*2*(z + 1)/3
Suppose 5/7*q + 1/7*q**2 - 6/7 = 0. Calculate q.
-6, 1
Solve -3/5*s**3 + 3/5 - 3/5*s**2 + 3/5*s = 0 for s.
-1, 1
Let t(p) be the third derivative of -p**8/2240 + p**7/280 - p**5/10 + 5*p**4/24 + 4*p**2. Let w(x) be the second derivative of t(x). Factor w(f).
-3*(f - 2)**2*(f + 1)
Let b(p) be the first derivative of 2*p**5 + p**4/2 - 10*p**3/3 - p**2 - 6. Factor b(y).
2*y*(y - 1)*(y + 1)*(5*y + 1)
Let r(x) = x**2. Let p(t) = 14*t**2 - 5*t - 2. Suppose -2*f + 3*s - 8*s + 29 = 0, 5*f - 4*s = 122. Let w(b) = f*r(b) - 2*p(b). Suppose w(d) = 0. Calculate d.
-1/3, 2
Let g(m) be the third derivative of m**8/3864 + m**7/2415 - m**6/1380 - m**5/690 - 15*m**2. Solve g(l) = 0 for l.
-1, 0, 1
Suppose 15 = 2*s + 7. Let u(k) be the first derivative of 0*k - 1/9*k**3 + 0*k**2 - s. Let u(h) = 0. What is h?
0
Factor -10/7*l**2 - 4/7*l + 0 - 8/7*l**3 - 2/7*l**4.
-2*l*(l + 1)**2*(l + 2)/7
Factor -1/2*m**3 - 24*m - 15/2*m**2 + 32.
-(m - 1)*(m + 8)**2/2
Let c(v) = -15*v**5 + 3*v**4 + 12*v**3 + 12*v**2 + 21*v + 21. Let t(i) = i**5 - i**3 - i**2 - i - 1. Let j(w) = -c(w) - 18*t(w). Suppose j(p) = 0. What is p?
-1, 1
Let m(f) be the third derivative of -1/105*f**6 - 2*f**2 - 1/21*f**4 + 1/21*f**3 + 0 + 1/35*f**5 + 1/735*f**7 + 0*f. Factor m(i).
2*(i - 1)**4/7
Let f = 6 + -10. Let u be 0 - -1 - (-19 + f). Factor t - 20*t**3 - u*t**2 - 2 + 0*t**4 + 0*t**4 - 13*t - 6*t**4.
-2*(t + 1)**3*(3*t + 1)
Let p(t) = 2*t**2 + 13*t - 3. Let b be p(-7). Let z be 4/3*6/14. Factor z*u**2 + 2/7*u**5 + 2/7*u - 4/7*u**3 - 2/7*u**b - 2/7.
2*(u - 1)**3*(u + 1)**2/7
Let p = -538 + 1097/2. Let v = 12 - p. Factor -3/4 + 9/4*g - v*g**3 + 9/4*g**4 - 3/4*g**5 - 3/2*g**2.
-3*(g - 1)**4*(g + 1)/4
Let k(u) be the third derivative of u**9/2520 + u**8/525 + u**7/525 + 2*u**3/3 - 3*u**2. Let z(y) be the first derivative of k(y). Determine b so that z(b) = 0.
-2, -2/3, 0
Suppose 3*j**5 - 27*j + 15/2*j**2 + 6 - 63/4*j**4 + 87/4*j**3 = 0. Calculate j.
-1, 1/4, 2
Let m be (-40)/50*(-5)/2. Find i such that -2/9*i**3 + 2/9*i**m + 0 - 2/9*i**4 + 2/9*i = 0.
-1, 0, 1
Let x(v) be the first derivative of -v**6/9 - 2*v**5/5 - v**4/3 + 4*v**3/9 + v**2 + 2*v/3 - 14. Factor x(t).
-2*(t - 1)*(t + 1)**4/3
Let a(j) be the first derivative of j**6/39 - 4*j**5/65 + 4*j**3/39 - j**2/13 - 2. Let a(n) = 0. Calculate n.
-1, 0, 1
Suppose 5*x = 2*j + 360, -2*j + 360 = 5*x - 0*j. Let f be (-1 - x/3)*-1. Factor g - 2*g + 4*g**2 - f*g**4 + 5*g - 25*g**3.
-g*(g + 1)*(5*g - 2)*(5*g + 2)
Let r = 359755/14 - 51077/2. Let w = -158 + r. Solve -4/7*l**5 - 6/7*l**2 + 0 + w*l**3 + 2/7*l + 6/7*l**4 = 0 for l.
-1, 0, 1/2, 1
Suppose -3 - 1 = -2*w. Factor 4*f + 3*f**2 + 0*f + w*f.
3*f*(f + 2)
Let l(o) be the second derivative of 0 + 1/9*o**3 - 2*o - 1/36*o**4 + 0*o**2 - 1/60*o**5. Suppose l(i) = 0. What is i?
-2, 0, 1
Solve 0*d**4 + 2*d**4 + 4*d**2 - 2*d**2 - 4*d**2 + 2*d**3 - 2*d**5 = 0.
-1, 0, 1
Factor 8*x**2 + 2*x**3 - x**3 - x**4 - 7*x**2 + x**2.
-x**2*(x - 2)*(x + 1)
Let x be 14/(-28)*(30 - 0). Let g be (-12)/x*2/8. Find w, given that 2/5 + 3/5*w + g*w**2 = 0.
-2, -1
Let l(m) = 8*m - 150. Let y be l(19). Factor -4/3*v + 8/3*v**y - v**3 + 0.
-v*(v - 2)*(3*v - 2)/3
Suppose 0 = 2*q - 5*c - 28 - 14, -2*c + 42 = 2*q. Let y = 26 - q. Factor 0*t**2 - 4/7*t**3 + 0*t**4 + 2/7*t + 2/7*t**y + 0.
2*t*(t - 1)**2*(t + 1)**2/7
Let n be 4 + -23*3/18. Suppose 1/6*z + n*z**2 - 1/6 - 1/6*z**3 = 0. Calculate z.
-1, 1
Let o = 1087 + -2123/2. Let v = o + -24. Factor -1/2 - 3/2*z - 1/2*z**3 - v*z**2.
-(z + 1)**3/2
Let g(l) = l - 5. Let x be g(5). Let u(d) be the first derivative of 0*d**3 - 2/25*d**5 + x*d**2 + 0*d**4 - 1 + 0*d. Solve u(n) = 0 for n.
0
Let q(d) = -d**2 + 7*d + 22. Let p be q(9). Let j(b) be the first derivative of -1/7*b**2 - 2/7*b + 1 + 10/21*b**3 - 3/14*b**p. Factor j(l).
-2*(l - 1)**2*(3*l + 1)/7
Let x(y) = -3*y**4 + 6*y**3 + 3*y**2 - 12*y - 6. Let r(b) = b**3 - b**2 - b - 1. Let f(k) = 6*r(k) - x(k). Factor f(a).
3*a*(a - 1)**2*(a + 2)
Suppose 0 = 4*f + 5*g + 26 - 1, 4*g + 20 = 0. Suppose f = d - 1 - 3. What is o in 0 - 12/7*o**3 - 2/7*o**5 - 8/7*o**2 - 2/7*o - 8/7*o**d = 0?
-1, 0
Let g = 11 + -6. Suppose -d = g*v - 22, 4*v + 1 = d - 3. Suppose d*i**4 + 4*i**2 - i**2 - 7*i**4 - 8*i**4 = 0. What is i?
-1, 0, 1
Suppose -2*i = -3*i + 19*i. Factor i*f + 1/2*f**2 + 0.
f**2/2
Factor 1/2*p**2 - 1/4*p**5 - 3/4*p**4 + 1/4 - 1/2*p**3 + 3/4*p.
-(p - 1)*(p + 1)**4/4
Suppose 4*d - d = 12. Let k(f) be the second derivative of -1/9*f**3 + 1/54*f**d + 4*f + 2/9*f**2 + 0. Solve k(u) = 0.
1, 2
Let s(d) be the first derivative of -2*d - d**2 + 4 + 4/3*d**3 - 7/24*d**4. Let j(m) be the first derivative of s(m). Suppose j(y) = 0. Calculate y.
2/7, 2
Let m(t) be the second derivative of t**6/6 - 5*t**4/6 + 5*t**2/2 + 8*t. What is v in m(v) = 0?
-1, 1
Let v(k) be the first derivative of -3*k**4/8 + 3*k**3/2 - 3*k**2/2 - 2. Determine p, given that v(p) = 0.
0, 1, 2
Let s = -567 - -569. Find d such that -1/3*d + 1/3*d**3 - 1/3 + 1/3*d**s = 0.
-1, 1
Let d(w) = 25*w**2 - 8*w. Let x(a) = -a**2 + 1. Let y(m) = 7*m**2 - m - 4. Let s(k) = 4*x(k) + y(k). Let h(b) = -6*d(b) + 51*s(b). Factor h(f).
3*f*(f - 1)
Let j be (-3)/2*(-40)/30. Let f = -22 - -37. Solve -15 + f + x**2 - j*x = 0.
0, 2
Let z(c) be the third derivative of 1/5*c**5 - 1/3*c**3 + 0*c + 7/120*c**6 - 8*c**2 + 0 + 1/8*c**4. Solve z(v) = 0.
-1, 2/7
Suppose -2*j + 1 = -f, -2*j + 6*f - 11 = f. Suppose -l + 2*y = -2*l, 0 = 2*y + j. Solve -2*w + w**3 + 2*w + w**l = 0.
-1, 0
Let r = -9 - -8. Let x be (-3 + (-19)/(-7))/r. Factor -x*d**2 - 2/7 + 4/7*d.
-2*(d - 1)**2/7
Determine p so that 0*p + 0 + 2/5*p**3 + 16/15*p**4 + 0*p**2 + 2/3*p**5 = 0.
-1, -3/5, 0
Let a = -7 - -9. Factor 0*j**3 + 3*j + 6*j**a - 5*j - 4*j**3 + 0*j.
-2*j*(j - 1)*(2*j - 1)
Let y = 379/6 + -63. Let z(c) be the first derivative of -3 + 0*c + 1/5*c**5 - y*c**6 + 0*c**2 + 0*c**3 + 0*c**4. Factor z(n).
-n**4*(n - 1)
Suppose -2*v - r = -6*v + 32, 0 = -3*v + 4*r + 24. Suppose 3*p - v = p. Suppose 0 + 0*o**p - 1/4*o**3 + 1/4*o**5 + 0*o + 0*o**2 = 0. Calculate o.
-1, 0, 1
Suppose 23 = y + 20. Find j such that 0 - 6/5*j**y - 2*j**2 - 4/5*j = 0.
-1, -2/3, 0
Let h be ((-4)/6)/(2/9). Let i be 14/4 + h/(-2). What is m in -2*m**4 + 4*m + i*m**5 - 4*m - 2*m**2 - 5*m**3 + 4*m**4 = 0?
-1, -2/5, 0, 1
Suppose 5*x - 27 + 8 - 5*x**3 + 5*x**4 + 15 - 15*x**2 + 14 = 0. Calculate x.
-1, 1, 2
Let a = 5 + -9. Let q = a - -7. Solve 2 - 7*b**2 + 0*b + 2*b + q*b**2 = 0.
-1/2, 1
Let t(a) = a**3 - 6*a**2 + 6*a - 5. Let h be t(5). Let v = 0 - h. Factor 3*n**3 - n**3 + v*n**4 + 2*n**5 - 4*n**4.
2*n**3*(n - 1)**2
Suppose -h + 0*h - 5 = -5*s, 0 = 5*h + s - 1. Suppose h*v = -v. Suppose -1/2*o**2 + 0 + v*o = 0. What is o?
0
Factor -23*b**4 + 3*b**2 + 3*b**2 + 2*b**4 + 15*b**3.
-3*b**2*(b - 1)*(7*b + 2)
Factor -2/5 + f**3 - 1/5*f**4 - 9/5*f**2 + 7/5*f.
-(f - 2)*(f - 1)**3/5
Factor y**5 - 5*y**3 + y**3 + 453 - 453 + 4*y**2 - y**4.
y**2*(y - 2)*(y - 1)*(y + 2)
Let t be ((-1)/(-2))/((-4)/(-16)). Suppose -x - 6 = -t*x. Solve 3*k**4 - 2*k**5 - k**4 - x*k**4 + 2*k + 4*k**2 = 0 for k.
-1, 0, 1
Let t(q) = -q**3 - 16*q**2 + 4*q - 4. Let l(d) = -d + 1. Let y(r) = -4*l(r) - t(r). Solve y(n) = 0 for n.
-16, 0
Let a(z) = z**2 - 7*z + 6. Let c be a(6). Let s(i) be the third derivative of 3*i**2 - 1/80*i**5 + 1/480*i**6 + c + 0*i**3 + 0*i + 1/48*i**4. Factor s(m).
m*(m - 2)*(m - 1)/4
Suppose -4*p + 3*p + 2*i = -12, 2*p - 2*i = 14. Let h(t) be the first derivative of 1/12*t**4 + p - 1/9*t**3 - 1/6*t**2 + 1/3*t. Factor h(v).
(v - 1)**2*(v + 1)/3
Let c be 2*(-4)/80*-4*1. Factor -2/5*a**2 - c*a + 0.
-2*a*(a + 1)/5
Let n be (-2)/18*-3*4. Let t = -2/29 - -35/87. Factor 4/3*i**4 + 0*i + 0 - n*i**5 + 0*i**2 - t*i**3.
-i**3*(2*i - 1)**2/3
Let z(b) be the third derivative of b**8/630 - b**7/252 + b**6/540 + b**3/2 + 2*b**2. Let c(y) be the first derivative of z(y). Determine f so that c(f) = 0.
0, 1/4, 1
Let v(c) = -11*c**2 + c - 6. Let s(o) = -23*o**2 + 3*o - 13. Let w(m) = -6*s(m) + 13*v(m). Determine n, given that w(n) = 0.
-1, 0
Let y be (4/10)/(10/(-250)). Let n be (-5)/4*4/y. Suppose 0 - 1/2*v**4 + n*v**3 + 0*v + 0*v**2 = 0. What is v?
0, 1
Suppose -11 = 2*r - 15. Factor -1/2*w - 1/4*w**r - 1/4.
-(w + 1)**2/4
Suppose 0 = 5*m - 3*m. Suppose -3*g + s + 7 = m, g + 4*g = -5*s + 5. What is