/42*d**4. Let x(c) be the second derivative of t(c). What is b in x(b) = 0?
-1
Let v be (-6)/15*(715/(-44))/13. Let r(f) be the first derivative of -1/6*f**2 + 0*f - v*f**4 - 1/18*f**6 + 8 - 4/15*f**5 - 4/9*f**3. Factor r(n).
-n*(n + 1)**4/3
Let o = -79392 - -79395. Solve 0 - 6/5*f + 1/5*f**o + 1/5*f**2 = 0 for f.
-3, 0, 2
Let k(o) be the second derivative of 5*o**7/42 - 14*o**6 + 608*o**5 - 22005*o**4/2 + 105705*o**3/2 - 98415*o**2 - o - 1471. What is r in k(r) = 0?
1, 2, 27
Let m(r) be the second derivative of -245/12*r**3 + 7*r - 5/2*r**2 - 3 - 5*r**4. Factor m(v).
-5*(v + 2)*(24*v + 1)/2
Let u(a) be the third derivative of 11/120*a**6 + 3/70*a**7 + 0*a + 0 - 11/24*a**4 - 7/60*a**5 + 63*a**2 - 1/3*a**3. Factor u(t).
(t - 1)*(t + 1)**2*(9*t + 2)
Let n(d) = 19*d**2 + 123*d - 91. Let u(y) = 3 - y**2 - 140 + 185*y + 30*y**2. Let f(b) = 7*n(b) - 5*u(b). Factor f(r).
-4*(r + 6)*(3*r - 2)
Let a(v) be the third derivative of v**7/7560 - v**6/108 + v**5/10 - 7*v**4/24 + 5*v**3/6 + 85*v**2. Let b(h) be the second derivative of a(h). Factor b(n).
(n - 18)*(n - 2)/3
Let n(w) be the second derivative of w**4/48 + 19*w**3/24 + 39*w**2/4 + 17*w + 8. Let n(r) = 0. What is r?
-13, -6
Let j be 1/((-104)/32 + 4). Let t(n) be the second derivative of 6*n + 3/5*n**5 + 0*n**2 + 2/15*n**6 - 2/21*n**7 - 5/3*n**4 + j*n**3 + 0. Factor t(v).
-4*v*(v - 1)**3*(v + 2)
Let k be (8/(-72)*51)/(8/(-16)) - 10/1. Factor 2/9*l**2 + 2 - k*l.
2*(l - 3)**2/9
Factor 0 - 1/5*v**2 - 14/5*v.
-v*(v + 14)/5
Let t be (((-37310)/84)/(-13))/((-7)/(-45)). Let m(o) be the first derivative of -555/7*o**3 - 3/5*o**5 + 321/28*o**4 + t*o**2 - 750/7*o - 33. Solve m(v) = 0.
2/7, 5
Let h be 0 - (2 + 2 - 5). Let i(w) = w**5 - 11*w**4 - w**3 + 6*w**2 - 5*w. Let t(y) = y**4 + y**3. Let n(v) = h*i(v) + 5*t(v). Determine c, given that n(c) = 0.
-1, 0, 1, 5
Suppose 198 = 28*g - 6*g. What is i in g*i**2 + 9*i**2 - 22*i**2 + i**2 - 66*i - 363 = 0?
-11
Suppose -9*a**3 - 65*a**2 - 13*a**3 - 239*a + 305 + 10*a**3 + 11*a**3 = 0. Calculate a.
-61, -5, 1
Let y(v) be the second derivative of 1/2*v**4 + 1/45*v**6 + 2/3*v**2 + 1/6*v**5 + 7/9*v**3 + 31*v + 0. Let y(c) = 0. What is c?
-2, -1
Let t(g) be the third derivative of -g**6/30 + 14*g**5/15 - 41*g**4/6 - 112*g**3/3 + 3513*g**2. Factor t(y).
-4*(y - 8)*(y - 7)*(y + 1)
Let m = -7518 + 7520. Let d(a) be the first derivative of 12 + 1/24*a**6 + 50/3*a**3 + 4/5*a**5 + 45/8*a**4 + 125/8*a**m + 0*a. Determine u so that d(u) = 0.
-5, -1, 0
Factor -2*m**2 - 25 - 1/2*m**3 + 55/2*m.
-(m - 5)*(m - 1)*(m + 10)/2
Let t = 48/175 - 6/175. Let b(i) be the first derivative of 6/5*i**2 + 0*i - 6/5*i**3 + t*i**5 + 7 + 0*i**4. Factor b(v).
6*v*(v - 1)**2*(v + 2)/5
Let t(n) = -3*n**3 - 1145*n**2 + 11*n + 1125. Let o(p) = p**3 + 3*p**2 - 3*p + 2. Let k(u) = 4*o(u) + t(u). Factor k(r).
(r - 1133)*(r - 1)*(r + 1)
Factor -969/7*f**2 + 78732/7 - 3/7*f**3 - 77760/7*f.
-3*(f - 1)*(f + 162)**2/7
Let i = 67 + -61. Let 9*p + 3 - p**2 + 10*p + i - 11*p = 0. What is p?
-1, 9
Let d(t) be the second derivative of -37/100*t**5 + t + 47 + 8/15*t**3 - 1/30*t**6 + 0*t**2 + 13/30*t**4. Factor d(c).
-c*(c - 1)*(c + 8)*(5*c + 2)/5
Determine s so that -5/2*s**2 - 1125 + 475/2*s = 0.
5, 90
Suppose 0*x = 6*x + 18. Let y be 6/x*2/(-10). Factor 1/5*l**5 + 2*l**3 - y*l**2 + 7/5*l**4 - 1 - 11/5*l.
(l - 1)*(l + 1)**3*(l + 5)/5
Factor 338335 - 545*z**2 - 450*z**2 - z**3 - 748*z**2 - 760383*z - 242805 - 854171.
-(z + 1)*(z + 871)**2
Let q(n) be the second derivative of -1/9*n**4 + 0*n**3 - 1/15*n**5 + 6 + 4*n + 0*n**2. Factor q(d).
-4*d**2*(d + 1)/3
Let s = -40 + 40. Let p = 4 - s. Factor -10*c + 35*c**5 - 25*c**2 - 15*c**5 - 5*c**4 + 10*c**p - 15*c**3 - 15*c**5.
5*c*(c - 2)*(c + 1)**3
Let c(o) be the third derivative of o**8/84 - 122*o**7/35 + 2821*o**6/10 - 8281*o**5/15 + 416*o**2. Suppose c(b) = 0. What is b?
0, 1, 91
Let p(t) be the second derivative of 4*t**7/7 - 62*t**6/15 + 41*t**5/5 - 2*t**4 + 18*t - 39. Determine d, given that p(d) = 0.
0, 1/6, 2, 3
Let c be 6*-3*7/(-63). Factor 84*u**2 + 6*u + c*u + 4*u**3 + 4*u - 68*u**2.
4*u*(u + 1)*(u + 3)
Let l = 193451 + -580345/3. Find a, given that 2/3*a**5 - 4/3*a**2 - l*a**3 + 0 + 2*a + 4/3*a**4 = 0.
-3, -1, 0, 1
Let b(f) be the second derivative of f**5/150 + 11*f**4/10 + 160*f**3/3 - 500*f**2/3 - 7097*f. Factor b(x).
2*(x - 1)*(x + 50)**2/15
Let h(k) = k**4 + 100*k**3 + 465*k**2 - 1330*k - 9752. Let g(x) = 100*x**3 + 465*x**2 - 1330*x - 9740. Let t(s) = 4*g(s) - 5*h(s). Find l such that t(l) = 0.
-10, -7, 4
Let q(v) be the second derivative of v**3/2 - 26*v**2 + 173*v. Let f be q(18). Factor 1/8*r**f - 3/2*r + 9/2.
(r - 6)**2/8
Factor 1/2*d**5 - 192*d - 21/2*d**4 + 69*d**3 + 0 - 112*d**2.
d*(d - 8)**2*(d - 6)*(d + 1)/2
Let u = 1916 - 1892. Let a be u/(-96) + (-4)/((-288)/34). Solve -2*o**2 - a*o**4 + 8/3 - 4/3*o**3 + 8/9*o = 0.
-3, -2, 1
Let s(h) be the first derivative of h**5/390 + h**4/78 + h**3/39 + h**2 - 38*h - 76. Let o(r) be the second derivative of s(r). Let o(c) = 0. What is c?
-1
Let u be (6 - 19) + 9 - 4. Let v(r) = 39*r**2 + 90*r + 135. Let p(y) = -25*y**2 - 60*y - 90. Let l(m) = u*p(m) - 5*v(m). Suppose l(z) = 0. What is z?
-3
Let x(y) be the second derivative of -5*y**4/24 + 935*y**3/6 - 174845*y**2/4 + 247*y - 5. Factor x(j).
-5*(j - 187)**2/2
Suppose 24*b = -12*b + 72. Factor -81*d - 9*d**2 - 8*d**2 - 12*d**2 + 78 + 4*d**2 + 81*d**3 - 3*d**4 - 50*d**b.
-3*(d - 26)*(d - 1)**2*(d + 1)
Let s = -2077 + 3186. Let -454 + 714 + 74*r + r**2 + s = 0. Calculate r.
-37
Let q(j) be the second derivative of -j**6/105 - 461*j**5/35 - 211597*j**4/42 + 20284*j**3 - 30492*j**2 + 726*j. Let q(r) = 0. Calculate r.
-462, 1
Suppose 2*z - 14 = -2*x, 8*z = x - 238 + 231. Factor 0*j + 6/23*j**2 + z + 16/23*j**3 - 6/23*j**4.
-2*j**2*(j - 3)*(3*j + 1)/23
Factor 64*g**2 - 46*g**2 + 106*g**2 + 54*g**3 - 239*g + 323*g + 4*g**4 - 10*g**3.
4*g*(g + 1)*(g + 3)*(g + 7)
Let x(u) be the first derivative of u**4/12 + 8*u**3/9 - 58*u**2/3 + 64*u + 1718. Factor x(k).
(k - 6)*(k - 2)*(k + 16)/3
Determine b, given that 15*b**3 - 6*b**3 - 2356*b**2 + 2308*b**2 - 5*b**3 + 128*b = 0.
0, 4, 8
Let s(v) be the second derivative of 103*v - 1/30*v**6 - 4489/12*v**4 + 0 + 0*v**3 + 0*v**2 + 67/10*v**5. Factor s(o).
-o**2*(o - 67)**2
Factor 29/3*r**2 + 0*r - 1/3*r**3 + 0.
-r**2*(r - 29)/3
Let n = 153/1169 + 2/167. Suppose 6 = -3*a - 3*l, 2*a = -5*l + 48 - 58. Solve 0 + 0*p - n*p**2 + a*p**3 + 1/7*p**4 = 0.
-1, 0, 1
Let p(m) be the second derivative of m**7/105 - 58*m**6/25 - 264*m**5/25 - 53*m**4/3 - 59*m**3/5 + 278*m - 8. Suppose p(z) = 0. Calculate z.
-1, 0, 177
Let t be (-25)/10*24/(-30). Let o be ((-1)/2)/((-1)/10). Factor -11*m - 2*m**t - o*m + 20*m.
-2*m*(m - 2)
Let d(m) = -2*m**3 + 10*m**2 + 10*m - 46. Let w be 30/(-24)*4 + 10. Let f be d(w). Determine j so that -1/3*j**2 - 12 - f*j = 0.
-6
Suppose -13*o = -28*o + 525. Let t(k) = -k**2 - 139*k + 134. Let i(c) = -5*c**2 - 835*c + 805. Let l(f) = o*t(f) - 6*i(f). Factor l(b).
-5*(b - 28)*(b - 1)
Let d be (2/10)/(47/(-705)) + 172/44. Factor -d*w**2 + 46/11*w - 24/11.
-2*(w - 4)*(5*w - 3)/11
Suppose 2*p = -17*p + 171. Suppose p*o - 6*o + 2*a = 28, 4*o = -4*a + 44. Determine v, given that -15/2*v - o - 3/2*v**2 = 0.
-4, -1
Let n be 21/(-35) - (-1134)/210. Factor -9/5 + n*q - 18/5*q**2 + 3/5*q**4 + 0*q**3.
3*(q - 1)**3*(q + 3)/5
Suppose 3*s - 4*i - 2 = -8*i, 0 = -3*s - 2*i + 4. Suppose -8 - 54*t - s*t**3 - 31 + 3 - 20*t**2 = 0. Calculate t.
-6, -3, -1
Let k(l) be the second derivative of -41*l - 20/3*l**3 - 3 + 16*l**2 + 4/5*l**5 - l**4 + 2/15*l**6. Factor k(j).
4*(j - 1)**2*(j + 2)*(j + 4)
Let l be 6/27 + 2/(-9). Let x be (-12)/(-15)*5/2. Solve -4*i**x + 9*i**3 + l*i**2 - 5*i**3 = 0.
0, 1
Suppose -272/7*j + 1024/7 - 636/7*j**2 + 2/7*j**4 - 118/7*j**3 = 0. Calculate j.
-4, -2, 1, 64
Let i = -241 - -286. Let o be (-24)/(-10) + (2 - 108/i). Factor 0*v**3 + 48/5 + 3/5*v**4 + 0*v - 24/5*v**o.
3*(v - 2)**2*(v + 2)**2/5
Suppose 0 + 4/9*y**2 + 476/9*y = 0. Calculate y.
-119, 0
Let c(n) = 39*n**3 - 219*n**2 - 183*n + 1065. Let a(s) = -3*s**3 + 17*s**2 + 14*s - 82. Let q(j) = 27*a(j) + 2*c(j). Factor q(l).
-3*(l - 7)*(l - 2)*(l + 2)
Let u = -113165/3 - -1244821/33. Solve -u*v**3 + 6/11*v**2 + 10/11 + 18/11*v = 0.
-1, 5
Let d = -38773 + 38785.