00 - k**9/302400 - k**5/3 + 31*k**2. Let i(d) be the third derivative of w(d). Solve i(t) = 0 for t.
-1/5, 0
Let n be 16/20*(-5)/(-2). Find k, given that 4*k**3 + 0*k**n - 12*k**2 - 4*k**2 + 8*k + 4*k**2 = 0.
0, 1, 2
Let j(o) be the third derivative of -1/8*o**4 + 0*o + 1/3*o**3 + 0 + 19*o**2 + 1/60*o**5. Factor j(c).
(c - 2)*(c - 1)
Suppose w = 4*j - 2, -j - 3 = -4*w + 4. Factor -30*g**w + 2*g**3 + 22*g + 4*g**2 + 14*g**2 - 12 + 0.
2*(g - 3)*(g - 2)*(g - 1)
Let l(b) = -2*b**5 + 10*b**4 - 14*b**3 - 2*b**2 + 16*b - 13. Let h(v) = -1. Suppose 1 - 41 = -8*i. Let a(r) = i*h(r) - l(r). Let a(u) = 0. Calculate u.
-1, 1, 2
What is t in 8*t**2 - 32448 - 9590*t + 8966*t - 11*t**2 = 0?
-104
Suppose 0 = -z - z + 2*o + 38, 3*o + 75 = 4*z. Factor -2*g**2 - z*g**2 + 34*g**3 + 15*g - 29*g**3.
5*g*(g - 3)*(g - 1)
Suppose 3*i - 4*i + 78 = 5*m, -3*m - 4*i + 40 = 0. Suppose 5*n = -4*r + 28, r - 4*n = -20 + 6. Find l such that 0*l**r - m*l - 2 - 4 - 4*l**2 - 10 = 0.
-2
Factor 9*l**5 + 3*l**2 + 7*l**3 - 1448*l**4 + 1433*l**4 - 4*l**2.
l**2*(l - 1)*(3*l - 1)**2
Let r(y) = y**5 - y**3 + y**2 + y. Let m(c) = 4*c**5 + 33*c**4 + 35*c**3 - 43*c**2 - 51*c + 16. Let q(v) = 2*m(v) + 6*r(v). Factor q(b).
2*(b - 1)*(b + 2)**3*(7*b - 2)
Let q = -38 + 53. Suppose -v + q = 12. Factor -6*z + 8*z**2 + 4*z - 4*z**v - 2*z.
-4*z*(z - 1)**2
Let g = -347 + 349. Let d(b) be the third derivative of -4*b**g + 0*b + 1/4*b**4 + 0 + 1/20*b**5 + 0*b**3. Factor d(h).
3*h*(h + 2)
Let w = 2987 + -14931/5. Factor 2/5*b**4 - 2/5*b**2 + w*b**3 + 0 - 4/5*b.
2*b*(b - 1)*(b + 1)*(b + 2)/5
Let d(s) be the second derivative of 1/90*s**5 + 5*s + 0 + 1/36*s**4 - 1/2*s**3 + 1/540*s**6 + 0*s**2. Let h(u) be the second derivative of d(u). Factor h(y).
2*(y + 1)**2/3
Let k(u) be the second derivative of 3*u**5/5 + u**4/3 - 8*u**3/3 - 238*u. Factor k(i).
4*i*(i - 1)*(3*i + 4)
Let h(l) be the second derivative of l**2 - 1/5*l**5 + 1/6*l**4 + 0 + 28*l - 1/42*l**7 + 5/6*l**3 - 2/15*l**6. Find p such that h(p) = 0.
-2, -1, 1
Let b(z) be the first derivative of 2 - 1/42*z**4 + 3*z + 0*z**3 + 1/7*z**2. Let g(l) be the first derivative of b(l). Factor g(a).
-2*(a - 1)*(a + 1)/7
Let t(n) = -2*n**2 + 30*n - 50. Let p(l) = 1. Let m(b) = 44*p(b) + 2*t(b). Solve m(s) = 0.
1, 14
Let p(y) be the second derivative of 0 - 3/10*y**5 - 6*y + y**3 - 1/6*y**4 + y**2. Determine w so that p(w) = 0.
-1, -1/3, 1
Let z(s) be the first derivative of -5/4*s**4 + 80*s - 35/3*s**3 - 10 - 20*s**2. Determine f so that z(f) = 0.
-4, 1
Let d = -19313 - -57943/3. Suppose d*t - 2*t**2 - 2/9 = 0. What is t?
1/3
Let w(v) be the second derivative of 14*v**4 - 2*v + 117/20*v**5 + 0*v**2 + 49/4*v**3 + 0 + 1/28*v**7 + 4/5*v**6. Factor w(j).
3*j*(j + 1)**2*(j + 7)**2/2
Let m(l) = -12*l**4 - 76*l**3 + 32*l - 32. Let y = -12 + 15. Let v(b) = -b**4 - 7*b**3 + 3*b - 3. Let f(g) = y*m(g) - 32*v(g). Factor f(t).
-4*t**3*(t + 1)
Suppose 21 = 4*o - 19. Suppose 2*q - o = 2. Let n(r) = -9*r**2 - 3*r - 1. Let l(f) = -4*f**2 - 2*f. Let x(h) = q*n(h) - 13*l(h). Suppose x(b) = 0. Calculate b.
1, 3
Let 4/5*m**4 + 0*m**3 - 36/5*m**2 + 0*m + 0 = 0. Calculate m.
-3, 0, 3
Let n = 545/22 - 2169/88. Suppose n*c**3 - 1/8 - 3/8*c**2 + 3/8*c = 0. What is c?
1
Let l be 6342/84*(-1)/(-18)*-1. Let t = 40/9 + l. Factor 0*n - 1/4*n**2 + t.
-(n - 1)*(n + 1)/4
Let p(c) = c**3 + c**2 - c. Let l(k) = -105*k**5 + 145*k**4 + 229*k**3 - 121*k**2 - 124*k - 20. Let z(v) = l(v) - 4*p(v). Suppose z(o) = 0. Calculate o.
-1, -1/3, -2/7, 1, 2
Let m be 6255/556 + (-9)/1. What is i in 1/4*i**4 + 1/2 + m*i**2 + 5/4*i**3 + 7/4*i = 0?
-2, -1
Let t(a) = a - 16. Let b be t(18). Factor -2*h + 3*h**3 + 11*h**b - 3*h**3 + 7*h**4 - 10*h**3 - 6*h**3.
h*(h - 1)**2*(7*h - 2)
Let u(k) = 5*k**3 - 3*k**2 - k - 3. Let g(r) = 11*r**3 - 6*r**2 - 3*r - 6. Let o(q) = -4*g(q) + 9*u(q). Let s(c) be the first derivative of o(c). Factor s(j).
3*(j - 1)**2
Let -m**2 - 20 + 16*m - 19 + 5 - 5 = 0. Calculate m.
3, 13
Let y(u) = -u - 8. Let o be 0*(-3)/9 + -10. Let b be y(o). Find f, given that 8*f - 3*f + 3*f**2 + b*f - 4*f = 0.
-1, 0
Let x(h) = -h**3 + 2*h**2 + h + 2. Suppose -5*o + 3 = -2*y - 101, 0 = -5*y - 10. Let l(s) = 1. Let m(p) = o*l(p) - 5*x(p). What is n in m(n) = 0?
-1, 1, 2
Let k be 9 + 2*(6 + -8). Suppose 5*q + 5*o - 5 = -15, -k*q + 40 = -5*o. Factor 0 + 2/17*s**4 + 0*s**q - 6/17*s**2 - 4/17*s.
2*s*(s - 2)*(s + 1)**2/17
Determine b, given that 1/9*b**4 + 0 + 5/9*b**2 + 0*b - 2/3*b**3 = 0.
0, 1, 5
Let z(v) be the first derivative of -9*v**4/26 + 8*v**3/13 - 4*v**2/13 + 54. Determine g, given that z(g) = 0.
0, 2/3
Let t(v) be the third derivative of 2*v**2 + 0*v + 1/1008*v**8 + 1/315*v**7 + 1/9*v**3 + 1/72*v**4 + 0 - 1/180*v**6 - 1/45*v**5. What is s in t(s) = 0?
-2, -1, 1
Let s(m) = m + 4. Let f be s(11). Solve 7*l + 3 - 10*l**3 + 5*l**4 - f*l**2 + 10*l + 17 + 3*l = 0 for l.
-1, 2
Let d(v) be the first derivative of -2*v**3/21 - 4*v**2 - 56*v - 512. Solve d(s) = 0 for s.
-14
Determine q, given that 25*q**2 - 26*q**2 - 5*q + 8*q = 0.
0, 3
Solve 1/3*d**3 + 32*d - 128/3 - 6*d**2 = 0.
2, 8
Find j such that -4/9*j**3 + 2/9*j - 8/9*j**2 + 4/9*j**4 + 2/9*j**5 + 4/9 = 0.
-2, -1, 1
Suppose 0 = 2*p + 8, 0*h + 4*h = p - 12. Let f = 2 - h. Factor -7*g + 3*g - f + 4*g**2 + 6*g.
2*(g - 1)*(2*g + 3)
Let c(r) be the first derivative of r**4/2 + 43*r**3/3 + 61*r**2/2 + 20*r - 361. Factor c(l).
(l + 1)*(l + 20)*(2*l + 1)
Let r = -25283 - -25285. Factor 9*d + 28*d**r + 2/3 - 49/3*d**3.
-(d - 2)*(7*d + 1)**2/3
Let w(o) be the third derivative of 0*o**4 + 41*o**2 + 0 + 0*o + 1/60*o**5 - 1/6*o**3. Solve w(s) = 0.
-1, 1
Factor -18/5*r + r**2 - 8/5.
(r - 4)*(5*r + 2)/5
Let t be (0 - (-4)/6) + 1392/90. Let f = -74/5 + t. Determine l, given that -f*l**2 + 2/9 + 2/3*l**5 + 10/9*l**4 - 2/9*l - 4/9*l**3 = 0.
-1, 1/3, 1
Let r = 78 - 73. Suppose -4*s - 3*i + 23 = 0, -2*i + 0*i = -r*s. Find v, given that 1/2 + 2*v**4 - 1/4*v + 5/4*v**5 - v**3 - 5/2*v**s = 0.
-1, 2/5, 1
Let s(q) be the first derivative of 0*q**5 + 0*q**2 + 14 - 1/42*q**6 + 3/28*q**4 + 0*q + 2/21*q**3. Factor s(v).
-v**2*(v - 2)*(v + 1)**2/7
Suppose -20*l = -10*l - 40. Let r(d) be the second derivative of 0 - 1/6*d**l + 2*d**2 - 5*d - 1/3*d**3. Factor r(a).
-2*(a - 1)*(a + 2)
Let x = -53 - -47. Let l be (x/1)/((-30)/15). Find y, given that 0 + 4/3*y**2 + 1/3*y + 1/3*y**5 + 2*y**l + 4/3*y**4 = 0.
-1, 0
Let p(d) be the second derivative of d**5/5 - 2*d**4/3 - 16*d**3/3 + 3*d + 11. Factor p(r).
4*r*(r - 4)*(r + 2)
Let y(u) be the second derivative of -u**5/80 + u**4/48 + u**3/24 - u**2/8 + 48*u. Solve y(q) = 0.
-1, 1
Let l(h) be the third derivative of h**8/8960 - h**6/960 - h**4/4 + 40*h**2. Let j(z) be the second derivative of l(z). Factor j(g).
3*g*(g - 1)*(g + 1)/4
Let q(j) be the second derivative of -5*j**7/84 + 2*j**6/15 + j**5/10 - 5*j**4/12 + j**3/12 + j**2/2 + 15*j. Let q(b) = 0. What is b?
-1, -2/5, 1
Let y(n) be the third derivative of n**5/100 - 31*n**4/20 + 961*n**3/10 - 16*n**2. Determine d, given that y(d) = 0.
31
Let v be ((-22)/99 - (-13)/18)/(7/4). Suppose -2/7*i**2 + 2/7*i - 2/7*i**3 + v = 0. What is i?
-1, 1
Factor -12/7 - 26/7*n + 16/7*n**2.
2*(n - 2)*(8*n + 3)/7
Let m(v) be the second derivative of v**5/20 - v**4/12 - 5*v**3/3 - 4*v**2 + 5*v + 12. Factor m(l).
(l - 4)*(l + 1)*(l + 2)
Let z(w) be the third derivative of -w**6/90 + 4*w**5/15 - 8*w**4/3 + 5*w**3/2 - 40*w**2. Let f(y) be the first derivative of z(y). Factor f(u).
-4*(u - 4)**2
Let a be 8/24 + (-118)/(-6). Factor 14*k**3 - 8*k**2 - 213*k**4 + 97*k**4 + a*k**3 + 108*k**4.
-2*k**2*(k - 4)*(4*k - 1)
Factor 86/3 + 30*l**2 + 2/3*l**3 + 58*l.
2*(l + 1)**2*(l + 43)/3
Let s(i) = -6*i**4 + 23*i**3 - 6*i**2 - 3*i + 7. Let t(z) = -5*z**4 + 19*z**3 - 5*z**2 - 3*z + 6. Let l(o) = -4*s(o) + 5*t(o). Find j, given that l(j) = 0.
-1, 1, 2
Let z = 99 + -96. Let -4*l**z - l**3 - 33 - 30*l**2 - 45*l + 13 = 0. What is l?
-4, -1
Let i(z) be the third derivative of 0*z**3 + 0 - 21*z**2 + 0*z + 0*z**4 - 1/315*z**7 - 1/90*z**6 - 1/90*z**5. Solve i(b) = 0 for b.
-1, 0
Let 2/3*i**5 + 32*i**4 + 0*i - 5408/3*i**2 + 312*i**3 + 0 = 0. Calculate i.
-26, 0, 4
Suppose 0 + 3 = n. Let t be (6/(-4))/(n/(-6)). Find u, given that 0 + 0 + 8*u**2 - 8*u**4 + 16*u**3 - 4*u - 12*u**t = 0.
-1, 0, 1/2, 1
Determine k so that 0 - 18/11*