1219. Let 4/3*z**r + 0*z + 0 - 28/3*z**3 + 49/3*z**4 = 0. Calculate z.
0, 2/7
Find u such that -92 - 87 + 4*u**3 + 15*u**2 + 12*u + 175 = 0.
-2, 1/4
Let b(h) be the second derivative of -h**6/180 - h**5/240 + h**4/16 - 19*h**3/6 - 14*h. Let f(l) be the second derivative of b(l). Factor f(k).
-(k + 1)*(4*k - 3)/2
Let g = -1398 + 12586/9. Factor -14/9*p**2 + 4/9*p**3 + g*p + 2/3.
2*(p - 3)*(p - 1)*(2*p + 1)/9
Let p(s) = s**2 + 11*s + 10. Let w be p(-10). Suppose -2*z + w*z + 8 = 0. Factor 21*m**3 - 23*m**3 - z - 3*m + 4*m**2 + 5*m.
-2*(m - 2)*(m - 1)*(m + 1)
Let a(w) be the first derivative of -2*w**5/65 + 6*w**4/13 - 92*w**3/39 + 60*w**2/13 - 50*w/13 - 438. Factor a(j).
-2*(j - 5)**2*(j - 1)**2/13
Let k be (-1)/(-6)*0/(-167). Let f(u) be the third derivative of k*u**5 + 0 - 8*u**2 + 0*u**4 + 0*u + 0*u**6 - 1/70*u**7 + 0*u**3. Determine c so that f(c) = 0.
0
Let o(w) be the third derivative of -w**5/270 + 2*w**4/27 + 20*w**3/27 - 706*w**2. Factor o(j).
-2*(j - 10)*(j + 2)/9
Let j(l) be the third derivative of 0*l**3 - 1/80*l**5 - 1/32*l**4 + 8*l**2 + 0 + 0*l. Factor j(r).
-3*r*(r + 1)/4
Let f = 193/203 + -11/29. Factor -f - 6/7*t + 10/7*t**2.
2*(t - 1)*(5*t + 2)/7
Find b such that -7/6*b**3 + 2/3 + 23/6*b**2 - 10/3*b = 0.
2/7, 1, 2
Let k(x) be the first derivative of x**6/120 - x**5/20 - 3*x**3 + 10. Let r(y) be the third derivative of k(y). What is q in r(q) = 0?
0, 2
Let b(s) be the first derivative of s**3/27 - 5*s**2/9 + 16*s/9 - 123. Solve b(u) = 0.
2, 8
Let q(t) be the second derivative of t**6/300 - t**5/150 - t**4/30 - 7*t**2/2 - 13*t. Let z(f) be the first derivative of q(f). Solve z(o) = 0.
-1, 0, 2
Let f(j) be the first derivative of -3*j**5/16 - j**4/16 + 5*j**3/8 + 3*j**2/8 + 10*j - 4. Let r(d) be the first derivative of f(d). Factor r(n).
-3*(n - 1)*(n + 1)*(5*n + 1)/4
Suppose -n = -3*n + 8. Suppose -2*m + 3*c = c + 2, m + 10 = n*c. Solve 6*u - u**2 + 0*u - 2*u**m = 0 for u.
0, 2
Factor -4/5*t - 3/5*t**3 + 0 + t**4 - 12/5*t**2.
t*(t - 2)*(t + 1)*(5*t + 2)/5
Let a be ((-2)/4)/(5/80). Let g be a/6*18/(-32). Find m, given that g*m**3 - 3*m**2 + 0 + 9/4*m = 0.
0, 1, 3
Solve 150 - 48315*p**4 + 9*p**2 + 48309*p**4 + 7*p**2 + 44*p**3 - 460*p = 0 for p.
-3, 1/3, 5
Let n(r) be the second derivative of -r**6/480 + r**4/96 + 3*r**2/2 + 16*r. Let u(s) be the first derivative of n(s). Factor u(m).
-m*(m - 1)*(m + 1)/4
Suppose -c = 3*c. Suppose 8*h - 10*h = 2*l + 10, 0 = 4*l + 2*h + 6. Solve 2/7*f + c + 8/7*f**l = 0.
-1/4, 0
Let -6/5 + 32/5*f + 32/5*f**3 - 6/5*f**4 - 52/5*f**2 = 0. What is f?
1/3, 1, 3
Suppose 25*b + 4*b - 145 = 0. Let z(i) be the second derivative of -1/50*i**5 - 1/15*i**4 + 0 + 1/15*i**3 + 2/5*i**2 + b*i. Suppose z(w) = 0. What is w?
-2, -1, 1
Let o(m) = 6*m**2 + 4*m - 285 + 12*m - 5*m**3 - 5*m**3 + 279. Let n(x) = x**3 - x**2 + 1. Let c(a) = -6*n(a) - o(a). Factor c(t).
4*t*(t - 2)*(t + 2)
Let y(t) = t + 14. Let d be y(-10). Let w be 3/((-10)/4 + d). Solve -5*o**3 - 2*o**3 - 3*o**w - 2*o + 3*o**3 + 3*o**3 = 0.
-2, -1, 0
Suppose -21/2 - w**3 + 13/2*w**2 + 5*w = 0. Calculate w.
-3/2, 1, 7
Let s be (16/(-56))/((-12)/21). Find m, given that 0 + 0*m + 0*m**2 + 1/2*m**3 + s*m**4 = 0.
-1, 0
Let 2/5*y**5 - 136/5*y**2 - 8/5*y**4 - 74/5*y**3 + 0 - 72/5*y = 0. Calculate y.
-2, -1, 0, 9
Factor 7 - 17*b**2 + 101*b**2 + 2*b**4 - 80*b + 19 - 32*b**3.
2*(b - 13)*(b - 1)**3
Let s(t) be the first derivative of -10 + 8*t + 0*t**5 - 1/6*t**6 - 2/3*t**3 + 7/4*t**4 - 6*t**2. Factor s(r).
-(r - 2)*(r - 1)**2*(r + 2)**2
Let k be (-138)/(-1)*8/16. Let s = k + -66. Factor h**s + 1/2*h**4 + 0 - 1/2*h**2 - h.
h*(h - 1)*(h + 1)*(h + 2)/2
Let r(x) = 7*x**2 + 637*x + 26. Let w(b) = 3*b**2 + 318*b + 12. Let d(u) = -6*r(u) + 13*w(u). Factor d(i).
-3*i*(i - 104)
Factor 288*o + 369*o**2 - 52*o**3 + 3*o**4 - 231*o**2 + 7*o**3 - 384.
3*(o - 8)**2*(o - 1)*(o + 2)
Suppose -7*v = -0*v - 5*v. Let b(z) be the first derivative of 4 + v*z**2 - 1/12*z**3 + 0*z. Factor b(a).
-a**2/4
Let i be (-1)/(-2) - ((-7326)/420)/(-37). Let m(h) be the second derivative of 8*h + 0 + 2/21*h**3 + 4/7*h**2 - 2/21*h**4 - i*h**5. Solve m(k) = 0.
-2, -1, 1
Let o = 553 + -547. Let x(w) be the second derivative of -1/5*w**5 + 0*w**4 + 0*w**2 + 0 + 13*w - 2/15*w**o + 0*w**3. Factor x(k).
-4*k**3*(k + 1)
Let w(v) = -v**3 + v**2 + v + 1. Suppose -z - 6 = -7*z. Let s(y) = -4*y**4 + 9*y**3 - 5*y**2 - 5*y - 5. Let j(i) = z*s(i) + 5*w(i). Let j(o) = 0. Calculate o.
0, 1
Let v = 39870 - 39867. Determine p, given that 1/2 + 2/3*p - 1/3*p**2 - 1/6*p**4 - 2/3*p**v = 0.
-3, -1, 1
Let s(o) be the first derivative of 16*o**3/3 + 18*o**2 + 8*o + 107. Factor s(l).
4*(l + 2)*(4*l + 1)
Let z(g) be the third derivative of g**7/1890 - g**6/540 - g**5/135 + g**4/108 + g**3/18 - 467*g**2. Factor z(u).
(u - 3)*(u - 1)*(u + 1)**2/9
Let m(p) = -15*p - 29. Let t be m(-9). Let k = t + -313/3. Find r, given that -2/3 + k*r**2 + 1/3*r + 2/3*r**3 = 0.
-2, -1, 1/2
Let w(i) = -38*i**4 + i**3 - 14*i**2 - 3*i**3 - 14*i - 8 + 44*i**4. Let p(t) = 2*t**4 - t**3 - 5*t**2 - 5*t - 3. Let k(z) = -8*p(z) + 3*w(z). Factor k(v).
2*v*(v - 1)*(v + 1)**2
Suppose 6 + 4 = 2*a. Suppose 0 = 3*c + 15, -5*c + 9 = a*k + 24. Determine p, given that p - 1/2*p**k + 0 = 0.
0, 2
Let i(q) = q**3 - q**2 - q - 1. Let w(b) = 2*b**4 + b**3 - 3*b**2 - b - 1. Let t(o) = -i(o) + w(o). Determine k so that t(k) = 0.
-1, 0, 1
Let k(q) be the first derivative of q**6/48 - 7*q**5/40 + 19*q**4/32 - 25*q**3/24 + q**2 - q/2 + 74. Factor k(w).
(w - 2)**2*(w - 1)**3/8
Let z = -1816 - -1824. Let v(p) be the first derivative of -z - 8/13*p - 54/13*p**3 + 36/13*p**2. Factor v(a).
-2*(9*a - 2)**2/13
Let r = 1 + 0. Let x = 32 + -25. Suppose -r - 8*k - k**2 + 3*k + x*k = 0. What is k?
1
Suppose -g + 3*g + 2*d = -8, -2*d = -2*g - 16. Let s be (-1)/g*4 - 52/(-39). Solve 0 + 18/5*q**s - 27/5*q**3 - 3/5*q = 0 for q.
0, 1/3
Determine k so that 0 + 0*k + 1/2*k**3 + 2*k**2 = 0.
-4, 0
Let d(z) be the third derivative of z**5/390 - z**4/52 - 28*z**3/39 + 2*z**2 + 134. Determine u, given that d(u) = 0.
-4, 7
Let n(g) = 3*g**2 - 8*g + 2. Let u be n(4). Let z be ((-3)/u*2)/((-18)/81). Factor -9/4 - z*a - 1/4*a**2.
-(a + 3)**2/4
Let f = 53/11 + -201/44. Find c such that 0 - f*c**2 - 1/2*c + 1/4*c**3 = 0.
-1, 0, 2
Let z be 1 + -4 + 60/12. Solve 40*d**2 + 44*d**z - 79*d**2 - 5 = 0 for d.
-1, 1
Let n = -259 - -259. Let h(p) be the second derivative of -6*p + n + 1/6*p**3 - 1/48*p**4 - 1/2*p**2. Find t such that h(t) = 0.
2
Determine f, given that 3*f**5 - 12*f**4 - 3*f**5 + 55*f**3 - 4*f**5 - 39*f**3 = 0.
-4, 0, 1
Let d(b) be the third derivative of 0*b**3 - 1/40*b**4 + 0*b - 1/300*b**5 + 0 - 2*b**2. Determine t so that d(t) = 0.
-3, 0
Suppose 26 = 5*a - 29. Suppose -a = -5*s - j, -3*s + 15 = 2*s + 5*j. Solve 7 - 62*x**s - 9*x - 94*x**3 + 25*x + 1 + 60*x**4 = 0.
-1/2, -1/3, 2/5, 2
Let y(g) = g**2 - g. Suppose 12*j - 21*j = -9. Let t(n) = -15*n - 25. Let s(f) = j*t(f) + 5*y(f). Determine u, given that s(u) = 0.
-1, 5
Let d = -77 + 75. Let n be -3*(-4)/(-54) + d/(-9). Factor 3/2*x**3 - 2*x + n - x**4 + 2*x**2 - 1/2*x**5.
-x*(x - 1)**2*(x + 2)**2/2
Let z(t) be the second derivative of t**5/180 + t**4/18 - 7*t**3/54 + 109*t. Solve z(x) = 0.
-7, 0, 1
Let i be 2 - ((-4)/(-2)*-1 + 134/(-134)). Suppose 0 + 2/7*b**3 + 2/7*b**4 - 2/7*b**i + 0*b - 2/7*b**2 = 0. What is b?
-1, 0, 1
Let n(q) = -3*q**3 - 6*q**2 - 8*q - 12. Let d be n(-2). Factor 0*a**3 - 1/2*a**5 + 0 + 0*a**2 + 0*a - 1/3*a**d.
-a**4*(3*a + 2)/6
Let 1/3*u**3 + 63*u - 162 - 8*u**2 = 0. What is u?
6, 9
Suppose -81 - 18 = 3*o. Let a be (1/(-9))/(11/o). Factor -a*s**2 + 0 - 1/3*s.
-s*(s + 1)/3
Let o(m) be the first derivative of -m**6/3 - 4*m**5/3 + 23*m**4/6 - 20*m**3/9 + 69. Solve o(x) = 0 for x.
-5, 0, 2/3, 1
Let m = 6040 + -24159/4. Factor m*z**2 - 3/4*z + 0.
z*(z - 3)/4
Let y(c) be the first derivative of -c**4/6 - 146*c**3/9 - 1295*c**2/3 + 2738*c/3 + 167. Factor y(w).
-2*(w - 1)*(w + 37)**2/3
Let i(j) = -j**3 + 8*j**2 - 14*j + 14. Let k be i(6). Let x be (-6 + 7)*0/k - -2. Factor -c**x + 1/2*c**3 + 0 + 1/2*c.
c*(c - 1)**2/2
Let r(m) be the first derivative of 4/9*m**3 + m**2 - 33 - 1/6*m**4 + 0*m. Factor r(f).
-2*f*(f - 3)*(f + 1)/3
Let r(v) = 7*v + 17. Let q be r(-2). Let l be 2 - ((-6)/(-7))/(q/4). Factor -l*x**2 + 0 - 3/7*x -