*2 - 2/3 - 16/3*m**3 + 13/6*m**4 + 2*m**5 = 0.
-2, -1, 1/4, 2/3, 1
Suppose 17*x - 13*x - 256 = 0. Let y = 74 - x. Factor -y*g + 5*g**2 + 0*g - 10*g.
5*g*(g - 4)
Suppose -2*i + 6 = 2*t, -1315*t - 9 = -1319*t - i. Let p be -5*1/3*72/(-540). Determine b, given that 4/9 + p*b**t + 14/9*b**3 - 2/3*b**4 - 14/9*b = 0.
-1, 1/3, 1, 2
Let b(v) = 3*v**2 - 7*v + 4. Let c = 25 + -23. Let r(d) = -11 - 3*d**2 + 95*d - 5*d**c - 74*d. Let x(q) = 11*b(q) + 4*r(q). What is y in x(y) = 0?
-7, 0
Let r(u) be the third derivative of u**7/840 + u**6/40 + u**5/5 + 5*u**4/6 + 64*u**3/3 + 42*u**2. Let b(i) be the first derivative of r(i). Factor b(o).
(o + 2)**2*(o + 5)
Let g(w) = -145*w**3 + 445*w**2 + 2215*w + 2720. Let l(u) = 39*u**3 - 111*u**2 - 554*u - 680. Let t(i) = -4*g(i) - 15*l(i). Suppose t(o) = 0. What is o?
-17, -4, -2
Suppose 1/6*q**3 + 10 + 32/3*q + 19/6*q**2 = 0. Calculate q.
-15, -2
Suppose 142 = -2*j - 5*b + 363, 0 = j + b - 109. Determine i, given that -140*i**3 + j*i**2 + 32*i - 43*i**4 - 158*i**4 - 16 + i**4 = 0.
-1, -1/2, 2/5
Factor 57/5*z**4 - 22*z**3 + 111/5*z - 2/5*z**2 - 1/5*z**5 - 11.
-(z - 55)*(z - 1)**3*(z + 1)/5
Let h(v) be the first derivative of -144*v**5/5 - 228*v**4 - 1588*v**3/3 - 228*v**2 - 36*v + 1033. Factor h(t).
-4*(t + 3)**2*(6*t + 1)**2
Factor -4*g**2 - 60*g**2 - 112*g - 898 + 68*g**2 - 3502.
4*(g - 50)*(g + 22)
Let r(m) be the first derivative of -m**3 + 759*m**2 - 3024*m + 9943. Factor r(s).
-3*(s - 504)*(s - 2)
Let k(c) be the first derivative of 0*c**2 + 0*c - 1/22*c**4 + 65 - 76/33*c**3. Solve k(h) = 0.
-38, 0
Let z(a) be the second derivative of -a**6/195 - 11*a**5/130 + a**4/6 + 11*a**3/39 - 12*a**2/13 + 35*a + 29. Let z(d) = 0. What is d?
-12, -1, 1
Let x be ((-61785)/1125 - -56)*20. Let x - 104/5*b - 4/5*b**2 = 0. Calculate b.
-27, 1
Determine n, given that -24840 - 6/5*n**4 - 390*n**3 + 6/5*n**5 - 17136*n - 21018/5*n**2 = 0.
-6, -5, 23
Let a be 84/24 - (-1)/(-2). Let b = 1/386 - -3469/1930. Suppose -3/5*q**4 + 9/5*q**a - 3/5*q**2 + 6/5 - b*q = 0. Calculate q.
-1, 1, 2
Find w such that -656*w - 2502 - 903 + 5*w**2 - 520 - 104*w = 0.
-5, 157
Suppose 5 = 5*j, -3*i - 3*j + 8 = -4*i. Let f(b) = -22*b**2 + 30*b - 52. Let p(q) = -7*q**2 + 10*q - 17. Let g(v) = i*f(v) + 16*p(v). Factor g(y).
-2*(y - 3)*(y - 2)
Let -3/8*u**5 + 135 + 189/4*u - 375/8*u**3 - 1155/8*u**2 + 75/8*u**4 = 0. What is u?
-2, -1, 1, 12, 15
Let x = -6968003/5 + 1393601. Factor 14/5*o - 8/5*o**2 - x*o**3 + 4.
-2*(o - 2)*(o + 1)*(o + 5)/5
Let a be ((-3)/(-132))/((-776)/(-34144)). Factor -1/4*b**2 + b - 1/4*b**3 + a.
-(b - 2)*(b + 1)*(b + 2)/4
Let r(y) be the first derivative of 8*y**6/3 + 64*y**5/5 + 63*y**4/4 - 4*y**3/3 - 2*y**2 + 957. Determine j so that r(j) = 0.
-2, -1/4, 0, 1/4
Suppose 49*m = 62*m - 182. Suppose -m*a = 16*a. Factor 2/5*l**2 + 0*l**3 + 0 - 2/5*l**4 + a*l.
-2*l**2*(l - 1)*(l + 1)/5
Factor -242 - 246 - 91*p**2 + 17*p**4 - 11*p**3 - 81*p + 470.
(p - 3)*(p + 1)**2*(17*p + 6)
Let h(j) be the second derivative of j**6/75 + 7*j**5/50 - 17*j**4/15 - 8*j**3/3 + 85*j - 5. Factor h(y).
2*y*(y - 4)*(y + 1)*(y + 10)/5
Let l(v) be the second derivative of v**7/504 - 3*v**5/8 + 31*v**4/12 + v**2 + 104*v. Let f(s) be the third derivative of l(s). Factor f(u).
5*(u - 3)*(u + 3)
Let w = -102932 + 514666/5. Find q, given that -4*q + w + 14/5*q**2 = 0.
3/7, 1
Let t(m) = -4*m**4 - 30*m**3 + 28*m**2 + 48*m - 78. Let a(o) = -12*o**4 - 87*o**3 + 84*o**2 + 146*o - 233. Let l(p) = -6*a(p) + 17*t(p). Solve l(g) = 0 for g.
-3, 1, 2
Let c(v) be the third derivative of 0 - v**2 - 1/390*v**5 + 0*v**3 + 15*v + 5/156*v**4. Let c(q) = 0. Calculate q.
0, 5
Let t = -31 - -69. What is z in -2*z**2 - 12*z**2 - 33*z**3 - 9*z**4 + 2*z**5 + t - 38 = 0?
-2, -1/2, 0, 7
Let y = 153 - 177. Let g be y/(-84) + 48/(-315). Determine h so that 2/5*h**2 - 4/15*h - g*h**3 + 0 = 0.
0, 1, 2
Suppose 416*k = 414*k + 8. Let 33*i + 9 + 18*i**3 - 37*i**2 - 3*i**k + 60*i**5 + 79*i**2 - 63*i**5 = 0. What is i?
-1, 3
Suppose -1012 = -4*j + 3*t, -2*t - 377 + 1369 = 4*j. Find w, given that 5*w**4 + 109*w**2 - j*w - 60*w**3 + 0*w**4 + 116*w**2 = 0.
0, 2, 5
Let a = 438467/28 - 63905/4. Let k = 317 + a. Solve -2/7*w**5 + 2/7*w**4 + k*w**3 - 2/7*w**2 + 0*w + 0 = 0 for w.
-1, 0, 1
Let f = -3816/25 + 72604/475. Factor f + 14/19*h + 2/19*h**4 + 10/19*h**3 + 18/19*h**2.
2*(h + 1)**3*(h + 2)/19
Let v be (105 + -113)*(-10)/(-20)*-1. Suppose 7/3 + 49/3*c**2 + 16*c + 16/3*c**v - 40*c**3 = 0. What is c?
-1/4, 1, 7
Let v be -2*(4/(-2) - -1). Suppose -2*d - 1 - 1 = 0, -5*f + 5*d + 15 = 0. Solve c**4 - 1 + 3*c**v - 5*c**f + 2 = 0.
-1, 1
Let h(p) = -2*p - 2. Let d(l) = -l - 1. Let s(t) = -3*d(t) + h(t). Let v be s(3). Suppose -2*k**3 - k**v + k**5 + 4*k**3 + k**5 - 3*k**4 = 0. Calculate k.
0, 1
Solve 50 - 20 - 61*r + 903*r**2 - 11*r**3 + 925*r**2 - 1787*r**2 + r**4 = 0 for r.
1, 2, 3, 5
Let x = 54 + -51. Suppose -u**x - 3*u**2 - 9*u**2 + 2*u**2 - 16*u + 20*u**2 = 0. What is u?
0, 2, 8
Let r(s) be the third derivative of s**6/60 - 2*s**5/5 - 9*s**4/4 - 14*s**3/3 + 860*s**2. Suppose r(q) = 0. Calculate q.
-1, 14
Let t(u) be the second derivative of -u**9/15120 + u**8/840 - u**7/360 - 77*u**4/6 - u + 28. Let k(m) be the third derivative of t(m). Factor k(r).
-r**2*(r - 7)*(r - 1)
Let z be 9504/3564*(-9)/(-12). Suppose 3/7*s**4 + 96/7 - 15/7*s**3 - 18/7*s**z + 96/7*s = 0. Calculate s.
-2, -1, 4
Let j(v) = 2*v**2. Let t(b) = -b**3 + 1312*b**2 - 2629*b + 1314. Let i(u) = 2*j(u) + t(u). Factor i(k).
-(k - 1314)*(k - 1)**2
Suppose 0 = 2*l - 4*l - 5*t + 16, -5*t - 62 = -4*l. Suppose 2*n - l = -3*g, 0 = -n + 4*g - 0*g - 10. Factor -5*x + 2*x**2 - 2*x**2 + 2*x - x**n.
-x*(x + 3)
Let n(l) be the second derivative of -l**7/42 + 11*l**6/60 + 27*l**5/20 - 61*l**4/6 + 19*l**3/3 + 105*l**2/4 + 18*l + 112. Find b, given that n(b) = 0.
-5, -1/2, 1, 3, 7
Let q be 3*8/12 + 3. Suppose a + 101 = -z + q*z, -5*z = 4*a - 100. Solve -z*u**2 + 36*u**3 + 4*u - 17*u**4 - 5*u**4 + 6*u**4 = 0.
0, 1/4, 1
Let t(r) = -r**3 - 11*r**2 + 13*r + 14. Let s be t(-12). Factor 58*z**s + 27*z**2 - 33*z**3 + 27*z**3 + 6 + 7*z - 120*z**2.
-(z + 6)*(2*z - 1)*(3*z + 1)
Suppose -5*m = -4*l - 54, -114 = -4*m + 3*l - 73. Solve -24/7*y**3 + 25/7*y - 2*y**4 - 1/7*y**5 + 12/7 + 2/7*y**m = 0 for y.
-12, -1, 1
Suppose 5*d + 27 = 22. Let y be -2*(d/2 + -1). Factor y - 23*k**2 + 15*k + 14*k**3 + k - 7 - 3*k**4.
-(k - 2)*(k - 1)**2*(3*k - 2)
Let n(o) = -2*o**2 + 2*o. Let a(q) = -6*q**2 + 4*q. Let s(f) = -f**3 + 7*f**2 - 2*f - 26. Let x be s(6). Let y(m) = x*a(m) + 4*n(m). Find j such that y(j) = 0.
0
Let y(s) be the third derivative of 0*s**5 + 2/85*s**6 - 172*s**2 + 0*s**3 - 1/408*s**8 - 82/1785*s**7 + 0*s**4 + 0*s + 0. Factor y(l).
-2*l**3*(l + 12)*(7*l - 2)/17
Let o(a) be the second derivative of 132*a - 1/2*a**3 + 0 + 3/4*a**4 + 3/20*a**5 - 3*a**2 - 1/10*a**6. Let o(p) = 0. What is p?
-1, 1, 2
Factor 200/3 - 596/3*w - 4*w**2.
-4*(w + 50)*(3*w - 1)/3
Let k be ((-6)/8)/(2484/(-17664)). Let -2/3*z**2 + k + 4/3*z = 0. What is z?
-2, 4
Let k(i) = -13 + 17*i**2 + 12 - 16*i**2. Let y(s) = -2*s**2 + 72*s + 652. Let n(t) = -4*k(t) - y(t). Factor n(j).
-2*(j + 18)**2
Let j(u) be the second derivative of 22*u**2 + 20/3*u**3 - 22 + 2*u - 1/3*u**4. Factor j(i).
-4*(i - 11)*(i + 1)
Let i(k) = 14*k**4 + 13*k**3 - 9*k**2 - 6*k. Let b(g) = -g**5 + 14*g**4 + 13*g**3 - 10*g**2 - 8*g. Let l(o) = 6*b(o) - 8*i(o). Suppose l(x) = 0. Calculate x.
-3, -2, 0, 1/3
Let y = 15320 + -15316. Let p(d) be the first derivative of 3/2*d**y + 2/5*d**5 - 34 + d**2 + 2*d**3 + 0*d. Find h such that p(h) = 0.
-1, 0
Let j(m) be the first derivative of 21*m**4/32 - 53*m**3/12 - 30*m**2 - 16*m + 703. Factor j(c).
(c - 8)*(3*c + 8)*(7*c + 2)/8
Let x(w) be the third derivative of 0*w - 27/2*w**4 - 2/105*w**7 + 17/30*w**6 + 0*w**3 + 0 - 197*w**2 - 21/5*w**5. Factor x(t).
-4*t*(t - 9)**2*(t + 1)
Let b be (-244)/(-32) + -8 + (-437)/(-184). Factor -7/10*y**4 - 11/10*y**b - 8/5*y**3 - 1/5*y + 0.
-y*(y + 1)**2*(7*y + 2)/10
Let z = -993952 + 993952. Find p, given that z*p**2 - 9/5*p**3 - 1/5*p**5 + 0 + 6/5*p**4 + 0*p = 0.
0, 3
Suppose -925*s + 255 = -920*s. Suppose -s = 18*w - 87. Factor 0*q - 1/2*q**w + 1/2.
-(q - 1)*(q + 1)/2
Let g(p) = -p**2 + 14*p + 34. Let w be g(16). Suppose -23 + 29 = 2*s. Factor -26*v - 26 + 