7 - 1/60*r**5 + 0 + 0*r + 2*r**2 + 0*r**3 + 11/120*r**6. Factor u(p).
-p**2*(11*p - 2)**2/4
Let s(h) = h**5 - 24*h**4 + 24*h**3 + 10*h**2 - 25*h + 6. Let j(o) = 25*o**4 - 25*o**3 - 10*o**2 + 25*o - 5. Let x(i) = 4*j(i) + 5*s(i). Solve x(w) = 0 for w.
-1, 1, 2
Let b be (-5)/(-25)*(6 + 4). Solve 8/11*d**b + 10/11*d + 2/11*d**3 + 4/11 = 0.
-2, -1
Suppose -5*s - 165 = 5*b, -10 = -0*s - 5*s. Let v be ((-20)/b)/((-10)/(-7)). Factor 0*c + 0*c**2 + 2/5*c**4 + 0 + v*c**3.
2*c**3*(c + 1)/5
Let v(j) be the first derivative of -2/3*j**3 + 0*j + 1/2*j**4 + 6 + 0*j**2. Suppose v(n) = 0. What is n?
0, 1
Factor 29*g**2 - 4*g - 33*g**2 + 20*g.
-4*g*(g - 4)
Let r(o) = -o + 1. Let x(t) = -576*t**2 + 51*t - 4. Let q(k) = 6*r(k) + 2*x(k). Solve q(w) = 0.
1/24
Let z(j) be the first derivative of j**8/56 + 2*j**7/105 - j**6/60 - j**2/2 - 1. Let v(m) be the second derivative of z(m). Find x such that v(x) = 0.
-1, 0, 1/3
Let c(n) be the second derivative of 5*n**4/24 + 5*n**3/2 - 17*n. Suppose c(s) = 0. What is s?
-6, 0
Let r(c) = 13*c**2 - 22*c + 6. Let q(g) = 4*g**2 - 7*g + 2. Let x = 5 - 3. Let p be 12/6 - (0 - -9). Let o(z) = p*q(z) + x*r(z). Find y such that o(y) = 0.
1/2, 2
Suppose 0*f - 1/7*f**5 + 0 + 0*f**3 - 1/7*f**4 + 0*f**2 = 0. What is f?
-1, 0
Suppose -2*f + 42 = 4*a, 0*f + 2*f = -10. Let m = -9 + a. What is d in 10*d**3 + 45*d**2 - 23*d**3 - 24*d + m - 12*d**3 = 0?
2/5, 1
Let a(s) be the second derivative of -3*s**5/35 - s**4/42 + 5*s**3/21 + 2*s**2/7 - 15*s. Determine z so that a(z) = 0.
-2/3, -1/2, 1
Factor -61*l**3 + 13*l + 8*l + 15*l**2 + 9 + 64*l**3.
3*(l + 1)**2*(l + 3)
Let t(h) be the second derivative of -h + 0 - 1/3*h**3 + 1/6*h**4 + 0*h**2. Find o, given that t(o) = 0.
0, 1
Let l(n) = -n**3 - n + 1. Let w(d) = 24*d**4 + 81*d**3 + 64*d**2 + 21*d - 5. Let v(g) = 5*l(g) + w(g). Suppose v(x) = 0. What is x?
-2, -2/3, -1/2, 0
Let i(c) be the third derivative of c**9/4536 + c**8/1260 + c**7/1260 + 2*c**3/3 + 6*c**2. Let j(q) be the first derivative of i(q). Factor j(t).
2*t**3*(t + 1)**2/3
Let t(m) be the third derivative of m**6/24 - 5*m**5/12 + 5*m**4/3 - 10*m**3/3 + 4*m**2. Let t(r) = 0. Calculate r.
1, 2
Determine n so that 0 + 2/13*n + 4/13*n**2 + 2/13*n**3 = 0.
-1, 0
Let y(t) be the first derivative of 2/35*t**5 + 2/7*t**3 + 0*t - 1/7*t**2 + 1 - 3/14*t**4. Determine s, given that y(s) = 0.
0, 1
Factor 1/5 + 0*j - 1/5*j**2.
-(j - 1)*(j + 1)/5
Suppose 2 = 4*q - 10. Let d = 5 + -2. Factor d*j - q*j - j + j**3.
j*(j - 1)*(j + 1)
Let x(q) be the second derivative of -5*q**4/12 + 15*q**3 - 405*q**2/2 - 24*q. Determine d, given that x(d) = 0.
9
Let c = -2489/12 - -208. Let y(q) be the first derivative of 2/15*q**5 + c*q**2 + 1/6*q + 5/6*q**3 + 1 + 13/24*q**4. Factor y(p).
(p + 1)**3*(4*p + 1)/6
Suppose 0 = -5*k - 0 + 10. Factor 2*z**2 + 2*z**2 - k*z**2 + 3*z**4 + z**2 + 6*z**3.
3*z**2*(z + 1)**2
Let d be -10*(6/(-5) - 2). Let m = d + -159/5. Factor -1/5*j + 2/5*j**2 - 2/5*j**4 + 0 + m*j**3.
-j*(j - 1)*(j + 1)*(2*j - 1)/5
Let z(i) be the first derivative of 3/2*i**4 + i**2 - 1 + 0*i + 2*i**3 + 2/5*i**5. Suppose z(j) = 0. Calculate j.
-1, 0
Suppose 4*f - 5 - 3 = 0. Factor -3*i**5 + 2*i**5 - 2*i**2 - i + f*i**4 + 2*i**5.
i*(i - 1)*(i + 1)**3
Factor -2*j**3 - 3*j + j + 2*j + 2*j**2.
-2*j**2*(j - 1)
Let h(s) be the first derivative of 1/3*s**3 + 0*s + 3/8*s**4 + 1/8*s**5 + 2 - s**2 + 7/480*s**6. Let c(j) be the second derivative of h(j). Solve c(z) = 0.
-2, -2/7
Let c = 5/12 - 11/84. Let 0 + c*j**2 + 0*j = 0. Calculate j.
0
Let s(l) be the third derivative of l**7/1260 + l**6/135 + l**5/36 + l**4/18 - l**3/3 - 3*l**2. Let c(n) be the first derivative of s(n). Factor c(y).
2*(y + 1)**2*(y + 2)/3
Let d(m) be the second derivative of m**4/6 + 7*m**3/3 - 8*m**2 + 42*m. What is k in d(k) = 0?
-8, 1
Let i = -4 - -6. Let f = 77 + -77. Determine d, given that f - 2/7*d - 4/7*d**i - 2/7*d**3 = 0.
-1, 0
Determine a, given that 10/7*a**2 - 8/7*a**3 + 0 - 4/7*a + 2/7*a**4 = 0.
0, 1, 2
Let c = -1198 + 1198. What is k in 1/6*k**2 + c - 1/3*k = 0?
0, 2
Let h(w) = w**5 - 6*w**4 - 14*w**3 - 16*w**2 - 11*w - 4. Let n(o) = 2*o**5 - o + 0*o**5 + 3 - o**5 - 4. Let z(y) = -h(y) + 2*n(y). Factor z(l).
(l + 1)**4*(l + 2)
Let u be 5*(0 + (-4)/(-10)). Find x such that -2*x**2 - u + 4*x + 0*x**2 + 0*x**2 = 0.
1
Let -72 - 3*f**2 + 4*f + 76 - 4*f**3 - f**2 = 0. Calculate f.
-1, 1
Suppose -40/7*j**4 + 320/7*j**3 + 2560/7*j - 2048/7 - 1280/7*j**2 + 2/7*j**5 = 0. Calculate j.
4
Let m(y) = 3*y - 3. Let j be m(2). Let f = -28 - -142/5. Find a such that 0 - f*a - 2/5*a**j - 4/5*a**2 = 0.
-1, 0
Let g(r) be the second derivative of -3*r**5/40 - r**4/12 + 7*r**3/12 - r**2/2 - 5*r. Suppose g(u) = 0. Calculate u.
-2, 1/3, 1
Let v be (-1)/4 - (-52)/16. Factor b + 0 + 0 + v*b**2 - 4*b**2.
-b*(b - 1)
Let s(k) = k**5 + k**4 - k**3 - k**2 - k - 1. Let o(w) = -7*w**5 + 18*w**4 - 18*w**3 - 8*w**2 + 27*w - 8. Let z(i) = o(i) + 2*s(i). Factor z(p).
-5*(p - 2)*(p - 1)**3*(p + 1)
Suppose -10*j**4 + 45*j**5 - j - 27*j**2 - 45*j**3 + j + 37*j**2 = 0. What is j?
-1, 0, 2/9, 1
Suppose 5*i - 3 = g, i + 11 = 4*g + 4*i. Let -3/4*r - 1/2 - 1/4*r**g = 0. Calculate r.
-2, -1
Let a(u) be the first derivative of -3 + 0*u + 1/240*u**6 + 0*u**3 - u**2 + 0*u**5 - 1/48*u**4. Let f(i) be the second derivative of a(i). Factor f(g).
g*(g - 1)*(g + 1)/2
Let l(s) be the third derivative of s**6/360 - s**5/60 + s**4/24 + s**3/3 - 2*s**2. Let u(a) be the first derivative of l(a). Determine g so that u(g) = 0.
1
Let o be 3 + (-3)/15 + -2. Suppose n = 4*w - n + 2, -20 = -4*n. Factor -4/5*m**3 + 6/5*m**w - o*m + 1/5 + 1/5*m**4.
(m - 1)**4/5
Suppose 5*m - 4 = m. Let d = 0 - -2. Find n such that -d*n**2 - 3 + 2*n - m + 4 = 0.
0, 1
Let h be -4 - -5 - 144/10. Let y = h + 73/5. Factor 6/5*t**2 + 2/5*t**3 + y*t + 2/5.
2*(t + 1)**3/5
Let s(a) be the third derivative of a**7/1260 + a**6/180 + a**5/60 - a**4/12 + a**2. Let t(k) be the second derivative of s(k). Factor t(u).
2*(u + 1)**2
Let t be 4 + 1/1 + -4. What is w in 52*w - 4 - t - 169*w**2 + 3 - 2 = 0?
2/13
Let l = -102 + 6836/67. Let y = 59/268 + l. Factor -1/4*f**3 - 1/4 + 1/4*f**2 + y*f.
-(f - 1)**2*(f + 1)/4
Suppose 3*g = g. Let r be g - (-6)/((-6)/(-2)). Factor r*c - 3*c**3 - 3*c + 4*c**3.
c*(c - 1)*(c + 1)
Let l(y) = -2*y**2 - 5*y + 15. Let r(f) = 2*f**2 + 4*f - 14. Let c(i) = -4*l(i) - 6*r(i). Factor c(z).
-4*(z - 2)*(z + 3)
Factor -97*x - 210*x**2 + 510*x**2 + 5*x**5 - 50*x**4 + 277*x + 65*x**3.
5*x*(x - 6)**2*(x + 1)**2
Let q = 187/728 + 3/104. Let q*m**2 + 6/7*m + 4/7 = 0. Calculate m.
-2, -1
Suppose 0 = 4*h - g - 15, h + 2*h - 16 = -4*g. Suppose 3*r - h*r = -2. Suppose 0*n**r + 0 - 1/4*n**3 + 1/4*n = 0. What is n?
-1, 0, 1
Let u(l) be the first derivative of 0*l**2 + 1 + 1/24*l**4 + 0*l + 1/3*l**3 + 1/360*l**6 - 1/60*l**5. Let m(f) be the third derivative of u(f). Factor m(w).
(w - 1)**2
Let x(r) be the first derivative of 0*r + 9/5*r**5 + 15/4*r**4 - 6*r**2 - 4*r**3 - 2. Factor x(l).
3*l*(l - 1)*(l + 2)*(3*l + 2)
Suppose 1 = -5*g + 16. Let 3*p**3 - g*p**2 - p**3 - p**3 + 4*p**2 = 0. Calculate p.
-1, 0
Suppose -3*o + o = -o. Factor -2/3*n**5 + o + 0*n + 2*n**4 - 2*n**3 + 2/3*n**2.
-2*n**2*(n - 1)**3/3
Let k(j) = 350*j**3 + 755*j**2 + 280*j + 85. Let i(s) = 25*s**3 + 54*s**2 + 20*s + 6. Let h(l) = -85*i(l) + 6*k(l). Factor h(r).
-5*r*(r + 2)*(5*r + 2)
Let v(q) = -q**2 + 3*q + 3. Let g be v(3). Let o be ((-2)/g)/(6/(-18)). Factor i**o + 6*i**3 - 1 - 5*i**3 + 0*i - i.
(i - 1)*(i + 1)**2
Suppose -y + 57 - 55 = 0. Factor 2/7*h**3 + 0*h**y - 4/7 - 6/7*h.
2*(h - 2)*(h + 1)**2/7
Let l(h) be the first derivative of -h**6/30 + 4*h**5/25 - h**4/4 + 2*h**3/15 - 10. Factor l(o).
-o**2*(o - 2)*(o - 1)**2/5
Let y(h) = 7*h**3 - 19*h**2 + 17*h - 5. Let s(w) = -15*w**3 + 39*w**2 - 33*w + 9. Let i(b) = 4*s(b) + 9*y(b). Factor i(g).
3*(g - 3)*(g - 1)**2
Suppose 3*j = 4*r - 26, r = -j - 4 - 0. Let k be j/4*(-8)/6. Factor -5 + o**2 - k*o + 5.
o*(o - 2)
Let y(i) be the second derivative of -i**6/10 + 3*i**4/4 - i**3 - 10*i. Suppose y(z) = 0. Calculate z.
-2, 0, 1
Suppose 3*r - 4 = 44. Let s - 10*s**3 - 3*s - 10*s**3 + r*s**2 - 12*s**3 = 0. What is s?
0, 1/4
Suppose 5*a + 8 = -i, -4*i - 2*a = -8*i + 12. Solve 0 + 1/6*h**i + 0*h = 0.
0
Suppose 0 = -4*q - 2*h + 8, -h - 1 = -5*q - 5. Let w be q