)/2
Suppose 147*y**4 + 1053*y**2 - 680*y**3 - 507*y - 266*y**3 + 253*y**3 = 0. Calculate y.
0, 1, 13/7
Let n(o) be the first derivative of 3/13*o**4 + 2/39*o**3 + 32/13*o + 37 - 24/13*o**2 + 2/65*o**5. Determine y, given that n(y) = 0.
-4, 1
Let j(p) be the second derivative of p**5/170 - 5*p**4/51 + 28*p**3/51 - 24*p**2/17 + 92*p. Solve j(i) = 0 for i.
2, 6
Factor 3*y**3 - 26*y**2 + 34*y**2 + 16*y**2.
3*y**2*(y + 8)
Let s = 38 - 35. Suppose 6*l**2 - 44*l**3 + 41*l**s - 5*l**4 + 2*l**4 = 0. What is l?
-2, 0, 1
Let t be ((-14)/(-4))/((-2415)/(-2760)). Factor -3/2*p**t + 0 - 9/2*p**2 - 3/2*p - 9/2*p**3.
-3*p*(p + 1)**3/2
Let f(w) = 2*w. Let q be f(1). Suppose q*p = 8 - 2. Let p*r + 6*r**2 + r - 2*r = 0. What is r?
-1/3, 0
Let u = -12074 - -12076. Factor 1/3*c**2 + 5/3*c + u.
(c + 2)*(c + 3)/3
Suppose 0 = -5*f - 84 - 76. Let i = -30 - f. Factor -56*p - 4*p**2 + 36*p + 16*p**4 + 4*p**5 - 8 - 4*p**i + 16*p**3.
4*(p - 1)*(p + 1)**3*(p + 2)
Let u(f) = 65*f**2 - 40*f. Let p(l) = 12*l**2 - 8*l. Let r(o) = 11*p(o) - 2*u(o). Suppose r(n) = 0. What is n?
0, 4
Let y = 2/715 + 2141/1430. Factor 9/4*w**4 + 0 - 2*w - y*w**3 - 5*w**2.
w*(w - 2)*(3*w + 2)**2/4
Let l(v) be the first derivative of 2*v**6/3 - 52*v**5/5 + 64*v**4 - 608*v**3/3 + 352*v**2 - 320*v + 41. Find k, given that l(k) = 0.
2, 5
Suppose 69*m**2 - 21*m**4 + 24*m + 21 - 69 - 10*m**3 + m**3 - 11*m**3 - 3*m**5 - m**3 = 0. Calculate m.
-4, -1, 1
Suppose -2*z = -6 + 2. Factor 13*f - 53*f - 3*f**z - 4*f**2 - f**2 - 50.
-2*(2*f + 5)**2
Let p = -28221/2 + 14111. Suppose -p*h**3 + 1/2*h + 1 - h**2 = 0. What is h?
-2, -1, 1
Let h = -1131 + 95005/84. Let x(t) be the third derivative of -h*t**8 + 1/3*t**4 + 0 + 1/10*t**6 - 1/3*t**5 + 2/105*t**7 + 0*t + 3*t**2 + 0*t**3. Factor x(m).
-4*m*(m - 1)**3*(m + 2)
Let h(v) be the third derivative of v**7/8820 + v**6/1260 + v**5/420 - v**4/12 + 23*v**2. Let x(m) be the second derivative of h(m). Solve x(u) = 0 for u.
-1
Let i(l) = -l**3 + 19*l**2 - 50*l + 8. Let x be i(3). Factor 2 - 23/3*r + 7/3*r**x.
(r - 3)*(7*r - 2)/3
Let m(r) = -4*r**4 - 3*r**3 - 2*r**2 + 6*r. Let x(y) = 3*y**4 + 4*y**3 + 3*y**2 - 4*y. Let z(u) = 4*m(u) + 6*x(u). What is a in z(a) = 0?
-5, -1, 0
Let n(a) be the second derivative of -a**4/6 + 11*a**3/3 + 12*a**2 - 157*a. Factor n(m).
-2*(m - 12)*(m + 1)
Let t = -35143/45 - -781. Let n(v) be the first derivative of -7 + t*v**5 + 2/3*v**3 + 7/9*v**2 + 4/9*v + 5/18*v**4. Solve n(h) = 0 for h.
-2, -1
Let q(m) = m - 1. Let j be q(3). Suppose 13*h**2 - 10*h**2 + 4 - 7*h**2 + 0*h**j = 0. Calculate h.
-1, 1
Factor -4/11*i**4 + 0*i - 2/11*i**3 + 0 - 2/11*i**5 + 0*i**2.
-2*i**3*(i + 1)**2/11
What is o in 11/4*o**2 + 1 + 3*o - 3/4*o**4 + 1/4*o**3 - 1/4*o**5 = 0?
-2, -1, 2
Let n(d) = d**2 - 2. Let a(p) = -15*p**2 - 120*p - 95. Let q(v) = a(v) + 10*n(v). Factor q(l).
-5*(l + 1)*(l + 23)
Factor -266/5*x - 1/5*x**2 - 17689/5.
-(x + 133)**2/5
Let t(w) = 6*w**3 + 11*w**2 + 6*w + 1. Let a(r) = 5*r**2 - 1. Let g be a(-1). Let h = -3 + g. Let m(y) = y**3 + y**2. Let z(q) = h*t(q) - 2*m(q). Factor z(s).
(s + 1)**2*(4*s + 1)
Let i(x) be the second derivative of 0 + 10/3*x**3 + 11*x**2 - 1/6*x**4 + 19*x. Factor i(y).
-2*(y - 11)*(y + 1)
Find r such that -2853*r + 0*r**5 + 2*r**2 + 2852*r + r**5 - 2*r**4 = 0.
-1, 0, 1
Let x be (-32)/(-66)*21 - (-6)/(-33). Suppose x*m = 9*m + 2. What is s in -4/5*s + 0 + 4/5*s**m - 1/5*s**3 = 0?
0, 2
Let o = 3944 + -19717/5. Determine w, given that -15*w**3 + 0 - 6*w**2 - o*w = 0.
-1/5, 0
Suppose -3*h - 4*d + 20 = 0, -5*d = -4*h - 15 - 10. Solve 0*z**4 - 3/2*z**2 + h*z + 3/4*z**5 - 9/4*z**3 + 0 = 0.
-1, 0, 2
Let f = 729/5 - 143. Factor -2/5*c**5 + 10*c**2 - 32/5*c - 38/5*c**3 + f*c**4 + 8/5.
-2*(c - 2)**2*(c - 1)**3/5
Let x(k) be the first derivative of 0*k**2 - 1/9*k**3 - 4*k - 1/18*k**4 - 7. Let a(n) be the first derivative of x(n). Factor a(c).
-2*c*(c + 1)/3
Let t(p) = 2*p**2 - 20*p - 24. Let q(s) = -s. Let n(c) = 2*q(c) + t(c). Factor n(g).
2*(g - 12)*(g + 1)
Find x such that -1/4*x**3 + 1/4*x**5 + 0 + 0*x - 1/2*x**2 + 1/2*x**4 = 0.
-2, -1, 0, 1
Let t(q) be the third derivative of -1/540*q**6 + 1/36*q**4 - 4*q**2 + 2/3*q**3 + 0 - 2/135*q**5 + 0*q. Find d, given that t(d) = 0.
-3, 2
Let k be (-15)/(-18)*-92 + -2. Let m = -78 - k. Factor -10/3*d**2 + 4/3*d + 8/3*d**3 - m*d**4 + 0.
-2*d*(d - 2)*(d - 1)**2/3
Let v be (-1072)/(-36) - (-8)/(-1) - (-1 + -5). Factor v + 10/3*b**2 - 50/3*b - 2/9*b**3.
-2*(b - 5)**3/9
Let o(d) be the first derivative of -d**4/10 + 46*d**3/15 - 24*d**2 - 288*d/5 - 120. Solve o(z) = 0.
-1, 12
Let k be -9 - (-24)/(-20)*-10. Let m(v) be the first derivative of -3/10*v**2 + 6/5*v**k - 8 - 3/5*v. Solve m(f) = 0 for f.
-1/3, 1/2
Let c(b) be the third derivative of b**8/80 + 17*b**7/175 + 23*b**6/200 - b**5/25 - 53*b**2. Suppose c(y) = 0. What is y?
-4, -1, 0, 1/7
Let m be -9*10/(-252)*4/5. Factor 2/7*w**2 - 2/7*w**3 - m + 2/7*w.
-2*(w - 1)**2*(w + 1)/7
Let y(g) = -13*g**3 - 145*g**2 + 4. Let t(a) = 11*a**3 + 145*a**2 - 3. Let l(i) = -4*t(i) - 3*y(i). Let l(c) = 0. What is c?
-29, 0
Let w = -34 - -36. Suppose 0 = -3*m + c + 76, m - 3*m = 4*c - 74. Factor -d - 4*d**3 - m + 17*d**2 - 2*d**w - 8*d + d**3.
-3*(d - 3)**2*(d + 1)
Let p(j) be the first derivative of -j**8/840 + j**7/140 - j**5/15 - 4*j**3/3 + 25. Let n(f) be the third derivative of p(f). Factor n(x).
-2*x*(x - 2)**2*(x + 1)
Let y(g) = 2*g**2 - 5. Let w(v) = -v**3 + v**2 + v + 6. Let z be w(0). Let p(x) = 13 - 4 - z*x**2 + 2*x**2. Let u(f) = -3*p(f) - 5*y(f). Solve u(k) = 0 for k.
-1, 1
Let c(d) be the third derivative of d**7/630 + d**6/90 - d**5/10 + 5*d**4/6 + 13*d**2. Let p(a) be the second derivative of c(a). Solve p(q) = 0 for q.
-3, 1
Suppose 8*u + 0*u = 32. Factor -7*k - 2 - 2*k**2 + u + k**2 + 6*k.
-(k - 1)*(k + 2)
Let l(k) be the first derivative of -2*k**3/9 - 88*k**2 - 11616*k - 18. Factor l(h).
-2*(h + 132)**2/3
Find v such that 0 - 23/5*v**4 + 0*v - 48/5*v**3 - 4/5*v**2 = 0.
-2, -2/23, 0
Let v(y) = 26*y + 1. Suppose 8 = 5*f - f. Let x be v(f). Determine k so that -23*k - 12 - x*k - 69*k**2 - 42*k**3 - 9*k**4 + 28*k = 0.
-2, -1, -2/3
Factor -r + 2*r + 33*r + 2*r**2 + 17 + 15.
2*(r + 1)*(r + 16)
Let d(w) = -w**3 - 27*w**2 - 106*w - 92. Let t(j) = -j**2 + j - 4. Let m(y) = d(y) + 2*t(y). Factor m(n).
-(n + 2)**2*(n + 25)
Let a(l) = 3*l**2 + l + l**4 - 3*l**2 - 1 + 0. Let n = 78 + -74. Let w(g) = 6*g**4 - 5*g**3 - 9*g**2 - 9. Let x(h) = n*w(h) - 28*a(h). Factor x(p).
-4*(p + 1)**3*(p + 2)
Let i be (21/(-42))/((-1)/10). Suppose -4*r + 5*s + 47 = 0, 4*r = -i*s + 76 + 21. Factor -80/13*j**2 + r*j**3 + 8/13*j - 162/13*j**4 + 0.
-2*j*(j - 1)*(9*j - 2)**2/13
Let i(w) be the first derivative of 16 + 2*w + 7/15*w**3 + 37/10*w**2. Solve i(x) = 0.
-5, -2/7
Solve -b**2 - 10*b - 2*b**2 + 4*b**2 + b**3 + b**2 - 3*b**2 - 8 = 0 for b.
-2, -1, 4
Let h(w) be the third derivative of 0*w + 1/60*w**6 + 0*w**3 - 2/15*w**5 + 1/4*w**4 - 9*w**2 + 0. Factor h(r).
2*r*(r - 3)*(r - 1)
Suppose -3*b**3 + 156/5*b - 9/5*b**4 + 66/5*b**2 + 72/5 = 0. Calculate b.
-2, -2/3, 3
Let k(u) be the first derivative of -5*u**6/6 + 2*u**5 + 15*u**4/4 - 20*u**3/3 - 10*u**2 - 46. Factor k(i).
-5*i*(i - 2)**2*(i + 1)**2
Determine h, given that 1370*h - 114*h - 845 + 140*h**3 - 5*h**4 - 232*h - 1110*h**2 + 796*h = 0.
1, 13
Suppose v - 5*s = -17 - 5, 19 = -2*v + 5*s. Let b(k) be the second derivative of 0*k**2 - 1/30*k**5 + 0 - 1/9*k**4 - 1/9*k**v - 2*k. Find p such that b(p) = 0.
-1, 0
Solve -14 - 10 + 3 + 335*r + 107 + 220*r**2 - 16 = 0 for r.
-14/11, -1/4
Let j(k) be the second derivative of -k**5/130 - 11*k**4/78 + 14*k**3/39 + 24*k**2/13 + 72*k - 6. Factor j(h).
-2*(h - 2)*(h + 1)*(h + 12)/13
Let n(q) = 6*q**3 - 20*q**2 - 7*q + 79. Let j(c) = -c**3 + c**2 + 3*c + 1. Let t(w) = 5*j(w) + n(w). Suppose t(m) = 0. Calculate m.
-2, 3, 14
Let k be 106/210 - (435/(-35) + 12). Let z(q) be the first derivative of -k*q**3 - 16/5*q**2 - 8/5*q + 11. Suppose z(c) = 0. What is c?
-2, -2/7
Let m(s) be the first derivative of -s**3/4 - 129*s**2/4 - 272. Factor m(k).
-3*k*(k + 86)/4
Let -105*b**4 - 108*b - 385*b**2 - 12*b - 404*b**3 + 192*b**2 - 427*b**2 - 326*b**3 = 0. What is b?
-6, -2/3, -2/7, 0
Suppose -3*s = v - 78, -2*v + s - 80 = -3*v. Factor 8*o + 3*o**2 - 84*o**3 + v*o**3 - 2*o.
-3*o*(o - 2)*(