(h) be the third derivative of h**6/960 + h**5/80 + 2*h**3 + 12*h**2. Let x(n) be the first derivative of u(n). Suppose x(s) = 0. Calculate s.
-4, 0
Let o(w) be the second derivative of 5/18*w**3 + 0 - 17*w + 0*w**2 + 5/36*w**4. Factor o(x).
5*x*(x + 1)/3
Suppose 38*q + 5 = 119. Let p be 2 + -2 + 15/4. Factor 1/4 + 7/4*o + p*o**2 + o**4 + 13/4*o**q.
(o + 1)**3*(4*o + 1)/4
Let o be ((-30)/21)/(2/(-14)). Let 20 - 7 + 5*z**2 - o*z - 8 = 0. Calculate z.
1
Let r(y) be the first derivative of -y**6/540 - y**5/60 - 12*y**3 + 26. Let o(z) be the third derivative of r(z). Solve o(x) = 0 for x.
-3, 0
Let z(x) be the first derivative of -6*x**2 + 4/3*x**3 + 8*x + 12. Factor z(k).
4*(k - 2)*(k - 1)
Let y = -71 + 92. Let s be 2 - (0 - (-12)/y). Factor 8/7*q - s*q**3 - 16/7*q**2 + 0.
-2*q*(q + 2)*(5*q - 2)/7
Let s(t) = 3*t**3 - 19*t**2 - 21*t + 27. Let d(o) = -203*o**3 + 2*o + 9*o + 10*o**2 - 13 + 201*o**3. Let f(h) = -5*d(h) - 3*s(h). Factor f(p).
(p - 1)*(p + 4)**2
Suppose 61/7*f**2 + 3/7*f**5 - 12/7 + 8/7*f + 23/7*f**4 + 61/7*f**3 = 0. Calculate f.
-3, -2, -1, 1/3
Let t(o) be the third derivative of o**7/4200 + o**6/600 - 3*o**5/200 + o**4/6 - 19*o**2. Let p(u) be the second derivative of t(u). Factor p(d).
3*(d - 1)*(d + 3)/5
Suppose 2/17*z**2 + 16928/17 + 368/17*z = 0. Calculate z.
-92
Suppose 1324 = 162*p + 1000. Let -16/5*x - 4/5 - 8/5*x**p + 16/5*x**3 + 12/5*x**4 = 0. What is x?
-1, -1/3, 1
Factor 662 + 2992 - 215*c - 63*c - 155*c**2 - 657*c - 5*c**3 + 681.
-5*(c - 3)*(c + 17)**2
Let s = -34203265/67164 + -1/33582. Let o = s + 513. Let -9/4*b**2 + 0 + 27/4*b**3 - 3/4*b - o*b**4 = 0. Calculate b.
-1/5, 0, 1
Let o = -67 - -80. Suppose 10*x + 0*x - 45*x**2 + 32*x**4 + 25*x**3 + o*x**4 - 35*x**5 = 0. Calculate x.
-1, 0, 2/7, 1
Let s(l) be the second derivative of l**6/6 - l**5/2 - 5*l**4 + 15*l**3 + 135*l**2/2 - 4*l. Find a, given that s(a) = 0.
-3, -1, 3
Let o(f) be the first derivative of -1/3*f**6 + 0*f**2 - 2/5*f**5 + 1/2*f**4 + 18 + 2/3*f**3 + 0*f. Find w such that o(w) = 0.
-1, 0, 1
Let y = -1010 + 1015. Let m(z) be the first derivative of 0*z - 8 - 1/3*z**6 + 3/2*z**4 - 4/3*z**3 + 0*z**y + 0*z**2. Let m(w) = 0. Calculate w.
-2, 0, 1
Let d be (2/(-4))/(13/(-104)). Factor -4*k**4 - d*k**2 - 2*k**2 + 3 + 7*k**4.
3*(k - 1)**2*(k + 1)**2
What is x in -7/5 - x**2 + 13/5*x - 1/5*x**3 = 0?
-7, 1
Suppose 0 = -i - 2*r + 2, -1 = 3*r + 2. Suppose 5*u = -i*s + 2*u, -4*s - u = -8. Find c, given that -1/2*c + 1/2*c**s - 1/4*c**2 + 0 + 1/4*c**4 = 0.
-2, -1, 0, 1
Factor -4*q**2 + 146/11*q - 100/11 - 2/11*q**3.
-2*(q - 2)*(q - 1)*(q + 25)/11
Let n(o) be the second derivative of -3*o**5/110 + 3*o**4/22 - o - 23. Let n(g) = 0. What is g?
0, 3
Suppose 12 = 2*v + 2*v. Factor 3*l**2 - l**4 + 5*l**v - l**3 + 4*l**4 + 2*l**3.
3*l**2*(l + 1)**2
Let b = -11/169 - -19121/298961. Let o = 31828/12383 - b. Factor -12/7*u + o + 2/7*u**2.
2*(u - 3)**2/7
Let v(s) be the first derivative of 4/7*s**2 - 1/7*s**4 - 8/7*s - 19 + 2/7*s**3 - 2/35*s**5. Factor v(a).
-2*(a - 1)**2*(a + 2)**2/7
Let v be (0 + 4)*(-26)/(-8). Let j(s) = -7*s**4 - 6*s**2 + 6. Let z(p) = 15*p**4 + p**3 + 13*p**2 - 13. Let y(d) = v*j(d) + 6*z(d). Factor y(g).
-g**3*(g - 6)
Let q(v) be the first derivative of v**6/9 - 32*v**5/5 + 139*v**4/2 + 7468*v**3/9 + 2772*v**2 + 3888*v - 148. Suppose q(t) = 0. Calculate t.
-2, 27
Let s = 50 - 47. Factor -4*y**2 - y**2 - s*y**2 + 3*y**2.
-5*y**2
Suppose 40*r - 46*r = 0. Let z(m) be the third derivative of 2/9*m**3 + 0 - 5*m**2 - 7/270*m**5 + r*m + 19/108*m**4. Find i, given that z(i) = 0.
-2/7, 3
Let y = -4535 - -22747/5. Let b = -916/65 + y. Find r, given that 8/13*r + 2/13*r**5 - 6/13*r**3 + b*r**4 - 8/13*r**2 + 0 = 0.
-2, 0, 1
Let -33/4*d**2 - 9*d - 3 - 9/4*d**3 = 0. What is d?
-2, -1, -2/3
Factor -2*s**2 + s**2 - 10 + 13*s + 2*s**2 - 2*s**2 - 6*s.
-(s - 5)*(s - 2)
Let g = 21 + -18. Let -i**g - i**2 + 2 - 2*i**5 - 3*i**3 - 6*i**4 + 6*i + 5*i**2 + 0*i**3 = 0. Calculate i.
-1, 1
Let u(t) be the third derivative of t**5/120 - t**4/12 + t**3/4 - 95*t**2. Determine i so that u(i) = 0.
1, 3
Suppose 3*y - 4*g - 5 = 10, 3*y = -3*g + 15. Let d**y + d**5 - 2*d**4 - 5*d**5 + 5*d**4 = 0. Calculate d.
0, 1
What is p in -3/5*p**5 - 33/5*p**2 + 9/5*p**4 + 21/5*p**3 - 18/5*p + 24/5 = 0?
-2, -1, 1, 4
Let s = -21 + 27. Let k be (-4)/(160/(-44)) + s/(-10). Factor 5/4*m**2 - k*m**3 + 1/4 - m.
-(m - 1)**2*(2*m - 1)/4
Determine x so that -1/2*x**4 - 30*x - 23*x**2 - 6*x**3 - 25/2 = 0.
-5, -1
Suppose 11 = -3*g - 49. Let k be (-3)/((-216)/(-116)) - g/8. Factor -k + 4*j - 40/9*j**2 + 4/3*j**3.
4*(j - 2)*(j - 1)*(3*j - 1)/9
Let h(i) be the first derivative of 2*i**5/35 - 2*i**4 + 18*i**3/7 - 302. Factor h(s).
2*s**2*(s - 27)*(s - 1)/7
Let u be 0/(2 + -10)*(-2 - -3). Let i(d) be the third derivative of 1/60*d**6 + 1/12*d**5 - 9*d**2 + u*d**3 + 0 + 0*d + 1/12*d**4. Factor i(r).
r*(r + 2)*(2*r + 1)
Let s(h) = -h**5 + h**4 + h**2 - 2. Let f(j) = -12*j**5 + 16*j**4 + 8*j**3 - 24*j**2 + 28*j - 24. Let m(w) = f(w) - 8*s(w). Factor m(q).
-4*(q - 1)**4*(q + 2)
Let 3429/7*u**2 + 4629/7*u**3 + 2295/7*u**4 + 12 + 243/7*u**5 + 936/7*u = 0. What is u?
-7, -1, -2/9
Let g(r) be the first derivative of -r**4/3 + 476*r**3/9 - 2320*r**2 - 4800*r - 181. Suppose g(h) = 0. What is h?
-1, 60
Solve 6*f**2 - 4*f - 3*f**3 + 0 + 1/2*f**4 = 0.
0, 2
Let s be (-19)/532*-4 + 214/70. Factor 0*r**3 - 6/5 + 2/5*r**4 - s*r - 12/5*r**2.
2*(r - 3)*(r + 1)**3/5
Let u = -13614 + 13618. Factor -9/4*h**3 - 3/2*h**u + 0 + 0*h**2 + 3/4*h.
-3*h*(h + 1)**2*(2*h - 1)/4
Suppose 4*p - 228 - 32 = 0. Let g = 67 - p. Suppose 9/2*d**g - 15*d + 9/2 = 0. Calculate d.
1/3, 3
Let i(o) = -o**3 + o**2 + 19*o + 7. Let d be i(5). Factor -10*b**2 - 4*b**5 - 2*b + 6*b**3 + 2*b**5 + d*b**4 + 6*b.
-2*b*(b - 1)**3*(b + 2)
Let y(a) be the third derivative of 2/9*a**4 + 0 + 0*a + 1/30*a**6 - 8/45*a**5 - 8*a**2 + 0*a**3. Suppose y(z) = 0. Calculate z.
0, 2/3, 2
Let d(t) be the first derivative of -45 - 15/2*t**2 + 0*t - 5/3*t**3. Factor d(w).
-5*w*(w + 3)
Let n be (-4 - 0)/(-180)*(-30)/(-5 - 0). Determine m, given that -n*m**2 + 2/15*m + 4/15 = 0.
-1, 2
Let y(m) be the first derivative of -m**6/120 - m**5/40 + m**4/4 + 5*m**3/3 + 2. Let v(b) be the third derivative of y(b). Find f, given that v(f) = 0.
-2, 1
Let x(y) be the first derivative of -2*y**5/35 - 2*y**4/7 + 22*y**3/7 + 4*y**2/7 - 64*y/7 + 166. What is w in x(w) = 0?
-8, -1, 1, 4
Let h(d) be the second derivative of -d**4/3 - 68*d**3/3 + 372*d. Determine i so that h(i) = 0.
-34, 0
Factor -33/2 - 67/4*z - 1/4*z**2.
-(z + 1)*(z + 66)/4
Let c(n) be the third derivative of n**5/12 + 25*n**4/6 + 250*n**3/3 + 93*n**2. Let c(s) = 0. What is s?
-10
Let f be (-273)/14*8/(-6). Suppose -2 = 8*z - f. Factor -4/3*c**z - 1/3*c**4 - 4/3*c - 2*c**2 - 1/3.
-(c + 1)**4/3
Factor 1/11*z**2 + 6 + 35/11*z.
(z + 2)*(z + 33)/11
Let z(m) be the third derivative of 2*m**7/175 + 23*m**6/300 + 7*m**5/50 - 2*m**4/15 - 4*m**3/5 + 17*m**2 - 3. What is v in z(v) = 0?
-2, -3/2, -1, 2/3
Let z = 32897/17 + -1935. What is x in -z*x**3 + 2/17*x**2 + 2/17*x - 2/17 = 0?
-1, 1
Let j(t) be the second derivative of -t**7/3150 + t**5/150 - 5*t**4/3 + 11*t. Let b(i) be the third derivative of j(i). Factor b(w).
-4*(w - 1)*(w + 1)/5
Let t(f) be the first derivative of -2/11*f + 1/22*f**4 - 2/11*f**3 + 3/11*f**2 - 2. Factor t(k).
2*(k - 1)**3/11
Let f(x) be the first derivative of x**3/9 + 191*x**2/6 - 64*x - 150. Factor f(o).
(o - 1)*(o + 192)/3
Let u(g) be the first derivative of 0*g - 1/10*g**2 + 8 + 1/20*g**4 + 0*g**3. Determine f, given that u(f) = 0.
-1, 0, 1
Let b(a) = -a**3 + 2*a**2 + 3*a + 3. Let j be b(3). Let n be -3*(2 - (-48)/(-18)). Let -2*p - 9*p - 2*p**n + j*p = 0. Calculate p.
-4, 0
Let o = -1 + 13. Factor -d**3 + 3*d + o*d**2 - 11*d - 3*d**3.
-4*d*(d - 2)*(d - 1)
Let r = 14881/5954 + 2/2977. Let l(z) be the first derivative of 0*z + z**5 + 0*z**3 - 9 + 0*z**2 + r*z**4. Solve l(u) = 0.
-2, 0
Solve 0 + 1/3*k**4 + 0*k - 1/3*k**3 + 0*k**2 = 0.
0, 1
Let x = 79922/46613 + -2/6659. Solve 6/7 - 2/7*w - x*w**2 + 4/7*w**3 - 2/7*w**5 + 6/7*w**4 = 0.
-1, 1, 3
Find x, given that 4*x**5 - 128*x + 64*x**2 - 20*x**4 - 534 + 8*x**3 - 575 + 8*x**3 + 1173 = 0.
-2, 1, 2
Suppose -v - 2*d = -31, -v = v + d - 68. Let o(g) = -5*g**2 - g + 16. Let u(c)