the third derivative of 3*h**7/70 - 67*h**6/20 - 37*h**5/4 + 11*h**4/2 + 46*h**3 - 800*h**2. Suppose b(u) = 0. Calculate u.
-1, 2/3, 46
Let z be (-1)/10*-1*2 + (19778/(-310) - -82). Factor z*b - 2116/5 - 1/5*b**2.
-(b - 46)**2/5
Let u be (-854)/(-126) + -7 + 236338/(-171). Let c = -1382 - u. Suppose -10/19*w + 2/19*w**2 + 2/19*w**3 + c = 0. Calculate w.
-3, 1
Let m(t) = -2*t - 5. Let q be m(-4). Let s be (-27)/6 + q - -2. Suppose -3/2*r**2 + 0*r + r**3 + s = 0. Calculate r.
-1/2, 1
Let u(t) be the third derivative of t**7/4200 - t**6/400 - t**5/20 + 5*t**4/8 - t**3 - 265*t**2. Let n(w) be the second derivative of u(w). Factor n(q).
3*(q - 5)*(q + 2)/5
Let f(o) be the first derivative of o**6/21 + 2*o**5/5 + 11*o**4/14 - 2*o**3/3 - 12*o**2/7 + 1227. Let f(j) = 0. Calculate j.
-4, -3, -1, 0, 1
Factor -1/3*b**3 + 9604 - 9016/3*b - 193/3*b**2.
-(b - 3)*(b + 98)**2/3
Let r be 63/44 - ((-4845)/68)/(-57). Determine g, given that 2/11*g**3 + 2/11*g**4 + 0*g - 2/11*g**5 - r*g**2 + 0 = 0.
-1, 0, 1
Let q(l) be the first derivative of 4*l**3/21 - 18*l**2 - 1072*l/7 + 1871. Determine s so that q(s) = 0.
-4, 67
Let s(w) be the first derivative of w**5/5 - 11*w**4/4 - 4*w**3 + 58*w**2 + 176*w - 2196. Factor s(l).
(l - 11)*(l - 4)*(l + 2)**2
Let i(p) be the second derivative of -p**5/330 - 25*p**4/132 + 26*p**3/33 - 37*p**2/2 + 188*p. Let c(u) be the first derivative of i(u). Factor c(s).
-2*(s - 1)*(s + 26)/11
Let c = -25 + 28. Suppose c*o - 7*o = 2*q - 10, 5*q = 4*o + 25. Determine u, given that 2/9*u**3 + o - 8/3*u**2 + 8*u = 0.
0, 6
Let n(r) = -3*r**2 + 65*r - 27. Let l(s) = 8*s**2 - 188*s + 82. Let g(i) = 5*l(i) + 14*n(i). Determine w so that g(w) = 0.
-16, 1
Let g(c) be the third derivative of 11*c**7/210 + 251*c**6/120 + 191*c**5/12 - 5759*c**4/24 + 169*c**3 - c**2 - 2*c - 463. Factor g(k).
(k - 3)*(k + 13)**2*(11*k - 2)
Let x be 2/35*(32 - 36)/(-24). Let o(h) be the second derivative of 0*h**4 - 10*h + 0*h**2 + 0 + x*h**6 + 1/35*h**5 + 0*h**3. Factor o(i).
2*i**3*(i + 2)/7
Solve -1838*z**2 - 77*z**3 + 12571 - 55234*z + 5057 - 700 + 139506*z + 87*z**3 = 0.
-1/5, 92
Let u(c) be the third derivative of c**6/300 - 22*c**5/225 + 49*c**4/60 + 6*c**3/5 + 2*c**2 + 6*c - 79. Let u(o) = 0. What is o?
-1/3, 6, 9
Suppose -36 = 8*y - 5*y. Let m(q) = -q**2 - 45*q**3 - 49*q**3 + 95*q**3. Let w(c) = -4*c**3 + 20*c**2 + 22*c + 10. Let v(f) = y*m(f) - 2*w(f). Factor v(s).
-4*(s + 1)**2*(s + 5)
Let u(a) be the first derivative of -28*a**3 + 105*a**2/2 + 33*a - 59. Let f(x) = -12*x**2 + 15*x + 5. Let z(r) = -27*f(r) + 4*u(r). Factor z(v).
-3*(v - 1)*(4*v - 1)
Let p(j) be the second derivative of 3*j**5/20 - 5*j**4 + 34*j**3 - 96*j**2 + 615*j. Determine v so that p(v) = 0.
2, 16
Let y(m) = m**2 - 218*m - 165. Let r(b) = -b**2 + 238*b + 167. Let f(q) = -3*r(q) - 4*y(q). Determine i, given that f(i) = 0.
-1, 159
Let l(n) = -n**3 + 127*n**2 + 42*n. Let o(p) = -p**3 + 91*p**2 + 41*p. Let v(k) = 3*l(k) - 4*o(k). Factor v(c).
c*(c - 2)*(c + 19)
Let z(x) = -33*x**2 + 5580*x - 5521. Let w(r) = -5*r**2 + 929*r - 920. Let y(f) = 13*w(f) - 2*z(f). Factor y(b).
(b - 1)*(b + 918)
Let d(h) be the second derivative of 3*h**5/20 + h**4 - 19*h**3/2 + 21*h**2 - 181*h. Find a such that d(a) = 0.
-7, 1, 2
Let x be 6/(-10) - 1776/(-60). Suppose 8 = -25*i + x*i. Solve 9*w + 33*w + 3*w**i + 24*w + 363 = 0 for w.
-11
Let g(c) = 35*c + 575*c**4 + 14*c**2 + 1280*c**3 + 55*c + 741*c**2. Let h(l) = -82*l**4 - 183*l**3 - 108*l**2 - 13*l. Let m(p) = -3*g(p) - 20*h(p). Factor m(w).
-5*w*(w + 1)**2*(17*w + 2)
Let s(y) be the third derivative of 9*y**7/70 + 5*y**6/2 + 263*y**5/20 + 7*y**4/2 + 6358*y**2. Factor s(v).
3*v*(v + 4)*(v + 7)*(9*v + 1)
Let o(s) be the second derivative of -s**5/70 - 41*s**4/42 + 59*s**3/7 - 135*s**2/7 + 4144*s. Determine y so that o(y) = 0.
-45, 1, 3
Suppose -6*c = 5*x - 10, 3*x + 3*c - 6 = 2*c. Let y(s) be the second derivative of -4/3*s**3 - 1/3*s**4 + 0*s**x + 0 - 15*s. Let y(b) = 0. Calculate b.
-2, 0
Let c(m) be the first derivative of m**4/18 - 46*m**3/9 + 15*m**2 - 134*m/9 + 8. Solve c(g) = 0.
1, 67
Let y(r) = -r**3 + 25*r**2 + 2*r - 80. Let b be y(25). Let u be 20/(-32)*1/(b/36). Solve 7/4*w - u*w**2 - 2*w**3 + w**4 - 1/2 = 0.
-1, 1/2, 2
Let u(c) be the first derivative of c**3 - 60*c**2 + 1200*c + 124. Factor u(s).
3*(s - 20)**2
Let k(o) be the third derivative of 5*o**8/336 - 53*o**7/6 + 123*o**6/4 + o**5/6 - 3695*o**4/24 + 615*o**3/2 - 5315*o**2. Factor k(z).
5*(z - 369)*(z - 1)**3*(z + 1)
Let x be (7 - 5) + (-1 - -1). Let p be x/(-9) - 29/(-9). Factor 11 + 4*i**p + 0*i**3 - 11 - 16*i**2.
4*i**2*(i - 4)
Let l(z) = z**4 + z**3 + z + 1. Let r(b) = 4*b**4 - 2*b**3 + 4*b**2 + 3*b + 3. Let d(q) = 3*l(q) - r(q). Factor d(m).
-m**2*(m - 4)*(m - 1)
Let c be (-4428)/410 - -2*(-2 - -8). Factor 0 + 9/5*m**2 + c*m**3 + 4/5*m + 1/5*m**4.
m*(m + 1)**2*(m + 4)/5
Suppose 2*d = 2*l + 21 + 101, 2*d - l = 118. Suppose 52*n**2 + 173*n + 340 - d*n**2 + 162*n = 0. What is n?
-1, 68
Let w(r) be the third derivative of -r**5/60 + 5*r**4/24 + r**3/3 + 170*r**2. Let a be w(0). Solve -2/3*q**3 + 2/3 - 2*q + 2*q**a = 0 for q.
1
Let u(x) = -x**3 - 57*x**2 - 79*x + 189. Let p be u(-55). Let b = 10614/7 + p. Factor 0 + b*f**3 + 2/7*f + 4/7*f**2.
2*f*(f + 1)**2/7
Let v = 2263 - 22629/10. Let l(m) be the third derivative of -v*m**6 + 1/70*m**7 + 0 + 0*m - 1/2*m**4 + 12*m**2 + 3/10*m**5 + 1/2*m**3. Factor l(o).
3*(o - 1)**4
Let l(j) = 17*j**3 + 587*j**2 + 7*j + 14. Let w(p) = -15*p**3 - 591*p**2 - 6*p - 12. Let s(k) = -6*l(k) - 7*w(k). Factor s(d).
3*d**2*(d + 205)
Let n(k) = -k**3 - 6*k**2 - 2*k + 11. Let v be n(-5). Let u be 3 - 5/(v + -1). Factor 24*y**3 + u*y + 0*y + 15*y**2 + 7*y**2 - 9*y**4 - 9*y**4.
-2*y*(y - 2)*(3*y + 1)**2
Let j(p) = p**2 + 2128*p + 14849. Let x be j(-7). Factor 74/3*z - 38/3 - 2/3*z**3 - 34/3*z**x.
-2*(z - 1)**2*(z + 19)/3
Let d = -7913130802/889 - -8901158. Let q = -10/127 - d. Factor q*n**4 + 0 + 2/7*n**5 - 16/7*n - 8/7*n**2 + 12/7*n**3.
2*n*(n - 1)*(n + 2)**3/7
Suppose 1987429 = -162*r + 1988887. Factor 53/6 + 1/6*w**2 - r*w.
(w - 53)*(w - 1)/6
Suppose 358*p**3 + 13792*p + 126*p**3 + 83317144*p**2 + 2496 - 83297916*p**2 = 0. Calculate p.
-39, -4/11
Let x(w) = -18*w - 606. Let f be x(0). Let t = -4240/7 - f. Suppose 1/7*s + 6/7*s**2 + 1/7*s**5 - 3/7*s**4 - 3/7 - t*s**3 = 0. Calculate s.
-1, 1, 3
Let x(c) = -c**2 - 9*c + 56. Let n be x(-13). Factor -20*o - 4*o**2 - 4*o + n*o + 9*o**2.
5*o*(o - 4)
Let x(f) be the second derivative of -32*f**6/15 + 392*f**5/5 - 51*f**4 - 612*f**3 - 864*f**2 - 1245*f. Solve x(u) = 0.
-3/4, 2, 24
Let c(w) be the first derivative of -w**4/12 + 254*w**3/9 + 511*w**2/6 + 256*w/3 + 4510. Find h, given that c(h) = 0.
-1, 256
Let t(w) = -3*w**3 - w**2 + 3*w + 11. Let l be t(-2). Let h(v) = v**2 - 17*v - 200. Let u be h(l). What is k in u*k - 8/5 - 2/5*k**3 + 6/5*k**2 = 0?
-1, 2
Let j(q) = q**2 - 4*q - 10. Let n = 29 + -23. Let o be j(n). Suppose o - 4 + 40*x**2 - 8*x - 48*x**2 = 0. What is x?
-1/2
Let i(a) be the first derivative of -2*a**3/3 - 43*a**2 + 276*a + 1152. Suppose i(p) = 0. What is p?
-46, 3
Solve 3949*h**2 + 3787*h**2 - 8268*h**2 - 944 - 20*h**3 - 1456*h = 0.
-118/5, -2, -1
Solve -13*n**2 + 9*n**3 - 2 - 18*n - 3*n**5 - 7*n**2 + 2 + 9*n**4 - n**2 = 0 for n.
-1, 0, 2, 3
Let l(a) be the second derivative of 1/48*a**4 + a**3 + 13*a - 25/8*a**2 - 3. Find u, given that l(u) = 0.
-25, 1
Let 1/2*k - 33 + 33*k**2 - 1/2*k**3 = 0. What is k?
-1, 1, 66
Let v = -27 + 27. Suppose -z - a + 4 = v, 2*z + 10*a - 5 = 5*a. Factor 4*s**3 - z*s**3 - 4*s**3 + s**3.
-4*s**3
Let a = -777250 + 3886253/5. Find y such that 357/5*y - 174/5*y**2 - a*y**3 - 36 = 0.
-60, 1
Suppose a + x = -a + 282, 5*a - 703 = -3*x. Suppose -a + 137 = -3*g. Find y such that 37*y**2 + 3*y**3 - 3*y**4 + y**5 - 19*y**2 - 19*y**g = 0.
0, 1
Let m(k) = 5*k**2 + 39*k + 846. Let t(x) = -13*x**2 - 117*x - 2580. Let y(n) = -11*m(n) - 4*t(n). Factor y(g).
-3*(g - 26)*(g + 13)
Let v(n) be the second derivative of -3*n**5/20 + 16*n**4 - 253*n**3/8 + 189*n**2/8 + 1182*n. Factor v(p).
-3*(p - 63)*(2*p - 1)**2/4
Let k be ((-3)/(54/(-4)))/(134 - 124115/927). Factor 32/7*b**4 + 0 + 0*b + 76/7*b**3 + 24/7*b**k.
4*b**2*(b + 2)*(8*b + 3)/7
Let p = -9109 + 9114. Let m(y) be the third derivative of 0 +