 + 0*m - 8/7*m**4 + 0 - 6/7*m**2.
-2*m**2*(m + 1)*(4*m + 3)/7
Determine z, given that 1634*z**4 - 1638*z**4 - 3*z**2 - 20*z**3 - 13*z**2 = 0.
-4, -1, 0
Suppose -5*o = d - 17, -d - 5*o = 4*d - 5. Let r be -3 + (14/8)/(d/(-6)). Suppose -1/2*a + 0*a**4 + 0 + a**3 + 0*a**2 - r*a**5 = 0. Calculate a.
-1, 0, 1
Let u(i) = -5*i + 14. Let z(t) = 2*t - 7. Let x(l) = 3*u(l) + 7*z(l). Let m be x(-9). Factor 3*k**2 - 4*k**2 - 4*k**3 - 6*k - 1 - 8*k**m + 0.
-(k + 1)**2*(4*k + 1)
Let d(g) = g**4 - g**3 + g. Let m(j) = -8*j**4 + 20*j**3 + 72*j**2 + 76*j + 28. Let c(w) = -4*d(w) - m(w). Factor c(x).
4*(x - 7)*(x + 1)**3
Let g be -1 + 2 + 30 + -4. Let z be 144/g - ((-8)/(-6))/1. Factor -1/2*t**3 + 1/2*t**z + 0*t + 0 + 1/2*t**5 - 1/2*t**2.
t**2*(t - 1)*(t + 1)**2/2
Let f be (-4 + 97)*10/6*1. Find h, given that 78 + 77 + 3*h**3 - 9*h**2 - f + 6*h = 0.
0, 1, 2
Let r = 54 + -49. Let h = r + -1. Solve 4/3*p**3 + 0*p + 0*p**2 + 0 + 2/3*p**5 + 2*p**h = 0.
-2, -1, 0
Determine k so that 324 - 177*k**2 - 15*k**4 + 85*k**3 + 16*k**4 - 116*k**3 - 117*k = 0.
-3, 1, 36
Let t = -8135 + 8139. Factor -2/9*s**5 + 0 + 2/9*s**3 + 2/9*s**2 - 2/9*s**t + 0*s.
-2*s**2*(s - 1)*(s + 1)**2/9
Determine o, given that 0 + 12/19*o**3 + 2/19*o**4 + 16/19*o + 24/19*o**2 = 0.
-2, 0
Let c(r) be the second derivative of -r**5/240 - r**4/48 - r**3/24 + 39*r**2/2 + 52*r. Let v(b) be the first derivative of c(b). Solve v(k) = 0.
-1
Let m = -15867/377 - -1225/29. Factor -6/13*h + 0*h**2 - 4/13 + m*h**3.
2*(h - 2)*(h + 1)**2/13
Suppose 0 = l - 5*g + 16, 0*l - 3*g + 16 = l. Let i(f) = -4*f + 13. Let c be i(-8). Factor 8*h**2 + 0*h**5 + 2*h**5 + c*h**l + 2*h - 37*h**4 + 12*h**3.
2*h*(h + 1)**4
Determine u, given that 6/17*u**5 + 14/17*u**2 - 22/17*u**4 + 8/17 + 18/17*u**3 - 24/17*u = 0.
-1, 2/3, 1, 2
Let a(j) be the second derivative of -j**4/16 - 5*j**3/4 - 7*j - 1. Factor a(k).
-3*k*(k + 10)/4
Let m = 1929 - 1926. Solve 0 + 12/7*t**m - 3/7*t + 6/7*t**4 - 9/7*t**5 - 6/7*t**2 = 0 for t.
-1, -1/3, 0, 1
Let q(a) be the third derivative of -1/32*a**5 + 1/16*a**4 + 0*a - a**2 + 0*a**3 + 1/320*a**6 + 0. Factor q(z).
3*z*(z - 4)*(z - 1)/8
Let h(z) be the third derivative of -z**8/336 - 4*z**7/105 - 19*z**6/120 - z**5/5 - 337*z**2. Solve h(x) = 0.
-4, -3, -1, 0
Let v(k) be the third derivative of -k**5/15 + 8*k**4 + 295*k**2. Factor v(u).
-4*u*(u - 48)
Let j(q) be the first derivative of -1/5*q**3 - 3*q - 9/5*q**2 - 30. Find f such that j(f) = 0.
-5, -1
Let b be ((-12)/(-8) + -2)*(3 - 3). Let p(f) be the first derivative of 1/5*f**3 - 10 - 3/5*f + b*f**2. Let p(y) = 0. Calculate y.
-1, 1
Suppose 17*o = 15*o. Let w = 81/5 + -15. Factor 3/5*s**2 + o - w*s.
3*s*(s - 2)/5
Let h = -105/8 - -751/56. Let m = -10149 - -10151. Let -2/7*y**3 + h*y**m + 1/7*y**5 + 1/7*y - 1/7 - 1/7*y**4 = 0. Calculate y.
-1, 1
Let n(p) be the first derivative of 33 - 1/5*p**3 - 6/5*p**2 - 9/5*p. Factor n(a).
-3*(a + 1)*(a + 3)/5
Suppose -34*s = -35*s. Suppose s = 3*m - 2*m + 2*m. Factor 1/4*h + 1/4*h**3 + m - 1/2*h**2.
h*(h - 1)**2/4
Determine b, given that 0*b + 80/9*b**3 + 16/9*b**2 + 100/9*b**4 + 0 = 0.
-2/5, 0
Suppose -2*v - 6 = -4*w, 6 = -2*w - 3*v - 3. Let j(u) be the third derivative of 0*u + w - 1/36*u**4 + 5*u**2 - 1/270*u**5 - 2/27*u**3. Factor j(k).
-2*(k + 1)*(k + 2)/9
Factor 4 - 2 - s**2 + 7*s + 9*s - 17*s.
-(s - 1)*(s + 2)
Let x(l) = -l**2 + 6*l + 6. Let v be x(6). Let b be (v/(-9))/((-1)/3). Solve -4*f**4 - 2*f**5 + 6*f**4 + b*f**3 - 2*f**3 = 0 for f.
0, 1
Let t(s) = 84*s**4 + 112*s**3 - 1384*s**2 - 3120*s + 11668. Let g(n) = 13*n**4 + 17*n**3 - 213*n**2 - 480*n + 1795. Let b(j) = 32*g(j) - 5*t(j). Factor b(h).
-4*(h - 3)**2*(h + 5)**2
Let m(x) be the first derivative of -x**4/20 - 68*x**3/15 - 133*x**2/10 - 66*x/5 + 614. Factor m(f).
-(f + 1)**2*(f + 66)/5
Factor 0 + 7/6*u**3 + 3/2*u**2 + 1/3*u.
u*(u + 1)*(7*u + 2)/6
Suppose -2*j + 15 = -9. Find z, given that -4*z**3 + 57*z**2 + 8 - 57*z**2 + j*z = 0.
-1, 2
Let z = 17 - 8. Let t = z - 4. Find q, given that 7*q + q**2 - q - 2*q**3 - t*q**2 + 0*q**3 = 0.
-3, 0, 1
Suppose -2*t = 3*s - 17, -2*s - 2*t = 3*s - 23. Factor s*p**5 + 24*p**4 + 31*p**2 - 19*p**3 + 12*p**4 + 82*p**3 - p**2.
3*p**2*(p + 1)**2*(p + 10)
Let k(w) be the second derivative of w**7/49 + 39*w**6/35 + 648*w**5/35 + 484*w**4/7 - 144*w**3/7 - 3888*w**2/7 + 5*w - 5. Determine q, given that k(q) = 0.
-18, -2, 1
Let u(y) be the second derivative of -y**8/5040 + y**6/180 + y**5/45 + y**4/24 - y**3/3 - 17*y. Let h(r) be the second derivative of u(r). Factor h(f).
-(f - 3)*(f + 1)**3/3
Let b(d) = -d**2 - 4*d - 2. Let x be b(-3). Suppose -3*v = -x - 8. What is r in 9*r**2 + 10*r + 6*r - 10*r + v*r**3 = 0?
-2, -1, 0
Let v be (-6 - 2)*((-25)/10 + 2). Suppose -11 = 3*w - 4*t, 26 = 2*w + v*t - 0. Find q such that -2/7*q**w + 4/7*q**2 - 4/7 + 2/7*q = 0.
-1, 1, 2
Let h = 63 + -60. Suppose -4*o + 2*o - 2 = 5*u, 4*u + h = -3*o. Factor 0*g + u - 2/5*g**2 + 2/5*g**5 + 6/5*g**3 - 6/5*g**4.
2*g**2*(g - 1)**3/5
Let w be 44/110 + (-3778)/820. Let k = 12/41 - w. Determine c, given that -11/2*c**2 + c + 6*c**3 + k*c**4 + 0 = 0.
-2, 0, 1/3
Let q(h) be the third derivative of -h**6/420 - h**5/42 - h**4/14 - 18*h**2. Suppose q(t) = 0. Calculate t.
-3, -2, 0
Let t be (-18)/(-32)*-2 - 375/(-300). Determine j, given that 1/8*j + 0 + 0*j**2 + t*j**5 - 1/4*j**3 + 0*j**4 = 0.
-1, 0, 1
Let b(q) be the second derivative of -2*q**3 + 0 + 12*q**2 - 6*q - 21/2*q**4 + 27/4*q**5. Suppose b(s) = 0. Calculate s.
-2/5, 2/3
Let f(s) be the second derivative of 3/16*s**4 - 14*s + 3/2*s**2 + s**3 + 0. Suppose f(j) = 0. Calculate j.
-2, -2/3
Let u be (20/(-16))/(3/36). Let g be (-40)/u*(-9)/(-6). What is q in 4*q**3 - 1 - g*q + 1 + 0 = 0?
-1, 0, 1
Suppose 0 = -28*c + 30*c. Let i(u) be the second derivative of c*u**5 + 0*u**2 + 0 + 1/24*u**4 + 0*u**3 - 1/60*u**6 + 6*u. Find m, given that i(m) = 0.
-1, 0, 1
Let d = -787/5 + 1599/10. Let -d*k - 25*k**2 + 0 - 125/2*k**3 = 0. What is k?
-1/5, 0
Let j(q) be the second derivative of 26*q - q**4 + 0*q**3 + 1/10*q**5 + 0 + 1/15*q**6 + 0*q**2. Factor j(y).
2*y**2*(y - 2)*(y + 3)
Let g = 4044383/148690 - 3/29738. Find m, given that -g*m**2 + 222/5*m + 22/5*m**3 - 36/5 = 0.
2/11, 3
Let f be (-5)/(-15)*1*-3. Let k be 6 - (f + 0 - -3). Suppose -3*c**2 + c + 4*c**2 + 2 - k*c = 0. Calculate c.
1, 2
Let j = 74 + -68. Let f be j/72*6 + 1/(-4). Determine q so that -1/4*q**2 + f*q**4 + 3/8*q - 1/2*q**3 + 0 + 1/8*q**5 = 0.
-3, -1, 0, 1
Let s be (0 + 5)*28/70. Determine q, given that 0*q**s + 0 + 32/3*q**5 + 2/3*q**3 - 16/3*q**4 + 0*q = 0.
0, 1/4
Suppose -21*o - 26 = -23*o. Let l(s) = 6 - 5*s + o*s - 18 + 8*s**2. Let y(n) = -3*n**2 - 3*n + 5. Let a(f) = -5*l(f) - 12*y(f). Factor a(t).
-4*t*(t + 1)
Suppose 131 = -4*j + 139. Let a(b) be the second derivative of 0 - 3*b**j + 1/2*b**3 + 2*b + 3/4*b**4. Factor a(w).
3*(w + 1)*(3*w - 2)
Let o(w) be the third derivative of w**8/16 + 19*w**7/70 + w**6/5 - w**5/5 + 77*w**2 + 3. Solve o(k) = 0.
-2, -1, 0, 2/7
Let u(f) = -13*f**3 + 5*f**2 + 33*f + 15. Let a(w) = -50*w**3 + 20*w**2 + 130*w + 60. Let d(p) = 4*a(p) - 15*u(p). Factor d(g).
-5*(g - 3)*(g + 1)**2
Find j, given that -182/5*j**4 - 23/5*j**5 - 98*j**3 - 508/5*j**2 + 18/5 - 159/5*j = 0.
-3, -1, 2/23
Let p(v) be the first derivative of 1/5*v + 1/5*v**2 + 7 + 1/15*v**3. Factor p(a).
(a + 1)**2/5
Suppose -129*z = -125*z - 108. Let m be 75/z - -4*(-4)/(-72). Solve -1/2*j**4 + 1/2*j - j**m + j**2 + 1/2*j**5 - 1/2 = 0.
-1, 1
Let j(z) be the first derivative of -25 + 12*z - 9/5*z**5 - 51/4*z**4 + 18*z**2 - z**3 + 5/2*z**6. Solve j(q) = 0.
-1, -2/5, 1, 2
Let p be (-10)/(-3) - (-1 + 3). Suppose y + 4*k = 18, -3*k - 1 = 4*y - 21. Let 2/3 - p*i + 2/3*i**y = 0. What is i?
1
Find n such that 8/7*n - 28*n**5 + 65*n**4 - 114/7*n**3 + 0 - 4*n**2 = 0.
-1/4, 0, 2/7, 2
Factor -4/5*a**5 + 536/5*a**2 + 288/5 - 624/5*a + 48/5*a**4 - 228/5*a**3.
-4*(a - 3)**2*(a - 2)**3/5
Factor -9*g**2 + 0 - 4*g + 1/2*g**5 - 11/2*g**3 + 0*g**4.
g*(g - 4)*(g + 1)**2*(g + 2)/2
Let t(x) be the third derivative of x**6/20 - 11*x**5/30 + x**4 - 4*x**3/3 + 45*x**2 - 2*x. Factor t(r).
2*(r - 2)*(r - 1)*(3*r - 2)
Factor 1010*r**3 + 180*r - 980*r**3 - 111*r**2 - 61 - 3*r**4 - 47.
-3*(r - 3)**2*(r - 2)**2
Suppose -h - b = -6*b + 8, 8 = -4*h - 4*b. Let o be 65/5 - (0 + h). Fa