1, 0
Let b(o) be the second derivative of o**5/20 + o**4/3 + 5*o**3/6 + o**2 + 7*o. Find x, given that b(x) = 0.
-2, -1
Let j(t) be the first derivative of 2*t**2 - 1 + 0*t + 2*t**3 + 1/2*t**4. Suppose j(h) = 0. Calculate h.
-2, -1, 0
Factor -f**2 + 0*f**2 - 15*f**3 - 5*f**2 + 21*f**4.
3*f**2*(f - 1)*(7*f + 2)
Suppose 0 = 4*r + 20, -5*n + 2*r + 15 = -0*r. Let -4*p + 9/4*p**2 - n = 0. What is p?
-2/9, 2
Factor -9/2*c**3 + 3/4*c**4 - 9/2*c + 33/4*c**2 + 0.
3*c*(c - 3)*(c - 2)*(c - 1)/4
Let y(i) be the second derivative of -i**4/12 - i**3/6 + i**2/2 - 3*i. Let v(f) = 2*f**2 - f + 1. Let a(u) = v(u) - y(u). Factor a(k).
3*k**2
Let b(x) = -2*x**4 - 6*x**3 - 5*x**2 - 5*x. Let p = 9 - 14. Let m(y) = 2*y**4 + 5*y**3 + 4*y**2 + 4*y. Let w(i) = p*m(i) - 4*b(i). Factor w(s).
-s**3*(2*s + 1)
Let v(a) = -3*a**3 - a**2 + 9*a. Let x(r) = -2*r**3 + 5*r. Let y(s) = 2*s + 3. Let q be y(-4). Let k(z) = q*x(z) + 3*v(z). Solve k(o) = 0 for o.
0, 1, 2
Let o = 48436/5 - 9654. Let a = -33 + o. Let 0*m + 2/5*m**4 + 0 + 0*m**2 - a*m**3 = 0. What is m?
0, 1/2
Factor 1 + 1 - 8*g - 12 - 2*g**2 + 2.
-2*(g + 2)**2
Let -4*g - 2*g**3 + g + 0*g + 6*g**2 - g = 0. What is g?
0, 1, 2
Let u be 1 - (-5)/((-225)/39). Let n(h) be the first derivative of -3/5*h**2 - u*h**3 - 4/5*h - 3. Factor n(x).
-2*(x + 1)*(x + 2)/5
Determine t, given that 18/5*t**3 + 22/5*t**4 + 2/5*t**2 - 2/5*t + 8/5*t**5 + 0 = 0.
-1, 0, 1/4
Let u be 168/(-128)*(-4)/15. Let q = 1/20 + u. Factor 2/5*h**2 + q + 4/5*h.
2*(h + 1)**2/5
Factor -1/6*i**2 + 5/3 + 1/2*i.
-(i - 5)*(i + 2)/6
Let m = 173 - 171. Factor 2/7*f**5 + 0*f + 0 + 0*f**m + 2/7*f**3 - 4/7*f**4.
2*f**3*(f - 1)**2/7
Let s(h) = -h**2 + h + 2. Let m be s(0). Let g = 39 + -38. Factor 3/2*k**m - g - 1/2*k.
(k - 1)*(3*k + 2)/2
Let v(j) be the second derivative of -j**5 + 5*j**4/12 + 10*j**3/3 - 5*j**2/2 + 11*j. Determine m, given that v(m) = 0.
-1, 1/4, 1
Let m be 2/(-2 - (16/(-6) - 2)). Factor -1/4*y**3 - 5/4*y**2 + 1/4*y + m*y**4 + 1/2.
(y - 1)**2*(y + 1)*(3*y + 2)/4
Suppose -56 = -4*i + 2*i. Let x be 175/i*(-6)/(-10). Find g such that 0 + 3/2*g + x*g**2 = 0.
-2/5, 0
Let m = 108/7 - 613/42. Let r(a) be the second derivative of -m*a**4 - 7/3*a**3 + 0 - 2*a**2 - 3*a. Suppose r(t) = 0. What is t?
-1, -2/5
Let i(d) be the first derivative of 0*d + 1/120*d**6 + 0*d**3 + 0*d**5 - 1/2*d**2 - 1/24*d**4 + 1. Let y(a) be the second derivative of i(a). Factor y(t).
t*(t - 1)*(t + 1)
Let h be ((0/2)/2)/2. Let o(t) be the third derivative of -1/525*t**7 + 1/75*t**5 - 2*t**2 + h*t**4 + 0*t**3 + 0 + 0*t - 1/300*t**6. Let o(m) = 0. Calculate m.
-2, 0, 1
Let h(a) be the third derivative of a**7/1050 - a**5/300 + 9*a**2. Factor h(x).
x**2*(x - 1)*(x + 1)/5
Determine x so that 0*x**2 + 1/2*x**3 + 0*x**4 - 1/4*x + 0 - 1/4*x**5 = 0.
-1, 0, 1
Let r(l) = 2*l - 16. Let b be r(8). Let -2/9*c**4 + 0 + 2/9*c**3 + b*c**2 + 0*c = 0. Calculate c.
0, 1
Let g be ((-20)/30)/(2 + -3). Factor 1/3 + 1/3*k**2 - g*k.
(k - 1)**2/3
Suppose s = -3*s - 4*x + 36, -x = -5. Let w(k) be the first derivative of 4 + 0*k**2 + 0*k - 1/10*k**s - 2/15*k**3. Suppose w(i) = 0. Calculate i.
-1, 0
Let c(j) = j**5 + j**4 - j**2 + j. Let p(a) = -2*a**5 + 18*a**4 - 16*a**3 - 10*a**2 + 22*a - 8. Let i(f) = -2*c(f) + p(f). Find z, given that i(z) = 0.
-1, 1, 2
Let c(o) be the second derivative of -3/2*o**4 + 1/10*o**5 + 2*o**2 + 0 - 2*o + o**3 + 1/5*o**6. Determine j so that c(j) = 0.
-2, -1/3, 1
Suppose 2*l - 6 = -x, 0*x - 15 = l + 5*x. Solve -1 + 2*m**2 - 1/2*m**l + m**3 - m**4 - 1/2*m = 0.
-2, -1, 1
Suppose 0 = -o + 6 + 1. Let u = -5 + o. Factor u*t**2 - 4*t**2 + 5*t**2 - 2*t**2 - t.
t*(t - 1)
Suppose -4*z + 9*z + 80 = 0. Let j be (-82)/z - (-4)/(-32). Factor 0 + 2/7*c**2 - 2*c**4 - 8/7*c**j + 0*c - 4/7*c**3.
-2*c**2*(c + 1)**2*(4*c - 1)/7
Let c(v) be the second derivative of 1/20*v**5 + 0*v**4 + 1/20*v**6 + 0*v**2 - 6*v + 1/84*v**7 + 0 + 0*v**3. Find i such that c(i) = 0.
-2, -1, 0
Let h be 400/15*6/4. Factor 2 - 50*w**3 - 6*w - 2 + h*w**2 - 2*w.
-2*w*(5*w - 2)**2
Let s = 11 - 11. Let i(m) be the second derivative of -1/60*m**5 + 0 + 1/36*m**4 - m + s*m**2 + 0*m**3. Factor i(k).
-k**2*(k - 1)/3
Let k(c) be the second derivative of -c**5/60 + 2*c**3/9 - 5*c. Solve k(g) = 0.
-2, 0, 2
Let h(w) be the second derivative of -7*w**5/40 + w**4/2 + w**3/3 + 20*w. Solve h(j) = 0.
-2/7, 0, 2
Let f(g) = -g**3 + 4*g**2 + 3*g - 5. Let y be f(4). Let s(p) = -p + 8. Let i be s(6). Let 6*z**4 - z**5 + 9*z**i - z**5 - 6*z**3 - y*z**2 = 0. What is z?
0, 1
Let v(x) be the first derivative of 1/5*x**2 + 0*x**3 + 1 - 1/30*x**4 + 2*x. Let f(p) be the first derivative of v(p). Factor f(h).
-2*(h - 1)*(h + 1)/5
Let y = -131 - -397/3. Find i, given that y*i**2 + 0 - 2/3*i - 2/3*i**3 = 0.
0, 1
Let z(h) be the first derivative of -h - 5/12*h**3 - 2 - 1/16*h**4 - h**2. Factor z(j).
-(j + 1)*(j + 2)**2/4
Suppose -1/6*l**4 - 1/6*l**2 + 0 + 0*l - 1/3*l**3 = 0. What is l?
-1, 0
Let q(v) be the third derivative of v**6/240 + v**5/20 + 3*v**4/16 + v**3/3 + 8*v**2. Let q(l) = 0. Calculate l.
-4, -1
Let w = 1 + 3. Let h(l) be the third derivative of 0*l + 0*l**3 - 1/30*l**6 - 1/30*l**5 - 1/105*l**7 + 0 + 0*l**w - 2*l**2. Let h(s) = 0. Calculate s.
-1, 0
Suppose 0 = -3*l - 1 - 8. Let k be (2/l)/(5/(-30)). Let -8*s**4 - s + 8 - 8 + 4*s**2 + s**3 + k*s**4 = 0. What is s?
-1, 0, 1/4, 1
Let f(p) be the first derivative of p**6/9 + 2*p**5/15 - p**4/3 + 17. Factor f(n).
2*n**3*(n - 1)*(n + 2)/3
Factor 10*f - 5/2*f**2 + 0.
-5*f*(f - 4)/2
Let x be 1 + -1 + 1 + 1. Factor -2 - 1 - 2 + 6*w - 6*w**2 + x*w**3 + 3.
2*(w - 1)**3
Let -3/4 + 9/8*v**3 - 3*v**2 + 21/8*v = 0. Calculate v.
2/3, 1
Let o(w) be the first derivative of 2*w**5/5 + 8*w**4 + 128*w**3/3 - 34. What is h in o(h) = 0?
-8, 0
Let f(j) be the first derivative of -3*j**4/28 + j**3/7 + 3*j**2/7 - 2. Find m such that f(m) = 0.
-1, 0, 2
Let k(q) be the first derivative of 0*q - 3 - 4/3*q**3 + 0*q**2. Determine t so that k(t) = 0.
0
Let p(x) be the second derivative of -x**8/6720 - x**4/4 + x. Let w(h) be the third derivative of p(h). Let w(q) = 0. What is q?
0
Suppose -3*c + 0*c = -9. Factor c*a**2 - 1 - 2*a**2 + a**3 - 2*a + a**3.
(a - 1)*(a + 1)*(2*a + 1)
Let r(m) = m**3 - 24*m**2 - m + 28. Let a be r(24). Suppose -31/2*g**3 - 5*g**a + 2 + 2*g - 21/2*g**2 = 0. What is g?
-2, -1, -1/2, 2/5
Factor 1/5*x**2 - 2/5*x + 1/5*x**3 + 0.
x*(x - 1)*(x + 2)/5
Let l(v) be the second derivative of -v**7/2100 - v**6/450 - v**5/300 - v**3/6 + 9*v. Let g(z) be the second derivative of l(z). Solve g(n) = 0.
-1, 0
Let y = -14 + 16. Factor 3*w - y*w**3 - 5*w + 11*w**2 - 7*w**2.
-2*w*(w - 1)**2
Factor 1 + 49/4*c**2 + 7*c.
(7*c + 2)**2/4
Let j(p) = -p**2 - 32*p + 70. Let t be j(-34). Factor -1 - 5/4*c**2 + t*c + 1/4*c**3.
(c - 2)**2*(c - 1)/4
Suppose g = 6*g. Suppose g*a + 8*a = 16. Determine y, given that -2/9*y + 0 - 2/9*y**a = 0.
-1, 0
Suppose k = 4*p - 7, 4*k + 1 = 5*p - 5. What is f in 0*f**2 + 3*f - 2*f**p + f + 0*f = 0?
0, 2
Let o be (4/(-30))/(4/(-1506)). Let w = -50 + o. Determine m so that -1/5 - w*m**2 + 2/5*m = 0.
1
Factor -3*r**2 + 5*r**3 - 3*r**4 + 3*r**3 + r**3 + 6*r**4 - 9*r.
3*r*(r - 1)*(r + 1)*(r + 3)
Factor 0*j - 2/9*j**3 + 4/9*j**2 + 0.
-2*j**2*(j - 2)/9
Suppose 2*s - 15 = -3*s. Factor 17 + 4*q**s + 60*q**2 - 8*q**3 - 72*q - 1 - 10*q**3.
-2*(q - 2)**2*(7*q - 2)
Let g(l) be the third derivative of l**8/1008 - l**6/360 + 22*l**2. Solve g(b) = 0.
-1, 0, 1
Let r(x) be the third derivative of 2*x**7/105 - x**6/15 - 4*x**5/15 + x**4/3 + 2*x**3 - 20*x**2. Factor r(k).
4*(k - 3)*(k - 1)*(k + 1)**2
Let h = 859/2646 - 15/49. Let v(w) be the second derivative of 0 - w + 0*w**3 + h*w**4 - 1/9*w**2. Factor v(p).
2*(p - 1)*(p + 1)/9
Let d(s) be the second derivative of -s**6/120 + s**5/40 + 7*s**4/48 + s**3/6 + 8*s. Determine i so that d(i) = 0.
-1, 0, 4
Let v(d) be the first derivative of -2*d**5/25 - 3*d**4/10 + 36. Solve v(f) = 0 for f.
-3, 0
Let u(n) = n**2 - 8*n + 6. Let t be u(8). Suppose p + t = 3*p. Let 5*w**2 - w**3 + 2*w + 5*w**p - 2*w + w = 0. Calculate w.
-1, -1/4, 0
Let c = 16 + -23. Let i be (-16)/50*105/c. Factor -i*k - 128/5*k**3 - 96/5*k**2 - 2/5.
-2*(4*k + 1)**3/5
Solve -2*f**4 + 0 - 4/5*f**3 + 0*f**2 - 6/5*f**5 + 0*f = 0.
-1, -2/3, 0
Let n(f) be the third derivative of 1/36*f**6 - 4/315*f**7 - 