v + 1)
Let n(c) be the third derivative of -2/3*c**3 + 0 + 0*c + 1/30*c**5 + 1/12*c**4 - 6*c**2. Let n(y) = 0. Calculate y.
-2, 1
Factor -6*y**4 + 20*y**5 - 2*y**3 - 3 + 3 - 12*y**5.
2*y**3*(y - 1)*(4*y + 1)
Let z(g) be the third derivative of -g**9/75600 - g**8/33600 + g**7/6300 + g**4/6 - 4*g**2. Let t(m) be the second derivative of z(m). Factor t(n).
-n**2*(n - 1)*(n + 2)/5
Let l = -2 - -5. Factor -v**5 + l*v - 6*v**4 + 1 + 2*v**2 - 2*v**3 - 3*v**4 + 6*v**4.
-(v - 1)*(v + 1)**4
Find p such that 0*p**4 + 0*p**4 + 0*p**4 + 3*p**4 - 7*p**3 + 4*p = 0.
-2/3, 0, 1, 2
Let x(n) be the second derivative of -n**5/10 + 5*n**4/6 + 8*n**3/3 - 48*n**2 + 25*n. Factor x(k).
-2*(k - 4)**2*(k + 3)
Let m(y) = 2*y - 12. Let a be m(8). Find r such that 4*r**4 - 11*r**5 + 5*r + 9*r**5 - 3*r - a*r**2 = 0.
-1, 0, 1
Let -2/7*p**4 + 0 + 10/7*p**2 + 4/7*p + 6/7*p**3 - 2/7*p**5 = 0. What is p?
-1, 0, 2
Let b(y) be the first derivative of -2*y**3/9 - 4*y**2/3 - 2*y + 15. Determine a, given that b(a) = 0.
-3, -1
Let n(p) = -p**3 + 10*p**2 - 7*p + 70. Let x be n(10). Factor 3/4*g**3 + 0*g**2 + 0*g - 3/4*g**4 + x.
-3*g**3*(g - 1)/4
Let z be (-593)/(-35) + 9/45. Suppose 12 = -3*w + 7*w. Suppose -z*q**5 - 6/7*q + 18*q**w - 4/7 - 58/7*q**4 + 62/7*q**2 = 0. Calculate q.
-1, -2/5, -1/3, 1/4, 1
Let t(f) = 5*f**2 - 5. Let p(i) = 12*i**2 - i - 11. Let g(m) = -2*p(m) + 5*t(m). Solve g(j) = 0.
-3, 1
Let w(r) be the first derivative of -1/4*r**2 + 0*r + 0*r**4 - 1/3*r**3 + 1/5*r**5 + 3 + 1/12*r**6. Factor w(j).
j*(j - 1)*(j + 1)**3/2
Suppose -5*j + 7 = 7. What is t in 8/7*t**2 + j - 2/7*t = 0?
0, 1/4
Solve -12*x - 18*x**2 - 6*x**4 - 22*x**3 - 3 + 10*x**3 + 3*x**4 = 0.
-1
Suppose 7*g - 12*g = 0. Let y(j) be the third derivative of 0*j**3 - 1/105*j**5 + 3*j**2 + g - 1/140*j**6 + 0*j + 1/84*j**4. Factor y(h).
-2*h*(h + 1)*(3*h - 1)/7
Let w(i) be the first derivative of 2/3*i**3 + 0*i - 2 + 1/2*i**2. Let w(g) = 0. Calculate g.
-1/2, 0
Let p = 57/4 + -14. Factor 0*j - 1/4 + p*j**2.
(j - 1)*(j + 1)/4
Suppose 2*c - 10 = -o - 2*o, -5*c = -5*o + 25. Let r = c + 5. Solve -2*w**3 - 4 - 2*w**3 + 2*w + 2*w**3 + r*w**2 = 0 for w.
-1, 1, 2
Let s = -3 - -5. Factor s*w**2 - 4*w + 5*w - 4*w + w.
2*w*(w - 1)
Let d(x) be the first derivative of -1/12*x**2 + 0*x + 1/18*x**3 - 1/30*x**5 - 2 + 1/24*x**4. Let d(i) = 0. Calculate i.
-1, 0, 1
Let p(j) be the second derivative of j**7/210 - j**6/120 - j**5/60 + j**4/24 - j**2/2 - 3*j. Let s(c) be the first derivative of p(c). Factor s(z).
z*(z - 1)**2*(z + 1)
Let y(o) be the second derivative of 3/50*o**5 + 2*o + 1/150*o**6 - 1/210*o**7 + 11/30*o**3 - 7/30*o**4 - 3/10*o**2 + 0. Factor y(g).
-(g - 1)**4*(g + 3)/5
Let s(x) = x**2 - 6*x + 15. Let b be s(3). Let i(d) be the second derivative of 1/72*d**4 - d + 0 + 0*d**3 + 1/180*d**b - 1/60*d**5 + 0*d**2. Factor i(v).
v**2*(v - 1)**2/6
Factor -3/2*g**2 + 27/2*g - 12.
-3*(g - 8)*(g - 1)/2
Let s(h) be the third derivative of 7*h**6/40 + 4*h**5/5 + h**4/2 + 18*h**2 + 1. Factor s(g).
3*g*(g + 2)*(7*g + 2)
Let r(q) be the first derivative of -1/4*q**4 + 0*q**3 + 0*q + 1/2*q**2 + 4. Determine p so that r(p) = 0.
-1, 0, 1
Suppose 4*k**2 - 8/5*k**5 + 28/5*k**4 - 4/5*k + 0 - 36/5*k**3 = 0. What is k?
0, 1/2, 1
Suppose 4*n = -3*g + 3 + 1, -10 = -g + 3*n. Suppose u - g*u = 0. Factor 0*b - 2/3*b**2 + u - b**3.
-b**2*(3*b + 2)/3
Let m(s) be the first derivative of s**5 + 5*s**4/2 + 5*s**3/3 + 8. Let m(x) = 0. Calculate x.
-1, 0
Let k(r) be the third derivative of -r**5/40 - 5*r**4/4 - 25*r**3 - 11*r**2. Let k(h) = 0. What is h?
-10
Suppose 0 = 2*z - 5*h - 8 - 0, -2*z - 4*h + 8 = 0. Factor z + 2*u**4 - 4*u**2 - u**4 - 2 + u**4.
2*(u - 1)**2*(u + 1)**2
Let n be (0 - 0) + 114/288. Let u = n - 1/16. Factor 0 - 1/3*l**3 + 0*l + u*l**2.
-l**2*(l - 1)/3
Suppose w = -4*u - w + 2, 3*u = -4*w - 6. Let -3/4*p**u - 3/4*p - 1/4 - 1/4*p**3 = 0. What is p?
-1
Let f = -1 - -17. Suppose -3*s + 3*r + 13 = -s, -5*s + 2*r = -f. Suppose 0*p**s - 2/7*p + 2/7*p**3 + 0 = 0. Calculate p.
-1, 0, 1
Let w be (-6424)/90 - (-12)/(-54). Let t = w + 72. Suppose t*y**4 + 0*y**2 - 4/5*y**3 - 2/5 + 4/5*y = 0. Calculate y.
-1, 1
Let n(y) = y - 6. Let w be n(10). Suppose w*a + a - 150 = 0. Find s such that -56/3*s - 8/3 - a*s**2 + 56/3*s**3 + 98/3*s**4 = 0.
-1, -2/7, 1
Let w(f) be the second derivative of f**5/170 - f**4/51 - f**3/51 + 2*f**2/17 - 12*f. Solve w(q) = 0.
-1, 1, 2
Let n(k) = 15*k**3 - 3*k**2 - 15*k - 19. Let i(v) = 4*v**3 - v**2 - 4*v - 5. Let h(b) = -22*i(b) + 6*n(b). Factor h(q).
2*(q - 1)*(q + 1)*(q + 2)
Let w(q) be the third derivative of -q**7/2940 - q**6/1260 + q**5/420 + q**4/84 - 7*q**3/6 + 3*q**2. Let g(j) be the first derivative of w(j). Factor g(p).
-2*(p - 1)*(p + 1)**2/7
Let r(u) be the third derivative of -5*u**8/336 - u**7/14 + u**5/3 - 20*u**2. Determine z, given that r(z) = 0.
-2, 0, 1
Suppose -53 = -6*a - 17. Let i(o) be the second derivative of -1/4*o**4 + 0 - 3*o + 1/5*o**5 + 0*o**2 + 1/9*o**3 - 1/18*o**a. Factor i(b).
-b*(b - 1)**2*(5*b - 2)/3
Factor -4*z**2 + 5*z - 3/2.
-(2*z - 1)*(4*z - 3)/2
Suppose 5*u - 5 - 5 = 0. Let -19*y**u - 3*y**3 - 3*y**3 + 38*y**4 - 5*y**2 + 3 + 12*y**5 - 17*y**4 - 6*y = 0. What is y?
-1, 1/4, 1
Let b = 884/7 + -126. Factor b*g + 0 - 2/7*g**2.
-2*g*(g - 1)/7
Suppose -2*a = -6 - 24. Let q be (-17)/(-35) + (-3)/a. Suppose -4/7*v - 2/7 - q*v**2 = 0. Calculate v.
-1
Let f(p) be the second derivative of p**7/189 - 2*p**6/135 - p**5/30 + 4*p**4/27 - 4*p**3/27 - 19*p + 1. Let f(a) = 0. What is a?
-2, 0, 1, 2
Factor 6/5 + 18/5*r**4 + 3/5*r**5 + 42/5*r**3 + 48/5*r**2 + 27/5*r.
3*(r + 1)**4*(r + 2)/5
Let x(d) be the third derivative of -1/8*d**6 + 0*d**3 + 1/70*d**7 - 1/2*d**4 + 2/5*d**5 + 5*d**2 + 0 + 0*d. Factor x(u).
3*u*(u - 2)**2*(u - 1)
Let g(m) be the first derivative of -7*m**4/4 + m**3 - 3*m + 3. Let t(c) be the first derivative of g(c). Find d, given that t(d) = 0.
0, 2/7
Let b = -89 - -92. Let b*h + 0 + 3/2*h**2 = 0. What is h?
-2, 0
Let c(u) = 2*u**2 - 6*u + 6. Let j be (2 - 3)*2*-1. Suppose -j*g - 33 = -5*g. Let y(m) = 4*m**2 - 11*m + 11. Let f(l) = g*c(l) - 6*y(l). What is r in f(r) = 0?
0
Determine z so that -7/6*z**4 + 8/3 - 12*z**2 + 20/3*z**3 + 16/3*z = 0.
-2/7, 2
Let v = 771/7 - 109. Solve v + 8/7*x + 2/7*x**2 = 0 for x.
-2
Let h(a) = -12*a**4 + 7*a**3 + 31*a**2 - 79*a - 17. Let k(c) = 4*c**4 - 2*c**3 - 10*c**2 + 26*c + 6. Let x(p) = 6*h(p) + 17*k(p). Determine g so that x(g) = 0.
-2, 0, 2
Suppose 2*m + 0*m = -48. Let y = m - -45. Solve 48*l + 0*l - y*l**2 + 3*l**3 - 3*l - 1 - 26 = 0 for l.
1, 3
Suppose -46 = 2*l + 22. Let r = 69/2 + l. Factor 1/2*a**5 + 2*a**2 + r*a + 3*a**3 + 2*a**4 + 0.
a*(a + 1)**4/2
Let l = 22 - 20. Let i(m) be the first derivative of -1 + 5/6*m**3 - 1/8*m**4 + 1/4*m**l - m - 3/10*m**5. Determine n, given that i(n) = 0.
-1, 2/3, 1
Let v = 5 + -3. Factor -q - q**v - q - q**2.
-2*q*(q + 1)
Let f(r) be the first derivative of r**8/560 - r**6/60 + r**4/8 + 5*r**3/3 + 5. Let k(b) be the third derivative of f(b). Factor k(h).
3*(h - 1)**2*(h + 1)**2
Let w = -1754/7 + 252. Factor 6/7*q + 2/7*q**3 + 18/7 - w*q**2.
2*(q - 3)**2*(q + 1)/7
Let v(n) = -7*n**4 - 10*n**3 - 11*n**2 - 13*n + 5. Let t(d) = 8*d**4 + 10*d**3 + 10*d**2 + 14*d - 6. Let c(k) = 5*t(k) + 6*v(k). Suppose c(w) = 0. What is w?
-2, -1, 0
Let h(x) = -3*x - 12. Let o be h(-4). Factor 0 + 2/5*s**2 + o*s.
2*s**2/5
Let r(m) = -m**2 + m - 7. Let g(l) = -2*l**2 + 3*l - 13. Let w = 4 - 19. Let z be 2/((6/w)/1). Let n(d) = z*r(d) + 3*g(d). Let n(o) = 0. Calculate o.
2
Factor -2*m**2 + 26 - 26 + 3*m**3 - m**3.
2*m**2*(m - 1)
Let m(x) be the first derivative of -x**6/24 + 3*x**5/20 - 3*x**4/16 + x**3/12 + 11. Factor m(l).
-l**2*(l - 1)**3/4
Let w(x) = -6*x**2 + 15*x - 8. Let m(j) = 24*j**2 - 60*j + 33. Let z = -15 - -24. Let t(p) = z*w(p) + 2*m(p). Factor t(k).
-3*(k - 2)*(2*k - 1)
Let r = -47 + 143/3. Let c be (9/21 - 9/21)/2. Solve r*i - 2*i**2 + c = 0.
0, 1/3
Suppose 2*b + 155 = 7*b. Let j = b - 123/4. Factor -3/4*y**2 + 3/4*y - 1/4 + j*y**3.
(y - 1)**3/4
Let q(d) = 5*d - 33. Let h(v) = v - 8. Let g(s) = -9*h(s) + 2*q(s). Let t be g(-6). Factor t*l + 1/4*l**5 + 1/4*l**2 + 0 - 1/4*l**4 - 1/4*l**3.
l**2*(l - 1)**2*(l + 1)/4
Let g be 2*9/(-42) - 12/(-28). Solve 0*b + g + 1/2*b**3 - b**2 = 0.
0, 2
Factor -16/9*s - 14/9 -