*o + 1/21*o**6 - 1/7*o**4 + 1/7*o**2 + 0*o**j + 0*o**3 + 5. Solve k(x) = 0.
-1, 0, 1
Let d(l) be the second derivative of -l**4/60 - 2*l**3/15 - 2*l**2/5 - 12*l - 4. Find r such that d(r) = 0.
-2
Suppose 18*a - 26 = 10. Let t(v) be the third derivative of 0 + 0*v + 4/3*v**3 - 7/120*v**6 + 1/210*v**7 + 3/10*v**5 - 5/6*v**4 + 7*v**a. Solve t(w) = 0.
1, 2
Let g = -22211/3 - -7404. Suppose -x - 2/3*x**2 + 0 + 2/3*x**4 - g*x**5 + 4/3*x**3 = 0. What is x?
-1, 0, 1, 3
Let -3*o**4 + o**5 - 2*o**5 - 6*o**2 + 9*o**2 + 8*o**2 - 6*o + 7*o**3 - 8 = 0. What is o?
-4, -1, 1, 2
Let g be (-1 + (-46)/(-4))/((-81)/(-108)). Let n(r) be the first derivative of -g*r**2 - 9/4*r**4 + 3 - 8*r - 10*r**3. Determine o, given that n(o) = 0.
-2, -2/3
Let u be 4/(-22) + (-168)/(-77). Suppose 5*s = 8 + 7. Determine x, given that -3/2*x - 3/4*x**s - 9/4*x**u + 0 = 0.
-2, -1, 0
Let g(x) be the second derivative of -x**4/4 - 27*x**3 - 159*x**2/2 - x - 19. Find k, given that g(k) = 0.
-53, -1
Let c(b) be the first derivative of -b**6/6 + b**5/15 + b**4/4 - b**3/9 + 2. Let c(k) = 0. What is k?
-1, 0, 1/3, 1
Let g be -9 - -9*49/42. Solve n - 1/2*n**4 + 0*n**3 + g*n**2 + 0 = 0 for n.
-1, 0, 2
Let f(r) be the third derivative of -49*r**5/20 - 51*r**4/8 - r**3 + 5*r**2 + 3. Let f(v) = 0. What is v?
-1, -2/49
Let x be -4 - (-8 - (-1 - 0)). Determine y, given that 6*y**x - 22*y**3 + 73*y**4 - 75*y**4 - 18 - 44*y**2 - 48*y = 0.
-3, -1
Let c(o) be the first derivative of -o**6/21 - 2*o**5/35 + 3*o**4/7 + 8*o**3/21 - 8*o**2/7 - 66. Suppose c(h) = 0. Calculate h.
-2, 0, 1, 2
Suppose -3/2 + 2*v - 1/2*v**2 = 0. What is v?
1, 3
Let z be (-10 - (3 + -5 + -9)) + (-2)/6. Factor 0 - z*y**2 - 10/3*y.
-2*y*(y + 5)/3
Let y(j) = j**2 - j. Let w(r) = -r**2 - 14*r + 20. Let s be (-12)/10 - (-1)/5. Let k(t) = s*w(t) - 6*y(t). Let k(m) = 0. What is m?
2
Let i(p) = 2*p**2 - 45*p - 84. Let n(u) = -u. Let f(m) = i(m) - 7*n(m). Determine h, given that f(h) = 0.
-2, 21
Let p(t) be the second derivative of t**6/165 + 3*t**5/55 - 4*t**4/33 - 2*t**3/11 + 7*t**2/11 + 598*t. Let p(m) = 0. What is m?
-7, -1, 1
Let h(w) be the third derivative of 1/483*w**7 + 2/345*w**5 - 2/345*w**6 - 8*w**2 + 0 + 0*w + 0*w**4 - 1/3864*w**8 + 0*w**3. Factor h(l).
-2*l**2*(l - 2)**2*(l - 1)/23
Determine l, given that 0 + 9/2*l**3 - 3*l - 3*l**4 + 9/2*l**2 = 0.
-1, 0, 1/2, 2
Let u(c) = -c. Let p(k) = -4*k - 5. Let l(q) = -p(q) + 5*u(q). Let n be l(3). Factor -n*j**3 + j + 2*j**2 + j - 6 + 4.
-2*(j - 1)**2*(j + 1)
Find x such that -9/7 + 6/7*x + 2/7*x**5 - 8/7*x**3 + 2*x**2 - 5/7*x**4 = 0.
-3/2, -1, 1, 3
Let z(q) = 4*q**2 + 3*q + 40. Let h(i) = i**2 - 4*i - 2. Let r(x) = -15*h(x) + 3*z(x). Factor r(s).
-3*(s - 25)*(s + 2)
Let v be 24/11 + (-4)/(-132)*-6. Let g(p) be the second derivative of 1/60*p**5 + 0 + 1/12*p**4 + 1/6*p**v - 3*p + 1/6*p**3. Factor g(s).
(s + 1)**3/3
Let m(q) = -11665*q**2 + 436*q - 2. Let z(k) = -k**2 + 4*k + 2. Let f(w) = m(w) - z(w). Factor f(c).
-4*(54*c - 1)**2
Let d(q) be the first derivative of q**6/105 - 2*q**5/35 + 2*q**4/21 + 5*q + 4. Let r(p) be the first derivative of d(p). Factor r(t).
2*t**2*(t - 2)**2/7
Let b(y) = -y**4 + y**3 + y**2 + y - 1. Let v(h) = -260*h**4 + 196*h**3 + 64*h**2 + 8*h - 4. Let p(m) = 4*b(m) - v(m). Factor p(d).
4*d*(d - 1)*(8*d + 1)**2
Let d(t) be the first derivative of -t**4/36 + 11*t**3/27 - 4*t**2/3 + 142. Find z such that d(z) = 0.
0, 3, 8
Let q be ((-12)/(-64)*-2)/(8/(-32)). Find v such that -81/2*v**3 - 27/2*v + q + 81/2*v**2 = 0.
1/3
Suppose 92*d - 94 - 81 - 9 = 0. Solve -3/4*u - 1/2 - 25/4*u**3 + 21/4*u**d + 9/4*u**4 = 0 for u.
-2/9, 1
What is f in 2*f**2 - 2*f**3 - 8 + 0 + 2*f + 4*f + 2*f = 0?
-2, 1, 2
Suppose -392*y + 12 = -388*y. Let f(m) be the third derivative of 0*m + 8*m**2 + 0*m**y + 0 + 0*m**4 - 1/105*m**5 - 1/210*m**6. Factor f(h).
-4*h**2*(h + 1)/7
Let c be 4/(-33)*-117 + -14. Factor -c*b**2 + 2/11*b**3 + 2/11*b**4 + 0 - 2/11*b.
2*b*(b - 1)*(b + 1)**2/11
Let n(u) be the first derivative of 3*u**4/4 - 181*u**3/3 - 154*u**2 - 124*u + 412. Let n(g) = 0. What is g?
-1, -2/3, 62
Suppose 0 = 23*v - 18*v. Factor 1/5*g**3 + 2/5*g**2 + v + 1/5*g.
g*(g + 1)**2/5
Let f(q) be the third derivative of 1/12*q**5 + 16*q**2 + 0 - 1/42*q**7 + 0*q**3 - 1/24*q**6 + 5/24*q**4 + 0*q. Factor f(m).
-5*m*(m - 1)*(m + 1)**2
Factor 140*k**2 + 83*k**2 + 56*k**2 - 660*k - 15*k**3 - 89*k**2 + 360.
-5*(k - 6)**2*(3*k - 2)
Let b(g) be the third derivative of -g**6/180 + g**5/90 + 5*g**4/18 + 8*g**3/9 + 5*g**2. Suppose b(c) = 0. What is c?
-2, -1, 4
Let z(m) be the second derivative of -4*m + 0 + 0*m**2 + 0*m**4 + 0*m**3 + 1/25*m**5 + 2/75*m**6. Find d, given that z(d) = 0.
-1, 0
Find z, given that 23/4*z**2 + 4*z + 5/4*z**5 - 13/4*z**3 - 1 - 11/4*z**4 = 0.
-1, 1/5, 2
Let a(k) be the first derivative of -k**6/1620 + k**4/108 - 10*k**3/3 + 9. Let h(z) be the third derivative of a(z). Factor h(m).
-2*(m - 1)*(m + 1)/9
Let u(n) be the first derivative of 0*n**3 - 3/2*n**2 + 1/225*n**5 + 2 - 1/900*n**6 - 1/180*n**4 + 0*n. Let v(g) be the second derivative of u(g). Factor v(b).
-2*b*(b - 1)**2/15
Let i(w) = w + 4. Let p be i(-2). Let x be 16/5 + p/(-10). Factor 4*q - 2*q**x + q - 3*q.
-2*q*(q - 1)*(q + 1)
Let t be 2/(17/5 - 3). Let k(w) = w**3 - w**2 - 5*w - 2. Let p be k(t). Let -73 + 2*b + p - 9*b**2 - 4*b**5 + 11*b**3 = 0. What is b?
-2, 0, 1/2, 1
Let k(y) be the first derivative of 2*y**3/15 - 9*y**2/5 + 28*y/5 - 274. Factor k(u).
2*(u - 7)*(u - 2)/5
Let w(f) be the second derivative of 1/21*f**7 + 10*f - f**3 + f**2 + 0 + 1/3*f**4 + 1/5*f**5 - 1/5*f**6. Factor w(n).
2*(n - 1)**4*(n + 1)
Let u(x) be the second derivative of -1/30*x**6 + 0*x**5 + 0 + 0*x**3 + 1/3*x**4 - 13*x + 0*x**2. Suppose u(q) = 0. Calculate q.
-2, 0, 2
Let u = 10 - 7. Factor -107*b**3 + 49*b**u + 49*b**3 - 6*b**2.
-3*b**2*(3*b + 2)
Let c(n) = -n**2 - 2*n + 4. Let x be c(-3). Suppose -x = -4*y + 7. Let 4*z**y + 2*z**4 - z**3 - 6*z**2 - z**4 = 0. What is z?
-1, 0, 2
Determine o so that -1/4*o**5 + 1/2*o**4 + 1/4*o - 1/2*o**2 + 0 + 0*o**3 = 0.
-1, 0, 1
Factor 52*m**2 + m**3 - 200 - 4*m**3 + 71*m**2 - 181*m - 151 - 44*m.
-3*(m - 39)*(m - 3)*(m + 1)
Suppose -s = x, -1 = -x - 4*s + 8. Let p = x - -5. Factor p*r**3 + 2*r**3 + 3*r**4 - 7*r**3.
3*r**3*(r - 1)
Factor 1/2*y**4 - 1/2*y**2 + 3/2*y + 0 - 3/2*y**3.
y*(y - 3)*(y - 1)*(y + 1)/2
Let c(z) = -13*z**2 - 40*z - 13. Let q(p) = -2*p**2 - p - 1. Let x(d) = -c(d) + 3*q(d). Let x(u) = 0. Calculate u.
-5, -2/7
Let g(q) = 2*q**4 - q**3 - q**2 + q + 2. Let z(r) = 2*r**4 + 24*r**3 + 28*r**2 - 24*r - 24. Let b(s) = -2*g(s) + z(s). Factor b(i).
-2*(i - 14)*(i - 1)*(i + 1)**2
Let o(p) be the first derivative of -p**4/12 + 11*p**3/9 + 13*p**2/3 + 38. Factor o(a).
-a*(a - 13)*(a + 2)/3
Factor 5*w**3 - 76*w + 6*w**3 - 4*w**3 + 4*w**2 + 68*w - 3*w**3.
4*w*(w - 1)*(w + 2)
Let f be ((-9)/20)/(32 + 8240/(-256)). Solve 4/5*u**4 + 8/5*u + 0*u**3 - f*u**2 + 0 = 0 for u.
-2, 0, 1
Let 34*j**4 - 35*j**5 + 23*j**3 - 2*j**3 - 49*j**4 + 14*j**5 + 15*j**2 = 0. Calculate j.
-1, -5/7, 0, 1
Let c(j) be the first derivative of -j**5/180 + j**4/36 - j**3/18 - 5*j**2/2 - 10. Let s(y) be the second derivative of c(y). Factor s(q).
-(q - 1)**2/3
Let o(g) be the third derivative of g**6/360 - g**5/180 - 5*g**4/72 - g**3/6 - 488*g**2 - g. Solve o(s) = 0 for s.
-1, 3
Factor 1/4*a**2 - 3/2 + 5/4*a.
(a - 1)*(a + 6)/4
Let s be -4 + 6 - (-5 + 3). Let v(j) be the second derivative of -7/3*j**3 + 7/6*j**s - j - 2*j**2 + 0 + 6/5*j**5. Factor v(f).
2*(f + 1)*(3*f - 2)*(4*f + 1)
Let -3/2*k**4 + 3*k**2 - 3/2*k**3 + 0 + 0*k = 0. What is k?
-2, 0, 1
Let a(z) be the third derivative of 3/14*z**3 + 0 + 1/28*z**4 + 0*z + 1/420*z**5 - 7*z**2. Factor a(n).
(n + 3)**2/7
Let b(w) = 9*w**2 - 15*w - 16. Let n(p) be the first derivative of 10*p**3/3 - 15*p**2/2 - 15*p + 3. Let m(v) = -5*b(v) + 4*n(v). Factor m(r).
-5*(r - 4)*(r + 1)
Let b(w) = -3*w**3 + 20*w**2 - 11*w + 10. Let z(n) = -3*n**3 + 18*n**2 - 12*n + 9. Let j(k) = -3*b(k) + 4*z(k). Let j(s) = 0. Calculate s.
1, 2
Let k = -22 - -28. Let t(p) = 4*p**3 + 10*p**2 + 18*p + 22. Let m(b) = -b**3 - 3*b**2 - 6*b - 7. Let s(u) = k*t(u) + 20*m(u). Factor s(j).
4*(j - 2)*(j + 1)**2
Let n = -13229/8 + 1654. Factor 0*p**2 - 3/8*p**5 + 0 - n*p + 0*p**4 + 3/4*p**3.
-3*p*(p - 1)**2*(p + 1)