3 - 4*s**2 - 19*s - 14. Let o(x) = 17*x**3 - 7*x**2 - 37*x - 27. Let j(l) = -4*o(l) + 7*z(l). Solve j(a) = 0 for a.
-1, 2
Let l(a) be the second derivative of -a**6/120 + a**5/80 + a**4/24 - 4*a. Factor l(v).
-v**2*(v - 2)*(v + 1)/4
Suppose 0 = -4*r + r - 3*s, -5*r - 2*s = -9. Let -12 - 12*c - 6*c**2 + 7*c**r + 4 - 8*c**3 = 0. Calculate c.
-2
Let o(t) = -2*t**2 - 2*t - 13. Let x(k) = -k**2 - k - 6. Let c(y) = 2*o(y) - 5*x(y). Let i be c(0). Factor 1/3*m**i + 0 + 1/3*m**2 + 0*m - 2/3*m**3.
m**2*(m - 1)**2/3
Let k be (-1)/4 + (-120)/(-224). Factor -4/7*q + 2/7 + k*q**2.
2*(q - 1)**2/7
Suppose -15*l + 13*l - 140 = 0. Let g be 1/4*(-112)/l. Find u, given that -3/5*u**5 + u**4 + 0 + u**3 - u**2 - g*u = 0.
-1, -1/3, 0, 1, 2
Let v(a) be the third derivative of -5*a**8/1008 - a**7/42 - a**6/24 - a**5/36 - 16*a**2. Factor v(w).
-5*w**2*(w + 1)**3/3
Find a such that -2/7*a + 2/7*a**3 + 0*a**2 + 0 = 0.
-1, 0, 1
Let 1 + 0*r - 1/4*r**2 = 0. What is r?
-2, 2
Let k be 1 - -2 - 30/10. Find c such that 2/9*c**4 - 2/9*c**2 + 0 + k*c**3 + 0*c = 0.
-1, 0, 1
Suppose 3*c + 8 = c. Let k(i) = -2*i - 4. Let y be k(c). Factor 0*x**2 - 3/4*x**y + 0 + 21*x**5 - 3/2*x**3 + 0*x.
3*x**3*(4*x + 1)*(7*x - 2)/4
Suppose 0 = 4*a + 3*y - 6*y + 7, 3*y = -a + 17. Let u(t) be the first derivative of -t**3 + 1/5*t**5 + 0*t**4 + 0*t - 2 + t**a. Suppose u(b) = 0. What is b?
-2, 0, 1
Factor 1/3*v**2 + 8/3*v + 16/3.
(v + 4)**2/3
Let h(x) be the first derivative of 4*x**5/15 + 2*x**4/3 - 4*x**3/9 - 4*x**2/3 - 7. Solve h(b) = 0.
-2, -1, 0, 1
Let l(p) be the second derivative of -4*p - 1/4*p**4 + 0*p**2 + 3/20*p**5 + 0 + 0*p**3. Factor l(a).
3*a**2*(a - 1)
Find g such that 8/5*g**2 - 4/5 - 4/5*g**4 + 2/5*g + 2/5*g**5 - 4/5*g**3 = 0.
-1, 1, 2
Let u(z) be the second derivative of -3*z**5/100 - z**4/20 + z**3/5 - 6*z. What is k in u(k) = 0?
-2, 0, 1
Let l(u) = -3*u**2 + 13*u - 10. Let m(p) = 35*p**2 - 155*p + 120. Let z(s) = -25*l(s) - 2*m(s). Suppose z(n) = 0. What is n?
1, 2
Let -3*f - 3/5*f**3 + 12/5*f**2 + 6/5 = 0. What is f?
1, 2
Let h(o) be the first derivative of 12*o**5/5 + o**4 - 8*o**3/3 + 21. Factor h(j).
4*j**2*(j + 1)*(3*j - 2)
Suppose -2*a + 5*f = -28, 3*a - 2*f = -0*f + 20. Let w be (a/7)/(2/7). Let 0*m + m**w + 2*m + 0 + 1 = 0. Calculate m.
-1
Let j(h) be the second derivative of -1/21*h**7 + 0*h**5 + h + 0*h**2 + 0 + 1/3*h**4 + 1/3*h**3 - 2/15*h**6. Determine k so that j(k) = 0.
-1, 0, 1
Let t(d) be the first derivative of 2*d**3/3 + 3*d**2/2 + 5*d + 1. Let m(v) = -6*v + 10*v + 2*v - 4*v + v**2 + 4. Let b(h) = -4*m(h) + 3*t(h). Factor b(r).
(r + 1)*(2*r - 1)
Let u = -2201279/38755 + -1/7751. Let k = 57 + u. Factor k*y**2 + 3/5*y**3 + 0 + 3/5*y**4 + 1/5*y**5 + 0*y.
y**2*(y + 1)**3/5
Let n = -1693/2 + 847. Factor u**2 + n*u**5 + 0*u**3 - 1/2*u - u**4 + 0.
u*(u - 1)**3*(u + 1)/2
Suppose -8 = -7*c + 6. Let m(l) = 12*l**5 + 2*l**4 + 18*l**3 - 18*l**2 + 12*l + 2. Let t(p) = p**5 + p**3 - p**2 + p. Let u(a) = c*m(a) - 28*t(a). Factor u(f).
-4*(f - 1)**3*(f + 1)**2
Suppose -u - 2 = 2*u + 2*o, -12 = 2*u + 4*o. Factor 4*m + 1/2*m**u + 8.
(m + 4)**2/2
Let f(j) = 2*j**3 + j**2 + j - 1. Let d be f(1). Suppose g - 14 = -2*s - d*g, -4 = -2*g. Suppose 0*q**2 + 0 + 1/4*q**s - 1/4*q = 0. Calculate q.
-1, 0, 1
Suppose 2*l - 6 = -5*i, 9 - 25 = -4*i + 4*l. Find w, given that -8/3 + 8/3*w - 2/3*w**i = 0.
2
Let s(i) be the first derivative of -i**6/240 - i**5/40 - i**4/16 - i**3/12 - 5*i**2/2 + 1. Let m(x) be the second derivative of s(x). Solve m(z) = 0 for z.
-1
Factor -y - y**2 - 40 + 40.
-y*(y + 1)
Let n(r) = -29*r**2 + 4*r - 1. Let i be n(3). Let u = i - -758/3. Determine d, given that -2*d**2 + u + 0*d - 2/3*d**3 = 0.
-2, 1
Let b be (-5)/10 + (-5)/(-5). Suppose j + 1/2 + b*j**2 = 0. Calculate j.
-1
Let s(d) be the second derivative of 11/3*d**3 + 0 - 6*d + 175/48*d**4 + 49/80*d**5 + 3/2*d**2. Suppose s(p) = 0. What is p?
-3, -2/7
Let a(d) be the first derivative of -d**6/3 + 12*d**5/5 - 7*d**4 + 32*d**3/3 - 9*d**2 + 4*d + 12. Find f, given that a(f) = 0.
1, 2
What is t in 2 + 4/3*t - 2/3*t**2 = 0?
-1, 3
Let d = 6324/2443 + -6/349. What is w in 2*w + 4/7 - d*w**2 = 0?
-2/9, 1
Suppose 13 + 43 = 14*u. Find l, given that 0*l**3 + 3/4*l**2 + 0 + 0*l - 21/4*l**u - 9/2*l**5 = 0.
-1, -1/2, 0, 1/3
Let w = -269/6 + 45. Solve -w*a**2 + 1/6 + 0*a = 0 for a.
-1, 1
Factor 0*d**3 - 2/5*d**4 + 0*d + 4/5*d**2 - 2/5.
-2*(d - 1)**2*(d + 1)**2/5
Let y(l) = -l**2 - l + 1. Let k(i) = -i**2 - 11*i + 6. Let b(h) = k(h) - 6*y(h). Suppose b(s) = 0. Calculate s.
0, 1
Let j(c) be the first derivative of c**6/21 - 6*c**5/35 - c**4/14 + 2*c**3/3 - 8*c/7 - 6. Determine t, given that j(t) = 0.
-1, 1, 2
Let p(v) be the first derivative of -7*v**5/30 - 5*v**4/12 + 2*v**3/3 - v**2 + 1. Let c(g) be the second derivative of p(g). Factor c(w).
-2*(w + 1)*(7*w - 2)
Let w(c) be the third derivative of c**7/840 + c**6/120 + c**5/48 + c**4/48 - 5*c**2. Factor w(u).
u*(u + 1)**2*(u + 2)/4
Let z = 11 - 10. Let f be (-192)/(-90) + z/5. Determine a, given that -f*a**2 + 4/3 - 4*a = 0.
-2, 2/7
Suppose -3*z - 5 = -8*z. Let c(y) be the first derivative of -2*y**2 + 4*y + z + 1/3*y**3. What is x in c(x) = 0?
2
Suppose 0 = 2*p - 3 - 3. Solve 8 + 4*o**p + 4*o + 0*o**3 + 6*o**2 + o**4 - 7 = 0 for o.
-1
Let h(c) be the second derivative of -1/60*c**6 - 3*c - 1/24*c**4 - 1/4*c**3 + 1/2*c**2 + 0 + 3/40*c**5. Factor h(w).
-(w - 2)*(w - 1)**2*(w + 1)/2
Suppose 1 + 3 = -2*n + 5*x, 2*n + 4*x - 14 = 0. Suppose -2 = n*v - 14. Factor -1/2*o + 1/2*o**3 + 0 - 1/2*o**2 + 1/2*o**v.
o*(o - 1)*(o + 1)**2/2
Let r(o) be the second derivative of o**8/3360 + o**7/1260 - o**4/12 - o. Let y(j) be the third derivative of r(j). What is f in y(f) = 0?
-1, 0
Let v be ((-2)/4)/(2/(-56)). Let c be 4/v + (-19)/(-7). Find y such that 5*y**2 + 5*y**2 - c + 7 - 14*y = 0.
2/5, 1
Solve 3*h + h - 21*h**2 - 9*h**4 - 13*h**3 - 17*h**3 + 12 + 8*h = 0 for h.
-2, -1, 2/3
Let h(i) be the third derivative of -1/70*i**7 - 1/20*i**5 + i**3 + 0*i - i**2 + 3/8*i**4 + 0 - 3/40*i**6. Solve h(n) = 0.
-2, -1, 1
Solve 9/2*p**2 + 39/2*p - 15 = 0.
-5, 2/3
Let a(p) be the first derivative of p**3/3 - p**2/2 + 6*p - 1. Let m(d) = 3 - 9*d**2 - 8 + 8*d**2. Let i(l) = -3*a(l) - 4*m(l). Factor i(v).
(v + 1)*(v + 2)
Let g(a) be the third derivative of 0*a + 4*a**2 + 1/12*a**4 - 1/30*a**5 + 0*a**3 + 0. Factor g(n).
-2*n*(n - 1)
Solve c**3 + 5/3*c**4 - 8/3*c - 13/3*c**2 + 4 + 1/3*c**5 = 0 for c.
-3, -2, 1
Let a = 19 - 10. Suppose -4*q = -q - a. Factor 4*x**2 - 3*x + 4*x - q*x - 2*x**3.
-2*x*(x - 1)**2
Let v(l) be the second derivative of l**7/126 - 7*l**6/90 + 3*l**5/10 - 5*l**4/9 + 4*l**3/9 + 2*l. Find m such that v(m) = 0.
0, 1, 2
Let u(o) = o**3 - 5*o**2 - 4. Let b be u(5). Let l be ((-2)/(-4))/((-1)/b). Let -6*a + 15/2*a**2 - l - 2*a**3 = 0. What is a?
-1/4, 2
Suppose -13 = -4*i + d, i - 3*i - d - 1 = 0. Let x(l) = l**2 - l + 5. Let b(n) = 2. Let j(v) = i*x(v) - 5*b(v). Factor j(z).
2*z*(z - 1)
Let h(t) = -t**3 - 20*t**2 - 39*t - 52. Let a be h(-18). Determine c so that -2/5 + 2/5*c**a + 0*c = 0.
-1, 1
Determine d so that 2*d**2 - 7*d**2 + 6*d - 13*d - 180 - 53*d = 0.
-6
Let x(i) be the first derivative of -3 + i**4 + 0*i + 0*i**2 - 2/5*i**5 - 2/3*i**3. Determine z, given that x(z) = 0.
0, 1
Let p be 30/(-12)*(-8)/5. Let n(z) be the second derivative of 3*z + 0 + 0*z**p + 0*z**3 - 1/10*z**5 + 0*z**2 + 1/6*z**6. Suppose n(f) = 0. What is f?
0, 2/5
Let z(j) be the first derivative of 5*j**4/14 + 4*j**3/21 - 11*j**2/7 - 16*j/7 + 20. Factor z(l).
2*(l + 1)**2*(5*l - 8)/7
Let v(g) be the third derivative of g**6/180 - g**5/45 + 7*g**2. Factor v(a).
2*a**2*(a - 2)/3
Let f be 0/(-12) + (-1 - -1). Let d(i) be the second derivative of -2*i - 1/10*i**5 + f - 1/3*i**3 + 0*i**2 - 1/3*i**4. Find c such that d(c) = 0.
-1, 0
Let g = -540 - -540. Solve 0*p**2 + 2/7*p + g - 2/7*p**3 = 0 for p.
-1, 0, 1
Let z = -1 + 3. Find w such that 4*w**2 - 4*w**4 - z*w + 0*w**3 + 2*w**5 + 0*w**2 + 0*w**3 = 0.
-1, 0, 1
Let v(m) = m**2 - 3*m + 4. Let l be v(3). Let f(s) be the second derivative of 0 + 3*s - 1/90*s**5 + 0*s**2 - 1/54*s**l + 0*s**3. Factor f(y).
-2*y**2*(y + 1)/9
Let c = 59 + -57. Let a(f) be the second derivative of 0*f**c + 0 + 2/3*f**3 + 1/6*f**4 - 2*f. Find b such that a(b) = 0.
-2, 0
Let n(m) be the third der