(w) be the first derivative of -w**6/48 + 7*w**5/40 + w**4/16 - 7*w**3/12 - w**2/16 + 7*w/8 - 701. Determine o so that t(o) = 0.
-1, 1, 7
Factor 4/9 - 2/3*y + 0*y**2 + 2/9*y**3.
2*(y - 1)**2*(y + 2)/9
Let o(f) be the third derivative of 0 + 1/6*f**7 + 5/336*f**8 + 0*f + 10/3*f**4 + 10/3*f**3 + 25/12*f**5 - 13*f**2 + 19/24*f**6. Solve o(w) = 0 for w.
-2, -1
Let x(b) be the second derivative of -3*b**7/98 - 11*b**6/70 + 111*b**5/140 - 29*b**4/28 + 3*b**3/7 + 2*b + 27. Let x(z) = 0. What is z?
-6, 0, 1/3, 1
Let z(t) be the second derivative of -7*t**6/90 - 53*t**5/60 - 25*t**4/36 + 7*t**3/6 + 8*t + 2. Let z(f) = 0. What is f?
-7, -1, 0, 3/7
Let l be (-16)/4*85/(-68). Let r(s) be the second derivative of -1/4*s**4 - 3/2*s**3 - 2*s - 1/10*s**6 + 3*s**2 + 9/20*s**l + 0. Factor r(x).
-3*(x - 2)*(x - 1)**2*(x + 1)
Let i be (-4)/14*840/(-180). Factor 4/3*d + 0 + i*d**5 + 16/3*d**2 + 8*d**3 + 16/3*d**4.
4*d*(d + 1)**4/3
Let z(w) = -w**3 - 11*w**2 + 13*w + 7. Let f be z(-12). Let s be f/(-25) + (-23)/(-35). Factor s*v**3 + 6/7*v**2 - 3/7*v**5 - 3/7 - 3/7*v - 3/7*v**4.
-3*(v - 1)**2*(v + 1)**3/7
Let r be ((-6)/16)/(21 + 10005/(-464)). Suppose r*w**3 - 14/3*w**2 + 22/3*w - 10/3 = 0. Calculate w.
1, 5
Factor -2/7*m**2 - 18/7 - 20/7*m.
-2*(m + 1)*(m + 9)/7
Suppose p - 5*s = -15, -69 = 2*p - 16*s - 7*s. Factor p + 0*i - 8/5*i**3 - 2/5*i**2.
-2*i**2*(4*i + 1)/5
Factor 3/4*y**2 + 57/2*y + 111/4.
3*(y + 1)*(y + 37)/4
Let i = -6 - -21. Determine o so that 5 + o - 26 + o**2 + i = 0.
-3, 2
Let a(v) be the first derivative of 4*v**3/3 + 6*v**2 - 16*v + 280. Factor a(i).
4*(i - 1)*(i + 4)
Factor -1/4*s**4 - 3/4*s**3 + 0*s + 0 + s**2.
-s**2*(s - 1)*(s + 4)/4
Let m(w) be the first derivative of -4*w**5/5 + w**4 + 4*w**3/3 - 2*w**2 - 238. Solve m(k) = 0.
-1, 0, 1
Solve 735*o**2 - 69*o**3 - 74*o**3 + 138*o**3 = 0 for o.
0, 147
Let f be (-2)/7 + 5 + (-198)/42. Let d(p) be the second derivative of -p - 2/15*p**3 + f*p**4 - 1/75*p**6 + 1/5*p**2 + 1/25*p**5 + 0. Solve d(a) = 0.
-1, 1
Let f(b) be the second derivative of -2*b**7/21 - 16*b**6/15 - 5*b**5 - 38*b**4/3 - 56*b**3/3 - 16*b**2 + 58*b. Suppose f(c) = 0. Calculate c.
-2, -1
Let i be -1 - ((-4536)/1386 - -3*(-1)/(-11)). Find n, given that 1/5*n**i - n + 0 = 0.
0, 5
Let p(k) be the third derivative of -k**5/42 - 437*k**4/84 - 58*k**3/7 + 246*k**2. Factor p(u).
-2*(u + 87)*(5*u + 2)/7
What is s in -19/7 + 18/7*s + 1/7*s**2 = 0?
-19, 1
Let d(r) = -r**3 + 10*r**2 + 10*r + 13. Suppose 0 = 5*q + 27 - 82. Let p be d(q). Factor -2*k + 10*k**2 + p*k**3 - 4 - 14*k**2 + 8*k**2.
2*(k - 1)*(k + 1)*(k + 2)
Let z(n) be the third derivative of 1/6*n**3 + 1/4*n**4 + 3*n**2 - 1/30*n**5 + 0 + 0*n - 1/180*n**6. Let q(v) be the first derivative of z(v). Factor q(w).
-2*(w - 1)*(w + 3)
Let s(m) be the first derivative of 5 + 2/3*m**4 + 0*m**2 + 0*m + 4/5*m**5 - 4/9*m**3. Let s(o) = 0. What is o?
-1, 0, 1/3
Find l, given that -363/4*l**4 + 3 + 33*l + 351/4*l**2 - 33*l**3 = 0.
-1, -2/11, 1
Let m(s) = s + 75. Let v be m(0). Let d = -372/5 + v. Let -3/5*z**5 - d*z + 6/5*z**3 + 0 + 0*z**2 + 0*z**4 = 0. Calculate z.
-1, 0, 1
Let t(d) = 10*d**2 - 1550*d. Let p(i) = -i**2 + 141*i. Let w(b) = 65*p(b) + 6*t(b). Factor w(c).
-5*c*(c + 27)
Let r(v) be the third derivative of -v**6/80 + v**5/4 - 33*v**4/16 + 9*v**3 - 317*v**2 - 2. Factor r(c).
-3*(c - 4)*(c - 3)**2/2
Let j(k) = 7*k**2 - 38*k + 23. Let t(f) be the first derivative of -5*f**3/3 + 25*f**2/2 - 15*f + 6. Let q(z) = 5*j(z) + 8*t(z). Solve q(n) = 0.
1
Let b(o) be the third derivative of 2*o**3 + 0*o + 1/2*o**4 + 0 + 1/20*o**5 + 12*o**2. Let b(p) = 0. Calculate p.
-2
Suppose -13 - 38 = -l - s, 104 = 2*l + s. Suppose 48*o = l*o. Determine p so that -2/9*p**4 + 0*p + o + 2/3*p**3 - 4/9*p**2 = 0.
0, 1, 2
Factor 12*m**2 - 31*m**3 + 24 + m**4 - 3*m**4 + 19*m**3 - 2*m**4 + 44*m.
-4*(m - 2)*(m + 1)**2*(m + 3)
Let w = 90 - 114. Let o be 4*((-9)/w + 0). Factor 1/2*c**3 + o*c**2 + c + 0.
c*(c + 1)*(c + 2)/2
Let g(r) = -2*r**3 - 9*r**2 + 16*r - 10. Let o be g(-6). Find n such that -2*n**3 + 4/9*n**4 + 0*n - 8/9 + 22/9*n**o = 0.
-1/2, 1, 2
Let c(d) = -36*d**2 - 84*d - 69. Suppose 0 = 3*v - 3*z - 15, 0 = 2*v - z + 6*z + 11. Let j(t) = -5*t**2 - 12*t - 10. Let m(x) = v*c(x) - 15*j(x). Factor m(y).
3*(y + 2)**2
Determine z so that -13/10*z**2 + 0 + 3*z - 31/10*z**3 + 13/10*z**4 + 1/10*z**5 = 0.
-15, -1, 0, 1, 2
Let -4*n**4 - 4068*n**2 - 151*n**3 + 15220 - 6480*n - 211*n**3 + 114*n**3 - 4420 = 0. Calculate n.
-30, -3, 1
Suppose a + 56 = 9*a. Factor -a*g + 5*g + 10*g + 4*g**2.
4*g*(g + 2)
Let l(g) = -g**3 - g**2 - g - 1. Let o(b) = -2*b**4 + 4*b**3 + 26*b**2 - 10*b + 6. Let n(q) = 6*l(q) + o(q). Factor n(s).
-2*s*(s - 2)*(s - 1)*(s + 4)
Let x(t) = -20*t**3 + 84*t**2 + 668*t + 1052. Let y(f) = 2*f**3 + f**2 - f - 1. Let m(n) = -x(n) - 8*y(n). Factor m(o).
4*(o - 29)*(o + 3)**2
Let a = 857 + -841. Let k(o) be the first derivative of 3 + a*o + 20/3*o**3 - 24*o**2. Factor k(i).
4*(i - 2)*(5*i - 2)
Let 3/5*n**5 - 384/5 + 434/5*n**3 + 1096/5*n**2 + 736/5*n + 13*n**4 = 0. Calculate n.
-12, -4, -2, 1/3
Let b(w) be the second derivative of -w**7/63 + w**5/15 - w**3/9 - 2*w + 17. Factor b(k).
-2*k*(k - 1)**2*(k + 1)**2/3
Let o(p) = 5*p**3 + 52*p**2 + 378*p + 585. Let a(h) = -4*h**3 - 52*h**2 - 380*h - 582. Let s(k) = 3*a(k) + 2*o(k). Solve s(c) = 0 for c.
-12, -2
Let m(r) be the first derivative of -r**6/360 - r**5/120 + r**4/12 - r**3/3 - 5. Let c(q) be the third derivative of m(q). Let c(x) = 0. What is x?
-2, 1
Solve 3*l + 0 - l**2 - 1/4*l**3 = 0.
-6, 0, 2
Let j be 246/24 - (-6)/8. Factor -7*g**5 + 8*g**3 - g + j*g**5 + g - 12*g**4.
4*g**3*(g - 2)*(g - 1)
Suppose 0 + 2/7*w**5 + 10/7*w**4 + 12/7*w**3 + 0*w + 0*w**2 = 0. What is w?
-3, -2, 0
Let n be -3 + -9*(-2 + 1). Let k = -5 + n. Factor w**3 - 6*w**2 + w**3 + 5 + k - 2*w + 0*w**2.
2*(w - 3)*(w - 1)*(w + 1)
Let b(s) = 13*s**4 + 25*s**3 + 2*s**2 - 16*s - 8. Let c(g) = -g**4 - g**3 - g**2 - g. Let f be (0/(-2) - -1)*(-21 + 25). Let i(p) = f*c(p) + b(p). Factor i(m).
(m - 1)*(m + 2)*(3*m + 2)**2
Let z(p) be the third derivative of p**8/13440 - p**7/1260 + p**6/288 - p**5/120 - 5*p**4/12 - 10*p**2. Let x(w) be the second derivative of z(w). Factor x(t).
(t - 2)*(t - 1)**2/2
Let z(s) be the second derivative of s**6/24 + 5*s**5/16 - 25*s**3/6 - 10*s**2 + 150*s. Find b such that z(b) = 0.
-4, -2, -1, 2
Let r be 11/(-44) + (-178)/(-520). Let n = 112/195 + r. Factor n*j**3 + 0 + 10/9*j**2 - 2/9*j**5 - 2/9*j**4 + 4/9*j.
-2*j*(j - 2)*(j + 1)**3/9
Let d(u) = u**2 - u + 1. Let g(r) = 15*r**2 - 21*r + 36. Let k(w) = -18*d(w) + g(w). Find a such that k(a) = 0.
-3, 2
Suppose 0 = 4*m + 4*s, -5*s + 0 = 2*m + 6. Factor -38*v - 18*v**3 - 7*v**2 - 139 - 27*v**2 - 2*v**4 + 127 - 8*v**m.
-2*(v + 1)**3*(v + 6)
Let d(y) be the first derivative of -3/10*y**5 - 1/2*y**3 + 9/4*y**2 - 9/8*y**4 + 3*y - 3. Find g, given that d(g) = 0.
-2, -1, 1
Let j(r) be the first derivative of 7*r**3 + 18*r**2 - 12*r - 54. Suppose j(l) = 0. Calculate l.
-2, 2/7
Let d(h) be the third derivative of -8*h**7/105 + 17*h**6/10 + 13*h**5/15 - 38*h**2 + 2*h. Let d(b) = 0. Calculate b.
-1/4, 0, 13
Let i(o) = 20*o**2 - 8. Let m(h) = -h**2. Let g = 3 - 1. Let f(q) = g*i(q) + 36*m(q). Let f(t) = 0. What is t?
-2, 2
Let l(z) be the second derivative of z**7/21 + 3*z**6/5 + 11*z**5/5 - 32*z**3/3 - 232*z. Factor l(c).
2*c*(c - 1)*(c + 2)*(c + 4)**2
Suppose 22*t - 63 - 3 = 0. Let n be t/((-5 - (-33)/6)*8). Factor -3/4*y - n*y**2 + 9/2.
-3*(y - 2)*(y + 3)/4
Let o(v) be the first derivative of 0*v + 10 - 5/4*v**4 + 10/3*v**3 + 0*v**2. Factor o(g).
-5*g**2*(g - 2)
Suppose 2*v - 10 = 0, 10*m - 5*m = -4*v + 40. Factor 24*n**3 - 48 + 3*n**m - 24*n + 39*n**2 + 45*n**2 - 39*n**2.
3*(n - 1)*(n + 1)*(n + 4)**2
Let u = -38348/5 - -7670. Find k, given that k**5 + 13/5*k - 32/5*k**2 + 38/5*k**3 - 22/5*k**4 - u = 0.
2/5, 1
Let n(y) be the second derivative of -6*y**2 + 9/5*y**5 + 9/10*y**6 - 5*y - 5/4*y**4 - 6*y**3 + 0. Solve n(b) = 0.
-1, -2/3, 1
Let q(n) be the third derivative of 9*n**7/70 - 3*n**6/8 + 7*n**5/20 - n**4/8 + 3*n**2 - 73*n. Factor q(w).
3*w*(w - 1)*(3*w - 1)**2
Let u(v) be the third derivative of -v**8/1512 + v**7/315 + v**6/54 + 337*v**2. Determine p so that u(p) = 0.
-2, 0, 5
Let c(z) = -z**2 + 2*z - 1. Let f(j) = 7