0. Calculate p.
-2, 0, 1
Let p be 2/(-4)*(-2 + -2). Suppose 0 = -0*d + p*d. Find o, given that d*o**2 - 3*o**2 - 6*o + 1 - 1 = 0.
-2, 0
Suppose 0 = q + 2*q + 18. Let w(a) = -a - a**2 + a + 1. Let x(t) = -4*t**2 + 4. Let s(d) = q*w(d) + x(d). Solve s(m) = 0 for m.
-1, 1
Let z be (-25)/10*12/10. Let h = z - -7. Solve 3*j**h - j**4 + j**4 = 0.
0
Solve -2/3*w**2 + w - 1/3*w**5 + w**4 - 2/3*w**3 - 1/3 = 0 for w.
-1, 1
Let g(i) = i**2 + 14*i. Let b(c) = -c. Let t(l) = -14*b(l) - 2*g(l). Factor t(x).
-2*x*(x + 7)
Let z(s) = -11*s**2 - 24*s + 16. Let h(w) = 12*w**2 - 8 + 10*w + 2*w - 6*w**2. Let m(f) = 5*h(f) + 2*z(f). Determine c so that m(c) = 0.
-2, 1/2
Let n(q) = 3*q**4 + 2*q**3 + 3*q**2 + 2*q - 2. Let y(c) = -c**4 + c**3 + c**2 + 1. Let m(d) = n(d) + 2*y(d). Factor m(j).
j*(j + 1)**2*(j + 2)
Let a(z) be the second derivative of -z**6/75 - 3*z**5/25 - 3*z**4/10 - 4*z**3/15 - 6*z. Factor a(c).
-2*c*(c + 1)**2*(c + 4)/5
Let o be (-3)/2*(-8)/30. Let d(s) be the first derivative of 1 - o*s - 2/15*s**3 + 2/5*s**2. Let d(m) = 0. What is m?
1
Factor -1/7*j**2 + 5/7*j - 4/7.
-(j - 4)*(j - 1)/7
Let -1/2 + 1/6*g**3 - 1/6*g + 1/2*g**2 = 0. Calculate g.
-3, -1, 1
Let y(v) be the third derivative of v**8/168 + v**7/35 - v**6/60 - v**5/10 - 2*v**2 - 3. Suppose y(z) = 0. What is z?
-3, -1, 0, 1
Solve -2/3*p + 0 + 1/3*p**4 + 0*p**3 - p**2 = 0.
-1, 0, 2
Let p(t) be the first derivative of 3/4*t**4 + 3*t**3 - 3/5*t**5 - 3/2*t**2 - 6 - 6*t. Solve p(v) = 0 for v.
-1, 1, 2
Let u be -14*1*(-172)/6622. Factor 2/11 + 4/11*g**3 - u*g + 0*g**2 - 2/11*g**4.
-2*(g - 1)**3*(g + 1)/11
Suppose -3*p - 4*p + 28 = 0. Let t(w) be the second derivative of -4/3*w**3 + 1/6*w**p + w + 0 + 4*w**2. Find u such that t(u) = 0.
2
Let p be (4 - 4) + 1 + 5. Let b(c) be the third derivative of 0 + 0*c + 1/6*c**4 + 1/3*c**3 + 0*c**5 - 1/105*c**7 - 1/30*c**p + c**2. Factor b(h).
-2*(h - 1)*(h + 1)**3
Suppose -2*s = a + 3*s - 14, 4*a - s - 56 = 0. Suppose 0 = 4*j - z - 4, j - 3*z - z + a = 0. What is d in -3*d**4 + d**5 + 0*d**2 + d**3 - d**2 + j*d**3 = 0?
0, 1
Let u(s) = -s**2 - 2*s - 4. Let l(i) = 0 + 5 - 4. Let n(o) = 4*l(o) + u(o). Factor n(z).
-z*(z + 2)
Let d be (1 + 1)/((-4)/6). Let h(w) = -2*w - 4. Let g be h(d). Solve -4/7 + g*a - 10/7*a**2 = 0.
2/5, 1
Let p(h) = -5*h**3 + 6. Let o(l) = -l**3 + 1. Let r(x) = -30*o(x) + 5*p(x). Factor r(y).
5*y**3
Find s, given that 2/5*s**2 + 8/5*s - 24/5 = 0.
-6, 2
Let o(l) = -4*l**2 + 3*l - 1. Let g(s) = s**2 - 3 - 7 - 2*s**2 + 9. Let v(r) = g(r) - o(r). Factor v(a).
3*a*(a - 1)
Let m = 314/1485 + -4/135. Factor 0*f + m*f**4 + 0 - 2/11*f**3 - 4/11*f**2.
2*f**2*(f - 2)*(f + 1)/11
Let j = -6200/7 - -886. Solve 2/7*u**3 - j*u**2 + 2/7 - 2/7*u = 0 for u.
-1, 1
Let y(c) = -11*c**4 + 2*c**3 + 5*c**2 - c + 5. Let z(s) = 2*s**4 - s**3 - s**2 + s - 1. Let p(k) = y(k) + 5*z(k). Find q such that p(q) = 0.
-2, 0, 1
Let h = -413/6 - -66. Let y = h - -25/6. Factor 0*c**3 + y*c**4 - 2/3*c**5 - 4/3*c**2 + 2/3*c + 0.
-2*c*(c - 1)**3*(c + 1)/3
Let s(d) be the second derivative of 0 + 1/90*d**5 + 2*d + 0*d**2 + 1/27*d**4 + 1/27*d**3. Factor s(m).
2*m*(m + 1)**2/9
Let b(x) be the second derivative of 17*x**5/40 - 2*x**4/3 - x**3/12 + 18*x. Factor b(c).
c*(c - 1)*(17*c + 1)/2
Let k(u) be the first derivative of 5*u**4/24 + 10*u**3/9 - 55*u**2/12 + 5*u - 20. What is s in k(s) = 0?
-6, 1
Let s(t) be the second derivative of 0*t**2 + 1/3*t**3 + 1/6*t**4 + 0 - 2*t. Factor s(b).
2*b*(b + 1)
Factor 1/2*c**3 - 2/3*c + 0 - 2/3*c**4 + 1/6*c**5 + 2/3*c**2.
c*(c - 2)**2*(c - 1)*(c + 1)/6
Let h(a) be the third derivative of -5*a**8/84 + 4*a**7/105 + a**6/3 - 4*a**5/15 - 5*a**4/6 + 4*a**3/3 + 17*a**2. Find b such that h(b) = 0.
-1, 2/5, 1
Factor 3*g**2 - g + 12 + 4*g - 11 + 2*g**3 - g**3.
(g + 1)**3
Let g = 37 + -34. Let a(k) be the second derivative of 0 + 2/3*k**g + 1/20*k**5 + 0*k**2 + 1/3*k**4 + 3*k. Determine m so that a(m) = 0.
-2, 0
Factor -1/3*f**5 - 2/3*f**2 + f + f**4 - 2/3*f**3 - 1/3.
-(f - 1)**4*(f + 1)/3
Find j such that 32/5*j - 12/5*j**2 + 16/5*j**4 - 48/5*j**3 + 12/5 = 0.
-1/2, 1, 3
Let n(i) = 6*i - 40. Let d be n(7). Factor 3/4 + 1/4*u**d + 5/4*u - 1/4*u**3.
-(u - 3)*(u + 1)**2/4
Let -12*k - 75*k**3 - 58*k**2 - 37*k**2 + 35*k**2 = 0. Calculate k.
-2/5, 0
Let m(w) be the first derivative of 3*w**7/56 - w**6/5 + 21*w**5/80 - w**4/8 + w + 1. Let s(x) be the first derivative of m(x). Factor s(g).
3*g**2*(g - 1)**2*(3*g - 2)/4
Let a = 0 + 2. Suppose 1 - 11 = -a*z, -3*z = -4*m - 15. Find l, given that -6/5*l**4 + m*l + 4/5*l**2 + 0 + 2/5*l**3 = 0.
-2/3, 0, 1
Suppose 9 = 2*k - d, 5*d + 15 = -2*k - 3*k. Factor -4*j**k - 2*j**2 - 2*j - j.
-3*j*(2*j + 1)
Factor -2/13*y**2 - 2/13*y**4 + 0*y + 0 + 4/13*y**3.
-2*y**2*(y - 1)**2/13
Let h(p) be the third derivative of p**6/120 - p**5/40 + 7*p**3/6 - 4*p**2. Let d(n) be the first derivative of h(n). Factor d(a).
3*a*(a - 1)
Let k(w) = 8*w**5 - 15*w**4 + 18*w**3 - 5*w**2 - 3. Let v(c) = 65*c**5 - 120*c**4 + 145*c**3 - 40*c**2 - 25. Let t(z) = 25*k(z) - 3*v(z). What is a in t(a) = 0?
0, 1
Let l = 1 + 4. Suppose 2*f = -f + 6. Find i such that 2 + f*i - 8*i**2 + 2*i - l*i - i + 8*i**3 = 0.
-1/2, 1/2, 1
Suppose -1 + 11 = 5*v. Find s, given that -2 + s**2 - 4*s**v + 0*s**2 + 7*s**2 - 2*s**4 = 0.
-1, 1
Suppose -8*o + 65 = 49. Suppose 0 - u**o - 1/2*u**3 - 1/2*u = 0. What is u?
-1, 0
Let f(c) be the first derivative of c**6/60 + c**5/40 - c**4/24 - c**3/12 + 3*c + 3. Let m(i) be the first derivative of f(i). Factor m(t).
t*(t - 1)*(t + 1)**2/2
Let g(o) be the second derivative of o**5/80 - o**3/24 + 7*o. Suppose g(v) = 0. Calculate v.
-1, 0, 1
Let q(j) be the second derivative of -j**6/900 + j**5/75 - j**4/20 - 3*j**2/2 + 3*j. Let c(n) be the first derivative of q(n). Find z such that c(z) = 0.
0, 3
Let c be (-6)/(-8) + (-2)/4. Let w be (596/(-2682))/((-2)/(6*3)). Find f, given that -f - 1/4 - c*f**4 - f**3 - 3/2*f**w = 0.
-1
Factor 1/3*l**2 - 2/3 + 1/3*l.
(l - 1)*(l + 2)/3
Let q be -1*(16/(-4) + 16). Let n be (-14)/(-6) - (-4)/q. Factor 0*y**n - 1/3*y + 1/3*y**3 + 0.
y*(y - 1)*(y + 1)/3
Let r(c) be the third derivative of 0*c + 0*c**4 + 0 - 1/20*c**5 + c**2 + 0*c**3. Factor r(t).
-3*t**2
Determine y, given that 0 + 15/7*y**4 - 15/7*y**2 + 6/7*y**3 - 6/7*y = 0.
-1, -2/5, 0, 1
Let i be (-73550)/(-66) + 6/18. Let y = -1114 + i. Factor -y*s - 2/11*s**4 - 8/11*s**3 - 12/11*s**2 - 2/11.
-2*(s + 1)**4/11
Factor 5*q**5 + 9*q**4 - 408*q**2 - 5*q**3 + 398*q**2 + q**4.
5*q**2*(q - 1)*(q + 1)*(q + 2)
Factor -2*u**5 - 94*u**4 + 94*u**4 - u**5.
-3*u**5
Suppose -2*k + 0 = 6, 4*d = 2*k - 6. Let c be -1 + 1 + 0 - d. Factor -2*i**4 + i**4 + 2*i**3 - i**c.
-i**3*(i - 1)
Let f be (-3 - (-2 - -2))*-1. Suppose 5*x - 2*b = 5 + 5, b = 4*x - 8. Let -2*o**2 - x*o - 2/3 - 2/3*o**f = 0. What is o?
-1
Let x(c) be the second derivative of -c**6/420 + c**4/84 + 3*c**2/2 - 3*c. Let d(h) be the first derivative of x(h). Determine k, given that d(k) = 0.
-1, 0, 1
Let u(w) be the first derivative of w**7/504 - 7*w**6/1080 + w**5/180 + 5*w**3/3 - 3. Let a(b) be the third derivative of u(b). Factor a(l).
l*(l - 1)*(5*l - 2)/3
Let r be (8/(-28))/((-33)/42). Let 0 + 2/11*p**3 - r*p**2 + 2/11*p = 0. Calculate p.
0, 1
Let r be 20/7*63/18. Suppose r = -4*w + 4*z - 9*z, 0 = 5*w + 4*z + 8. Factor 0*p + w - 1/3*p**2.
-p**2/3
Let k(c) = -c. Let s be k(-6). Suppose 4*o + 3 = 4*z - o, -z - 4*o + s = 0. Find a such that -1/2*a**4 + 0*a + 1/2*a**2 - 2*a**3 + 0 + z*a**5 = 0.
-1, 0, 1/4, 1
Let m be 5/10*(-1 - -1). Solve -1/4*n**3 + m + 1/2*n**2 + 0*n = 0.
0, 2
Let x be (8/12)/(4/18). Let r(l) be the first derivative of 0*l**2 - 8*l + 14/3*l**x - 3/2*l**4 - 1. Factor r(b).
-2*(b - 2)*(b - 1)*(3*b + 2)
Let d = -26 + 33. Let l(s) be the third derivative of 1/840*s**8 + 0*s**3 + 1/300*s**6 + 0*s**5 + 0*s - 2*s**2 + 0 - 2/525*s**d + 0*s**4. Factor l(w).
2*w**3*(w - 1)**2/5
Let i be (15/30)/((-2)/(-4)). Suppose 0 = h - i - 2. Determine s so that 0*s**4 + 1/2*s**5 + 0*s**2 + 0*s - 1/2*s**h + 0 = 0.
-1, 0, 1
Factor -1/5*l**3 + 1/5*l**4 + 0*l - 2/5*l**2 + 0.
l**2*(l - 2)*(l + 1)/5
Let p = 1 - -1. Find z, given that -4*z**3 - 2*z**4 - 2*z + 2*z + p*z + 3*z**5 + 2*z**2 - z = 0.
-1, -1/3, 0, 1
Suppose -10 - 8 = -3*c. Factor 12*b**3 - c*b + 12*b**4 + b**2 - 1 + 4 - 10*b**2.
3*(b + 1)**2*(2*b - 1)**2
