+ 4)*(u + 5)
Let a(k) be the second derivative of -k**6/630 + 3*k**5/35 - 27*k**4/14 + 7*k**3/6 - k + 60. Let q(h) be the second derivative of a(h). Factor q(b).
-4*(b - 9)**2/7
Let z = -410 + 412. Let 3*c**2 + 2*c - c**z - 2329 + 1141 + 1128 = 0. Calculate c.
-6, 5
Let g(w) = 93*w**3 - 1086*w**2 + 7575*w + 8646. Let d(b) = 26*b**3 - 310*b**2 + 2164*b + 2470. Let h(u) = 18*d(u) - 5*g(u). Factor h(f).
3*(f - 41)*(f - 10)*(f + 1)
Let u(a) = 2*a**3 + 3*a - 2. Let d be u(1). Solve -32*b**2 - 20*b - 169*b**d + 340*b**3 - 175*b**3 + 56 = 0.
-7, -2, 1
Solve -460 + 438*w - 31*w**2 - 64*w**2 + 92*w - 150*w**2 + 5*w**3 + 170*w = 0.
1, 2, 46
Let w(x) be the first derivative of -2*x**3/45 - 7*x**2/15 + 363. Factor w(b).
-2*b*(b + 7)/15
Factor 3/4*x**4 + 243/4*x**2 - 30*x - 63/2*x**3 + 0.
3*x*(x - 40)*(x - 1)**2/4
Suppose 84*c = 88*c - 32. Let d be c - (1232/91 + -6). Factor -2/13*t**2 - d - 8/13*t.
-2*(t + 1)*(t + 3)/13
Let n be (-6)/8 + (-13)/8*2. Let s(w) = -w**4 - w - 1. Let v(m) = -8*m**4 + 4*m**3 + 12*m**2 - 24*m + 4. Let h(b) = n*s(b) + v(b). Determine r so that h(r) = 0.
-2, 1
Let q(l) be the third derivative of l**6/24 - 4*l**5 - 245*l**4/24 - 67*l**2 + 2*l. Find r, given that q(r) = 0.
-1, 0, 49
Let h = 402 - 400. Factor 5 + 22*c**h + c**3 + 11*c - 41*c**2 + 26*c**2.
(c + 1)**2*(c + 5)
Suppose 0 = -5*z - 5*o + 195, 0*z + z = -5*o + 59. Let b = z - 28. Suppose -8*u**4 - 2*u - 5*u**5 - 4*u + b*u + 4*u**3 = 0. Calculate u.
-2, 0, 2/5
Let q = -5418 + 5421. Let d(r) be the third derivative of 20*r**2 + 0*r + 0*r**q + 1/40*r**6 - 1/10*r**5 + 0 + 0*r**4. Determine c so that d(c) = 0.
0, 2
Suppose 2*q = 2*y - 4178, -5*q + 8705 = 3*y + 2406. Factor -y*u**3 - 75*u**2 + 1046*u**3 - 240*u + 1042*u**3 + 320.
-5*(u - 1)*(u + 8)**2
Let b be -102 - -100 - (2/(-3) - 868/630). Let q(t) be the first derivative of 2/27*t**3 + 0*t**4 + 0*t + 0*t**2 - b*t**5 + 18. Find p such that q(p) = 0.
-1, 0, 1
Let v(y) be the first derivative of -5*y**5 - 10*y**4 + 2020*y**3/3 - 400*y**2 + 2518. What is u in v(u) = 0?
-10, 0, 2/5, 8
Let w = 408 - 402. Suppose -5*p + 20 = 0, 2*t + t - 3*p = -w. Factor 8/5 - 4/5*k + 4/5*k**3 - 12/5*k**t + 4/5*k**4.
4*(k - 1)**2*(k + 1)*(k + 2)/5
Let l(p) = -264*p**2 + 251*p + 18. Let d be l(1). Factor 122/9*u**2 + 2/9*u**d + 26/3*u**3 + 88/9*u + 22/9*u**4 + 8/3.
2*(u + 1)**3*(u + 2)*(u + 6)/9
Let k(u) = 5*u**2 + 202*u - 18. Let t(m) = 11*m**2 + 402*m - 42. Let z(w) = 14*k(w) - 6*t(w). Factor z(q).
4*q*(q + 104)
Let h(n) be the first derivative of -n**6/1620 - n**5/540 + 25*n**3 + 10. Let s(z) be the third derivative of h(z). Find p, given that s(p) = 0.
-1, 0
Let j(b) be the first derivative of b**5/300 + 43*b**4/120 - 181*b**2/2 - 190. Let t(a) be the second derivative of j(a). Determine w so that t(w) = 0.
-43, 0
Let f(w) be the second derivative of -w**6/24 - 3*w**5/16 - 5*w**4/24 - 2*w - 959. Factor f(x).
-5*x**2*(x + 1)*(x + 2)/4
Let n = -56/3 - -479/12. Let z = 47/2 - n. Solve 3*s - 3 + z*s**5 - 21/4*s**3 + 27/4*s**2 - 15/4*s**4 = 0.
-1, 2/3, 1, 2
Suppose -q = 3*q + 11*p - 213, p = 5*q - 45. Determine w, given that 16 - 16/3*w - 4/3*w**4 + 8*w**3 - q*w**2 = 0.
-1, 2, 3
Factor 108125/4*o**3 + 22781250 + 1231875/2*o**2 - 8353125*o + 325*o**4 + 5/4*o**5.
5*(o - 5)**2*(o + 90)**3/4
Let b(q) be the third derivative of -q**6/660 - 29*q**5/330 - 4*q**4/33 + 112*q**3/11 + 54*q**2 + 26. Factor b(c).
-2*(c - 3)*(c + 4)*(c + 28)/11
Determine i so that 12*i**2 - 8/7*i**4 + 44/7*i**3 + 4/7*i - 4 = 0.
-1, 1/2, 7
Let s(a) be the first derivative of 142 - 4*a**3 + 0*a - 3/4*a**4 + 3/5*a**5 + 6*a**2. Factor s(r).
3*r*(r - 2)*(r - 1)*(r + 2)
Let n = 350 - 348. Solve -384 + 480*l + l**2 - 8*l**4 + 42*l**3 + 5*l**4 - 217*l**n = 0.
2, 4
Let l(m) be the third derivative of 14*m + m**3 - 11*m**2 + 1/180*m**6 - 1/18*m**5 + 1/12*m**4 + 0. Factor l(z).
2*(z - 3)**2*(z + 1)/3
Let m be 5/2 + 154/308. Find b, given that 0 - 4/5*b**2 + 2/5*b**m - 6/5*b = 0.
-1, 0, 3
Let o(x) be the first derivative of -2*x**3/9 + x**2/2 + 3*x + 1927. Factor o(s).
-(s - 3)*(2*s + 3)/3
Let p(o) = 28576*o - 171452. Let r be p(6). Factor 8/3*v**2 - r*v - 1/3*v**4 + 1/3*v**3 + 0.
-v*(v - 2)**2*(v + 3)/3
Let j = -8038 + 8050. Find m, given that 64/5 + 126/5*m - 2/5*m**3 + j*m**2 = 0.
-1, 32
Let p be -2*(-70)/(-20) + 29. Factor 5*y**2 - 16*y + 35 + 34*y + p*y.
5*(y + 1)*(y + 7)
Let p = -11525/51 + 3853/17. Suppose 4/3*w**3 + p*w**4 + 0 - 4/3*w - 2/3*w**2 = 0. Calculate w.
-2, -1, 0, 1
Let p(v) be the second derivative of -29/170*v**5 - 700/51*v**3 - 1000/17*v**2 + 1/255*v**6 + 0 - 78*v + 45/17*v**4. Determine s, given that p(s) = 0.
-1, 10
Factor 2*g**4 - 18342*g**3 - 110148*g - g**4 + 9176*g**3 + 9434*g**3 + 17134*g**2 + 168921.
(g - 3)**2*(g + 137)**2
Factor -471*g - 1040*g**2 - 169/3*g**3 - 54.
-(g + 18)*(13*g + 3)**2/3
Let y(d) be the second derivative of -23*d**4/4 + 160*d**3 + 42*d**2 - 33*d - 9. Suppose y(z) = 0. Calculate z.
-2/23, 14
Let h = 269/7 - 2145/56. Let x(f) be the third derivative of 0*f - 1/30*f**6 + h*f**4 + 0 + 0*f**3 - 19*f**2 + 1/60*f**5. Factor x(b).
-b*(b - 1)*(4*b + 3)
Let o be 116/44 + (11/66)/(132/288). Find g, given that 1/6*g**2 + 5/6*g + 1/2 - 1/6*g**o = 0.
-1, 3
Suppose -4*p = -3*o - 19, 3*p - 48 = 5*o - 31. Let j(q) be the third derivative of 2*q**p + 0 - 6*q**2 + 0*q + 24*q**3 + 1/15*q**5. Factor j(l).
4*(l + 6)**2
Let o = 3168181/540 + -5867. Let m(y) be the third derivative of -20*y**2 - o*y**5 + 1/1080*y**6 + 0*y**4 + 0*y + 0 + 0*y**3. Solve m(v) = 0.
0, 1
Suppose -48*y = 4 - 200 + 4. Let u(n) be the first derivative of -1/5*n**y + 4*n**3 - 9 + 100*n - 30*n**2. Factor u(i).
-4*(i - 5)**3/5
Let g(m) = -3*m**2 + 86*m - 271. Let c be g(25). Let s(d) be the first derivative of 0*d + 8/3*d**3 - 3/2*d**c - d**2 - 17. What is u in s(u) = 0?
0, 1/3, 1
Let p(o) = 590*o**3 + 2*o - 3. Let c be p(1). Let q = c - 587. Factor -26/7*b**q - 6/7*b**3 - 26/7*b - 6/7.
-2*(b + 1)*(b + 3)*(3*b + 1)/7
Solve 175 - 177/2*s + 1/2*s**2 = 0 for s.
2, 175
Factor -1617*m**2 + 1578*m + 0*m**4 - 246 - 3*m**4 + 144*m**3 - 474 + 618*m**2.
-3*(m - 40)*(m - 6)*(m - 1)**2
Suppose -415*i + 44 = -404*i. Solve -2/3*p**i - 2 - 8*p**2 - 4*p**3 - 20/3*p = 0 for p.
-3, -1
Let i(a) be the third derivative of -a**8/336 - a**7/56 - a**6/36 - 17*a**3 + 2*a**2 - 37. Let p(l) be the first derivative of i(l). Factor p(s).
-5*s**2*(s + 1)*(s + 2)
Let j(z) = -z**2 + 10*z. Let p be j(10). Let k be ((-23)/((-7820)/204))/((-11)/20 + 1). Find t, given that p + 20/3*t**2 - 4*t - k*t**4 - 4/3*t**3 = 0.
-3, 0, 1
Let y(a) be the third derivative of 1/30*a**5 - 26*a**2 + 0*a**3 + 0 + 0*a - 29/12*a**4. Factor y(w).
2*w*(w - 29)
Factor 41*m - 104/5*m**2 - 102/5 + 1/5*m**3.
(m - 102)*(m - 1)**2/5
Let p(t) = -4*t**2 + 2*t + 1. Let a(r) = -2*r**2 - 2*r - 95. Let w(c) = -a(c) + p(c). Factor w(k).
-2*(k - 8)*(k + 6)
Let p = 17 - 15. Factor -60 - 51148*g**2 + 51145*g**p - 27*g - 9*g.
-3*(g + 2)*(g + 10)
Let w(m) = -m + 19. Let p be w(-14). Let 0 + 27 + 29*z + 21*z**2 + p - 3*z**3 + 6*z + 49*z = 0. What is z?
-2, -1, 10
Let t be -2*(-8 - (-4)/2)*(-1240)/(-279). Let j(u) be the second derivative of -3*u - 20/3*u**4 - t*u**3 + 0*u**2 + 0 - 1/4*u**5. Factor j(f).
-5*f*(f + 8)**2
Suppose 4*g = 819 - 739. Find b such that 36*b**5 + 2*b**2 + 75*b**3 - 116*b**5 + 20*b**4 - 37*b**2 - 10*b**2 + g*b**4 = 0.
-1, 0, 3/4
Let m(o) be the third derivative of -9/40*o**6 + 0*o**3 + 2 + 25/8*o**4 + 15*o**2 + 1/70*o**7 + 0*o + 3/4*o**5. Factor m(a).
3*a*(a - 5)**2*(a + 1)
Let i = 1707 + -1679. Let r(d) be the first derivative of 2/9*d**2 - 8/9*d - 1/36*d**4 - i + 2/27*d**3. Factor r(a).
-(a - 2)**2*(a + 2)/9
Solve 16/3*x**4 + 32 + 100/3*x**3 + 262/3*x + 2/9*x**5 + 752/9*x**2 = 0 for x.
-16, -3, -1
Suppose q - 14*q + 36 = -4*q. Let d(l) be the third derivative of 3/32*l**q + 1/160*l**6 + 0*l + 0 + 12*l**2 + 1/8*l**3 + 3/80*l**5. Factor d(g).
3*(g + 1)**3/4
Let l = -12630413/7 + 1804345. Factor 6/7*i**2 - 32/7*i + 24/7 + l*i**3.
2*(i - 2)*(i - 1)*(i + 6)/7
Let m(h) = -20*h**2 - 11*h - 80. Let i(p) = p + 16. Let c(t) = -5*i(t) - m(t). Factor c(q).
2*q*(10*q + 3)
Let s(n) = -20*n**2 + 103*n + 50. Let o(g) = 7*g**2 - 34*g - 17. Suppose -11 = -11*y + 110. Let t(a) = y*o(a) + 4*s(a). Factor t(x).
-(x - 13)*(3*x + 1)
Let l(o) be the first derivati