48*y - 2*y**2 = 0. What is y?
2
Let j(o) be the second derivative of 0 - 1/2*o**3 + 6/5*o**2 - 12*o + 1/20*o**4. Factor j(x).
3*(x - 4)*(x - 1)/5
Let l = -12893/7 + 1843. Determine f so that 6/7*f**3 + 3/7*f**5 + 0*f**2 + 0 - l*f**4 - 1/7*f = 0.
-1/3, 0, 1
Let i = -33 + 23. Let m = i + 13. Factor 3*j + j - m*j - j**3.
-j*(j - 1)*(j + 1)
Let v be 8/(-60)*(4/9 + 245/(-45)). Factor -8/3*b - v*b**2 + 10/3.
-2*(b - 1)*(b + 5)/3
Suppose 0 = 2*v - 8, -4*h + 4*v + v = 12. Suppose -3*o + o = -4. Determine p so that -16*p + 4*p**o + h - 2*p - 2*p + 14 = 0.
1, 4
Let t(z) = -z - 4. Let c be t(-4). Let x = -72 + 74. Factor -2*d**2 - 4*d**4 + c*d + 6*d - 4*d + 6*d**x - 2*d**5.
-2*d*(d - 1)*(d + 1)**3
Let v be ((-105)/(-2))/5*2/3. Factor 13*h**4 - 24*h**4 + v*h**4 - 8*h + 12*h**2 + 0*h.
-4*h*(h - 1)**2*(h + 2)
Find a such that 8*a + 2*a - 16*a**2 + 4*a**2 + 9*a**2 + 2*a = 0.
0, 4
Let p(v) = 47*v**4 + 17*v**3 - 26*v**2 + 4*v. Let u(d) = -140*d**4 - 49*d**3 + 79*d**2 - 12*d. Let w(f) = -7*p(f) - 2*u(f). Solve w(j) = 0.
-1, 0, 2/7
Suppose -2*w - 5*r + 15 = 0, -4*w = 3*r - 29 + 20. Factor 0 + 2/7*v**4 + 0*v + 2/7*v**3 + w*v**2.
2*v**3*(v + 1)/7
Let o(b) be the first derivative of -7/30*b**5 - 1/12*b**4 + 1/6*b**2 - 3 + 0*b + 7/18*b**3. Suppose o(g) = 0. Calculate g.
-1, -2/7, 0, 1
Suppose -5*z + 111 = -6*z + 5*q, z + 2*q + 146 = 0. Let r = z - -683/5. Suppose -1/5*b**2 + r*b + 0 = 0. What is b?
0, 3
Let o(j) be the first derivative of 0*j**3 + 4/3*j - 10 - 1/6*j**4 + j**2. Let o(y) = 0. What is y?
-1, 2
Factor 3/2*y**5 - 90*y**2 + 0 + 75/2*y + 69*y**3 - 18*y**4.
3*y*(y - 5)**2*(y - 1)**2/2
Let l(x) = -52*x - 257. Let u be l(-5). Determine d so that -4/9*d**4 - 2/9*d**u + 4/9*d**2 + 0*d + 0 + 2/9*d**5 = 0.
-1, 0, 1, 2
Let c(y) be the third derivative of 5*y**8/1008 - y**7/70 - 11*y**6/360 + 37*y**5/180 - 5*y**4/12 + 4*y**3/9 - 49*y**2. Find j, given that c(j) = 0.
-2, 4/5, 1
Solve 2*y**3 + 9*y - 165*y**2 - 2*y**3 - 51*y + 12*y**3 = 0.
-1/4, 0, 14
Let u(x) be the second derivative of 0*x**5 - 5/6*x**3 + 0 - 22*x + 5/42*x**7 + 5/6*x**4 + 0*x**2 - 1/3*x**6. Factor u(k).
5*k*(k - 1)**3*(k + 1)
Let v(u) be the second derivative of -u**5/12 + 35*u**4/24 - 25*u**3/3 - 3*u**2/2 - 29*u. Let r(f) be the first derivative of v(f). Factor r(y).
-5*(y - 5)*(y - 2)
Suppose -32 = -6*k - 2. What is r in -35*r**5 - 4*r**3 - 41*r**5 + 8*r**4 + 72*r**k = 0?
0, 1
Let f(j) be the second derivative of j**6/24 - 3*j**5/16 + 5*j**4/16 - 5*j**3/24 + j - 12. Let f(n) = 0. What is n?
0, 1
Let u(t) be the second derivative of -t**6/24 - t**5/6 - 5*t**4/24 + 2*t**2 + 20*t. Let y(o) be the first derivative of u(o). Suppose y(n) = 0. What is n?
-1, 0
What is s in 24/5 + 3/5*s**2 - 18/5*s = 0?
2, 4
Let b(x) = -35*x**4 - 205*x**3 + 575*x**2 - 25*x. Let i(t) = 3*t**4 + 17*t**3 - 48*t**2 + 2*t. Let c(f) = -2*b(f) - 25*i(f). Factor c(u).
-5*u**2*(u - 2)*(u + 5)
Let 0 + 12/7*b - 36/7*b**3 - 2*b**2 - 10/7*b**4 = 0. Calculate b.
-3, -1, 0, 2/5
Let t = -68/171 + 715/1368. Factor 0 + 3/8*k**3 - 1/8*k**4 + t*k - 3/8*k**2.
-k*(k - 1)**3/8
Let w(p) be the first derivative of 14 + 3*p**2 - 3*p + 3/16*p**4 - 5/4*p**3. Factor w(c).
3*(c - 2)**2*(c - 1)/4
Suppose -5*h - d + 250 = -2*d, h + 5*d - 50 = 0. Let o = 50 - h. Find b, given that 2/3*b**4 - 2/3*b**3 + 0*b**2 + o + 0*b = 0.
0, 1
Let b(a) be the first derivative of 4*a**3/21 - 16*a**2/7 - 36*a/7 - 849. Find y, given that b(y) = 0.
-1, 9
Let j(i) be the second derivative of i**5/4 - 35*i**4 + 1960*i**3 - 54880*i**2 + 40*i. Suppose j(m) = 0. Calculate m.
28
Let b(c) be the first derivative of -5*c**4/4 + 340*c**3/3 - 665*c**2/2 + 330*c + 116. Find w, given that b(w) = 0.
1, 66
Suppose 0*t**3 + 0 - 4/17*t**4 - 2/17*t + 2/17*t**5 + 4/17*t**2 = 0. Calculate t.
-1, 0, 1
Let s(o) be the second derivative of -o**6/75 + 3*o**5/50 - o**4/10 + o**3/15 + 104*o. Factor s(f).
-2*f*(f - 1)**3/5
Let h be (3*(-26)/273)/((-72)/112). Let 8/9*p**5 - 4/9*p - 2*p**4 + 2*p**2 - h*p**3 + 0 = 0. Calculate p.
-1, 0, 1/4, 1, 2
Let i(l) be the third derivative of 0 - 2/105*l**7 + 0*l**3 - 4*l**2 + 0*l - 1/3*l**4 - 1/3*l**5 - 2/15*l**6. Find k such that i(k) = 0.
-2, -1, 0
Suppose 32 = -66*x + 74*x. Let t(j) be the third derivative of 2/9*j**3 + 3*j**2 - 1/180*j**5 + 0*j**x + 0 + 0*j. Factor t(h).
-(h - 2)*(h + 2)/3
Determine q, given that 4/5*q**2 + 0*q**3 - 2/5 - 2/5*q**4 + 0*q = 0.
-1, 1
Let t = 37 - 28. Suppose -q + 40*q**2 + q - 37*q**2 + t*q = 0. What is q?
-3, 0
Let k(j) be the first derivative of -j**6/2 - 6*j**5/5 - 3*j**4/4 - 101. Suppose k(x) = 0. What is x?
-1, 0
Let d(s) = -s**3 + 8*s**2 - 10*s - 14. Let f be d(7). Let z be ((-10)/f - 0)/2. Factor 0 + 0*t - z*t**2.
-t**2/7
Let t(k) be the second derivative of 0 - 1/50*k**5 + 4/15*k**3 + 8/5*k**2 + 9*k + 1/75*k**6 - 1/5*k**4. Factor t(u).
2*(u - 2)**2*(u + 1)*(u + 2)/5
Suppose 160 + 82/5*a**2 - 176*a - 2/5*a**3 = 0. Calculate a.
1, 20
Let g(u) = 5*u**2 + 8*u + 11. Let n(p) = -6*p**2 - 10*p - 12. Let o(k) = 7*g(k) + 6*n(k). Factor o(j).
-(j - 1)*(j + 5)
What is y in 26*y**2 - 8*y + y**3 + 9*y**3 - 6*y**2 - 16 - 2*y**5 - 4*y**4 = 0?
-2, -1, 1, 2
Let d(i) be the first derivative of 1/30*i**5 + 0*i - 1/8*i**4 + 0*i**3 - 2 - 1/360*i**6 + i**2. Let w(v) be the second derivative of d(v). Factor w(g).
-g*(g - 3)**2/3
Let r = -20 - -23. Factor -2 - 18*i - 6*i**3 + 12*i**4 + 2*i + 22*i**r - 8*i**2 - 2.
4*(i - 1)*(i + 1)**2*(3*i + 1)
Let k(g) = -g**4 + g**3 + g. Let b = 72 + -66. Let w(n) = -14*n**4 + 18*n**3 + 16*n**2 - 6*n - 8. Let c(q) = b*k(q) - w(q). Solve c(t) = 0 for t.
-1, -1/2, 1, 2
Let k(w) be the second derivative of w**7/168 - 7*w**6/20 + w**5/2 + 7*w**4/8 - 41*w**3/24 - 844*w. Find b, given that k(b) = 0.
-1, 0, 1, 41
Let u(n) = -10*n**2 + 9*n. Let p(h) = 421 + 4*h - 5*h**2 - 421. Let w(g) = 11*p(g) - 6*u(g). Factor w(q).
5*q*(q - 2)
Factor -2*x**3 - 6*x**2 - 1579*x**4 + 2*x**5 + 0*x**5 + 1585*x**4.
2*x**2*(x - 1)*(x + 1)*(x + 3)
Find q, given that -18781*q + 165*q**3 - 34*q**2 + 18841*q - 40 + 14*q**4 + 21*q**4 + 264*q**2 = 0.
-2, -1, 2/7
Let a(q) be the third derivative of 13*q**5/15 - 29*q**4/12 + q**3 + 134*q**2. Solve a(k) = 0.
3/26, 1
Factor -5/2 + 1/2*z**3 - 3/2*z**2 - 9/2*z.
(z - 5)*(z + 1)**2/2
Let a(i) be the third derivative of -i**8/1008 + i**7/315 + i**6/90 - i**5/90 - i**4/24 - 236*i**2. Solve a(t) = 0.
-1, 0, 1, 3
Let 1/3*u**3 + 2/3*u**2 + 8 - 20/3*u = 0. Calculate u.
-6, 2
Let t(g) be the third derivative of g**7/1680 + g**6/144 + 7*g**5/240 + g**4/16 - 3*g**3 + 5*g**2. Let i(o) be the first derivative of t(o). Factor i(l).
(l + 1)**2*(l + 3)/2
Let f(q) be the third derivative of 0 + 0*q**3 - 1/1200*q**6 + 0*q + 0*q**4 + 4*q**2 - 1/600*q**5. Factor f(o).
-o**2*(o + 1)/10
Let s be 60/(-200) - 82/(-140) - -2. Let 2*d**5 - s - 88/7*d**4 - 220/7*d**2 + 104/7*d + 206/7*d**3 = 0. Calculate d.
2/7, 1, 2
Solve -11/6*u**4 + u + 0 + u**5 - 11/3*u**3 + 1/6*u**2 = 0.
-1, -2/3, 0, 1/2, 3
Let c(p) be the second derivative of -15*p + 0*p**2 + 5/3*p**3 + 1/6*p**4 + 0. Factor c(t).
2*t*(t + 5)
Let z(u) = -443*u**4 + 730*u**3 + 526*u**2 + 80*u + 2. Let k(l) = -l**4 + l**3 + l**2 + 1. Let f(s) = -6*k(s) + 3*z(s). Solve f(j) = 0 for j.
-2/7, 0, 20/9
Let j(i) be the third derivative of 6*i**2 - 5/21*i**4 - 1/84*i**6 - 1/1470*i**7 + 0 + 0*i - 8/21*i**3 - 11/140*i**5. Factor j(r).
-(r + 1)**2*(r + 4)**2/7
Let j(d) be the third derivative of -d**6/60 + d**5/6 - 2*d**4/3 + 4*d**3/3 - 3*d**2 - 44. Factor j(s).
-2*(s - 2)**2*(s - 1)
Let m be (12/(-8))/(9/(-12)). Factor -12 - 2*s**m + 8*s**2 - 10*s - 2*s**2 - 6*s**2.
-2*(s + 2)*(s + 3)
Let r(j) be the first derivative of -j**6/39 + 16*j**5/65 - 3*j**4/13 - 16*j**3/39 + 7*j**2/13 + 82. Let r(p) = 0. Calculate p.
-1, 0, 1, 7
Let f(i) = 80*i**4 + 1565*i**3 + 6130*i**2 + 6750*i - 110. Let x(q) = -3*q**4 - 58*q**3 - 227*q**2 - 250*q + 4. Let z(r) = 2*f(r) + 55*x(r). Factor z(c).
-5*c*(c + 2)*(c + 5)**2
Let d(g) be the second derivative of -g**4/36 + 17*g**3/18 - 5*g**2 + 251*g. Factor d(x).
-(x - 15)*(x - 2)/3
Let d(q) be the first derivative of -q**6/12 - 13*q**5/10 - 11*q**4/4 - 208. Factor d(z).
-z**3*(z + 2)*(z + 11)/2
Let p(l) = -2*l**2 - 42*l + 2. Suppose 40 + 2 = -2*x. Let h be p(x). Factor 3/7*b**h + 12/7 + 12/7*b.
3*(b + 2)**2/7
Let r(x) be the third derivative of -x**6/30