d k, given that -54/7*k**4 + 0*k + 0*k**2 + p - 243/7*k**3 - 3/7*k**5 = 0.
-9, 0
Suppose -26124*l + 26181*l = 114. Let 2/13*j**l - 20/13*j - 22/13 = 0. What is j?
-1, 11
Let q = -101855/2 + 50933. Factor -245/2*t - q*t**3 + 343/4 + 1/4*t**4 + 42*t**2.
(t - 7)**3*(t - 1)/4
Let u(m) = 2*m + 8 + 1 - 7. Let r(h) = 25*h**2 + 108*h - 37. Let b(x) = r(x) + 6*u(x). Factor b(z).
5*(z + 5)*(5*z - 1)
Find r such that -1082*r**3 - 927*r**2 - 1522*r**2 + 1078*r**3 - 511*r**2 = 0.
-740, 0
Suppose 0*k - 114 = -3*k. Let w = -16 + k. Factor -17*f**2 + 48*f**2 - w*f**2 + 6 + 21*f.
3*(f + 2)*(3*f + 1)
Let x(i) = i**3 + 8*i**2 - 23*i - 23. Let w be x(-10). Let d be (3*1)/(-81*w/(-42)). Factor -4/3*v + d*v**2 + 0.
2*v*(v - 6)/9
Let r(f) be the first derivative of 1/2*f**2 + 6 + 1/3*f**3 - f - 1/4*f**4. Factor r(c).
-(c - 1)**2*(c + 1)
Suppose -4*g = -5*h + 628, 4*h - g - 611 = -113. Factor -v**5 - h*v**2 + 2*v**4 - 118*v**2 + 6*v**5 - 5*v**3 + 240*v**2.
v**2*(v - 1)*(v + 1)*(5*v + 2)
Suppose 6*p = 10*p + 64. Let r be (p/(-7))/(-8 - -10). Find z such that 4/7 - r*z**2 - 2/7*z + 4/7*z**4 - 2/7*z**5 + 4/7*z**3 = 0.
-1, 1, 2
Let h(t) be the second derivative of -2*t**6/105 - 61*t**5/35 + t**4/3 + 866*t**3/21 + 732*t**2/7 + 15*t + 31. Find i, given that h(i) = 0.
-61, -2, -1, 3
Let k be 4/(-8)*(-1*(-4)/3 + -4). Let g(q) be the first derivative of -16*q - 5 + 0*q**2 + k*q**3. Solve g(f) = 0.
-2, 2
Suppose -71*w + 144*w + 111*w = 552. Factor -12*g**w - 44/3*g**2 + 0 - 8/3*g.
-4*g*(g + 1)*(9*g + 2)/3
Let j be ((-25)/5 - -3) + (-8)/(-2). Suppose 0 = 4*h + 5*p - 17, -3*h - j*p = -13 + 2. Factor -11*l**5 - 2*l**4 + 13*l**5 + 3*l**3 - h*l**3.
2*l**4*(l - 1)
Let g(k) be the first derivative of -4/3*k**3 - 38 + 8*k**2 - 12*k. Factor g(h).
-4*(h - 3)*(h - 1)
Let c(h) be the first derivative of -5*h**3/3 - 1645*h**2 - 541205*h + 954. Factor c(g).
-5*(g + 329)**2
Let j(r) = 210*r**2 + 972*r - 80. Let x(s) = -s**2 + 36. Let i(y) = j(y) + 3*x(y). Let i(n) = 0. Calculate n.
-14/3, -2/69
Suppose 0 = 5*p - 5*r - 155, -4*p + 179 - 63 = 4*r. Let j be (-8)/20*p/(-48). Factor -3/2*h**2 + j - 1/4*h.
-(2*h + 1)*(3*h - 1)/4
Let r = 317153/171 + -35235/19. Factor 0*a - 4/3*a**3 - r*a**4 + 0 - 2*a**2.
-2*a**2*(a + 3)**2/9
Let q = -2960758/11 - -269162. Factor 16/11*f - 10/11*f**2 - 2/11*f**3 + q.
-2*(f - 2)*(f + 1)*(f + 6)/11
Let p(w) be the first derivative of 2104/21*w**3 + 252*w + 264*w**2 + 44/7*w**4 + 4/35*w**5 + 105. Suppose p(m) = 0. What is m?
-21, -1
Let v(z) be the second derivative of -z**7/315 - 161*z**6/225 - 1092*z**5/25 - 2554*z**4/45 + 10624*z**3/9 + 5120*z**2 + 6*z + 123. Let v(t) = 0. What is t?
-80, -2, 3
Let n = 1697315 - 1697313. Let 32/5*t**n + 1/5*t - 1/5*t**3 - 32/5 = 0. What is t?
-1, 1, 32
Let a(g) be the third derivative of -1/630*g**7 - 1/45*g**6 + 0*g**3 - 11/36*g**4 + 8*g**2 + 31/180*g**5 + 7 + 0*g. Factor a(n).
-n*(n - 2)*(n - 1)*(n + 11)/3
Factor 95*u**2 + 60*u - 48*u**2 + 33*u**2 + 195*u + 5*u**3 + 180.
5*(u + 1)*(u + 3)*(u + 12)
Let p(v) be the second derivative of -5/3*v**4 + 0*v**2 + 5/42*v**7 + 12*v - 3/4*v**5 + 1/3*v**6 + 10/3*v**3 + 0. Determine c so that p(c) = 0.
-2, 0, 1
Let s(w) be the third derivative of 0 + 7/40*w**7 + 0*w - 19/10*w**5 - 3/2*w**4 - 91/160*w**6 + 0*w**3 + 84*w**2. Factor s(r).
3*r*(r - 3)*(7*r + 4)**2/4
Let v(z) be the third derivative of z**5/160 + 11*z**4/64 - 3*z**3/4 - 17*z**2 + 11. Factor v(s).
3*(s - 1)*(s + 12)/8
Factor 0 + 2/9*j**4 - 4/3*j**2 - 10/9*j**3 + 0*j.
2*j**2*(j - 6)*(j + 1)/9
Let t be (84/(-168))/((-11)/11). Solve 5/4*m**3 + 1/4*m + 2*m**2 - t = 0.
-1, 2/5
Let o(c) be the first derivative of -c**5/5 + c**4/4 + 62. Let u(n) = 28*n**5 - 30*n**4 + 2*n**3. Let x(l) = -6*o(l) - u(l). Factor x(f).
-4*f**3*(f - 1)*(7*f - 2)
Suppose -129*d**3 + 3129*d**5 + 72*d + 3086*d**5 + 99*d**4 - 6158*d**5 + 20 - 183*d**2 + 64 = 0. What is d?
-2, -1, -14/19, 1
Let i be (-4674)/(-19) + (-2 - -7). Suppose 111*j - 5*j**2 - 12500 - 263*j - 38*j - 59*j - i*j = 0. Calculate j.
-50
Determine z so that 24551 + 38*z**3 - 23*z**3 - 12*z**3 + 276*z**2 + 6864*z - 1137 - 182 = 0.
-44, -4
Let d(k) be the third derivative of 225*k**2 - 1/120*k**6 + 0 + 0*k - 2*k**4 - 13/60*k**5 - 6*k**3. Let d(m) = 0. Calculate m.
-6, -1
Let z(i) be the second derivative of -24/7*i**2 - 25/21*i**4 + 68/21*i**3 + 60*i + 11/70*i**5 + 0. Factor z(c).
2*(c - 2)**2*(11*c - 6)/7
Suppose 18 = -4*g + 142. Suppose 44*v = g*v + 39. Find l such that 8/19*l**v - 2/19*l**4 + 12/19*l**2 - 10/19 - 8/19*l = 0.
-1, 1, 5
Let i(v) be the third derivative of 1/100*v**5 + 1/5*v**3 + 0 - 3/40*v**4 + 0*v - 13*v**2. Factor i(s).
3*(s - 2)*(s - 1)/5
Let o(z) be the first derivative of z**6/2 + 151*z**5/15 + 245*z**4/12 + 73*z**3/9 - 5*z**2 + 2123. Determine m so that o(m) = 0.
-15, -1, 0, 2/9
Let o(i) = -3*i**4 - 9*i**3 + 36*i**2 - 39*i + 16. Let v be (1/4)/(-14 - (-741)/52). Let x(b) = b**4 + b**3 - b - 2. Let g(s) = v*o(s) + x(s). Factor g(n).
-2*(n - 1)**3*(n + 7)
Let -i**5 - 80*i**2 + 6*i**5 + 342*i**4 + 640 + 245*i**3 - 880*i - 90*i**4 - 182*i**4 = 0. Calculate i.
-8, -4, 1
Let o(a) = 43*a - 10576. Let m be o(246). Determine i, given that 2/7*i**m + 0 + 0*i = 0.
0
Suppose -127*a = -136*a - 9. Let u(y) = -3*y**5 - 165*y**4 - 2349*y**3 - 2187*y**2 + 2*y - 2. Let i(v) = -v + 1. Let g(p) = a*u(p) - 2*i(p). Factor g(q).
3*q**2*(q + 1)*(q + 27)**2
Let i(q) = 2*q**4 + 16*q**2 - 27*q + 3. Let z(t) = -t**4 + t**2 - t - 1. Let f(o) = 2*i(o) + 6*z(o). Factor f(y).
-2*y*(y - 3)*(y - 2)*(y + 5)
Let 11969 + 11562 + 297*d**5 - 5306 - 149*d**5 - 170*d**3 - 149*d**5 - 24165*d - 43*d**4 + 6154*d**2 = 0. Calculate d.
-27, 1, 5
Let y(m) = 16*m**4 - 50*m**3 - 26*m**2 + 5*m + 7. Let s(n) = -47*n**4 + 145*n**3 + 79*n**2 - 13*n - 20. Let g(z) = -7*s(z) - 20*y(z). Factor g(i).
3*i*(i - 3)*(i + 1)*(3*i + 1)
Let x(q) = 2*q**2 - 2*q - 9. Suppose 5*k = 1 - 11. Let s be x(k). Factor -3*r**3 + 5*r**3 - r**2 + 3*r**2 - 4*r**s.
-2*r**2*(r - 1)
Let h(u) be the second derivative of -u**5/20 + u**4 + 9*u**3/2 + 59*u**2/2 - 65*u. Let g(v) be the first derivative of h(v). Factor g(r).
-3*(r - 9)*(r + 1)
Let o(m) be the second derivative of m**5/180 - 29*m**4/54 + 185*m**3/54 + 10952*m**2/9 + 4456*m. Factor o(y).
(y - 37)**2*(y + 16)/9
Let j(a) be the third derivative of a**6/60 - 27*a**5/10 + 53*a**4/4 - 79*a**3/3 - 2*a**2 - 174. Factor j(h).
2*(h - 79)*(h - 1)**2
Determine o, given that 155*o - 4*o**2 + 1229 - 551*o - 489*o + 51 - 391*o = 0.
-320, 1
Factor -4780*p**4 + 2391*p**4 + 48*p**3 + 87*p + 116*p**2 - 15*p + 2393*p**4.
4*p*(p + 1)*(p + 2)*(p + 9)
Let j(t) be the second derivative of t**7/126 + t**6/45 + t**5/60 - 9*t + 19. Let j(v) = 0. What is v?
-1, 0
Let p(t) be the third derivative of t**7/945 - 19*t**6/540 + 32*t**5/135 - 5*t**4/9 + 13*t**2 - 6. Factor p(z).
2*z*(z - 15)*(z - 2)**2/9
Let y(k) be the third derivative of -77*k**7/24 + 777*k**6/32 + 1805*k**5/48 + 155*k**4/32 - 75*k**3/4 + 10*k**2 - 26. Suppose y(c) = 0. What is c?
-3/7, 2/11, 5
Find l, given that -11*l - 64/3 - 1/6*l**2 = 0.
-64, -2
Let s = 2441 - 2438. Let a(h) be the first derivative of -10 + 3*h + 1/3*h**s - 2*h**2. Let a(z) = 0. Calculate z.
1, 3
Let v be (-12922)/(((-48)/(-4))/(-6)). What is j in 25*j**3 + 3035 - v + 3051 - 265*j**2 + 775*j = 0?
3/5, 5
Suppose -490*a - 1372*a = 0. Factor -3*g**3 + 0*g**2 + 0*g + 3/7*g**5 + a + 18/7*g**4.
3*g**3*(g - 1)*(g + 7)/7
Factor -u - 1/4*u**2 + 21/4.
-(u - 3)*(u + 7)/4
Let l = -60 - -56. Let c(s) = -3*s - 2. Let u be c(l). Determine v so that 4 + 10*v**2 + u*v**2 - 4*v**3 + 3 + 5 - 28*v = 0.
1, 3
Let w(i) = -11*i - 107. Let a be w(-10). Factor 4*x + 2*x**4 - 19*x**3 + 3*x**2 + 3*x**4 + 5*x**a - 3*x**4 + 5*x**3.
x*(x - 4)*(x - 1)*(2*x + 1)
Let j(c) be the second derivative of 4/3*c**2 + 1/15*c**6 + 2*c - 7/18*c**4 - 93 - 1/30*c**5 + 0*c**3 + 1/63*c**7. Solve j(y) = 0.
-2, -1, 1
Let l(w) = 3*w**2 - 2864*w + 22722. Let n be l(8). Find v such that 2/11*v**n + 0 - 2/11*v**4 + 6/11*v**3 - 6/11*v = 0.
-1, 0, 1, 3
Let p(z) be the third derivative of -z**6/1440 + z**5/96 - z**4/16 - 56*z**3/3 - 166*z**2. Let y(b) be the first derivative of p(b). Find n such that y(n) = 0.
2, 3
Let x = 126 - 111. Suppose 63 - 42*a**4 - 12*a**4 - 63 + 12*a - 51*a**3 - x*a**5 = 0. What is a?
-2, -1, 0, 2/5
Let t(l) be the fir