 be 2/6*18/k. Factor 8/7*m - s*m**2 - 6/7.
-2*(m - 3)*(m - 1)/7
Let b(t) = 158*t**3 + 778*t**2 + 800*t + 51. Let z(n) = 80*n**3 + 388*n**2 + 400*n + 26. Let j(m) = 6*b(m) - 13*z(m). Solve j(v) = 0.
-2, -2/23
Let d be (-7)/(-8)*(-2)/(-7). Let s(c) be the second derivative of 3/2*c**2 - 7*c + d*c**4 + 0 + c**3. Factor s(p).
3*(p + 1)**2
Let y = -187 - -187. Let s be (-7)/((-105)/12) + y/(-2). What is x in -16/5*x**5 - 8/5*x**2 - 16/5*x + 4/5*x**4 + 32/5*x**3 + s = 0?
-1, 1/4, 1
Let d be (-3)/4 - (-9 - (-233)/36). Factor d*k - 14/9*k**2 - 2/9.
-2*(k - 1)*(7*k - 1)/9
Suppose 102 = 19*h + 26. Let b(o) be the first derivative of 1/4*o**2 - 17/8*o**h + 4/3*o**6 - 1/3*o + 17/9*o**3 + 2 - 16/15*o**5. Find i, given that b(i) = 0.
-1, -1/4, 1/4, 2/3, 1
Let b(p) = p**3 - p**2 + 1. Let g be (1 - -2)*(-2)/(-6). Let x(f) = 5*f**4 - 7*f**3 + 6. Let k(y) = g*x(y) - 6*b(y). Find m, given that k(m) = 0.
0, 3/5, 2
Suppose 1/5*y**2 + 74/5*y - 15 = 0. What is y?
-75, 1
Let j(o) be the third derivative of -1/840*o**7 + 0 + 1/96*o**4 - 13*o**2 + 0*o + 0*o**3 + 1/160*o**6 - 1/80*o**5. Factor j(r).
-r*(r - 1)**3/4
Let n(j) be the first derivative of -20/3*j**3 + 0*j + 4/5*j**5 - 3*j**4 - 7 + 2/3*j**6 - 4*j**2. Determine q, given that n(q) = 0.
-1, 0, 2
Let o(a) be the second derivative of 1/14*a**4 - 4/7*a**2 + 6*a + 0*a**3 + 1/70*a**5 + 0. What is p in o(p) = 0?
-2, 1
Let t = 7 - 21. Let c = -12 - t. Suppose -3*r - 19*r - 4*r**c - 48 - 10*r - 16 = 0. What is r?
-4
Let m(t) be the first derivative of 0*t - 1/15*t**5 + 1 - 1/3*t**4 - 2/3*t**3 + 2*t**2. Let u(j) be the second derivative of m(j). Factor u(v).
-4*(v + 1)**2
Suppose 0 = -2*c + 3*i - 9, -7*c + i = -3*c + 13. Let b be ((-3)/(-16))/(((-3)/4)/c). Solve b*k**4 - 3/4*k**3 + 0 - 3/2*k**2 + 0*k = 0.
-1, 0, 2
Let p(y) be the first derivative of 5*y**6/6 + 9*y**5 + 75*y**4/4 + 35*y**3/3 + 165. Factor p(j).
5*j**2*(j + 1)**2*(j + 7)
Suppose -237*k - 6 = -243*k. Let f(r) be the first derivative of -k - 2/21*r**3 + 0*r**2 + 0*r. Factor f(m).
-2*m**2/7
Let s(o) = -2*o**3 + 18*o**2 - 51*o + 54. Let k(c) = 4*c**3 - 36*c**2 + 103*c - 108. Let i(j) = -3*k(j) - 5*s(j). Factor i(q).
-2*(q - 3)**3
Let b(y) be the first derivative of -18/7*y**2 - 3/28*y**4 + 24/7*y + 6/7*y**3 + 15. Factor b(v).
-3*(v - 2)**3/7
Let l(i) be the first derivative of -i**6/1080 - 11*i**5/180 - 121*i**4/72 - 40*i**3/3 - 49. Let k(x) be the third derivative of l(x). Factor k(u).
-(u + 11)**2/3
Let a = 1421 - 1416. Let r(h) be the second derivative of 1/21*h**7 - 4/15*h**6 + 0*h**3 + 0*h**4 + 6*h + 2/5*h**a + 0 + 0*h**2. Suppose r(k) = 0. Calculate k.
0, 2
Let n be 1 + 1 + 14 + -7. Let r be n/36 + 115/4. Find q, given that -14*q - 3*q**2 + 1 + r*q + 11 + 6*q**2 = 0.
-4, -1
Let a(f) be the first derivative of f**4/48 + f**3/3 + 2*f**2 - f - 15. Let h(g) be the first derivative of a(g). Factor h(n).
(n + 4)**2/4
Let k be -58*(-5)/10 - -1. Let b = k + -28. Factor 0*q**b - 4/3*q**4 + 0*q + 2/3*q**3 + 2/3*q**5 + 0.
2*q**3*(q - 1)**2/3
Let c be 8/(-60) + -14 + (-2583)/(-135). Find j such that 12*j**2 - 12*j**4 - 6*j + 0 - 15/2*j**c + 27/2*j**3 = 0.
-2, -1, 0, 2/5, 1
Suppose 11*z + 123 = 123. Find i such that -2/7*i**5 + 2/7*i**3 - 2/7*i**2 + z*i + 2/7*i**4 + 0 = 0.
-1, 0, 1
Let g(m) be the third derivative of m**5/60 - m**4/2 - 13*m**3/6 - m**2 + 58*m. Determine l so that g(l) = 0.
-1, 13
Let s(z) be the first derivative of -z**5/5 - 57*z**4/20 - 74*z**3/5 - 32*z**2 - 96*z/5 - 717. Determine m so that s(m) = 0.
-4, -3, -2/5
Let s(n) be the second derivative of n**4/6 - 15*n**3 + 44*n**2 + 19*n + 2. Find x such that s(x) = 0.
1, 44
Suppose 2*q - 3*o - 6 = -7*o, 3*q = -4*o + 15. Factor -10*r**2 + 3*r**5 - 3*r**4 - 3*r + 4*r**2 + q*r**4.
3*r*(r - 1)*(r + 1)**3
Let i(n) be the third derivative of 1/4*n**5 + 0 - 48*n**2 - 1/4*n**4 + 1/112*n**8 + 0*n**3 + 0*n - 1/70*n**7 - 3/40*n**6. What is k in i(k) = 0?
-2, 0, 1
Let p(c) be the first derivative of -2*c + 22 + 9/2*c**2 + 5/4*c**4 - 4*c**3. Factor p(r).
(r - 1)**2*(5*r - 2)
Suppose 4 = 3*m - 5. Suppose 5 = 2*r + o, 0 = m*r - o - 0*o - 10. Factor -9*v - 62*v**3 + 7*v - 10*v - 169*v**r - 147*v**4 - 96*v**2.
-3*v*(v + 1)*(7*v + 2)**2
Let s(v) be the third derivative of -2*v**7/105 - v**6/30 + v**5/5 + v**4/6 - 4*v**3/3 + 97*v**2. Let s(a) = 0. Calculate a.
-2, -1, 1
Suppose 5*o + 32 = 2*s, 10 = 6*s - 3*s + 2*o. Let p(h) be the second derivative of -3/16*h**4 + 0*h**2 + 0*h**5 + 1/40*h**s + 0 - 1/4*h**3 - 8*h. Factor p(l).
3*l*(l - 2)*(l + 1)**2/4
Let m = -50 - -86. Let y be 7/4 + 9/m. Determine w, given that -w + w**y - 4*w**2 - 2*w = 0.
-1, 0
Let k(m) be the third derivative of 17*m**6/720 + 19*m**5/40 + 145*m**4/48 + 25*m**3/36 + 23*m**2. Factor k(z).
(z + 5)**2*(17*z + 1)/6
Let x be (0 - 6)*(-80)/160. Find q such that -3/4 - 2*q + 7*q**3 + x*q**4 + 11/4*q**2 = 0.
-3/2, -1, -1/3, 1/2
Let l(u) be the first derivative of -35*u**4/12 - 40*u**3/9 - 5*u**2/6 + 39. Solve l(y) = 0 for y.
-1, -1/7, 0
Let x be (-1287)/(-390) - 48/(-40). Factor 3/2*d**3 - 9/2*d**2 + x - 3/2*d.
3*(d - 3)*(d - 1)*(d + 1)/2
Find d, given that -8/7 - 8/7*d + 2/7*d**2 + 2/7*d**3 = 0.
-2, -1, 2
Let s(u) be the second derivative of -u**6/1080 - u**5/135 - 5*u**4/216 - u**3/27 - 5*u**2 - 19*u. Let x(y) be the first derivative of s(y). Factor x(h).
-(h + 1)**2*(h + 2)/9
Let p(h) be the third derivative of 3*h**8/280 - 13*h**7/175 + 67*h**6/300 - 19*h**5/50 + 2*h**4/5 - 4*h**3/15 - 4*h**2 + 5. Factor p(y).
2*(y - 1)**3*(3*y - 2)**2/5
Factor -12*b - 1/5*b**3 + 16/5*b**2 + 0.
-b*(b - 10)*(b - 6)/5
Let c(m) be the first derivative of 7*m**4/16 - 5*m**3/12 - m**2/4 - 10. Let c(h) = 0. Calculate h.
-2/7, 0, 1
Let z(g) be the second derivative of -g**6/165 + g**5/55 + 2*g**4/33 - 8*g**3/33 + 3*g + 189. Factor z(c).
-2*c*(c - 2)**2*(c + 2)/11
Let q(l) be the third derivative of -3*l**2 - 1/120*l**5 - 1/16*l**4 - 1/2160*l**6 + 0*l + 0 - 5/6*l**3. Let w(v) be the first derivative of q(v). Factor w(x).
-(x + 3)**2/6
Suppose 3*p = p + 8. Let l(i) be the first derivative of -p*i**2 + 7*i**2 - 5*i**3 + 2 + 4*i**3 - 5. Factor l(z).
-3*z*(z - 2)
Let t(a) = -41*a + 1. Let j be t(2). Let z be (-6 - 0)*3/j. Factor -2/3 + 4/9*w + z*w**2.
2*(w - 1)*(w + 3)/9
Let l = -51/13 + 179/39. Let 1/3*v**2 + 1/3 - l*v = 0. What is v?
1
Let d(b) be the second derivative of b**7/42 + b**6/15 - 13*b**5/20 + 5*b**4/6 + 194*b - 2. Factor d(l).
l**2*(l - 2)*(l - 1)*(l + 5)
Let c(l) be the third derivative of -l**6/90 + l**5/60 + l**4/8 + l**3/9 + l**2 + 11. Factor c(x).
-(x - 2)*(x + 1)*(4*x + 1)/3
Let o = 4606 + -4606. Factor 1/3*t**4 + 1/3*t**2 + o + 2/3*t**3 + 0*t.
t**2*(t + 1)**2/3
Let s = 6 + -4. Suppose -22 = -3*m - 4. What is d in m*d**2 + 5*d**3 + s*d**4 + 2*d**3 - 2*d + 0*d - 13*d**3 = 0?
0, 1
Let d = 118899/74315 + 1/14863. Factor -d - 4/5*u + 12/5*u**2.
4*(u - 1)*(3*u + 2)/5
Let y(r) be the second derivative of r**8/560 - r**7/70 + r**6/40 + r**5/10 - r**4/2 + 4*r**3/3 + 6*r. Let o(p) be the second derivative of y(p). Factor o(g).
3*(g - 2)**2*(g - 1)*(g + 1)
Let r(b) be the third derivative of 0*b**5 + 0*b**4 + 0*b + 9*b**2 + 0 - 1/448*b**8 - 1/160*b**6 + 0*b**3 - 1/140*b**7. Factor r(v).
-3*v**3*(v + 1)**2/4
Let f = 1 - -2. Let h be 5/(5/f) + 0. Factor 5*w**3 + w**5 - 2*w**h - 4*w + 5*w**2 + 0*w**4 - w**2 - 4*w**4.
w*(w - 2)**2*(w - 1)*(w + 1)
Let b(c) be the second derivative of c**7/3150 + c**6/360 - c**5/100 + 2*c**4/3 + 6*c. Let m(s) be the third derivative of b(s). Find w, given that m(w) = 0.
-3, 1/2
Let a(m) be the third derivative of 0 - 1/8*m**4 + 1/20*m**5 + 14*m**2 + 0*m + 0*m**3. Determine f, given that a(f) = 0.
0, 1
Let i be 44/6 - (-4)/(-12). Suppose -16 - 12 = -i*g. Solve 0 - 2*c**2 - 4/3*c + 2/3*c**5 + 2/3*c**3 + 2*c**g = 0.
-2, -1, 0, 1
Suppose 0 = 3*l + 5*b - 27, 6*l - 3*b + 4*b = 27. Suppose 1/3*s + 1/6*s**2 - 1/6*s**l - 1/3*s**3 + 0 = 0. Calculate s.
-2, -1, 0, 1
Let c = -142 + 998/7. Factor 0*j**3 + 0 + 0*j - c*j**4 + 0*j**2.
-4*j**4/7
Let r = -15/19 - -601/665. Let l(h) be the first derivative of 0*h + 4/21*h**3 - 10 + 1/14*h**2 + 3/14*h**4 + r*h**5 + 1/42*h**6. Determine s so that l(s) = 0.
-1, 0
Factor 1 + 7 - 12*u**2 + 8*u**2 + 2*u + 3*u**3 + 9*u**2 - 28*u.
(u - 2)*(u + 4)*(3*u - 1)
Let a = 8437 + -8434. Suppose -15/4*o + 3/2 + a*o**2 - 3/4*o**