 2)*(y + 1)**3/5
Let x = 19228 - 96691/5. Let k = x + 111. Determine j so that j**2 - 8/5*j + k - 1/5*j**3 = 0.
1, 2
Let d = -16 + 10. Let r(l) = -5*l**2 - 11*l + 6. Let h(m) be the third derivative of m**4/24 - m**3/6 - 71*m**2. Let j(i) = d*h(i) - r(i). Factor j(k).
5*k*(k + 1)
Let t be (-572)/(-676) + ((-4)/(-26))/1. Let d = -7/9 + t. What is v in 0 + 0*v - d*v**2 + 2*v**3 + 32/9*v**5 - 16/3*v**4 = 0?
0, 1/4, 1
Let g(p) be the second derivative of -1/12*p**4 - 5/6*p**3 + 43*p - 3/2*p**2 + 1/20*p**5 + 0. Factor g(r).
(r - 3)*(r + 1)**2
Let f be 6 - 1/((-2)/(-4)). Let q be (8 + -2)*(-1 - -2). Determine c so that -c**3 + 2*c - q*c + c**4 + f*c = 0.
0, 1
Let r = 1580/9 + -3133/18. Find t, given that -3/2 + 3/2*t**3 - r*t + 3/2*t**2 = 0.
-1, 1
Determine m, given that -117/5 + 42/5*m - 1/5*m**2 = 0.
3, 39
Suppose -u + v - 2 = -5, -5*u - 2*v = -8. Factor -u*j**2 + 16/5*j + 8/5.
-2*(j - 2)*(5*j + 2)/5
Let r be (-966)/15 - (-5)/((-75)/(-6)). Let o = r - -69. Let o*k**2 + 1/4 - 9/4*k = 0. What is k?
1/5, 1/4
Let o(l) be the first derivative of -l**5/330 + 3*l**4/22 - 27*l**3/11 - 35*l**2/2 - 15. Let m(t) be the second derivative of o(t). Factor m(k).
-2*(k - 9)**2/11
Let s = 4 - -14. Let j = s - 13. Factor -n**j - 12*n**3 - 4*n**5 - n**4 + 9*n**4 - 32*n**2 + 9*n**5 - 16*n.
4*n*(n - 2)*(n + 1)**2*(n + 2)
Suppose 12*n - 14*n + 5*i = -9, -5*i = 2*n + 1. Let q(o) be the second derivative of -8*o + 0*o**n - 1/15*o**6 + 0 + 0*o**5 + 0*o**3 + 0*o**4. Factor q(r).
-2*r**4
Suppose 15 = 8*u - 17. Let -21*o**3 - 45*o**2 - 54*o + 19*o - 10 - 4*o**3 - 5*o**u = 0. What is o?
-2, -1
Let l(j) = -2*j**4 - j**3 - 9*j**2 + 5*j - 5. Let k = 98 - 95. Let q(h) = h**4 + 5*h**2 - 3*h + 3. Let g(f) = k*l(f) + 5*q(f). Factor g(b).
-b**2*(b + 1)*(b + 2)
Let u(c) = 3*c**2 - 422*c + 15987. Let s(f) = -6*f**2 + 848*f - 31974. Let y(a) = -4*s(a) - 7*u(a). Suppose y(j) = 0. Calculate j.
73
Let k = -43091/114 + 378. Let o(c) be the second derivative of 0 + 9*c + k*c**4 - 2/57*c**3 + 0*c**2. Determine v so that o(v) = 0.
0, 2
Let u be -2*8/(-21792)*(0 + 1). Let a = u - -43577/9534. Find l such that -88/7*l**2 - a*l - 4/7 - 36/7*l**4 - 96/7*l**3 = 0.
-1, -1/3
Solve 6 - 3 + y**3 + 7 + 9*y - 16*y - 4*y**2 = 0 for y.
-2, 1, 5
Let d(m) = -3*m**4 + 13*m**3 + 13*m**2. Let t(r) = -r**4 + r**3 + r**2. Let b(s) = -d(s) + 5*t(s). Let b(w) = 0. What is w?
-2, 0
Let i(h) = -h**3 + 17*h**2 - 18*h + 32. Let b = -189 - -205. Let u be i(b). Factor 0*a + 2/3*a**3 - a**4 + 0*a**2 + u.
-a**3*(3*a - 2)/3
Let s(z) = -z**3 + 5*z**2 - 3*z - 4. Let i be s(3). Suppose 10*v - 30*v**3 + 2*v**5 - 59*v**2 + 64*v**2 + i*v**4 + 8*v**5 = 0. Calculate v.
-2, -1/2, 0, 1
Suppose -4*o + 4 = 0, -4*n + 307 - 107 = -4*o. Let h(w) = 8*w**2 + w - 17. Let y(s) = -s**2 + 2. Let r(l) = n*y(l) + 6*h(l). Solve r(t) = 0 for t.
0, 2
Let a = -23 - -23. Let c(h) be the first derivative of 0*h**3 - 1/5*h**2 + 5 + a*h + 1/10*h**4. Factor c(k).
2*k*(k - 1)*(k + 1)/5
Let i be (72/132)/(5*2/55). Factor -3/7*h**2 - 1/7 + 3/7*h + 1/7*h**i.
(h - 1)**3/7
Let y(v) = -v**3 + 2*v**2 + 63*v + 2. Let l be y(-7). Let d(o) be the first derivative of -4 - 1/5*o**l - 1/15*o**3 + 0*o. Factor d(u).
-u*(u + 2)/5
Let f = 18056/7 + -2579. Factor 0 + 1/7*j**3 - f*j**2 + 2/7*j.
j*(j - 2)*(j - 1)/7
Find o, given that -8*o**2 + 80/7 + 48/7*o - 8*o**3 - 15/7*o**4 - 1/7*o**5 = 0.
-10, -2, 1
Let u(a) = -5*a + 38. Let z be u(-5). Let o be (-5)/4 + 1 + z/28. Find k, given that 0 - 1/3*k**o + 0*k = 0.
0
Let p = -21 + 23. Suppose -8*n**p + 2*n**3 - 16 + n**2 + 2*n**2 - 7*n**2 + 24*n = 0. What is n?
2
Let a(n) be the second derivative of -n**6/6 - n**5/4 + 35*n**4/12 + 65*n**3/6 + 15*n**2 - 110*n. Let a(j) = 0. What is j?
-2, -1, 3
Let t be 16/56 - (-2)/(-7). Let k be (-50)/20 - (t + -3). Let -a**5 + 0 + a**3 + 0*a + 1/2*a**2 - k*a**4 = 0. What is a?
-1, -1/2, 0, 1
Let t(i) be the first derivative of i**3 + 39*i**2 + 507*i + 44. Factor t(z).
3*(z + 13)**2
Let j(r) be the second derivative of -1/9*r**4 + 2/3*r**2 - r + 0*r**3 + 0. Solve j(z) = 0 for z.
-1, 1
Let f(g) be the first derivative of -g**6/30 - g**5/5 - 9*g**4/20 - 7*g**3/15 - g**2/5 + 126. Factor f(o).
-o*(o + 1)**3*(o + 2)/5
Let a(s) be the second derivative of s**6/75 + 129*s**5/50 + 64*s**4/15 + 359*s. Find c such that a(c) = 0.
-128, -1, 0
Let g(q) be the second derivative of 1/84*q**7 + 11*q + 1/4*q**3 - 1/10*q**5 + 0 - 1/2*q**2 + 0*q**6 + 1/12*q**4. Factor g(l).
(l - 1)**3*(l + 1)*(l + 2)/2
Let z(b) be the third derivative of 0*b**3 - 1/285*b**6 + 0 - 1/114*b**5 - 1/114*b**4 + 0*b - 1/1995*b**7 - 25*b**2. Factor z(p).
-2*p*(p + 1)**2*(p + 2)/19
Let b(p) be the third derivative of -p**11/2162160 + p**9/131040 - p**8/65520 - p**5/60 + p**2. Let l(q) be the third derivative of b(q). Factor l(d).
-2*d**2*(d - 1)**2*(d + 2)/13
Let d = -2 - -1. Let n(a) = -54*a**4 + 118*a**4 - 61*a**4 - 3*a + 3. Let v(t) = -t**5 + t - 1. Let l(j) = d*n(j) - 3*v(j). Suppose l(w) = 0. Calculate w.
0, 1
Let v(a) be the second derivative of -4*a - 5/2*a**3 + 0*a**2 - 3/40*a**5 + 6 - 11/8*a**4. Let v(b) = 0. What is b?
-10, -1, 0
Suppose 5*b = 4*w + 84, -4*w - 36 = -2*b - 3*w. Suppose 17*g = b*g. Factor g*d - d - 3*d - 4*d**2.
-4*d*(d + 1)
Let s(c) be the first derivative of -c**5/10 - 5*c**4/12 + 2*c**3/3 - 11*c**2 - 19. Let o(l) be the second derivative of s(l). Factor o(t).
-2*(t + 2)*(3*t - 1)
Let a(v) be the second derivative of -17*v - 3/2*v**2 + v**3 + 0 - 1/4*v**4. Factor a(p).
-3*(p - 1)**2
Let b = 987 - 27639/28. Let k = 131/84 - b. Solve -5/3*s - 10/3*s**3 - 1/3*s**5 + 1/3 + k*s**4 + 10/3*s**2 = 0.
1
Let p = 20318 + -20316. Suppose 4/5*y + 0 + 2/5*y**4 - 4/5*y**3 - 2/5*y**p = 0. What is y?
-1, 0, 1, 2
Let k(s) = -8*s**5 - 14*s**4 - 2*s**3 - 12*s**2 - 9*s. Let l(b) = b**5 + b**4 + b**3 + b**2 + b. Let n(v) = -2*k(v) - 18*l(v). Let n(w) = 0. Calculate w.
0, 1, 3
Suppose 45 - 267 = -111*y. Factor 5/3*d + 1/3*d**4 - 4/3 + d**y - 5/3*d**3.
(d - 4)*(d - 1)**2*(d + 1)/3
Let 86*b**2 - 99*b**2 - 5*b**2 - 326*b + 4*b**3 - 254*b**2 - 234*b = 0. Calculate b.
-2, 0, 70
Let s(b) = -b**3 - 2*b**2 - 2*b - 38. Let w be s(-4). Factor 0 + 9/5*d**4 - 3/5*d**w + 0*d + 6/5*d**3.
3*d**2*(d + 1)*(3*d - 1)/5
Suppose -3*m = 5*b + 82, -6*m + 3*m - 47 = -2*b. Let t = -15 - m. Find i such that -15*i**2 + 16 + t*i**3 + 7*i**2 + 4*i**2 - 8*i**2 = 0.
-1, 2
Let c(b) be the second derivative of 0 - 1/3*b**4 + 0*b**3 - 4*b - 1/30*b**6 - 1/5*b**5 + 0*b**2. What is w in c(w) = 0?
-2, 0
Let l(s) be the second derivative of 7/4*s**3 + 0 + 3/8*s**4 + 48*s + 3/2*s**2. Solve l(m) = 0 for m.
-2, -1/3
Suppose -23 = -4*b + 5*a, -558*b + 4*a + 16 = -556*b. Determine m, given that -8/3 + 0*m + 2/3*m**b = 0.
-2, 2
Let x(u) be the third derivative of -2*u**3 + 0 + 0*u + 1/15*u**5 - 14*u**2 - 1/3*u**4. Factor x(t).
4*(t - 3)*(t + 1)
Suppose -20 - 8 = -g - j, -144 = -5*g - j. Factor -4*p - 19 - 10*p**2 - p + 5*p**3 + g.
5*(p - 2)*(p - 1)*(p + 1)
Determine w so that -185/2*w - 80*w**2 - 30 - 35/2*w**3 = 0.
-3, -1, -4/7
Let k(c) be the third derivative of -c**8/1344 + c**7/420 + c**6/80 - c**5/60 - 13*c**4/96 - c**3/4 - 21*c**2 + 4. Factor k(y).
-(y - 3)*(y - 2)*(y + 1)**3/4
Let p(h) = -115*h**2 - 460*h - 75. Let c(f) = -57*f**2 - 230*f - 38. Let u = -10 + 8. Let o(q) = u*p(q) + 5*c(q). Factor o(s).
-5*(s + 4)*(11*s + 2)
Let z be 35/56 + 266/112. Let y(x) be the third derivative of 0*x**z + 1/36*x**5 + 0 - 5/36*x**4 - 3*x**2 + 0*x. Factor y(j).
5*j*(j - 2)/3
Let k(f) be the first derivative of 3 + 0*f**3 + 1/20*f**5 - f - 1/4*f**4 + 2*f**2. Let j(c) be the first derivative of k(c). Factor j(p).
(p - 2)**2*(p + 1)
Let p = -99583/10595 - 2/2119. Let v = 10 + p. Find j, given that v - 6/5*j + 3/5*j**2 = 0.
1
Let t = 20 - 28. Let z = -6 - t. What is g in 4*g**3 - 15*g + 3*g**z + 1 + 8 - g**3 = 0?
-3, 1
Let k = -30392 + 30394. Solve 5/3*w**4 + 2/3*w + 7/3*w**5 - 3*w**3 + 0 - 5/3*w**k = 0 for w.
-1, 0, 2/7, 1
Let c(w) be the second derivative of -w**7/7 - 47*w**6/10 - 3*w**5 + 35*w**4/2 + 11*w**3 - 69*w**2/2 - 372*w. Find j, given that c(j) = 0.
-23, -1, 1/2, 1
Let g(w) be the second derivative of 1/6*w**4 + 0*w**3 - 17*w - 4/3*w**2 - 1/30*w**5 + 0. Solve g(s) = 0 for s.
-1, 2
Find i such that 150*i**3 + 0 + 20*i + 31*i**5 - 35*i**4 - 78*i**2 + 0 - 51*i**5 - 37*i**2 = 0.
