)/5. Find d such that -30/7*d**4 + 9/7*d**5 - 4*d + 22/7*d**2 + s*d**3 + 8/7 = 0.
-1, 2/3, 1, 2
Let a(n) be the first derivative of 0*n**4 - 5 - 1/50*n**5 + 1/75*n**6 + 0*n**2 + 0*n**3 + 7*n. Let c(w) be the first derivative of a(w). Factor c(l).
2*l**3*(l - 1)/5
Let g(o) = -9*o**2 - 11*o - 40. Let v be g(-4). Let j = 140 + v. Factor 0 + 12/7*w**4 + 0*w + 3/7*w**5 + 12/7*w**3 + j*w**2.
3*w**3*(w + 2)**2/7
Let c be (40/(-7) - -2) + (-12)/42. Let j be (((-16)/(-55))/c)/(2/(-5)). Factor -2/11*b**2 - j*b + 0.
-2*b*(b + 1)/11
Let o be (216 - -2 - 5) + 6. Let p = -1527/7 + o. Factor 10/7*m - 2/7*m**3 - 4/7 - p*m**2 + 2/7*m**4.
2*(m - 1)**3*(m + 2)/7
Let k be -4 + (-54)/(-3*1/(-2)). Let o be (1 - 0)/((-8)/k). Factor -1/4*x + 0*x**3 + 1/2*x**2 - 1/2*x**4 + 1/4*x**o + 0.
x*(x - 1)**3*(x + 1)/4
Let s(k) = 7*k**2 - 15*k - 4. Let i(u) = -20*u**2 + 44*u + 13. Let o(f) = -6*i(f) - 17*s(f). Determine d, given that o(d) = 0.
-1, 10
Let f(u) be the second derivative of u**5/30 - u**4/6 + u**3/3 - 5*u**2/2 - 14*u. Let g(i) be the first derivative of f(i). Determine j so that g(j) = 0.
1
Let t(y) = 2*y**3 - 4*y**2 + 2*y + 2. Let i be t(2). Suppose 0 = i*s - 3*s + 6, 3*s = 3*z - 6. Factor -1/3*u**2 + 0 + z*u - 1/3*u**3.
-u**2*(u + 1)/3
Factor 1/2*k**2 - 1/2*k**4 + k**3 - k + 0.
-k*(k - 2)*(k - 1)*(k + 1)/2
Let a(g) be the third derivative of -g**7/1785 + 3*g**6/340 + 7*g**5/170 + 11*g**4/204 + 18*g**2 + g. Let a(k) = 0. What is k?
-1, 0, 11
Let b(z) be the second derivative of 9/14*z**3 + 1/28*z**4 + 0 + 12/7*z**2 + 6*z. Factor b(k).
3*(k + 1)*(k + 8)/7
Let b(m) = 2*m**2 - 28*m + 18. Let l(i) = -i**2 + 26*i - 19. Let u(o) = -3*b(o) - 4*l(o). Determine q, given that u(q) = 0.
-11, 1
Let n(j) be the second derivative of 0 - 16/3*j**3 + 5/3*j**6 + 0*j**2 - 38/3*j**4 - 8*j**5 + 7*j. Solve n(v) = 0 for v.
-2/5, 0, 4
Suppose -3*m = 3*a + 120, 4*m = a + m + 32. Let q be (10/(-6))/(95/a). Solve 0*v**4 - 2/3*v**5 + 0 + 0*v**2 + 0*v + q*v**3 = 0.
-1, 0, 1
Let n = -146 - -150. Suppose -n = -62*b + 60*b. Suppose -6 + 10/3*v**b + 2/3*v**3 + 2*v = 0. Calculate v.
-3, 1
Let b be 9/((-5)/4 + (-42)/(-168)) + 12. Solve 6*y**2 + 3*y**3 - 3/2*y**4 - b*y - 9/2 = 0 for y.
-1, 1, 3
Let s(n) = -7*n**4 - 3*n**3 - n**2 + 3*n + 2. Let t(k) = 6*k**4 + 3*k**3 - 3*k - 1. Let v(r) = 5*s(r) + 6*t(r). Factor v(y).
(y - 1)**2*(y + 1)*(y + 4)
Suppose 116*j - 2 + 54 - 769*j**3 + 76*j**2 + 781*j**3 = 0. What is j?
-13/3, -1
Let x(p) be the first derivative of 2*p**7/105 + p**6/30 - p**5/5 - 5*p**4/6 - 4*p**3/3 + 6*p**2 + 12. Let c(z) be the second derivative of x(z). Factor c(y).
4*(y - 2)*(y + 1)**3
Let r(z) be the third derivative of -z**6/144 + 3*z**5/40 + 5*z**4/36 - z**3/3 - 21*z**2. Factor r(a).
-(a - 6)*(a + 1)*(5*a - 2)/6
Solve -43*x**3 + 31 + 8*x**5 + x**5 + 15*x + 26*x**2 + 93*x**4 - 6 + 293*x**3 - 130*x = 0.
-5, -1, 1/3
Suppose -3*m + 0*m = 0. Suppose -5*t = -2*n - 4*t - 1, 5*n - 5*t + 15 = m. Let -7*o**n - 7*o**3 + 3*o**3 + 4*o**2 + 4*o**2 = 0. Calculate o.
0, 1/4
Suppose -24*z + 37*z + 91 = 0. Let b be 208/28*(-5 - z). Suppose b*t + 8/7 + 338/7*t**2 = 0. Calculate t.
-2/13
Let t(s) be the second derivative of s**6/30 - s**5/10 - 2*s**4/3 + 3*s**3 - 9*s**2/2 - 93*s + 6. Factor t(g).
(g - 3)*(g - 1)**2*(g + 3)
Suppose -111 = 2*q + 193. Let k be 40/19 - (-16)/q. Factor 0*j**k - 4/5*j**3 + 4/5*j + 2/5*j**4 - 2/5.
2*(j - 1)**3*(j + 1)/5
Factor -2/7*r**2 + 220/7 + 106/7*r.
-2*(r - 55)*(r + 2)/7
Solve -7*u**4 - 5*u**4 - 20*u**2 - 5*u**5 + 32*u**2 + u**5 + 4*u**3 = 0 for u.
-3, -1, 0, 1
Suppose -5*y = -y + 4*f - 12, -y = -3*f + 9. Let h(r) be the first derivative of -5 + 0*r - 4/3*r**3 + y*r**2 - 1/2*r**4. Factor h(z).
-2*z**2*(z + 2)
Let w = 892/5 - 48167/270. Let x(g) be the third derivative of 0 + 0*g**4 + w*g**6 + 2*g**2 - 1/1512*g**8 + 0*g + 0*g**3 + 1/945*g**7 + 0*g**5. Factor x(t).
-2*t**3*(t - 2)*(t + 1)/9
Let y(j) be the second derivative of 0 - 23/195*j**6 + 0*j**2 - 2/39*j**4 + 2/13*j**5 + 1/39*j**7 + 0*j**3 + 7*j. What is n in y(n) = 0?
0, 2/7, 1, 2
Let u be (-5)/(-30) - (-12)/(-72). Let d(c) be the first derivative of u*c + c**3 - 8 + 3/4*c**4 + 0*c**2. Factor d(s).
3*s**2*(s + 1)
Let k(y) be the first derivative of 0*y + 1/3*y**6 - 2*y**2 + 9 + 10/3*y**3 - 3/2*y**4 - 2/5*y**5. Suppose k(z) = 0. Calculate z.
-2, 0, 1
Let o be (-1)/6*18/(-9). Let p(a) be the second derivative of 0 + 19/60*a**5 - 5/12*a**4 + 1/18*a**3 - 4*a - 7/90*a**6 + o*a**2. Factor p(z).
-(z - 1)**3*(7*z + 2)/3
Let p(g) be the third derivative of -g**8/1512 + 4*g**7/945 - g**6/108 + g**5/135 - 3*g**2 - 14. Factor p(z).
-2*z**2*(z - 2)*(z - 1)**2/9
Let r be (4/12)/(((-24)/(-4))/6). Let -7/2*o**3 - 10/3*o**2 + 7/6*o**5 - 2/3*o + 0 + r*o**4 = 0. Calculate o.
-1, -2/7, 0, 2
Let c(m) = -4*m**3 + 10*m**2 - 14*m + 14. Let x(u) = 5*u**3 - 10*u**2 + 13*u - 16. Let p(i) = 4*c(i) + 3*x(i). Solve p(f) = 0.
1, 8
Suppose -5*a - 3*q + 6 = 0, 5*a - 2*q + 3*q = 2. Let g = 9 + -9. Let a*u - 3*u**2 + 0*u**2 + 3*u + g*u**2 = 0. What is u?
0, 1
Let c = 14 - 14. Suppose -4/5*o**5 + 0*o**4 + 4/5*o**3 + 0 + c*o**2 + 0*o = 0. What is o?
-1, 0, 1
Let k = 48 - 39. Factor 18*i**2 - 15*i - 15*i**2 + 0 + k + 3*i.
3*(i - 3)*(i - 1)
Let k = -7/775 - -743/65100. Let y(i) be the third derivative of 0 + 0*i**3 + 0*i - 1/210*i**5 - 2*i**2 - k*i**6 + 0*i**4. Factor y(z).
-2*z**2*(z + 1)/7
Let d(l) = l**2 + 6*l - 5. Let r(v) = v - 16. Let o be r(9). Let g be d(o). Let -11*f + 3*f - 7*f**g + 8 + 9*f**2 = 0. Calculate f.
2
Let g be (4/10)/(12/30). Determine v so that -341*v**3 + 0*v + 340*v**3 - v**2 + g + 2*v - v = 0.
-1, 1
Let t(x) be the third derivative of -x**10/151200 - x**9/18900 - x**8/11200 + x**4/3 - 13*x**2. Let w(j) be the second derivative of t(j). Factor w(b).
-b**3*(b + 1)*(b + 3)/5
Let k(f) be the first derivative of -3*f**4/4 - 20*f**3 + 129*f**2/2 - 66*f - 45. Factor k(r).
-3*(r - 1)**2*(r + 22)
Let i(j) = j**2 + 5*j - 2. Let q be i(-6). Suppose -q = 3*p - 10. Suppose -6*k**3 + 0*k + 6 + 2*k**3 + p + 12*k = 0. What is k?
-1, 2
Let r(v) = -62*v**4 + 68*v**3 - 12*v**2 + 12*v. Let b(d) = -d**4 + 2*d. Let g(i) = 6*b(i) - r(i). Factor g(s).
4*s**2*(s - 1)*(14*s - 3)
Let j be (4 + -7 + 2)*(-6 - -1). Find i such that -2174*i - 586 - 4066*i - 6624*i**3 - 98*i**j + 1806*i**4 - 14128*i**2 - 214 - 160*i**3 = 0.
-1, -2/7, 10
Let v = 513 - 49249/96. Let c = 25/96 + v. Factor -2*p - 4 - c*p**2.
-(p + 4)**2/4
Let y(b) be the first derivative of 5*b**3/3 + 5*b**2/2 - 30*b - 106. Let y(r) = 0. Calculate r.
-3, 2
Let w(p) be the first derivative of -p**5/15 - 5*p**4/3 - 22*p**3/9 + 130*p**2 - 507*p + 464. Factor w(c).
-(c - 3)**2*(c + 13)**2/3
Suppose -2*n - 4*v + 6 = -7*n, 4*n + 4 = 3*v. Suppose -n = -c - c. Factor 1/2*l + c - 1/2*l**2.
-(l - 2)*(l + 1)/2
Let q(t) = -t**2 - 2*t + 68. Let x be q(-9). Suppose -x*d = -3*k + 57, -3*k - 3*d = -19 - 14. Let -4/5 - k*u**2 - 34/5*u = 0. Calculate u.
-2/7, -1/5
Let r(p) be the third derivative of -p**6/780 - p**5/195 - 3*p**2 - 3. Factor r(m).
-2*m**2*(m + 2)/13
Let l(j) be the second derivative of -j**5/40 - 55*j**4/24 - 9*j**3/2 - 85*j. Factor l(c).
-c*(c + 1)*(c + 54)/2
Let n(t) be the third derivative of t**8/840 - t**7/210 + t**6/180 + 19*t**3/6 - 6*t**2. Let g(v) be the first derivative of n(v). Factor g(b).
2*b**2*(b - 1)**2
Let g(w) = -w**5 - w**4 + w**3 - w. Let x(c) = -7*c**5 + 23*c**4 - 20*c**3 - 4*c. Let z(v) = 4*g(v) - x(v). Determine b so that z(b) = 0.
0, 1, 8
Let o = 458/7 - 5010/77. Solve 0*p + 2/11*p**4 + 2/11*p**2 + o*p**3 + 0 = 0 for p.
-1, 0
Let m(l) be the second derivative of 6*l**7/7 + 10*l**6/3 + 21*l**5/5 + l**4 - 4*l**3/3 + 2*l - 14. Solve m(g) = 0.
-1, 0, 2/9
Let f be 0/(4 - 9)*-1. Factor -o**3 + o**4 + f*o**4 - 4*o**4.
-o**3*(3*o + 1)
Let a(x) = 43*x**2 - 19*x - 23. Let q(z) = -20*z**2 + 9*z + 11. Let m(w) = 6*a(w) + 13*q(w). Factor m(l).
-(l + 1)*(2*l - 5)
Solve -4/3*o**4 - 58/3*o**2 - 10*o**3 - 10/3 - 14*o = 0.
-5, -1, -1/2
Let l = 112801/651 + 1250/93. Let q = 187 - l. Suppose 2/7*x**5 + 2/7*x - 4/7*x**3 + 2/7 - 4/7*x**2 + q*x**4 = 0. What is x?
-1, 1
Suppose -2*t - b - 12 = 0, 3*t + 3*b + 28 - 7 = 0. Let d = -2 - t. Find m, given that 3*m + m**d - 5 - 3*m**3 - m + 1 + 4*m**2 = 0.
-1, 1, 2
Suppose 4*d = -0*g - g + 16, 2*g = d - 4. Factor 4*c - 4*c - 3*c**d + 97*c**2 - 94*c*