et z = -7 + r. Factor z + 0 - 2*p**2 + 0.
-2*(p - 1)*(p + 1)
Suppose -21/2*s + 3/2*s**4 + 27/2*s**2 - 15/2*s**3 + 3 = 0. Calculate s.
1, 2
Let j(m) be the second derivative of -m**7/273 - 4*m**6/195 - m**5/26 - m**4/39 + 23*m. Factor j(w).
-2*w**2*(w + 1)**2*(w + 2)/13
Suppose -2*q + 6 = -4*h, 4*h + 0 = 3*q - 5. Let i(j) = 7*j**2 - 2 - j**2 + 0. Let p(u) = -u**3 - 7*u**2 - u + 3. Let v(k) = h*p(k) - 3*i(k). Factor v(w).
2*w*(w - 1)**2
Let o(w) be the second derivative of -w**8/42 + w**7/105 - 9*w**2/2 - 5*w. Let u(q) be the first derivative of o(q). Factor u(f).
-2*f**4*(4*f - 1)
Let j(r) = -36*r - 7. Let p be j(-7). Let v be 406/p - 4/5. Factor 0 + 0*x**4 + 4/7*x**2 + 2/7*x**5 + 0*x - v*x**3.
2*x**2*(x - 1)**2*(x + 2)/7
Let w(d) = -d**2 + 7*d - 6. Let z be w(4). Suppose 5*m + 4*n = 6, n = -4*m - n + z. Let -4 - a**2 - a**2 - 23 - a**m + 18*a = 0. What is a?
3
Let c be (9 + -6)/(2/(-10)). Let o be (6 + -3)/(c/(-6)). Factor -2/5 - 6/5*a**2 + o*a + 2/5*a**3.
2*(a - 1)**3/5
Let d = -13 - -17. Factor -6*r**3 - 12*r**2 + 24*r**2 + 2*r**4 - r**d - 8*r.
r*(r - 2)**3
Let j(l) be the second derivative of 2*l - l**2 + 1/44*l**4 - 1/330*l**5 - 2/33*l**3 + 0. Let c(a) be the first derivative of j(a). Find u, given that c(u) = 0.
1, 2
Let g(x) = 1 - 6*x**2 - 3 + 6*x**3 + 7 + 6*x**4 - x. Let a(t) = -t**4 - t**3 + t**2 - 1. Let f(c) = 10*a(c) + 2*g(c). Factor f(n).
2*n*(n - 1)*(n + 1)**2
Let k be 2 - (-94)/(-88) - 6/8. Solve 2/11*o**2 + 4/11*o + k = 0 for o.
-1
Let o(a) = 2*a**3 - 2*a**2 + 4*a - 4. Let c(g) = 5*g**3 - 5*g**2 + 8*g - 9. Let p(h) = -4*c(h) + 9*o(h). Determine u, given that p(u) = 0.
-1, 0, 2
Let 18/11*t**4 + 32/11*t**3 + 10/11*t**2 + 0 - 4/11*t = 0. What is t?
-1, 0, 2/9
Suppose 2*x - 2*u = -76, -46 = x - 0*u + u. Let y be ((-8)/x)/(2/3). Find l such that 0*l + y*l**4 + 0 + 2/7*l**3 - 2/7*l**5 - 2/7*l**2 = 0.
-1, 0, 1
Let h(s) be the third derivative of -s**8/3192 + s**6/570 - s**4/228 + 11*s**2. Factor h(b).
-2*b*(b - 1)**2*(b + 1)**2/19
Let q be 1 - 42/(-9) - 3. Let s(z) be the second derivative of 4*z**2 + 5/6*z**4 - 1/10*z**5 - q*z**3 + 2*z + 0. Factor s(u).
-2*(u - 2)**2*(u - 1)
Let k(i) be the third derivative of 0*i - 1/150*i**6 + 1/840*i**8 + 0 - i**2 + 0*i**3 + 1/60*i**4 + 0*i**5 + 0*i**7. Suppose k(u) = 0. What is u?
-1, 0, 1
Let z = 23 - 20. Determine w, given that 0 + 32/3*w**z - 6*w**4 - 4/3*w - 10/3*w**2 = 0.
-2/9, 0, 1
Let p = 221/3024 - 2/189. Let d(z) be the second derivative of 0*z**3 + 0*z**2 + 1/80*z**5 + 0 + 4*z + p*z**4. Factor d(r).
r**2*(r + 3)/4
Let -4*y + 3*y**2 - 11*y + y - 7*y + 18 = 0. What is y?
1, 6
Let y(t) be the second derivative of t**4/30 + 2*t**3/15 - 15*t. Solve y(u) = 0.
-2, 0
Let x(d) = -3*d - 5*d - 5*d**2 + 6 + d**3 + d. Let s be x(6). Find m such that 0*m**2 - m**2 + 2*m + s*m**2 - 1 = 0.
1
Let x(z) = z**3 - 3*z**2 + 2*z. Let c be x(3). Factor -2*o - 6*o**2 - o - c*o**3 + 3*o**3.
-3*o*(o + 1)**2
What is j in j**2 - 2/3 + 1/3*j = 0?
-1, 2/3
Let u be (-10)/8 - (-5)/20. Let h be 9 - 5 - (u - -2). Factor 0*o**2 + 0 + 1/3*o**4 + 0*o - 1/3*o**h.
o**3*(o - 1)/3
Let c = 77 + -153/2. Let d = 0 - -3. Factor -c*t + 0 + t**2 - 1/2*t**d.
-t*(t - 1)**2/2
Let d(l) = -l**2 + 7*l - 6. Let n be d(4). Solve 1 + 2*i**2 - n + 3 = 0.
-1, 1
Determine t so that -13 + 20 - 10 + 9*t**2 - 9 - 3*t**3 = 0.
-1, 2
Suppose 3*k - k = 0. Let f(d) be the first derivative of 2/5*d**3 + 2/5*d**2 - 4 + 1/10*d**4 + k*d. Solve f(i) = 0 for i.
-2, -1, 0
Suppose 102 = 7*m + 67. Let u(n) be the first derivative of -6*n**3 - 1 - 3*n**4 - 3*n - 3/5*n**m - 6*n**2. Factor u(h).
-3*(h + 1)**4
Let k(t) = -3*t**2 + 6*t - 3. Let b(m) = -6*m**2 + 13*m - 7. Let q(z) = 6*b(z) - 13*k(z). Let q(i) = 0. What is i?
-1, 1
Let k(p) be the second derivative of 1/2*p**3 + 0 + 0*p**2 + 4*p + 3/20*p**5 + 1/2*p**4. Factor k(g).
3*g*(g + 1)**2
Let q be (-8)/6 + (-32)/(-6). Let n(l) be the third derivative of 0*l + 1/48*l**4 + 0*l**3 + 1/120*l**5 + 0 + q*l**2. Factor n(w).
w*(w + 1)/2
Let z(u) be the second derivative of 0 + 1/6*u**4 + 0*u**2 + 1/12*u**3 + 11*u. Factor z(p).
p*(4*p + 1)/2
Suppose 9*f - 4*f = 4*v + 30, 0 = 5*f + 5*v + 15. Determine r, given that -1/2*r**f + 0*r + 1/2 = 0.
-1, 1
Let c = 27 - 9. Find y such that -y + y**3 - 18 + c = 0.
-1, 0, 1
Let n = 3 + -1. Suppose -n*r = -4*r + 6. Factor -r*c**2 + 4*c**2 + 0 - 1 + 0.
(c - 1)*(c + 1)
Suppose 3*x - 3*p = -2*x - 6, 3*p = x + 6. Let t(v) be the first derivative of 0*v**2 - 1/12*v**3 - 1 + x*v. Factor t(n).
-n**2/4
Let r(x) be the third derivative of 0 + 4*x**2 + 1/20*x**5 + 0*x + 0*x**3 - 1/4*x**4. Factor r(m).
3*m*(m - 2)
Let w(h) be the second derivative of h**4/12 - 2*h**2 - h. Factor w(x).
(x - 2)*(x + 2)
Let y(i) be the third derivative of 0*i + 0*i**3 - 9*i**2 + 0 - 1/80*i**5 - 1/96*i**4. Factor y(s).
-s*(3*s + 1)/4
Let m(f) = -f**3 - f**2 - 2*f. Let x = 10 + -6. Let g(t) = 2*t**3 + 2*t**2 + 3*t. Let b(u) = x*g(u) + 7*m(u). Suppose b(s) = 0. What is s?
-2, 0, 1
Let u be (-40)/(-22)*66/36. Let 4/3*d**3 + 2/3 + 8/3*d**4 - 5/3*d**5 - u*d**2 + 1/3*d = 0. What is d?
-1, -2/5, 1
Let w be (8/3)/((-8)/(-12)). Suppose -4*t**3 - 4*t**2 + 9*t**2 + 9*t**w + 16*t**2 - 20*t**3 - 6*t = 0. What is t?
0, 2/3, 1
Factor 8/7*j**2 + 4/7 - 2/7*j**3 - 10/7*j.
-2*(j - 2)*(j - 1)**2/7
Solve 14*a**4 - 26*a**2 + 2 - 10 + 4*a**3 - 22*a + 62*a + 8*a**5 - 32*a**3 = 0 for a.
-2, 1/4, 1
Let m(d) be the second derivative of -d**5/10 - d**4/3 - d**3/3 + 4*d. What is p in m(p) = 0?
-1, 0
Let j(b) be the second derivative of 0 - 1/13*b**2 - 1/78*b**4 - 3*b + 2/39*b**3. Factor j(g).
-2*(g - 1)**2/13
Let w(o) = -3*o**4 + 7*o**3 - o**2 + o + 4. Let h(n) = 21*n**4 - 48*n**3 + 6*n**2 - 6*n - 27. Let y(k) = 4*h(k) + 27*w(k). What is z in y(z) = 0?
-1, 0, 1
Let k be 34/(-4) - (-2)/4. Let v = k + 11. Determine w, given that -1/3*w - 1/3*w**v + 2/3*w**2 + 0 = 0.
0, 1
Let y(d) = 10*d + 73. Let q be y(-7). Factor -3*j**3 + q*j + 0*j**2 + 3/2 - 3/2*j**4.
-3*(j - 1)*(j + 1)**3/2
Let q be 12/9 + 40/60. Factor 2/3*h**3 + 2/3 + 2*h**2 + q*h.
2*(h + 1)**3/3
Let r(k) be the second derivative of -k**6 - 23*k**5/10 - 16*k**4/9 - 4*k**3/9 - 3*k. Factor r(x).
-2*x*(3*x + 2)**2*(5*x + 1)/3
Let p be (-459)/340*2/3. Let z = -1/15 - p. Suppose z*o**4 + 5/3*o**2 + 5/6*o + 5/3*o**3 + 1/6*o**5 + 1/6 = 0. What is o?
-1
Factor 2*k**4 + 7*k**3 - 5*k**3 - 4*k**5 + 2*k**5 - 2*k**2.
-2*k**2*(k - 1)**2*(k + 1)
Let o = 211/5 + -1462/35. Let g = 25/7 - 13/7. Factor -12/7*c + o*c**2 + g.
3*(c - 2)**2/7
Let n(q) be the first derivative of -3*q**5/80 + 3*q**4/16 - 3*q**3/8 + 3*q**2/8 + q - 2. Let m(i) be the first derivative of n(i). Suppose m(w) = 0. What is w?
1
Let x(s) be the second derivative of -1/18*s**4 + 0*s**3 + 3*s + 1/10*s**5 + 0*s**2 + 0 + 4/45*s**6. Determine q so that x(q) = 0.
-1, 0, 1/4
Factor -4/5 + 4/5*w + 3/5*w**2.
(w + 2)*(3*w - 2)/5
Let o(q) be the second derivative of -q**5/10 - q**4/6 + q**3/3 + q**2 - 6*q. Factor o(a).
-2*(a - 1)*(a + 1)**2
Let m(o) = -4*o**2 + 9*o + 7. Let a(k) = -5*k**2 + 10*k + 8. Let l(r) = 5*a(r) - 6*m(r). Let g be l(-2). Find c such that 0 - 1 - 4*c + c**g + 5 = 0.
2
Let j be 48/128 + (-2)/(-16). Let j*w**2 - 1/4*w**3 - 1/4*w + 0 = 0. Calculate w.
0, 1
Factor -4*i - 6*i + 6*i**2 + 5*i**2 - 6*i**2.
5*i*(i - 2)
Suppose -2*h - 14 = -3*g, -4*g - 4*h + 14 = -3*g. Let q be 4/g - 32/84. Find b, given that 0*b**2 + q*b**3 + 0 - 2/7*b = 0.
-1, 0, 1
Let t(n) be the second derivative of -n**9/60480 - n**8/26880 + n**7/10080 + n**6/2880 + n**4/2 - 6*n. Let s(p) be the third derivative of t(p). Solve s(i) = 0.
-1, 0, 1
Suppose 0*s + 8 = 4*s + 4*v, -2*s - v + 4 = 0. Let q(n) be the second derivative of -s*n + 1/42*n**4 + 0 - 4/21*n**3 + 4/7*n**2. Factor q(i).
2*(i - 2)**2/7
Let v(w) be the second derivative of -1/66*w**4 + 0 + 0*w**3 + 1/11*w**2 + 3*w. Find n such that v(n) = 0.
-1, 1
Let u be (5/(-3))/((-7)/21). Let n(y) be the first derivative of y**3 + 1/5*y**u + 3/4*y**4 + 1 + 0*y + 1/2*y**2. Factor n(g).
g*(g + 1)**3
Let s(o) = -o + 1. Let p be s(-10). Find c such that -6*c**2 - 22*c**3 + 22*c + 8 - 4 + p*c**2 - 24*c**4 + 15*c**2 = 0.
-1, -2/3, -1/4, 1
Factor 0 + 0*d - 1/2*d**2.
-d**2/2
Suppose -2*w + 0 = -24. Let i = w - 7. Let -y**4 + y**3 - y**3 + 0*y**3 - y**i + 2*y**3 = 0. Calculate y.
-2, 0, 1
Suppose 5*t + 5 - 55 = 0. Let k