 16*u**4 = 0. Calculate u.
0, 1/2, 17
Let j(m) be the first derivative of -3/10*m**5 + 0*m**2 - 3/4*m**4 - 1/2*m**3 + 3 + 0*m. Factor j(o).
-3*o**2*(o + 1)**2/2
Let w(a) be the third derivative of a**7/1050 - a**6/60 - 13*a**5/100 - 2*a**2 + 70. Factor w(u).
u**2*(u - 13)*(u + 3)/5
Factor 99*v + 16 + 124*v**2 + 21*v + 136*v.
4*(v + 2)*(31*v + 2)
Let w(b) be the second derivative of b**7/4410 - b**6/1260 + 5*b**4/12 + 16*b. Let t(a) be the third derivative of w(a). Let t(j) = 0. Calculate j.
0, 1
Suppose -10 = -4*l + 2*f, 11 = 4*l + l - 3*f. Let x(v) be the first derivative of 4*v + 7/2*v**l - 8*v**3 + 3*v**2 + 2. Factor x(s).
2*(s - 1)**2*(7*s + 2)
Let j(n) = 3*n**5 + 10*n**4 + 10*n**3 + 2*n**2 + n. Let u(k) = -k**4 - k**3 + k**2 - k. Let m(f) = j(f) + u(f). Let m(c) = 0. Calculate c.
-1, 0
Factor -8/3*y**2 + 0 + 7/6*y**4 + 0*y - 4/3*y**3 - 1/6*y**5.
-y**2*(y - 4)**2*(y + 1)/6
Let c(g) = g + 3. Let v be c(-1). Factor -65*f - 9*f**v - 10 + 36*f**2 - 17*f**2 + 65*f**3.
5*(f - 1)*(f + 1)*(13*f + 2)
Let t(y) be the third derivative of 0*y + 0 - 14*y**2 - 1/15*y**5 - 7/24*y**4 + 1/3*y**3. Find f, given that t(f) = 0.
-2, 1/4
Factor -241/6*n**2 - 115/6*n**3 - 32/3 - 19/6*n**4 - 1/6*n**5 - 104/3*n.
-(n + 1)**3*(n + 8)**2/6
Let u(c) = -c**4 + 11*c**3 + c**2 - 11*c - 11. Let l(a) = a**3 - a - 1. Let z be -18 - 2*(0 + 2). Let w(o) = z*l(o) + 2*u(o). Let w(s) = 0. What is s?
-1, 0, 1
Let o(v) = v**3 + 69*v**2 + 135*v + 58. Let l(k) = -4*k**3 - 208*k**2 - 404*k - 176. Let h(m) = 3*l(m) + 8*o(m). Factor h(d).
-4*(d + 1)**2*(d + 16)
Let q(t) = t**3 - 7*t**2 + 2. Let f be q(7). Suppose 2*k**4 + k**2 + 3*k**f - 6*k**4 = 0. Calculate k.
-1, 0, 1
Let g(k) be the second derivative of 0 - k**4 + 1/10*k**5 + 4*k**3 - 8*k**2 + 10*k. Solve g(b) = 0 for b.
2
Suppose -3*c - 106 = -56*c. Let u(y) be the third derivative of 0 + 3/8*y**4 + 1/20*y**5 - c*y**3 - 5*y**2 + 0*y. Solve u(o) = 0 for o.
-4, 1
Let m(t) be the third derivative of 0*t + 7/144*t**6 + 0 + 13*t**2 - 5/18*t**3 + 55/144*t**4 - 2/9*t**5. Factor m(v).
5*(v - 1)**2*(7*v - 2)/6
Let v(j) be the first derivative of -j**5/5 + 31*j**4/2 - 456*j**3 + 6137*j**2 - 34295*j - 107. Solve v(x) = 0 for x.
5, 19
Let k(h) be the first derivative of 5*h**6/2 - 96*h**5/5 + 54*h**4 - 64*h**3 + 24*h**2 + 646. Let k(c) = 0. What is c?
0, 2/5, 2
What is o in 10/7*o + 1/7*o**2 + 16/7 = 0?
-8, -2
Let a(u) = 2*u**3 - 84*u**2 + 82*u + 2. Let j be a(41). Factor -4/3 - 5/3*p**j - 1/3*p**3 - 8/3*p.
-(p + 1)*(p + 2)**2/3
Let z = 63 - 61. Let q = -6 + 8. What is a in z*a**q + 3*a - a**2 + a**2 + 6 - 5*a**2 = 0?
-1, 2
Let y(k) be the second derivative of 5*k**6/3 - 7*k**5/2 + 11*k**4/6 - k**3/3 - 59*k. Factor y(o).
2*o*(o - 1)*(5*o - 1)**2
Let j = -60 - -61. Let q be (j - 1) + 17/((-255)/(-18)). Factor -2/5*z**2 - q*z - 4/5.
-2*(z + 1)*(z + 2)/5
Let t(c) be the first derivative of -c**8/1260 + 2*c**7/315 + c**6/54 - 34*c**3/3 - 48. Let b(z) be the third derivative of t(z). Find m, given that b(m) = 0.
-1, 0, 5
Let q be 0 - 3*5/(-5). Let 7*a**4 + 8*a**q - 8*a - 3*a**4 - a**2 - 3*a**2 = 0. Calculate a.
-2, -1, 0, 1
Let a = 314/37 - -97480/259. Let s = 386 - a. Solve -2/7*j**4 + 8/7*j - 4/7*j**3 + 6/7*j**2 - s = 0.
-2, 1
Let z(d) = 3*d**2 + 3*d. Let w be z(-2). Let h be 1302/(-1071) + (-4)/w + 2. Find u such that 2/17*u**5 - h*u**4 + 2/17*u**2 + 4/17*u - 6/17*u**3 + 0 = 0.
-1, 0, 1, 2
Let u(b) = 93*b + 93. Let k be u(-1). Suppose k*q - 4/7*q**5 + 0*q**2 - 8/7*q**3 + 0 - 12/7*q**4 = 0. What is q?
-2, -1, 0
Let t be (5 - (-184)/(-42)) + 10/(-30). Let s = 4 + -4. Factor s + 0*o + 2/7*o**2 + t*o**3.
2*o**2*(o + 1)/7
Let z be (-3 - -1) + 10/5. Let o = 14 + -9. Let g**5 + g**4 + z*g**o + 2*g**2 - 4*g**2 + g**4 - g = 0. What is g?
-1, 0, 1
Let x(b) be the third derivative of 0 + 2/9*b**3 + 0*b + 38*b**2 - 1/360*b**6 + 1/18*b**4 - 1/180*b**5. What is s in x(s) = 0?
-2, -1, 2
Suppose -3*n - 393 = 3*a, n = 4*a + 538 - 9. Let j = a + 666/5. Factor -16/5*s - 6/5*s**2 + j.
-2*(s + 3)*(3*s - 1)/5
Let k(g) be the third derivative of -g**6/320 - 11*g**5/160 + 12*g**2 + 3*g. Factor k(o).
-3*o**2*(o + 11)/8
Let q be 0 + -2 + 253/132. Let p = 1/6 - q. Find m, given that 1/4*m**3 + 0 + p*m**2 - 1/4*m**4 - 1/4*m**5 + 0*m = 0.
-1, 0, 1
Let j(a) be the first derivative of 0*a**2 - 2/9*a**3 + 0*a - 10. Solve j(z) = 0.
0
Let b(g) be the third derivative of -g**8/2352 - g**7/735 + g**5/210 + g**4/168 + 22*g**2 - 3*g. What is c in b(c) = 0?
-1, 0, 1
Let h be (-29 - -25)*2/(-5). Factor -h + 0*c + 2/5*c**2.
2*(c - 2)*(c + 2)/5
Suppose -5*p - y = -21 + 18, -4*p - 6 = -2*y. What is o in 0 + p*o + 0*o**2 - 1/5*o**3 + 1/5*o**4 = 0?
0, 1
Let h = -17 - -86/5. Let t be (-117)/(-45) - 18/9. Factor t*w + h*w**2 - 4/5.
(w - 1)*(w + 4)/5
Solve 87*r**4 + 36*r**3 - 179*r**4 + 8*r**2 - 36*r**5 + 84*r**4 = 0.
-1, -2/9, 0, 1
Let o = 36338/5 + -7267. Suppose 9/5 + 36/5*q**2 - 18/5*q**3 - 6*q + o*q**4 = 0. What is q?
1, 3
Factor 0 + 2/9*v**4 + 0*v + 0*v**2 + 8/9*v**3.
2*v**3*(v + 4)/9
Let m(s) = -2*s**2 - 8*s + 7. Let o be m(-4). Suppose 0 = 5*k - 17 + o. Let -1/4*g**k - 1/2*g + 0 = 0. Calculate g.
-2, 0
Factor 0 - 2/17*w**5 - 12/17*w + 38/17*w**2 + 18/17*w**4 - 42/17*w**3.
-2*w*(w - 6)*(w - 1)**3/17
Let b = 1187351884/573 + -2072166. Let q = b - 2/573. Factor 2*m + 2/3*m**2 + q.
2*(m + 1)*(m + 2)/3
Let v = 2/10141 - -20260/111551. Solve 6/11*s**3 - 6/11*s - 2/11*s**2 + 4/11 - v*s**4 = 0 for s.
-1, 1, 2
Let o = 1156 - 1151. Let z(v) be the second derivative of 0 + 1/24*v**4 + 1/60*v**6 + 0*v**2 + 0*v**3 + 4*v - 1/20*v**o. What is w in z(w) = 0?
0, 1
Suppose 2/11*g**2 - 2*g + 60/11 = 0. What is g?
5, 6
Let g(v) be the second derivative of v**9/181440 + v**8/80640 - 3*v**4/4 - 13*v. Let y(c) be the third derivative of g(c). Factor y(u).
u**3*(u + 1)/12
Let g = 2695 + -2695. What is j in 5/3*j**3 - 2*j + 4/3*j**4 + g - 23/3*j**2 = 0?
-3, -1/4, 0, 2
Let r(o) = 5*o**3 + 7*o**2 - 7*o - 3. Let s(n) = 20*n**3 + 29*n**2 - 29*n - 11. Let m = -38 + 29. Let a(f) = m*r(f) + 2*s(f). Factor a(b).
-5*(b - 1)*(b + 1)**2
Suppose 15*w + 4*w - 110*w = 0. Factor 0 + 0*g + w*g**2 + 2*g**4 - 1/2*g**3.
g**3*(4*g - 1)/2
Let -2/5*h**3 - 32*h**2 + 0 - 640*h = 0. Calculate h.
-40, 0
Let g be (6/4)/((-8)/(-288)). Let v be g/36 - 6/4. Find c such that -4*c**4 + v*c**4 + 2*c**3 + 23*c**2 + 4*c - 13*c**2 = 0.
-1, -1/2, 0, 2
Let n(c) be the first derivative of -c**5/240 + c**4/48 + 9*c**2/2 + 6. Let v(o) be the second derivative of n(o). Factor v(w).
-w*(w - 2)/4
Let g(m) = -1. Let q(f) = 3*f**5 - 21*f**4 + 42*f**3 - 24*f**2 - 6. Let x(k) = -6*g(k) + q(k). Find d such that x(d) = 0.
0, 1, 2, 4
Let z(s) be the first derivative of -s**6/6 + 3*s**5/4 - 5*s**4/4 + 5*s**3/6 - 11*s - 3. Let y(c) be the first derivative of z(c). Find m, given that y(m) = 0.
0, 1
Let b = 42529/47835 + -1/5315. Factor -b*k**3 + 8/9 + 34/9*k**2 - 40/9*k.
-2*(k - 2)**2*(4*k - 1)/9
Let f be (66/(-220))/((-2)/108). Factor -3/5*b**3 + 27/5*b**2 + f - 81/5*b.
-3*(b - 3)**3/5
Let u(c) be the third derivative of 0*c**4 + 1/42*c**5 + 0*c**3 + 0 + 0*c - 1/105*c**6 + 35*c**2 - 1/735*c**7. Find w, given that u(w) = 0.
-5, 0, 1
Let u = -511 - -2571/5. Let z = u - 43/15. Factor 0 - 1/3*i**5 + z*i**2 + 0*i + 1/3*i**3 - 1/3*i**4.
-i**2*(i - 1)*(i + 1)**2/3
Let v(l) = 11*l**2 + 2*l + 2. Let q(g) = -22*g**2 - 3*g - 5. Let r(b) = 3*q(b) + 5*v(b). Let n(d) = -6*d**2 - 3. Let f(s) = -5*n(s) + 3*r(s). Solve f(u) = 0.
0, 1
Factor 6*q**3 - 25*q**2 + 30*q - q**3 + 0*q**3 + 60*q**2.
5*q*(q + 1)*(q + 6)
Find v, given that -1/7*v**2 + 6/7*v - 5/7 = 0.
1, 5
Let c(t) = t**2 - 8*t - 16. Let a be c(10). Suppose -5*g + h = 4*h - 22, 6 = 2*g + 4*h. Factor -43*i - g + 71*i - 36*i**2 - 3 - 4*i**a + 20*i**3.
-4*(i - 2)*(i - 1)**3
Let b be ((-100)/(-32) - 3) + 82/(-16). Let k(j) = -20*j + 20. Let p(f) = -f**2 - 20*f + 21. Let d(c) = b*p(c) + 4*k(c). Find n, given that d(n) = 0.
-5, 1
Suppose 0 = 22*z - 12*z. Let q(m) be the third derivative of 0 - 2/9*m**3 + 7/54*m**4 - 9*m**2 + z*m - 2/135*m**5. Factor q(a).
-4*(a - 3)*(2*a - 1)/9
Let p be 0 + 14/(-10 - -17). Let z(w) be the third derivative of -1/630*w**7 + 0*w**4 + 0*w + 0*w**5 + 0*w**3 + 0 + 11*w**p - 1/360*w**6. Factor z(y).
-y**3*(y + 1)/3
Find v such that -4/9*v**2 + 2/3*v + 0 - 2/9*v**3 = 0.
-3, 0, 1
Let m be (-6)/7*(