Determine o, given that s(o) = 0.
-2, -1, 1, 14
Factor 400/3 - 416/3*q - 4/3*q**3 + 116/3*q**2.
-4*(q - 25)*(q - 2)**2/3
Let 86*z + 3*z**2 + 15*z + 10*z + 4 - 4 = 0. Calculate z.
-37, 0
Let s(a) be the second derivative of a**8/672 - a**7/168 - a**6/18 + a**3/6 - 9*a**2/2 + 15*a. Let h(l) be the second derivative of s(l). Factor h(u).
5*u**2*(u - 4)*(u + 2)/2
Let b(w) be the second derivative of -1/20*w**2 - 1/300*w**6 - 1/100*w**5 - 14*w + 1/420*w**7 + 1/60*w**3 + 0 + 1/60*w**4. Find l, given that b(l) = 0.
-1, 1
Let v(a) be the third derivative of a**6/120 + a**5/60 - a**4/12 + 22*a**2. Let s be v(1). Factor 0 + 1/4*f**2 - 1/4*f**3 + s*f.
-f**2*(f - 1)/4
Let h(m) be the third derivative of -m**6/540 + 89*m**5/270 - 215*m**4/12 - 75*m**3 + 62*m**2. Suppose h(l) = 0. What is l?
-1, 45
Suppose 4*g - 5*u + 47 = 6*g, 3*u - 26 = -g. Let j(d) = d - 8. Let o be j(g). Factor 4/3*r**2 + 0 + 0*r + 25/3*r**4 + 20/3*r**o.
r**2*(5*r + 2)**2/3
Let i be (20/(-8))/(20/(-56)). Let p(a) be the second derivative of 0*a**2 - 10*a + 1/18*a**3 + 0*a**6 + 1/126*a**i + 0*a**4 - 1/30*a**5 + 0. Factor p(v).
v*(v - 1)**2*(v + 1)**2/3
Let t(h) be the third derivative of h**7/6300 - h**6/600 + h**5/150 + h**4/2 - 3*h**2. Let l(k) be the second derivative of t(k). Suppose l(w) = 0. What is w?
1, 2
Determine w so that 69/5*w - 72/5 + 3/5*w**2 = 0.
-24, 1
Let z(t) be the second derivative of 5*t**7/42 - 11*t**6/6 + 19*t**5/4 - 15*t**4/4 + 105*t. Suppose z(i) = 0. Calculate i.
0, 1, 9
Suppose 15*s - 59 = -14. Let q(x) be the third derivative of -1/2*x**s + 0 + 0*x - 1/10*x**5 - 3*x**2 - 9/16*x**4. Factor q(j).
-3*(j + 2)*(4*j + 1)/2
Let d(r) be the third derivative of -r**6/40 - 41*r**5/20 + 21*r**4/4 + 2*r**2 + 117*r. Solve d(l) = 0.
-42, 0, 1
Let a(l) be the third derivative of l**6/360 + l**5/60 + l**4/24 + l**3 + 8*l**2. Let b(s) be the first derivative of a(s). Determine u so that b(u) = 0.
-1
Let p(a) be the third derivative of a**5/240 + 7*a**4/96 - a**3/3 - 4*a**2 - 2. Let p(y) = 0. What is y?
-8, 1
Let z(x) be the second derivative of -x**3/2 + 4*x**2 - 23*x. Let r be z(2). Factor -1/2*l - 1/4*l**3 + 0 - 3/4*l**r.
-l*(l + 1)*(l + 2)/4
Let y = 150 - 151. Let j(o) = o**4 + o**2 - o + 1. Let i(b) = -25*b**4 + 55*b**3 - 85*b**2 + 55*b - 20. Let s(t) = y*i(t) - 10*j(t). Let s(z) = 0. What is z?
2/3, 1
Let a(v) be the third derivative of -v**8/448 - v**7/120 - v**6/160 + v**5/80 + v**4/48 + 58*v**2. Factor a(c).
-c*(c + 1)**3*(3*c - 2)/4
Suppose -2/17*f**5 + 20/17*f**2 - 4/17*f**4 + 10/17*f**3 - 16/17 - 8/17*f = 0. What is f?
-2, -1, 1, 2
Let p(q) be the first derivative of -6*q + 3/4*q**4 + 0*q**3 - 9/2*q**2 + 15. Solve p(z) = 0 for z.
-1, 2
Let b be 7/(70/8) - 0. Let g be (-3)/((-270)/12)*(-8 - -20). Factor b + a**2 - g*a - 1/5*a**3.
-(a - 2)**2*(a - 1)/5
Determine f, given that 15/4*f - 9/8 + 9/2*f**2 + 3/2*f**5 - 27/8*f**4 - 21/4*f**3 = 0.
-1, 1/4, 1, 3
Suppose 4*i = -6*i - 600. Let v be -2*2*(325/i)/5. Factor 7/3*p + v*p**3 + 4/3*p**4 + 5*p**2 + 1/3.
(p + 1)**3*(4*p + 1)/3
Let t(p) be the second derivative of -5*p**7/42 + 79*p**6/6 - 871*p**5/2 + 17645*p**4/6 - 5735*p**3/2 - 61605*p**2/2 + 716*p. Suppose t(a) = 0. Calculate a.
-1, 3, 37
Let v(x) be the second derivative of -x**5/100 - 19*x**4/60 + 47*x. Solve v(j) = 0.
-19, 0
Let d(b) be the first derivative of 3*b**5/5 - 3*b**4 + 5*b**3 - 3*b**2 + 5. Factor d(k).
3*k*(k - 2)*(k - 1)**2
Let z(j) = -j - 6. Let p be z(3). Let y be (2*(-1)/p)/(22/66). Determine c, given that -2/3*c + 0 - y*c**2 = 0.
-1, 0
Let k be 58/15 - (445/178 - (-22)/(-12)). Factor -4/5*u**4 + 48/5*u + 24/5*u**3 - 52/5*u**2 - k.
-4*(u - 2)**2*(u - 1)**2/5
Let w = 513/110 + -121859/6930. Let i = w + 92/7. Factor 0 + 0*v + i*v**3 + 2/9*v**2.
2*v**2*(v + 1)/9
Let g = -26 + 29. Let u be g - (0/(-2))/(-4). Solve 9*i**4 - 9*i**2 + 66*i - u*i**3 - 35*i - 28*i = 0 for i.
-1, 0, 1/3, 1
Let o(c) be the first derivative of c**6/30 + c**5/5 + c**4/2 + 2*c**3/3 - 6*c**2 + 2. Let z(t) be the second derivative of o(t). Factor z(d).
4*(d + 1)**3
Let r = -86 - -186. Let f be 5*(308/r + -3). Factor 4/5*v + 2/5*v**2 + f.
2*(v + 1)**2/5
Let z be (-3)/2*24/(-18) - -26. Find d such that 3*d**3 - z*d - 21*d**2 + 59*d + 14*d - 27 = 0.
1, 3
Let h = 28 - 85/3. Let l = 5/3 + h. Factor -2/3*i**2 - 2/3 - l*i.
-2*(i + 1)**2/3
What is g in -1/3*g**4 + 32/3*g**2 + 0*g + 0 - 4/3*g**3 = 0?
-8, 0, 4
Let p(r) be the second derivative of -r**6/90 + 2*r**5/15 - 5*r**4/12 - 4*r**3/9 + 8*r**2/3 - 208*r. Find m such that p(m) = 0.
-1, 1, 4
Let k = -1054 + 2111/2. Determine b so that k*b**4 - 21/2*b - 15/2*b**3 + 3 + 27/2*b**2 = 0.
1, 2
Let v(p) = 2*p**4 + 428*p**3 - 425*p**2 - 428*p + 416. Let b(q) = q**4 + 142*q**3 - 142*q**2 - 142*q + 139. Let f(s) = -7*b(s) + 2*v(s). Factor f(r).
-3*(r - 1)**2*(r + 1)*(r + 47)
Let y = -1025 + 1031. Let i(c) be the second derivative of 10*c + 0 - 20*c**3 - 35/12*c**4 + 6*c**5 + 8/3*c**y - 45/2*c**2. Factor i(s).
5*(s - 1)*(s + 1)*(4*s + 3)**2
Suppose 0*a - 5*a = 0. Suppose 5*p = -a*p. Determine b, given that b + 0*b - 2 + b**2 + p*b = 0.
-2, 1
Let s(g) be the second derivative of g**7/42 - 11*g**6/60 + 3*g**5/8 + 7*g**4/12 - 11*g**3/3 + 6*g**2 + 142*g. Factor s(q).
(q - 2)**3*(q - 1)*(2*q + 3)/2
Let o(v) be the second derivative of -v**6/600 - v**5/300 + v**3/6 - 4*v. Let a(k) be the second derivative of o(k). Factor a(y).
-y*(3*y + 2)/5
Factor 57/2 + 1/4*a**2 + 25/4*a.
(a + 6)*(a + 19)/4
Let c(j) = j**2 - 4*j + 28. Let m be c(11). Suppose -10 = 100*n - m*n. Factor 11/8*f - 1/4 - 9/8*f**n.
-(f - 1)*(9*f - 2)/8
Let q = 187 - 128. Let t = q - 57. Determine h, given that 14/3*h**3 - t*h - 8/3*h**5 - 2/3 + 2/3*h**2 + 0*h**4 = 0.
-1, -1/2, 1
Let r = 15 + -13. Suppose r*x = 3*u + 16, 2*u = 2*x + u - 12. Factor 0*c**2 - 1/2*c**4 - 1/3*c**3 + 0 - 1/6*c**x + 0*c.
-c**3*(c + 1)*(c + 2)/6
Let d(v) be the second derivative of 3*v**5/50 - 4*v**4/5 + 16*v**3/5 + 83*v. Factor d(z).
6*z*(z - 4)**2/5
Let k be (4/7)/(3/21). Let u(l) be the first derivative of -1 - 1/20*l**k - 1/5*l**3 + 1/10*l**2 + 2/5*l + 1/25*l**5. Find z such that u(z) = 0.
-1, 1, 2
Determine h, given that -1/3*h**2 + 1/6*h**3 - 1/2*h + 0 = 0.
-1, 0, 3
Let r(n) = n**3 + n**2 + 20. Let z be r(0). Let l be (-3)/5 + 92/z. Find u such that 1/2*u**2 - 1/2*u**l - 3/2*u**3 + u + 1/2*u**5 + 0 = 0.
-1, 0, 1, 2
Let y be (-75)/(-36) - (-13 + 15). Let i(p) be the second derivative of 0*p**2 + 0 - 5*p - 1/48*p**4 - 1/80*p**5 + y*p**3. Factor i(r).
-r*(r - 1)*(r + 2)/4
Let z be (-6)/4 - (-923)/142. Let d(c) be the third derivative of 0 + 0*c**3 + 0*c + 0*c**5 + 1/27*c**4 + z*c**2 - 1/540*c**6. Let d(b) = 0. Calculate b.
-2, 0, 2
Determine c, given that 2/9*c**5 + 8/3*c**4 - 14/3*c - 4/9*c**2 + 40/9*c**3 - 20/9 = 0.
-10, -1, 1
Let m be 15/12*4*(-2)/(-180). Let i(b) be the second derivative of -m*b**4 + 0 - 1/75*b**5 + 5*b - 1/15*b**2 - 4/45*b**3. Factor i(n).
-2*(n + 1)**2*(2*n + 1)/15
Determine d so that -4/3*d**2 + 0*d - 2/3*d**3 + 2/3*d**4 + 0 = 0.
-1, 0, 2
Let m be (-689)/477*((-18)/(-20))/(-3). Let v = -1/10 + m. Solve 1/3*n**4 - 1/3*n**2 + 1/3*n**3 + 0 - v*n = 0.
-1, 0, 1
Suppose -3*a - 3*n = -7*n - 39095, -5*a + n = -65181. Let x = a - 143309/11. Determine j so that 56/11*j - x*j**2 - 8/11 = 0.
2/7
Factor -18/11 + 4/11*y**2 - 21/11*y.
(y - 6)*(4*y + 3)/11
Factor -101*p**3 - 10 - 24*p**2 + 186*p**3 - 2*p**4 - 32*p - 12*p**2 - 101*p**3.
-2*(p + 1)**3*(p + 5)
Let m(r) be the first derivative of r**3/18 + 7*r**2/2 + 41*r/6 + 61. Determine k so that m(k) = 0.
-41, -1
Factor 5/3*z**2 - 85/3 + 80/3*z.
5*(z - 1)*(z + 17)/3
Let u = -405 - -407. Let j = -7/4 - -25/12. Suppose -1/3*h - j*h**5 + 0 + 4/3*h**4 - 2*h**3 + 4/3*h**u = 0. What is h?
0, 1
Let m(t) be the second derivative of t**6/105 + t**5/35 - 2*t**3/21 - t**2/7 + 129*t. Factor m(r).
2*(r - 1)*(r + 1)**3/7
Let w(s) be the second derivative of -s**6/135 + s**5/45 + s**4/18 - 31*s. Solve w(i) = 0.
-1, 0, 3
Let q(o) be the first derivative of o**3/4 - 30*o**2 + 1200*o + 161. Factor q(h).
3*(h - 40)**2/4
Suppose 20*u = 22*u - 4. Suppose m**u - 2*m + 24*m + 15 + 2*m**2 - 4*m = 0. Calculate m.
-5, -1
Factor -3/4*w**3 - 489/4*w**2 - 4920*w + 5043.
-3*(w - 1)*(w + 82)**2/4
Let p be 6/6 - (91/(-195) - 8/(-10)). Factor -1/3*q**3 + 1/3*q - p*q**2 + 2/3.
-(q - 1)*(q