)**2*(s + 1)/9
Let y(p) be the second derivative of p**7/42 - p**6/6 + 7*p**5/20 - p**4/4 - 5*p. Factor y(t).
t**2*(t - 3)*(t - 1)**2
Let g(a) be the third derivative of a**8/90720 + a**7/22680 - a**5/15 + 2*a**2. Let s(f) be the third derivative of g(f). Determine k so that s(k) = 0.
-1, 0
Let q(b) be the first derivative of 8*b + 2/3*b**3 - 4*b**2 + 2. Factor q(v).
2*(v - 2)**2
Suppose -2*u + 0*u = -10. Let f(v) = -v**3 + 5*v**2 + 3. Let l be f(u). Suppose 0 + 0*r**2 - 1/4*r**4 + 0*r**l + 0*r = 0. What is r?
0
Find o such that -3/5*o - 1/10*o**4 + 1/2*o**2 + 0 + 1/5*o**3 = 0.
-2, 0, 1, 3
Let b = 5/4 + -21/20. Let q(h) be the second derivative of -3*h + 0*h**2 + 0*h**3 - 1/5*h**6 - b*h**5 + 0 + 1/6*h**4. Factor q(g).
-2*g**2*(g + 1)*(3*g - 1)
Let r(s) = -s**2 + 0 + 3 - 3*s + 4*s + 2*s. Let c be r(3). Factor -2/7*l**c + 0 + 2/7*l**2 + 0*l - 2/7*l**4 + 2/7*l**5.
2*l**2*(l - 1)**2*(l + 1)/7
Let j be (4/(-2) - 0) + (-48)/(-12). Factor -1/4*w**3 - 1/2 - w**j - 5/4*w.
-(w + 1)**2*(w + 2)/4
Let f(g) be the third derivative of 0*g + 1/6*g**3 + 1/900*g**6 + 0*g**4 + 1/300*g**5 + 0 + 2*g**2. Let x(q) be the first derivative of f(q). Factor x(d).
2*d*(d + 1)/5
Let l be 3 + (1/((-4)/20) - -5). Factor 16/13*o**2 - 10/13*o**l - 4/13 - 2/13*o.
-2*(o - 1)**2*(5*o + 2)/13
Suppose 7*m = m + 2*m. Let o(x) be the first derivative of -2/3*x**3 - x**2 + 1/2*x**4 + 2/5*x**5 + m*x - 4. Solve o(v) = 0 for v.
-1, 0, 1
Let o(h) = -h**3 - 5*h**2 - h + 4. Let t be o(-4). Let s = -5 - t. Let -a**3 + 0*a**s + 3*a**3 = 0. Calculate a.
0
Suppose 0*w + 2/5*w**4 + 0 - 4/5*w**3 + 2/5*w**2 = 0. Calculate w.
0, 1
Let p(u) be the third derivative of u**7/8820 + u**6/1260 - u**5/140 - u**4/8 + u**2. Let t(h) be the second derivative of p(h). What is c in t(c) = 0?
-3, 1
Let v be 0*(1 - (-4)/(-6)). Find n such that -1/3*n**2 + 1/3*n**3 + 1/3*n**4 + v + 0*n - 1/3*n**5 = 0.
-1, 0, 1
Let h(u) be the first derivative of 9/2*u + 1/6*u**3 + 4 + 3/2*u**2. Suppose h(j) = 0. What is j?
-3
Suppose 5*w = -4*q + 60, -w - q - q + 18 = 0. Suppose -2*g - 4*j = -w, 0 = -g + 3*j + 1 - 2. Factor 2/5*b**3 - 2/5*b**g + 0 - 4/5*b.
2*b*(b - 2)*(b + 1)/5
Let t = -2 + 7. Suppose -h = -6*h + t. What is d in d**2 + 0*d**3 - 3*d - h - 2*d**3 + d**3 + 4*d = 0?
-1, 1
Suppose -6*b = -2*b + 16. Let s be (b + (-34)/(-8))*2. Solve 2*z + 2 + s*z**2 = 0 for z.
-2
Let s(g) be the first derivative of -2*g**3/9 + g**2 - 6. Suppose s(d) = 0. Calculate d.
0, 3
Let h(k) be the second derivative of -k**4/18 - 10*k**3/9 - 25*k**2/3 + 4*k. Solve h(n) = 0.
-5
Determine l, given that 2/5*l**5 + 18/5*l**3 + 2*l**4 + 14/5*l**2 + 0 + 4/5*l = 0.
-2, -1, 0
Let z = 2 + 1. Find y such that 0 - 2/3*y**5 + 0*y - 2/3*y**2 + 2/3*y**z + 2/3*y**4 = 0.
-1, 0, 1
Let a(h) be the second derivative of -h**7/336 + h**6/240 + h**5/160 - h**4/96 + 17*h. Suppose a(x) = 0. What is x?
-1, 0, 1
Let w(n) be the third derivative of -n**7/210 + n**6/72 - n**5/180 - n**4/72 - 17*n**2. Factor w(s).
-s*(s - 1)**2*(3*s + 1)/3
Let q = 2 + 0. Determine f, given that 10 - f**3 - f**q - 10 = 0.
-1, 0
Let t be (-9)/(-3) + 2*-2. Let y = 2 - t. Find r such that 2/5*r - 4/5*r**2 + 2/5*r**y + 0 = 0.
0, 1
Let g(j) = 6*j**4 - 4*j**2 - 2. Let m(t) = -3 - 3*t**4 - 4*t**4 + 6 + 2*t**2 + 3*t**2 - t**3. Let h(y) = 3*g(y) + 2*m(y). Solve h(a) = 0.
-1/2, 0, 1
Let k(u) = -4*u**2 + 2*u + 2. Let a(q) = q**3 + 3*q**2 + 3*q + 2. Let r be a(-4). Let s(f) = 17*f**2 - 9*f - 8. Let h(d) = r*k(d) - 6*s(d). Factor h(x).
2*(x - 1)*(x + 2)
Suppose 0 = 3*j + 4*a - 3*a - 8, 0 = j - 2*a - 5. Factor -3*h**2 + 3*h**2 - 4*h**3 - j*h**2 + 4*h + 7*h**2 - 4.
-4*(h - 1)**2*(h + 1)
Suppose q - f = f + 29, -72 = -4*q - 3*f. Factor -q + 54*z**2 - 3 + 14*z + 22*z + 23*z**3 - 8*z**3.
3*(z + 2)**2*(5*z - 2)
Let b be (2*(-5)/(-20))/4. Let o(j) be the first derivative of 0*j + 1/8*j**2 - 3 + 0*j**5 + 1/24*j**6 + 0*j**3 - b*j**4. Find a such that o(a) = 0.
-1, 0, 1
Let i(q) be the third derivative of -1/210*q**6 + 0 + 0*q + 1/210*q**5 - 1/735*q**7 + 1/42*q**4 + 0*q**3 - 4*q**2. Find d, given that i(d) = 0.
-2, -1, 0, 1
Let u(s) be the first derivative of -2*s**3/21 + 3*s**2/7 + 13. Find g, given that u(g) = 0.
0, 3
Solve 16/3*j + 40/3*j**2 + 32/3*j**3 + 2/3 = 0.
-1/2, -1/4
Let l(d) = -5*d**2 - d. Let k be l(1). Let o be 3/(-2) - 27/k. Determine y so that -4*y + 3*y**o - y + y + 2 + y**3 - 2*y**4 = 0.
-1, 1
Let a(y) = -y - 3. Suppose 5*l = -p - 23, -5*l + 3*p = 18 + 13. Let x be a(l). Determine h, given that 2/5*h**3 + 0*h**x + 0 - 2/5*h = 0.
-1, 0, 1
Let m(f) = 2*f**2 + 7*f + 5. Let l be m(-5). Let a = l + -39/2. Determine y, given that 0*y + 0*y**3 - 1/2*y**4 + a*y**2 + 0 = 0.
-1, 0, 1
Let x(z) be the second derivative of -2*z**6/15 + 2*z**4/3 - 2*z**2 + 4*z. Solve x(a) = 0 for a.
-1, 1
Let a(m) be the third derivative of m**6/60 - m**5/30 - 4*m**2. Let a(h) = 0. What is h?
0, 1
Let f = 0 + 5. Suppose -3*m + t + t + 14 = 0, 2*m + t = 7. Determine a, given that -4/3*a**3 - 1/3*a**f - 2/3*a**2 - 2/3 + 5/3*a + 4/3*a**m = 0.
-1, 1, 2
Let f = 4046/5 - 806. Suppose 8/5*o + 2/5*o**4 + 0 + 2*o**3 + f*o**2 = 0. Calculate o.
-2, -1, 0
Let l(f) be the second derivative of -4*f**7/525 + f**5/50 + f**4/60 + 3*f**2 - 6*f. Let h(s) be the first derivative of l(s). Factor h(g).
-2*g*(g - 1)*(2*g + 1)**2/5
Let y be (-6)/(-585)*245 - 2/(-13). Factor y*i**2 + 0 + 12*i**3 + 0*i + 28/3*i**4.
4*i**2*(i + 1)*(7*i + 2)/3
Let p(t) = -t**3 + 2*t**3 + 0*t + t. Let k(c) = -2*c**3 - 5*c**2 + 5*c - 4. Suppose -2 = 4*v + 6. Let g(i) = v*k(i) - 6*p(i). Factor g(b).
-2*(b - 2)**2*(b - 1)
Let q(r) be the first derivative of -r**8/560 - r**7/140 + r**5/20 + r**4/8 + r**3/3 + 2. Let w(f) be the third derivative of q(f). Factor w(y).
-3*(y - 1)*(y + 1)**3
Let q(o) = o**2 - 2*o - 3. Let a(v) = 3*v**2 - 7*v - 10. Let m be (-6)/(-3)*-7*-1. Let h(z) = m*q(z) - 4*a(z). Factor h(s).
2*(s - 1)*(s + 1)
Let k(n) = 16*n**2 - n + 5. Let u(m) = -3*m**2 - 1. Let r(b) = -2*k(b) - 11*u(b). Determine i, given that r(i) = 0.
-1
Let v = 8/39 - -6/13. Suppose -v*z**2 + 0 + 2/3*z = 0. What is z?
0, 1
Let m(s) be the third derivative of s**6/200 - s**5/25 + s**4/10 - 3*s**2. Factor m(y).
3*y*(y - 2)**2/5
Let u(w) be the second derivative of -w**8/2016 - w**7/630 + w**6/540 - 2*w**3/3 + 2*w. Let x(p) be the second derivative of u(p). Factor x(q).
-q**2*(q + 2)*(5*q - 2)/6
Factor -2/19 + 0*k + 0*k**3 + 4/19*k**2 - 2/19*k**4.
-2*(k - 1)**2*(k + 1)**2/19
Suppose -h - h + 6 = 0. Suppose -5*l = d + 2, -2*d = -l + 1 + h. Solve 3/2*f - 1 + f**2 + 1/2*f**5 - 2*f**3 + l*f**4 = 0.
-2, -1, 1
Factor -35*d - 4*d + 6 + 17*d**2 + 55*d**2 + 12*d**4 - 51*d**3.
3*(d - 2)*(d - 1)**2*(4*d - 1)
Let d be (-8)/40 + 21/5. Let a be (-9)/(-3) + (2 - 3). Determine g, given that -g - 2/3 + d*g**a - 7/3*g**3 = 0.
-2/7, 1
Suppose -3*x + 7 + 2 = 0. Determine m so that -m + x*m**3 + 3*m**3 + m + 3*m**4 = 0.
-2, 0
Let i be 13/(-104) - (-89)/72. Let 0*o + 8/9 - 2*o**5 + i*o**3 - 10/3*o**2 + 10/3*o**4 = 0. Calculate o.
-2/3, 1
Suppose -7*w + 11*w = 20. Find l such that 3*l - 21*l**3 + 19*l**3 - 3*l + 2*l**w = 0.
-1, 0, 1
Let w(a) be the first derivative of 5 - 1/2*a**4 + 0*a**2 - 1/24*a**6 + 1/3*a**3 + 1/4*a**5 + 0*a. Determine j, given that w(j) = 0.
0, 1, 2
Let v(z) = -2*z - 4 + 2*z + 0*z + z. Let s be v(6). Factor -4*x**2 - 2 - 3*x + 2*x**s - x.
-2*(x + 1)**2
Factor 1/4*q**4 + 0*q - 1/2*q**2 - 1/4*q**3 + 0.
q**2*(q - 2)*(q + 1)/4
Let n = 31/66 - -1/33. Let m be (-396)/176*1/(-3). Find h such that -1/4 - m*h - n*h**2 = 0.
-1, -1/2
Let l(d) be the third derivative of d**5/120 + d**4/48 - d**3/6 + 5*d**2. Let l(r) = 0. What is r?
-2, 1
Let r(b) = -33*b**5 + 123*b**4 - 105*b**3 + 57*b**2 + 6*b. Let v(g) = g**5 + g**3 + g**2 + g. Let c(a) = r(a) - 12*v(a). What is x in c(x) = 0?
0, 1/3, 2/5, 1
Let b(g) = -g**2 + 5*g - 5. Let u be b(5). Let n = 10 + u. Factor 4*z**4 + 2*z**2 - 2*z**2 - z**n - 3*z**4.
-z**4*(z - 1)
Let d(n) be the second derivative of -n**4/6 + 2*n**3/3 - n**2 - 2*n - 36. Find j such that d(j) = 0.
1
Let n(r) be the third derivative of -r**6/960 - r**5/120 - 5*r**4/192 - r**3/24 - 2*r**2. Factor n(j).
-(j + 1)**2*(j + 2)/8
Suppose 7 = 3*l + 1. What is v in v**l + 0*v - 4*v + 5*v = 0?
-1, 0
Let m = -15 + 22. Let h(a) be the third derivative of 0 - 1/24*a**4 + 0*a + 0*a**3 + 1/60*a**