 derivative of h**6/150 - 1083*h**5/25 - 2167*h**4/10 - 6502*h**3/15 - 867*h**2/2 + 378*h - 1. Factor m(y).
(y - 4335)*(y + 1)**3/5
Let l(d) = -6*d + 149. Let r be l(-6). Factor 8*v**3 - 5*v**3 - 3*v**4 + 8 + 2*v**2 + 173*v + 2*v**4 - r*v.
-(v - 2)**2*(v - 1)*(v + 2)
Let r = 528292 + -528290. Factor 0 - 2/5*z**3 + 8/5*z**r - 6/5*z.
-2*z*(z - 3)*(z - 1)/5
Let n(v) be the first derivative of -v**5/20 - 9*v**4/4 - 16*v**3 + 113*v**2/2 - 9. Let l(c) be the second derivative of n(c). Factor l(o).
-3*(o + 2)*(o + 16)
Let p(a) be the third derivative of -1/12*a**5 + 95/6*a**3 + 0*a - 15/4*a**4 - 2 - 60*a**2. Let p(g) = 0. Calculate g.
-19, 1
Factor -7456/7*o + 384/7 + 12482/7*o**3 + 34918/7*o**2.
2*(o + 3)*(79*o - 8)**2/7
Let i(l) be the second derivative of 0 - 1/4*l**5 + 5/3*l**3 - 5/12*l**4 - 74*l + 0*l**2. Factor i(w).
-5*w*(w - 1)*(w + 2)
Let m(y) be the first derivative of 134 - 42*y**3 - 16*y**2 + 128*y + 8*y**4 - 2/5*y**5. Factor m(q).
-2*(q - 8)**2*(q - 1)*(q + 1)
Let d(h) = -h**3 + 16*h**2 + 1307*h - 90. Let u be d(45). Factor 3/4*x**2 + u + 21/4*x.
3*x*(x + 7)/4
Let g = -9091 + 681826/75. Let j(x) be the third derivative of 0 + g*x**5 + 0*x - 20*x**2 + 0*x**3 + 1/10*x**4. Determine y so that j(y) = 0.
-3, 0
Let n(r) = -113*r**2 + 56724*r + 1006. Let u be n(502). Factor -1/10*p**u + 29/10*p + 0.
-p*(p - 29)/10
Let s(n) be the second derivative of -17 - 5/12*n**4 + 0*n**2 + 1/6*n**6 + 0*n**5 + 0*n**3 - 4*n. Factor s(i).
5*i**2*(i - 1)*(i + 1)
Suppose 281 = 2*r + 74*r - 251. Let j(c) be the third derivative of 0 + 1/120*c**5 + 0*c**4 + 1/420*c**r + 0*c**3 + 1/120*c**6 - 18*c**2 + 0*c. Factor j(q).
q**2*(q + 1)**2/2
Let v(w) be the second derivative of -w**5/240 - w**4/16 - 3*w**3/8 + 9*w**2 - 70*w - 1. Let r(m) be the first derivative of v(m). Factor r(i).
-(i + 3)**2/4
Factor -32*g**2 + 1/4*g**3 + 189/2 + 249/4*g.
(g - 126)*(g - 3)*(g + 1)/4
Let w(k) be the second derivative of -k**7/294 + 2*k**6/105 + k**5/10 - 6*k**4/7 + 9*k**3/14 + 54*k**2/7 + 236*k - 16. Factor w(z).
-(z - 3)**3*(z + 1)*(z + 4)/7
Let q(u) be the third derivative of u**8/1176 - 2*u**7/245 - 9*u**6/35 + 23*u**5/21 - 39*u**4/28 - 2*u**2 + 23*u. Find v, given that q(v) = 0.
-9, 0, 1, 13
Let t(n) be the second derivative of 2*n**7/7 - 157*n**6/30 + 269*n**5/40 + 64*n**4/3 + 13*n**3/3 - 12*n**2 + 12*n + 97. Find m, given that t(m) = 0.
-2/3, -1/2, 1/4, 2, 12
Suppose 228*i = 217*i + 22. Let l(y) be the second derivative of -1/24*y**3 + 0*y**i + 8*y + 1/48*y**4 + 0. Factor l(v).
v*(v - 1)/4
Let w(a) be the third derivative of -a**5/140 - 20*a**4/7 - 471*a**3/14 - 25*a**2 + 85. Factor w(k).
-3*(k + 3)*(k + 157)/7
Let f be 65 + -3 + 28 + (-6 - 36). Find k, given that -64*k - 7*k**2 - 1/2*k**5 - f + k**4 + 21/2*k**3 = 0.
-3, -2, -1, 4
Let r = 1044298139/1890988 - 4/472747. Find i such that -1/4*i**2 - r + 47/2*i = 0.
47
Suppose -2*b + 14 = -2*j, -207*b + 212*b + 2*j = 0. Factor -1/4*h**b + 3/4*h + 5/2.
-(h - 5)*(h + 2)/4
Let f(w) be the first derivative of -1/6*w**6 + 3*w**2 - 2/15*w**5 + 4/3*w**3 + 5/6*w**4 + 0*w - 13. Let b(l) be the second derivative of f(l). Solve b(o) = 0.
-1, -2/5, 1
Let r be 2639/(-294) - -8 - -3 - 2/1. Let u(k) be the second derivative of 0 - 25*k + 81/7*k**2 + r*k**4 + 6/7*k**3. Factor u(d).
2*(d + 9)**2/7
Let l be (-6)/(-8 + 136/20). Suppose -t + 2 = -0*t. Solve -t*f - 5*f + l*f**3 + 2*f = 0 for f.
-1, 0, 1
Let r(l) be the second derivative of 4*l**7/9 + 59*l**6/90 + l**5/20 - 9267*l. Factor r(j).
j**3*(j + 1)*(56*j + 3)/3
Let k(q) be the second derivative of -3/14*q**3 - 1/28*q**4 - 2 - 3*q + 0*q**2. Solve k(f) = 0.
-3, 0
Let c be ((-14)/3 + 2)*(-5 + (-7)/(-2)). Let f(t) be the first derivative of -22 - 1/2*t**c + 0*t + 4/9*t**3 - 1/9*t**2. Factor f(g).
-2*g*(3*g - 1)**2/9
What is l in -260/7*l**2 + 1224/7 - 4/7*l**4 + 12*l**3 - 276/7*l = 0?
-2, 3, 17
Let u(l) be the second derivative of -5*l**4/12 - 3995*l**3/3 - 3192005*l**2/2 - 1339*l + 1. Factor u(n).
-5*(n + 799)**2
Determine s, given that -241*s - 207*s - 258 + 9074*s**2 - 9224*s**2 - 188*s + 3*s**3 - 390 = 0.
-2, 54
Let x(n) = -n**2 + 31*n + 39. Let s be x(32). Factor 5*q**4 + q - 13*q**3 - 8*q + 4*q**3 - 8*q**3 + 3 - 39*q**2 + s.
(q - 5)*(q + 1)**2*(5*q - 2)
Let 16 - 6*p + 2/9*p**2 = 0. Calculate p.
3, 24
Let o(m) be the third derivative of -m**6/360 + m**5/20 - 3*m**4/8 + 23*m**3/2 - 37*m**2 - m. Let q(l) be the first derivative of o(l). Solve q(h) = 0.
3
Suppose -5*r - 31 = -56. Suppose 3*s - 5*k = 2*s - 17, 0 = r*k - 20. Find f such that -3*f**4 - 331*f**3 - 30*f - 5 - 4 - 36*f**2 + 313*f**s = 0.
-3, -1
Let q be (-325)/75*72/(-2). Let j = 784/5 - q. Factor -2/5*w**2 - j + 6/5*w.
-2*(w - 2)*(w - 1)/5
Suppose 5*c + 4*f - 292 = 0, f = c - 5*c + 238. Solve -36*d**3 - c*d**2 + 5*d**4 - 25 - 70*d + 32*d**3 - 6*d**3 = 0 for d.
-1, 5
Suppose 0 = -5*j - 2*p + 46, -3*j - j + p = -29. Let h be 42/j - 8/32. Let -2/9*b**h + 2/3*b**3 + 2/9*b**4 + 4/9*b + 0 - 10/9*b**2 = 0. What is b?
-2, 0, 1
Let f(v) = 35*v + 378. Let q(b) = -29*b - 378. Let z(i) = -3*f(i) - 4*q(i). Let m be z(-33). Suppose -m*k + 1/4*k**4 + 25/4 + 23/2*k**2 - 3*k**3 = 0. What is k?
1, 5
Let w(s) = -2*s**3 + 14*s**2 + 2*s + 56. Let q be w(10). Let p = q + 3691/7. Determine m so that -m**2 + p*m - 6/7 = 0.
2/7, 3
Let t(u) be the first derivative of -5/12*u**2 - 1/30*u**5 + 1/18*u**3 + 58 + 0*u + 5/24*u**4. Find p, given that t(p) = 0.
-1, 0, 1, 5
Let c = 1357 - 1341. Let h be c/28*(3 - (-3 + 4)). Factor -10/7*q - h*q**2 - 2/7.
-2*(q + 1)*(4*q + 1)/7
Let t(p) be the first derivative of 31/3*p**3 + 0*p**2 + 3/40*p**5 - 1/120*p**6 + 18 + 0*p + 1/2*p**4. Let r(l) be the third derivative of t(l). Factor r(o).
-3*(o - 4)*(o + 1)
Let f(g) = -3*g**2 - 625*g - 3004. Let t(k) = 2*k**2 + 625*k + 3006. Let y(z) = -3*f(z) - 2*t(z). Factor y(o).
5*(o + 5)*(o + 120)
Let h(d) be the first derivative of d**3 - 24*d**2/7 + 12*d/7 - 5572. Factor h(a).
3*(a - 2)*(7*a - 2)/7
Let n(f) be the first derivative of 5/3*f**3 + 41 - 30*f**2 + 55*f. Factor n(m).
5*(m - 11)*(m - 1)
Let j be (27/36)/((-126)/(-40) - 3). Let p(m) be the second derivative of -4/9*m**3 - 1/15*m**j + 0 + 19*m + 0*m**2 - 1/3*m**4. Let p(x) = 0. Calculate x.
-2, -1, 0
Suppose -69*s = -17*s + 14*s + 23*s. Factor s + 0*f**2 - 1/3*f**3 - 2/3*f**4 + 0*f - 1/3*f**5.
-f**3*(f + 1)**2/3
Let k(o) = -259*o**5 + 2368*o**4 + 1883*o**3 + 361*o**2 + o + 1. Let b(q) = -3*q**5 - q**3 + q**2 + q + 1. Let h(s) = -b(s) + k(s). Factor h(a).
-4*a**2*(a - 10)*(8*a + 3)**2
Let o(r) = 6*r**2 - 147*r - 1435. Let b(f) = -14*f**2 + 368*f + 3588. Let a(h) = 5*b(h) + 12*o(h). Find z such that a(z) = 0.
-20, -18
Let l(v) be the second derivative of 0 - 13/72*v**4 + 1/24*v**5 - 1/126*v**7 + 1/4*v**3 + 1/60*v**6 - 1/6*v**2 - 19*v. Let l(c) = 0. Calculate c.
-2, 1/2, 1
Let d be (((-73853)/(-26))/23)/(-1 + 2). Let m = d + -122. Factor -3/4*q - m*q**2 - 3/4*q**3 + 0.
-3*q*(q + 1)**2/4
Factor -473/2*i - 235*i**2 + 1/2*i**3 + 471.
(i - 471)*(i - 1)*(i + 2)/2
Factor -866*i + 2486*i + 230 + i**2 + 4*i**2 - 1855.
5*(i - 1)*(i + 325)
Find j such that 44/7 - 46/7*j - 2/7*j**4 - 6*j**2 + 46/7*j**3 = 0.
-1, 1, 22
Let x(t) = 2*t**2 + 8*t - 1. Let i(m) = -m**2 - 2*m**2 - 8 - 7 - 14*m + 17. Let k(j) = 3*i(j) + 5*x(j). Factor k(s).
(s - 1)**2
Let z be (4/(8/18))/((145/15)/29). Let l(d) be the first derivative of -1/2*d**6 + z + 0*d + 2/5*d**5 - 2/3*d**3 - 1/2*d**2 + d**4. Suppose l(u) = 0. What is u?
-1, -1/3, 0, 1
Find k, given that -17462220 + 2*k**2 + 4099*k - 6391236 - 6*k**2 - 12842*k - 10793*k = 0.
-2442
Let p(h) be the second derivative of -h**5/35 - 132*h**4/7 - 25870*h**3/7 + 158404*h**2/7 - 880*h. Find z such that p(z) = 0.
-199, 2
Let z = -149767/91 + 21399/13. Factor -6/7 + 10/7*w - 2/7*w**2 - z*w**3.
-2*(w - 1)**2*(w + 3)/7
Let p(w) be the third derivative of 0 - 2*w - 1/40*w**5 - 11*w**2 + 5/48*w**4 + 25/36*w**3 + 1/720*w**6. Let p(o) = 0. Calculate o.
-1, 5
Let o(j) be the second derivative of -j**5/35 + 38*j**4/21 + 82*j**3/21 - 156*j**2/7 + 1473*j. Determine h, given that o(h) = 0.
-2, 1, 39
Let l = -9707 + 9710. Let n(h) be the third derivative of 3/4*h**4 + 0*h + 0 - 1/60*h**5 - 27/2*h**l - h**2. Solve n(w) = 0 for w.
9
Let h be (3/(-6))/(1/(-6)). Let w be 3*(-24)/240 + 161/70. Factor 0*u + 0 + 2/7*u**h - 2/7*u**4 + 