 -1*((-8)/4)/((-55)/(-44)). Suppose 1/5*t**4 + 0 - t**3 + r*t**2 - 4/5*t = 0. Calculate t.
0, 1, 2
Determine k so that -51/5*k**4 - 9/5*k**2 + 48/5*k**3 + 0 + 0*k + 12/5*k**5 = 0.
0, 1/4, 1, 3
Let k be 3 - ((-2)/(-1) - 1). Suppose 4*y - 6 = k. Factor -4*m**5 + 4*m**4 + y*m**3 + 7*m**5 - m**5.
2*m**3*(m + 1)**2
Let n = 57 + -57. Suppose n*g - g = -4. Factor -1/4*w**2 + 0 - 1/4*w**g + 1/2*w**3 + 0*w.
-w**2*(w - 1)**2/4
Let x(y) be the second derivative of -y**6/45 + y**5/20 + y**4/12 - y**3/2 + 2*y. Let m(c) be the second derivative of x(c). Solve m(s) = 0.
-1/4, 1
Let h(b) be the third derivative of -b**8/80640 + b**7/10080 - b**6/2880 + 7*b**5/30 - 9*b**2. Let d(u) be the third derivative of h(u). Factor d(v).
-(v - 1)**2/4
Let x be ((6/(-4))/(-3))/((-14)/421). Let w = -100/7 - x. What is s in 0*s**3 + 0*s**2 + w*s**5 + 0 + 1/2*s**4 + 0*s = 0?
-2/3, 0
Suppose -255/8*b + 0 - 3/8*b**2 = 0. Calculate b.
-85, 0
Let p(m) be the third derivative of 0*m - 1/105*m**7 + 13*m**2 + 1/4*m**4 + 1/6*m**5 + 0*m**3 + 1/60*m**6 + 0. Find a such that p(a) = 0.
-1, 0, 3
Let u(g) be the third derivative of g**8/1344 + g**7/280 - g**5/60 - 32*g**2. Factor u(q).
q**2*(q - 1)*(q + 2)**2/4
Suppose -j = 4*k - 244, 0 = -4*k - 4*j + 185 + 71. Let l be (-1 - -3)*k/390. Find z such that 2/13*z**3 + 6/13*z**2 - 10/13*z + l - 2/13*z**4 = 0.
-2, 1
Let y = -18 + 22. Determine g, given that -456*g**2 + 39*g - 279*g - 308*g**y - 27*g**5 - 48 - 408*g**3 + 137*g**4 = 0.
-2, -1, -2/3
Let m(k) be the second derivative of -k**6/3060 - 9*k**3/2 - 25*k. Let r(c) be the second derivative of m(c). Factor r(q).
-2*q**2/17
Let q(t) = 4*t**4 - 8*t**3 - 7*t**2 - 5*t - 5. Let b(o) = -2*o**4 + 4*o**3 + 4*o**2 + 2*o + 2. Let v(x) = -5*b(x) - 2*q(x). What is w in v(w) = 0?
-1, 0, 3
Let n(m) be the second derivative of -m**4/12 + 2*m**3 + 4*m**2 - 27*m. Let p(u) = -12*u - 9. Let i(h) = 3*n(h) + 4*p(h). Factor i(g).
-3*(g + 2)**2
Let w(c) = c**2 - 14*c + 45. Let d be w(9). Factor d + 8/15*a - 2/15*a**2.
-2*a*(a - 4)/15
Let q(j) = j + 3. Suppose 0*z + 3 = -z. Let b be q(z). Find k, given that -k**4 + 0*k**4 + k**3 - 2*k**3 + b*k**3 = 0.
-1, 0
Let o(n) = -n**2 - 9*n - 4. Let j be o(-8). Suppose j*v = 10 + 2. Let -5*s**v - 5*s**4 + 5*s**4 + 5*s - s**4 + 5*s**2 - 4*s**4 = 0. Calculate s.
-1, 0, 1
Let q be (-12)/10*(-2390)/1912. Determine m so that 9/4*m - 3*m**2 + 0 - 3/4*m**5 - q*m**3 + 3*m**4 = 0.
-1, 0, 1, 3
Let w(y) = y**2 + 27*y - 22. Let o(l) = 4*l**2 + 136*l - 112. Let c(d) = -6*o(d) + 28*w(d). Suppose c(f) = 0. Calculate f.
1, 14
Let c(b) = -b**3 + 35*b**2 + 23*b + 12. Let q(l) = -16*l**2 - 12*l - 6. Let r(o) = 2*c(o) + 5*q(o). What is u in r(u) = 0?
-3, -1
Let y be (0 - -1)*(-4)/(-16). Let u(i) = -i**3 - 10*i**2 + 13*i + 24. Let a be u(-11). Factor -y*l**a + 0 - 1/2*l.
-l*(l + 2)/4
Factor -17/6*x**2 + 1/6*x**4 - 10/3 + 0*x**3 + 6*x.
(x - 2)**2*(x - 1)*(x + 5)/6
Let i(n) be the second derivative of 8*n**3 + 0 + 13/3*n**4 + 6/5*n**5 + 8*n**2 + 8*n + 2/15*n**6. Factor i(w).
4*(w + 1)**2*(w + 2)**2
Let v be 3 + 12*(-43)/10. Let z = v - -49. Determine j, given that 0*j - z*j**3 + 0 - 2/5*j**4 + 2/5*j**5 + 2/5*j**2 = 0.
-1, 0, 1
Let f = 173/116 + 1/116. Factor -f*s**2 + 1 + 5/2*s.
-(s - 2)*(3*s + 1)/2
Let j(g) be the second derivative of g**8/84 + g**7/56 - g**6/72 + 16*g**3/3 + 12*g. Let o(v) be the second derivative of j(v). Find z such that o(z) = 0.
-1, 0, 1/4
Suppose 0 = -18*h + 23*h - 5. Let d be 3 + h + (36/10)/(-1). Factor 2/5*u + 8/5*u**4 + 8/5*u**2 + 0 + 12/5*u**3 + d*u**5.
2*u*(u + 1)**4/5
Factor -2/13*l**3 - 58/13*l - 40/13 - 20/13*l**2.
-2*(l + 1)*(l + 4)*(l + 5)/13
Let j(p) = 3*p**2 - 2*p - 3. Let s be j(-2). Suppose 3*q = -2*v - 1 + s, -2*v = 0. Factor -12*u**2 + 2 - 6*u - q*u - 4.
-2*(2*u + 1)*(3*u + 1)
Suppose 0 = -59*g + 60*g - 2. Find x such that 12*x**g - 80*x**3 - 8*x**2 - 15*x**2 - 41*x**2 + 40*x + 12 = 0.
-1, -1/4, 3/5
Let y be (-1695)/226*2*(-18)/105. Determine z, given that 4/7*z**2 + 2/7*z**5 - 12/7*z**4 + 16/7*z**3 - y*z + 8/7 = 0.
-1, 1, 4
Let w(z) = -z**3 + 7*z**2 - z + 11. Let k be w(7). Let b(i) be the second derivative of -1/2*i**2 - 1/12*i**3 + 0 + 9*i + 1/24*i**k. Factor b(x).
(x - 2)*(x + 1)/2
Let y be (-1)/((-19)/114) - 4. Factor 3/2*m**3 + 25/2*m**y + 8 + 28*m.
(m + 4)**2*(3*m + 1)/2
Let h(g) = 2*g**2 + g + 2. Let u(k) = -5*k**2 - 12*k + 20. Let w(a) = -4*h(a) - 2*u(a). Solve w(o) = 0.
-12, 2
Let q = 20 - 24. Let s be (q + 5)*3*1. What is a in -6*a + 9*a**2 - 5*a**3 - 4*a**3 + 6*a**s = 0?
0, 1, 2
Let x(n) = 8*n + 12. Let f = -5 - -10. Let b be x(f). Find u, given that -u**2 + 52*u - u**3 + u**5 - b*u + u**4 = 0.
-1, 0, 1
Let f(h) be the first derivative of -7*h**4/26 + 844*h**3/39 - 6420*h**2/13 + 3600*h/13 + 38. Suppose f(r) = 0. Calculate r.
2/7, 30
Let t = 37 - 34. Let c(z) = z**2 + z + 1. Let i(u) = 6*u**2 + 21*u + 30. Let d(p) = t*c(p) - i(p). Factor d(k).
-3*(k + 3)**2
Factor -2*x**2 + x + 0*x**2 + 905*x**3 - 904*x**3.
x*(x - 1)**2
Let x(l) be the second derivative of -19*l - 1/20*l**5 - 11/12*l**4 - 35/6*l**3 - 25/2*l**2 + 0. Suppose x(g) = 0. What is g?
-5, -1
Let n(h) be the second derivative of h**5/40 + 5*h**4/24 + h**3/2 - 86*h. Factor n(i).
i*(i + 2)*(i + 3)/2
Let c(p) be the third derivative of p**6/60 - 67*p**5/15 + 385*p**4 - 2904*p**3 + p**2 - 190. Let c(q) = 0. Calculate q.
2, 66
Let b(z) be the second derivative of -25/4*z**4 + 65/6*z**3 + 43*z - 10*z**2 - 1/6*z**6 + 7/4*z**5 + 0. Factor b(n).
-5*(n - 4)*(n - 1)**3
Determine f, given that -255*f**3 + 10*f**5 - 5*f**2 - 145/3*f**4 - 40 + 455/3*f = 0.
-3, -1, 1/3, 1/2, 8
Let d(x) be the second derivative of 8/3*x**3 - 2/3*x**4 + 0 + 1/20*x**5 + 12*x + 0*x**2. Factor d(r).
r*(r - 4)**2
Let h(k) be the first derivative of -k**6/24 + 6*k**5/5 + 39*k**4/8 + 20*k**3/3 + 27*k**2/8 - 94. Factor h(f).
-f*(f - 27)*(f + 1)**3/4
Let m(h) = -5*h**2 - 2*h**2 - 1 + 8*h**2 - h. Let q(f) = 2*f**2 - 5*f - 4. Let d(l) = 15*m(l) - 5*q(l). Factor d(g).
5*(g + 1)**2
Let t(a) be the second derivative of -2*a**7/21 + 4*a**6/5 + 3*a**5 + 8*a**4/3 + 193*a. Determine c, given that t(c) = 0.
-1, 0, 8
Let h(s) be the third derivative of s**8/840 - 2*s**7/175 - 17*s**6/300 + s**5/25 + 4*s**4/15 + 15*s**2 - 5. Suppose h(y) = 0. What is y?
-2, -1, 0, 1, 8
Let x be (-732)/1220 + 71/60. Let -x*h**2 - 7/12*h - 1/6 - 1/6*h**3 = 0. What is h?
-2, -1, -1/2
Let s(x) = -x**2 + 2*x + 1. Let v(d) = -6*d**2 - 16*d + 2. Let c(g) = -2*s(g) + v(g). Factor c(j).
-4*j*(j + 5)
Let t be 84/(-5355)*-17*(1 + 4). Find x, given that -2/3*x**2 + t + 2/3*x = 0.
-1, 2
Factor 12*b**3 + 60 + 40*b**2 - 92*b + b**4 - 5*b**4 - 4*b**2 - 12.
-4*(b - 4)*(b - 1)**2*(b + 3)
Suppose 8 = -3*l + 4*l. Let m be (-2)/4 + 135/18. Solve -m*k**4 - 28*k**3 + 28*k**5 - l*k**2 + 4*k**4 + 11*k**4 = 0 for k.
-1, -2/7, 0, 1
Let v(n) be the third derivative of n**9/5040 - n**8/2240 - n**7/840 + n**6/240 + 11*n**4/24 + 3*n**2. Let h(o) be the second derivative of v(o). Factor h(b).
3*b*(b - 1)**2*(b + 1)
Let b(k) be the second derivative of -19/3*k**3 + 28/9*k**4 - 8/15*k**5 + 12*k + 6*k**2 + 0. Factor b(c).
-2*(c - 2)*(4*c - 3)**2/3
Determine d so that 0 + 0 - 18*d**2 + 37*d**2 - 18*d**2 - d**3 + 2*d = 0.
-1, 0, 2
Let o(t) be the first derivative of -t**5 + 25*t**4/4 - 15*t**3 + 35*t**2/2 - 10*t + 93. Suppose o(u) = 0. Calculate u.
1, 2
Suppose 5 + 5 = 5*k. What is v in 18 - 3*v - 18 + 0*v + v**k = 0?
0, 3
Let k = 9117 + -9115. Let -5/9 + 2/3*u - 1/9*u**k = 0. Calculate u.
1, 5
Let f(h) be the second derivative of -h**5/160 + 65*h**4/96 - 84*h - 2. Factor f(q).
-q**2*(q - 65)/8
Let p = -1706/7 - -6831/28. What is y in -1/4*y**2 - 1/2*y**3 + p*y**4 + 1/2*y + 0 = 0?
-1, 0, 1, 2
Let m be (1*(-863)/21)/(5/(-15)). Let f = m + -123. What is h in 0*h - 2/7*h**2 + f*h**5 + 0 - 2/7*h**3 + 2/7*h**4 = 0?
-1, 0, 1
Let v be (-2)/10 - ((-44)/(-25))/(42/(-15)). Solve 0 + 2/7*m**2 + 0*m + v*m**3 + 1/7*m**4 = 0.
-2, -1, 0
Solve 6/7*f + 2*f**3 - 4/7 + 24/7*f**2 = 0.
-1, 2/7
Factor -1/5*f**2 + 4 - 8/5*f.
-(f - 2)*(f + 10)/5
Let u(i) = -3*i**2 - 19*i + 50. Let v(o) = 3*o**2 + 18*o - 48. Let k(j) = -3*u(j) - 2*v(j). Suppose k(m) = 0. Calculate m.
-9, 2
Let u(t) be the third derivative of t**6/720 - t**5/360 - t**4/16 + t**3/4 + 3*t**2 + 24. Factor u(m).
(m - 3)*(m - 1)*(m + 3)/6
Find z, giv