15*q + 16. Let m be 2/(-8)*-4*-6 + -5. Let d(f) = m*w(f) - 6*z(f). Factor d(u).
-(u - 2)*(u + 11)
Let l(y) be the third derivative of -y**7/12600 - y**6/900 + y**5/50 + 25*y**4/8 + 12*y**2. Let h(n) be the second derivative of l(n). Factor h(v).
-(v - 2)*(v + 6)/5
Let g be (-2776)/3680 - (-21)/28. Let u = 917/690 - g. Determine y so that u*y + 4 - 20/9*y**2 + 4/9*y**3 = 0.
-1, 3
What is b in 428/3*b**4 - 70/3*b**5 - 130*b**3 - 8/3*b**2 + 40/3*b + 0 = 0?
-2/7, 0, 2/5, 1, 5
Let v(w) be the third derivative of 162*w**2 + 0*w**3 - 5/36*w**4 - 1/60*w**5 + 0*w + 1/360*w**6 + 0. Suppose v(f) = 0. Calculate f.
-2, 0, 5
Suppose -96*b - 15 = -101*b. Suppose 8*a - a**4 + 572*a**2 - 587*a**2 + 8*a**b - 2*a**3 + 2*a**4 = 0. Calculate a.
-8, 0, 1
Suppose -19*r - 72 = 23. Let g(y) = y**3 + y**2 + y + 2. Let k(t) = 3*t**3 + 13*t**2 - 5*t + 14. Let x(l) = r*g(l) + k(l). Factor x(w).
-2*(w - 2)*(w - 1)**2
Let u(z) = -z**3 + z**2 + z + 1. Let c(x) = -x**3 + 3*x**2 + 2. Suppose f + 2*f = -60. Let o = f - -15. Let w(v) = o*c(v) + 10*u(v). Factor w(m).
-5*m*(m - 1)*(m + 2)
Suppose 142*t - 74 = 140*t + 5*r, -39*t + 2*r + 106 = 0. Let 60/7*a**5 + 48*a**t - 88/7*a**3 - 296/7*a**4 - 40/7 + 4*a = 0. What is a?
-1, -2/5, 1/3, 1, 5
Let w(k) = k**3 + 84*k**2 + 3066*k + 32762. Let j = 7 + -13. Let v(y) = y**3 + 82*y**2 + 3065*y + 32761. Let n(r) = j*v(r) + 7*w(r). Let n(g) = 0. What is g?
-32
Find y, given that 3/4*y**2 + 513/4 + 45*y = 0.
-57, -3
Let 58/7*g + 120/7 - 1/7*g**2 = 0. What is g?
-2, 60
Factor -1/2*n**2 + 3055*n - 9333025/2.
-(n - 3055)**2/2
Let w(r) = -7*r**3 + 76*r**2 - 320*r - 397. Let a(k) = -15*k**3 + 152*k**2 - 640*k - 793. Let z(l) = -3*a(l) + 7*w(l). Factor z(v).
-4*(v - 10)**2*(v + 1)
Let l be (-3 - 11)*1/2. Let q = l + 8. Let w(f) = -5*f**4 + 7*f**3 - 2*f**2 - 3*f + 3. Let c(g) = -g**4 + g**3 - g + 1. Let m(i) = q*w(i) - 3*c(i). Factor m(x).
-2*x**2*(x - 1)**2
Solve 0 - 78/5*o**3 + 114/5*o**2 - 6/5*o**5 - 74/5*o**4 + 44/5*o = 0 for o.
-11, -2, -1/3, 0, 1
Let i(y) be the second derivative of -15*y**2 - 3/20*y**5 - 40 + 19/2*y**3 + y - 2*y**4. Suppose i(b) = 0. What is b?
-10, 1
Let r(v) = 7*v**2 + 42*v - 42. Let j be r(1). Let x be ((-126)/(-12))/j - (-282)/(-204). Factor 2/17*a**3 + 0 - x*a + 0*a**2.
2*a*(a - 1)*(a + 1)/17
Let s be ((-57)/76*(-2)/9)/((-4)/(-9)). Let t(k) be the first derivative of 1/8*k**2 + s*k - 29 - 1/24*k**3. Solve t(b) = 0 for b.
-1, 3
Solve 18606*z**3 - 37153*z**3 - 102*z**2 + 10*z**4 + 50*z - 214*z - 48 + 18571*z**3 = 0 for z.
-4, -1, -2/5, 3
Factor 5*w**4 - 1482 + 25*w - 41*w**3 + 2*w**2 + 13*w**2 + 16*w**3 + 1462.
5*(w - 4)*(w - 1)**2*(w + 1)
Let m(j) be the third derivative of j**6/180 + 47*j**5/90 + 29*j**4/12 - 15*j**3 + 2014*j**2. Suppose m(u) = 0. Calculate u.
-45, -3, 1
Let f be (-3)/12 + (-342)/8. Let t = f - -45. Let 170 - 168 - 12*u**2 - 4*u**t + 14*u = 0. What is u?
-1/8, 1
Solve -3/4*l**4 - 292383*l - 580791/4*l**2 - 146523 + 1323/2*l**3 = 0.
-1, 442
Let x(d) be the second derivative of -d**5/50 - 97*d**4/10 + 39*d**3 - 293*d**2/5 + 958*d. Let x(y) = 0. Calculate y.
-293, 1
Let p(o) = -13*o**2 - 9*o - 1. Let q be p(-5). Let a = q - -283. Let 1/2*z**4 + 0 + 0*z**3 - a*z**2 + 0*z = 0. Calculate z.
-2, 0, 2
Let k(b) be the third derivative of -b**7/630 - b**6/40 - 13*b**5/180 + 5*b**4/8 + 25*b**3/9 + 9*b**2 - 51*b. Factor k(t).
-(t - 2)*(t + 1)*(t + 5)**2/3
Solve -292/3 - 2/9*c**3 - 872/9*c**2 + 1750/9*c = 0.
-438, 1
Solve 492/5*h**2 - 48*h + 36/5*h**3 + 0 + 6/5*h**5 - 123/5*h**4 = 0.
-2, 0, 1/2, 2, 20
Let v be (1222/(-1645))/((-364)/700). Let -1/7*n**3 - 3*n + v + 12/7*n**2 = 0. Calculate n.
1, 10
Let m be (-13)/(-7) + (1 - (-2 - -4)). Let f be 12/174 - 510/(-6902). Factor f*s**2 - 5/7*s + m.
(s - 3)*(s - 2)/7
Let a(m) be the first derivative of 0*m + 1/2*m**2 + 3/10*m**5 + 113 - 1/2*m**3 - 1/4*m**4. Let a(q) = 0. What is q?
-1, 0, 2/3, 1
Let u(b) be the second derivative of -19*b + 0*b**2 + 1/80*b**5 + 1/3*b**3 + 1/8*b**4 + 0. Factor u(c).
c*(c + 2)*(c + 4)/4
Suppose 12*c - 5*c = -7. Let i(z) = z**4 - z**3 - z. Let o(d) = -5*d**5 - 9*d**4 + 18*d**3 - 4*d**2 + 6*d. Let l(s) = c*o(s) - 6*i(s). What is r in l(r) = 0?
-2, 0, 2/5, 1
Let o = -104 + 109. Let p(f) = -10*f**4 + 55*f**3 - 40*f**2 + 5*f. Let s(r) = r**4 + r**3 + r. Let j(q) = o*s(q) - p(q). Factor j(g).
5*g**2*(g - 2)*(3*g - 4)
Let i = -3205/6 + 32059/60. Let y(x) be the first derivative of 1/5*x**3 - 3/5*x - 2 - i*x**4 + 3/10*x**2. Suppose y(u) = 0. What is u?
-1, 1
Let s(d) = -24*d**4 + 1468*d**3 - 1486*d**2 - 14*d + 28. Let o(a) = 5*a**4 - 293*a**3 + 297*a**2 + 3*a - 6. Let l(f) = 14*o(f) + 3*s(f). Solve l(k) = 0 for k.
0, 1, 150
Suppose -12*g + 16368 = 10*g. Let j = g - 744. Find i such that -4/7*i**2 + j*i + 0 - 2/7*i**3 + 2/7*i**4 = 0.
-1, 0, 2
Find y such that 955*y**3 - 3*y**3 + 130*y + 1280*y**2 + 176*y**4 - 4*y**5 - 2562*y - 52*y**4 + 80*y**3 = 0.
-4, 0, 1, 38
Factor 458/7 + 2/7*f**3 - 914/7*f + 454/7*f**2.
2*(f - 1)**2*(f + 229)/7
Let j be (-430)/(-387) + 24/27. Let y(r) be the second derivative of 1/4*r**4 - 2*r**j + 0 + 1/20*r**5 + 0*r**3 - 5*r. Determine g, given that y(g) = 0.
-2, 1
Let v(g) be the first derivative of 4335*g**4/4 - 5712*g**3 - 2034*g**2/5 - 48*g/5 + 1194. Determine c, given that v(c) = 0.
-2/85, 4
Let z(s) be the second derivative of s**6/630 + 22*s**5/35 + 726*s**4/7 - 77*s**3/3 - 5*s + 6. Let a(q) be the second derivative of z(q). Factor a(u).
4*(u + 66)**2/7
Let n(d) be the first derivative of 51/2*d**2 + d**3 - 54*d - 78. Suppose n(t) = 0. Calculate t.
-18, 1
Let j = 211 + -176. Factor 2361 - 35*z**4 - 2430*z**2 - 176*z**3 + 4235 - z**5 - 274*z**3 - j - 3645*z.
-(z - 1)*(z + 9)**4
Let b(o) = -37*o - 258. Let d be b(-7). Let g be (34/(-748))/(d/(-4)). Solve 2/11*i**3 + 0*i + 0 + g*i**4 + 0*i**2 = 0 for i.
-1, 0
Factor -3*y**2 - 849*y + 25*y + 4806 - 1997*y - 1982*y.
-3*(y - 1)*(y + 1602)
Let z(p) be the third derivative of 1/84*p**4 - 45*p + 0 - 1/420*p**5 + 1/14*p**3 - 2*p**2. Factor z(a).
-(a - 3)*(a + 1)/7
Let b = 7344 - 7344. Let o(c) be the first derivative of -12 + 0*c - 9/4*c**4 - 12/5*c**5 + 0*c**3 + b*c**2 - 1/2*c**6. Factor o(t).
-3*t**3*(t + 1)*(t + 3)
Suppose 0 = 2*x + 8*g - 142, 169*x + 2*g - 28 = 171*x. Let 0*s - 53/4*s**2 + 0 - 1/4*s**x = 0. Calculate s.
-53, 0
Suppose 0 = 166*s - 167*s + 744. Factor -51*x**2 + 115*x - 739*x**5 + 12*x**3 + 108*x**3 + 221*x**2 + s*x**5 + 29*x**4 + 11*x**4 + 30.
5*(x + 1)**3*(x + 2)*(x + 3)
Let b(x) be the third derivative of -x**8/16 - 157*x**7/70 - 43*x**6/2 - 284*x**5/5 + 120*x**4 + x**2 + 190*x + 7. Solve b(i) = 0 for i.
-15, -4, 0, 4/7
Let g(x) = -7*x**2 + 29770*x + 56460130. Let q(i) = 2*i**2 - 7436*i - 14115031. Let l(j) = -6*g(j) - 22*q(j). Factor l(t).
-2*(t + 3757)**2
Determine u, given that 0 + 2/5*u**4 + 62/5*u**3 + 0*u + 12*u**2 = 0.
-30, -1, 0
Suppose 257*h = 1102*h - 1706 - 1674. Determine g so that -9/2*g + 6*g**2 + 9/2*g**3 - 27/4 + 3/4*g**h = 0.
-3, -1, 1
Determine n, given that -1/3*n**3 - 32/3 - 20/3*n + 11/3*n**2 = 0.
-1, 4, 8
Find x such that 37/4*x**2 - x + 1/4*x**3 - 37 = 0.
-37, -2, 2
Let u be ((-798)/(-28) + -28)*0. Suppose -1/2*y + 1/2*y**3 + u*y**2 + 0 = 0. What is y?
-1, 0, 1
Let l(m) be the first derivative of m**7/4620 - m**6/495 - m**5/60 - m**4/22 + m**3/3 - m**2 + 118. Let v(c) be the third derivative of l(c). Factor v(w).
2*(w - 6)*(w + 1)**2/11
Let f(d) be the third derivative of 0 + 1/24*d**6 + 19/12*d**5 - 64*d**2 - 2*d + 10/3*d**4 - 30*d**3. Factor f(a).
5*(a - 1)*(a + 2)*(a + 18)
Let u be (-44)/(-3) + (-5848)/408. Find s such that 121/3 - 22/3*s + u*s**2 = 0.
11
Let r = -419957/20 + 20998. Let c(z) be the second derivative of 0 + 3*z + r*z**5 - 3/4*z**4 + 0*z**3 + 6*z**2. Suppose c(g) = 0. What is g?
-1, 2
Factor 4*r + 2/11*r**2 - 96/11.
2*(r - 2)*(r + 24)/11
Let b(u) be the first derivative of -2*u**7/21 + 2*u**6/15 + 182*u + 250. Let h(s) be the first derivative of b(s). Determine d, given that h(d) = 0.
0, 1
Let x(c) be the third derivative of 0*c**3 + 2 + 1/8*c**6 + 0*c - 1/6*c**5 - 19*c**2 - 5/24*c**4. Factor x(p).
5*p*(p - 1)*(3*p + 1)
Let p(c) = -c**3 - 3*c**2 - 1. Let u(k) = -20*k**3 + 20*k**2 - 170*k + 36. Let s(h) = -28*p(h) + 2*u(h). Find v, given that s(v) = 0.
1/3, 5
Let k = -2167686/87815 - 18/17563. Let y = -170/7 - k. F