*p - 143. Let f(z) be the first derivative of r(z). Factor f(k).
2*k*(k + 1)**2*(k + 8)/7
Let q(b) = -b. Let n(s) = -12*s**3 + 15*s**3 + 2 - 3*s**2 + 4 - 6 - 16*s. Let o(u) = n(u) + 2*q(u). Factor o(z).
3*z*(z - 3)*(z + 2)
Factor -27*m - 23 - 76 + 135*m - 2*m**2 + 873*m + 590.
-(m - 491)*(2*m + 1)
Let b be (-8)/2 + 6 - 1. Let c be (6 - 3)/(b - -1). Factor -c - 1/4*l**2 + 5/4*l.
-(l - 3)*(l - 2)/4
Let n(g) = -31*g**3 + 25*g**3 - g**2 - g + 5*g**3 + 1. Let a(j) = 63*j**4 + 261*j**3 + 201*j**2 - 9*j - 24. Let u(d) = a(d) + 6*n(d). Let u(l) = 0. Calculate l.
-3, -1, -1/3, 2/7
Factor -3*p**4 - 716*p**2 - 2*p**4 - 100*p - 12 + 763*p**2 - 22*p**3 + 92*p.
-(p - 1)**2*(p + 6)*(5*p + 2)
Factor -765*k**2 + 380*k**2 + 123704 - 4572*k - 972*k - 2044700 + 381*k**2.
-4*(k + 693)**2
Let v(d) = -4*d**4 - 7*d**3 + d**2 - 2*d. Let m(r) be the second derivative of r**6/10 + 3*r**5/10 - r**4/12 - 64*r. Let j(h) = -3*m(h) - 2*v(h). Factor j(u).
-u*(u - 1)*(u + 1)*(u + 4)
Let m(p) be the first derivative of 7*p**4 - 64*p**3/3 + 8*p**2 - 1046. Determine x so that m(x) = 0.
0, 2/7, 2
Suppose -23 = -2*h - 3. Let t = -12 + 14. Suppose 14*s + 4*s**t - 11*s**2 - h - 8*s**2 + 11*s = 0. Calculate s.
2/3, 1
Let k(f) be the third derivative of 1/780*f**6 + 1/390*f**5 + 0*f**3 - 1/1365*f**7 + 0*f - 1/2184*f**8 - 36*f**2 + 0*f**4 - 2. Find d such that k(d) = 0.
-1, 0, 1
Factor 10*c**2 - 16*c - 5*c**3 - 31*c + 52*c - 10.
-5*(c - 2)*(c - 1)*(c + 1)
Let i = -329 + 330. Let r(t) = 2*t**4 - 1. Let d(y) = 6*y**4 - 40*y**2 + 35. Let k(s) = i*d(s) - r(s). Solve k(n) = 0.
-3, -1, 1, 3
Let l(u) = -22*u**3 - 154*u**2 - 347*u - 159. Let q(w) = 13*w**3 + 76*w**2 + 173*w + 78. Let r(b) = 4*l(b) + 7*q(b). Solve r(h) = 0 for h.
-1, 30
Let o(g) = -7*g**2 - 19*g - 16. Let x(t) = 6*t**2 + 17*t + 15. Let q(a) = 3*o(a) + 4*x(a). Let j be q(-2). Factor 4/15*l + 2/5 - 2/15*l**j.
-2*(l - 3)*(l + 1)/15
Let x be (4*8/88)/(26/143). Factor -5/2*v**x - 25/2 - 15*v.
-5*(v + 1)*(v + 5)/2
Let o(i) be the third derivative of 8/21*i**3 + 0 + 17/5*i**5 - 12/7*i**4 - 289/210*i**6 + 0*i + 33*i**2. Factor o(f).
-4*(f - 1)*(17*f - 2)**2/7
Let c(g) = 88*g**2 + 75*g + 238. Let d(r) = 76*r**2 + 74*r + 244. Let q(t) = -6*c(t) + 7*d(t). Factor q(k).
4*(k + 7)*(k + 10)
Factor -120*z**4 + 900*z**5 - 331*z**3 + 2 + 335*z**3 + 3 - 5.
4*z**3*(15*z - 1)**2
Find f, given that 1994*f - 90*f**3 + 5437 + 1222*f**4 - 600*f**2 + 1270*f - 1141*f**4 - 1427*f**2 - 317 = 0.
-5, -1, 32/9
Let f(t) = -2*t**4 + 24*t**3 - 90*t**2 + 110*t - 45. Let h(o) = o**4 + o**3 + o**2 - 3*o + 3. Let j(q) = 3*f(q) + 3*h(q). Determine m so that j(m) = 0.
1, 2, 21
Let l = 31 + -13. Let v be l + 0/(-3) + -4. Let 28*x**2 - v*x**2 - 16*x**2 = 0. What is x?
0
Suppose -4649*y + 5088 + 916 = 4*y - 3302. Determine n, given that 4/3*n + 0 - y*n**2 = 0.
0, 2/3
Let v = -269694 + 269699. Factor 1/3*z**v + 0 - z**3 - 1/3*z**2 + 2/3*z + 1/3*z**4.
z*(z - 1)**2*(z + 1)*(z + 2)/3
Solve 21*x**2 - 11874 - 48*x - 3*x**3 + 5978 + 5932 = 0 for x.
2, 3
Let m(o) = 2*o**3 - 19*o**2 + 18*o + 13. Let v be m(8). Let j be 246/15 + -3 + (v - -39). Suppose 12/5*x**3 + 0 + 21/5*x - j*x**2 = 0. What is x?
0, 1/4, 7
Let l(h) be the second derivative of 2/105*h**6 + 1/14*h**4 - h + 1/42*h**3 + 69 + 0*h**2 + 9/140*h**5. Let l(n) = 0. Calculate n.
-1, -1/4, 0
Let x(z) be the second derivative of 7*z**3/3 - 17*z**2 - 26*z. Let y be x(4). Factor -y*m - 31*m - 31*m + 5 + 74*m + 5*m**2.
5*(m - 1)**2
Let k be 3/((-36)/(-10) - 3). Determine m so that -16*m**2 + 16*m**3 - k*m**4 + 4*m**5 + 4*m + 5*m**3 + 3*m**3 - 11*m**4 = 0.
0, 1
Let z be (57/(-437))/(6/316). Let m = z + 2468/299. Factor 40/13*d**3 + 0 + 2*d**2 + 4/13*d + m*d**4.
2*d*(d + 1)**2*(9*d + 2)/13
Let o(q) be the first derivative of 2*q**3/57 + 5922*q**2/19 + 17535042*q/19 + 2479. Factor o(f).
2*(f + 2961)**2/19
Factor -99*h + 81*h - 386*h - 2*h**2 - 398*h + 783 + 21.
-2*(h - 1)*(h + 402)
Let d(b) be the first derivative of -1875*b + 103 + 2295*b**2 + b**3 - b**3 - b**3 - 2370*b**2. Suppose d(f) = 0. What is f?
-25
Let p(d) be the second derivative of 0 + 2*d + 0*d**3 + 2/25*d**5 + 2/5*d**4 + 1/225*d**6 + 0*d**2. Determine l so that p(l) = 0.
-6, 0
Let r = 544 + -542. Suppose 0 = h - r*j - 12, 3*j + 0 + 9 = -3*h. What is v in 4/7*v + 0 + 2/7*v**h = 0?
-2, 0
Let n(c) = 2*c - 17. Let s be n(5). Let q = s - -15. Factor q + 10*j**3 + 4*j + 2*j**3 + 3*j**4 - j**4 + 26*j**2 + 20*j.
2*(j + 1)**2*(j + 2)**2
Let x be 108/702 - ((-568)/26 + -1). Factor -4 - 29*k - 66*k**3 + 20*k + 21*k + x*k**2 + 35*k**4.
(k - 1)**2*(5*k + 2)*(7*k - 2)
Let v = -877 + 1239. Suppose 9*b + v = 398. Factor q**2 - 1/2*q**3 + 1/2*q**5 + 0 - q**b + 0*q.
q**2*(q - 2)*(q - 1)*(q + 1)/2
Let h(c) be the second derivative of -4*c**7/399 + 4*c**6/19 - 3*c**5/10 + 7*c**4/57 - 919*c. Determine k, given that h(k) = 0.
0, 1/2, 14
Let c(x) = 10*x**4 - 14*x**3 - 96*x**2 - 208*x - 106. Let h(l) = -39*l**4 + 55*l**3 + 386*l**2 + 832*l + 425. Let g(f) = -23*c(f) - 6*h(f). Factor g(i).
4*(i - 7)*(i + 1)*(i + 2)**2
Suppose -2*g = -4*f + 127 - 43, -2*g - 174 = -9*f. Let o(m) be the first derivative of f + 2/3*m**6 - 8*m**2 - 3*m**4 + 0*m - 32/3*m**3 + 8/5*m**5. Factor o(q).
4*q*(q - 2)*(q + 1)**2*(q + 2)
Let k(d) be the first derivative of -6*d**2 - 4*d**3 + 17*d + 1/10*d**6 + 3/10*d**5 - 3/4*d**4 + 28. Let r(b) be the first derivative of k(b). Factor r(a).
3*(a - 2)*(a + 1)**2*(a + 2)
Determine o so that -27/5*o**2 + 0 + 2/5*o = 0.
0, 2/27
Let v(y) be the second derivative of y**6/75 - 11*y**5/100 + y**4/5 + 3*y**3/10 - 434*y - 4. Suppose v(q) = 0. What is q?
-1/2, 0, 3
Let k be 80/(-25)*(-165)/72. Find b such that 46/3*b + k + 2/3*b**3 + 26/3*b**2 = 0.
-11, -1
Let n(s) be the first derivative of 5*s**6/6 + 5*s**5 + 15*s**4/2 - 20*s**3/3 - 20*s**2 - 3854. Suppose n(t) = 0. What is t?
-2, 0, 1
Let u(d) be the second derivative of d**5/150 + 14*d**4/5 + 1764*d**3/5 - 4*d + 179. Suppose u(m) = 0. Calculate m.
-126, 0
Let u(h) be the second derivative of h**7/147 + 2*h**6/15 + 5*h**5/14 + 2*h**4/7 - h - 1339. Find x such that u(x) = 0.
-12, -1, 0
Let a(v) be the third derivative of -11/480*v**5 + 2 + 0*v - 35/192*v**4 - 1/8*v**3 + 20*v**2. Solve a(u) = 0 for u.
-3, -2/11
Let -2/3*v**4 - 16/9*v**3 - 92/3*v + 0 + 194/9*v**2 = 0. Calculate v.
-23/3, 0, 2, 3
Let m(l) be the third derivative of -l**6/90 - 8*l**5/9 - 26*l**4/9 + 5408*l**3/3 - 6*l**2 - 15. Determine k, given that m(k) = 0.
-26, 12
Let w(n) = -n**3 + 18*n**2 + 23*n - 76. Let d be w(19). Let p be ((-2)/(-5))/(d - 12/(-20)). Factor -2/3*z**4 - p + 4/3*z**2 + 0*z**3 + 0*z.
-2*(z - 1)**2*(z + 1)**2/3
Let c(n) = 3*n**4 + 18*n**3 + 2*n**2 - 8*n - 4. Let d(m) = -m**4 + m**3 - m**2 + 4*m + 2. Let r(x) = c(x) + 2*d(x). Factor r(h).
h**3*(h + 20)
Let o = 80 + -85. Let l(p) = p**2 + 6*p + 7. Let w be l(o). Suppose -2*k**2 - 26*k**3 - 3*k**4 - k**4 - 2*k**w + 18*k**3 = 0. Calculate k.
-1, 0
Solve 2/7*u**4 - 384/7 + 14*u**3 - 56*u + 88/7*u**2 = 0 for u.
-48, -2, -1, 2
Let b(w) be the first derivative of -w**3/3 - w**2 + 24*w - 2042. Factor b(u).
-(u - 4)*(u + 6)
Let o(s) = -3*s**2 - 4*s + 1. Let y(a) = 13*a**2 + 22*a + 7. Let m(q) = 10*o(q) + 2*y(q). Determine z, given that m(z) = 0.
-2, 3
Let t(n) be the first derivative of -1/40*n**6 + 0*n - 18 + 1/4*n**4 - 1/20*n**5 + 19*n**2 + 0*n**3. Let u(i) be the second derivative of t(i). Factor u(p).
-3*p*(p - 1)*(p + 2)
Suppose 390*a - 140 = 355*a. Let c(y) be the second derivative of 36*y - 2*y**3 + 1/24*y**a + 36*y**2 + 0. What is k in c(k) = 0?
12
Let h be (13/(-65))/(7/490*-2*2). Let s(d) be the first derivative of -83/9*d**3 + 12 + 3/5*d**5 + h*d**4 - 34/3*d**2 - 4*d. Solve s(i) = 0 for i.
-6, -1/3, 2
Suppose 3*y + 5 = j, 4*j - 298 = -y - 278. What is m in y + 5/2*m**4 + 25/2*m**3 + 10*m**2 + 0*m = 0?
-4, -1, 0
Determine y so that 948676/3 + 1/3*y**2 + 1948/3*y = 0.
-974
Let g(z) be the second derivative of -z**7/1260 - z**6/1440 - z**4/12 + 7*z**3/3 - 6*z. Let w(v) be the third derivative of g(v). Solve w(o) = 0.
-1/4, 0
Let z = -1048252 + 1048254. Factor 4 + 576/5*v**z - 184/5*v + 108/5*v**4 - 648/5*v**3.
4*(v - 5)*(3*v - 1)**3/5
Let u(b) be the third derivative of -b**5/240 - 5*b**4/16 - 29*b**3/24 - 152*b**2. Solve u(l) = 0.
-29, -1
Let w = -490584 + 3434092/7. Determine z, given that 2/