0. Let y be (-2)/(-7) + -4*i/700. Find d, given that 0 + 3/5*d**2 + y*d**3 - 3/5*d - 3/5*d**4 = 0.
-1, 0, 1
Suppose 2*z + z = 6. Suppose 9*b - z*b**2 + 5*b**2 - b + 4 + b**2 = 0. What is b?
-1
Let z = 706 + -700. Let t(w) be the first derivative of -1/6*w**3 + w + 1/4*w**2 - z. Solve t(h) = 0.
-1, 2
Let u be 13 + (7 + 150/(-20))*22. Find t such that 2/3*t**3 + 0 + 0*t + 0*t**u = 0.
0
Factor 0 + 0*v - 140*v**3 + 65/2*v**4 + 200*v**2 - 5/2*v**5.
-5*v**2*(v - 5)*(v - 4)**2/2
Let j = -2811/4 - -703. Let 0 + 3/4*d + j*d**2 = 0. Calculate d.
-3, 0
Let p(h) = h**2 - 3*h + 2. Let x = 100 - 139. Let f(q) = -6*q**2 + 17*q - 13. Let u(b) = x*p(b) - 6*f(b). Let u(w) = 0. Calculate w.
0, 5
Find q, given that -4/7*q**3 - 8/7*q**2 + 44/7*q + 48/7 = 0.
-4, -1, 3
Let s be ((5/15)/((-4)/48))/(-3). Factor 2*a - s - 2/3*a**2.
-2*(a - 2)*(a - 1)/3
Let b(n) be the first derivative of -2/39*n**3 - 128/13*n + 3 - 16/13*n**2. Solve b(x) = 0.
-8
Let j = 27 + -20. Factor d**2 - j*d + 3*d**2 - 9*d + 4*d + 8.
4*(d - 2)*(d - 1)
Let l be (-2)/(-26) - (-1025)/533. Factor 16/5*k**l - 4/5*k**4 - 2/5*k**5 + 4/5*k**3 + 4/5 + 14/5*k.
-2*(k - 2)*(k + 1)**4/5
Let g = -8211 - -8211. Factor -3/4*u**4 - 3/4*u**3 + 0*u - 1/4*u**2 + g - 1/4*u**5.
-u**2*(u + 1)**3/4
Suppose -53*k - 15*k + 136 = 0. Determine o, given that 6/7 - 3/7*o - 3/7*o**k = 0.
-2, 1
Let w(k) be the first derivative of -k**7/210 - 13*k**3/3 + 15. Let y(z) be the third derivative of w(z). Find n such that y(n) = 0.
0
Factor 9/10*m - 1/10*m**3 + 3/10*m**2 - 27/10.
-(m - 3)**2*(m + 3)/10
Let w be 32/(4/(-1))*1/2. Let x be (-77)/(-14) + (-2)/w + -3. Let -1/2*q**4 + 2*q**3 + 2*q - 1/2 - x*q**2 = 0. Calculate q.
1
Suppose 0 = -66*w + 67*w - 4. Let o be (3 + -4 + 1)/w. Factor -2/9*i**2 + 2/9*i**3 + o - 4/9*i.
2*i*(i - 2)*(i + 1)/9
Let v be (-12)/(-7) - (-4 + (-52)/(-14)). Factor -3 + 5*b**2 - 8*b - 13*b**v + 1.
-2*(2*b + 1)**2
Let j(y) be the third derivative of y**9/1680 - y**8/560 + y**7/840 - 5*y**4/8 + 13*y**2. Let t(g) be the second derivative of j(g). Factor t(c).
3*c**2*(c - 1)*(3*c - 1)
Factor -556/7*o**3 - 1940/7*o**2 - 76/7*o**4 - 2000/7 - 3200/7*o - 4/7*o**5.
-4*(o + 2)**2*(o + 5)**3/7
Suppose 11*u - 152 - 508 = 0. Determine d, given that -16 - 9 - 25*d**2 - 14 + u*d + 3 = 0.
6/5
Let c(t) be the second derivative of 1/126*t**7 - 1/3*t**2 - 6*t + 1/18*t**4 + 0 + 1/6*t**3 + 0*t**6 - 1/15*t**5. Factor c(j).
(j - 1)**3*(j + 1)*(j + 2)/3
Determine k so that 6/11*k**3 + 448/11*k + 100/11*k**2 + 256/11 = 0.
-8, -2/3
Let u be 2 + -1 + 10/(-30)*-3. Suppose 3/2*k**u + 0 - 9*k + 3/2*k**3 = 0. Calculate k.
-3, 0, 2
Let x be (-117)/78 - (-106)/28. Factor -32/7 - 2/7*j**2 - x*j.
-2*(j + 4)**2/7
Determine o, given that -2*o**5 - 4*o**5 + 4*o**5 + 33*o**3 + 80*o**2 - 3*o**5 + 25*o**4 + 77*o**3 = 0.
-2, -1, 0, 8
Suppose 4/3*b**4 + 0*b - 8/3*b**2 + 4/3*b**3 + 0 = 0. Calculate b.
-2, 0, 1
Let x be 2*(4 - 36/8). Let l be 6 + -9 + x + 6/1. Determine q, given that 3/4*q - 3/8 - 3/8*q**l = 0.
1
Factor -w**2 - 31/2*w - 15/2.
-(w + 15)*(2*w + 1)/2
Let o(v) be the third derivative of -1/180*v**5 - 13*v**2 - 1/144*v**6 + 0*v - 1/2016*v**8 + 0*v**3 - 1/315*v**7 + 0 + 0*v**4. Factor o(p).
-p**2*(p + 1)**2*(p + 2)/6
Let r = -8 - -14. Suppose 5*u - 5*a = -4*a + r, 2*u + 5*a = 24. Factor u*t + 1/4*t**3 + 1 + 5/4*t**2.
(t + 1)*(t + 2)**2/4
Let x(m) = -13*m**4 - 58*m**3 - 61*m**2 + 139*m - 7. Let t(p) = -7*p**4 - 28*p**3 - 31*p**2 + 70*p - 4. Let j(f) = 7*t(f) - 4*x(f). What is l in j(l) = 0?
-11, -2, 0, 1
Suppose -2*w - 14 = -3*a, -25 = -3*a + 3*w - 10. Let u = -4 - -9. Factor 0 + 4/7*j**a + 0*j + 0*j**2 + 2/7*j**u + 2/7*j**3.
2*j**3*(j + 1)**2/7
Suppose 3*v = y - 27, -431*v + 433*v + 3 = -y. Solve 18*s - 9/2*s**4 - 12 + y*s**2 - 21/2*s**3 = 0.
-2, 2/3, 1
Let o(l) be the second derivative of 1/6*l**3 - 42*l + 0 + 0*l**2 + 1/36*l**4. Factor o(k).
k*(k + 3)/3
Let s(v) be the first derivative of -v**6/12 - 19*v**5/10 + 17. Factor s(i).
-i**4*(i + 19)/2
Determine p, given that 16*p**4 - 30*p - 8*p**2 - 570*p**5 - 8 + 574*p**5 + 10*p + 16*p**3 = 0.
-2, -1, 1
Find x, given that 5/2*x**4 - 5/4*x**3 - 5/4*x**5 + 0*x + 0*x**2 + 0 = 0.
0, 1
Let y(c) be the third derivative of -27*c**8/448 + 9*c**6/80 + c**5/10 + c**4/32 - c**2 + 6. Find m, given that y(m) = 0.
-1/3, 0, 1
Suppose 2*c - 4*c + 4*i + 36 = 0, -3*i = -4*c + 47. Suppose -5*w = -c*w. Factor -6*s**2 + 3*s**3 + 2*s + 0*s**2 + s + w*s**3.
3*s*(s - 1)**2
Factor 0 + 0*c - 18/13*c**2 + 10/13*c**4 + 6/13*c**3 + 2/13*c**5.
2*c**2*(c - 1)*(c + 3)**2/13
Let l(i) be the second derivative of i**7/378 + 4*i**6/135 + i**5/9 + 5*i**4/54 - 7*i**3/18 - i**2 - 53*i. Let l(z) = 0. What is z?
-3, -2, -1, 1
Suppose 1 = 3*n - 23. Solve -2*c**3 + 123 + n*c + 133 - 2*c**2 - 248 = 0.
-2, -1, 2
Let f(r) be the second derivative of 5*r**9/3024 + r**8/336 - r**7/84 + 7*r**3/6 + 33*r. Let w(d) be the second derivative of f(d). What is g in w(g) = 0?
-2, 0, 1
Find a, given that 41*a - 65*a**3 - 68*a**3 - 81*a**2 + 199*a**3 - 68*a**3 = 0.
-41, 0, 1/2
Let k(y) be the first derivative of 0*y**3 + 1/3*y**2 - 17 - 1/6*y**4 + 1/15*y**5 - 1/3*y. Factor k(c).
(c - 1)**3*(c + 1)/3
Let h = 53 - 48. Factor 55*s - h*s**2 - 25*s + 8 - 33.
-5*(s - 5)*(s - 1)
Let p be 2/(-7) + ((-999)/(-63))/3. Factor -4*b - 6*b**2 + b**2 + p*b**2 - 2*b**2.
-2*b*(b + 2)
Factor -12*b - 2/13*b**2 - 234.
-2*(b + 39)**2/13
Let i be (2/(-3))/(2/(-6)). Suppose -i*z = 3*z - 15. Factor -z*g**4 + g**4 + 2*g**2 + 0*g**4.
-2*g**2*(g - 1)*(g + 1)
Let b(v) be the second derivative of -8*v + 1/18*v**4 - 1/3*v**2 + 0 + 0*v**3. Suppose b(t) = 0. What is t?
-1, 1
Let z(f) = -5*f**3 + 4*f**2 + 35*f + 34. Let q(r) = 35*r**3 - 30*r**2 - 245*r - 240. Let h(v) = -2*q(v) - 15*z(v). Factor h(w).
5*(w - 3)*(w + 1)*(w + 2)
Suppose 4/7*y - 4/7*y**2 + 48/7 = 0. What is y?
-3, 4
Let k(m) be the second derivative of 7*m - 5/12*m**4 + 0 + 0*m**2 + 10/3*m**3. Factor k(y).
-5*y*(y - 4)
Let h(m) be the first derivative of -m**6/300 - m**5/50 - m**4/20 - m**3/15 + 3*m**2 - 16. Let s(q) be the second derivative of h(q). Factor s(z).
-2*(z + 1)**3/5
Let z(j) = 9*j**5 - 9*j**4 - 18*j**3 + 12*j**2 - 6. Let n(t) = 10*t**5 - 9*t**4 - 19*t**3 + 14*t**2 - 7. Let k(p) = 6*n(p) - 7*z(p). Factor k(h).
-3*h**3*(h - 4)*(h + 1)
Suppose -k - 3 = 2*k, -4*k - 20 = -4*c. Find h, given that -10*h - h**4 - 2*h**4 - 15*h**3 - 2*h + 0*h**c - 24*h**2 = 0.
-2, -1, 0
Let n(i) be the first derivative of -i**6/6 + 13*i**5/15 - 11*i**4/6 + 2*i**3 - 7*i**2/6 + i/3 + 99. Factor n(p).
-(p - 1)**4*(3*p - 1)/3
Let q(m) be the second derivative of -m**4/42 - 26*m**3/21 - 169*m**2/7 + 64*m. Factor q(w).
-2*(w + 13)**2/7
Suppose -2 + 5 = k. Suppose -k = -3*n - 3*s + 3, 0 = 4*s. Determine o, given that 2*o**4 - 4*o**2 + 53*o - 53*o + n = 0.
-1, 1
Let c(b) = -b**3 - 8*b**2 - 14*b - 9. Suppose -7 = 3*a + 2*h, 3*h - 5 = -4*a - 16. Let i(o) = o**2 - o. Let j(f) = a*c(f) + i(f). Solve j(p) = 0.
-3, -1
Let q(d) be the second derivative of -d**7/840 - d**6/120 - d**5/48 - d**4/48 + 5*d**2/2 - 6*d. Let j(w) be the first derivative of q(w). Factor j(x).
-x*(x + 1)**2*(x + 2)/4
Let m(j) be the third derivative of j**8/112 - 11*j**7/70 - 5*j**6/8 - 13*j**5/20 + 90*j**2. Let m(n) = 0. Calculate n.
-1, 0, 13
Let k be (3 - 0)/(10*(531/(-90) - -6)). Factor -12/5 - 7/5*b**2 - 1/5*b**k - 16/5*b.
-(b + 2)**2*(b + 3)/5
Let m(t) be the second derivative of -7*t**4/8 + 215*t**3/4 + 93*t**2/2 + 65*t + 5. Find g such that m(g) = 0.
-2/7, 31
Let r(z) be the first derivative of z**3/4 - 39*z**2/8 + 45*z/2 - 733. Factor r(w).
3*(w - 10)*(w - 3)/4
Let k(v) be the second derivative of v**6/60 + v**5/40 - 87*v. Factor k(h).
h**3*(h + 1)/2
Let h(k) be the first derivative of 2*k**5/15 - 2*k**4/3 - 4*k**3 - 20*k**2/3 - 14*k/3 + 274. Factor h(f).
2*(f - 7)*(f + 1)**3/3
Let q(b) be the third derivative of b**2 + 0 + 1/15*b**5 + 0*b + 1/2*b**4 + 0*b**3. Suppose q(w) = 0. Calculate w.
-3, 0
Let h = -2 - -5. Let x be ((-170)/(-25) + (-2)/(-10))*104/364. Factor -n**x + 4/3 + 1/3*n**h + 0*n.
(n - 2)**2*(n + 1)/3
Let w(o) be the first derivative of -105*o**4/4 - 110*o**3/3 + 5*o**2/2 + 10*o - 39. Let w(l) = 0. What is l?
-1, -1/3, 2/7
Let f(s) be the third derivative of -s**7/525 + s**6/300 + 2*s**5/75 - s**4/15 - 2*s**2 - 3*s. Factor f(d).
-2*d*(d - 2)*(d - 1)