3*x**u.
-4*x**3
Let m be 105/495*11 - (-39)/(-18). Factor 0 - m*d - 1/6*d**2.
-d*(d + 1)/6
Let h(v) = 16*v**5 + 5*v**4 + 11*v**3 - 15*v**2 - 17*v. Let q(b) = -7*b**5 - 3*b**4 - 6*b**3 + 7*b**2 + 9*b. Let z(o) = 3*h(o) + 7*q(o). Solve z(f) = 0.
-3, -2, 0, 1
Solve 1/3*o**2 + 20/3 - 7*o = 0.
1, 20
Let p(i) be the second derivative of i**6/2160 + i**5/360 - i**4/48 + i**3/3 - 5*i. Let m(u) be the second derivative of p(u). Determine k so that m(k) = 0.
-3, 1
Let a = -2699/21 + 129. What is l in -6/7*l**5 + a*l - 32/21*l**4 + 12/7*l**2 + 8/21*l**3 - 4/21 = 0?
-1, 2/9, 1
Let o(q) be the third derivative of q**5/180 - 109*q**4/108 - 73*q**3/54 - 16*q**2. Factor o(h).
(h - 73)*(3*h + 1)/9
Let c(w) be the third derivative of 7*w**6/10 - 233*w**5/15 + 11*w**4/3 - 4*w**2 + 15*w. Find v, given that c(v) = 0.
0, 2/21, 11
Factor -215/7*l - 1/7*l**4 + 100/7 - 13/7*l**3 + 129/7*l**2.
-(l - 5)*(l - 1)**2*(l + 20)/7
Let t(s) = s**4 + 3*s**3 - s**2 + s. Let d(u) = -u**3 - u. Suppose -2 = p - 3*w, 3*p + p + 8 = -3*w. Let a(x) = p*d(x) - t(x). Factor a(c).
-c*(c - 1)*(c + 1)**2
Let u = -37952/5 + 7540. Let i = -50 - u. Suppose 0*h - i*h**3 + 0 - 7/5*h**4 + 0*h**2 = 0. What is h?
-2/7, 0
Factor -11/4*o**2 + 25/4*o - 13/4 - 1/4*o**3.
-(o - 1)**2*(o + 13)/4
Let -267*q**3 - 3*q + 269*q**3 - 3*q - 4 = 0. Calculate q.
-1, 2
Let s(a) be the first derivative of 5*a**4/4 + 5*a**3 - 45*a**2/2 + 25*a - 139. What is u in s(u) = 0?
-5, 1
Let o = -1821 - -34601/19. Determine c, given that o*c**2 + 2/19 + 4/19*c = 0.
-1
Let h(x) be the second derivative of 0 + 8/7*x**7 + 0*x**2 + 4*x**6 + x**3 - 13/4*x**4 + 27/20*x**5 + 32*x. Suppose h(y) = 0. Calculate y.
-2, -1, 0, 1/4
Suppose 10 = 3*v - 11. Suppose s - 2*i + v = 3*i, -4*s = -4*i - 4. Factor 2*k**3 + 1 + k**2 - 3*k**s + 2*k**2 - 3*k.
-(k - 1)**3
Let w = 272 + -272. Suppose 6*u - 8 - 4 = w. Let 3/5*d**u + 9/5*d - 12/5 = 0. Calculate d.
-4, 1
Let q(b) be the second derivative of b**7/126 - 19*b**6/270 + 7*b**5/30 - b**4/3 + 4*b**3/27 - 11*b + 1. Factor q(y).
y*(y - 2)**3*(3*y - 1)/9
Let m(z) = -z. Let a be (1/2)/((-2)/(-4)). Suppose k - a = 3. Let r(c) = -4*c**3 + 3*c**2 + 5*c. Let q(t) = k*m(t) + r(t). Factor q(j).
-j*(j - 1)*(4*j + 1)
Let o be 12 - 1 - 285/45. Suppose 3*t = 12 - 6. Factor 0 + 2*w + o*w**t + 10/3*w**3 + 2/3*w**4.
2*w*(w + 1)**2*(w + 3)/3
Let m be (-4)/6 - (-24)/9. Factor 3*j**4 - 9*j**5 - 24*j**4 - 12*j**3 - 3*j**3 - 3*j**m.
-3*j**2*(j + 1)**2*(3*j + 1)
Let l(b) = -b**2 - 6*b - 3. Let w be l(-5). Suppose -3*v - 2*o - w = -0*o, 4*v + 2 = -2*o. Factor c**5 - c**2 + 8*c**3 - 9*c**3 + c**4 + v*c**4.
c**2*(c - 1)*(c + 1)**2
Let m(l) be the first derivative of l**6/15 - 4*l**5/25 - 2*l**4/5 + 16*l**3/15 + 110. Let m(w) = 0. Calculate w.
-2, 0, 2
Let b(g) be the third derivative of 1/1176*g**8 - 19/105*g**5 + 0*g + 5/84*g**6 - 8/735*g**7 - 8/21*g**3 + 0 - 38*g**2 + 1/3*g**4. Factor b(i).
2*(i - 2)**3*(i - 1)**2/7
Let k(b) be the third derivative of -b**8/2240 + b**7/168 + b**4/24 - 17*b**2. Let u(g) be the second derivative of k(g). Determine w so that u(w) = 0.
0, 5
Let m(v) = -2*v**2 + 28*v - 94. Let t be m(8). Factor -1/6*j**3 + 1/6*j + 1/6*j**4 - 1/6*j**t + 0.
j*(j - 1)**2*(j + 1)/6
Let g be (1359/(-348) + 4)/(170/(-2144)). Let b = 2/493 - g. Factor -b*u - 2/5 - 6/5*u**2 - 2/5*u**3.
-2*(u + 1)**3/5
Let t(l) be the third derivative of -4*l**7/35 - 21*l**6/40 - 7*l**5/20 + 3*l**4/4 + 6*l**2 + 1. Factor t(q).
-3*q*(q + 1)*(q + 2)*(8*q - 3)
Let m = 3/467 + 455/1868. Let i be (-3)/((-30)/4) - (-232)/320. What is k in -i*k**2 + 11/8*k - m = 0?
2/9, 1
Let p(q) be the first derivative of 1/42*q**4 - 2 + 0*q - 2/63*q**3 - 2/21*q**2. Factor p(c).
2*c*(c - 2)*(c + 1)/21
Let y(x) = 10*x - 36. Let r be y(4). Factor 0*h**3 - 3/7*h**r + 0*h + 0 + 3/7*h**2.
-3*h**2*(h - 1)*(h + 1)/7
Let b(f) = f**2 - 12*f + 36. Let c(i) = -6*i**2 + 72*i - 216. Let z(w) = 10*w**2 + 3*w. Let x be z(-2). Let g(s) = x*b(s) + 6*c(s). Factor g(n).
-2*(n - 6)**2
Let c(w) be the first derivative of -w**5/210 - w**4/84 + 11*w**2 - 49. Let t(f) be the second derivative of c(f). Determine d, given that t(d) = 0.
-1, 0
Factor -20/9*q + 4/9*q**2 - 56/9.
4*(q - 7)*(q + 2)/9
Determine y so that 127884 - 36320 + 5*y**2 - 2020*y + 112456 = 0.
202
Let q(x) = -7*x**2 + 8*x + 6. Suppose -5*v + 3*v + 34 = 0. Let p(y) = 20*y**2 - 23*y - 17. Let z(w) = v*q(w) + 6*p(w). Factor z(u).
u*(u - 2)
Let j(v) be the second derivative of -v**8/2520 - 2*v**7/1575 - 2*v**2 + 18*v. Let c(t) be the first derivative of j(t). Suppose c(o) = 0. What is o?
-2, 0
Factor 324 - 575*l + 456*l + 371*l + 4*l**3 - 26*l**2 + 86*l**2.
4*(l + 3)**2*(l + 9)
Find l, given that 3*l**5 - l**2 - 7*l**4 - 32*l**3 + l**4 + 29*l**3 - 3*l**4 + 10*l**2 = 0.
-1, 0, 1, 3
Suppose -13*i + 16*i = -2*j + 4, -4 = -2*j + i. Factor -4/5 + 2/5*l**3 - 6/5*l + 0*l**j.
2*(l - 2)*(l + 1)**2/5
Factor -1/5*h**2 - 13/5*h - 42/5.
-(h + 6)*(h + 7)/5
Factor 12*i**4 - 3*i**3 + 3*i**5 - 8*i**4 - 3*i**5 - i**5 + 0*i**4.
-i**3*(i - 3)*(i - 1)
Let y(f) be the first derivative of 1/3*f**6 + 9 + 1/3*f**4 - 5/3*f**2 - 14/15*f**5 + 2/3*f + 4/3*f**3. Find s, given that y(s) = 0.
-1, 1/3, 1
Suppose 3*r = 5*a - 5 - 1, 18 = 3*r + 3*a. Suppose n = 2*n - r. Factor n - 4 + z**2 - z**3 + 1.
-z**2*(z - 1)
Factor 25*s**2 + 32 - s**2 - 36*s**3 + 40*s**3 - 60*s.
4*(s - 1)**2*(s + 8)
Let t(z) = 20*z**5 + 20*z**4 - 64*z**3 - 24*z. Let j(y) = -4*y**5 - 4*y**4 + 13*y**3 + 5*y. Let o = -15 + -9. Let f(g) = o*j(g) - 5*t(g). Solve f(h) = 0.
-2, 0, 1
Suppose 96*v**3 - 104/7*v**2 + 708/7*v**4 + 160/7*v**5 + 36/7 - 192/7*v = 0. What is v?
-3, -1, 1/5, 3/8
Suppose -p = h - 45, -2*p - 95 = -2*h + p. Let r = -46 + h. Determine t, given that 0*t - 1/3*t**3 - 1/3*t**2 + r = 0.
-1, 0
Let s(t) be the second derivative of -9*t + 0*t**2 - 1/24*t**3 + 0 - 1/80*t**5 + 1/24*t**4. Factor s(d).
-d*(d - 1)**2/4
Let f(v) = 20*v + 13. Let b be f(-6). Let m = b - -109. Determine l so that 2/5*l**m + 4/5 + 6/5*l = 0.
-2, -1
Suppose 0 = -16*q + 4*q + 468. Find i such that 52*i - 3*i**4 - q*i**2 - 12 - 16*i - 4*i**3 + 22*i**3 = 0.
1, 2
Let x(q) be the third derivative of -q**6/80 + 61*q**5/40 - 899*q**4/16 - 961*q**3/4 - 32*q**2 + 2. Solve x(u) = 0.
-1, 31
Suppose 7*p + 4 = 9*p. What is t in -t - 4*t - 5*t**p - t + t = 0?
-1, 0
Let m be 2/(1650/2705) - 0. Let v = m + 3/55. Determine k so that -4/3*k - v*k**2 + 0 - 8/3*k**3 - 2/3*k**4 = 0.
-2, -1, 0
Factor -256 - 1198*x + 2*x**2 - 1003*x + 2325*x.
2*(x - 2)*(x + 64)
Let s = -9 - -11. Suppose 3*u - 360 = -s*u. Determine n, given that -4*n**4 + 12*n**3 + u*n**2 + 3*n**4 + 96*n + 12*n**3 + 48 + 4*n**4 = 0.
-2
Let s(c) = -c**3 + c**2 - 2*c + 2. Suppose 0*i + 60 = 3*i. Let n = i - 22. Let b(g) = -g**3 - g**2 - g + 1. Let j(u) = n*b(u) + s(u). What is f in j(f) = 0?
-3, 0
Let g(u) be the first derivative of 3*u**4/10 + 7*u**3/5 - 3*u**2/2 - 12*u/5 - 101. Factor g(l).
3*(l - 1)*(l + 4)*(2*l + 1)/5
Suppose 0 = 139*w - 132*w. Factor 1/4*n**3 + 0*n**2 - 1/4*n + w.
n*(n - 1)*(n + 1)/4
Let w be (-237)/(-15) + 15/(-1). Find j such that 6/5 - 2/5*j**2 - w*j = 0.
-3, 1
Let s(x) be the second derivative of -x**5/4 + 155*x**4/4 - 4805*x**3/2 + 148955*x**2/2 - 3*x - 3. Factor s(n).
-5*(n - 31)**3
Let j = -601/28 + 152/7. Factor -3/4*w**4 - 3/4*w**3 + 0 + 0*w - 1/4*w**2 - j*w**5.
-w**2*(w + 1)**3/4
Let t(g) be the third derivative of g**5/12 - 5*g**4/12 - 5*g**3/2 - 5*g**2 - g. Factor t(h).
5*(h - 3)*(h + 1)
Let p = -497 - -500. Let y(x) = -2*x - 10. Let c be y(-6). Determine z so that -2/7*z**p + 6/7*z**c - 6/7*z + 2/7 = 0.
1
Let s = -35712 - -35716. Factor 0*n + 0*n**2 + 4/5*n**s + 0 - 4/5*n**3.
4*n**3*(n - 1)/5
Suppose -4*y + y = 4*i - 36, -22 = -3*i - y. Find a, given that 2 + 4*a + 2*a**2 - i*a - 2*a = 0.
1
Let s = 292 + -290. Let t(f) be the second derivative of -6/5*f**s - 1/15*f**4 + 0 + 4*f - 8/15*f**3. Determine g so that t(g) = 0.
-3, -1
Solve 180 - 33*b**2 - 1797*b**3 + 600*b**3 + 12*b + 601*b**3 + 599*b**3 = 0.
-2, 3, 10
Let t = -5287/3 - -1765. Determine b, given that -50/3*b**2 + t*b**3 + 28*b - 6 = 0.
1/4, 3
Let t(u) = -u**2 + 6*u - 7. Let d be t(3). Factor 2*p - 4*p**4 - p + 4*p**2 + 0*p**4 + d*p**5 - 3*p.
2*p*(p - 1)**3*(p + 1)
Let a = 115 + -1033/9. Let q(s) be the first derivative of 6 + a*s**3 - 1/6*s**4 - 2/3*s + 1/3*s*