 - 1/144*i**4 - 3/2*i**2. Let r(z) be the first derivative of l(z). Let r(j) = 0. Calculate j.
0, 1
Let k be (9/4)/(3/8). Let c = k - 4. Factor -2*l**3 - 16*l + 5*l**2 + l**2 + 6*l**c - 2*l**2 + 8.
-2*(l - 2)**2*(l - 1)
Let c(u) be the second derivative of u**7/21 + 2*u**6/75 - u**5/2 - u**4/3 + 4*u**3/3 + 8*u**2/5 + 2*u - 52. Solve c(t) = 0.
-2, -1, -2/5, 1, 2
Let m(v) be the third derivative of -v**7/840 - v**6/96 + v**5/120 + v**4/4 - 979*v**2. Suppose m(l) = 0. Calculate l.
-4, -3, 0, 2
Let b be -26 + 9/(6/(-2)). Let l = 34 + b. Factor 29*j**l + 0*j**3 - 2*j**2 + 2*j**3 - 31*j**5 + 2*j**4.
-2*j**2*(j - 1)**2*(j + 1)
Let s(l) = -4*l**4 + 110*l**3 - 196*l**2 + 90*l + 6. Let v(i) = i**3 - i + 1. Let q(d) = -s(d) + 6*v(d). Factor q(j).
4*j*(j - 24)*(j - 1)**2
Let r = 513 + -4613/9. Factor -2/3*o**4 - 2/9*o**5 + 2/3*o - 4/9*o**3 + 2/9 + r*o**2.
-2*(o - 1)*(o + 1)**4/9
Let z(y) be the second derivative of y**6/80 - 21*y**5/160 + 15*y**4/32 - 13*y**3/16 + 3*y**2/4 + y + 15. Factor z(x).
3*(x - 4)*(x - 1)**3/8
Let u(b) be the second derivative of 16*b**4 + 120*b**3 + 675*b**2/2 - 105*b. Let u(p) = 0. Calculate p.
-15/8
Suppose -3*b + 4*p = 16, 2*b - p + 4 = b. Let 2 + 4*h**2 + b*h + 3*h + h**3 + 2*h = 0. What is h?
-2, -1
Let b(j) be the first derivative of -j**7/840 + j**5/240 - 2*j**2 - 7. Let x(z) be the second derivative of b(z). Find l, given that x(l) = 0.
-1, 0, 1
Suppose -2*f**3 - 2*f**3 + 3*f**3 - 2191*f**2 + 2183*f**2 + 9*f = 0. Calculate f.
-9, 0, 1
Factor 4*v**4 - 12 - 13*v**2 + 2*v + 12*v**3 - 2*v**5 - 28*v + 13*v**2 - 8*v**2.
-2*(v - 3)*(v - 2)*(v + 1)**3
Let k(g) be the third derivative of -15*g**2 - 1/10*g**7 + 7/20*g**5 - 1/40*g**6 + 0 + 0*g**3 + 0*g - 3/8*g**4 + 1/28*g**8. Determine s so that k(s) = 0.
-1, 0, 3/4, 1
Let q(k) be the third derivative of -k**8/168 - 2*k**7/35 + k**6/60 + 19*k**5/15 - 32*k**3/3 - 6*k**2 - 9*k. What is g in q(g) = 0?
-4, -1, 1, 2
Let k = 33 - 32. Let w be k/((-3)/2 - (2 + -5)). Factor 0 - w*p - 2/3*p**3 - 4/3*p**2.
-2*p*(p + 1)**2/3
Let f(b) = -5*b**2 - 5*b + 102. Let r be f(-5). Solve 1/2*i**3 + 0 + r*i + 2*i**2 = 0.
-2, 0
Let q(i) = -i**3 - 8*i**2 - 13*i - 4. Let r be q(-6). Determine n so that -7*n**r - 4*n**2 - 8*n + 7*n**2 = 0.
-2, 0
Let f(o) be the second derivative of 3*o**6/10 - 12*o**5/5 + 37*o**4/12 + 7*o**3 + 4*o**2 - 41*o - 3. Determine q, given that f(q) = 0.
-1/3, 2, 4
Factor 44*v**2 + 22*v + 16*v - 32 - 46*v**2 - 4*v.
-2*(v - 16)*(v - 1)
Let v = 22144 + -22142. Factor 6*a**v - 2/3 + 10/3*a**3 + 2*a.
2*(a + 1)**2*(5*a - 1)/3
Let k be (8/(-7))/((-6)/21). Suppose -6*s + k*s**2 - 12 + 0*s + 3*s - 5*s = 0. Calculate s.
-1, 3
Let f be (8/15)/4*1152/96. Factor -f*z - 4/5*z**3 - 12/5*z**2 + 0.
-4*z*(z + 1)*(z + 2)/5
Let a(o) be the second derivative of -3*o - 1/18*o**2 + 0*o**3 + 1/108*o**4 + 0. Factor a(l).
(l - 1)*(l + 1)/9
Let k(g) be the second derivative of g**5/15 + g**4/2 + 4*g**3/3 + 9*g**2/2 - 2*g. Let n(z) be the first derivative of k(z). Suppose n(u) = 0. What is u?
-2, -1
Let h be -2 + (48/72)/((-2)/(-6)). Factor 2/3*z**4 + 0 - 2/3*z**5 - 2/3*z**2 + h*z + 2/3*z**3.
-2*z**2*(z - 1)**2*(z + 1)/3
Let l(u) = 2*u**2 - u - 4. Let x be l(2). Let 0*b + 0*b**3 - 3/5*b**4 + 6/5*b**x - 3/5 = 0. Calculate b.
-1, 1
Let f be (-80)/44 + (-24)/132 - -5. Factor 0*j**f + 0*j + 0 + 1/4*j**4 - 1/4*j**2.
j**2*(j - 1)*(j + 1)/4
Let z(n) = 3*n - 15. Let y be z(6). Solve -u + 19*u**2 - y*u**3 - 23*u**2 + 7*u**3 + 1 = 0.
-1/2, 1/2, 1
Let s(y) = y**4 - y**3 + y - 1. Let b(x) = 15*x**5 + 25*x**4 + 50*x**3 + 10*x**2 - 15*x + 15. Let l(c) = -b(c) - 15*s(c). Let l(i) = 0. Calculate i.
-1, -2/3, 0
Let y(m) be the third derivative of -11*m**6/30 - 13*m**5/15 - m**4/3 + 31*m**2. Factor y(s).
-4*s*(s + 1)*(11*s + 2)
Let o(y) be the second derivative of y**5/20 - 9*y**4/4 + 14*y**3/3 - 26*y**2 + 6*y. Let w be o(26). Factor 2/3*t**2 + 14/9*t**4 - 8/3*t**3 + w + 4/9*t.
2*t*(t - 1)**2*(7*t + 2)/9
Let r(t) = 3*t**2 - 80*t. Let v(h) = 35*h**2 - 880*h. Let p(g) = 45*r(g) - 4*v(g). Solve p(u) = 0.
-16, 0
Determine p, given that 2/5*p**5 - 2*p + 4/5*p**2 - 8/5*p**4 + 8/5*p**3 + 4/5 = 0.
-1, 1, 2
Suppose 4*z - n = 13, -17 = 4*z - 2*n + 7*n. Factor -9 - 3*o**2 - 4*o**2 + 13*o**z + 5*o - 20*o.
3*(o - 3)*(2*o + 1)
Let q(k) = 6*k**4 - 24*k**3 - 38*k**2 - 22*k + 14. Let t(w) = 5*w**4 - 25*w**3 - 41*w**2 - 23*w + 12. Let u(x) = 6*q(x) - 7*t(x). Find r, given that u(r) = 0.
-29, -1, 0
Let f = -2030 - -2032. What is n in -1/2*n**f - 5/3*n + 4/3 = 0?
-4, 2/3
Let v(x) be the third derivative of -x**7/1260 - x**6/60 - 2*x**5/15 - 4*x**4/9 + 56*x**2 - 1. Factor v(m).
-m*(m + 4)**3/6
Let -3/2*u**2 + 0 - 12*u = 0. What is u?
-8, 0
Suppose 5*m + 5 = 30. Suppose -5*u**4 - u**4 - 125 + 2*u**m + 125 = 0. Calculate u.
0, 3
Let a(h) be the first derivative of h**5/90 - h**4/6 + h**3 - h**2 + 5. Let t(n) be the second derivative of a(n). Suppose t(y) = 0. Calculate y.
3
Let g be 24/16 - (-1)/2. Suppose 4*z - 10 = -2*o + g*z, 5*o - 4*z = 7. Solve 0*b**3 + b**o + b**3 - b**3 = 0.
0
Solve 3/5*g**2 - 54/5 - 9/5*g = 0 for g.
-3, 6
Let v = -38/61 + 1090/183. Determine f, given that 460/3*f**2 - 476/3*f**4 + 490/3*f**5 - 152/3*f - 338/3*f**3 + v = 0.
-1, 2/7, 2/5, 1
Let d be -15 + 2 - (-162)/12. Solve g**2 - 1/2*g - 1/2*g**4 - d*g**5 - 1/2 + g**3 = 0 for g.
-1, 1
Factor 1071*b + 3/7*b**3 + 7803/7 - 303/7*b**2.
3*(b - 51)**2*(b + 1)/7
Let z = 3160 - 3158. Factor 1/2*g**z + 0*g + 1/4*g**5 - 3/4*g**3 + 0 + 0*g**4.
g**2*(g - 1)**2*(g + 2)/4
Suppose 683651*d + 12 + 39 - 3*d**2 - 683699*d = 0. Calculate d.
-17, 1
Suppose -3*x - 4*i + 14 = 0, -5*x - 3*i = -i - 14. Factor -3*o**x - 15*o**4 - 2*o**2 + 20*o**4.
5*o**2*(o - 1)*(o + 1)
Factor -20/3 + 2*v + 2/3*v**2.
2*(v - 2)*(v + 5)/3
Suppose -x + 4 = 2*h, 7*h = 6*h + x + 5. Let j(k) be the third derivative of 0 + 0*k**h - 3*k**2 - 1/20*k**5 + 0*k - 1/8*k**4. Find u, given that j(u) = 0.
-1, 0
Let v = -3/1426 + 2879/12834. Find l such that 1/9*l**3 + 0*l**2 + v - 1/3*l = 0.
-2, 1
Let i(t) be the first derivative of t**5/20 - 11*t**4/16 + 19*t**3/6 - 13*t**2/2 + 6*t + 611. Suppose i(c) = 0. What is c?
1, 2, 6
Let q(n) be the third derivative of 0 + 1/40*n**5 + 1/8*n**3 + 1/320*n**6 - 16*n**2 + 0*n + 5/64*n**4. What is v in q(v) = 0?
-2, -1
Suppose -10*c + 6*c + 36 = 0. Let w be 4 + ((-1)/3)/(3/c). Factor 1/3 + 1/3*a - 1/3*a**2 - 1/3*a**w.
-(a - 1)*(a + 1)**2/3
Let u(h) be the third derivative of h**7/105 - h**6/20 - h**5/15 + h**4 - 8*h**3/3 + 33*h**2 + 2*h. Factor u(b).
2*(b - 2)**2*(b - 1)*(b + 2)
Let o be (-3206)/(-693) - 10/55. Solve -4/9*y**5 - 40/9*y**3 - 20/9*y**4 - o*y**2 - 4/9 - 20/9*y = 0.
-1
Let n(s) = s**2 + 110*s - 4. Let r(d) = 2*d**2 + 328*d - 11. Let g(c) = 11*n(c) - 4*r(c). Factor g(k).
3*k*(k - 34)
Let o(j) = j**4 + j**3 - j**2 - j. Let q(v) = 8*v**4 + 2*v**3 + v**2 - 11*v. Suppose -5*g = 15, -3*r + g = -2*g + 75. Let a(k) = r*o(k) + 4*q(k). Factor a(i).
4*i*(i - 2)**2*(i - 1)
Let i(j) = -j**2 - j. Let y(q) = -3*q**2 - 6*q. Let a(f) = 6*i(f) - 3*y(f). Let a(p) = 0. Calculate p.
-4, 0
Let d(i) be the third derivative of i**5/90 - i**4/18 - 5*i**3/3 + 511*i**2. Factor d(z).
2*(z - 5)*(z + 3)/3
Let r(m) = -m**3 - 4*m**2 - 3*m + 4. Let y = -52 + 50. Let n be r(y). Find d such that 1/6*d**n + 1/3*d + 1/6 = 0.
-1
Suppose 3*l - 8 = -l. Let w(h) be the first derivative of 2/3*h**3 - l*h**2 - 6 + 2*h. Factor w(t).
2*(t - 1)**2
Let v(g) be the first derivative of -4*g**5/5 + 5*g**4 - 28*g**3/3 + 6*g**2 - 76. Determine x, given that v(x) = 0.
0, 1, 3
Let s be (6 - 222/30)/(-7). Let h(t) be the first derivative of 0*t + t**4 - 7 + t**2 - s*t**5 - 5/3*t**3. Factor h(q).
-q*(q - 2)*(q - 1)**2
Let j(z) be the second derivative of z**5/110 + z**4/66 - 5*z**3/33 + 3*z**2/11 - 4*z - 9. Solve j(x) = 0 for x.
-3, 1
Let c be 375/100*96/140. Factor -22/7*v + c*v**2 + 4/7.
2*(v - 1)*(9*v - 2)/7
Let w(l) = -4*l + 5. Let i(a) be the third derivative of a**5/60 - 7*a**2. Let b(o) = 3*i(o) - 3*w(o). Factor b(f).
3*(f - 1)*(f + 5)
Let s be ((-36)/28 + 1)*-7. Let h = 4 - s. Determine i, given that -h + 2*i - 2*i**2 - 2*i - 4*i = 0.
-1
Let r(h) be the second derivative of h**4/102 + 196*h**3/51 + 9604*h**2/17 + 2*h - 144. Suppose r(s) = 0. What is s?
-98
Let q = 1785 - 1781. Solve 12/7*y**q - 8/7*y**2 + 0 - 8/7*y - 18/7*y