) be the second derivative of d**5/20 - d**4 - 74*d**3/3 - 120*d**2 - 1007*d + 2. Factor h(j).
(j - 20)*(j + 2)*(j + 6)
Let w(q) be the third derivative of -3/13*q**6 - 1366875/13*q**3 - 1/1365*q**7 + 0*q + 0 - 405/13*q**5 - 30375/13*q**4 - 24*q**2. Factor w(x).
-2*(x + 45)**4/13
Suppose -37*s + 113*s - 152 = 0. Let n(m) be the second derivative of 0 - 1/3*m**s + 2/9*m**3 + 7*m - 1/18*m**4. Factor n(w).
-2*(w - 1)**2/3
Suppose 20*z = 3*g + 21*z - 39, 0 = -g - 6*z + 30. Let i(l) be the first derivative of -g + 0*l - 1/18*l**2 - 1/27*l**3. Factor i(s).
-s*(s + 1)/9
Let d(v) = -18*v - 175. Let x be d(-13). Determine c so that -6*c**5 - 22*c**5 - 64 - x*c**3 + 112*c + 368*c**2 + 175*c**3 - 113*c**4 + 9*c**4 = 0.
-4, -1, 2/7, 2
Let o = -5/6179 + 12403/55611. Let -o*y**2 + 2/9 + 0*y = 0. Calculate y.
-1, 1
Let b(o) be the second derivative of -3*o**5/80 + 7*o**4/4 - 165*o**3/8 - 675*o**2/4 + 402*o. Solve b(g) = 0 for g.
-2, 15
Let r(y) be the first derivative of 98*y**4/15 - 728*y**3/45 - 11*y**2/3 - 4*y/15 + 391. Factor r(g).
2*(g - 2)*(14*g + 1)**2/15
Let o be 48/(-21)*(-190)/3040. Factor z**2 - o*z**3 + 5/7 - 11/7*z.
-(z - 5)*(z - 1)**2/7
Let u(w) = 2860*w - 74358. Let f be u(26). Factor -294 + 21*v - 3/8*v**f.
-3*(v - 28)**2/8
Factor -1058*n - 1/2*n**3 - 46*n**2 + 0.
-n*(n + 46)**2/2
Let z(c) = -c**3 + 3*c**2 - c + 5. Let j be z(-6). Let q be 2/(-19) - (j/475)/(-1). Find o such that 1/5*o**3 + 3/5*o**2 + 1/5 + q*o = 0.
-1
Find s, given that 0 + 201*s**3 + 200/3*s - 203/3*s**4 + 1/3*s**5 - 601/3*s**2 = 0.
0, 1, 200
Suppose 24*b - 214/9*b**3 + 48 - 44*b**2 - 4*b**4 - 2/9*b**5 = 0. What is b?
-6, -1, 1
Let u be (6/(-120)*-92 - 48/12)*(2 - 1). Determine s, given that 9/5*s**4 + u*s - 6/5 + 33/5*s**2 + 33/5*s**3 = 0.
-2, -1, 1/3
Let i(h) be the second derivative of h**6/135 - 2*h**5/15 - 25*h**4/18 + 682*h**3/27 + 968*h**2/3 - 223*h - 16. Let i(p) = 0. What is p?
-6, -4, 11
Factor -524 - 782/3*q + 2/3*q**2.
2*(q - 393)*(q + 2)/3
Let a be (-2)/13*(-17 + -9). Let 3*z**5 - 45*z - 54 + 17*z**3 + 62*z**2 + 4*z**2 + z**3 + 19*z**2 - 37*z**2 - 18*z**a = 0. What is z?
-1, 2, 3
Let z be (-27)/(-18)*1/(-3)*-206. Suppose 234 = z*s - 25*s. Let 16/3*a**4 + 2/3*a**5 + 0 + 16*a**2 + 44/3*a**s + 6*a = 0. Calculate a.
-3, -1, 0
Let s(v) be the first derivative of -17*v**5/20 - 681*v**4/8 - 40*v**3/3 - 9110. Solve s(j) = 0.
-80, -2/17, 0
Solve 587/3*c**3 - 5/3*c**4 - 236/3*c + 356/3*c**2 + 0 = 0 for c.
-1, 0, 2/5, 118
Suppose 0 = -44*t - 1106 + 12370. Let r be ((-10)/(-8)*1)/(192/t). Factor 0 + 6*q + 32/3*q**3 + 19*q**2 + r*q**4.
q*(q + 3)**2*(5*q + 2)/3
Let l(f) = f - 1. Let a(t) = 2*t**4 - 126*t**3 + 124*t**2 + 12*t - 12. Let u(r) = -a(r) + 12*l(r). Let u(v) = 0. Calculate v.
0, 1, 62
Determine f, given that -944/7*f + 940/7 + 4/7*f**2 = 0.
1, 235
Suppose 37*l - 155 = 6*l. Let r be 183/24 + l + -4 + -6. Factor -r*v**3 + 6*v**2 - 3/2*v + 0.
-3*v*(v - 2)*(7*v - 2)/8
Let j(f) be the third derivative of -3*f**7/70 + 31*f**6/40 + 73*f**5/10 + 29*f**4/2 - 28*f**3 + 1347*f**2. Let j(m) = 0. Calculate m.
-2, 1/3, 14
Suppose 0 = -12*x + 3648 - 3396. Let s be 57/x - (-74)/259. Factor 0 - 2/3*n + 1/3*n**5 - n**s - 5/3*n**2 + 1/3*n**4.
n*(n - 2)*(n + 1)**3/3
Suppose 50*s = 108*s + 85*s - 2288. Determine m so that 4/3*m**5 + 64*m - s*m**3 - 80/3*m**2 + 0 + 4*m**4 = 0.
-4, -3, 0, 2
Let u(f) be the second derivative of 122/21*f**3 + 2 + 3721/7*f**2 + 157*f + 1/42*f**4. Find p such that u(p) = 0.
-61
Let -3456/5 + 2/5*c**5 + 22/5*c**4 - 4752/5*c - 52/5*c**3 - 1368/5*c**2 = 0. What is c?
-6, -1, 8
Let h = -20284 - -20288. Let l(f) be the second derivative of -1/3*f**3 - 3*f - 6 - 4/3*f**2 + 1/18*f**h. Suppose l(k) = 0. Calculate k.
-1, 4
Suppose 40339*z = 40861*z - 12528. Factor -1/4*p**3 + z + 8*p - 1/2*p**2.
-(p - 6)*(p + 4)**2/4
Suppose k = 5*t - 9, 0 = -4*t + k - 14274 + 14283. Suppose 10/3*j**4 + t + 2/3*j**5 - 14/3*j**3 - 10/3*j**2 + 4*j = 0. What is j?
-6, -1, 0, 1
Let b = 42257/10 - 4223. Let v(m) be the third derivative of -81/2*m**3 - 3*m**2 + 0*m + 27/2*m**4 - 1/70*m**7 + 3/10*m**6 + 0 - b*m**5. Factor v(w).
-3*(w - 3)**4
Let g(l) be the third derivative of 0*l + 2 + 1/14*l**4 - 1/210*l**5 + 0*l**3 - 46*l**2. Let g(z) = 0. Calculate z.
0, 6
Let p = 485666/222607 + 2/20237. Solve -36/11*m + 0 + p*m**3 + 6/11*m**2 + 6/11*m**4 = 0.
-3, -2, 0, 1
Let n(k) be the second derivative of k**5/45 + 5*k**4/18 + 8*k**3/9 - 29*k**2 + 75*k. Let v(w) be the first derivative of n(w). Solve v(p) = 0.
-4, -1
Suppose b - 2*b + 13 = 5*i, -b + 4 = 2*i. Factor 55*a**2 - 5*a**4 - 60*a + 53*a**i - 180 - 43*a**3 + 0*a.
-5*(a - 3)**2*(a + 2)**2
Suppose -13 = 6*a - 25. Let z(v) = 6*v - 12. Let i be z(a). Solve -1/6*t**2 + 1/6 + i*t = 0.
-1, 1
Let z = -13489 - -809341/60. Let q(k) be the third derivative of -4*k**3 - z*k**6 + 2/3*k**4 + 0*k - 45*k**2 + 1/30*k**5 + 0. Let q(i) = 0. Calculate i.
-3, 2
Factor 10*m**2 + 291*m - 49*m**2 - 168 - 3*m**4 - 17*m**2 - 39*m**3 - 29*m**2 + 4*m**2.
-3*(m - 1)**2*(m + 7)*(m + 8)
Let a(o) = -o**2 + 39*o - 274. Let m be a(29). Suppose -9 = -3*j - 3*u - 0*u, -3*j + 4*u + m = 0. Factor 5/8*z**j + 1/4*z**3 + 0 + 0*z**2 + 0*z.
z**3*(5*z + 2)/8
Let z(m) be the second derivative of -m**6/45 + 121*m**5/50 - 79*m**4/10 + 353*m**3/45 - 11*m + 262. Let z(p) = 0. Calculate p.
0, 1, 353/5
Let h be (0/(-2)*(-77)/(-77))/(1 + 2). Let -20*b**3 + 125/3*b**5 + h - 14/3*b**2 - 50/3*b**4 - 1/3*b = 0. What is b?
-1/5, 0, 1
Let k = 18817/75292 - -3/37646. Factor k*g**3 - 1/4*g - 3/4 + 3/4*g**2.
(g - 1)*(g + 1)*(g + 3)/4
Determine m, given that 113288/3 + 952/3*m + 2/3*m**2 = 0.
-238
Suppose 5*x + 360 = 20*x. Suppose 35*y - x = 23*y. Factor 0*c + 0 + 2/5*c**y - 2/5*c**4 + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/5
Suppose -k + 0*k + 3 = 0. Let o be 4*(3 - k - -1). Suppose -4*z**2 - 14*z**3 + 30*z**3 - 24*z**3 - 4*z**o = 0. What is z?
-1, 0
Let l(s) = -13*s - 2. Let q be l(-2). Let 27 + 93*u**2 + 5*u**3 + 57 - 20*u - 108*u**2 - q = 0. Calculate u.
-2, 2, 3
Let w = 9055 - 27163/3. Let f(q) be the first derivative of -w*q**4 - 2/3*q**3 + 0*q**2 + 0*q - 2/15*q**5 - 8. What is c in f(c) = 0?
-3, -1, 0
Let x = 27661 - 193619/7. Suppose 3*m - 15 = -2*m, 0 = -4*g - m + 11. Factor -x*a**g - 4/7*a**3 + 4/7*a + 6/7 + 2/7*a**4.
2*(a - 3)*(a - 1)*(a + 1)**2/7
Let p(b) be the second derivative of -3*b**3 + 0*b**2 + 26*b + 0 - 1/4*b**4. Solve p(f) = 0 for f.
-6, 0
Let h(q) be the third derivative of q**6/114 + 127*q**5/190 - 349*q**4/228 + 26*q**3/19 - 2379*q**2. Solve h(v) = 0.
-39, 2/5, 1/2
Suppose -4032*i + 4024*i + 48 = 0. Let l be (-6)/4*(i - 276/45). Suppose 1/10*k**5 - 1/2*k + 1/5*k**2 - 2/5*k**4 + 2/5*k**3 + l = 0. Calculate k.
-1, 1, 2
Let c(b) be the second derivative of 0*b**2 + 8/3*b**3 - 7*b + 1/45*b**6 - 5 + 49/18*b**4 + 13/15*b**5. Solve c(h) = 0.
-24, -1, 0
Factor -8/7*u**3 + 8/7*u**2 + 4/7*u - 4/7 - 4/7*u**4 + 4/7*u**5.
4*(u - 1)**3*(u + 1)**2/7
Let p(h) be the second derivative of h**4/6 + 2252*h**3/3 + 1267876*h**2 + 16*h - 15. Factor p(o).
2*(o + 1126)**2
Let x(p) be the second derivative of -1/60*p**6 + 0*p**2 + 1/8*p**5 - 47 - 7/24*p**4 + 1/4*p**3 + 2*p. Suppose x(l) = 0. Calculate l.
0, 1, 3
Suppose 30 - 128*f + 65/2*f**2 - 2*f**3 = 0. Calculate f.
1/4, 6, 10
Let x(d) be the first derivative of 3*d**5/5 + 150*d**4 + 10198*d**3 + 29700*d**2 + 29403*d - 616. Factor x(c).
3*(c + 1)**2*(c + 99)**2
Factor 877/4*p**2 - 355*p + 5/4*p**3 - 177.
(p - 2)*(p + 177)*(5*p + 2)/4
Determine x, given that -5352 + 79*x**2 + 114*x**2 - 4*x**3 + 4840 - 248*x + 67*x**2 = 0.
-1, 2, 64
Let l(n) be the second derivative of 99*n + 0 - 7/36*n**3 + 2/3*n**2 - 1/72*n**4. Let l(u) = 0. What is u?
-8, 1
Factor -y + 730*y**2 - 1160*y**2 + 4*y + 653*y**2 - 5*y.
y*(223*y - 2)
Suppose -3*g - 5 = -14. Suppose -4*w + 2*w - 4*a = 8, 0 = -g*w + a + 9. Factor -10*l**3 + 4*l**4 + 10*l - l**w + l**4 - 4*l**2.
5*l*(l - 2)*(l - 1)*(l + 1)
Let h be 56/10*(10/(-1) + 15480/1440). Solve 36/5 - h*y**2 + 12/5*y + 3/5*y**3 = 0 for y.
-1, 2, 6
Let c(r) be the third derivative of r**6/72 - 5*r**4/6 + 35*r**3/3 + 15*r**2 - 1. Let l(y) be the first derivative of c(y). Find d, given that l(d) = 0.
-2, 2
Let 1298*t**2 - 106*t - 1296*t**2 + 12*t = 0. Calculate t.
0, 47
Let h(m) = m**2 - 17*m + 19. Let x be h(16). Find p such that -15*p**2 