)*(j + 1)
Let j(o) be the second derivative of 3*o**5/140 + 3*o**4/7 + 17*o**3/14 - 45*o**2/7 - 5*o - 1. Solve j(s) = 0.
-10, -3, 1
Let z(n) = 6*n**3 + 57*n**2 + 39*n - 318. Let y(d) = 13*d + 7*d + 4*d - 4*d + 3*d**3 - 160 + 29*d**2. Let r(l) = -9*y(l) + 5*z(l). Factor r(b).
3*(b - 2)*(b + 5)**2
Suppose 4*r + 0*n = -2*n - 2, -n - 5 = -2*r. Let h(v) = 678*v**2 + 183*v + 9. Let u(o) = o**2 + o - 1. Let b(y) = r*h(y) - 3*u(y). Solve b(j) = 0 for j.
-2/15
Solve -39/2*q - 1/4*q**2 - 1521/4 = 0 for q.
-39
Let y = 55 + -69. Let q be -1 + 0 + -5*y/40. Factor 3/2*m**2 - q*m**3 - 3/2 + 3/4*m.
-3*(m - 2)*(m - 1)*(m + 1)/4
Let d be (-13 + 9)/(2 + -3). Let l(o) be the second derivative of -1/30*o**5 - 1/63*o**7 + 0*o**3 + 0*o**d + 5*o + 0*o**2 + 2/45*o**6 + 0. Factor l(z).
-2*z**3*(z - 1)**2/3
Let a(v) be the first derivative of -v**5/30 + v**4/8 + 26. Let a(x) = 0. What is x?
0, 3
Let r = 20 + -13. Let l(o) = -o**3 + 6*o**2 + 6*o + 9. Let q be l(r). Factor 0 + 0 - 4 + 3*p**q - 5*p**2 + 6*p.
-2*(p - 2)*(p - 1)
Let w(p) be the second derivative of 2*p**6/135 + p**5/15 - 40*p**4/27 - 345*p. Determine d, given that w(d) = 0.
-8, 0, 5
Let a(x) be the second derivative of x**5/90 + x**4/6 - 70*x**3/27 - 51*x + 5. Factor a(v).
2*v*(v - 5)*(v + 14)/9
Let q(h) be the first derivative of -h**6/21 + h**4/7 - h**2/7 - 134. Factor q(s).
-2*s*(s - 1)**2*(s + 1)**2/7
Let q(b) = -4*b**4 + 20*b**3 - 30*b**2 - 50*b - 2. Let c(l) = l**4 - l**3 + 1. Let w(y) = 2*c(y) + q(y). Find r, given that w(r) = 0.
-1, 0, 5
Let s be 5*-4*(-3)/30 + 4. Let q(v) be the third derivative of 0*v**4 - 1/2688*v**8 + 0 + 0*v**5 + 0*v + 0*v**7 + s*v**2 + 1/960*v**6 + 0*v**3. Solve q(x) = 0.
-1, 0, 1
Let h(w) be the first derivative of -w**3/7 - 153*w**2/7 - 7803*w/7 + 176. Let h(t) = 0. What is t?
-51
Suppose -2*c + 4*f - 8*f = 0, 5 = 2*c - f. Let w(h) be the first derivative of -2*h**c - 1/5*h**5 + 1 - 8/3*h**3 + 0*h - 5/4*h**4. Factor w(p).
-p*(p + 1)*(p + 2)**2
Let b(n) be the third derivative of n**8/784 - 3*n**7/245 + 9*n**6/280 - n**5/35 - 3*n**2 - 5*n. Factor b(o).
3*o**2*(o - 4)*(o - 1)**2/7
Let n(b) be the third derivative of -17*b**5/20 + 15*b**4/8 + b**3 - 207*b**2. Factor n(r).
-3*(r - 1)*(17*r + 2)
Let s(m) be the third derivative of 0 - 4*m**2 - 1/105*m**5 + 0*m + 2/21*m**3 - 1/210*m**6 + 1/42*m**4. Factor s(p).
-4*(p - 1)*(p + 1)**2/7
Let w(o) be the second derivative of -22*o + 0 - 2/3*o**3 + 6/7*o**2 - 1/35*o**5 + 5/21*o**4. Find h, given that w(h) = 0.
1, 3
Let x be (60/(-9))/(-5)*114/76. Let k(i) be the second derivative of 3/5*i**6 + 11*i - 2/3*i**3 - 11/6*i**4 + 0 + 0*i**x - 6/5*i**5. Factor k(a).
2*a*(a - 2)*(3*a + 1)**2
Suppose -18/5 + 39/5*o + 3/5*o**3 - 24/5*o**2 = 0. Calculate o.
1, 6
Let j(h) = -h**2 - 4*h + 7. Let q be j(-5). Factor 3*s**3 + 136*s**q - 126*s**2 - s + 4*s.
s*(s + 3)*(3*s + 1)
Let c(l) = -2*l**3 + 15*l**2 - 8*l + 9. Let r be c(7). What is d in -4*d**r + 101*d - 98*d + 7*d**2 - 6 = 0?
-2, 1
Let q(w) be the first derivative of -w**3/4 + 9*w**2/4 - 22. Factor q(o).
-3*o*(o - 6)/4
Solve 28*d**2 - 17*d + 82 + 5*d**4 + 3*d**4 - 22*d**3 + 78 - 156 - d**5 = 0.
1, 4
Let s be (-1148)/(-924)*11 + 12/(-1). Let r(y) = y**3 + 5*y**2 - 7*y - 6. Let x be r(-6). What is a in -s*a**4 + 0*a - 2/3*a**3 + a**5 + x*a**2 + 0 = 0?
-1/3, 0, 2
Let q(h) be the second derivative of -h**8/3360 - h**7/1680 + 10*h**3/3 + 21*h. Let a(f) be the second derivative of q(f). Determine w, given that a(w) = 0.
-1, 0
Let a = -144 + 233. Solve -95*x - 2*x**2 + 0 + 3 + a*x + 5*x**2 = 0.
1
Let r(w) be the third derivative of -2*w**7/735 + 11*w**6/105 + 24*w**5/35 + 37*w**4/21 + 50*w**3/21 + 56*w**2. Factor r(k).
-4*(k - 25)*(k + 1)**3/7
Let x(u) be the third derivative of u**8/15120 - u**7/3780 - u**6/1080 + 9*u**3/2 - 58*u**2. Let r(y) be the first derivative of x(y). Factor r(v).
v**2*(v - 3)*(v + 1)/9
Let d(t) be the first derivative of -7*t**5/8 - 45*t**4/4 - 40*t**3 + 40*t**2 - 28*t + 35. Let y(f) be the first derivative of d(f). Factor y(q).
-5*(q + 4)**2*(7*q - 2)/2
Let 118/7*h**2 + 24/7*h**3 - 2/7*h**4 + 64/7 + 156/7*h = 0. What is h?
-2, -1, 16
Factor 3*v**3 - 20*v - 7*v**2 - 27*v**2 - 5*v**3 - 4*v**3.
-2*v*(v + 5)*(3*v + 2)
Factor 26/3*f + 11/3*f**2 + 16/3 + 1/3*f**3.
(f + 1)*(f + 2)*(f + 8)/3
Let a(q) = -q**2 - 3*q + 3. Let i be a(-3). Suppose -g**i - 2 + 2 + 2 + 2*g**2 - 5*g + 2*g**2 = 0. What is g?
1, 2
Suppose 771*d + 14 = 778*d. Let 20/7*r + 16/7*r**d + 0 - 4/7*r**3 = 0. What is r?
-1, 0, 5
Factor 0 + 63*l**2 + 0*l + 3/4*l**4 + 255/4*l**3.
3*l**2*(l + 1)*(l + 84)/4
Let a(f) be the first derivative of -1/2*f**2 - 3*f**4 - 17 - 67/15*f**3 + 2/5*f. Let a(y) = 0. What is y?
-1, -1/4, 2/15
Factor 1/2*a**2 + 0 + 1/6*a**5 + 0*a - 1/2*a**4 - 1/6*a**3.
a**2*(a - 3)*(a - 1)*(a + 1)/6
Let j = 2 + 0. Factor 6*w**2 + 10*w + 5*w + w**2 - 12*w**j.
-5*w*(w - 3)
Let z(r) be the first derivative of -r**4/2 + 8*r**3 - 47*r**2 + 120*r - 680. Factor z(j).
-2*(j - 5)*(j - 4)*(j - 3)
Determine s, given that 124/7*s - 18 + 2/7*s**2 = 0.
-63, 1
Let n(b) be the third derivative of -b**5/30 - 7*b**4 - 588*b**3 - 56*b**2 - 2. Let n(j) = 0. What is j?
-42
Let w be -6*(-1197)/(-1800) + 4. Let q(m) be the second derivative of 0 - 2*m + 1/5*m**2 - 1/10*m**3 + w*m**5 + 0*m**4. Factor q(t).
(t - 1)**2*(t + 2)/5
Solve -679 - 1771 + 84*y**2 + 4*y**3 - 3038 = 0.
-14, 7
Let b be 15/(-20)*(16/18)/(-4). Suppose 0 = -3*r - 3, -7*g = -3*g + 4*r - 12. Factor 1/2*c**g + c + b + 2*c**2 + 5/3*c**3.
(c + 1)**3*(3*c + 1)/6
Let u(q) = 11*q**3 - 2*q**2 - 60*q + 12. Let p(l) = 43*l**3 - 8*l**2 - 240*l + 52. Let n(a) = -6*p(a) + 26*u(a). Factor n(c).
4*c*(c + 2)*(7*c - 15)
Let p(m) = -2*m**2 + 2. Let k be 20/90 + 75/27. Let z(q) be the first derivative of q**3/3 - q**2/2 - 2*q + 1. Let g(c) = k*z(c) + 2*p(c). Factor g(f).
-(f + 1)*(f + 2)
Let c(q) be the first derivative of -q**6/15 + 4*q**5/5 - 3*q**4 + 16*q**3/3 - 5*q**2 + 12*q/5 - 96. Factor c(z).
-2*(z - 6)*(z - 1)**4/5
Factor -30/7*c - 18/7*c**4 - 66/7*c**2 - 4/7 - 58/7*c**3.
-2*(c + 1)**3*(9*c + 2)/7
Let o(i) be the second derivative of -i**7/672 + 11*i**6/1440 - i**5/240 - 25*i**3/6 - 3*i. Let z(b) be the second derivative of o(b). Factor z(a).
-a*(a - 2)*(5*a - 1)/4
Let -2/3*g**5 + 19/3*g**2 + 1/3*g - 2 - 5/3*g**4 + 3*g**3 = 0. What is g?
-3, -1, 1/2, 2
Let r(v) be the second derivative of -5*v**4/3 + 65*v**3/6 - 15*v**2/2 - 48*v + 2. Factor r(l).
-5*(l - 3)*(4*l - 1)
Determine i so that -48/11*i + 104/11 - 2/11*i**2 = 0.
-26, 2
Factor -38/7 - 36/7*x + 2/7*x**2.
2*(x - 19)*(x + 1)/7
Factor -3/5*s**2 + 0 - 42/5*s.
-3*s*(s + 14)/5
Let -576/7 - 10/7*p**5 - 384*p - 556*p**2 - 264/7*p**4 - 2034/7*p**3 = 0. What is p?
-12, -1, -2/5
Let x(h) be the second derivative of h**4/42 + 10*h**3/21 + 3*h**2 - 21*h - 3. Solve x(d) = 0.
-7, -3
Let d = 141/1084 + 2981379/5420. Let u = 552 - d. Suppose -u*f**3 - 3/5*f + 9/5*f**2 + 0 + 3/5*f**4 = 0. What is f?
0, 1
Let b(p) = -p**3 + 18*p**2 - 32*p + 34. Let g(s) = -s + 1. Let o(j) = b(j) + 2*g(j). Let r be o(16). Factor 5/3*c**2 + 4/3 - r*c.
(c - 2)*(5*c - 2)/3
Suppose 0 + 26*j**2 + 12*j + 58/3*j**3 + 2/3*j**5 + 6*j**4 = 0. Calculate j.
-3, -2, -1, 0
Suppose -5*u + 17*u - 324 = 0. Suppose 6*o = 51 - u. Factor 0 + 6/5*i**2 - 2/5*i + 2/5*i**o - 6/5*i**3.
2*i*(i - 1)**3/5
Suppose 20 = -5*d - 15. Let g(m) = -m**2 + 12*m - 8. Let b(t) = t**2 - 24*t + 16. Let x(r) = d*g(r) - 3*b(r). Let x(f) = 0. What is f?
1, 2
Let 0 + 1/8*g**2 - 7/2*g**4 - 1/8*g + 2*g**5 + 3/2*g**3 = 0. Calculate g.
-1/4, 0, 1/2, 1
Let v(i) = -i. Let r(h) = -7 - 3 + 11 - 10*h - h**2 + 1. Let o(q) = 2*r(q) - 22*v(q). Solve o(u) = 0 for u.
-1, 2
Let c = -4 + 10. Suppose -m = 2*m - c. Factor 5 + 4*i**3 - 6 - 8*i**m + 1 + 4*i.
4*i*(i - 1)**2
Let s(k) = -k**3 + 7*k**2 - k. Let l be s(5). Let g be 6/(-15) + 153/l. Factor 8*f**2 - 20 + g*f**2 - 5*f**3 + 4*f**2 + 0*f**2.
-5*(f - 2)**2*(f + 1)
Factor 4/3*d**2 + 4096/3 + 256/3*d.
4*(d + 32)**2/3
Suppose -7*s - 93 = 103. Let y be 4 - ((-208)/s - 4). Factor 16/7*f + 12/7*f**2 + y.
4*(f + 1)*(3*f + 1)/7
Let y(v) = -v**2 + 3*v + 7. Let b be y(4). Suppose -b*i = -6*i + 9. Factor -2*r + 4/3 + 0*r**2 + 2/3*r**i.
2*(r - 1)**2*(r + 2)/3
Let b(v) = -5*v**3 + 16*v**2 + 11*v. Let f(g) be the first derivative of -6 + g**2 - 1/4*g**4 + 0*g + g**3. Le