ose 0 + 2/5*r**3 + 14/5*r**4 + s*r - 6/5*r**5 - 14/5*r**2 = 0. What is r?
-1, 0, 1/3, 1, 2
Let m(v) be the first derivative of -1 + 0*v**2 - 5/14*v**5 + 9*v - 4/21*v**3 + 10/21*v**4. Let q(g) be the first derivative of m(g). Factor q(a).
-2*a*(5*a - 2)**2/7
Suppose -3 = -6*i + 15. Suppose -4 = -4*g, 2*g - i = -w + 4*g. Determine m so that 3*m**5 + 9*m**3 + 9*m**4 + 12*m**2 - 9*m**2 + 0*m**w = 0.
-1, 0
Let m(s) be the first derivative of s**6/3240 + s**5/540 + 10*s**3/3 + 9. Let o(t) be the third derivative of m(t). Factor o(n).
n*(n + 2)/9
Let d be (-1)/(-4)*(12 + 0). Let m be (d/4)/((120/64)/5). Suppose m*g - 4 - 1/4*g**2 = 0. Calculate g.
4
Let q(h) be the third derivative of 1/28*h**8 + 8/105*h**7 + 0*h**4 - 18*h**2 + 0 - 2/15*h**5 - 1/30*h**6 + 0*h + 0*h**3. Factor q(a).
4*a**2*(a + 1)**2*(3*a - 2)
Let o = -5854 + 29297/5. Factor -o + 18*s - 15*s**2.
-3*(5*s - 3)**2/5
Let l(c) be the first derivative of 8*c**6/15 + 168*c**5/25 + 481*c**4/20 + 14*c**3 + 5*c**2/2 - 158. Factor l(m).
m*(m + 5)**2*(4*m + 1)**2/5
Let t(d) = 5*d**2 - 17*d - 9. Let b be t(4). Let c(h) be the second derivative of -1/4*h**4 + 2*h - b*h**3 + 0 - 27/2*h**2. Factor c(a).
-3*(a + 3)**2
Let a be (84/(-30))/(2 + 24/(-10)). Let w(g) = 10*g**3 + 30*g**2 - 3*g - 23. Let u(r) = 5*r**3 + 15*r**2 - 2*r - 12. Let h(k) = a*u(k) - 3*w(k). Factor h(q).
5*(q - 1)*(q + 1)*(q + 3)
Let r(o) = o**2 + o - 1. Let z(x) = -4*x**2 - 3*x + 2. Let c(t) = -4*t**2 - 2*t + 2. Let p(v) = -5*c(v) + 6*z(v). Let k(g) = 2*p(g) + 12*r(g). Factor k(f).
4*(f - 2)*(f + 1)
Let p be -1*((-1)/(-2) - 1). Let b be -1*(35/(-30) - (-10)/15). Find u, given that 0*u - 1/2*u**4 + 0 + p*u**2 - 1/2*u**3 + b*u**5 = 0.
-1, 0, 1
Let p(b) be the first derivative of b**4/4 - b**3/2 - 6*b + 12. Let r(l) be the first derivative of p(l). Factor r(n).
3*n*(n - 1)
Let o = 462 + -460. Suppose 2/3*u + 1/6*u**o - 5/6 = 0. What is u?
-5, 1
Let u(v) be the second derivative of 0 + 2/27*v**3 + 2/9*v**2 - 7*v + 1/108*v**4. Let u(r) = 0. What is r?
-2
Determine v so that -78*v**4 - 18*v**5 + 224/3 - 416/3*v - 400/3*v**2 + 320*v**3 = 0.
-7, -2/3, 2/3, 2
Suppose -5*l + 23 - 87 = -u, l = 4*u - 256. Let r = 66 - u. Find s such that 0 - 1/3*s**5 + 2/3*s**4 + 0*s + 0*s**r - 1/3*s**3 = 0.
0, 1
Suppose 3*s + 262 + 3*s**2 - 280 + 0*s**2 = 0. What is s?
-3, 2
Let o(y) = 5*y**3 + 3*y**2 + 11*y + 33. Let l be o(-3). Let s = l - -111. Factor 1/2*p - 1/2*p**2 - 1/6 + 1/6*p**s.
(p - 1)**3/6
Let h = 12 + -7. Suppose 26 = 4*b + m + h, 0 = -5*b + 3*m + 5. Factor -2*r**2 + 6*r + 4*r**2 - b*r - 4*r**2.
-2*r*(r - 1)
Let n(i) be the second derivative of 3/7*i**3 - 21*i + 1/7*i**4 + 0 - 6/7*i**2. Factor n(o).
6*(o + 2)*(2*o - 1)/7
Let a be 2/(4/2) + 5. Suppose 3*m + 0*m = a. Determine l, given that -4*l**4 - 5*l**4 + l**3 - 7*l**3 + 18*l**3 + 12*l**m = 0.
-2/3, 0, 2
Let -5/2*c**5 - c + 7/2*c**3 - 3/2*c**2 + 3/2*c**4 + 0 = 0. What is c?
-1, -2/5, 0, 1
Let y(j) = 2*j**5 + 53*j**4 + 120*j**3 + 110*j**2 + 32*j - 3. Let g(i) = -i**5 + i**4 - i - 1. Let s(q) = 3*g(q) - y(q). What is t in s(t) = 0?
-7, -1, 0
Let c(k) be the second derivative of 49*k**4/9 - 280*k**3/9 + 200*k**2/3 - 7*k - 7. Find u such that c(u) = 0.
10/7
Let j = -106 - -108. Factor -71*w - 6 + 3*w**j + 143*w - 69*w.
3*(w - 1)*(w + 2)
Factor -6/7*j**3 + 0 - 2/7*j**4 + 0*j - 4/7*j**2.
-2*j**2*(j + 1)*(j + 2)/7
Let i = -2009 - -14067/7. What is g in 3/7*g**2 - 1/7*g + 0 + i*g**3 = 0?
-1, 0, 1/4
Let x(l) = l**3 + 4*l**2 + 2*l - 1. Let z be x(-2). Suppose g = -m + 10, -4*m + 2*g + 0 + 22 = 0. Determine t, given that -t - 5*t**2 - 4 + z*t + m*t**2 = 0.
-2, 1
Let d(p) be the third derivative of 3/80*p**5 - 1/280*p**7 - 5/32*p**4 + 1/160*p**6 + 0 + 1/4*p**3 + 11*p**2 + 0*p. Find r such that d(r) = 0.
-2, 1
Let j(c) = -16*c**2 - 20*c - 12. Let r(o) = 8*o**2 + o**3 - 7*o**2 + 11 + 14*o + 15*o**2 + 6*o. Let p(f) = -3*j(f) - 4*r(f). Factor p(w).
-4*(w + 1)**2*(w + 2)
Let g(y) be the second derivative of 1/2*y**2 - 24*y + 0 + 1/12*y**3 - 1/24*y**4. Let g(a) = 0. Calculate a.
-1, 2
Let c(r) be the first derivative of 1/2*r**2 + 2*r - 1/16*r**4 - 1/6*r**3 + 9. Solve c(n) = 0 for n.
-2, 2
Suppose -p = 5*n + 15, -3*n = p + 2 + 7. Let k(d) be the second derivative of 1/66*d**4 + p + 1/11*d**2 + 2/33*d**3 - 13*d. Factor k(a).
2*(a + 1)**2/11
Let v(m) be the third derivative of -m**5/450 + 29*m**4/45 - 3364*m**3/45 - 186*m**2. Factor v(w).
-2*(w - 58)**2/15
Let r be ((-33)/44)/(9/(-6)). Let i be (1 - 5)*(-7)/14. Find y, given that 1/6*y - 1/2*y**4 - 5/6*y**3 + 2/3*y**5 + 0 + r*y**i = 0.
-1, -1/4, 0, 1
Factor 7 + 0 + r**2 + 1 + 5*r - 4.
(r + 1)*(r + 4)
Factor 2/13*t**3 + 0 - 2/13*t - 2/13*t**4 + 2/13*t**2.
-2*t*(t - 1)**2*(t + 1)/13
Let h be (-5)/7*6/(-5). Let d be ((-46)/69)/(35/(-45)). Find q, given that -2*q**3 + d*q**2 - 4/7 + h*q + 6/7*q**4 = 0.
-2/3, 1
Let c = 2/761 - -561/76100. Let u(s) be the third derivative of 0*s**3 + 5*s**2 + 0 + 0*s**4 + 1/350*s**7 + 0*s + c*s**6 + 0*s**5. Factor u(g).
3*g**3*(g + 2)/5
Suppose -3*z + 3*j - 695 = -722, -2*j = 2*z + 10. Let 2/3*p**3 - 2/9*p**4 + 2/9*p**z - 4/9*p - 2/9*p**5 + 0 = 0. What is p?
-2, -1, 0, 1
Factor w + 9/2*w**3 + 0 - 11/2*w**2.
w*(w - 1)*(9*w - 2)/2
Suppose 11*n + 1218 = 6*n - 4*h, -6 = -2*h. Let a = n + 742/3. Solve 1/3*s**2 - a - 1/3*s**3 + 4/3*s = 0.
-2, 1, 2
Let b(l) be the third derivative of 1/126*l**7 + 0*l + 1/36*l**6 + 0 + 5/72*l**4 + 1/18*l**3 + 1/1008*l**8 + 1/18*l**5 + 9*l**2. Let b(t) = 0. Calculate t.
-1
Let y(p) be the second derivative of p**4/66 - 8*p**3/33 + 12*p**2/11 - 39*p + 3. Find d, given that y(d) = 0.
2, 6
Let b(a) = -41*a**2 + 6 + 18*a**2 + 28*a**2 - 3*a. Let l(u) = 4*u**2 - 2*u + 5. Let s(w) = 5*b(w) - 6*l(w). Find z such that s(z) = 0.
0, 3
Let t(s) = s**5 - s**3 - s**2 - 1. Let f(c) = -9*c**5 + 35*c**4 - 86*c**3 + 104*c**2 - 40*c + 4. Let u(j) = f(j) + 4*t(j). Let u(v) = 0. Calculate v.
0, 1, 2
Let y(r) be the first derivative of -r**7/1680 - r**6/60 - 3*r**5/20 - 5*r**3/3 + 25. Let s(o) be the third derivative of y(o). Factor s(m).
-m*(m + 6)**2/2
Suppose 1 + 5 = 2*k. Suppose -3*q + k = -3. Factor f**3 + 3*f**4 + q*f**5 - f**3 - 2*f**2 - f**4 - 2*f**3.
2*f**2*(f - 1)*(f + 1)**2
Let j(s) = -28*s**4 + 20*s**3 - 4*s**2 - 12*s - 12. Let o(n) = -2*n**4 + n**3 - n - 1. Let m(q) = -j(q) + 12*o(q). Solve m(g) = 0.
0, 1
Factor -510/7*i - 867/7 - 75/7*i**2.
-3*(5*i + 17)**2/7
Factor -11/5*f**2 + 0 + 26/5*f - 1/5*f**3.
-f*(f - 2)*(f + 13)/5
Suppose 331*b = 329*b + 4. Suppose 5*k - 6 = b*t + 4, 3*k - 6 = -2*t. Find v, given that -16/5*v + 16/5*v**k + 0 - 4/5*v**3 = 0.
0, 2
Suppose 4*u = -u + 4*l + 4, 3*u + 3*l = -3. Suppose 545 = 5*a - 3*y + 40, 3*y = u. Factor 2*o**2 + 2 - 111*o + 6*o**2 + a*o.
2*(o - 1)*(4*o - 1)
Let w(y) be the first derivative of 4/63*y**3 - 3 + 0*y**2 + 1/42*y**4 + 0*y. Factor w(q).
2*q**2*(q + 2)/21
Suppose -4*f = 2*b - 26, -4*f - 4*b + 3*b = -29. Suppose 2*s**3 - 4*s**4 + f + 2*s**5 - 8 + 0*s**4 = 0. Calculate s.
0, 1
Let i(p) be the first derivative of p**4/28 - 2*p**3/21 - 15*p**2/14 + 82. Determine k so that i(k) = 0.
-3, 0, 5
Let d(o) = o**5 + o**4 - o**3 - o**2 - o. Let m(n) = -12*n**5 - 23*n**4 - 36*n**3 - 41*n**2 + 59*n + 64. Let y(h) = 22*d(h) + 2*m(h). Factor y(b).
-2*(b - 1)*(b + 1)*(b + 4)**3
Let o(h) be the second derivative of -2/15*h**6 + 0*h**2 + 0*h**3 + 0 + 1/5*h**5 + 2/3*h**4 - h. Factor o(i).
-4*i**2*(i - 2)*(i + 1)
Determine i so that -9/2 + 81/4*i - 9/4*i**3 - 17/2*i**2 + i**4 = 0.
-3, 1/4, 2, 3
Let m be ((-34)/(-4))/(4/8). Factor 21*h - 37*h**3 - 15*h**2 - 9 + 23*h**3 + m*h**3.
3*(h - 3)*(h - 1)**2
Let z be -2*30/(-72)*7/35. Solve 0 + z*c**2 + 0*c = 0.
0
Let l = -21633 - -108784/5. Let w = -123 + l. Factor -4/5 - 2/5*t + w*t**2 + 2/5*t**3.
2*(t - 1)*(t + 1)*(t + 2)/5
Let b(a) be the third derivative of -1/20*a**6 + 0 + 8*a**2 + 0*a**4 + 0*a + 1/70*a**7 + 0*a**3 + 1/20*a**5. Factor b(s).
3*s**2*(s - 1)**2
Let w(b) be the first derivative of b**8/168 - b**6/60 + b**2/2 + 20*b + 34. Let a(x) be the second derivative of w(x). Let a(s) = 0. What is s?
-1, 0, 1
Let s(n) = -3*n**2 + 21*n - 15. Let f be s(8). Let u = f + 41. Factor 32/7*h**3 + 0*h + 8/7*h**u + 10/7*h**4 - 50/7*h**5 + 0.
-2*h**2*(h - 1)*(5*h + 2)**2/7
Factor -170/3 - 95/3*f - 5/3*f**2.
-5*(f + 2)*(f + 17)/3
Suppose 28*l - 4 + 4 = 