5 + 885. Let v(u) be the third derivative of -2/3*u**3 + 0 + 16*u**2 - 1/30*u**6 + 1/15*u**l + 1/6*u**4 + 0*u. Suppose v(p) = 0. What is p?
-1, 1
Let f be -2 + -14*((-198)/(-42) - 5). Suppose f*w = 6, 28 = -4*d + w + 25. Factor 6*r**3 + 9/2*r**4 + d*r + 0 - 6*r**2.
3*r**2*(r + 2)*(3*r - 2)/2
Let j(c) be the first derivative of -c**6/2700 + c**4/20 - c**3/3 + 31*c**2 - 23. Let u(g) be the third derivative of j(g). Suppose u(t) = 0. Calculate t.
-3, 3
Let a(n) be the first derivative of n**6/6 - 4*n**5/5 - 13*n**4/2 + 32*n**3/3 + 25*n**2/2 - 28*n - 9236. Determine w, given that a(w) = 0.
-4, -1, 1, 7
Let q be ((-8)/(-6))/((-7)/(-84)). Let h = q - 13. Determine x so that 6*x**3 - 3*x - h - 3*x**5 + 32*x**2 - 2*x**4 - 26*x**2 - x**4 = 0.
-1, 1
Let h(i) be the first derivative of -4*i**6/45 + 46*i**5/75 - 7*i**4/5 + 56*i**3/45 - 2*i**2/15 - 2*i/5 - 1858. Solve h(o) = 0.
-1/4, 1, 3
Let f(j) be the third derivative of -2/3*j**3 + 0 + 7/48*j**4 + 1/120*j**5 + 0*j + 18*j**2. What is c in f(c) = 0?
-8, 1
Let r be 2/(-33)*((-11715)/132 - -86). Let r*l + 1/6*l**2 - 1/3 = 0. What is l?
-2, 1
Let i(j) be the third derivative of -115*j**2 + 0 - 2/5*j**5 + 0*j - 256/9*j**3 + 1/90*j**6 + 16/3*j**4. Factor i(z).
4*(z - 8)**2*(z - 2)/3
Let k = 943171 + -943166. Factor 0 + 0*v**2 + 4/21*v**k + 0*v + 2/7*v**4 + 2/21*v**3.
2*v**3*(v + 1)*(2*v + 1)/21
Let l(z) be the third derivative of -z**8/1008 - 131*z**7/630 + 53*z**6/72 - 133*z**5/180 - 2886*z**2 - z. Factor l(x).
-x**2*(x - 1)**2*(x + 133)/3
Let o(n) = -4*n**2 - 93*n - 20. Let u be o(-23). Factor -2 + 8*b**3 - 3*b + 4*b**3 + 0*b**3 - 8*b**u + 3.
(b + 1)*(2*b - 1)**2
Let v = -75989/650 + 5953/50. Solve v*m**2 + 2/13*m**3 + 88/13*m + 80/13 = 0 for m.
-10, -2
Let p be 12/9*-1*(-33)/22. Let -8*n + 5*n**4 - 4 + 0 - 155*n**2 + n**5 + 7*n**3 + 154*n**p = 0. What is n?
-2, -1, 1
Let y be -1 + (4/2 - -1) + (12 - 10). Let m = 815 + -2437/3. Factor 2*g**3 - 1/3*g**y - m*g**2 + 3 - 2*g.
-(g - 3)**2*(g - 1)*(g + 1)/3
Let c(p) be the second derivative of p**7/63 - 79*p**6/15 + 4561*p**5/10 + 42481*p**4/18 + 14320*p**3/3 + 4800*p**2 - 3564*p + 2. Factor c(a).
2*(a - 120)**2*(a + 1)**3/3
Let 313*c + 1012*c**3 + 260*c**2 - 4*c**4 + 519*c + 1776*c**2 + 188*c = 0. What is c?
-1, 0, 255
Let m(n) = -n**2 + 8*n - 1. Let d be m(7). Suppose d*x - 30 = -4*x. Factor -4*h**x - 35*h**2 + 3 - h**3 - 28 - 27*h - 28*h.
-5*(h + 1)**2*(h + 5)
Let i(l) be the first derivative of 2*l**3/39 - 2114*l**2/13 + 2234498*l/13 + 2469. Factor i(f).
2*(f - 1057)**2/13
Let u(b) = -b + 22. Let d be u(22). Let p(t) be the first derivative of -4/9*t**3 + 7 + d*t**4 + 0*t + 1/18*t**6 + 0*t**2 + 1/5*t**5. Factor p(j).
j**2*(j - 1)*(j + 2)**2/3
Let w(k) be the third derivative of -1/112*k**8 + 1/70*k**7 - 1/4*k**5 - 237*k**2 + 0*k**3 + 1/4*k**4 + 0*k + 3/40*k**6 + 0. Find i such that w(i) = 0.
-2, 0, 1
Let l(u) be the third derivative of u**9/60480 - u**8/960 - 37*u**5/12 + 254*u**2. Let t(f) be the third derivative of l(f). Suppose t(b) = 0. Calculate b.
0, 21
Let g(i) be the first derivative of -i**6/180 + 13*i**5/30 - 4*i**4 + 163*i**3/3 + 2*i - 99. Let c(q) be the third derivative of g(q). Let c(o) = 0. What is o?
2, 24
Let x(d) be the third derivative of -d**6/180 + d**4/12 - 167*d**3/6 + 133*d**2. Let t(z) be the first derivative of x(z). Factor t(b).
-2*(b - 1)*(b + 1)
Let a(o) be the second derivative of -o**5/35 - 5*o**4/21 + 4*o**3/3 - 28*o + 18. Factor a(x).
-4*x*(x - 2)*(x + 7)/7
Let t(l) be the first derivative of -l**7/126 + 7*l**6/90 - l**5/4 + 13*l**4/36 - 2*l**3/9 + 62*l - 17. Let a(r) be the first derivative of t(r). Factor a(c).
-c*(c - 4)*(c - 1)**3/3
Let r(k) = 3*k**3 + 183*k**2 - 1218*k - 38142. Let i(c) = c**3 + 2*c**2 + c + 1. Let y(x) = -6*i(x) + r(x). Determine u, given that y(u) = 0.
-11, 34
Let t(m) be the second derivative of m**4/18 - 167*m**3/9 - 56*m**2 - 4690*m. Factor t(d).
2*(d - 168)*(d + 1)/3
Let u(j) be the third derivative of j**6/6 + 323*j**5/12 - 135*j**4/8 - 2941*j**2. Determine a, given that u(a) = 0.
-81, 0, 1/4
Let j(f) be the second derivative of -f**6/285 - 4*f**5/95 + 3*f**4/38 - 2*f - 50. Let j(v) = 0. What is v?
-9, 0, 1
Let w(n) = -n**2 - 11*n + 300. Let p(t) = -2*t**2 - 25*t + 595. Let o(q) = -6*p(q) + 13*w(q). Factor o(k).
-(k - 22)*(k + 15)
Suppose 2*u - 3*u - 9 = -g, -9 = -5*g - 4*u. Let 50 + 58*l - 37*l + 45*l**3 + g*l**4 + 114*l + 125*l**2 = 0. Calculate l.
-5, -2, -1
Let w(p) = -6*p**4 - 18*p**3 + 596*p**2 - 1160*p - 9172. Let n(k) = -k**4 + k**3 + k**2 - 2*k + 11. Let x(l) = -4*n(l) + w(l). Factor x(f).
-2*(f - 8)**2*(f + 3)*(f + 24)
Let m(w) = 4*w**3 - 34*w**2 - 26*w - 6. Let r(c) = -c**2 + 25*c - 25. Let h be r(24). Let l(g) = -g**2 - 3*g + 1. Let u(o) = h*m(o) - 6*l(o). Factor u(z).
-4*z*(z - 11)*(z + 1)
Suppose 53*b + 3*y = 57*b - 1316, 0 = -4*b + 5*y + 1308. Let q be (-13)/(-12) + 83/b. Determine a, given that 0*a + q + 1/3*a**4 - 5/3*a**2 + 0*a**3 = 0.
-2, -1, 1, 2
Let j(p) be the second derivative of -p**4/96 + 709*p**3/12 - 502681*p**2/4 - 1608*p + 1. Find w, given that j(w) = 0.
1418
Let s(w) be the second derivative of w**4/15 + 398*w**3/15 - 804*w**2/5 - 2189*w. Factor s(l).
4*(l - 2)*(l + 201)/5
Let o(c) be the second derivative of -c**4/3 - 67*c**3/12 - 6*c**2 - 1544*c. Let o(y) = 0. Calculate y.
-8, -3/8
Let z(f) be the second derivative of -f**7/21 - 38*f**6/15 + 9*f**5/2 + 115*f**4/3 - 164*f**3/3 - 312*f**2 - 3445*f. Suppose z(q) = 0. What is q?
-39, -2, -1, 2
Let s(n) = 36*n**2 - 509*n + 75. Let q be s(14). Let u(r) be the third derivative of 0*r + 5/66*r**4 - 1/330*r**q - 25/33*r**3 - 23*r**2 + 0. Factor u(p).
-2*(p - 5)**2/11
Suppose -3*w - 3*h = 78, -8*h + 10*h + 102 = -4*w. Let p be 90/w - 8*2/(-4). Factor 0 - 2/5*k**2 - p*k.
-2*k*(k + 1)/5
Let m(u) be the first derivative of -1/33*u**3 + 2/11*u**2 - 1/33*u**4 + 5*u + 1/110*u**5 + 7. Let v(n) be the first derivative of m(n). Factor v(w).
2*(w - 2)*(w - 1)*(w + 1)/11
Find b, given that -15*b**2 - 3*b**4 - 380*b**3 + 18 + 235*b**3 + 130*b**3 + 15*b = 0.
-3, -2, -1, 1
Suppose 5*i + 59 = 3*u, -u + 46 = u - 2*i. Let d be ((-4)/(-8))/((-3)/(-12)). Factor -6*z - 9*z - 12*z**2 - 13*z**2 + u*z**d.
3*z*(z - 5)
Suppose -p = -k - 1977, -40*k = -37*k - 4*p + 5936. Let x = k - -15779/8. Find y such that 9/8 + 15/8*y - 3/8*y**3 + x*y**2 = 0.
-1, 3
Suppose 16*z - 14*z - 48 = 0. Let -31368*v**2 - 48*v - 336 + 31382*v**2 - v**3 - z + 3*v**3 = 0. What is v?
-6, 5
Let s be (9 - 11)/((4/1062)/(-1)). What is u in -s*u + 25*u**2 + 1182*u - 496*u + 30 = 0?
-6, -1/5
Suppose 0 = -5*i - 5, -5*i = -2*h + 2 + 11. Factor 16*y**3 - h*y**2 + 0*y**2 - 6*y**2 - 4*y**2 - 4*y**4 - 6*y**2 + 8*y.
-4*y*(y - 2)*(y - 1)**2
Let z be 3 + ((-12)/(-54) - 11/9). Let h be (-1)/(-1)*(-7 - -9). Solve -16 - 3*p**h + 4*p**2 + 4*p**z - p**2 = 0.
-2, 2
Let o(i) be the third derivative of -5*i**8/112 - 19*i**7/42 - 11*i**6/24 + 17*i**5/4 + 55*i**4/12 - 100*i**3/3 - i**2 - 476*i. Find q, given that o(q) = 0.
-5, -2, -4/3, 1
Let d(x) be the first derivative of 1/6*x**4 + 58 + 5/9*x**2 - 1/45*x**5 - 1/3*x - 4/9*x**3. Factor d(v).
-(v - 3)*(v - 1)**3/9
Let v(h) = h**2 + 150*h - 459. Let f be v(3). Factor -21/4*b + f - 3/4*b**2.
-3*b*(b + 7)/4
Let z(g) = 837*g**2 + 16*g + 63. Let x(q) = 2*q**2 + 2*q + 7. Let r(v) = -36*x(v) + 4*z(v). Factor r(l).
4*l*(819*l - 2)
Determine c so that 0*c**2 + 0*c + 483936*c**3 + 0 + 3/2*c**5 - 1704*c**4 = 0.
0, 568
Let k(v) = -v**2 + 1112*v - 2265. Let j(a) = -4*a**2 + 3892*a - 7928. Let g(x) = 9*j(x) - 32*k(x). Let g(w) = 0. Calculate w.
-141, 2
Factor -1238/3 - 1/2*s**2 - 1858/3*s.
-(s + 1238)*(3*s + 2)/6
Let -14/3*i**3 + 0 + 7/3*i**4 + 8/3*i**2 + 0*i - 1/3*i**5 = 0. What is i?
0, 1, 2, 4
Solve 232/13*i + 2/13*i**2 - 472/13 = 0.
-118, 2
Suppose 136 = 4*f - 4*z - 20, -2*f = 5*z - 113. Suppose f*s - 40*s = 16. What is k in -24*k**2 + 7*k**3 - 7*k + 49/2 - 1/2*k**s = 0?
-1, 1, 7
Let s(l) be the second derivative of 11*l**6/50 + 1029*l**5/100 - 78*l**4/5 - 386*l**3/5 - 192*l**2/5 - 162*l + 4. Determine x so that s(x) = 0.
-32, -1, -2/11, 2
Let u(z) be the first derivative of 2*z**5/3 + 64*z**4/3 + 202*z**3/3 + 88*z**2/3 - 184*z/3 + 1125. Suppose u(c) = 0. What is c?
-23, -2, -1, 2/5
Factor 0 + 1/2*q + 8*q**2.
q*(16*q + 1)/2
Let r(g) = g**5 - 13*g**4 - 5*g*