29*k**4/48 - k**3 - k**2/2 + 5*k - 1. Suppose z(v) = 0. Calculate v.
-2, -1, -2/9
Let k(p) = -2*p + 1. Let b be k(-3). Suppose 21 = 2*v + b. Let 4*t**3 - 3*t**5 - 8*t**3 + v*t**3 = 0. Calculate t.
-1, 0, 1
Suppose 334*a = 321*a + 39. Factor 2/3*n**4 - 4/3*n**2 + 2/3*n + 2/3 + 2/3*n**5 - 4/3*n**a.
2*(n - 1)**2*(n + 1)**3/3
Solve -22*u**2 + 43*u**2 - 6*u**4 + 3*u**4 - 18*u**3 = 0.
-7, 0, 1
Suppose 1 = -z - h, 0 = 4*h + 3 + 9. Suppose 20 = 5*m, -6*w + 3*m - 4 = -z*w. Factor w - 3*u**2 + 2 - 5 + 4*u.
-(u - 1)*(3*u - 1)
Let c(k) be the second derivative of k**6/360 - 7*k**5/120 + 7*k**4/48 + k**3/2 + 18*k + 1. Solve c(j) = 0.
-1, 0, 3, 12
Let a(n) be the first derivative of -3/20*n**4 - 51 + 0*n - 1/25*n**5 - 1/10*n**2 - 1/5*n**3. Factor a(g).
-g*(g + 1)**3/5
Let r(u) be the first derivative of -u**6/9 + 56*u**5/15 - 13*u**4 + 152*u**3/9 - 25*u**2/3 - 172. Factor r(y).
-2*y*(y - 25)*(y - 1)**3/3
Let h(b) be the third derivative of 8 + 0*b + 5*b**2 + 0*b**3 + 1/30*b**6 - 2/105*b**7 - 1/6*b**4 + 1/15*b**5. What is x in h(x) = 0?
-1, 0, 1
Let n(r) be the first derivative of r**5/60 - r**4/32 - r**3/24 + r**2/2 - 18. Let q(s) be the second derivative of n(s). What is y in q(y) = 0?
-1/4, 1
Suppose 2*x - 21 = y - 3*x, 4*x = 2*y + 12. Let f(t) = -18*t**2 + y*t**2 + t + 5*t**2. Let i(h) = 2*h**2. Let d(v) = -6*f(v) - 26*i(v). Factor d(n).
2*n*(n - 3)
Suppose 8*q = 3*q - 4*j + 40, -11 = q - 3*j. Let o be 3 + (20/(-8) - 1/q). Factor -o*w - 1/8*w**2 + 0.
-w*(w + 2)/8
Factor 0 - 28/9*f**3 + 8/9*f**4 + 4/9*f**5 + 0*f + 16/9*f**2.
4*f**2*(f - 1)**2*(f + 4)/9
Let s be (-58)/(-8) + 9 + -26 + 10. Determine d, given that -1 - s*d**4 - 13/4*d**2 - 3*d - 3/2*d**3 = 0.
-2, -1
Let j(h) = -4*h**3 + 66*h**2 - 122*h + 58. Let r(p) = -12*p**3 + 197*p**2 - 365*p + 173. Let i(d) = 7*j(d) - 2*r(d). Find k, given that i(k) = 0.
1, 15
Let i(g) be the second derivative of 3*g**5/4 - 85*g**4/12 + 55*g**3/3 - 20*g**2 + 369*g. Determine z, given that i(z) = 0.
2/3, 1, 4
Let v(k) be the second derivative of k**7/168 + 11*k**3/6 - 5*k. Let f(j) be the second derivative of v(j). Factor f(z).
5*z**3
Let s(b) be the first derivative of -b**3/15 - 7*b**2/5 - 13*b/5 - 33. Factor s(p).
-(p + 1)*(p + 13)/5
Find b, given that 2/11*b**5 + 32/11*b**2 - 12/11*b**4 + 64/11 + 120/11*b - 38/11*b**3 = 0.
-2, -1, 2, 8
Let j be 7/35 + 123/(-60)*-6. Let n = -56 + 58. Factor -5/2*b**3 - j*b - 10*b**n - 5.
-5*(b + 1)**2*(b + 2)/2
Let a(k) = 2*k**3 + 2*k**2 - k - 1. Let t(h) = 42*h**4 - 1266*h**3 + 12470*h**2 - 40795*h - 3995. Let b(g) = -10*a(g) - 2*t(g). Factor b(r).
-4*(r - 10)**3*(21*r + 2)
Let i(y) be the third derivative of -y**6/540 + 11*y**5/270 + 25*y**4/108 + 13*y**3/27 + 210*y**2. Determine z, given that i(z) = 0.
-1, 13
Let a = -11/120 + 4397/840. Let 48/7*s + 0 + 120/7*s**4 - 16*s**2 - a*s**5 - 4/7*s**3 = 0. Calculate s.
-1, 0, 2/3, 3
Let r be 3*-35*(-6)/(-5). Let w be (r/24 - -6)*4. Factor -4/17*j**w - 2/17*j**4 + 0*j**2 + 0*j + 2/17*j**5 + 0.
2*j**3*(j - 2)*(j + 1)/17
Suppose -634 + 22 = -6*s. Suppose -s*l**2 - 12*l**2 - 82*l + 26*l**2 - 20 - 8*l**3 = 0. What is l?
-10, -1/2
Let i(a) be the third derivative of -2*a**7/21 - a**6/10 + 7*a**5/15 + a**4/2 - 4*a**3/3 + 23*a**2. Solve i(n) = 0 for n.
-1, 2/5, 1
Let g(o) be the second derivative of 250*o**7/21 + 20*o**6 - 88*o**5 - 592*o**4/3 - 160*o**3 - 64*o**2 - 86*o. What is z in g(z) = 0?
-2, -2/5, 2
Let f(z) be the first derivative of 162/7*z + 41 + 18/7*z**2 + 2/21*z**3. Factor f(b).
2*(b + 9)**2/7
Let m(d) be the first derivative of -9*d**4/2 + 32*d**3 - 64*d**2 + 112. Factor m(o).
-2*o*(3*o - 8)**2
Let q(v) = 11*v**4 + 22*v**3 + 84*v**2 + 128*v + 55. Let b(c) = 5*c**4 + 11*c**3 + 42*c**2 + 64*c + 28. Let t(y) = 9*b(y) - 4*q(y). Factor t(u).
(u + 1)*(u + 2)*(u + 4)**2
Let p(i) be the second derivative of -2*i**6/45 + 2*i**5/15 + 34*i. Let p(g) = 0. Calculate g.
0, 2
What is y in 87*y + 7*y**3 - 90*y**2 + 13*y + 17*y**3 - 2*y**4 = 0?
0, 2, 5
Suppose 3*r - 2*r = 2*a - 5, 3*a - 10 = r. Let j(w) be the second derivative of -3/20*w**r + 1/8*w**4 + 0*w**2 + 0 + 6*w + 1/20*w**6 + 0*w**3. Factor j(z).
3*z**2*(z - 1)**2/2
Let b be 27*((-88)/(-1540) - (1 + (-51)/45)). Determine j, given that -12/7*j**3 + 3*j**5 + b*j**4 + 6/7 - 6*j**2 - 9/7*j = 0.
-1, 2/7, 1
Let x(j) = j + 14. Let q be x(-12). Suppose -12 = 3*p, -2*p + 7*p + 26 = q*n. Factor -g**2 - n*g**5 + 4*g - 6*g**4 - g + 7*g**2.
-3*g*(g - 1)*(g + 1)**3
Let h(w) be the first derivative of -w**4/27 + 4*w**3/9 + 14*w**2/9 + 5*w - 2. Let k(l) be the first derivative of h(l). Suppose k(z) = 0. Calculate z.
-1, 7
Suppose -41 = -y - 5*s, -41 = 3*y - 4*y + 2*s. Let l be (3/(-4) + 1)*(y - 33). Suppose -l*o + 0 + 10/3*o**2 - 14*o**4 + 38/3*o**3 = 0. What is o?
-3/7, 0, 1/3, 1
Factor 0*i - 18/17*i**2 + 0 - 2/17*i**3.
-2*i**2*(i + 9)/17
Let z(y) be the first derivative of y**6/8 + 3*y**5/20 - 15*y**4/16 - 5*y**3/4 + 3*y**2/2 + 3*y - 88. Find p, given that z(p) = 0.
-2, -1, 1, 2
Let u(t) = t + 10. Let c be u(-8). Factor 80 + 8*p**c - 15*p**2 + 12*p**2 - 40*p.
5*(p - 4)**2
Let s be (-4 - (-2512)/28)*7. Factor -23*r**4 - 80 + 480*r - 24*r**4 + s*r**3 - 920*r**2 - 78*r**4.
-5*(r - 2)**2*(5*r - 2)**2
Let t be (2 - (-93)/(-45))*((-10)/5 - 52). Solve -27/5 + t*v - 3/5*v**2 = 0 for v.
3
Let r(h) = -8*h**4 - 8*h**3 - 40*h**2 - 28*h + 96. Let y(b) = b**4 + b**3 + b. Let u(c) = r(c) + 12*y(c). Suppose u(x) = 0. What is x?
-3, -2, 2
Let d(r) be the second derivative of 0 + 3*r**2 + 48*r + 3/5*r**5 - 7/2*r**3 + r**4. Find c, given that d(c) = 0.
-2, 1/2
Let n = 3 + -1. Let -10*v**2 + 15*v**2 - 11*v**2 - n*v**4 - 6*v**3 - 2*v = 0. What is v?
-1, 0
Let i(q) be the second derivative of -3*q**5/80 - 29*q**4/16 - 55*q**3/8 - 81*q**2/8 - 31*q. Factor i(o).
-3*(o + 1)**2*(o + 27)/4
Suppose 3/8*t**4 - 15/4*t + 3/2*t**3 - 9/8*t**2 + 3 = 0. Calculate t.
-4, -2, 1
Let n = 16 + -13. Suppose 0 = -n*b + 65 + 13. Let -27*z**2 + 9 - 3 - 5*z + b*z = 0. Calculate z.
-2/9, 1
Let 94/7*v - 2/7*v**2 + 96/7 = 0. Calculate v.
-1, 48
Let y(u) be the second derivative of u**6/8 - 33*u**5/80 + 3*u**4/8 - 166*u. Solve y(o) = 0 for o.
0, 1, 6/5
Let t(f) = -3*f**2 - 10*f + 92. Let h be t(4). Factor -3*p**3 + 0*p + 0 + 3/2*p**h + 0*p**2.
3*p**3*(p - 2)/2
Let n be 496/54 - (-62 + 70). Let b(v) be the second derivative of -4/9*v**2 - 77/54*v**4 + 49/90*v**5 + 0 + n*v**3 + 4*v. Factor b(a).
2*(a - 1)*(7*a - 2)**2/9
Factor 352/5*t + 8*t**3 + 224/5 + 192/5*t**2 + 2/5*t**4.
2*(t + 2)**3*(t + 14)/5
Find q such that 114/5*q**2 + 0*q + 3/5*q**3 - 18/5*q**4 - 3/5*q**5 - 96/5 = 0.
-4, -1, 1, 2
Suppose 0 = -7*r + 24*r - 68. Let k(j) be the second derivative of 0*j**r - 1/50*j**5 + 2/5*j**2 + 0 + 6*j + 1/5*j**3. Factor k(s).
-2*(s - 2)*(s + 1)**2/5
Let g(v) = v**2 + 25*v - 710. Let t be g(-42). Factor 1/2*a**2 + 0*a + 0 + 3/4*a**t - 5/4*a**3.
a**2*(a - 1)*(3*a - 2)/4
Let r = 5075 + -5071. Factor -6*y**2 + 22/3*y + 2/3*y**3 - 8/3 + 2/3*y**r.
2*(y - 1)**3*(y + 4)/3
Suppose 3*h + 5*b + 918 = 0, 5*h + 1508 = -0*h - b. Let f = -301 - h. Factor 1/4 + f*a + 1/2*a**3 - 3/4*a**2.
(a - 1)**2*(2*a + 1)/4
Let j(t) be the first derivative of -t**4/16 - 179*t**3/12 - 8099*t**2/8 - 7921*t/4 + 409. Let j(f) = 0. Calculate f.
-89, -1
Let l(b) = 6*b**4 + 2*b**3 + 38*b**2 + 11*b - 18. Let g(a) = -2*a**4 - 12*a**2 - 4*a + 6. Let t(i) = -13*g(i) - 4*l(i). What is u in t(u) = 0?
-1, 1, 3
Let i(o) be the second derivative of -o**5/60 - 25*o**4/48 + 13*o**3/12 - 6*o**2 - 9*o. Let h(z) be the first derivative of i(z). Factor h(t).
-(t + 13)*(2*t - 1)/2
Solve -81/2*h - 2*h**4 + 139*h**2 - 153/2*h**3 - 20 = 0 for h.
-40, -1/4, 1
Let g be (((-105)/(-10))/(-3))/((-4)/8). Let b(l) = -l**3 + 6*l**2 + 10*l - 17. Let p be b(g). Factor -8 - p*q - 1/2*q**2.
-(q + 4)**2/2
Let j = -14 + 17. Suppose 14*l**j - l**2 + 1 + l + 11*l**3 - 26*l**3 = 0. Calculate l.
-1, 1
Let f be (-45)/70 - 6/(-4). Let h = -75/7 + 11. Factor f*w + 0 - h*w**2.
-2*w*(w - 3)/7
Let j(q) be the first derivative of 9/4*q**4 + 9/2*q**2 - 6*q + 8*q**3 - 3. Suppose j(h) = 0. Calculate h.
-2, -1, 1/3
Suppose 5*v = -3*d - 28 - 25, 0 = -2*d - 4*v - 32. Let c(n) = 9*n**2 - 13*n + 16. Let w(m) = -2*m**2 + 3*m - 4. Let f(s) = d*w(s) - 6*c(s). Factor f(i).
-2*(i - 2)*(i + 2)
Factor 120*o - 140 - 23*o**3 + 3*o**2 - 22*o**3 - 18*o**