12)**2/7
Let j be 6 + -13 + (92 - -2). Find u, given that 9*u + 15 + 45*u**4 - 18*u**4 - 31 - j*u**2 + 57*u**4 - 9*u**3 + 19 = 0.
-1, -1/7, 1/4, 1
Let u = -102 + 111. Suppose 0 = -4*w + 17 - u. Let 27*p**2 - 33*p + 6*p**3 - 9*p**w - 9*p**3 + 18 = 0. Calculate p.
1, 2, 3
Suppose 124950*f - 125145*f = -1170. Factor 40/7*c + f - 2/7*c**2.
-2*(c - 21)*(c + 1)/7
Determine y, given that 164*y**2 - 16/3 + 976/3*y = 0.
-2, 2/123
Let j(k) = -2*k**3 - 4*k**2 - 4*k. Let f be j(-2). Suppose -5*h + f*h = 39. Solve h*d**3 + 21*d**5 - 21*d**4 + 13*d**3 - 20*d**3 - 6*d**4 = 0 for d.
0, 2/7, 1
Suppose -3*c - 11*w + 8*w - 24 = 0, 20 = -2*w. Suppose 2/3*h**4 + 6*h**c + 22/3*h - 20/3 - 22/3*h**3 = 0. What is h?
-1, 1, 10
Suppose 23*h = 4*h + 1767. Find d such that -15 - 81*d**2 - 75*d - 49*d**3 + h - 2*d**4 + 5*d**4 + 124*d**3 = 0.
-26, -1, 1
Let n(k) be the third derivative of -k**7/350 - 3*k**6/50 - 7*k**5/20 - 3*k**4/5 - 13708*k**2. Let n(r) = 0. Calculate r.
-8, -3, -1, 0
Let t = -42 + 49. Let n = t - 7. Factor n*x**2 + 8*x**2 + x**5 - 6*x**4 - 7*x**5 + 8*x**5.
2*x**2*(x - 2)**2*(x + 1)
Let a(z) be the first derivative of -2*z**3/3 - 207*z**2 + 5439. Determine w so that a(w) = 0.
-207, 0
Let d(j) be the first derivative of -j**7/63 - j**6/15 + j**5/2 - 17*j**4/18 + 2*j**3/3 - 122*j + 246. Let i(u) be the first derivative of d(u). Factor i(k).
-2*k*(k - 1)**3*(k + 6)/3
Suppose 2260 + 1490 = 625*x. Let r(i) be the first derivative of -16/3*i + 7/6*i**4 - 4*i**3 + 20/3*i**2 - 2/15*i**5 + x. Factor r(w).
-2*(w - 2)**3*(w - 1)/3
Let y(l) be the first derivative of 3*l**5/70 + l**4/2 - 17*l**3/7 + 27*l**2/7 - 35*l + 49. Let w(i) be the first derivative of y(i). What is f in w(f) = 0?
-9, 1
Suppose 0 = -2*d - 12, 44*a - d = 39*a + 21. Factor -3/2*k**2 - 1/2*k**a + 9/2*k - 5/2.
-(k - 1)**2*(k + 5)/2
Factor -96*i - 131*i + 334*i + 4*i**2 + 345*i - 2360.
4*(i - 5)*(i + 118)
Let s = 8679/173740 + 2/43435. Let c(x) be the second derivative of 0 + 32*x - 3/10*x**2 - 1/30*x**3 + 1/100*x**5 + s*x**4. Solve c(o) = 0.
-3, -1, 1
Let t(y) be the first derivative of y**6/3 - 18*y**5/5 + 27*y**4/2 - 46*y**3/3 - 24*y**2 + 72*y - 959. Determine v, given that t(v) = 0.
-1, 2, 3
Let d = -167995/26 + 12923/2. Solve d*h**3 - 6/13*h + 0*h**2 + 4/13 = 0.
-2, 1
Suppose b = 3*f - 21, -2*f - 4*b + b = -3. Suppose -5*p = -89 - f. Solve 10*x - 3*x**2 - 3 + 0*x**2 - p*x - 3 = 0 for x.
-2, -1
Suppose 44*g - 2560 = 652. Suppose 10*h + g = 103. Determine u so that 0*u + 0 + 16/9*u**4 + 20/3*u**h - 16/9*u**2 = 0.
-4, 0, 1/4
Let b(a) be the third derivative of a**7/1260 - a**6/90 + a**5/20 + 39*a**4/8 + a**3/6 + a**2 - 22*a. Let p(d) be the second derivative of b(d). Factor p(o).
2*(o - 3)*(o - 1)
Suppose 171*r - 165*r - 24 = 0. Let k be 2774/1615 + r/(-34). Suppose 0*b**3 + 0*b + k*b**2 - 4/5*b**4 - 4/5 = 0. What is b?
-1, 1
Let 344538*j**2 + 156686*j**3 - 40935258*j**2 + 35*j**4 - 900*j**4 - 2176782336 + j**5 + 124114*j**3 + 2217093120*j = 0. Calculate j.
1, 216
Solve -61/6*j**2 + 11*j - 5/6 = 0 for j.
5/61, 1
Let i be 5*-10*(-14)/(-420)*(-12)/10. Suppose 11*y - 1/10*y**i - 605/2 = 0. What is y?
55
Suppose w = k - 1, 13*k - 7 = 10*k - w. Factor -3*g + 3042*g**2 - 3045*g**k - 3*g.
-3*g*(g + 2)
Let h be (((-14112)/816)/(-49))/((-12)/(-51)). Solve 0 + 57/2*j**4 + h*j**5 + 0*j**3 + 0*j**2 + 0*j = 0 for j.
-19, 0
Let t(k) be the first derivative of k**7/280 - k**6/10 + 11*k**5/40 - 22*k**3/3 + 15. Let h(m) be the third derivative of t(m). Factor h(x).
3*x*(x - 11)*(x - 1)
Let j(n) be the second derivative of 0 - 5*n + 1/140*n**5 + 65/14*n**3 + 169/14*n**2 + 9/28*n**4. Factor j(c).
(c + 1)*(c + 13)**2/7
Let a(o) = 72*o**2 + 32*o + 8. Let v(q) = -q. Suppose 0 = 2*n - 4 + 44. Suppose 17*c + 1 = 18*c. Let g(j) = c*a(j) + n*v(j). Suppose g(h) = 0. Calculate h.
-1/2, -2/9
Let c(w) be the first derivative of w**5 - 45*w**4/4 - 65*w**3/2 - 20*w**2 - 184*w + 103. Let r(k) be the first derivative of c(k). Factor r(b).
5*(b - 8)*(b + 1)*(4*b + 1)
Let t(k) be the third derivative of 1/84*k**6 + 1/1176*k**8 - 93*k**2 + 4/735*k**7 + 0*k**3 + 0*k + 0 + 0*k**4 + 1/105*k**5. Factor t(u).
2*u**2*(u + 1)**2*(u + 2)/7
Determine c, given that -10/3*c + 24*c**3 - 2/9*c**2 + 0 - 184/9*c**4 = 0.
-15/46, 0, 1/2, 1
Suppose 4*o = 2*y + 5*o + 1, 4 = 2*y - 4*o. Let x(u) be the third derivative of 6*u**2 + y*u + 0 - 1/6*u**3 - 1/120*u**5 - 1/16*u**4. What is p in x(p) = 0?
-2, -1
Let k(m) = -7*m + 10. Suppose 0 = 6*q + 31 - 37. Let p be k(q). Solve -736/15*n**2 + 56/3*n**5 - 32/15 + 152/15*n**p + 286/5*n**4 + 96/5*n = 0.
-2, 1/4, 2/7, 2/5
Find d such that 152/5*d**2 - 149/5*d - 1/5*d**3 - 302/5 = 0.
-1, 2, 151
Let u(t) = -5*t - 96. Let p be u(-25). Factor 30*s**4 - 3*s**3 - 39*s + 43*s - p*s**4.
s*(s - 2)**2*(s + 1)
Suppose -2*s = -3*j - 27, -1113*j + 4*s - 108 = -1125*j. Factor 0 + 6/5*t + 12/5*t**j + 3/5*t**4 + 3*t**2.
3*t*(t + 1)**2*(t + 2)/5
Let k(t) be the third derivative of 0*t - 22 - 47/36*t**4 + 2*t**3 + 1/18*t**5 - t**2. Let k(f) = 0. Calculate f.
2/5, 9
Let n(p) = -p**5 + p**3 - p**2 - 2. Let c(h) = -17*h**5 + 24*h**4 + 16*h**3 + h**2 - 2. Let r(x) = -c(x) + n(x). What is i in r(i) = 0?
-1/4, 0, 2
Let j(h) be the second derivative of -1/40*h**5 - 233 + 5*h**2 + 7/3*h**3 + 7/24*h**4 + h. Factor j(i).
-(i - 10)*(i + 1)*(i + 2)/2
Let z(d) = -d**2 - 12*d - 17. Let j be z(-2). Let w = -2642 + 18542/7. What is i in -3/7 - w*i**j - 27/7*i - 72/7*i**2 = 0?
-1, -1/4
Let a(m) be the second derivative of -5*m**7/56 + 23*m**6/40 + 9*m**5/80 - 59*m**4/16 - 5*m**3/4 + 9*m**2 + 2112*m. Let a(h) = 0. What is h?
-1, 3/5, 2, 4
Let o(k) be the first derivative of -1/2*k**6 + 57 - 12*k - 6*k**2 + 15/4*k**4 - 3/5*k**5 + 5*k**3. Solve o(z) = 0.
-2, -1, 1, 2
Let v(t) be the second derivative of t**7/147 - 19*t**6/105 + 8*t**5/35 + 6*t**4/7 - 3*t - 23. Find b, given that v(b) = 0.
-1, 0, 2, 18
Suppose 2*z + 178 = 398. Let i be 67/7 - z/22. Determine g, given that -2/7*g**3 - 16/7*g**2 - i*g + 0 = 0.
-4, 0
Let m(c) = -2*c**3 - 7*c**2 + 5*c + 7. Let i(y) = -5*y**3 - 15*y**2 + 10*y + 15. Let u be (0/(-4) - 4) + 9. Let l(d) = u*m(d) - 3*i(d). Factor l(k).
5*(k - 1)*(k + 1)*(k + 2)
Find i, given that -6*i**2 + 69/2*i - 45 = 0.
2, 15/4
Let c(p) = p**3 - 247*p**2 - p + 215. Let b(s) = 6*s**3 - 1728*s**2 - 6*s + 1512. Let a(z) = -4*b(z) + 27*c(z). Factor a(r).
3*(r - 1)*(r + 1)*(r + 81)
Let g be ((-18 - 6)/(-6))/(-6*(-12)/36). Factor 96*d - 32/3*d**3 + 92/3*d**g + 2/3*d**4 + 54.
2*(d - 9)**2*(d + 1)**2/3
Factor 33*x**3 - 258*x + 36*x**3 - 98*x**3 - 340 - 62*x + 34*x**3 - 65*x**2.
5*(x - 17)*(x + 2)**2
Let a = -4735 - -4741. Let r(c) be the second derivative of 0 - 3/10*c**2 - a*c - 1/30*c**3 + 1/30*c**4. Factor r(j).
(j + 1)*(2*j - 3)/5
Let u = 631/3777 - 1/2518. Let h(n) be the first derivative of -1/4*n**5 + 3/4*n + 1/24*n**6 - 26 + 3/8*n**4 + u*n**3 - 7/8*n**2. Factor h(q).
(q - 3)*(q - 1)**3*(q + 1)/4
Let s(c) = -68*c**3 + 321*c**2 + 958*c + 480. Let j(r) = 30*r**3 - 161*r**2 - 478*r - 240. Let u(o) = 7*j(o) + 3*s(o). Factor u(b).
2*(b - 30)*(b + 2)*(3*b + 2)
Let z(l) be the second derivative of 5/8*l**2 - 10*l + 1/4*l**3 + 2 + 1/48*l**4. Factor z(r).
(r + 1)*(r + 5)/4
Suppose 0 = -u + 3*w + 8, -u + 20 = 3*w + 36. Let h(s) = 18*s - 20*s**2 + 13 + 16*s - 2. Let x(g) = 7*g**2 - 11*g - 4. Let l(p) = u*h(p) - 11*x(p). Factor l(d).
3*d*(d - 5)
Suppose -6*o + 16 = -2*j - o, 2*o - 10 = -j. Let m(p) be the first derivative of -11*p**j + 25/4*p**3 - 9/16*p**4 + 6 + 7*p. Factor m(s).
-(s - 7)*(3*s - 2)**2/4
Suppose 444*h + 518*h = 2886. Determine l, given that 0*l**2 + 9/2*l - 3/2*l**3 + h = 0.
-1, 2
Let b(m) be the third derivative of 7*m**6/360 - 22*m**5/45 - 197*m**4/72 - 17*m**3/3 + 50*m**2 - 74*m. Find o, given that b(o) = 0.
-1, 102/7
What is d in 47*d**2 - 719 + 383 - 24*d**2 - 28*d**2 + 5035*d + 5376 = 0?
-1, 1008
Let v be 2/(-465)*((-567)/3)/(-7). Let f = 227/620 + v. Factor f*l**3 - 3/2*l + 0 - 5/4*l**2.
l*(l - 6)*(l + 1)/4
Let z(o) be the first derivative of -5*o**7/42 + o**6/2 + 3*o**5/2 - 10*o**4/3 - 112*o + 162. Let h(f) be the first derivative of z(f). What is m in h(m) = 0?
-2, 0, 1, 4
Let s(r) = -390*r**2 + 86*r + 20. Let v(l) be the first derivative of -18 - 26*l**3 + 4*l + 17/2*l**2. Let k(f) = -3*s(f) + 16*v(f). Let k(b) = 0. Calcul