2/4
Suppose 0 = -2*k + 2*s - 2, -5*s = -4*k + 97 - 105. What is q in 12/7*q**k + 8/7*q**4 + 8/7 - 16/7*q**2 - 12/7*q = 0?
-2, -1, 1/2, 1
Suppose -4*l + 4 = -2*z - 8, 3*z - 15 = -5*l. Let j = 5 + -1. Factor j*t**4 - l*t**2 + 3*t**3 - t**4 - 4*t**4 + t.
-t*(t - 1)**3
Let i(c) be the third derivative of 5*c**8/336 + c**7/14 + c**6/24 - c**5/4 - 5*c**4/12 + 3*c**2. Determine a, given that i(a) = 0.
-2, -1, 0, 1
Let s(x) be the second derivative of -x**8/3360 - x**7/630 - x**6/360 + x**4/4 - x. Let o(w) be the third derivative of s(w). Factor o(b).
-2*b*(b + 1)**2
Let g = 30033 - 272083/9. Let l = -198 - g. Let 14/9*o**3 - 10/9*o**4 + 0*o - l*o**2 + 0 = 0. Calculate o.
0, 2/5, 1
Let p = 265757/105 - 2531. Let d = 32/105 - p. Factor -d*i**2 + 4/7 + 2/7*i.
-2*(i - 2)*(i + 1)/7
Factor -2 - 94*j**2 - 3*j - 2 + 95*j**2.
(j - 4)*(j + 1)
Let q(h) be the first derivative of 2*h**3/15 - 2*h**2 + 10*h - 15. Factor q(v).
2*(v - 5)**2/5
Let o(m) be the first derivative of -5*m**6/6 - 6*m**5 - 15*m**4 - 40*m**3/3 - 54. Suppose o(c) = 0. Calculate c.
-2, 0
Let m(c) be the first derivative of -c + 1/30*c**4 - 1 + 2/15*c**3 + 1/5*c**2. Let d(o) be the first derivative of m(o). Factor d(h).
2*(h + 1)**2/5
Let f = 9 + -7. Determine t so that -t**2 - 2*t**2 - 3*t - f*t**2 + 2*t**2 = 0.
-1, 0
Let j(q) be the first derivative of -2*q**3/51 - q**2/17 + 4*q/17 + 5. What is a in j(a) = 0?
-2, 1
Let a(g) = g - 1. Let z(y) = y - 1. Let i(w) = -6*a(w) + 5*z(w). Let x be i(-1). Let 0*s**2 - 4*s**2 + 2*s**2 - 3*s + 6 - s**x = 0. Calculate s.
-2, 1
Let n(h) be the second derivative of h**7/126 - h**5/30 + h**3/18 - h. Let n(z) = 0. Calculate z.
-1, 0, 1
Let q(o) be the second derivative of -o**7/21 - o**6/6 - 3*o**5/20 + o**4/12 + o**3/6 - 20*o. Factor q(p).
-p*(p + 1)**3*(2*p - 1)
Let x(n) be the third derivative of -n**6/120 + n**5/30 - n**4/24 - 6*n**2. Solve x(w) = 0.
0, 1
Let j(q) be the first derivative of 0*q**2 + 4/25*q**5 + 0*q + 1/15*q**6 + 0*q**3 + 0*q**4 - 3. Factor j(t).
2*t**4*(t + 2)/5
Let y(x) = -x**3 + 9*x**2 - 11. Let b be y(9). Let a(i) = i**2 + 13*i + 24. Let v be a(b). Let 0 - 1/5*n**v - 1/5*n = 0. What is n?
-1, 0
Let a(r) be the first derivative of r**5/60 + 5*r**2/2 + 1. Let m(n) be the second derivative of a(n). Determine l, given that m(l) = 0.
0
Let g(j) be the second derivative of -j**5/70 + j**4/42 + j**3/21 - j**2/7 + 8*j. Factor g(h).
-2*(h - 1)**2*(h + 1)/7
Suppose -12 = 2*q - 8*q. Find g such that 2/9*g**4 + 10/9*g**q + 0 + 8/9*g**3 + 4/9*g = 0.
-2, -1, 0
Let v(w) be the second derivative of w**6/195 - w**5/65 - w**4/26 + 8*w**3/39 - 4*w**2/13 - 5*w. Suppose v(g) = 0. Calculate g.
-2, 1, 2
Suppose 28 = 5*k + 4*h, 0 = 4*k + h - 14 - 4. Let t(a) be the second derivative of 0*a**2 + 0 + 2/9*a**3 - 1/18*a**k + 2*a. Solve t(w) = 0.
0, 2
Let -10 - 2*r + 0 + 5*r**2 - 3*r = 0. What is r?
-1, 2
Let k = 185/3 - 61. Let l be 6/(-15) + ((-16)/(-15))/1. Find a such that -k*a + l*a**2 + 0 = 0.
0, 1
Let s be -5 + 3 + 1 - -3. Let k(a) be the second derivative of -4*a + 1/2*a**4 + 0*a**3 + 0*a**s + 0 - 3/20*a**5. Factor k(b).
-3*b**2*(b - 2)
Solve 0*i + 6/13*i**4 + 0*i**3 + 0*i**2 + 2/13*i**5 + 0 = 0.
-3, 0
Let x be (-19)/(-12) + (21 - 22). Let l = -1/12 + x. Factor l*v**2 + 0 - 1/2*v.
v*(v - 1)/2
Let w(v) be the third derivative of -v**7/210 - v**6/30 - v**5/30 + v**4/6 + v**3/2 - v**2. Determine c, given that w(c) = 0.
-3, -1, 1
Let k(x) be the first derivative of 3/10*x**2 - 1/15*x**3 + 2 - 2/5*x. Factor k(j).
-(j - 2)*(j - 1)/5
Let m = 1/8 + 0. Let u(a) be the first derivative of 0*a + 0*a**3 + m*a**4 - 4 - 1/4*a**2. Factor u(v).
v*(v - 1)*(v + 1)/2
Let k = -12/7 + 31/14. Let r(n) be the first derivative of 1 - 7/8*n**4 - 1/10*n**5 + 1/4*n**2 + k*n**6 + 1/6*n**3 + 0*n. Find m, given that r(m) = 0.
-1, -1/3, 0, 1/2, 1
Let q be (12/45)/(0 + 24/20). Find n, given that 0 - q*n**2 - 2/9*n**3 + 2/9*n + 2/9*n**4 = 0.
-1, 0, 1
Let u(y) = -7*y**3 + 12*y**2 - 12*y + 4. Let m(x) = x**3 - 1. Let n(c) = 4*m(c) + u(c). Let n(p) = 0. Calculate p.
0, 2
Determine h so that -3*h**4 + h**3 - 6*h + 3*h**2 + 6*h**3 - h**3 = 0.
-1, 0, 1, 2
Let h(t) be the first derivative of 3*t**5/5 + 9*t**4/2 + 12*t**3 + 12*t**2 + 3. Suppose h(q) = 0. Calculate q.
-2, 0
Let l(m) be the third derivative of -m**5/120 + m**4/48 + m**3/6 + m**2. Determine i, given that l(i) = 0.
-1, 2
Let n(w) be the first derivative of -2*w**6/15 + w**4/5 - 6. Factor n(i).
-4*i**3*(i - 1)*(i + 1)/5
Let b(o) = -o**3 + 5*o - 2. Let m(f) = 6*f**3 - f**2 - 31*f + 13. Let k(y) = -39*b(y) - 6*m(y). Factor k(g).
3*g*(g - 1)*(g + 3)
Suppose 0 = y - 4 - 1. Factor -3*w**2 + 4*w**2 - y + 4.
(w - 1)*(w + 1)
Let p(j) = -10*j**2 - 31*j + 11. Let g(n) = -2*n**2 - 6*n + 2. Let k be 1/(-2) + (-5)/(-2). Let w(d) = k*p(d) - 11*g(d). Find q, given that w(q) = 0.
-2, 0
Let s(m) be the third derivative of m**2 + 1/120*m**5 + 0 + 1/6*m**3 - 1/16*m**4 + 0*m. Factor s(j).
(j - 2)*(j - 1)/2
Let s(l) be the third derivative of l**6/1260 - l**5/105 + l**4/21 - l**3/6 - 2*l**2. Let z(h) be the first derivative of s(h). Factor z(u).
2*(u - 2)**2/7
Let x(h) be the third derivative of -h**5/300 + h**4/60 - h**2 + 7*h. Determine m, given that x(m) = 0.
0, 2
Let b(t) be the first derivative of t**3 - 3*t - 3/2*t**2 + 3/4*t**4 - 3. Find y, given that b(y) = 0.
-1, 1
Let z(f) be the third derivative of f**6/40 - f**5/20 - f**4/8 + f**3/2 - 7*f**2. Factor z(n).
3*(n - 1)**2*(n + 1)
Let k(q) = 2*q + 4. Let h be k(-2). What is o in -4/9*o**4 + h + 0*o**3 + 4/9*o**2 + 2/9*o**5 - 2/9*o = 0?
-1, 0, 1
Let -1/3*d - 1/3*d**2 + 0 - 1/12*d**3 = 0. Calculate d.
-2, 0
Determine v so that 0 - 3*v**2 + 1/2*v**3 + 9/2*v = 0.
0, 3
Let d be (-9 - -8)/((-1)/2). What is j in -2/3*j + 0 + 2/3*j**d = 0?
0, 1
Let d(g) be the second derivative of g**7/21 - g**6/15 + 15*g. Factor d(b).
2*b**4*(b - 1)
Let l = 22 - 43/2. Solve 1/2 - l*c + 1/2*c**3 - 1/2*c**2 = 0 for c.
-1, 1
Let h = -6 - -9. Suppose -a**4 - 6*a**h - 2*a**2 - 5*a**4 - 2*a**5 + 0*a**4 = 0. What is a?
-1, 0
Determine y so that 80/3*y + 54*y**3 + 8/3 + 78*y**2 = 0.
-1, -2/9
Let r be ((-2)/4)/(1/(-4)). Factor -3*c**2 - c + 0*c**2 + 0*c + r*c**2.
-c*(c + 1)
Let b(a) be the second derivative of a + 0*a**2 + 3/20*a**5 + 1/4*a**4 + 0*a**3 - 1/5*a**6 + 0. Factor b(f).
-3*f**2*(f - 1)*(2*f + 1)
Let g = 8 + -6. Let u be ((-6)/(-12))/(g/8). Factor -2 + 0*s + 2*s + u - s**2.
-s*(s - 2)
Suppose -4*v = -8*v. Let i(h) be the third derivative of 1/60*h**7 + v*h + 0 - 1/48*h**4 - h**2 + 1/8*h**5 - 19/240*h**6 - 1/6*h**3. What is d in i(d) = 0?
-2/7, 1
Let p(r) be the first derivative of -3*r**5/10 + 3*r**4/8 + 2*r**3 - 3*r**2 + 25. Factor p(a).
-3*a*(a - 2)*(a - 1)*(a + 2)/2
Let j(x) be the third derivative of x**7/525 - x**5/50 + x**4/30 + 4*x**2. Factor j(d).
2*d*(d - 1)**2*(d + 2)/5
Suppose -3*l + 9 = -5*v, 6 + 3 = -3*v. Let p be (-13)/(-26) + l/4. Let p*w**2 - 2/3*w**3 - 4/3 + 2*w = 0. What is w?
-2, 1
Let h be (464/120)/(2/(-40)). Let b = h + 78. Factor b*u**2 + 0 + 0*u - 2/3*u**4 + 0*u**3.
-2*u**2*(u - 1)*(u + 1)/3
Let f(b) be the first derivative of b**5/5 - b**4/4 - 2*b**3/3 + 8. Factor f(p).
p**2*(p - 2)*(p + 1)
Let m = -177/2 + 861/10. Let v = m + 53/20. Determine h so that 1/4*h**3 - v*h**2 + 0 - 1/4*h + 1/4*h**4 = 0.
-1, 0, 1
Let c = 166/111 + -6/37. Suppose 2/3*j - 4/3*j**2 - c*j**3 + 2/3*j**4 + 2/3*j**5 + 2/3 = 0. Calculate j.
-1, 1
Let l be 11/2 - 2/4. Let 0 + 0*r - 14*r**4 + 38*r**3 + l - 1 - 30*r**2 + 2*r = 0. What is r?
-2/7, 1
Let v(j) be the third derivative of j**7/210 + j**6/30 + j**5/10 + j**4/6 + j**3/6 - 8*j**2. Suppose v(a) = 0. What is a?
-1
Let z be (3 + -1*58)*4. Let t be ((-32)/z)/4*115. Factor -26/11*v - 14/11*v**4 - t*v**3 - 54/11*v**2 - 4/11.
-2*(v + 1)**3*(7*v + 2)/11
Let q be (-19)/(-5) - (-4)/20. Factor -9*y**2 + 19*y**2 - 3*y**3 - q*y**2.
-3*y**2*(y - 2)
Let v be 1 + -3 - -1*3. Suppose -v + 9 = 4*p. Let o(w) = w**2 - w + 7. Let i(g) = g + 1. Let b(s) = p*o(s) - 6*i(s). Factor b(n).
2*(n - 2)**2
Let p = 23 - 14. Let r = -6 + p. Factor -3*i**5 - 3*i**r - 6*i**4 - 3 + 3.
-3*i**3*(i + 1)**2
Let p(n) = 6*n**3 - 20*n**2 + 42*n - 8. Let o(b) = 2*b**3 - 7*b**2 + 14*b - 3. Let y(u) = 10*o(u) - 3*p(u). Factor y(x).
2*(x - 3)*(x - 1)**2
Let y(h) be the first derivative of 0*h + 3/4*h**2 + 0*h**3 -