r.
-17, 0, 1
Let u(o) be the third derivative of o**7/70 + 327*o**6/40 - 329*o**5/20 - 327*o**4/8 + 164*o**3 - 2*o**2 - 2*o - 186. Factor u(p).
3*(p - 1)**2*(p + 1)*(p + 328)
Suppose -a + 2*a = 8. Let y(r) = r**2 - 10*r + 22. Let d be y(a). Factor -h**3 + d*h**3 - h - 3*h**3 - h**3.
h*(h - 1)*(h + 1)
Let z(l) be the first derivative of -l**7/735 - l**6/60 + 4*l**5/105 + 3*l**2/2 - l - 4. Let r(y) be the second derivative of z(y). Find b, given that r(b) = 0.
-8, 0, 1
Suppose d - 4 = 3*j, -12 = 49*j - 51*j - 3*d. Let l be 2/12*(3 - 2)*9. Factor j + 3*c**2 + 3/2*c + l*c**3.
3*c*(c + 1)**2/2
Let n(m) be the second derivative of -m**7/280 + m**6/24 - 7*m**5/40 + 3*m**4/8 - m**3/3 + 3*m**2 - 4*m. Let q(i) be the second derivative of n(i). Factor q(u).
-3*(u - 3)*(u - 1)**2
Let i(l) = -86*l**2 + 1576*l + 310476. Let z(u) = 108*u**2 - 1576*u - 310477. Let k(o) = 5*i(o) + 4*z(o). Solve k(g) = 0 for g.
-394
Let p be (-26)/(-312) - (-183)/(-36) - (-32)/6. Let k(b) be the third derivative of 0 - 1/3*b**4 - b**2 + 0*b + 1/30*b**5 - p*b**3 + 1/15*b**6. Factor k(y).
2*(y - 1)*(y + 1)*(4*y + 1)
Let u(g) be the first derivative of g**7/315 + 2*g**6/225 - 2*g**5/75 - 4*g**4/45 - 10*g + 67. Let c(w) be the first derivative of u(w). Factor c(b).
2*b**2*(b - 2)*(b + 2)**2/15
Suppose -14985 = 9*a - 3771. Let w be a/(-801) + (-8)/(-18). Determine l so that 0 - 14/3*l**w - 4/3*l - 2*l**3 = 0.
-2, -1/3, 0
Let n(s) = 13*s**5 + 13*s**4 + 94*s**3 - 99*s**2 - 21. Let l(k) = -5*k**5 - 5*k**4 - 35*k**3 + 37*k**2 + 8. Let v(d) = 21*l(d) + 8*n(d). Factor v(z).
-z**2*(z - 3)*(z - 1)*(z + 5)
Let n(v) = -55*v + 10562. Let w be n(192). Factor 9/2*r**w - 3/4*r**3 - 27/4*r + 3.
-3*(r - 4)*(r - 1)**2/4
Let x(w) = 2*w**3 + 48*w**2 + 72*w. Let y(a) = a**3 + 50*a**2 + 72*a. Let b(i) = 3*x(i) - 2*y(i). Suppose b(d) = 0. What is d?
-9, -2, 0
Let q be (6*1/7)/(10/70). Let k(t) be the third derivative of -25*t**2 + 0*t + 0*t**4 - 1/360*t**q + 0 + 0*t**3 - 1/60*t**5. Factor k(p).
-p**2*(p + 3)/3
Let m(s) be the second derivative of -s**7/126 + 14*s**6/45 - 13*s**5/10 + 19*s**4/9 - 25*s**3/18 + 1673*s. Factor m(v).
-v*(v - 25)*(v - 1)**3/3
Let j be -140*(-98)/60025*(0 - -14). Factor -8*r + j*r**2 + 5.
(4*r - 5)**2/5
Let x = -706 + 698. Let l(i) = -8*i**3 + 5*i**2 + 16*i + 8. Let r(p) = -13*p**3 + 7*p**2 + 24*p + 12. Let v(w) = x*l(w) + 5*r(w). Factor v(k).
-(k + 1)*(k + 2)**2
Let g(d) = 4*d**2 + 29*d - 13. Let m(x) be the first derivative of x**3 + 15*x**2/2 - 6*x - 64. Let k(h) = -3*g(h) + 5*m(h). Factor k(y).
3*(y - 3)*(y - 1)
Suppose 0 = -4*h + 4*y - 28, 5*h - 1019*y - 64 = -1025*y. Let 1/2*i**h + 13/2*i + 6 = 0. Calculate i.
-12, -1
Let a = 145183/241975 - -2/241975. Solve -a*w**3 - 3*w + 18/5*w**2 + 0 = 0.
0, 1, 5
Suppose 10*m - 31 = -1. Suppose -90*q - 2922*q**m + 54 + 60*q**2 + 2932*q**3 - 189 - 5*q**4 = 0. What is q?
-3, -1, 3
Let g = -3439418/91 + 264576/7. Solve 54/13*y**3 - 8/13*y**5 - 12/13 - g*y**4 - 46/13*y + 22/13*y**2 = 0 for y.
-3, -1, -1/4, 1, 2
Factor -7*k**3 - 5*k**4 + 11*k**3 + 2*k**5 + 9*k**4 + k**5 - 2*k**5 - 2*k**2 - 5*k - 2.
(k - 1)*(k + 1)**3*(k + 2)
Let l be (-747)/(-2324) + (325/595 - 12/102). Solve l*o**4 - 3*o - 1/4*o**3 + 1/4*o**5 - 11/4*o**2 - 1 = 0.
-2, -1, 2
Suppose 104*l - 140 = 68. Let n(y) be the first derivative of 25/6*y**4 + 2 + 190/9*y**3 + 8*y + 64/3*y**l. What is f in n(f) = 0?
-3, -2/5
Let -4628 - 167*i + 157*i + 3800 + 2*i**2 = 0. What is i?
-18, 23
Let b be ((-280)/(-68) + -1)/(4/(-1)). Let f = b - -26/17. Factor f*m**2 + 48 + 12*m.
3*(m + 8)**2/4
Let d = -3996/13 + 29033/78. Let h = d + -129/2. Let -2/3 + 2/3*u**2 + h*u - 1/3*u**3 = 0. Calculate u.
-1, 1, 2
Let f be (10 - 12) + (-3 - 165)/(-6). Let p(k) be the first derivative of 4/3*k**3 + 10*k**2 - f + 24*k. Suppose p(o) = 0. Calculate o.
-3, -2
Let y(w) be the first derivative of 18*w - 12 - 16*w**2 - 1/6*w**4 - 8/3*w**3. Let a(s) be the first derivative of y(s). Factor a(f).
-2*(f + 4)**2
Let n be (0 - 1)/(7/2 - 4). Let y(m) = m**3 + 3*m**2 - 2. Let u be y(-2). Factor -9*w + w - 3*w**n + 2 - 5*w**u + 2*w.
-2*(w + 1)*(4*w - 1)
What is w in -8/9*w + 2/9*w**3 + 14/9*w**2 - 56/9 = 0?
-7, -2, 2
Let b(q) be the third derivative of -q**6/1260 + q**4/84 + 17*q**3/6 + 54*q**2. Let v(t) be the first derivative of b(t). Suppose v(l) = 0. Calculate l.
-1, 1
Let a(k) be the first derivative of k**5/50 + 11*k**4/40 - 26*k**3/15 - 7*k**2 - 1380. Factor a(f).
f*(f - 5)*(f + 2)*(f + 14)/10
Suppose u - 2 = 0, -5*t - 64 = -50*u + 48*u. Let r be (t/15)/(60/(-15)). Determine f so that 4/5*f + r*f**2 + 4/5 = 0.
-2
Let u(o) be the third derivative of -o**8/224 + o**7/84 + o**6/48 - o**5/24 - o**4/24 - 15*o**2 + 6*o. Solve u(s) = 0 for s.
-1, -1/3, 0, 1, 2
Suppose -4*v - 752 = -2*a, 3*v - 194 = 4*v - 2*a. Let r be (248/v)/(6/(-9)). Determine d, given that 0*d + 0 + 1/5*d**4 + 1/5*d**3 + 0*d**r = 0.
-1, 0
Let r(s) = 1600000*s**3 + 1576020*s**2 - 23900*s + 85. Let l(a) = 800000*a**3 + 788012*a**2 - 11949*a + 42. Let h(w) = 5*l(w) - 3*r(w). Factor h(p).
-5*(p + 1)*(400*p - 3)**2
Let y(f) be the third derivative of -f**7/210 - 631*f**6/30 - 398161*f**5/10 - 251239591*f**4/6 - 158532181921*f**3/6 + 1981*f**2. What is c in y(c) = 0?
-631
Let p(l) be the first derivative of 0*l + 0*l**3 - 15/22*l**4 + 0*l**2 + 2/55*l**5 + 67. Find u such that p(u) = 0.
0, 15
Let p(y) be the third derivative of -y**5/360 - 473*y**4/36 - 223729*y**3/9 - 3790*y**2. Let p(d) = 0. Calculate d.
-946
Let o = 105 + 33. Let 36*z**4 - o*z**2 - 33*z**3 - 108*z + 335*z**5 - 320*z**5 + 4 - 28 = 0. What is z?
-2, -1, -2/5, 2
Let y(f) be the third derivative of -f**7/245 + 2*f**6/105 + 17*f**5/210 - f**4/42 - 8*f**3/21 + 78*f**2 - 1. Determine i, given that y(i) = 0.
-1, 2/3, 4
Let f(s) be the third derivative of s**10/982800 - s**9/30240 - s**5/30 - 5*s**4/12 + 6*s**2. Let b(k) be the third derivative of f(k). Solve b(h) = 0 for h.
0, 13
Let g(d) be the first derivative of 464/51*d**3 + 6/17*d**5 + 1/51*d**6 + 43/17*d**4 + 256/17*d + 103 + 288/17*d**2. What is u in g(u) = 0?
-4, -2, -1
Factor -312*x - 123 - 71*x**3 + 40*x**3 - 2*x**4 + 8*x**3 - 25*x**3 - 29 - 206*x**2.
-2*(x + 1)*(x + 2)**2*(x + 19)
Let b(u) = -88*u**2 + 960*u - 4172. Let a(f) = 37*f**2 - 384*f + 1669. Let v(n) = -12*a(n) - 5*b(n). Factor v(g).
-4*(g - 4)*(g + 52)
Let d = -45731/12 + 3811. Let i(g) be the first derivative of -1/8*g**2 + d*g**3 - 4 + 0*g. Let i(j) = 0. Calculate j.
0, 1
Let d(l) be the third derivative of l**5/30 + 169*l**4/12 + 56*l**3 + 3*l**2 + 3*l + 86. Factor d(v).
2*(v + 1)*(v + 168)
Factor 5/2*p**2 + 1/4*p**4 - 3*p**3 + 3*p - 11/4.
(p - 11)*(p - 1)**2*(p + 1)/4
Suppose -3*k = -12*k + 36. Factor k*h**2 - 8*h - 2*h - h + 8 - h.
4*(h - 2)*(h - 1)
Let i be -1 + 11 + ((-3)/(-15) - ((-22563)/(-805))/3). Let z be -18*1/((-42)/4). Suppose 2/7*t**5 + 6*t + i*t**4 - 18/7 - 20/7*t**2 - z*t**3 = 0. Calculate t.
-3, 1
Let b(l) = 2*l**3 + 5*l**2 - 3*l - 6. Let g be ((-45)/(-25) + -3)/(4/(-10)). Let j be b(g). Suppose 4*c + 98 + 56*c + 3*c**2 + j + 118 = 0. What is c?
-10
Let n(v) be the second derivative of 13*v**5/25 + 29*v**4/30 + v**3/5 - 964*v. Factor n(f).
2*f*(f + 1)*(26*f + 3)/5
Let y be (-2)/(-21) + (-1)/(-3). Let a be 200/210 + -3 + 3*(-21)/(-27). Factor -a - y*d - 1/7*d**2.
-(d + 1)*(d + 2)/7
Suppose -3*u + 15 = 0, -369*u + 371*u + 8 - 18 = 5*n. Factor -3/5*p**4 + n - 18/5*p - 3/5*p**2 + 12/5*p**3.
-3*p*(p - 3)*(p - 2)*(p + 1)/5
Let h = -250128 - -750394/3. Let h*l**2 + 1/3*l**3 + 0 - 8*l = 0. What is l?
-12, 0, 2
Let i(g) = 2*g**3 + 266*g**2 + 485*g - 5105. Let n be i(-131). Solve 0*t**3 - 16/3*t**2 - 32/3 + 2/9*t**n - 128/9*t = 0 for t.
-2, 6
Let -9/2*n**4 + 23/4*n - 67/4*n**3 + 3/2 - 8*n**2 = 0. Calculate n.
-3, -1, -2/9, 1/2
Let o(u) = 15*u**4 + 531*u**3 - 3688*u**2 + 8173*u - 4910. Let s(c) = 8*c**4 + 266*c**3 - 1840*c**2 + 4086*c - 2454. Let a(w) = 6*o(w) - 11*s(w). Factor a(n).
2*(n - 3)**2*(n - 1)*(n + 137)
Let j be (-127)/(-6) + 386 + -407. Let i(u) be the second derivative of -j*u**3 - 1/72*u**4 - 35*u + 0 - 3/4*u**2. Solve i(g) = 0.
-3
Let k(h) be the second derivative of -2*h**6/15 + 7*h**5/5 - 5*h**4 + 6*h**3 + 115*h + 5. Determine z, given that k(z) = 0.
0, 1, 3
Let b(j) be the second derivative of 1/16*j**4 + 0*j**2 + 1/40*j**5 - 1/12*j**3 - 3*j 