 -6*c**4 + 0*c**t + 6*c**3 - 2*c**4 + 2*c**2.
-2*c**2*(c - 1)*(4*c + 1)
Let m = 115 + -115. Factor 0*v**4 + m*v**2 + 2/5*v**5 - 2/5*v**3 + 0*v + 0.
2*v**3*(v - 1)*(v + 1)/5
Let f(i) be the third derivative of -i**5/240 - i**4/48 - i**3/24 + 2*i**2. Factor f(b).
-(b + 1)**2/4
Let i be 27/189 + (-8)/(-7). Suppose -27/7*s + 12/7*s**3 + i*s**2 + 6/7 = 0. Calculate s.
-2, 1/4, 1
Let u = 186 - 906/5. Let -u*d - 12/5 - 3*d**2 - 3/5*d**3 = 0. Calculate d.
-2, -1
Suppose -4*g + 31 = 7. Let f(y) = y - 4. Let z be f(g). Find c, given that c**z + 11*c + 3*c**4 + 3*c**3 + c**5 - 11*c = 0.
-1, 0
Let m(c) be the first derivative of -2*c**6/15 - c**5/5 + 5*c - 9. Let v(f) be the first derivative of m(f). Factor v(p).
-4*p**3*(p + 1)
Let u(q) = -4*q**4 + 16*q**3 - 24*q**2 + 11*q + 1. Suppose 0*s - s = 1. Let k(p) = p - 1. Let v(o) = s*u(o) - 5*k(o). Factor v(g).
4*(g - 1)**4
Let y(p) = 4*p**2 + 23*p + 16. Let w(f) = 2*f**2 + 12*f + 8. Let d(t) = -7*w(t) + 4*y(t). Factor d(s).
2*(s + 2)**2
Find j, given that 3 + 3*j - 2*j**2 + 4*j**2 + 0*j**2 - 3*j**3 - 5*j**2 = 0.
-1, 1
Let 10/13 - 2/13*z**2 - 8/13*z = 0. Calculate z.
-5, 1
Let y(k) be the third derivative of 9*k**8/56 + 31*k**7/35 - 139*k**6/60 - 433*k**5/30 + 22*k**4 - 12*k**3 + 9*k**2 + k. Solve y(l) = 0 for l.
-3, 2/9, 1/3, 2
Let v(l) = 2*l**3 - 4*l**2 - 8*l + 8. Let n(r) = -8*r**3 + 17*r**2 + 32*r - 32. Let f(b) = 4*n(b) + 18*v(b). Factor f(c).
4*(c - 2)*(c - 1)*(c + 2)
Let v = -128 + 131. Let g(m) be the first derivative of v*m + 3/5*m**5 - 6*m**2 - 3*m**4 + 6*m**3 - 3. Suppose g(u) = 0. Calculate u.
1
Factor 32/5*d**3 - 288/5 + 384/5*d - 2/5*d**4 - 176/5*d**2.
-2*(d - 6)**2*(d - 2)**2/5
Let n be (0*(-5)/(-25))/(-1). Let i(k) be the first derivative of n*k**2 - 3 + 0*k + 2/27*k**3 - 1/18*k**4. Determine l, given that i(l) = 0.
0, 1
Let d be 1 + -1 + -3 + 5. Let c be d/15 + (-8)/(-40). Find i such that -i**2 + i**3 + 0 - c*i**4 + 1/3*i = 0.
0, 1
Factor -2*p**4 + 20*p**3 - p**4 - 14*p**3.
-3*p**3*(p - 2)
Let m(y) = -y - 1. Let v(a) = -9*a - 1. Let c = -2 + 1. Let n be v(c). Let g(j) = 14*j**2 + 12*j + 8. Let u(z) = n*m(z) + g(z). Factor u(w).
2*w*(7*w + 2)
Let z(s) = 5 + 4 - 2 + 8*s**2. Let l(r) = -51 - 10*r**2 + 45 + 3*r**2. Let d(j) = 7*l(j) + 6*z(j). Factor d(v).
-v**2
Suppose 4*m = -3*b - 40 - 37, 0 = -5*b - 2*m - 133. Let u = -25 - b. Factor -6/5*p**u + 8/5 + 2/5*p**3 + 0*p.
2*(p - 2)**2*(p + 1)/5
Let w = -459/4 + 115. Solve -1/4*x**2 + 0*x - 3/4*x**4 + 0 - w*x**5 - 3/4*x**3 = 0.
-1, 0
Let p(q) be the third derivative of q**5/360 + q**4/144 - q**3/18 + 4*q**2. Factor p(c).
(c - 1)*(c + 2)/6
Factor 1 + 0*d - 1/4*d**2.
-(d - 2)*(d + 2)/4
Let h(k) be the second derivative of k**8/448 - k**7/140 + k**6/480 + k**5/80 + 5*k**3/6 + 4*k. Let g(p) be the second derivative of h(p). Solve g(u) = 0 for u.
-2/5, 0, 1
Let v(d) be the third derivative of 0*d**3 + 0*d + 1/120*d**5 + 0 + 1/480*d**6 + 2*d**2 + 1/96*d**4. Find q such that v(q) = 0.
-1, 0
Suppose 0 = -3*f - 12, 4*r - 3*f + 2*f = 4. Factor 0*b**2 + r*b**3 + 0 - 2/7*b**4 - 2/7*b**5 + 0*b.
-2*b**4*(b + 1)/7
Let u be 15 - (4 - 2)*-1. Let i be -2*(u/(-5) + 3). Suppose -i*r**2 + 0 - 2/5*r - 2/5*r**3 = 0. What is r?
-1, 0
Let t(z) = -88 - 87 + 174 - z. Let q be t(-5). Let 0 + 0*p - 4/3*p**q - 2/3*p**3 - 2/3*p**5 + 0*p**2 = 0. What is p?
-1, 0
Let l(g) be the first derivative of g**4/34 + 8*g**3/51 - 5*g**2/17 - 6. Factor l(p).
2*p*(p - 1)*(p + 5)/17
Suppose -5*j - 3*m = 144, 3*j + 5*m + 33 = -63. Let a be 3/(j/(-6))*3. Factor 0 - 2/3*o**3 + 0*o + 0*o**a + 8/3*o**4.
2*o**3*(4*o - 1)/3
Factor 2 + 0*n - 1/2*n**2.
-(n - 2)*(n + 2)/2
Let n(m) be the second derivative of 7*m**8/1440 - m**7/135 + m**6/270 + m**4/6 - m. Let g(q) be the third derivative of n(q). Factor g(p).
2*p*(7*p - 2)**2/3
Suppose -2*f + 51 = -5*u + 45, 15 = -5*u + 5*f. Factor u - 2/5*b + 9/5*b**3 + b**5 - 1/5*b**2 + 13/5*b**4.
b*(b + 1)**3*(5*b - 2)/5
Let s be ((-12)/(-4))/(3/2). Let -2*p**s + 18*p + 0 + 0 - 2 - 14*p = 0. What is p?
1
Let t(o) be the third derivative of o**5/30 + o**4/12 - 5*o**2. Determine a so that t(a) = 0.
-1, 0
Let m(w) be the third derivative of -2*w**2 + 1/540*w**6 - 1/36*w**4 + 0*w + 1/3*w**3 + 0 + 0*w**5. Let y(g) be the first derivative of m(g). Factor y(n).
2*(n - 1)*(n + 1)/3
Let p(k) = -k**3 + 8*k**2 - 5*k + 1. Let w(d) = d + 1. Let a(v) = -v**2 + 5*v + 7. Let s(r) = a(r) - 6*w(r). Let j(i) = -p(i) - 3*s(i). Factor j(g).
(g - 2)**2*(g - 1)
Let h(q) = -6*q**3 - 14*q**2 - 8*q - 8. Let m be 2/(-3) + 156/18. Let g(v) = -2*v**3 - 5*v**2 - 3*v - 3. Let s(n) = m*g(n) - 3*h(n). Solve s(l) = 0.
-1, 0
Factor -1/2*y**2 - 1/2*y + 0.
-y*(y + 1)/2
Let x(u) be the third derivative of -u**8/112 + 4*u**7/105 - u**6/20 + u**4/24 + 26*u**2. Factor x(d).
-d*(d - 1)**3*(3*d + 1)
Let v(h) be the first derivative of -h**6/50 + 3*h**5/100 + h**4/20 - h**3/10 - 5*h + 3. Let q(n) be the first derivative of v(n). Factor q(f).
-3*f*(f - 1)**2*(f + 1)/5
Let o(j) be the second derivative of j**9/15120 - j**7/2520 + j**4/4 - j. Let g(q) be the third derivative of o(q). Determine h, given that g(h) = 0.
-1, 0, 1
Let g = 90 + -45. Let t = g + -128/3. What is h in 0*h**2 - 5/3*h**5 - t*h**4 + 0*h - 2/3*h**3 + 0 = 0?
-1, -2/5, 0
Let k be ((-8)/(-3))/((-11)/(-99)). Let c = k + -22. Find q, given that -9/2 - 1/2*q**c - 3*q = 0.
-3
Suppose f = 5*c + 666, 544 = 2*c - 6*c - 2*f. Let j = 940/7 + c. Factor -8*r - 50/7*r**3 - j*r**5 + 16/7*r**4 + 16/7 + 76/7*r**2.
-2*(r - 2)**3*(r - 1)**2/7
Let g(u) be the first derivative of -u**6/15 + u**4/6 - 4*u + 3. Let v(t) be the first derivative of g(t). Factor v(n).
-2*n**2*(n - 1)*(n + 1)
Solve -5*j + 4*j**2 - j**3 - 4*j**3 + 2 + 4*j**3 = 0 for j.
1, 2
Let k(o) be the first derivative of -o**7/1260 - o**6/720 + o**5/360 + o**4/144 + o**2 + 5. Let h(q) be the second derivative of k(q). Solve h(i) = 0.
-1, 0, 1
Suppose 3*a**2 + 6*a + 1 + 1 - a**2 + 2 = 0. Calculate a.
-2, -1
Let j(w) = 2*w - w + 3 + 0*w - 2*w. Let d be j(0). Suppose 2*v**2 - 4*v**4 - v**3 + 0*v**3 + 3*v**d + 2*v**4 - 2*v**5 = 0. Calculate v.
-1, 0, 1
Let y(a) be the third derivative of -a**6/210 + 2*a**4/21 - 15*a**2. Let y(m) = 0. Calculate m.
-2, 0, 2
Let y(g) be the second derivative of 5*g**4/16 + 7*g**3/8 + 3*g**2/4 + g. Find w, given that y(w) = 0.
-1, -2/5
Let b be (30 - 35) + -1 + 9. Let -b*p**2 - 3/4*p**3 - 3*p + 0 = 0. Calculate p.
-2, 0
Let a(k) be the third derivative of k**6/300 + k**5/75 + k**4/60 - 17*k**2. Factor a(v).
2*v*(v + 1)**2/5
Let i(o) be the second derivative of o**4/3 - 10*o**3/3 + 8*o**2 + o + 1. Factor i(l).
4*(l - 4)*(l - 1)
Let b be -3*(6/(-21) - 4/(-63)). Factor b*z**3 + 2/9*z**2 + 0*z + 2/9*z**5 + 2/3*z**4 + 0.
2*z**2*(z + 1)**3/9
Let s(m) be the third derivative of -m**8/120 + 19*m**7/525 - m**6/20 + m**5/150 + m**4/30 + 2*m**2. Factor s(n).
-2*n*(n - 1)**3*(7*n + 2)/5
Let d be (12/(-10))/((-4)/10). Solve -d*y**4 + 9*y**3 - 3*y**3 + 7*y - 7*y - 3*y**2 = 0.
0, 1
Let p be ((-36)/8 + 4)*-2 + 3. Factor 1/4*a**p + 3/4*a**3 + 3/4*a**2 + 0 + 1/4*a.
a*(a + 1)**3/4
Factor 0 + 0*y + 0*y**2 - 10/3*y**4 + 2/3*y**3 + 8/3*y**5.
2*y**3*(y - 1)*(4*y - 1)/3
Let o = 18 + -18. Let j(p) be the second derivative of 0*p**3 + o*p**5 + 0*p**4 + 0*p**2 + 0 + 1/45*p**6 - 1/63*p**7 + 2*p. Factor j(y).
-2*y**4*(y - 1)/3
Let g(z) be the second derivative of z**4/96 + z**3/48 - z**2/8 - 5*z. Factor g(d).
(d - 1)*(d + 2)/8
Let r be 4*(2 + 6/(-4)). Determine h, given that 0*h**3 + 2*h**3 + 4*h**r - 4*h**2 - 4*h - 2*h**2 = 0.
-1, 0, 2
Let u(b) = b**3 - 2*b**2 - 3*b + 2. Suppose d - 3*z + 12 = 0, -5 = 2*d - 3*z + 4. Let f be u(d). Let -1/2*l**f - 1/2 - l = 0. What is l?
-1
Suppose 4*w - 40 = -6*f + f, 0 = 3*w - 3*f - 3. Let -w*l**3 + 4 + 6*l + 3*l**3 - 3 + 3 = 0. What is l?
-1, 2
Let t(x) be the second derivative of 0*x**2 + 1/24*x**4 - 3/40*x**5 + 0*x**3 + 0 + x. Factor t(m).
-m**2*(3*m - 1)/2
Let k(r) be the first derivative of 3/2*r + 3 + 3/2*r**3 - 3/8*r**4 - 9/4*r**2. Suppose k(j) = 0. What is j?
1
Let b(c) = -c**3. Suppose 0 = 4*p, -3*u - p = -3*p - 9. Let t(m) = 2*m**3. Suppose 20 = 5*f - f. Let d(a) = f*b(a) + u*t(a). Factor d(s).
s**3
Let n(c) be the second derivative of c**7/168 - c**6/30 - 3*c**5/80 + 5*c**4/24 + c**3/3 + 12*c. Find f such that n(f) = 0.
-1, 0, 2, 4
Let b(c) be the third