 second derivative of u(y). Factor q(o).
o*(o - 1)*(o + 1)**2/3
Let l be (5/2 - 1)*2. Let p(z) = 3*z**4 - 8*z**3 - 3*z**2 + 3*z. Let o(k) = -k**4 + 4*k**3 + k**2 - k. Let y(h) = l*p(h) + 5*o(h). Factor y(b).
4*b*(b - 1)**2*(b + 1)
Let o(i) be the second derivative of 0 + 0*i**2 - 1/3*i**4 - 4*i - 1/10*i**5 + 0*i**3. Suppose o(x) = 0. What is x?
-2, 0
Suppose l + 7 = 3*k, 0 = 2*k + 2*l - 12 - 6. Factor 0*h**k - 6*h**4 + 8*h**2 + 3*h**4 - 12*h**3 - 17*h**2.
-3*h**2*(h + 1)*(h + 3)
Let t(h) be the first derivative of h**4/54 + h**3/27 - 2*h**2/9 + 11*h + 10. Let q(k) be the first derivative of t(k). Find z such that q(z) = 0.
-2, 1
Let d be (-95)/(-60) - (-1 + (-10)/(-8)). Let 2/3 + d*k + 2/3*k**2 = 0. Calculate k.
-1
Let k(y) = 2*y**2 - 14*y - 10. Let l(m) = -m**2 + 13*m + 9. Suppose -4*n + 4*i + 40 = 0, i + i = -2*n + 4. Let s(v) = n*l(v) + 5*k(v). Factor s(q).
4*(q + 1)**2
Let z be (4/(-4) + 2)/1. Suppose 3*a = 4*h - 2*h - z, 0 = 5*h - 5*a - 5. Find d such that 4/3*d + 0*d**3 + 2/3*d**4 + 0 - h*d**2 = 0.
-2, 0, 1
Let f be -4*(-5 + -5)/(-5). Let t be (f/(-10))/((-6)/(-15)). Factor 2/3*q**3 + 2*q + 2/3 + t*q**2.
2*(q + 1)**3/3
Suppose 34*l**4 - 3817*l - 6*l**2 - 4*l**3 - 24*l**5 + 3817*l = 0. What is l?
-1/3, 0, 3/4, 1
Let x(n) be the third derivative of -n**8/560 + n**7/50 - 11*n**6/200 + n**5/20 - 65*n**2. Let x(f) = 0. Calculate f.
0, 1, 5
Let j be ((-2)/(-1) - -3) + -2. Factor 4 - 3*v + 11 - v**2 - 14 + j.
-(v - 1)*(v + 4)
Suppose v = 2*d - 10, -18 = 4*d - 6*d - 3*v. Factor -135 + q**2 + 135 + d*q.
q*(q + 6)
Factor 0 + 134/3*u - 2/3*u**2.
-2*u*(u - 67)/3
Solve 1/2*o**2 + 0*o + 17/4*o**3 + 0 + 7*o**4 + 13/4*o**5 = 0.
-1, -2/13, 0
Suppose 0 = 3*j + 2*z - 2, 0 = 5*j + 3*z - 7*z - 18. Find s, given that -1/5*s**j + 2/5*s + 0 = 0.
0, 2
Let d(w) = 45*w**2 - 10*w - 11. Let s be d(-1). Let i be s/330 + 22/60. Solve 0*t**2 + 0 + 1/2*t**5 + 0*t + 0*t**3 - i*t**4 = 0 for t.
0, 1
Suppose 5*n + 0*y - 6 = -y + 4, -3*y = 0. Find h such that 0 + 2*h - 1/2*h**n = 0.
0, 4
Let x(i) be the first derivative of -i**6/180 + i**5/180 + i**4/18 + i**3/3 + 2. Let y(o) be the third derivative of x(o). Solve y(t) = 0.
-2/3, 1
Suppose -5*u - 3*g + 0*g = -67, -6 = -2*u + 4*g. Suppose -3*b = 3*k + 6, 2*b - 2*k - u = -7. Find a such that 3/4*a**2 + b - 3/2*a = 0.
0, 2
Let h be -1 + (-1)/(-3) + (-5918)/(-807). Let z(x) be the second derivative of 8*x - 17/3*x**3 + 0 - 2*x**2 - 8/5*x**5 - h*x**4. Suppose z(f) = 0. What is f?
-2, -1/4
Let r(b) be the third derivative of b**5/330 - b**4/66 - 3*b**2 + 11. Factor r(w).
2*w*(w - 2)/11
Let i = -432/5 - -433/5. Find v such that -i + 3/5*v**2 + 2/5*v**3 + 0*v = 0.
-1, 1/2
Suppose -7/2*y**2 + 0 - 3*y - 1/2*y**3 = 0. Calculate y.
-6, -1, 0
Let w(p) be the first derivative of -20*p**3/3 + 264*p**2 - 208*p + 113. Factor w(a).
-4*(a - 26)*(5*a - 2)
Let j = 29993/6 - 4998. Solve 0 + 1/2*o**2 + 1/3*o - j*o**3 = 0.
-2/5, 0, 1
Let q(z) be the first derivative of -z**3/2 - 171*z**2/4 + 87*z - 65. Factor q(b).
-3*(b - 1)*(b + 58)/2
Let o(d) be the second derivative of 1/42*d**7 + 1/10*d**6 - 9*d + 0*d**3 + 0 - 1/20*d**5 - 7/12*d**4 + 2*d**2. Factor o(a).
(a - 1)**2*(a + 1)*(a + 2)**2
Let p = 60087 + -901654/15. Let h = p - -71/3. Suppose 2/5*z**2 + h*z**3 - 4/5*z + 0 = 0. Calculate z.
-2, 0, 1
Let p(o) be the first derivative of -480*o**2 - 384*o**3 - 256*o - 104*o**4 - 14 + 48/5*o**5 + 6*o**6. Find b, given that p(b) = 0.
-2, -2/3, 4
Let y = -67 - -1515. Determine p, given that 50*p**3 - 12 + p**3 - 1385*p**2 + y*p**2 + 9*p**4 + 9*p = 0.
-4, -1, 1/3
Let z(n) = -9*n + 29. Let p(h) = -h. Let a(u) = -6*p(u) + z(u). Let c be a(9). Let 18/5*q**3 + 36/5*q**c + 3/5*q**4 + 0 + 24/5*q = 0. What is q?
-2, 0
Let z(i) = 1. Let p(l) = -l**3 + l + 2. Let c(b) = -p(b) + 2*z(b). Suppose c(y) = 0. Calculate y.
-1, 0, 1
Suppose 3*m - 3*v - 108 = 0, 5*m - 82 - 92 = 2*v. Suppose 0 = 11*p - m - 21. Find l such that 7/3*l**2 + 3 - 1/3*l**3 - p*l = 0.
1, 3
Factor 62*j - 13*j**2 - 19*j + 17*j**2 - 3*j**2 + 1024 + 21*j.
(j + 32)**2
Find q, given that 719 + 303*q**2 + 8*q - 207*q**4 + 46*q + 357*q**3 - 719 - 27*q**5 = 0.
-9, -1/3, 0, 2
Factor 384*m**4 - 196*m**4 - 193*m**4 + 20*m - 20*m**3 + 15 - 10*m**2.
-5*(m - 1)*(m + 1)**2*(m + 3)
Let s(o) = -o**2 - 8*o - 12. Let x be s(-3). Find p such that p**x - 5*p + p**3 + 3*p**3 + 0*p**3 = 0.
-1, 0, 1
Let a be ((-187)/33 + -1)/(-2*3). Factor -2/3*g**2 - 4/9 - a*g.
-2*(g + 1)*(3*g + 2)/9
Factor -58/7*q - 8/7*q**2 + 2/7*q**3 - 48/7.
2*(q - 8)*(q + 1)*(q + 3)/7
Find c, given that 0*c - 4/5*c**2 + 1/5*c**3 + 1/10*c**4 + 0 = 0.
-4, 0, 2
What is s in -4*s**4 - 4/3*s**3 + 44/3*s**2 - 16*s + 16/3 + 4/3*s**5 = 0?
-2, 1, 2
Let i = -18 + 56. Factor i*r - 4 - 8*r**3 - 9*r + 4*r**4 - 21*r.
4*(r - 1)**3*(r + 1)
Let k(i) = -i - 1. Let f(d) = 5*d + 5. Let p(a) = f(a) + 6*k(a). Let y be p(-5). Factor -r**2 + 2*r**4 + 3*r**2 - 4*r**3 - 6*r**4 - 2*r**y.
-2*r**2*(r + 1)*(3*r - 1)
Let z = -51 - -45. Let d be -6 + 6 + z + 9. Factor 1/4*o**2 - 1/2*o**d + 0 + 1/4*o.
-o*(o - 1)*(2*o + 1)/4
Determine z, given that -20*z - 56*z**3 + 15*z**5 + z**3 - 68*z**2 - 12*z**2 + 20*z**4 = 0.
-2, -1, -1/3, 0, 2
Let w(d) be the third derivative of d**5/12 - 11*d**3/3 - 7*d**2. Let c(q) = 1. Let k(o) = -2*c(o) - w(o). Solve k(s) = 0 for s.
-2, 2
Let t = 30 + -28. Let 3*u - 2*u**3 - u**3 - t*u**2 + 12 + 9*u - u**2 = 0. Calculate u.
-2, -1, 2
Let z be 3/(-2) + 1 + 791/14. Find f, given that -56 + z - 10*f + 4*f - f**2 = 0.
-6, 0
Suppose 5*p - 19 + 47 = 4*s, -5*s - 6 = 4*p. Factor 4*m**3 - 4/3*m**4 + 0*m - 8/3*m**s + 0.
-4*m**2*(m - 2)*(m - 1)/3
Factor 111*l**4 + 24 + 285*l**2 - 6*l + 136*l + 267*l**3 + 15*l**5 + 8*l.
3*(l + 1)**3*(l + 4)*(5*l + 2)
Let d(f) be the third derivative of -f**7/70 - f**6/40 + f**5/20 + f**4/8 + 260*f**2. Solve d(m) = 0.
-1, 0, 1
Suppose 0 = -a - 4*d - 32, 82 = -4*a + a - 5*d. Let t be (-1)/2*a/(-4 + 7). What is c in 4/3*c**3 + 16/9*c + 0 + 2/9*c**t + 8/3*c**2 = 0?
-2, 0
Let x(v) = -23*v**2 - 246*v - 2886. Let u(o) = 95*o**2 + 985*o + 11545. Let h(n) = -6*u(n) - 25*x(n). Factor h(k).
5*(k + 24)**2
Let t(b) = -22*b**3 + 2*b**2 + 2 - 4*b**2 - 2*b + 26*b**3. Let n(m) = 19*m**3 - 10*m**2 - 11*m + 11. Let q(g) = -4*n(g) + 22*t(g). Determine l so that q(l) = 0.
0, 1/3
Let u(v) = v**3 - 3*v**2 + 10*v - 12. Let l be u(2). Let k(n) be the second derivative of 0 - 1/15*n**5 - 1/9*n**l + 0*n**3 + 0*n**2 - 7*n. Factor k(i).
-4*i**2*(i + 1)/3
Let f(w) = 3*w**2 - 6*w + 9. Let p(i) = 7*i**2 - 10*i + 18. Let z(n) = 5*f(n) - 2*p(n). Factor z(r).
(r - 9)*(r - 1)
Factor 2/3*a**3 + 34/9*a - 32/9*a**2 - 8/9.
2*(a - 4)*(a - 1)*(3*a - 1)/9
Let t be (-1 + 0)*14/(-9422). Let u = t - -4031/4711. Factor 6/7 + u*n**2 + 3/7*n**5 - 12/7*n**4 - 15/7*n + 12/7*n**3.
3*(n - 2)*(n - 1)**3*(n + 1)/7
Let j(f) = 7*f - 86. Let b be j(9). Let l = b + 47. Suppose -3/2*c + 17/2*c**2 - 44*c**4 + l*c**5 + 27/2*c**3 - 1/2 = 0. What is c?
-1/4, 1/3, 1
Let q = -1190 - -1198. Let r(b) be the first derivative of 6*b**2 - 3 + q*b + 4/3*b**3. Find c such that r(c) = 0.
-2, -1
Let w(k) be the second derivative of k**7/147 + 29*k**6/21 + 841*k**5/7 + 121945*k**4/21 + 3536405*k**3/21 + 20511149*k**2/7 - 480*k. Factor w(x).
2*(x + 29)**5/7
Let s(r) = -27 - 6*r**3 + 7*r**2 - 12*r + 2*r**2 + 3*r**2. Let n(x) = x**3 + x**2 + x. Let g = -466 + 469. Let z(j) = g*n(j) + s(j). Factor z(d).
-3*(d - 3)**2*(d + 1)
Let v(o) be the second derivative of o**6/10 + 3*o**5/10 - 3*o**4/4 - 4*o**3 - 6*o**2 - 8*o - 10. Factor v(b).
3*(b - 2)*(b + 1)**2*(b + 2)
Let k(j) be the first derivative of -2*j**6 + 17*j**5/5 + j**4/4 - 5*j**3/3 - j**2/2 - 133. Determine n, given that k(n) = 0.
-1/3, -1/4, 0, 1
Let y(n) be the third derivative of n**5/360 + 47*n**4/144 + 186*n**2. Suppose y(w) = 0. What is w?
-47, 0
Let a = 319/12510 + -2/139. Let w(v) be the second derivative of 0 - a*v**6 + 5*v + 1/9*v**3 + 0*v**4 - 1/30*v**5 + 1/6*v**2. Let w(h) = 0. Calculate h.
-1, 1
Let y = 14 - 14. Suppose y = 2*n - 6 - 0. Factor -16*d**n - d - 4*d - 5*d**4 - 14*d**2 + d - d**4.
-2*d*(d + 1)**2*(3*d + 2)
Let y(a) = -20*a**3 - 352*a**2 - 2700*a. Let n(t) = 7*t**3 + 117*t**2 + 900*t. Let x(w) = 8*n(w) + 3*y(w). Suppose x(z) = 0. Calculate z.
-15, 0
Let i(p) = 4*p**3 - 17*p**2 + 38*p - 28. Let u(z) = -z**3 + 2*z. Let v(k) = 5*i(k)