 1015 + l - 20*u - 10*u**4 = 0 for u.
-2, -1, 1, 2
Let z(b) = b**2 + 10*b - 12. Let j be z(-11). Let y be (-2 - 1)*j + 1. Determine m, given that m**5 + 0*m**5 + 2*m - 3*m**5 - 4*m**2 + 4*m**y = 0.
-1, 0, 1
Factor -419*w - 3375 - 5*w**3 + 151*w - 165*w**2 - 1307*w.
-5*(w + 3)*(w + 15)**2
Let h = -1442 - -1442. Factor -4/11*d**4 - 2/11*d**5 + 0 + h*d**2 + 0*d - 2/11*d**3.
-2*d**3*(d + 1)**2/11
Let x(g) be the second derivative of 8/75*g**6 - 1/105*g**7 - 16/15*g**3 + 9*g - 12/25*g**5 + 16/15*g**4 + 0*g**2 + 0. Determine b so that x(b) = 0.
0, 2
Suppose 4*o - 105 = 27. Factor -129*x**3 - 3*x**5 + 51 - 39 - o*x**4 - 219*x**2 - 168*x - 60.
-3*(x + 1)**3*(x + 4)**2
Suppose -21 = -5*h + 2*w + 6, h - 4*w - 9 = 0. Let k(t) be the first derivative of t**2 + 9 + 0*t - 8/3*t**3 + 3*t**4 + 1/3*t**6 - 8/5*t**h. Factor k(n).
2*n*(n - 1)**4
Let v(x) be the second derivative of 2/9*x**3 + 0 + 0*x**2 + 1/30*x**5 + 10*x + 1/6*x**4. Factor v(m).
2*m*(m + 1)*(m + 2)/3
Let b(q) be the first derivative of 1/600*q**5 - 4 + 0*q**2 + 0*q**4 + 0*q + 1/3*q**3 - 1/1800*q**6. Let i(f) be the third derivative of b(f). Factor i(d).
-d*(d - 1)/5
Let f(s) be the second derivative of 3/20*s**5 + 0 + 3/10*s**6 + 0*s**2 + 0*s**3 - 1/2*s**4 - 13*s. Let f(o) = 0. Calculate o.
-1, 0, 2/3
What is x in -63/2*x - 3/4*x**2 - 1323/4 = 0?
-21
Let i = 2862 - 2858. Solve 50/3*w**4 + 16/3 + 56/3*w - i*w**2 - 110/3*w**3 = 0.
-2/5, 1, 2
Factor 1/6*c**2 + c + 5/6.
(c + 1)*(c + 5)/6
Let j(t) = t**2 - 24*t**4 - 6*t**3 + 19*t**4 + 2*t**2. Let l(r) = 4*r**4 + 5*r**3 - 2*r**2. Let d(v) = -3*j(v) - 4*l(v). Solve d(z) = 0 for z.
-1, 0
Suppose 0 = 3*t - n, t - 5*n + 15 - 1 = 0. Let b be 2*t/(-70) - (-6)/10. Factor -2/7*y**2 + b + 2/7*y.
-2*(y - 2)*(y + 1)/7
Let r(y) be the third derivative of -5*y**6/168 - y**5/42 - y**4/168 - 310*y**2. Determine m so that r(m) = 0.
-1/5, 0
Suppose 6 = -2*y, -5*z - 3 = 4*y - 1. Suppose z*u + 9 = 3*u. What is v in -u*v**3 + 2*v - v**5 + 8*v**5 - 2*v**4 - 4*v**4 + 5*v**2 + v**4 = 0?
-1, -2/7, 0, 1
Let p(x) be the first derivative of x**4/4 + 4*x**3/3 + 2*x**2 + 2*x + 2. Let t be p(-2). Factor -20*l + l**2 + 22*l + 0*l**t.
l*(l + 2)
Let b = -869/15 - -58. Let m(k) be the first derivative of -b*k**3 + 1/20*k**4 + 0*k - 1 + 0*k**2 + 1/25*k**5 - 1/30*k**6. Factor m(j).
-j**2*(j - 1)**2*(j + 1)/5
Suppose 10*f - 11 = -11. Let x(d) = -d**3 - 5*d**2 + 2*d + 12. Let o be x(-5). Suppose 0 + 2/11*t**o + f*t = 0. Calculate t.
0
Let b(w) be the second derivative of -7*w**5/20 - 85*w**4/48 + 109*w**3/24 + w**2/2 + 7*w + 18. Determine a, given that b(a) = 0.
-4, -1/28, 1
Let h(v) = -2*v**2 - 12*v + 4. Let f be h(-6). Let n be ((-8)/28)/(f/(-28)). Factor y**n + 5*y**3 - y**4 + 4*y**4 - 4*y**2 - 3*y - 2*y**3.
3*y*(y - 1)*(y + 1)**2
Let l(k) be the first derivative of k**4/22 + 16*k**3/33 - 9*k**2/11 + 33. Let l(i) = 0. Calculate i.
-9, 0, 1
Let t(i) = i**4 + i**2 + i. Suppose 2*q = -4*q + 54. Let c(f) = 12*f**4 + 6*f**3 + 6*f**2 + 3*f. Let g(b) = q*t(b) - c(b). Suppose g(j) = 0. What is j?
-2, -1, 0, 1
Let i = 35 + -65. Let b = i - -151/5. Find s such that b*s**2 - 2/5*s + 1/5 = 0.
1
Determine k so that -12/17 + 14/17*k + 6/17*k**2 = 0.
-3, 2/3
Factor -2/3*a + 0 - 2/9*a**3 - 8/9*a**2.
-2*a*(a + 1)*(a + 3)/9
Let b be (-40)/(-6) - 2 - 4/6. Factor -b*j**2 - 10*j - 4*j**2 - 16 + 12 - 4*j**3 + 2*j**3.
-2*(j + 1)**2*(j + 2)
Factor -35/3*u**4 + 5/3*u**5 + 80/3*u + 95/3*u**3 - 20/3 - 125/3*u**2.
5*(u - 2)**2*(u - 1)**3/3
Let v(x) be the second derivative of x**5/190 - 4*x**4/19 + 23*x**3/57 - 30*x. Let v(z) = 0. What is z?
0, 1, 23
Let q(s) be the second derivative of 0*s**4 - 1/45*s**6 - 1/126*s**7 + 0*s**2 - 2*s + 0*s**3 - 1/60*s**5 + 0. Factor q(h).
-h**3*(h + 1)**2/3
Let t be 28/(-42)*2169/6. Let h = -241 - t. Solve h + 1/4*x + 3/4*x**3 + 1/4*x**4 + 3/4*x**2 = 0.
-1, 0
Let a(j) = -4*j - 21. Let o be a(-7). Suppose -16 + o = -3*x. Determine v so that -v**4 + 5*v**3 - 2*v**3 - v**2 - v**x = 0.
0, 1
Let b(j) = j**3 - j**2 + 2*j + 1. Let g(c) = c**3 - 10*c**2 + 5*c + 10. Let u(p) = 6*b(p) - 3*g(p). Solve u(y) = 0 for y.
-8, -1, 1
Let l(b) be the second derivative of b**6/540 + 7*b**5/270 + 11*b**4/108 + 5*b**3/27 - 29*b**2/2 - 10*b. Let p(m) be the first derivative of l(m). Factor p(h).
2*(h + 1)**2*(h + 5)/9
Let s(h) = 2*h**2 - 75*h + 111. Let d be s(36). Factor -25/2*b**d + 15 - 35/2*b - 45*b**2.
-5*(b + 1)*(b + 3)*(5*b - 2)/2
Let g(t) be the third derivative of 1/1344*t**8 - 30*t**2 + 0 + 0*t**3 + 1/32*t**4 + 1/24*t**5 + 1/40*t**6 + 1/140*t**7 + 0*t. Factor g(v).
v*(v + 1)**3*(v + 3)/4
Let j be 4/(-14) - 1496/56. Let t be 3 - (0 - j/15). Factor -8/5*b + 2/5 + t*b**2.
2*(b - 1)*(3*b - 1)/5
Solve -86 - 8*r**3 + 4*r**2 + 2*r**5 + 183 - 101 + 6*r = 0.
-2, -1, 1
Suppose -s + 3*s = 10. Suppose s*r - 54 = 2*r. Determine c, given that -17*c**3 + r*c**2 - 3*c**5 + 2*c - 15*c**4 + 22*c - 6*c**2 - c**3 = 0.
-2, 0, 1
Let r be (3 + -2 - (-5)/10)*2. Let z(f) = -2*f - 8. Let a be z(-6). Solve -2*s**4 + r*s - s**4 + 7*s - a*s + 9*s**2 = 0.
-1, 0, 2
Let p be (150/(-125))/(4/(-10)). Let k be -2*p/((-3)/1). Factor -2/7*z**3 + 2/7 - 2/7*z**k + 2/7*z.
-2*(z - 1)*(z + 1)**2/7
What is s in 6 + 54*s**4 + 48*s + 279/2*s**3 + 255/2*s**2 = 0?
-1, -2/3, -1/4
Let n(o) = o**5 - 4*o**4 - 21*o**3 - 4*o**2 + 10*o - 6. Let q(d) = 3*d**5 - 11*d**4 - 60*d**3 - 12*d**2 + 29*d - 17. Let y(p) = 17*n(p) - 6*q(p). Factor y(b).
-b*(b - 1)**2*(b + 2)**2
Let f = -112 + 1682/15. Let a(u) be the first derivative of 0*u**2 + 0*u**3 - 5 + 1/6*u**4 + 0*u - f*u**5. Determine z so that a(z) = 0.
0, 1
Let y be 4 + (-4 - 0) - -17. Factor 120*k**2 + 21*k**5 + 90*k**4 + 6 - y*k**3 + 81*k**3 + 86*k**3 + 45*k.
3*(k + 1)**4*(7*k + 2)
Let n(a) = a + 8. Let c be n(-10). Let q(g) = -g**4 + g. Let u(x) = 4*x**4 - 4*x**3 + 5*x**2 - 5*x. Let p(k) = c*u(k) - 6*q(k). Factor p(w).
-2*w*(w - 2)*(w - 1)**2
Let b(d) be the second derivative of -11*d + 11/4*d**5 - 25/2*d**2 + 5/4*d**4 - 55/6*d**3 + 0 + 1/3*d**6. Find c such that b(c) = 0.
-5, -1, -1/2, 1
Let x(r) be the first derivative of 0*r**4 + 0*r**3 + 1/12*r**6 - 12 + 0*r**2 - 1/10*r**5 + 0*r. Factor x(j).
j**4*(j - 1)/2
Let a(z) be the third derivative of z**6/30 + 43*z**5/15 + 220*z**4/3 - 968*z**3/3 - 130*z**2. Determine n so that a(n) = 0.
-22, 1
Let f(p) be the first derivative of p**5 + 235*p**4/2 - 955*p**3/3 + 240*p**2 - 1089. Factor f(c).
5*c*(c - 1)**2*(c + 96)
Let h(x) be the third derivative of -x**7/11340 + x**6/3240 + x**4/3 + x**2. Let y(a) be the second derivative of h(a). Factor y(w).
-2*w*(w - 1)/9
Let w(m) = 4*m**4 + 69*m**3 + 71*m**2 - 3*m. Let h(p) = 8*p**4 + 139*p**3 + 141*p**2 - 5*p. Let x(q) = 3*h(q) - 5*w(q). Factor x(c).
4*c**2*(c + 1)*(c + 17)
Let j(n) be the second derivative of -2*n**6/5 + 31*n**5/5 - 61*n**4/3 + 82*n**3/3 - 16*n**2 + 24*n + 3. What is r in j(r) = 0?
1/3, 1, 8
Let a(k) be the second derivative of k**5/40 + 53*k**4/24 + 13*k**3/3 + 723*k. Suppose a(h) = 0. What is h?
-52, -1, 0
Let w(y) be the second derivative of -y**7/168 + y**6/40 - y**5/40 + 60*y. Let w(q) = 0. Calculate q.
0, 1, 2
Let l be 43956/(-14245)*(-10)/9. Determine n, given that -2/7*n**3 - l*n**2 - 20/7 - 6*n = 0.
-10, -1
Let f(u) be the first derivative of -u**4 + 12*u**3 + 162*u**2 + 540*u - 602. Factor f(a).
-4*(a - 15)*(a + 3)**2
Let s be (26/3)/2*3. Suppose -5*o + s = -2. Factor 5*l + 0*l + 2*l**2 + l**o - 3*l + l**2.
l*(l + 1)*(l + 2)
Let b = 2852/7155 - -2/1431. Factor -b*p**2 + 0*p + 1/5*p**4 - 1/5*p**3 + 0.
p**2*(p - 2)*(p + 1)/5
Let g(i) be the third derivative of -6*i**2 + 0*i + 0*i**5 + 1/360*i**6 + 0*i**3 + 0 - 1/72*i**4. Determine d so that g(d) = 0.
-1, 0, 1
Let q be (-5)/(-10)*(-2 + 1 - 5). Let g be 0/q*3/6. Factor -1/3*n**4 + g*n**3 + 0*n**2 + 0 + 0*n.
-n**4/3
Let g(j) = -76*j**2 - j + 2. Let f be g(1). Let i be (((-130)/f)/13)/((-2)/(-9)). Factor i*b**3 + 18/5*b**2 + 36/5*b + 24/5.
3*(b + 2)**3/5
Let f(b) be the first derivative of -2*b**3 - 1/2*b**6 + 0*b**5 + 0*b**2 + 9/4*b**4 + 0*b - 18. Factor f(h).
-3*h**2*(h - 1)**2*(h + 2)
Let z(q) be the first derivative of 2*q**3/15 + 358*q**2/5 + 64082*q/5 - 585. Let z(f) = 0. What is f?
-179
Factor a**3 + 3*a**3 + 12*a**2 + 0*a**2 + 3*a**2 + 5*a**2 + 16*a.
4*a*(a + 1)*(a + 4)
Let r be (97/6*-2)/(1/(-3)). Let h = 100 - r. Solve -1/