 28/5*o.
(o - 2)*(o + 2)**2*(4*o - 1)/5
Suppose -4*z - 20 = -3*z + 5*l, 2*z - 2*l - 8 = 0. Let o(v) be the first derivative of 1/4*v**4 - 2 + 0*v - 1/2*v**2 + z*v**3. Factor o(t).
t*(t - 1)*(t + 1)
Let r = -431 + 433. Let y(j) be the second derivative of 0 + 0*j**3 - 3*j + 0*j**r - 1/21*j**4 - 1/35*j**5. Find l such that y(l) = 0.
-1, 0
Suppose -3*m - 2*b + 10 = 2*m, -4*m = -b - 8. Let w(c) be the first derivative of -1/3*c**3 + 3/2*c**m - 2*c + 3. Factor w(p).
-(p - 2)*(p - 1)
Let x(p) = -p**3 - 6*p**2 - 9*p - 20. Let y = -200 + 195. Let n be x(y). Solve -1/2*i**4 + n + 0*i + 0*i**2 - 1/2*i**3 = 0 for i.
-1, 0
Suppose 5*z = -0*z + 25. Suppose 0 = -z*f + 10. Solve 59*w**2 + 5*w + 4*w**3 - 67*w**2 + 3*w - f*w**3 = 0.
0, 2
Suppose -4*h + 324 = 68. Let r be (-2*(-1)/8)/(8/h). Solve 0*w**r - 2/15*w**5 + 0 + 0*w + 0*w**3 + 2/15*w**4 = 0 for w.
0, 1
Let t(r) = r**2 - 5*r + 7. Let j be t(5). Suppose -5*x = -j - 8. Solve -6*o + 2*o**2 + o**2 + 6*o**3 + 0*o**2 - x*o**4 = 0.
-1, 0, 1, 2
Let m(c) be the third derivative of -c**7/840 - 9*c**6/160 - 5*c**5/48 + 9*c**4/32 + 13*c**3/12 - 156*c**2. What is k in m(k) = 0?
-26, -1, 1
Let v be 46/115 - 18/(-5). Let r(n) be the third derivative of 0*n**3 - 1/120*n**v + 1/300*n**5 + 0*n + 0 + 3*n**2. Suppose r(g) = 0. Calculate g.
0, 1
Let o = 0 - -2. Factor 9*v - 7*v + 7*v + 3*v**o.
3*v*(v + 3)
Let l = -1/1681 - -20183/18491. Find q, given that -8/11*q**4 - 6/11*q**5 - 4/11*q**2 + 32/11*q**3 + l - 26/11*q = 0.
-3, -1, 2/3, 1
Let h(z) be the third derivative of z**9/16632 - z**8/9240 + 5*z**3 + 5*z**2. Let o(x) be the first derivative of h(x). Determine c so that o(c) = 0.
0, 1
Suppose -17*n + 11*n + 96 = 0. Factor -9*t - 5*t**2 + 4 + 26 - n*t.
-5*(t - 1)*(t + 6)
Factor 3/4*d**5 + 27/4*d**3 + 3/2*d + 0 - 21/4*d**2 - 15/4*d**4.
3*d*(d - 2)*(d - 1)**3/4
Let d be (0/(-2) - 588)/((-36)/384). Factor 256/5*z + d*z**4 + 6860*z**5 - 11072/5*z**2 - 7952/5*z**3 + 1024/5.
4*(5*z - 2)**2*(7*z + 4)**3/5
Let d(l) be the second derivative of -6*l**2 - 6*l**3 + 0 - 5/4*l**4 + 16*l. Factor d(q).
-3*(q + 2)*(5*q + 2)
Determine o, given that 8/5*o**2 - 258*o + 322/5 = 0.
1/4, 161
Let n(x) = 2*x - 10. Let h be n(6). Suppose z**3 - 738 + 738 - 3*z - 3*z**h + 5*z = 0. Calculate z.
0, 1, 2
Suppose 3*q + 32 = 4*h, 0 = 3*h - 117*q + 113*q - 38. Factor 2/5*i**h - 8/5*i + 0.
2*i*(i - 4)/5
Let r(c) be the second derivative of c**4/126 + 4*c**3/21 - 13*c**2/21 + 5*c + 15. Factor r(k).
2*(k - 1)*(k + 13)/21
Factor -16/5 - 8/5*b**3 - 6/5*b**2 + 28/5*b + 2/5*b**4.
2*(b - 4)*(b - 1)**2*(b + 2)/5
Let d be 2/(-3 - ((-10620)/2132 - -2)). Let q = 107 + d. What is p in 0 + 2/5*p - q*p**5 - 4/5*p**4 + 0*p**3 + 4/5*p**2 = 0?
-1, 0, 1
Let n be 22/1056*8 + 0/(-1). Determine o so that 1/6*o + 1/3*o**2 + 0*o**3 - n*o**5 + 0 - 1/3*o**4 = 0.
-1, 0, 1
Let i(r) = -r**2 - r. Let f = 36 + -37. Let m(d) = -2*d**2 + 19*d. Let g(l) = f*m(l) + 5*i(l). Factor g(k).
-3*k*(k + 8)
Let b(k) = 8 + 1 + k + 1 + 2. Let w be b(-10). Determine i, given that i - 6*i**2 - 3*i + i**w = 0.
-2/5, 0
Let t(v) = -2*v**3 + v**2 + 2*v + 1. Let p be t(-1). Let z(j) = j**2 + 8*j + 12. Let m be z(-8). Solve -m*l**2 - 20*l + l**2 - 6*l**p + l**2 - 4 = 0 for l.
-1, -1/4
Let j(y) be the third derivative of 2/9*y**3 - 1/315*y**7 + 0*y + 5/36*y**4 + 1/30*y**5 - 1/180*y**6 - 10*y**2 + 0. Factor j(m).
-2*(m - 2)*(m + 1)**3/3
Let s(p) = -10*p**3 + 695*p**2 + 1880*p + 1225. Let o(g) = g**3 - 87*g**2 - 235*g - 153. Let f(y) = -25*o(y) - 3*s(y). Determine j, given that f(j) = 0.
-15, -2, -1
Suppose -5*w + 6 = 3*u, -2*w - 4 = -2*u - 0*w. Determine g so that 5*g**4 + 5*g + 4*g**2 - 2*g**u - 17*g**2 + 4 - 5*g**3 + 6 = 0.
-1, 1, 2
Let b = 177760/7 + -25394. Solve -2/21*r**3 + 8/21*r + 0 - b*r**2 = 0 for r.
-4, 0, 1
Let u(y) be the third derivative of -23*y**2 + 1/252*y**7 + 0*y**3 - 1/120*y**5 + 0*y**4 - 1/360*y**6 + 0 + 0*y. Factor u(s).
s**2*(s - 1)*(5*s + 3)/6
Let j(v) be the third derivative of -3/8*v**4 - 13/480*v**6 + 1/84*v**7 + 0*v - 1/1344*v**8 + 0 + 56*v**2 - 1/4*v**5 + 0*v**3. Determine g so that j(g) = 0.
-1, 0, 6
Let q = -60 + 65. Let j(n) be the second derivative of 2/45*n**6 + 4*n + 0*n**2 + 0*n**3 + 1/10*n**q + 0 + 1/18*n**4. Solve j(k) = 0.
-1, -1/2, 0
Let a(h) = 5*h + 88. Let k be a(-17). Let x(c) be the first derivative of -3/5*c**2 - 2/15*c**k + 4 - 4/5*c. Factor x(l).
-2*(l + 1)*(l + 2)/5
Suppose 3*s - 47 = -2. Let d be -1*(-5)/(s/9). Factor -2*x**4 - 4*x**3 + d*x**4 - 2 + 4*x + x**4.
2*(x - 1)**3*(x + 1)
Let o(l) be the second derivative of -l**6/10 + 24*l**5/5 - 196*l. Solve o(m) = 0.
0, 32
Let f(m) = -m**3 - 3*m**2 - 3. Let r be f(-4). Suppose 18*b - 10 = r*b. Factor 3 + 0*g**2 - 4 - g**2 + b*g.
-(g - 1)**2
Let s = -4413/4 + 1104. Let z(p) be the first derivative of -1/2*p + 8 - 1/8*p**4 - 1/2*p**3 - s*p**2. Solve z(j) = 0.
-1
Let -17/6*z + 1/6*z**2 + 8/3 = 0. Calculate z.
1, 16
Suppose -18 + 5*w**2 - 4*w**2 - 19*w + 4*w**2 - 6*w**2 = 0. Calculate w.
-18, -1
Let r(l) be the first derivative of -2*l**5/55 + 68*l**3/33 - 96*l**2/11 + 126*l/11 + 200. Let r(g) = 0. What is g?
-7, 1, 3
Suppose -5*d + 88 = 828. Let r = d + 151. Solve 18/11*k**2 - 10/11*k + 10/11*k**r - 4/11 - 14/11*k**4 = 0 for k.
-1, -2/7, 1
Let v be ((-1)/((-6)/(-20)))/(0 - 1). Let x(b) be the first derivative of 2 - 1/2*b**4 + v*b**3 + 8*b - 8*b**2. Solve x(w) = 0 for w.
1, 2
Factor -714*t + 357*t - 4*t**3 - 16 + 12*t**2 + 357*t.
-4*(t - 2)**2*(t + 1)
Let n(i) = i - 13. Let j be n(1). Let g be 50/75*(-5)/(50/j). Factor -26/15*h**2 + 8/5*h**3 - 2/15 - 8/15*h**4 + g*h.
-2*(h - 1)**2*(2*h - 1)**2/15
Let d(o) be the third derivative of -o**7/560 + 11*o**6/320 - 43*o**5/160 + 69*o**4/64 - 9*o**3/4 + 10*o**2 - 3*o. Let d(p) = 0. Calculate p.
1, 3, 4
Let 20*s**4 - 6*s**2 + 16*s - 7*s**2 - 23*s**3 - 11*s**4 + 4 + 7*s**3 = 0. Calculate s.
-1, -2/9, 1, 2
Let z = -2107 - -2109. Solve 0*i**3 + 0 - 2/13*i**5 + 0*i**z + 0*i - 4/13*i**4 = 0.
-2, 0
Let x(d) be the first derivative of -3*d**5/5 + 3*d**4/2 - d**3 - 65. Factor x(p).
-3*p**2*(p - 1)**2
Let h(j) be the third derivative of -j**8/30240 + j**7/1512 - j**6/270 - j**5/12 + 29*j**2. Let x(f) be the third derivative of h(f). Factor x(b).
-2*(b - 4)*(b - 1)/3
Let d(n) be the second derivative of 1/5*n**2 + 9*n + 0*n**3 + 0 - 1/30*n**4. Factor d(o).
-2*(o - 1)*(o + 1)/5
Let t(d) be the third derivative of -d**5/15 - 5*d**4/3 - 16*d**3 + 62*d**2 - 2. Factor t(j).
-4*(j + 4)*(j + 6)
Let h be (-5 - -4)*4/(-2). Let f be (2 - h*(1 + 0))/3. Find s such that 3/2*s**2 + 0 + f*s - 3/4*s**3 = 0.
0, 2
Suppose 20*m - 5*m = -7*m + 528. Suppose -8*v + m + 2/3*v**2 = 0. Calculate v.
6
Let o(u) be the second derivative of -u**4/3 - 44*u**3 - 2178*u**2 - 3*u. Let o(a) = 0. Calculate a.
-33
Let w(i) be the second derivative of i**4/4 - 4*i**3 + 45*i**2/2 + 211*i. Determine s so that w(s) = 0.
3, 5
Let p(d) be the first derivative of 8/21*d**3 - 2 + 1/7*d**2 + 4/35*d**5 + 0*d + 5/14*d**4. Let p(k) = 0. Calculate k.
-1, -1/2, 0
Let a(y) be the second derivative of -y**5/4 - 245*y**4/12 + 505*y**3/6 - 255*y**2/2 - 8*y + 19. Find o such that a(o) = 0.
-51, 1
Let p(u) be the third derivative of 0 + 1/120*u**5 + 0*u**3 - 1/16*u**4 + 0*u + 45*u**2. Solve p(t) = 0.
0, 3
Let q(c) be the third derivative of c**5/300 - 7*c**4/40 + 19*c**3/15 - 335*c**2. What is t in q(t) = 0?
2, 19
Let t(g) be the second derivative of -1/9*g**2 + 2*g + 2/27*g**3 - 1/54*g**4 - 2. Factor t(i).
-2*(i - 1)**2/9
Suppose 102*v - 103*v + 3 = 0. Let n(a) be the first derivative of 0*a - 1/3*a**v + 1 - 1/2*a**2. Factor n(t).
-t*(t + 1)
Let y = 51/2 - 25. Factor -1/2*g**3 + 0*g + 0 - y*g**2.
-g**2*(g + 1)/2
Find r, given that 7*r + 86*r**3 + 14*r**4 - r + 26*r**2 + 2*r**5 + 0*r + 2*r - 56*r**3 = 0.
-4, -1, 0
Factor 49*i - 61*i - 12*i**2 + 10*i**2.
-2*i*(i + 6)
Let y(d) = 2*d**4 + 31*d**3 + 83*d**2 + 119*d + 54. Let q(h) = h**3 + h**2 + h. Let m(b) = -22*q(b) + 2*y(b). Suppose m(w) = 0. What is w?
-3, -1
Suppose 7*d + 102 = 137. Let g(z) be the first derivative of 14/5*z**d + 16*z**2 + 1/3*z**6 + 19/2*z**4 + 50/3*z**3 + 8*z - 8. Determine t, given that g(t) = 0.
-2, -1
Suppose 0*w - 2 = -2*w. Let u be w*(-2 + 4/2 - -3). Factor 2/3 + 0*i**2 + 1/3*i**u - i.
(i - 1)**2*(i + 2)/3
Let c(r) be the second derivative of -1/42*r**7 + 0*r**6