)*(h + 2)/7
Let v be (-1 - -3 - 2)/(-4 - -2). Factor v - 1/3*y + 1/3*y**2.
y*(y - 1)/3
Find d such that 15*d**3 + 10*d**4 + 33*d**3 + 10 - 20*d**2 - 61*d + 13*d = 0.
-5, -1, 1/5, 1
Solve 0*k + 2/5*k**4 - 4/5*k**2 + 2/5*k**3 + 0 = 0.
-2, 0, 1
Factor 0 - 7/2*j**3 + 5/2*j**4 + 0*j + j**2.
j**2*(j - 1)*(5*j - 2)/2
Let f(t) be the second derivative of t**2 + 0 + 0*t**3 - 3*t - 1/6*t**4. Find n such that f(n) = 0.
-1, 1
Factor -66*i**3 + 8 - 44*i - 14*i**2 + 27*i**4 - 15*i**3 - 12*i**2 + 116*i**2.
(i - 1)*(3*i - 2)**3
Let y(j) be the second derivative of -j**9/1512 + j**8/420 - j**6/90 + j**5/60 - j**3/3 + j. Let z(g) be the second derivative of y(g). Factor z(s).
-2*s*(s - 1)**3*(s + 1)
Let b = -5377/11 - -489. Solve 0*r + b*r**4 - 2/11*r**2 + 0 + 2/11*r**5 - 2/11*r**3 = 0 for r.
-1, 0, 1
Factor 2*o**4 + o**2 + 3*o**5 - 5*o**3 + 3*o + 3*o - 4*o - 3*o**4.
o*(o - 1)**2*(o + 1)*(3*o + 2)
Let k(f) be the second derivative of 2*f + 1/120*f**5 - 1/72*f**4 + 0*f**2 + 0*f**3 + 0. Let k(l) = 0. Calculate l.
0, 1
Suppose 18*v - 57 + 21 = 0. Factor 1/3*w - 1/3*w**v + 0.
-w*(w - 1)/3
Let s(p) be the third derivative of -2*p**8/21 - 4*p**7/105 + p**6/6 - p**5/15 - 12*p**2. Determine q so that s(q) = 0.
-1, 0, 1/4, 1/2
Let p(g) = -g**3 - 14*g**2 - 2*g - 25. Let w be p(-14). Let t(m) be the second derivative of 0*m**w + 0*m**2 + 1/66*m**4 - 3*m + 0. Let t(s) = 0. What is s?
0
Let b be 2 - (4/2)/2. Factor 2*c**2 + b - c - 3*c + 1.
2*(c - 1)**2
Let l(n) = -n - 7*n**3 + n - 2*n**3 + 17*n**4. Let h(r) = -r**4 - 2*r**3 + 0*r**4 + 5*r**4. Let u(z) = 26*h(z) - 6*l(z). Find b, given that u(b) = 0.
-1, 0
Let c(o) be the third derivative of o**5/40 + o**4/8 + o**3/4 + 2*o**2. Factor c(g).
3*(g + 1)**2/2
Let d = -46/105 - -58/15. Factor 8/7 + 18/7*w**2 + d*w.
2*(3*w + 2)**2/7
Let i(h) be the third derivative of h**8/168 - h**6/30 + h**4/12 - 3*h**2. Solve i(k) = 0 for k.
-1, 0, 1
Let g(i) = i**4 - i**3 + i**2. Let d(w) = 3*w**4 - 19*w**3 + 35*w**2 - 28*w + 8. Let j(f) = -d(f) - g(f). Factor j(v).
-4*(v - 2)*(v - 1)**3
Let z(c) = 13*c**5 + 28*c**4 + 24*c**3 + 16*c**2 - 7*c - 7. Let b(j) = 4*j**5 + 9*j**4 + 8*j**3 + 5*j**2 - 2*j - 2. Let m(u) = -7*b(u) + 2*z(u). Factor m(i).
-i**2*(i + 1)**2*(2*i + 3)
Let p = 3062/15 + -204. Let t(v) be the second derivative of -p*v**3 - v + 1/30*v**4 + 0 + 1/5*v**2. Suppose t(k) = 0. Calculate k.
1
Let w(l) = 12*l**3 + 53*l**2 + 36*l - 108. Let a(u) = 4*u**3 + 18*u**2 + 12*u - 36. Let o(m) = -7*a(m) + 2*w(m). Factor o(h).
-4*(h - 1)*(h + 3)**2
Let k be 0 + -2 + 0/(-6). Let p(t) = -2*t**3 - 3*t**2. Let x be p(k). Determine o, given that 0 + 2/7*o**x + 2/7*o**5 + 0*o - 2/7*o**2 - 2/7*o**3 = 0.
-1, 0, 1
Let k(x) be the third derivative of x**7/140 + x**6/80 - x**2. Factor k(c).
3*c**3*(c + 1)/2
Let l(y) = 7*y**2 - 12*y + 4. Let z(t) be the first derivative of -t**2/2 - 1. Let k = -84 - -80. Let w(q) = k*z(q) - l(q). Determine s, given that w(s) = 0.
2/7, 2
Let l(c) be the second derivative of -c**7/147 + c**6/105 + c**5/35 - 7*c. Let l(o) = 0. Calculate o.
-1, 0, 2
Let l(a) be the first derivative of -a**4/10 - 4*a**3/15 - a**2/5 + 3. What is r in l(r) = 0?
-1, 0
Let v(o) = o**2 - 7*o + 15. Let r be v(4). Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**4 + w - 1/30*w**5 + 0*w**r + 1/45*w**6. Factor m(p).
2*p**3*(p - 1)/3
Suppose 2*g + 4 = 0, 2*g + 34 = 3*n - 60. Let k be 1/(-3)*n/(-20). Solve 1/2*m**2 - k*m + 0 - 1/2*m**4 + 1/2*m**3 = 0 for m.
-1, 0, 1
Let i(k) = 2*k**4 + 15*k**3 - 7*k**2 + 3*k - 4. Let h(v) = v**4 + 7*v**3 - 3*v**2 + v - 2. Let p(t) = 9*h(t) - 4*i(t). Factor p(n).
(n - 1)*(n + 1)**2*(n + 2)
Let o(k) = k**3 - 15*k**2 - 15*k - 10. Let l be o(16). Find m such that -6 - 3/2*m**2 + l*m = 0.
2
Let x = -275 + 275. Let 0*y**2 - 1/5*y**4 + x + 1/5*y**5 + 0*y**3 + 0*y = 0. Calculate y.
0, 1
Let h(s) be the first derivative of -2*s**5/35 + 3*s**4/7 - 8*s**3/7 + 8*s**2/7 - 1. Factor h(x).
-2*x*(x - 2)**3/7
Let q(a) = 14*a**4 + 2*a**3 + 2*a**2 + 14*a + 8. Suppose 27 = -3*i + 3. Let k(b) = -9*b**4 - b**3 - b**2 - 9*b - 5. Let v(u) = i*k(u) - 5*q(u). Factor v(f).
2*f*(f - 1)**2*(f + 1)
Determine z so that 8/5*z + 2/5*z**2 + 6/5 = 0.
-3, -1
Suppose -4*v = -2*w - v + 5, -v = 4*w - 17. Let p = w + -4. Factor 3*z - 3*z**2 - 3*z**3 + p*z**3 + 3 - 3 + 3.
-3*(z - 1)*(z + 1)**2
Let x be -15 - -3 - (-4 - -3). Let s be 11/3 + 33/x. Factor 0*a + 2/3*a**2 - s.
2*(a - 1)*(a + 1)/3
Suppose 5*u - 4*z = 22, -2*u = -0*z + z - 1. Solve -u*m + 2*m**2 - 2/3*m**3 + 2/3 = 0.
1
Let n = 6 + -4. Let b(j) be the third derivative of 4*j**n + 1/20*j**6 + 0 + 0*j + 0*j**3 + 1/8*j**4 + 3/20*j**5. Factor b(g).
3*g*(g + 1)*(2*g + 1)
Suppose -128 + 127 + 165*p + 25*p**2 - 69 = 0. Calculate p.
-7, 2/5
Let w(n) = 5*n**3 + 3*n**2 - 4*n - 4. Suppose -1 = -2*h + 7. Let b(j) = -4*j**3 - 2*j**2 + 3*j + 3. Let l(i) = h*b(i) + 3*w(i). Solve l(c) = 0.
0, 1
Solve -7*i - 3*i**3 - 16*i**2 + 4*i**3 - 3*i**3 - 25*i = 0.
-4, 0
Let x = 855/4763 + 1/433. Let n = -56/11 + 6. Let n*z**3 - 2/11 + 4/11*z**4 - x*z + 6/11*z**2 = 0. What is z?
-1, 1/2
Suppose 3*q = -0*q + 9. Factor r - 2*r**q + r**3 + 8 - r**2 - 7.
-(r - 1)*(r + 1)**2
Let t = 779/7 + -111. Let r(h) be the first derivative of 0*h**2 + 2/21*h**3 + 1 - t*h. Factor r(p).
2*(p - 1)*(p + 1)/7
Let s(w) be the first derivative of -w**6/90 + w**5/60 + 6*w + 5. Let o(m) be the first derivative of s(m). Solve o(u) = 0.
0, 1
Let n = 52039/1176 - 1055/24. Let c = n - -2/49. What is b in -b**3 + b**5 + 1/3*b**4 - c*b**2 + 0*b + 0 = 0?
-1, -1/3, 0, 1
Solve 14*v**4 + 50*v**2 - 2 - 36*v**2 + 3 + 16*v**3 + 6*v - 5*v**4 + 2*v**5 = 0.
-1, -1/2
Let v be ((-1)/2)/(1/(-6)). Suppose 4*u - 9 = v. Solve u*l**2 - 2*l - 2*l**2 + l**2 = 0 for l.
0, 1
Let h = -2 - -4. Factor 0 + 1/4*y**3 - 1/4*y + 0*y**h.
y*(y - 1)*(y + 1)/4
Suppose -4*f - 2*c + 13 + 7 = 0, 0 = -3*f - 5*c + 29. Factor -a**4 - 5*a**f - 1 + 5*a**3 + 3*a**2 - a**2.
-(a - 1)**2*(a + 1)**2
Let a = -14 - -17. Let m(g) be the first derivative of -9/2*g**4 + 8*g**a - 1 + 0*g - 4*g**2. Determine i so that m(i) = 0.
0, 2/3
Let c(f) be the third derivative of -f**2 + 0 + 3/80*f**5 + 1/3*f**3 + 3/160*f**6 + 0*f + 1/32*f**4. Let y(j) be the first derivative of c(j). Factor y(k).
3*(3*k + 1)**2/4
Let y(g) = -18*g**3 - 7*g**2 + 3*g - 3. Let k(r) = -54*r**3 - 22*r**2 + 10*r - 10. Let q(f) = 3*k(f) - 10*y(f). Solve q(j) = 0.
-2/9, 0
Determine z, given that -4*z + 22*z**3 + 4*z**5 - 8*z**4 - 22*z**3 + 8*z**2 = 0.
-1, 0, 1
Let v be ((9/(-10))/(-3))/((-12)/(-32)). Factor v*x**2 - 4/5 + 2*x**3 - 2*x.
2*(x - 1)*(x + 1)*(5*x + 2)/5
Let u(b) be the second derivative of b**8/336 - b**6/120 - 3*b**2/2 + 2*b. Let p(n) be the first derivative of u(n). Factor p(v).
v**3*(v - 1)*(v + 1)
Factor 484/5*y + 92/5*y**3 - 572/5*y**2 + 0 - 4/5*y**4.
-4*y*(y - 11)**2*(y - 1)/5
Factor -8*r + 9*r**2 + 3*r - r - 3*r**3.
-3*r*(r - 2)*(r - 1)
Let x be (-110)/(-25) - (-6)/10. Suppose 3*w - 11 = -x. Suppose 0*q + 2*q**2 - 2*q - 2*q + 0*q**w = 0. Calculate q.
0, 2
Let j(k) be the first derivative of -k**6/24 + k**5/20 - 9. Determine f so that j(f) = 0.
0, 1
Let z(x) be the third derivative of x**6/120 - x**4/24 - 7*x**2. Let z(c) = 0. Calculate c.
-1, 0, 1
Let t(s) be the second derivative of -s**6/6 + s**5/2 + 5*s**4/12 - 5*s**3/3 + 9*s. Factor t(l).
-5*l*(l - 2)*(l - 1)*(l + 1)
Factor 3/7*v**2 + 27/7 - 18/7*v.
3*(v - 3)**2/7
Let s(a) be the second derivative of a**8/13440 - a**6/480 + a**5/120 - a**4/6 - 4*a. Let c(g) be the third derivative of s(g). Factor c(x).
(x - 1)**2*(x + 2)/2
Let w(q) be the first derivative of 0*q**3 + 0*q - 3/10*q**5 + 0*q**4 - 1/8*q**6 - 4 + 0*q**2. Let w(o) = 0. What is o?
-2, 0
Let z(h) be the third derivative of -h**5/240 + h**3/24 - 9*h**2. Factor z(y).
-(y - 1)*(y + 1)/4
Let s(c) be the third derivative of c**6/360 - c**5/60 + c**3/3 + c**2. Let f(z) be the first derivative of s(z). Let f(t) = 0. Calculate t.
0, 2
Let u(o) be the second derivative of 3*o**5/20 - o**4/2 - o**3/2 + 3*o**2 - 4*o. Let u(m) = 0. Calculate m.
-1, 1, 2
Let t = 1528/2283 - 2/761. Factor t*q + 8/3*q**2 + 0.
2*q*(4*q + 1)/3
Solve 0 + r**3 - 3*r + 1/2*r**4 - 5/2*r**2 = 0.
-3, -1, 0, 2
Factor 1/5*y**3 + 1/5*y**2 + 0 - 6/5*y.
y*(y - 2)*(y + 3)/5
Let v be 1 - 15/(-5) - 0. Let n(h) be the second derivative of -1/12*h**v - 2*h