+ (1 + -2)*0. Factor -y + x*y**3 + 0 + y**r - y**3 - 1.
(y - 1)*(y + 1)**2
Let n(q) be the second derivative of 0*q**3 + 1/4*q**4 - 3/20*q**5 + 0*q**2 + 0 - 2*q. Find m, given that n(m) = 0.
0, 1
Let m(u) = u**2 - 1. Let c(p) = -4*p**2 + p + 9. Let w(x) = -c(x) - 5*m(x). Let t(h) = h + 1. Let j(r) = -15*t(r) + 3*w(r). Determine y, given that j(y) = 0.
-3
Let b(u) be the second derivative of u**7/42 - u**6/15 + u**4/6 - u**3/6 - 14*u. Suppose b(v) = 0. What is v?
-1, 0, 1
Determine u so that -2/9 - 4/9*u - 2/9*u**2 = 0.
-1
Let o = 12 + -10. Let -6*p**3 - 8*p + 12 + 15*p**3 - 4*p - 15*p**o = 0. Calculate p.
-1, 2/3, 2
Suppose 7*q - 5 = 6*q. Let -16 + 15*k**4 + 8*k**3 + 5*k**4 - 4*k**2 + 32*k - 4*k**q - 36*k**3 = 0. Calculate k.
-1, 1, 2
Let d(v) be the second derivative of v**6/10 - 9*v**5/10 + 13*v**4/4 - 6*v**3 + 6*v**2 + 12*v. Solve d(g) = 0 for g.
1, 2
Let p(l) = 35*l**2 + 40*l - 25. Let i(y) = -y**2 - y + 1. Let m(k) = -30*i(k) - p(k). Factor m(h).
-5*(h + 1)**2
Let s(v) = 8*v**3 - 5*v**2 - 2*v + 8. Let x(m) = -7*m**3 + 5*m**2 + 3*m - 7. Let y(j) = -2*s(j) - 3*x(j). Factor y(i).
5*(i - 1)**2*(i + 1)
Let j(b) be the first derivative of 0*b - 1 - 3/5*b**5 + 3/2*b**2 + 9/4*b**4 - 3*b**3. Find q, given that j(q) = 0.
0, 1
Let r(b) be the first derivative of -b**8/560 + b**7/175 - b**5/50 + b**4/40 + 3*b**2/2 + 5. Let v(a) be the second derivative of r(a). Factor v(o).
-3*o*(o - 1)**3*(o + 1)/5
Let q be ((-11)/66)/(6/(-9)). Factor 1/4 + q*c**4 + 0*c**3 - 1/2*c**2 + 0*c.
(c - 1)**2*(c + 1)**2/4
Let q(l) be the second derivative of -2/5*l**2 + 0 - 2*l + 3/5*l**3 - 7/30*l**4. Suppose q(g) = 0. Calculate g.
2/7, 1
Factor 0*o**2 + 18/5*o - 6/5*o**3 - 12/5.
-6*(o - 1)**2*(o + 2)/5
Let t(d) be the third derivative of 1/12*d**4 + 0*d**5 - 1/80*d**6 - 2*d**2 + 0*d + 0 + 1/420*d**7 + 0*d**3. Factor t(q).
q*(q - 2)**2*(q + 1)/2
Let w = -19/126 + 2/9. Let a = w - -3/7. Suppose 1/2*l**2 + 1/4*l**5 - a*l**3 - 1/4 + 1/4*l - 1/4*l**4 = 0. Calculate l.
-1, 1
Let b be (-55)/(-135) + -1 + 4/6. Let n(j) be the second derivative of 0 - 3*j - b*j**4 - 4/27*j**3 - 1/9*j**2. Suppose n(l) = 0. What is l?
-1/2
Let q be 2*3*(-2)/(-3). Factor -1 - 4*d**4 + 3*d**q + 2*d**2 + 3*d**3 - 3*d**3.
-(d - 1)**2*(d + 1)**2
Let j(u) be the first derivative of u**4/8 + u**3/3 + 38. Factor j(y).
y**2*(y + 2)/2
Let y be 0 - (3*2)/(-3). Factor 0*b**2 + y*b**2 + 4*b**3 + 2*b**3 + 6*b**3 + 16*b**4.
2*b**2*(2*b + 1)*(4*b + 1)
Let k(v) = 4*v**5 - 18*v**4 + 5*v**3 + 18*v**2 + 2*v. Let s(u) = u**4 - u**3 - u**2. Let x(b) = 2*k(b) + 22*s(b). Solve x(m) = 0 for m.
-1, -1/4, 0, 1, 2
Let d(g) = g**2 - 2*g - 5. Let a be d(4). Suppose -2*x + 2*x**3 + 4*x + 4*x**2 + 0*x**a = 0. What is x?
-1, 0
Factor -6*f + 3/5 + 15*f**2.
3*(5*f - 1)**2/5
Let l = -5 + 11. Determine x so that -29*x - x**4 - 34*x**3 + l*x**4 + 7*x + 4 + 42*x**2 + 5*x**4 = 0.
2/5, 1
Let a be ((-240)/(-66))/(-2) + (-1 - -3). Let a*y**2 - 6/11 - 4/11*y = 0. Calculate y.
-1, 3
Let v be (0/31)/(1 + 1 + 2). Solve 1/4*q**3 + v*q + 0*q**2 + 0 - 1/4*q**4 = 0.
0, 1
Let y(p) be the first derivative of p**3/18 - 5*p**2/6 + 25*p/6 - 14. Suppose y(h) = 0. Calculate h.
5
Let g be (-7)/(-14) - (-3)/(-6). Factor 7/3*x**2 - 1/3*x**5 + 5/3*x**4 - 2/3*x + g - 3*x**3.
-x*(x - 2)*(x - 1)**3/3
Let s = -101909/58 - -1757. Let z = s - -241/174. What is r in 14/3*r**3 + 22/3*r + 32/3*r**2 + z = 0?
-1, -2/7
Suppose 4*f - 32 = 36. Find l, given that -17*l**2 + 24*l - 2*l**3 + f*l**3 + 3*l - 6 - 19*l**2 = 0.
2/5, 1
Let u(q) be the second derivative of -q**5/40 + q**4/6 - q**3/4 + q + 18. What is a in u(a) = 0?
0, 1, 3
Let p be ((20/(-24))/(-5))/((-3)/(-12)). Factor 0 + 0*b - p*b**4 + 2/3*b**2 + 0*b**3.
-2*b**2*(b - 1)*(b + 1)/3
Let z(j) = 7*j**3 + 2*j**2 + 5*j - 2. Let b(s) = s**3 + s**2. Let p = -2 - -8. Let g(c) = p*b(c) - z(c). Factor g(t).
-(t - 2)*(t - 1)**2
Let c(h) be the second derivative of h**7/21 - h**5/5 + h**3/3 + 16*h. Find s such that c(s) = 0.
-1, 0, 1
Let m(b) be the third derivative of -b**5/360 + b**4/72 - b**3/36 - 6*b**2. Factor m(k).
-(k - 1)**2/6
Let v(l) = -2*l**2 + 2*l - 2. Let s(f) = -4*f**2 + 5*f - 5. Let h(z) = -4*s(z) + 10*v(z). Suppose h(d) = 0. Calculate d.
0
Let s = 0 - -5. Suppose s*p + 45 = 4*f, -42 = -3*f + 4*p - 7. Suppose 10/7*v**f + 0 + 2*v**4 - 2*v**2 - 4/7*v - 6/7*v**3 = 0. What is v?
-1, -2/5, 0, 1
Let m = -6713/1970 - -3/394. Let k = -46/15 - m. Factor -k*i**4 + 1/3*i**2 + 1/3*i**3 + 0 - 1/3*i.
-i*(i - 1)**2*(i + 1)/3
Suppose -5*i + 17 + 3 = 0. Suppose i*w - 72 = w. Determine m, given that -6 - w*m - 2 - 23*m**2 + 5*m**2 = 0.
-2/3
Let v = 22 + 2. Let -34*t**3 - 3*t**4 - 2*t**5 - 8*t + v*t**2 + 8*t**3 + 15*t**4 = 0. Calculate t.
0, 1, 2
Let n(t) be the third derivative of -t**5/60 + t**3/6 + 12*t**2. Factor n(y).
-(y - 1)*(y + 1)
Let z(t) be the first derivative of 3*t**5/10 + 9*t**4/2 + 27*t**3 + 81*t**2 + 243*t/2 + 12. Solve z(b) = 0.
-3
Let a be (-4)/10 + 34/10. Suppose 0 = -a*f + 12. Factor 3*o**2 - o - o**2 - f*o**3 + 3*o**3.
-o*(o - 1)**2
Let t(d) be the third derivative of -d**6/180 - d**5/9 - 17*d**4/36 - 8*d**3/9 + d**2 + 31. Solve t(p) = 0 for p.
-8, -1
Let g(u) = u**3 + 4*u**2 + 3*u. Let y be g(-2). Find p such that -5*p**y - 2 + 5*p**2 + p**2 + p = 0.
-2, 1
Let j be 7 + 4/((-120)/198). Factor -2/5*t**3 + 4/5 - 4/5*t**2 + j*t.
-2*(t - 1)*(t + 1)*(t + 2)/5
Suppose 0 + 20 = 4*t. Let a be (-2)/t + (-4)/(-10). Factor -2/3 + 2/3*r**4 + a*r**2 - 4/3*r + 4/3*r**3.
2*(r - 1)*(r + 1)**3/3
Let l be ((-12)/(-21))/((-78)/(-728)). Let -16*r**2 - 12*r**3 + l*r + 28/3*r**4 + 0 = 0. Calculate r.
-1, 0, 2/7, 2
Factor k**2 + 4*k - k**3 - k - 3*k.
-k**2*(k - 1)
Let k(m) = m**3 - 2*m**2 + m. Let t be k(2). Determine o, given that -t*o**3 - o**3 + 0*o**3 + o**3 = 0.
0
Let q be (-12)/(-78) + 28/(-13) - -4. Factor 3/4*y**3 - 9/4*y**q + 0*y + 3.
3*(y - 2)**2*(y + 1)/4
Let v be (2 - (-7)/(-2))/(15/(-20)). Let k(c) be the first derivative of -8/3*c**3 - 2*c - 7/2*c**v - 3 - 3/4*c**4. Find m, given that k(m) = 0.
-1, -2/3
Let a = 0 - 0. Factor -5*p**3 + 4*p**3 + a*p**3 - p**3.
-2*p**3
Factor 7 + 8*b**3 - 4 + b**4 + 1 - 5*b**4 - 8*b.
-4*(b - 1)**3*(b + 1)
Let x(o) be the third derivative of -1/80*o**6 + 0*o + 2*o**2 + 0 + 0*o**3 - 1/120*o**5 - 1/140*o**7 + 0*o**4 - 1/672*o**8. Let x(s) = 0. Calculate s.
-1, 0
Let b = 179/460 - -1/92. Factor 1/5*v**2 + 0 - b*v.
v*(v - 2)/5
Suppose 0 = 3*i - t, i + 0*t - 7 = -2*t. Let q(g) be the first derivative of -1/3*g**3 + i - 4*g + 2*g**2. Let q(y) = 0. What is y?
2
Let c(k) = 1 - k - 1 + 2*k - 2. Let l be c(6). Let -5*h**2 + 4*h**3 + 3*h**2 + 2*h**3 - l*h**3 = 0. Calculate h.
0, 1
Let f be (16/(-10))/((-13)/5). Let v be ((-84)/54)/(-7) + (-56)/819. Factor -18/13*o**2 + 2/13*o + 22/13*o**3 + v - f*o**4.
-2*(o - 1)**3*(4*o + 1)/13
Let m(l) be the third derivative of 1/1440*l**6 + 0*l - 1/3*l**3 - 1/480*l**5 + 0*l**4 + 0 + 2*l**2. Let o(x) be the first derivative of m(x). Factor o(j).
j*(j - 1)/4
Let b = 14 + -6. Let t = -8 + b. Solve 0 + 0*s**2 - 2/3*s**5 + 2/3*s**3 + t*s + 0*s**4 = 0 for s.
-1, 0, 1
Let q be (3 - 5)/((-2)/3). Solve -2*t - 7*t + 3*t**2 + 3*t + q = 0 for t.
1
Let a(d) be the first derivative of d**3/15 - 3*d**2/5 + 9*d/5 + 2. Factor a(f).
(f - 3)**2/5
Let g be (0 + 0 + -1)/1. Let n be g/(-1)*(-15)/(-5). Determine k, given that 10*k**n + 13*k + 32*k**2 - 12*k**4 - 38*k**4 - 5*k = 0.
-2/5, 0, 1
Suppose 14*s - 12*s - 10 = 0. Determine a, given that 10/7*a**2 - 5/7*a - 10/7*a**3 - 1/7*a**s + 5/7*a**4 + 1/7 = 0.
1
Let g = 43/8 + 9/8. Let a(s) be the first derivative of -3 - 137/16*s**4 + 31/6*s**3 + g*s**2 + 2*s + 175/24*s**6 - 8*s**5. Determine o, given that a(o) = 0.
-2/5, -2/7, 1
Let g(x) = x**3 + 4*x**2 + 3. Let d = -8 - -4. Let y be g(d). Determine n, given that 125/2*n**4 + 40*n**2 - 32*n - 8 - 625/2*n**5 + 250*n**y = 0.
-2/5, 2/5, 1
Factor 3*v**3 + 158*v**2 + 21*v - 152*v**2 + 10 - 5*v**3 - 3*v.
-2*(v - 5)*(v + 1)**2
Let y(g) = -22*g**4 + 36*g**3 - 27*g**2 + 6*g + 7. Let x(m) = -15*m**4 + 24*m**3 - 18*m**2 + 4*m + 5. Let s(p) = -7*x(p) + 5*y(p). Factor s(z).
-z*(z - 1)**2*(5*z - 2)
Let i(d) be the first derivative of -d**5/90 + d**3/9 + 2*d**2/9 + 3*d - 5. Let n(u) be the first derivative of i(u). Factor n(q).
-2*(q - 2)*(q + 1)**2/9
Let x(i) be the first derivative of -i**6/15 + 