-(u - 1)*(u + 1)**3/4
Let i be ((-4)/(-6))/((-32)/(-24) - -2). Suppose 0*c + 0 + i*c**2 = 0. Calculate c.
0
Let l(a) = -2*a**3 + 11*a**2 - 6*a + 9. Let j be l(5). Let 1/5*r**j + 0*r**2 + 1/5*r**3 + 0*r + 0 = 0. Calculate r.
-1, 0
Determine k so that 4/11*k**2 - 2/11*k**4 + 0*k**3 + 0*k - 2/11 = 0.
-1, 1
Let f(c) = -c. Let m(p) = 11*p**2 + 21*p - 5. Let x(s) = -4*f(s) - m(s). Let j(h) = 16*h**2 + 25*h - 7. Let o(g) = 5*j(g) + 7*x(g). Factor o(n).
3*n*(n + 2)
Let b = -15 - -9. Let i be 1/b + (-2)/(-12). Factor -1/3*w**5 + i*w**4 + 0*w**2 + 2/3*w**3 + 0 - 1/3*w.
-w*(w - 1)**2*(w + 1)**2/3
Let a(l) be the first derivative of 0*l + 0*l**2 - 6 + 2/9*l**3. Solve a(s) = 0 for s.
0
Determine h, given that -9/7*h**3 + 0 + 6/7*h**4 + 3/7*h + 0*h**2 = 0.
-1/2, 0, 1
Let c(m) = 4*m**5 + 23*m**4 + 19*m**3 + 11*m**2 - 11*m. Let z(o) = -o**5 - 6*o**4 - 5*o**3 - 3*o**2 + 3*o. Let p(x) = 6*c(x) + 22*z(x). Solve p(s) = 0.
-2, -1, 0
Let z(m) be the third derivative of 4*m**2 + 0*m + 0*m**4 + 0*m**3 - 1/180*m**6 + 0 + 1/45*m**5. Factor z(c).
-2*c**2*(c - 2)/3
Let u = -32/3 + 65/6. Factor 0*x**2 - 1/6*x**3 + 0 + u*x.
-x*(x - 1)*(x + 1)/6
Let a be (8/(-7))/((-570)/399). Determine z so that 2/5*z**3 + 0*z**2 - 6/5*z + a = 0.
-2, 1
Let r(z) be the first derivative of -z**4/7 + 16*z**3/7 - 96*z**2/7 + 256*z/7 - 3. Factor r(g).
-4*(g - 4)**3/7
Let o(p) be the second derivative of p**5/6 - 11*p**4/6 + 16*p**3/9 + 4*p**2 - 5*p. Solve o(v) = 0 for v.
-2/5, 1, 6
Let d(n) be the second derivative of -n**7/42 + n**5/10 - n**3/6 + 2*n. Determine l, given that d(l) = 0.
-1, 0, 1
Let g(l) be the second derivative of l**6/15 - l**5/10 - l**4/6 + l**3/3 - 17*l. Determine n so that g(n) = 0.
-1, 0, 1
Suppose 3*i - 13 = -1. Let l(w) be the first derivative of 2/7*w**3 - 8/7*w - 3 + 0*w**2 - 1/14*w**i. Factor l(n).
-2*(n - 2)**2*(n + 1)/7
Let b(w) be the first derivative of -w**4/12 + w**3/9 + 5*w**2/6 + w + 53. Factor b(x).
-(x - 3)*(x + 1)**2/3
Find c such that 3*c**4 + 2*c**3 - 3*c**3 - c**4 - c**4 = 0.
0, 1
Let m be (1 - -5) + 1 + -2. Let p(v) = -3*v**2 + 3*v - 2. Let s(d) = 7*d**2 - 7*d + 5. Let q(k) = m*p(k) + 2*s(k). Factor q(n).
-n*(n - 1)
Suppose -2*w + 13 - 5 = 0. Solve -4/5*u + 0*u**2 - 2/5 + 4/5*u**3 + 2/5*u**w = 0 for u.
-1, 1
Let b = 8 + -6. Suppose -c + b*c = 13. Determine d so that -14*d**2 - d**5 + c*d**2 - d**3 - 2*d**3 - 3*d**4 = 0.
-1, 0
Let z(d) = -9*d**4 + 11*d**3 - 6*d**2 + 4*d - 4. Let v(s) = s**2 - s + 1. Let k(u) = 4*v(u) + z(u). Determine a so that k(a) = 0.
0, 2/9, 1
Let a(b) = 9*b**3 - b**2 - 6*b. Let q(s) = s**3 - 3*s**2 - 4*s + 6. Let p be q(4). Let v(g) = -10*g**3 + g**2 + 7*g. Let d(j) = p*v(j) + 7*a(j). Factor d(c).
c**2*(3*c - 1)
Let s(q) = -q**3 + 5*q**2 + 6*q - 2. Let l be s(6). Let a = l + 3. Factor 14*h**3 + 32*h**2 - a + 2 + 22*h + 3.
2*(h + 1)**2*(7*h + 2)
Factor 15*c**2 + c**4 - c**4 + 32 + 2*c**4 - 16*c**3 - 64*c + 33*c**2.
2*(c - 2)**4
Let u = 439 - 257. Let x = u - 1272/7. Factor 0*n**2 + 2/7*n**4 - x + 4/7*n - 4/7*n**3.
2*(n - 1)**3*(n + 1)/7
Solve 7/4*m**3 - 1/2*m + 0 - 5/4*m**2 = 0.
-2/7, 0, 1
Let a be 6/(-24)*2/(-4). Let j(o) be the first derivative of a*o**2 + 1/12*o**3 + 0*o - 2. Find s such that j(s) = 0.
-1, 0
Let t(u) be the third derivative of -5*u**8/336 + u**7/14 - u**5/3 - 2*u**2. Find s, given that t(s) = 0.
-1, 0, 2
Let j(z) be the third derivative of -121*z**7/105 - 77*z**6/60 + 4*z**5/3 - z**4/3 - 17*z**2. Suppose j(f) = 0. What is f?
-1, 0, 2/11
Suppose 3*c = -0 + 6. Let n(o) be the third derivative of 0*o - 1/30*o**5 + 0 - 1/6*o**4 - c*o**2 - 1/3*o**3. Find l, given that n(l) = 0.
-1
Let v be 4 + 2 + -6 + 3. Let q(h) be the first derivative of 4/3*h**v + 0*h - 2 + 2/5*h**5 + 5/4*h**4 + 1/2*h**2. Factor q(g).
g*(g + 1)**2*(2*g + 1)
Let k = 2/55557 - 32945311/277785. Let i = 119 + k. Factor 2/5*y**2 - 2/5 - 2/5*y + i*y**3.
2*(y - 1)*(y + 1)**2/5
Suppose -4*o = q + 2, -3 + 1 = o. Let 4*l**2 + 14 - q + 10 - 12*l - 2*l**2 = 0. Calculate l.
3
Let u(d) = 2*d**3 - 5*d**2 + 2*d - 6. Let j be u(5). Let m = -636/5 + j. Factor -m*w**4 - 1/5*w + w**2 - 3/5*w**3 + 0.
-w*(w + 1)*(3*w - 1)**2/5
Factor -4 - 12*f - 1 - 10 + 7*f**2 + 11.
(f - 2)*(7*f + 2)
Let x = -136 + 682/5. Let f(t) be the first derivative of 0*t**3 - 2/25*t**5 + 3 + 2/5*t + 1/5*t**4 - x*t**2. Factor f(b).
-2*(b - 1)**3*(b + 1)/5
Suppose 20 = -2*v + 2*a, 29 = -4*v - 4*a - 51. Let l be (-24)/v*3/12. Factor 0 - l*p**2 - 4/5*p + 2/5*p**3.
2*p*(p - 2)*(p + 1)/5
Let h(t) be the second derivative of t**4/4 - 3*t**3 + 15*t**2/2 - 9*t. Factor h(k).
3*(k - 5)*(k - 1)
Let k be (7/(245/(-10)))/(2/(-28)). Find v such that -2/3*v**2 - 8/9*v**3 + 8/9*v - 2/9*v**k + 8/9 = 0.
-2, -1, 1
Let j(u) be the first derivative of u**4/2 - 8*u**3/3 + 4*u**2 + 5. Factor j(v).
2*v*(v - 2)**2
Find h such that -13*h**5 - 3*h + 20*h**3 - 7*h**5 + 3*h + 5*h**4 - 5*h**2 = 0.
-1, 0, 1/4, 1
Let h(r) = -3*r - 3. Let v be h(-2). Determine y so that 0*y**v + 6*y**2 - 2*y**2 + y**3 + 4*y = 0.
-2, 0
Let o(w) be the second derivative of w**4/48 - w**3/6 + 3*w**2/8 + 4*w. Factor o(p).
(p - 3)*(p - 1)/4
Let x(n) be the second derivative of 1/21*n**4 + 0*n**2 + 1/70*n**5 + 0 + 7*n + 0*n**3. Determine f so that x(f) = 0.
-2, 0
Let u(a) be the second derivative of -2/7*a**2 + 1/21*a**4 + 3*a + 1/70*a**5 - 1/21*a**3 + 0. Factor u(g).
2*(g - 1)*(g + 1)*(g + 2)/7
Let c(p) be the first derivative of -p**7/70 + p**5/10 - p**3/2 + 3*p**2/2 - 4. Let f(z) be the second derivative of c(z). Factor f(t).
-3*(t - 1)**2*(t + 1)**2
Suppose 0*c**4 - 4*c**4 + 6*c**4 - 2*c**5 = 0. Calculate c.
0, 1
Find i, given that -13 + 5*i**5 + 13 + 20*i**5 + 10*i**4 = 0.
-2/5, 0
Let r(l) be the third derivative of -l**8/6720 - l**7/1120 - l**6/480 - l**5/480 + 2*l**3/3 - l**2. Let v(p) be the first derivative of r(p). Factor v(u).
-u*(u + 1)**3/4
Factor 8/3 + 0*q - 2/3*q**2.
-2*(q - 2)*(q + 2)/3
Let k(d) be the third derivative of d**7/60 + d**6/20 + d**5/40 - d**4/24 - 14*d**2. What is q in k(q) = 0?
-1, 0, 2/7
Let n(h) = -2*h - 1. Let u be n(-4). Let q(k) = 0 - k - 2*k + 2 - 6 + k**2. Let p(l) = -l**2 + 3*l + 5. Let b(z) = u*q(z) + 6*p(z). Let b(o) = 0. Calculate o.
1, 2
Let k(z) = 107*z + 25. Let x be k(14). Let l = x + -16721/11. Factor -2/11*t**4 + 16/11*t**3 - 48/11*t**2 - l + 64/11*t.
-2*(t - 2)**4/11
Suppose 5*p = 2*a - 26, 0 = -4*p - 0*p - 16. Determine r, given that 4*r**a + r**5 - 4*r + 2*r**2 - 2*r**4 + 3*r - 4*r**5 = 0.
-1, 0, 1/3, 1
Let x(a) be the third derivative of -a**8/1512 - a**7/189 - a**6/270 + 7*a**5/135 + a**4/36 - a**3/3 - a**2. What is c in x(c) = 0?
-3, -1, 1
Let z(m) be the first derivative of -m**5/5 + 2*m**3/3 - m + 24. Factor z(x).
-(x - 1)**2*(x + 1)**2
Let j be (-49)/(-21) + 2/(-6). Suppose 0 = 2*a - 5*g - 5, a - 4 = -3*a + 4*g. Find y such that -y + 2/3 + a*y**j + 1/3*y**3 = 0.
-2, 1
Suppose 2 = p - 0. Factor 0 - 50*r**4 - 56*r - 140*r**3 - 138*r**p - 2 - 6.
-2*(r + 1)**2*(5*r + 2)**2
Let l be -2 + (-17)/(-3)*12/32. Let j(a) be the first derivative of -l*a**4 + 5/6*a**3 + 2*a + 4 - 2*a**2. Factor j(y).
-(y - 2)**2*(y - 1)/2
Let b(o) be the third derivative of o**8/50400 - o**7/4200 + o**6/900 + o**5/30 - 2*o**2. Let m(x) be the third derivative of b(x). Factor m(l).
2*(l - 2)*(l - 1)/5
Suppose -9*q = -8*q. Let o(x) be the third derivative of 0*x + q + 7/48*x**4 + 1/24*x**5 - x**2 + 1/6*x**3. Factor o(y).
(y + 1)*(5*y + 2)/2
Suppose r = 2*r - 4. Solve 0*v**5 + 12*v**3 + 2*v**5 + 8*v**2 + 9*v**4 - v**r + 2*v = 0 for v.
-1, 0
Suppose 0 = -2*o + 4*o - 6. Let q(l) be the third derivative of -l**2 - 1/180*l**5 + 0 + 0*l + 0*l**o + 1/72*l**4. Factor q(z).
-z*(z - 1)/3
Let z(v) = 188*v**2 + 1144*v + 332. Let w(m) = -29*m**2 - 176*m - 51. Let s(c) = -32*w(c) - 5*z(c). Determine t so that s(t) = 0.
-7, -1/3
Let c(l) be the third derivative of -l**6/240 - l**5/40 - l**4/16 - l**3/12 - 6*l**2. Factor c(m).
-(m + 1)**3/2
Suppose 5*a + 111 - 126 = 0. Let u(v) be the first derivative of a + 0*v + 1/12*v**2 + 1/18*v**3. Factor u(d).
d*(d + 1)/6
Let j(b) be the first derivative of -b**4/4 - 5*b**3/3 + 2*b**2 - 6*b + 6. Let n be j(-6). Solve 8/7*a**2 + n*a**4 + 0*a + 0 + 32/7*a**3 + 18/7*a**5 = 0 for a.
-1, -2/3, 0
Let k(r) be the second derivative of -r**6/30 + 5*r**4/12 - 2*r**2 - 14*r. Find v such that k(v) = 0.
-2, -1, 