0. Factor 0*s**3 + 0 - 3/4*s**x + 1/4*s**4 + o*s.
s*(s - 1)**2*(s + 2)/4
Let u(q) be the third derivative of 1/420*q**7 + 0*q**3 - 1/60*q**6 + 0*q**4 - 1/30*q**5 + 2*q + 1/672*q**8 + 0 - 10*q**2. Find h, given that u(h) = 0.
-2, -1, 0, 2
Let d(f) be the second derivative of 11*f**6/135 - 29*f**5/18 + 455*f**4/54 - 125*f**3/9 + 6*f**2 + 4979*f + 1. Determine u so that d(u) = 0.
2/11, 1, 3, 9
Let q(k) be the second derivative of -4 - k + k**3 + 1/6*k**4 - 10*k**2. Solve q(u) = 0 for u.
-5, 2
Let y(h) = 5*h - 4*h + 3*h - 2*h + 3. Let q be y(0). Let -2*n**2 + 6*n**3 - 9*n**3 + 2*n**q = 0. Calculate n.
-2, 0
Let 0 - 115/4*r**2 + 75*r + 5/4*r**3 = 0. What is r?
0, 3, 20
Let z(b) = 57*b**3 - 681*b**2 + 2526*b + 780. Let d(r) = 2*r**3 - 2*r**2 - r. Let t(s) = -18*d(s) + z(s). Factor t(f).
3*(f - 26)*(f - 5)*(7*f + 2)
Suppose -255460 = -3*a + 39584. Factor 0*r**4 - 98348*r**2 + 12*r - 9*r**3 + a*r**2 - 3*r**4.
-3*r*(r - 1)*(r + 2)**2
Let h be -4 + 2 - 108558/(-47439). Let j = h + -2/753. Factor -8/7 - 24/7*o - j*o**4 - 26/7*o**2 - 12/7*o**3.
-2*(o + 1)**2*(o + 2)**2/7
Solve 63/5*s**3 + 16/5*s**4 - 16/5*s**2 + 0 - 64/5*s + 1/5*s**5 = 0.
-8, -1, 0, 1
Let s(w) be the first derivative of 5*w**4/4 + 700*w**3/3 + 26465*w**2/2 + 134670*w + 1830. Factor s(p).
5*(p + 6)*(p + 67)**2
Let h(k) be the third derivative of 9/160*k**6 + 0 + 11/32*k**4 + 71*k**2 + 0*k + 0*k**3 + 1/280*k**7 - 21/80*k**5. Let h(n) = 0. What is n?
-11, 0, 1
Let f = -9686/3 + 19393/6. Let t(m) be the third derivative of 0*m + 28*m**2 - m**4 - f*m**3 - 1/20*m**5 + 0. Factor t(q).
-3*(q + 1)*(q + 7)
Let 490496/15*v - 65536/15 + 14264/15*v**4 - 1171972/15*v**2 + 56/15*v**5 + 899102/15*v**3 = 0. What is v?
-128, 2/7, 1/2
Let i(k) be the third derivative of k**7/490 + k**6/40 + 11*k**5/140 + 5*k**4/56 - 1867*k**2. Factor i(g).
3*g*(g + 1)**2*(g + 5)/7
Let q(h) be the second derivative of -h**6/10 - 213*h**5/20 + 3*h**4/4 + 215*h**3/2 + 213*h**2 + 141*h. Solve q(o) = 0 for o.
-71, -1, 2
Let k = 12493/266 + -1763/38. Factor -2/7*c**4 - k*c**2 + 0*c + 6/7*c**3 + 0.
-2*c**2*(c - 2)*(c - 1)/7
Let c(p) = 505*p - 15653. Let t be c(31). Factor 2/9*j**t - 10/9*j + 4/3.
2*(j - 3)*(j - 2)/9
Let p(x) be the third derivative of -11*x**6/200 - 109*x**5/25 - 59*x**2 - 5*x. Determine u so that p(u) = 0.
-436/11, 0
Let u(t) be the first derivative of -5*t**8/1008 - t**7/42 - t**6/24 - t**5/36 + t**2/2 + 24*t - 40. Let p(b) be the second derivative of u(b). Factor p(z).
-5*z**2*(z + 1)**3/3
Let i = 41 - 32. Suppose -1 = -x - z + 4, x + 2*z = i. Let p(s) = -s**2. Let o(q) = -3*q**3 + 12*q**2. Let c(b) = x*o(b) + 6*p(b). Factor c(k).
-3*k**2*(k - 2)
Factor 14/13*n - 4/13 + 10/13*n**3 - 2/13*n**4 - 18/13*n**2.
-2*(n - 2)*(n - 1)**3/13
Let k(n) be the second derivative of n**4/6 - 19*n**3/2 - 29*n**2/2 + 6*n. Let g be k(29). Determine u so that 0*u + 2/7*u**2 + g*u**3 + 0 - 2/7*u**4 = 0.
-1, 0, 1
Suppose -3*j - 174 = -5*d, 4*d = -0*d - 2*j + 148. Suppose -w**3 - 3*w**4 - 2*w - d*w**5 + 3*w**2 + 37*w**5 + 2*w**3 = 0. What is w?
-1, 0, 1, 2
Let z(a) = -5*a**3 - 176*a**2 - 341*a - 202. Let l(s) = -21*s**3 - 706*s**2 - 1366*s - 817. Let c(f) = -4*l(f) + 17*z(f). Find d, given that c(d) = 0.
-166, -1
Let m(w) be the first derivative of w**4/9 + 808*w**3/27 - 1633. Factor m(v).
4*v**2*(v + 202)/9
Determine b, given that 81125*b**2 - 26865620 + 94006490*b + 35/2*b**3 = 0.
-2318, 2/7
Let t = 440 - 247. Let q = t - 148. Factor 2*o**2 + q*o + 195 + 197 - 16*o + 27*o.
2*(o + 14)**2
Factor -1/4*m**3 + 1/2*m**2 + 35/2 + 73/4*m.
-(m - 10)*(m + 1)*(m + 7)/4
Let m(b) = -17*b - 98. Let v be m(-6). Let q(a) = 11*a**2 + 37*a - 40. Let i(y) = 17*y**2 + 36*y - 41. Let s(r) = v*i(r) - 6*q(r). Factor s(o).
2*(o - 38)*(o - 1)
Let d = 97 - 143. Let s = d - -51. Suppose -s*v - 3*v + 7*v + v**2 + 0*v**2 = 0. What is v?
0, 1
Suppose 527 = 180*p - 37*p - 45. Find b such that 0 + 0*b + 3/4*b**p + 2*b**3 - 3/4*b**2 = 0.
-3, 0, 1/3
Let a(g) be the third derivative of -10*g**7/7 - 7*g**6 - 81*g**5/40 - g**4/4 - 36*g**3 - g**2 + 5. Let v(l) be the first derivative of a(l). Factor v(r).
-3*(r + 2)*(20*r + 1)**2
Factor -2/15*d**3 + 111392/15 - 112336/15*d + 946/15*d**2.
-2*(d - 236)**2*(d - 1)/15
Suppose 195*x - 1090 = 11364 - 1924. Let i(t) be the first derivative of -30*t**3 - 24*t + 21/4*t**4 + x*t**2 + 23. Let i(w) = 0. What is w?
2/7, 2
Let q(c) be the third derivative of 0*c**3 - 1/150*c**6 - 3/5*c**4 - 3*c + 77*c**2 + 0 - 11/75*c**5. Factor q(w).
-4*w*(w + 2)*(w + 9)/5
Let g = -4076001/8 + 1019007/2. Factor -g*j**3 + 231/2*j + 39 + 333/4*j**2.
-3*(j - 26)*(3*j + 2)**2/8
Let q(m) be the third derivative of 0*m + 0*m**3 + 5/24*m**4 - 1/24*m**6 - 63*m**2 + 0*m**5 - 2. Factor q(b).
-5*b*(b - 1)*(b + 1)
Let k(j) = j**3 - 9*j**2 + 10*j - 12. Let f be k(8). Factor 19*q**4 - 8*q**2 - 32*q**3 + 68*q**2 - 15*q**f.
4*q**2*(q - 5)*(q - 3)
Let r(h) be the first derivative of h**6/1800 - h**5/300 - h**4/8 - 11*h**3 + 34. Let b(c) be the third derivative of r(c). Factor b(i).
(i - 5)*(i + 3)/5
Let q be -1*2*(55/(-10) + 4). Suppose 0 = 148*n - 375 - 69. What is y in 27/2*y - 6*y**q + n + 9/2*y**2 = 0?
-1, -1/4, 2
Let u(c) = -27*c**2 + 3*c + 111. Let p(s) = -35*s**2 + s + 108. Let l(y) = 3*p(y) - 4*u(y). Find d such that l(d) = 0.
-5, 8
Let z be (0 - (3 - 4)) + (-14)/11200*796. Let p(q) be the third derivative of 1/100*q**5 + 0 - 4*q**2 - 2/5*q**3 - z*q**6 + 1/10*q**4 + 0*q. Factor p(l).
-3*(l - 2)*(l - 1)*(l + 2)/5
Let 52/7*r**4 + 0*r + 6/7*r**5 + 0 - 4*r**2 + 66/7*r**3 = 0. What is r?
-7, -2, 0, 1/3
Let l = 49 + 902. Let f = -8549/9 + l. Suppose -2/9*p**5 + f*p - 8/9*p**4 - 8/9*p**3 + 4/9*p**2 + 4/9 = 0. What is p?
-2, -1, 1
Let d(z) = 35*z**2 + 4*z + 3. Let k(x) = -71*x**2 - 10*x - 7. Let u(y) = y**3 - 47*y**2 - 98*y - 3. Let l be u(49). Let w(a) = l*k(a) - 7*d(a). Factor w(f).
-2*f*(16*f - 1)
Let u(n) be the first derivative of n**3/36 + 2095*n**2/12 + 4389025*n/12 - 2232. Factor u(b).
(b + 2095)**2/12
Let c(p) be the second derivative of -19*p**4/72 - 31*p**3/6 - 45*p**2/4 - 4*p - 85. Factor c(z).
-(z + 9)*(19*z + 15)/6
Let r = 535 - 559. Let h = r - -36. What is n in h*n + 0 - 54*n**2 + 243/4*n**3 = 0?
0, 4/9
Let l(a) = -168*a + 2522. Let j be l(15). Let o(v) be the third derivative of 0 + 1/2*v**4 + 29*v**j + 0*v + 8/3*v**3 + 1/30*v**5. Factor o(f).
2*(f + 2)*(f + 4)
Let r(v) be the first derivative of -4*v**5/5 - 7*v**4 + 76*v**3/3 + 14*v**2 - 72*v + 323. Determine u so that r(u) = 0.
-9, -1, 1, 2
Let i(p) be the third derivative of 0*p - 1/9*p**3 + 1/18*p**4 + 0 - 14*p**2 - 1/90*p**5. Solve i(c) = 0 for c.
1
Let p(h) = 5*h**3 + 8*h**2 - 102*h + 148. Let a(x) = -x**2 - x + 14. Let t(v) = -2*a(v) + p(v). Suppose t(f) = 0. Calculate f.
-6, 2
Let b(q) = 75*q**3 - 1107*q**2 + 5424*q - 8748. Let d(g) = -150*g**3 + 2213*g**2 - 10847*g + 17496. Let t(p) = -7*b(p) - 3*d(p). Solve t(y) = 0 for y.
4, 27/5
Let w(l) = -16*l**2 - 5*l + 8. Let g(z) = -z**2 - 2*z + 4. Let n(r) = r - 2. Let p(f) = -3*g(f) - 5*n(f). Let y(k) = 11*p(k) + 2*w(k). Let y(s) = 0. What is s?
-3, 2
Let t(z) be the second derivative of 0 - 5/14*z**4 + 25/7*z**3 + 1/70*z**5 + 83*z - 125/7*z**2. Suppose t(a) = 0. Calculate a.
5
Let x(k) be the first derivative of 1/60*k**4 - 20 + 2/5*k**3 + 18/5*k**2 + 3*k. Let g(i) be the first derivative of x(i). Let g(h) = 0. What is h?
-6
Suppose 40*f - 7*f + 264 = 0. Let y be (-8 - 182/(-21)) + f/14. Factor -y*l + 2/21*l**2 + 0.
2*l*(l - 1)/21
Let n = 328125/2 - 164059. Determine u, given that n*u - 9/10 + 2/5*u**2 = 0.
-9, 1/4
Let 456/7 + 142/7*q**3 - 2/7*q**4 + 746/7*q**2 + 1058/7*q = 0. Calculate q.
-3, -1, 76
Suppose -2*k - 4 = 3*h + 1, -2*k = -3*h - 13. Let s(d) = -2*d - 22. Let q be s(-12). Let 2*g + 57*g**2 + k - 58*g**q - 3*g = 0. What is g?
-2, 1
Let k(r) = 22*r**2 - 13*r - 30. Let l be k(-4). Factor l + 7833 - 1966 - 2*d**2 + 96*d + 3*d**2 + 62*d.
(d + 79)**2
Let n(w) = -2*w**2 - 70*w + 13. Let r be n(-36). Let u be (r/(-15) + -4)/((-4)/24). Suppose 0*q + 0 - 2/5*q**4 + 2/5*q**5 - 2/5*q**3 + u*q**2 = 0. What is q?
-1, 0, 1
Let d(b) be the second derivative of -b**6/12 - b**5/4 + 5*b**4/8 + 5*b**3/3 - 19*b**2 - 4*b + 6. Let j(i) be the first derivative of d(i). Factor j(u).
-5*(u - 1)*(u + 2)*(2*u + 1)
Let r be 4*((-116)/(-64) + -1)/(66/264). L