4 = 0.
0, 5, 9
Suppose -83*h = -80*h - 54. Suppose 0 = -9*a + 3*a + h. Find z, given that 153 + 195*z**2 + 10*z - 200*z**a - 313 - 2000*z**4 + 155 = 0.
-1/4, 1/5
Suppose -27*d + 11*d 