econd derivative of 0*d**u + 1/12*d**4 + 0*d**2 + 1/5*d**5 + 1/10*d**6 + 0 - d. Solve q(o) = 0 for o.
-1, -1/3, 0
Solve -6/5*r + 2/5*r**4 - 4/5 + 6/5*r**3 + 2/5*r**2 = 0.
-2, -1, 1
Let r(b) be the third derivative of b**6/24 - b**5/12 - 25*b**4/24 - 5*b**3/2 - 27*b**2. Let r(v) = 0. Calculate v.
-1, 3
Determine j, given that 1/5*j**3 - 8/5 + 3/5*j**2 - 6/5*j = 0.
-4, -1, 2
Suppose -4*l = -l - 15. Solve -u**3 + u**4 + u**l - 5*u + 5*u - u**2 = 0 for u.
-1, 0, 1
Let u(q) be the first derivative of -19/14*q**4 - 16/7*q**2 + 50/21*q**3 - 1/21*q**6 + 1 + 8/7*q + 2/5*q**5. Find k, given that u(k) = 0.
1, 2
Determine n so that 5*n**2 + n + 10 + n + 13*n = 0.
-2, -1
Suppose 0 = -4*a + 8 + 4. Find k such that 2*k - a*k**2 + 5*k**2 + 0*k**2 = 0.
-1, 0
Let s(b) be the second derivative of b**6/36 + b**5/30 + b**3/6 + 2*b. Let r(u) be the second derivative of s(u). Factor r(w).
2*w*(5*w + 2)
Factor 42*x**3 - 38*x**3 - x**4 - x**4 - 2*x**2.
-2*x**2*(x - 1)**2
Let t(w) be the third derivative of -w**5/60 - w**4/4 - 3*w**3/2 - 6*w**2. Factor t(v).
-(v + 3)**2
Let c = -39778/3 + 13585. Let t = -321 + c. Find i such that 0 + 4/3*i + 10/3*i**3 + t*i**2 = 0.
-1, -2/5, 0
Factor -2*u + 4*u**3 + 0 + 11/3*u**2 - 5/3*u**4.
-u*(u - 3)*(u + 1)*(5*u - 2)/3
Let u(w) be the second derivative of 22/15*w**6 - 1/7*w**7 + 0 + 40/3*w**4 + 32/3*w**2 - 16*w**3 - 92/15*w**5 + w. Factor u(q).
-2*(q - 2)**3*(3*q - 2)**2/3
Let j(l) = -l**3 - 8*l**2 + 8*l - 10. Let i be j(-9). Let p(m) = 3*m**2 + 2*m + 1. Let k be p(i). Let 2 + 0*n**3 - 2*n**k - 5*n + 8*n**3 - 3*n = 0. Calculate n.
-1, 1/4, 1
Let u(q) be the third derivative of 1/6*q**3 + 1/24*q**4 - 1/60*q**5 - 7*q**2 + 0*q + 0 - 1/120*q**6. Factor u(p).
-(p - 1)*(p + 1)**2
Let k = 68 + -76. Let m(y) = -10 - 5*y**2 + 2 - 7*y**3 - 33*y - 22*y**2. Let b(n) = 10*n**3 + 40*n**2 + 50*n + 12. Let s(v) = k*m(v) - 5*b(v). Factor s(j).
2*(j + 1)**2*(3*j + 2)
Let z(r) be the first derivative of 0*r**2 - 6 + 0*r + 0*r**3 - 1/16*r**4. Factor z(l).
-l**3/4
Suppose 4*z = m - 0*z + 6, -3*z + 27 = 3*m. Suppose -m*x**2 - 3*x**4 + 3*x + 6*x**3 - 3/5 + 3/5*x**5 = 0. What is x?
1
Factor 6*i**4 - 12*i**4 - 2*i + 7*i**4 + 12*i**2 - 6*i - 6*i**3.
i*(i - 2)**3
Let b = -19/9 - -20/9. Let n(u) be the second derivative of 5/27*u**3 + b*u**5 + 1/189*u**7 - 3*u + 0 + 1/9*u**2 + 5/27*u**4 + 1/27*u**6. Factor n(d).
2*(d + 1)**5/9
Suppose -23 = -j - c - 3*c, j + c - 29 = 0. Let m = 63/2 - j. Factor 1/2*b**2 + m*b + 0.
b*(b + 1)/2
Let m(k) be the second derivative of k**5/25 + 4*k**4/15 - 2*k**3/3 + 4*k - 4. Determine n, given that m(n) = 0.
-5, 0, 1
Factor -h + 6 - 9*h**3 - 19*h + 6 + 4*h**2 + 13*h**3.
4*(h - 1)**2*(h + 3)
Let a(n) = n**4 - n**2 - n + 1. Let l(f) = 2*f**4 - 5*f**3 + 6*f - 3. Let g(i) = -3*a(i) - 3*l(i). Determine j so that g(j) = 0.
-1, 2/3, 1
Let s(u) be the first derivative of 1/3*u**3 + 0*u - 4 - 1/5*u**5 - 1/2*u**4 + u**2. Find a, given that s(a) = 0.
-2, -1, 0, 1
Factor 8*s**2 - 1/3 - 5/3*s.
(3*s - 1)*(8*s + 1)/3
Let d(j) be the first derivative of -2/15*j**3 + 1 + 0*j**2 + 2/25*j**5 + 0*j + 0*j**4. Factor d(u).
2*u**2*(u - 1)*(u + 1)/5
Let c(p) be the second derivative of -2*p + 9/8*p**5 - 5/8*p**6 + 0 - 3/2*p**3 - 3/2*p**2 + 11/16*p**4. Factor c(j).
-3*(j - 1)**2*(5*j + 2)**2/4
Let r = 2616/5 + -523. Factor 1/5*b**3 - 1/5*b + r*b**2 - 1/5*b**4 + 0.
-b*(b - 1)**2*(b + 1)/5
Let w(q) be the second derivative of q**4/42 - 2*q**3/7 + 9*q**2/7 - 7*q. Factor w(h).
2*(h - 3)**2/7
Suppose v = -4*v + 15. Factor 3*d**3 + d**4 - 2*d**5 - d**v - d**4.
-2*d**3*(d - 1)*(d + 1)
Solve 0 - 2/7*r**3 - 8/7*r**4 + 0*r**2 + 0*r - 6/7*r**5 = 0.
-1, -1/3, 0
Let d(b) be the first derivative of b**4/6 + 2*b**3/9 + 5. Factor d(g).
2*g**2*(g + 1)/3
Let k(f) be the first derivative of -f**5/10 - f**4/3 + f - 1. Let l(c) be the first derivative of k(c). Let l(r) = 0. What is r?
-2, 0
Let b(f) be the third derivative of f**5/420 + f**4/168 - 8*f**2. Suppose b(w) = 0. What is w?
-1, 0
Factor 6*y**4 + 0*y**3 + 3 - 2*y - 10*y**2 + 2*y**3 + 4 - 3.
2*(y - 1)*(y + 1)**2*(3*y - 2)
Factor -1 + 3/2*x + 5/2*x**2.
(x + 1)*(5*x - 2)/2
Let q(r) be the second derivative of -r**4/30 - r**3/15 - 3*r. Factor q(h).
-2*h*(h + 1)/5
Let w be (-18)/(2*(-6)/8). Let v = w - 2. Determine f so that -8*f**2 - v*f**2 - 19*f**3 + 5*f**3 - 4*f = 0.
-1, -2/7, 0
What is n in -89*n**2 + 90*n**2 - 2*n + 3*n = 0?
-1, 0
What is d in -4 - 3*d**2 - 20/3*d - 1/3*d**3 = 0?
-6, -2, -1
Let b = -59 + 59. Solve -2/9*m**2 - 4/9*m + b + 2/9*m**3 = 0 for m.
-1, 0, 2
Let j(c) be the second derivative of -7*c**6/720 - c**5/120 + c**3/3 - 5*c. Let u(b) be the second derivative of j(b). Suppose u(o) = 0. What is o?
-2/7, 0
Let u(g) be the third derivative of g**8/504 - 2*g**7/105 + 11*g**6/180 - g**5/45 - g**4/3 + 8*g**3/9 + 12*g**2. Suppose u(q) = 0. Calculate q.
-1, 1, 2
Let x = 70 - 8. Let j = x - 308/5. Factor -2/5*m**2 + 0 - j*m.
-2*m*(m + 1)/5
Factor 3*y - 4/3 - 2*y**2 + 1/3*y**3.
(y - 4)*(y - 1)**2/3
Suppose 5*u**3 + 3*u**3 + u**3 - 3*u**4 - 3*u**3 = 0. Calculate u.
0, 2
Let h(a) = -15*a**2 + 15*a + 15. Let x(q) = 8*q**2 - 8*q - 7. Let m(u) = 3*h(u) + 5*x(u). Factor m(o).
-5*(o - 2)*(o + 1)
Solve 10/3*m**2 + 4/3*m + 8/3*m**3 + 0 + 2/3*m**4 = 0.
-2, -1, 0
Let d = -9 - -12. Suppose 2 + 3*n**3 - 3*n**d + 2*n - 4*n**3 + 2*n**3 - 6*n**2 + 4*n**4 = 0. What is n?
-1, -1/2, 1
Let d = -40/23 + 488/69. Suppose -f**2 - 4/3 - 16/3*f + 7/3*f**4 + d*f**3 = 0. Calculate f.
-2, -1, -2/7, 1
Let p be (338/195)/((-8)/(-36)). Factor -12/5 - 3/5*f**4 - 18/5*f**3 - p*f**2 - 36/5*f.
-3*(f + 1)**2*(f + 2)**2/5
Suppose -o - 4*q = -2*q - 1, -13 = -5*o - 2*q. Factor -4 + 3*x**4 - 5*x**4 + 4 + 2*x**o.
-2*x**3*(x - 1)
Let a(t) be the second derivative of -t**4/6 - 10*t**3/3 - 25*t**2 + 8*t. Determine z, given that a(z) = 0.
-5
Let q(x) be the third derivative of -x**5/360 - x**4/24 - x**3/4 - 15*x**2. Factor q(c).
-(c + 3)**2/6
Let k(j) be the second derivative of -1/30*j**5 - 1/126*j**7 - 1/6*j**2 + 0 - 1/18*j**4 + 1/6*j**3 + 1/30*j**6 - j. Find v, given that k(v) = 0.
-1, 1
Let x(q) be the third derivative of -q**5/300 - q**4/20 + 7*q**3/30 + q**2. Determine v so that x(v) = 0.
-7, 1
Let p(z) be the third derivative of 0*z + 1/12*z**4 + 0 + 1/6*z**3 + 1/60*z**5 - 2*z**2. Find l such that p(l) = 0.
-1
Let o(q) be the second derivative of q**4/30 + 14*q**3/15 + 49*q**2/5 - 34*q. Factor o(z).
2*(z + 7)**2/5
Let z(c) be the third derivative of -c**7/210 - c**6/24 - 7*c**5/60 - c**4/8 - 20*c**2. Determine j, given that z(j) = 0.
-3, -1, 0
Let h = 0 + 3. Let n(b) be the second derivative of b**2 - 1/2*b**3 + h*b + 1/12*b**4 + 0. Factor n(j).
(j - 2)*(j - 1)
Let m(r) = 3*r**2 - 9*r. Let d(g) = 1. Let u(s) = 6*d(s) + m(s). Factor u(w).
3*(w - 2)*(w - 1)
Let y be (400/15)/5 + -5. Factor -1/3*x**3 + 2/3*x**2 + 0 - y*x.
-x*(x - 1)**2/3
Let c be (4/(-16))/((-2)/(-7)). Let j = 9/8 + c. Determine k, given that j*k + 0 - 3/4*k**2 + 3/4*k**4 - 5/4*k**3 + k**5 = 0.
-1, 0, 1/4, 1
Suppose 12*z**3 + 4*z**4 - 4*z**5 + 2338 + 8*z - 20*z**2 - 2338 = 0. Calculate z.
-2, 0, 1
Let d(u) be the third derivative of -u**6/50 - u**5/75 + u**4/10 + 2*u**3/15 + 4*u**2. Factor d(p).
-4*(p - 1)*(p + 1)*(3*p + 1)/5
Suppose -4/7*v**5 - 2/7*v + 6/7*v**3 + 10/21*v**4 + 4/21 - 2/3*v**2 = 0. What is v?
-1, -2/3, 1/2, 1
Factor -28/3*j - 15*j**2 + 49/3*j**4 + 28/3*j**3 - 4/3.
(j - 1)*(j + 1)*(7*j + 2)**2/3
Let p(r) be the third derivative of 0*r + 0*r**5 + 0 - 1/300*r**6 - 3*r**2 + 0*r**4 + 0*r**3. Factor p(u).
-2*u**3/5
Factor -32/7*r + 4/7*r**2 + 64/7.
4*(r - 4)**2/7
Let y = -7 - -5. Let j be y + 2 - 1/(-2). Factor 9/4*c**2 - 5/4*c**3 + j - 7/4*c + 1/4*c**4.
(c - 2)*(c - 1)**3/4
Let n(u) = -u**2 - 1. Let m(k) = 8*k**2 - k + 3. Let v(p) = -m(p) - 6*n(p). Factor v(g).
-(g + 1)*(2*g - 3)
Let l be 2/(-3) + 77/21. Let k be l + (50/9)/(-2). Factor k*f**2 + 0*f - 2/9.
2*(f - 1)*(f + 1)/9
Suppose 3*g + 0*g + 3*r = 24, g + 5*r = 28. Let f be (g - 0) + -1 + 2. Factor 3*i**3 - 4*i**f + 5*i**4 + i**2 - i**3.
i**2*(i + 1)**2
Let g(z) be the first derivative of -9/2*z**4 - 4/3*z**3 + 9*z**2 + 4*z + 2. Solve g(f) = 0 for f.
-1, -2/9, 1
Suppose -5*l + 4*l = 2, 4*c + 5*l = -6. Factor -c - 4 - 3 - 2*r**2 + 8*r.
-2*(r - 2)**2
Let t = -11/21 - -6/7. Let l = 115/6 + -113/6. Solve -a - l*a**3 + t 