3 - 2/9*q**4 - 8 + 0*q + 0*q**2. Find g, given that b(g) = 0.
-2, 0
Let g(h) be the second derivative of -9*h**5/20 + 31*h**4/4 - 18*h**3 - 140*h - 3. Solve g(f) = 0.
0, 4/3, 9
Let k(t) be the second derivative of t**4/78 - 10*t**3/13 - 31*t**2/13 - 7*t - 17. Factor k(j).
2*(j - 31)*(j + 1)/13
Let t = 29 - 30. Let a be (0 - (6 - 4))*t. Solve -1/3*c**a - 1/3*c + 0 = 0 for c.
-1, 0
Let s(u) = -u**3 + 13*u**2 - 22*u + 4. Let q be s(11). Let o be (2 - (-18)/(-15))*1/q. Determine n, given that 4/5*n + 4/5 + o*n**2 = 0.
-2
Let b be 4/8 + 10/4. Find o such that 6*o + 27*o**2 - 26*o**2 + b + 6 = 0.
-3
Let t(h) be the first derivative of 9 - 5*h + 1/2*h**2 + 5/12*h**4 - 2/3*h**3 - 1/10*h**5. Let y(r) be the first derivative of t(r). Factor y(b).
-(b - 1)**2*(2*b - 1)
Let 6 - 291/4*d + 48*d**4 - 420*d**3 + 297*d**2 = 0. What is d?
1/4, 8
Find u, given that -3/5*u**5 - 12*u + 33/5*u**3 - 6/5*u**4 + 24/5*u**2 - 48/5 = 0.
-4, -1, 2
Suppose 22*a - 23*a + 2*m + 1 = 0, 4*m - 13 = -3*a. Let o(p) be the first derivative of 10/3*p**3 + 8*p - 8*p**2 - a - 1/2*p**4. Solve o(g) = 0.
1, 2
Let q = -1/23343 - -70031/46686. Factor -3/4*y + 3/2 - q*y**2 + 3/4*y**3.
3*(y - 2)*(y - 1)*(y + 1)/4
Let x be 15/9*8/840. Let g(u) be the second derivative of 1/36*u**6 - 1/36*u**3 - u - 5/72*u**4 + 0*u**2 + 0 - 1/40*u**5 + x*u**7. Let g(w) = 0. Calculate w.
-1, -1/4, 0, 1
Let r(z) be the first derivative of -z**6/360 - z**5/45 - z**4/18 + 21*z**2 - 12. Let t(h) be the second derivative of r(h). Let t(a) = 0. What is a?
-2, 0
Let u(q) = -2*q - 33. Let s be u(-19). Suppose 16 + 9 = -5*h, s*t = 3*h + 15. Factor 0 + 5/2*j**4 + t*j**2 + 0*j - 1/2*j**3.
j**3*(5*j - 1)/2
Let u(n) = n**3 + 5*n**2 - 3*n - 12. Let k be u(-5). Factor k*g + 2*g**2 + 3 - 5 + 5*g + 8.
2*(g + 1)*(g + 3)
Let u(g) be the third derivative of -g**6/30 + 4*g**5/9 - 2*g**4/3 - g**2 - 73*g. Factor u(c).
-4*c*(c - 6)*(3*c - 2)/3
Let p(d) be the second derivative of -d**8/50400 + d**7/18900 + d**6/2700 + 11*d**4/12 - 9*d. Let w(n) be the third derivative of p(n). Factor w(l).
-2*l*(l - 2)*(l + 1)/15
Let d(f) be the third derivative of -f**5/270 + 5*f**4/54 + 8*f**3/9 - 655*f**2. Factor d(q).
-2*(q - 12)*(q + 2)/9
Let r(x) be the third derivative of -x**5/12 + 10*x**3/3 + 154*x**2. Determine o, given that r(o) = 0.
-2, 2
Let h(q) = -q - 2. Let y be h(-13). Suppose 5*t**5 + 493*t**4 - 4*t**2 + y*t**5 + 20*t**3 - 521*t**4 - 4*t**5 = 0. Calculate t.
0, 1/3, 1
Let 2/3*t**4 + 12328/3*t + 1228*t**2 - 178/3*t**3 + 8464/3 = 0. What is t?
-2, -1, 46
Let k = 18 - 15. Suppose 2*f = j - 8, 0*f - 9 = k*j + 5*f. Let -2*r**4 - 1 - j*r**3 - 47*r**2 + 49*r**2 + 2*r + 1 = 0. What is r?
-1, 0, 1
Let v(j) be the second derivative of -j**8/3360 + j**7/420 - j**5/15 - 31*j**4/12 + 34*j. Let y(f) be the third derivative of v(f). Factor y(p).
-2*(p - 2)**2*(p + 1)
What is l in 0 - 308/5*l**2 - 80*l**3 + 28/5*l**4 + 24*l = 0?
-1, 0, 2/7, 15
Let a(o) = 78*o**3 + 171*o**2 - 399*o + 260. Let l(c) = 14*c**3 + 34*c**2 - 80*c + 52. Let n(f) = -4*a(f) + 22*l(f). Suppose n(t) = 0. Calculate t.
1, 2, 13
Let 32/11*p - 12/11*p**3 - 6/11 + 26/11*p**2 = 0. What is p?
-1, 1/6, 3
Suppose 3 = -j - 4*d, -d - 50 = -5*j - 23. Determine l so that -1/2*l**j - 1/2 + l**2 - 1/2*l - 1/2*l**4 + l**3 = 0.
-1, 1
Determine q, given that 0 - 8*q**2 + 8/15*q - 62/15*q**3 = 0.
-2, 0, 2/31
Let u(m) be the second derivative of -m**4/30 + 6*m**3/5 + 38*m. Factor u(y).
-2*y*(y - 18)/5
Factor 102 + 7 - 60*x + 94 + 247 + 2*x**2.
2*(x - 15)**2
Let t(j) = 3 + 20*j - 12*j + 4 + j**2. Let c(n) = -2*n**2 - 17*n - 15. Let y be 10 + -9 + 5*1. Let i(a) = y*c(a) + 13*t(a). Factor i(z).
(z + 1)**2
Let -6/5*c**4 + 14/5*c**3 - 12/5 + 18/5*c**2 - 14/5*c = 0. Calculate c.
-1, -2/3, 1, 3
Let i = 15114 + -136019/9. Determine l, given that 5/9*l**4 - 1/9*l**5 - i*l**3 - 4/9 - 1/9*l**2 + 8/9*l = 0.
-1, 1, 2
Let l(i) be the first derivative of 25*i**4/4 - 10*i**3/3 - 140. What is d in l(d) = 0?
0, 2/5
Let i(h) be the third derivative of 2*h**7/15 + 2081*h**6/30 + 51998*h**5/5 + 98864*h**4/3 + 87616*h**3/3 + 217*h**2. Solve i(b) = 0.
-148, -1, -2/7
Let m = -8/74339 - 726514975/669051. Let l = 1087 + m. Find x, given that -10/9*x**4 - 2/9*x**5 - 2/9 - 20/9*x**2 - l*x - 20/9*x**3 = 0.
-1
Let b(h) be the third derivative of h**6/60 - 4*h**5/15 + 7*h**4/12 + 16*h**2. Suppose b(p) = 0. What is p?
0, 1, 7
Let o(a) be the third derivative of 2/21*a**7 + 11/24*a**6 + 0*a - 5/12*a**4 + 0*a**3 - 8*a**2 + 0 + 5/12*a**5. What is k in o(k) = 0?
-2, -1, 0, 1/4
Let c(t) be the second derivative of 9*t**5/20 + 5*t**4/16 - t**3/12 - t**2/8 - 9*t - 10. Find u such that c(u) = 0.
-1/3, 1/4
Solve -2/3*x**2 + 10/3*x - 8/3 = 0.
1, 4
Let p(j) = j**2 + 91*j - 1348. Let o be p(13). Suppose 0 + 0*t**2 + 2*t**3 - 1/2*t**5 + 0*t + 0*t**o = 0. Calculate t.
-2, 0, 2
Let x = -4978 + 4980. Let h = 17/18 - 4/9. Let -1/2*p**x - p - h = 0. Calculate p.
-1
Factor -8/3*a + 5*a**2 + 1/3*a**4 + 8/3*a**3 - 16/3.
(a - 1)*(a + 1)*(a + 4)**2/3
Let l(u) be the third derivative of 0*u + 0*u**3 - 1/140*u**6 - 1/245*u**7 + 0 - 1/210*u**5 - 1/1176*u**8 + 0*u**4 - 29*u**2. Factor l(b).
-2*b**2*(b + 1)**3/7
Let g(o) be the second derivative of -8*o + 0 + 0*o**4 + 0*o**2 + 0*o**3 + 2/35*o**5 + 2/21*o**6. Factor g(y).
4*y**3*(5*y + 2)/7
Let d(w) = -3*w**3 + 12*w**2 - 4*w + 5. Let z be d(5). Let a = 92 + z. Solve 4/7*r - 1/7*r**a - 4/7 = 0.
2
Let t = -20 + 24. Let c be (5/t)/(2/8). Let p**2 + 5*p**c + 2*p**2 - 2*p**5 - 6*p**2 + 3*p**4 - 3*p**3 = 0. Calculate p.
-1, 0, 1
Let m(z) be the third derivative of 1/18*z**3 - 4*z**2 - 1/360*z**5 + 0 + 0*z - 1/144*z**4. Factor m(s).
-(s - 1)*(s + 2)/6
Let i(c) = -c**4 - c**3 + c. Let x(m) = -381*m**4 + 807*m**3 + 216*m**2 - 954*m. Let s(b) = 18*i(b) - x(b). Solve s(w) = 0.
-1, 0, 18/11
Let n = 7381 - 7379. Factor 16/13*f - 6/13*f**n - 8/13.
-2*(f - 2)*(3*f - 2)/13
Let j(v) be the first derivative of -v**6/420 - 2*v**5/105 - v**4/28 - 5*v**2 + 8. Let w(a) be the second derivative of j(a). Factor w(k).
-2*k*(k + 1)*(k + 3)/7
Let m = 1628 + -967. Let z = 1349/2 - m. Factor z*j + 0 - 9*j**2 + 3/2*j**3.
3*j*(j - 3)**2/2
Let u be -7 - (((-92)/12)/(-1))/(-1). Solve 2 - u*t**5 + 14/3*t - 4*t**3 - 10/3*t**4 + 4/3*t**2 = 0 for t.
-3, -1, 1
Let a(c) = 2*c**4 - 3*c**3 - 6*c**2 - 4*c + 3. Let i(b) = -22*b**4 + 34*b**3 + 66*b**2 + 44*b - 34. Let j(y) = -68*a(y) - 6*i(y). Factor j(p).
-4*p*(p - 2)*(p + 1)**2
Let t(y) be the third derivative of -15/32*y**4 - 9/80*y**5 - 1/160*y**6 + 13*y**2 + 0*y + 0 + 25/8*y**3. Find v such that t(v) = 0.
-5, 1
Let n(f) be the second derivative of -1/48*f**4 - 5*f + 0 + 5/12*f**3 - 9/8*f**2. Suppose n(q) = 0. What is q?
1, 9
Let x(t) be the third derivative of 5*t**7/448 - t**6/96 + t**5/240 + 5*t**4/24 - 10*t**2. Let p(o) be the second derivative of x(o). Solve p(s) = 0 for s.
2/15
Let r be ((-2 - 6)/2)/(2*(-42)/8). Suppose 2/21*h**4 - 4/7*h - r*h**3 + 0 - 22/21*h**2 = 0. What is h?
-1, 0, 6
Let y(b) = b**3 + 76*b**2 + 2. Let u be y(-76). Let 1/6*d**u + 0 - 1/3*d = 0. Calculate d.
0, 2
Let l = 8650/5767 + 1/11534. Factor -1/4*d**3 + 2 + 1/4*d**4 + d - l*d**2.
(d - 2)**2*(d + 1)*(d + 2)/4
Factor 76/7*l - 2/7*l**2 - 722/7.
-2*(l - 19)**2/7
Let h be -1*(-26)/6 - 2/6. Suppose h = a - 0, 20 = 4*w - 5*a. Solve 48/5*r + 8/5 + w*r**3 + 18*r**2 = 0 for r.
-1, -2/5
Factor -4*d - 6/5 - 2/5*d**4 - 24/5*d**2 - 12/5*d**3.
-2*(d + 1)**3*(d + 3)/5
Let r be -6*164/(-24)*-3 - 0. Let p be 3/(r/(-9) - 8/48). Let p*t**3 - 2/9*t + 2/9 - 2/9*t**2 = 0. What is t?
-1, 1
Let n(z) = z**4 - z**3 + 5*z**2 + 2*z. Let u(d) = 5*d**4 - 8*d**3 + 33*d**2 + 16*d - 4. Let l(m) = -6*n(m) + u(m). Factor l(b).
-(b - 1)**2*(b + 2)**2
Let x = -178836/5 + 35768. Factor -6/5*v**2 + 8/5*v + 2/5*v**4 + 8/5 - x*v**3.
2*(v - 2)**2*(v + 1)**2/5
Factor -5*i**4 - 148*i**2 + 67*i**2 + 71*i**2 + 15*i**3.
-5*i**2*(i - 2)*(i - 1)
Let r(j) be the second derivative of 3/2*j**2 + 1/4*j**4 + j**3 - 14*j + 0. Factor r(g).
3*(g + 1)**2
Suppose -13*f - 14 = -53. Let k(s) be the second derivative of -3*s + 1/12*s**4 + 0 + 0*s**2 + 1/6*s**f. Suppose k(p) = 0. Calculate p.
-1, 0
Let x = -196 + 182. Let q be x/4*(-104)/182. Let -1/2*l**3 - 11/6*l**2 - 2/3 - q*l = 0. What is l?
-2, -1, -2/3
Let c(p) be the second derivative of p**7/3360 + p**6/480 - p**4