5/20 - h**4/4 - h**3/6 + 20*h. Find x such that i(x) = 0.
-1, 0
Factor 0 - 2/13*b**2 - 4/13*b.
-2*b*(b + 2)/13
Let n(a) be the third derivative of -a**8/240 - 4*a**7/105 - 79*a**6/600 - 29*a**5/150 - a**4/30 + 4*a**3/15 - 14*a**2. Suppose n(o) = 0. What is o?
-2, -1, 2/7
What is f in -1/7*f**2 - 19/7*f**4 + 2/7*f + 0 - f**5 - 15/7*f**3 = 0?
-1, 0, 2/7
Let 4*n**2 - 20*n - 5*n**2 + 2*n + 4*n**2 + 27 = 0. Calculate n.
3
Let z = 5 + -1. Find n such that 5*n**2 + 0*n**z + 3*n**4 - 7*n**2 - n**3 = 0.
-2/3, 0, 1
Let x be 16/56 + 2/(-7). Factor 1/3 + x*j - 1/3*j**2.
-(j - 1)*(j + 1)/3
Let k(i) be the third derivative of -i**8/1680 + i**7/3360 - 5*i**3/6 + 8*i**2. Let f(j) be the first derivative of k(j). Factor f(u).
-u**3*(4*u - 1)/4
Factor -2*v**2 + 32/5 - 76/5*v.
-2*(v + 8)*(5*v - 2)/5
Let r(i) be the first derivative of -i**6/3 + 8*i**5/5 - 3*i**4 + 8*i**3/3 - i**2 + 17. What is s in r(s) = 0?
0, 1
Let c = 52 - 49. Factor 0 - 1/3*d**c + 0*d - d**5 + 4/3*d**4 + 0*d**2.
-d**3*(d - 1)*(3*d - 1)/3
Let m(n) be the first derivative of n**6/66 - 7*n**5/55 + 9*n**4/22 - 2*n**3/3 + 13*n**2/22 - 3*n/11 - 48. Let m(v) = 0. Calculate v.
1, 3
Let b(w) be the third derivative of -w**7/10080 - w**6/2880 - w**4/6 + 3*w**2. Let h(v) be the second derivative of b(v). What is g in h(g) = 0?
-1, 0
Let n = 77 + -72. Factor 0 - 1/3*p - 2/3*p**4 + 0*p**3 + 1/3*p**n + 2/3*p**2.
p*(p - 1)**3*(p + 1)/3
Factor -1 - 1/4*b**2 - b.
-(b + 2)**2/4
Factor 0 - 2/15*d**4 + 4/15*d**3 + 14/15*d**2 + 8/15*d.
-2*d*(d - 4)*(d + 1)**2/15
Suppose -3*f - 15 = -14*w + 12*w, 3*f = -5*w - 15. Suppose 0 + 3/5*q**3 + 3/5*q**4 - 3/5*q**2 - 3/5*q**5 + w*q = 0. Calculate q.
-1, 0, 1
Let b(i) be the second derivative of -i**5/60 - i**4/6 - 2*i**3/3 + 3*i**2/2 - 3*i. Let p(g) be the first derivative of b(g). Determine n so that p(n) = 0.
-2
Let a be -1 + 1 - (3 + -3). Solve 2*g**2 - 2*g + a*g - 1 + 0*g - 3*g**2 = 0.
-1
Let v = 689/3 - 229. Factor v*y**2 + 0 - 4/3*y.
2*y*(y - 2)/3
Let x(c) = -457*c**3 - 203*c**2 + 55*c + 31. Let v(r) = -31*r**2 - 104*r**2 - 305*r**3 + 23*r + 21 + 14*r. Let s(g) = -7*v(g) + 5*x(g). Factor s(m).
-2*(3*m - 1)*(5*m + 2)**2
Suppose -3*y = -2*n - 9 - 15, -2*y = n - 23. Let l be 5/(-8)*y/(-25). Suppose -1/4*f**3 + 0 + 0*f**2 + l*f = 0. What is f?
-1, 0, 1
Suppose 0 = 2*u - u + 4*c - 30, 2*u - 4*c = 120. Let a = u - 50. What is z in 0*z**2 + 1/4*z**5 + 0*z + 0*z**3 + a - 1/4*z**4 = 0?
0, 1
Let b(n) be the second derivative of n**6/60 - n**4/12 + n**2/2 + 2*n. Let q(s) be the first derivative of b(s). Determine h, given that q(h) = 0.
-1, 0, 1
Let x = 3/22 + 155/154. Factor 4/7*j + 0 - 2/7*j**4 + x*j**3 - 10/7*j**2.
-2*j*(j - 2)*(j - 1)**2/7
What is i in 3*i**2 + 0 - 3*i**4 - 3/2*i**5 + 6*i**3 - 9/2*i = 0?
-3, -1, 0, 1
What is w in w**4 - 3*w**4 + 11*w**3 - 11*w**3 - w**5 + w + 2*w**2 = 0?
-1, 0, 1
Let f(d) = -26*d - 76. Let i be f(-3). Factor 1/2 - s + 1/2*s**i.
(s - 1)**2/2
Let o(t) = -15*t + 48. Let v be o(3). Factor -1/2*h**2 - 3/2*h**4 + 3/2*h**v + 0 + 1/2*h**5 + 0*h.
h**2*(h - 1)**3/2
Let v be 5/((-2 - 0)/(-2)). Let o(x) be the first derivative of 1/9*x**4 - 8/9*x - 1 - 2/45*x**v - 4/9*x**2 + 2/9*x**3. Factor o(t).
-2*(t - 2)**2*(t + 1)**2/9
Let t be (-54)/168*(-7)/12. Let o(v) be the first derivative of -7/8*v**2 + 1/2*v - t*v**4 - 1 + 2/3*v**3. Let o(s) = 0. Calculate s.
2/3, 1
Let q(w) be the first derivative of -w**5/30 + w**3/9 - 3*w - 2. Let b(n) be the first derivative of q(n). Suppose b(s) = 0. What is s?
-1, 0, 1
Suppose -36/13*s**2 - 16/13*s + 106/13*s**3 + 0 + 126/13*s**4 = 0. What is s?
-1, -2/7, 0, 4/9
Let u(v) be the third derivative of v**7/30 - v**6/12 - 13*v**5/105 - v**4/21 - 34*v**2. Factor u(y).
y*(y - 2)*(7*y + 2)**2/7
Suppose 0 = -9*k + 10 + 8. Suppose -g**k + 1/4 - 3/4*g = 0. Calculate g.
-1, 1/4
Let k(o) = o + 18. Let u be k(-18). Factor 0*i**2 + u - 3/7*i**4 + 0*i + 3/7*i**3.
-3*i**3*(i - 1)/7
Let s be (-1 - 280/(-24)) + -10. Factor 0*r + 2/3*r**3 - s*r**4 + 2/3*r**2 + 0 - 2/3*r**5.
-2*r**2*(r - 1)*(r + 1)**2/3
Let y be (-2)/(-80)*6/9. Let o(v) be the third derivative of -y*v**5 + 0*v**3 + 0*v**4 - 1/336*v**8 - 2*v**2 + 0*v + 1/120*v**6 + 0 + 1/210*v**7. Factor o(d).
-d**2*(d - 1)**2*(d + 1)
Let 3*o - 2*o + 24*o**3 + 16*o**2 + 4*o**5 + 3*o + 16*o**4 = 0. Calculate o.
-1, 0
Let i be 3 - (8 + -5 + 0). Find q such that -2/3*q**2 + 4/3*q + i = 0.
0, 2
Let d(q) be the first derivative of 2/5*q - 2*q**2 + 10/3*q**3 - 1. Factor d(g).
2*(5*g - 1)**2/5
Find o such that 2/7*o + 1/7*o**2 - 3/7 = 0.
-3, 1
Let l(o) be the first derivative of o**9/756 - 3*o**8/560 + o**7/140 - o**6/360 + o**3/3 + 1. Let y(f) be the third derivative of l(f). Factor y(v).
v**2*(v - 1)**2*(4*v - 1)
Let k be 0/(-13) + (-2)/(-797). Let x = k - -15922/7173. Factor 10/9*u**4 - 20/9*u**3 - 2/9*u**5 + x*u**2 - 10/9*u + 2/9.
-2*(u - 1)**5/9
Let g(w) = -w**2 - 11*w - 3. Let o be g(-9). Suppose -o = -4*s + 5. Let -4*j**s + 0*j**3 + 2*j**5 - 2*j**4 + 0*j**3 = 0. What is j?
-1, 0
Let s(i) be the third derivative of i**5/20 + 7*i**4/48 + i**3/12 + 3*i**2. Solve s(r) = 0.
-1, -1/6
Let h be 5/3 + (-1 - 0). Let k(d) be the first derivative of 1/2*d**4 + h*d**3 - d**2 - 2*d - 2. Factor k(p).
2*(p - 1)*(p + 1)**2
Suppose -u + l = -5 + 1, 0 = u - 2*l - 3. Suppose -u + 3 = -a. Let -1/4*m**a + 0*m + 1/4 = 0. What is m?
-1, 1
Factor 36/7*h**2 + 2/7*h**4 + 16/7 - 40/7*h - 2*h**3.
2*(h - 2)**3*(h - 1)/7
Let o(r) = r**3 - 7*r**2 + 2*r - 10. Let c be o(7). Suppose c*l - 10 = -l. Factor 2*k**2 + 0*k**2 - 4*k**2 - l*k**5 + 2*k**3 + k**4 + k**4.
-2*k**2*(k - 1)**2*(k + 1)
Let r(i) be the first derivative of i**6/21 - 2*i**5/7 + 3*i**4/14 + 6*i**3/7 + 10. Factor r(v).
2*v**2*(v - 3)**2*(v + 1)/7
Let d be (6/4)/((-1)/4). Let j be 1*-2*d/42. Let 2/7*a**2 + 2/7*a**3 - 2/7*a + 0 - j*a**4 = 0. What is a?
-1, 0, 1
Let h be (-2 + -1)*(-40)/12. Factor -2*y + h - y**2 - 1 - 10.
-(y + 1)**2
Suppose -q = 5*o + 7, 1 + 6 = q - 2*o. Let 2 + 12*g**q - 13*g**3 - 5 + g + 3*g**2 = 0. What is g?
-1, 1, 3
Suppose 3*k = -1 + 7. Let b be (k + -2)/(4/(-2)). Factor 0 - 2/9*a**2 + b*a.
-2*a**2/9
Factor 1/6*v**2 + 0*v + 0.
v**2/6
Let k be (1 - -3)/(1 + 0). Suppose -3*v = -4*v + k. Factor -2*p**5 - 3*p**v + 4*p**3 + 4*p**2 - 1 + 0*p**4 - 2*p**3.
-(p - 1)*(p + 1)**3*(2*p - 1)
Let i = -69 + 73. Let y(k) be the third derivative of 1/18*k**i + 0*k - 1/630*k**7 - 2/45*k**5 - 3*k**2 + 0 + 1/72*k**6 + 0*k**3. Factor y(j).
-j*(j - 2)**2*(j - 1)/3
Let b(a) be the first derivative of -a**5 - 5*a**4/4 + 35*a**3/3 + 5*a**2/2 - 30*a + 7. Let b(w) = 0. What is w?
-3, -1, 1, 2
Let z be (-2)/(-1) + (1 - 1). Find k, given that -k**5 + k**3 + 4*k**4 - 5*k**3 + 4*k**z - 2*k**3 - k = 0.
0, 1
Let o be (0/(-1))/((-3)/(-5 + 2)). Suppose 5*n = -5*x + 3*x, -4*n + 5*x = 0. Solve n - 1/5*b**2 + o*b = 0 for b.
0
Let o(q) = -q**2 + q. Let d be (-1 - -1)/(11 + -10). Let h = d + 1. Let s(a) = -4*a**2 - 5*a - 3. Let b(k) = h*s(k) - o(k). Factor b(x).
-3*(x + 1)**2
What is p in 8*p - 2*p**2 + 8*p**2 - 5*p - 9*p**3 = 0?
-1/3, 0, 1
Factor 52*d - d**3 - 16 - 30*d**2 + 5/2*d**4.
(d - 2)**2*(d + 4)*(5*d - 2)/2
Let h(c) be the third derivative of -c**7/70 + c**5/20 - 3*c**2. Determine i, given that h(i) = 0.
-1, 0, 1
Suppose 2*h + 8 = 12. Let b(m) be the first derivative of -3*m**2 - 2/3*m**3 - 4*m - h. Factor b(g).
-2*(g + 1)*(g + 2)
Let o be -3 - 0 - (-8 + 2). Suppose -4*b = 0, 4*w + 5*b = 2*b + 28. Factor 4*a**2 - 3*a**3 + 4*a - 2*a + w*a**o - 2*a**3.
2*a*(a + 1)**2
Let i(f) be the second derivative of -f**6/30 + f**4/12 + 7*f. Factor i(d).
-d**2*(d - 1)*(d + 1)
Let r = 14 - 10. Let g(q) be the first derivative of 2 + 0*q**2 + 1/18*q**6 + 0*q**5 - 1/12*q**r + 0*q**3 + 0*q. Determine l, given that g(l) = 0.
-1, 0, 1
Let z(p) = -2*p - 5. Let h be z(-4). Factor 4 + 4*u**2 + 1 + 4*u - 2*u**2 - h.
2*(u + 1)**2
Let b(o) be the second derivative of o**8/168 + 2*o**7/105 - o**5/15 - o**4/12 - o**2 + 5*o. Let k(w) be the first derivative of b(w). Factor k(t).
2*t*(t - 1)*(t + 1)**3
Let p(l) be the third derivative of -l**6/120 + l**5/20 + l**2. Let k be p(3). Determine a, given that k + 4/5*a - 2/5*a**2 = 0.
0, 2
Let u(y) = -3*y + 22. Let f be u(9). Let a be ((-4)/20)/(f/15). Factor 0 - 3/5*j**5 + 6/5*j**2 - 6/5*j**4 + a*j + 0*j**3.
-3*j*(j - 1)*(j + 1)**3/5
Let w(t) be th