(n - 3)*(n + 1)/2
Let c(o) be the first derivative of 1/4*o**4 - 1 - 1/2*o**2 - 1/3*o**3 + o. Solve c(j) = 0.
-1, 1
Factor -12 + 15/2*c**3 - 6*c + 3/2*c**4 + 9*c**2.
3*(c - 1)*(c + 2)**3/2
Let s(d) be the first derivative of -2*d**5/85 + 16*d**4/17 - 572*d**3/51 + 480*d**2/17 - 450*d/17 - 47. Find b, given that s(b) = 0.
1, 15
Let k(j) be the first derivative of j**4/12 + j**3/6 - j**2 + 6*j - 6. Let t(u) be the first derivative of k(u). Factor t(m).
(m - 1)*(m + 2)
Let s(b) = 5*b**3 - 18*b**2 + 4*b + 6. Let t(v) = -10*v**3 + 35*v**2 - 8*v - 11. Let j(k) = 11*s(k) + 6*t(k). Factor j(z).
-z*(z - 2)*(5*z - 2)
Let v(h) be the first derivative of 3*h**4/2 - 19*h**3/2 + 33*h**2/4 + 6*h - 5. Factor v(k).
3*(k - 4)*(k - 1)*(4*k + 1)/2
Let y(c) = 445*c**2 + 125*c + 8. Let d(h) = -667*h**2 - 188*h - 12. Let x(q) = 5*d(q) + 8*y(q). Factor x(u).
(15*u + 2)**2
Suppose -1/2 + 1/2*m**2 + 1/4*m - 1/4*m**3 = 0. What is m?
-1, 1, 2
Let o(x) = x**3 + 5*x**2 + x + 1. Let b be o(-5). Let w = b - -6. Factor 4 - 2 + d - w*d**2 - d.
-2*(d - 1)*(d + 1)
Suppose -5*t - 4*v + 26 = 0, -3*t + 5*v - 24 = -5*t. Let k = 65/177 - 2/59. Factor 1/3*z + 0 + k*z**3 + 2/3*z**t.
z*(z + 1)**2/3
What is i in -4*i - 4*i**3 + 10*i - 16*i**2 - 2*i + 4 + 12*i**2 = 0?
-1, 1
Factor -7/3*w - 2/3*w**3 - 7/3*w**2 - 2/3.
-(w + 1)*(w + 2)*(2*w + 1)/3
Let u be 1*(-3 - -3)*-1. Suppose u = z - 3 + 1. Determine p so that 0*p - 2/7*p**z - 2/7*p**3 + 0 = 0.
-1, 0
Let l(h) be the second derivative of h**5/20 + 7*h**4/16 - 19*h**3/24 - 3*h**2/4 + 42*h. Factor l(k).
(k - 1)*(k + 6)*(4*k + 1)/4
Let x be ((-3)/(-4))/(648/64). Let n(j) be the first derivative of 2/45*j**5 - 1/9*j**4 + 0*j**2 - 2 + 0*j + x*j**3. Factor n(f).
2*f**2*(f - 1)**2/9
Let f(a) be the third derivative of a**8/112 + a**7/14 - a**6/5 - 11*a**5/5 + 4*a**4 + 32*a**3 - 40*a**2. Solve f(g) = 0 for g.
-4, -1, 2
Let s(y) be the first derivative of y**4/42 - y**3/21 - 2*y**2/7 + 3*y - 5. Let t(x) be the first derivative of s(x). Factor t(i).
2*(i - 2)*(i + 1)/7
Suppose 1 = 18*f + 1. Find r such that 0 + 1/2*r**3 + f*r + r**2 = 0.
-2, 0
Let b(x) be the second derivative of 3/20*x**5 + 3*x**2 + 0*x**4 - 3*x - 3/2*x**3 + 0. Factor b(u).
3*(u - 1)**2*(u + 2)
Let o be 3 - (-2)/(-6)*114/14. What is x in -6/7*x - o*x**2 + 2/7 + 6/7*x**3 = 0?
-1, 1/3, 1
Let a(k) be the third derivative of 5*k**8/336 - k**7/42 + 32*k**2. Suppose a(p) = 0. Calculate p.
0, 1
Let f(r) be the first derivative of 10/3*r**3 - 3/2*r**4 + 5 + 0*r - 2*r**2. Find o such that f(o) = 0.
0, 2/3, 1
Let u(j) be the first derivative of -3*j**4/8 + j**3/4 + 39. Find o, given that u(o) = 0.
0, 1/2
Let a(x) be the third derivative of -x**6/300 - 2*x**5/75 - x**4/15 - x**2. Determine n so that a(n) = 0.
-2, 0
Let h = 157/195 + -1/195. Factor 13/5*u**2 + 11/5*u + 2/5 + h*u**3.
(u + 1)*(u + 2)*(4*u + 1)/5
Let r(k) be the second derivative of k**4/3 + 4*k**3/3 + 2*k**2 + 3*k. Factor r(v).
4*(v + 1)**2
Let b(z) be the third derivative of -z**5/160 + z**4/64 - 15*z**2. Factor b(i).
-3*i*(i - 1)/8
Let p(k) be the second derivative of -k**4/6 - 2*k**3/3 - k. Factor p(s).
-2*s*(s + 2)
Let t = -153 + 769/5. Let -1/5*c**2 + t*c - 4/5 = 0. What is c?
2
Let n(x) be the first derivative of -x**6/360 + 2*x**3/3 - 1. Let y(l) be the third derivative of n(l). Factor y(t).
-t**2
Let a(q) = 3 - 7 + 21*q**2 - 2*q**4 - 2*q**4. Let w(n) = -n**4 + 5*n**2 - 1. Let m(r) = -6*a(r) + 26*w(r). Factor m(v).
-2*(v - 1)**2*(v + 1)**2
Let n(o) = -3*o**3 - o**2 - o. Let g be n(-2). Factor 14 + c**2 - g - 8*c - 3*c**2.
-2*(c + 2)**2
Let z be 47/5 + (-6)/15. Let l(j) = -j + 6. Let t be l(4). Let -11*y**2 + 2*y + z*y**2 + t - 2*y = 0. Calculate y.
-1, 1
Let b(g) = g - 3 + 3 - 7. Let y be b(10). What is w in 13*w**3 + 2*w**4 - 8*w**5 + w**2 - y*w**2 - 5*w**3 + 0*w**4 = 0?
-1, 0, 1/4, 1
Let q = 42 - 30. Factor -5*v + 26*v**2 + v + 8*v**3 - q*v**2.
2*v*(v + 2)*(4*v - 1)
Let c(k) = -8*k**2 - 25*k - 17. Let q(s) = 3 + 6*s + 2*s**2 + 1 + 0. Let n(h) = -2*c(h) - 9*q(h). Suppose n(b) = 0. What is b?
-1
Let 0 + 3/8*f**2 - 3/8*f = 0. Calculate f.
0, 1
Let h be -2 + (-9)/(-6)*6. Let d = 10 - h. Factor -a**2 - d*a + 0*a - 1 + a.
-(a + 1)**2
Let a(l) be the second derivative of l**6/27 - l**5/5 + 2*l**4/9 + 8*l**3/27 - 27*l. Factor a(r).
2*r*(r - 2)**2*(5*r + 2)/9
Suppose 0 = 2*p - 10, 3*x + 1 = 2*p - 0*p. Suppose h + x*h = 0. Factor d**4 + h*d**2 + 0*d**3 + 1/2*d**5 + 0*d + 0.
d**4*(d + 2)/2
Let t(a) be the third derivative of -5/14*a**7 - 2*a**2 - 10*a**4 + 8*a**3 + 24/5*a**5 + 1/2*a**6 + 0*a + 0. Suppose t(w) = 0. What is w?
-2, 2/5, 2
Suppose 5*j = -4*w + 7, 0*j + 2 = -w - 2*j. Let 0*t**3 + 6*t**2 - 4*t**3 - 2*t**4 - 8 + w*t + 0*t**3 = 0. Calculate t.
-2, 1
Let o(c) = 19*c**4 + 21*c**3 - 24*c**2 - 11*c - 5. Let i(l) = 48*l**4 + 52*l**3 - 60*l**2 - 28*l - 12. Let x(z) = 5*i(z) - 12*o(z). Solve x(u) = 0.
-1, -2/3, 0, 1
Let m be 3 - (-4 - (2 - 6)). Let s(c) be the third derivative of 0*c**5 + 0 + c**2 - 1/21*c**m + 0*c + 1/735*c**7 + 1/42*c**4 - 1/210*c**6. Factor s(i).
2*(i - 1)**3*(i + 1)/7
Let t(k) be the first derivative of 2 - 8/15*k**3 - k**2 - 2/5*k. Solve t(q) = 0 for q.
-1, -1/4
Let p(b) = 4*b**4 + 6*b**3 + 4*b**2 - 3*b - 8. Let x(f) = -f**4 - f + 1. Let j(i) = p(i) + 3*x(i). Suppose j(d) = 0. Calculate d.
-5, -1, 1
Suppose -2 = -k + 5*a + 18, -3*a - 12 = 2*k. Let 1/5*j**4 + k*j - 1/5*j**5 + 0 + 2/5*j**3 + 0*j**2 = 0. Calculate j.
-1, 0, 2
Let s = 9 - 8. Let g be (s/(-1) - -1) + 2. Factor 0*n + 2/7*n**3 + 0*n**g - 4/7*n**5 + 0 - 2/7*n**4.
-2*n**3*(n + 1)*(2*n - 1)/7
Let l(u) be the first derivative of 2*u**5/5 - 3*u**4/2 + 4*u**2 - 2. Factor l(t).
2*t*(t - 2)**2*(t + 1)
Let x(b) be the third derivative of -b**7/1890 - b**6/270 - b**5/270 + b**4/54 + b**3/18 + b**2. Factor x(f).
-(f - 1)*(f + 1)**2*(f + 3)/9
Let m(t) = -2*t**3 - 24*t**2 + 106*t. Let w(c) = -c**3 - 8*c**2 + 35*c. Let u(h) = 3*m(h) - 10*w(h). Factor u(f).
4*f*(f - 2)*(f + 4)
Suppose -6*a + 2*a + 8 = 4*v, v + 2*a = -1. Let p = -2 + v. Suppose 4*m**p + 2*m**3 + 5*m**4 + 2*m**5 + 2*m**2 + m**4 = 0. What is m?
-1, 0
Let u be (-56)/(-16)*20/7. Suppose 8*f - u = 3*f. Find x such that x**4 + x**2 - 2*x - 3*x**2 + x**4 + f*x**3 = 0.
-1, 0, 1
Let m(l) be the first derivative of -l**5/5 + l**4/2 - l**3/3 - 2. Solve m(t) = 0.
0, 1
Let k(r) be the second derivative of -r**5/4 + 35*r**4/12 - 25*r**3/2 + 45*r**2/2 - 28*r. Factor k(h).
-5*(h - 3)**2*(h - 1)
Find g such that 2/5*g**2 + 4/5 + 14/5*g - 6/5*g**4 - 14/5*g**3 = 0.
-2, -1, -1/3, 1
Let a be -1*(-2 - (-3)/(-3)). Find l such that l**a - 4*l**2 + 5*l**2 + 0*l**3 = 0.
-1, 0
Let r(w) be the third derivative of -1/30*w**4 + 2/105*w**8 - 17/150*w**5 - 13/100*w**6 - 8/525*w**7 - 6*w**2 + 0 + 0*w + 0*w**3. Determine y so that r(y) = 0.
-1, -1/4, 0, 2
Let j = -41 - -43. What is a in 3/2*a**5 - 3/2 - 3/2*a**4 + 3/2*a + 3*a**j - 3*a**3 = 0?
-1, 1
Let m(g) = 4*g**4 + 8*g**3 + 11*g**2 + 3*g - 15. Let h(y) = y**4 + 2*y**3 + 3*y**2 + y - 4. Let b(j) = 22*h(j) - 6*m(j). Solve b(z) = 0.
-1, 1
Let y(b) = -b**3 + 10*b**2 + 2. Let p be y(10). Factor -21*q + 17*q**p + 15*q - 2*q**2.
3*q*(5*q - 2)
Let w = 277/105 - -1/35. Let 2/3*n**2 + 8/3*n + w = 0. What is n?
-2
Let y(m) = m**5 + 3*m**4 + 2*m**3 + 2*m**2 + 2*m - 2. Let h(f) = f**4 + f**3 + f**2 + f - 1. Let w(o) = 2*h(o) - y(o). Suppose w(s) = 0. What is s?
-1, 0
Let b = -16 + 18. Suppose -4/3 + 2/3*d**b + 2*d**3 + 2/3*d**4 - 2*d = 0. What is d?
-2, -1, 1
Let n = -84 + 98. Factor -n*u**3 + 0*u - 2*u**2 + 0 - 49/2*u**4.
-u**2*(7*u + 2)**2/2
Suppose 3*t + 5*v = -3, -5*v + 3 = -4*t - 1. Let x(h) = 0 + h**3 + 0 + h**2 - 5 + 5*h. Let n(l) = -l + 1. Let i(j) = t*x(j) - 5*n(j). Factor i(k).
-k**2*(k + 1)
Let j(b) be the third derivative of b**7/189 - 7*b**6/540 - 23*b**5/270 - 5*b**4/108 + 2*b**3/9 - 17*b**2 - 1. Find u, given that j(u) = 0.
-1, 2/5, 3
Let b(s) be the second derivative of s**7/210 + s**6/40 - s**4/6 - s**2 + 8*s. Let g(o) be the first derivative of b(o). Factor g(u).
u*(u - 1)*(u + 2)**2
Let f(i) = -i**2 + 9*i - 15. Let g be f(5). Let s(w) be the third derivative of 0*w**3 + 1/120*w**g - 2*w**2 - 1/48*w**4 + 0 + 0*w. Find x such that s(x) = 0.
0, 1
Suppose 3*f - f - 18 = 0. Let 0*a**3 - a**3 - 6*a**4 - 32*a**5 - f*a**3 + 38*a**4 + a**2 = 0. Calculate a.
0, 1/4, 1/2
Let 