*x - 8 = 0. Solve 1/4*s**p + 1/4 - s**3 + 3/2*s**2 - s = 0 for s.
1
Let r(s) be the second derivative of -1/15*s**6 + 1/2*s**4 + 5/3*s**3 - 49*s + 2*s**2 - 1/10*s**5 + 0. Factor r(z).
-2*(z - 2)*(z + 1)**3
Let w = 35603/10 - 3560. Determine p so that 1/10*p**2 + w*p + 0 = 0.
-3, 0
Let q(s) be the first derivative of s**8/840 - s**7/70 + s**6/15 - s**5/6 + s**4/4 + 11*s**3/3 + 9. Let l(k) be the third derivative of q(k). Factor l(o).
2*(o - 3)*(o - 1)**3
Let y be (-174)/(-52) - (-12)/78 - 48/32. Factor 0*n - 15/4*n**3 - 25/4*n**4 + 0 + 5/2*n**y.
-5*n**2*(n + 1)*(5*n - 2)/4
Let u = 184 - 181. Let j(t) be the first derivative of 1/10*t**2 - 2/15*t**3 - 1/20*t**4 + 2/25*t**5 + 0*t - u. Factor j(q).
q*(q - 1)*(q + 1)*(2*q - 1)/5
Suppose 7 + 42 = o - 2*g, -5*o + 260 = 5*g. Let b be o/(-12) + 3 - 6/(-3). Solve 1/4*a**2 + a + b = 0 for a.
-3, -1
Let x = -15 + 18. Let r be x - (-2)/(-8)*4. Let -8*p + 0*p + 2*p**r + 2*p**2 = 0. Calculate p.
0, 2
Find x, given that -52906 - x**2 + 52906 - 8*x = 0.
-8, 0
Let n be (-116)/(-87) + 1 - (-4)/6. Factor -4*l - 5/2*l**2 - 2 - 1/2*l**n.
-(l + 1)*(l + 2)**2/2
Let u(y) = -3*y**3 + 12*y**2 - 9*y - 27. Let q(x) = 23*x**2 + 19*x - 54 - 2*x**3 - 4*x**3 - 37*x. Let d(f) = -3*q(f) + 7*u(f). Factor d(h).
-3*(h - 3)**2*(h + 1)
What is b in 192*b - 3*b**5 + 254*b + 96*b**3 + 178*b + 408*b**2 - b**4 + 336 - 2*b**4 = 0?
-2, 7
Suppose 0*h - 34/3*h**3 - 4*h**2 + 0 - 10/3*h**4 = 0. Calculate h.
-3, -2/5, 0
Let v(n) be the third derivative of n**5/12 - 5*n**4/3 + 4*n**2 + 14*n. Suppose v(h) = 0. Calculate h.
0, 8
Let s(t) be the first derivative of t**8/336 - t**7/210 - t**6/40 + t**5/60 + t**4/12 - 13*t**2/2 - 15. Let r(i) be the second derivative of s(i). Factor r(c).
c*(c - 2)*(c - 1)*(c + 1)**2
Let d(o) be the second derivative of -2*o**7/21 + 33*o**6/5 - 692*o**5/5 + 3883*o**4/6 - 644*o**3 - 2116*o**2 + 254*o + 2. Let d(i) = 0. What is i?
-1/2, 2, 23
Let d = -2 + 1. Let f(v) = -2*v**5 + 16*v**4 - 14*v**3 + 26*v**2 - 10*v - 4. Let w(m) = m**4 + m**3 + m**2 - 1. Let i(a) = d*f(a) + 6*w(a). Factor i(k).
2*(k - 1)**5
Let z be -1 - (-2 - -6) - -8. Factor -6*f**z - f**3 - 2*f**4 + 0*f**3 + f + 6*f**3 + 2*f**2.
-f*(f - 1)*(f + 1)*(2*f + 1)
Let d(t) be the third derivative of -14*t**2 + 0*t**7 + 1/504*t**8 + 0 + 1/36*t**4 - 1/90*t**6 + 0*t**3 + 0*t**5 + 0*t. Factor d(k).
2*k*(k - 1)**2*(k + 1)**2/3
Factor 2/7*f**2 + 0 + 12*f.
2*f*(f + 42)/7
Let a = 3457 - 6911/2. Factor 3/4*d + 3/2 - 3/4*d**3 - a*d**2.
-3*(d - 1)*(d + 1)*(d + 2)/4
Let s be (-219)/(-1080) + 12/(-60). Let y(n) be the third derivative of -1/9*n**3 + 0*n + 0 + s*n**6 + 7*n**2 + 5/72*n**4 - 1/45*n**5. Factor y(r).
(r - 2)*(r - 1)**2/3
Let r be 36/8 + -5 - 5/2. Let g = r + 5. Determine o, given that -4/7 + 4/7*o**g - 8/7*o**3 + 2/7*o**5 + 0*o**4 + 6/7*o = 0.
-2, -1, 1
Let x = 517/6 - 137/3. Let s(q) be the second derivative of -x*q**2 + 1029/20*q**5 - 5*q + 0 + 189/2*q**3 - 441/4*q**4. Factor s(z).
3*(7*z - 3)**3
Suppose s - 29 = -23. Let d(p) be the second derivative of 3/4*p**4 + 1/10*p**6 + s*p + 0 - 1/2*p**3 - 9/20*p**5 + 0*p**2. Suppose d(q) = 0. What is q?
0, 1
Suppose 3*z - 30 = 5*u - 3*u, 0 = -z - 4*u + 24. Suppose z*b = 7*b + 20. Factor -12*k**2 + 16*k**3 - 4*k**b + 4*k**2 - 8*k**2.
-4*k**2*(k - 2)**2
Let t(a) be the first derivative of -a**7/840 - a**6/360 + a**5/120 + a**4/24 - 13*a**3/3 + 25. Let d(v) be the third derivative of t(v). Solve d(p) = 0.
-1, 1
Suppose 4*t - 4*n - 3 = 9, t + n = -3. Let x(p) be the first derivative of -p**2 - 6 + t*p + 2/3*p**3. Factor x(o).
2*o*(o - 1)
Let h(g) = 13*g**2 - g + 10. Let k(q) be the second derivative of q**4/12 + q**2/2 - 7*q. Let b(y) = -4*h(y) + 44*k(y). Factor b(u).
-4*(u - 1)*(2*u + 1)
Suppose 24*d + 38 = 43*d. Solve 1 + 5/2*q + 1/2*q**3 + 2*q**d = 0.
-2, -1
Let v(p) be the first derivative of p**6/2 + 3*p**5/5 - 15*p**4/4 - 5*p**3 + 6*p**2 + 12*p + 69. What is u in v(u) = 0?
-2, -1, 1, 2
Let 0*x**2 - 72*x + 114 - 3*x**2 + 0*x**2 - 246 = 0. Calculate x.
-22, -2
Let p(f) be the third derivative of 0*f + 23*f**2 + 1/480*f**5 + 3/4*f**3 + 0 - 1/16*f**4. Factor p(k).
(k - 6)**2/8
Let s(x) = -4*x - 17 + 6 + 8*x - 4*x**2 + 7. Let p(j) = -j**3 - 11*j**2 + 11*j - 13. Let o(h) = 2*p(h) - 7*s(h). Solve o(d) = 0 for d.
1
Suppose -2*k = -5*l + 6*l + 31, l + 3 = 0. Let a be 3/k*(15/18 + -2). Factor 0 - 1/4*n**3 + 1/4*n**2 + 0*n + a*n**5 - 1/4*n**4.
n**2*(n - 1)**2*(n + 1)/4
Let a(n) be the second derivative of 2*n**7/63 + 4*n**6/15 + 3*n**5/5 + 176*n + 2. Let a(s) = 0. Calculate s.
-3, 0
Let y(l) = l**5 - 13*l**4 - 8*l**3 - 3*l - 3. Let o(n) = 12*n**4 + 8*n**3 + 2*n + 2. Let p(k) = 3*o(k) + 2*y(k). Factor p(t).
2*t**3*(t + 1)*(t + 4)
Suppose 48/5 - 19/5*f + 1/5*f**2 = 0. Calculate f.
3, 16
Let n(p) = -p + 11*p**3 - 19*p**3 + 2 - p**2 + 7*p**3 - 1. Let j(i) = 5*i**3 + 21*i**2 + 18*i + 6. Let d(u) = 5*j(u) - 10*n(u). Factor d(z).
5*(z + 1)*(z + 2)*(7*z + 2)
Let c = 174 + -190. Let k be (52/(-208))/((-9)/c + -1). Factor -4/7*v**3 - 2/7*v**4 + k*v + 2/7 + 0*v**2.
-2*(v - 1)*(v + 1)**3/7
What is f in 552/7*f**2 + 1557376/7 - 50784/7*f - 2/7*f**3 = 0?
92
Let k(j) = 15*j - 4*j - 12 + j. Let g(t) = -t**2 - 12*t + 13. Let r(x) = -3*g(x) - 4*k(x). Determine a, given that r(a) = 0.
1, 3
Let g(m) be the first derivative of m**6/3 - 4*m**5/5 - 3*m**4/2 + 16*m**3/3 - 4*m**2 + 23. Factor g(q).
2*q*(q - 2)*(q - 1)**2*(q + 2)
Let t(o) be the third derivative of -o**7/3780 - o**6/810 + o**5/135 + 2*o**4/27 - 13*o**3/6 + 13*o**2. Let m(a) be the first derivative of t(a). Factor m(h).
-2*(h - 2)*(h + 2)**2/9
Let g be (10 - (-3995)/(-442))*(-12)/(-15). Determine i, given that 38/13*i**2 - 6/13*i**4 + 34/13*i**3 + 0*i - g*i**5 - 8/13 = 0.
-1, 2/5, 2
Let c(a) = -a**3 - 12*a**2 - 3*a - 5. Let n be c(-12). Factor 177*f**2 - 196*f**4 + 280*f**3 + n*f**2 - f + 33*f.
-4*f*(f - 2)*(7*f + 2)**2
Let t(n) = -9*n - 53. Let m be t(-5). Let u be ((-14)/(-6) - 3)*6/m. Solve -u*b**2 + 0 + 0*b = 0 for b.
0
Let j(y) be the second derivative of -y**6/15 + y**4/3 - y**2 - 18*y + 1. Factor j(n).
-2*(n - 1)**2*(n + 1)**2
Let v(r) be the second derivative of -r**5/70 - r**4/21 + r**3/7 + 41*r. Solve v(z) = 0 for z.
-3, 0, 1
Let s(p) = 10 - p**3 - p**2 + p - 2 - 4 - 5. Let l(j) = -11*j**3 - 26*j**2 - 14*j - 6. Let n(t) = l(t) - 6*s(t). Factor n(k).
-5*k*(k + 2)**2
Let i be ((-12 + -1)/13)/(-2*2/8). Solve 1/2*o - 1/2*o**3 + 3/2 - 3/2*o**i = 0.
-3, -1, 1
Let s(b) be the first derivative of -98*b**4 - 742*b**3/3 - 232*b**2 - 96*b + 139. Find v, given that s(v) = 0.
-3/4, -4/7
Let t(a) be the third derivative of -a**5/300 - 11*a**4/120 - a**3/3 + 136*a**2. Factor t(u).
-(u + 1)*(u + 10)/5
Suppose -29 + 1/3*t**2 - 86/3*t = 0. What is t?
-1, 87
Let k(l) be the third derivative of -2/5*l**3 + 5*l**2 - 1/100*l**5 - 1/10*l**4 + 0*l + 0. Solve k(j) = 0 for j.
-2
Let z(c) be the second derivative of -c**7/168 - 7*c**6/60 - 53*c**5/80 + c**4/6 + 17*c**3/2 - 18*c**2 - 74*c - 3. Solve z(u) = 0.
-6, -4, 1
Let j(q) = q**2 - 6*q. Let p(n) = 2*n - 13. Let z be p(10). Let b be j(z). Factor -9*h**2 + b*h**2 - 2*h**2 + 5*h**2.
h**2
Factor -3*y + 8617*y**3 + 0*y - 8618*y**3 + 5*y**2 - y**4.
-y*(y - 1)**2*(y + 3)
Let v(m) be the second derivative of m**5/20 + m**4/6 - m**3/2 - 368*m. Suppose v(y) = 0. What is y?
-3, 0, 1
Factor y**2 - 3*y**3 - 3817 + 7629 - y**5 + 3*y**4 - 3812.
-y**2*(y - 1)**3
Let v(x) = -x**2 + 11*x - 15. Let l be v(7). Factor -4 + l*i**2 + 0*i**2 + 10*i + i**2 + 0*i**2.
2*(i + 1)*(7*i - 2)
Suppose 4*i = l - 28, -12 = -4*l - 2*i - 2*i. Let n be (1/2)/(2/l). Determine x, given that -3*x + x**2 - 2*x**2 + n*x**2 - 4*x**2 = 0.
-1, 0
Let w(j) be the first derivative of j**6/120 + 3*j**5/10 + 9*j**4/2 - 20*j**3/3 + 13. Let i(r) be the third derivative of w(r). Find l, given that i(l) = 0.
-6
Suppose -173*z**3 + 188*z**3 - 10*z**2 + 5*z**4 - 51*z - 9*z - 40 = 0. Calculate z.
-2, -1, 2
Let 4/7*n**3 + 2/7*n**4 + 2/7*n**2 + 0 + 0*n = 0. Calculate n.
-1, 0
Let o(m) = -13*m**3 - 21*m**2 + 24*m + 5. Let h be 9/4 + 2/(-8). Let c(d) = 6*d**3 + 10*d**2 - 12*d - 2. Let z(l) = h*o(l) + 5*c(l). Factor z(w).
4*w*(w - 1)*(w + 3)
Let q(j) be the second derivative of 1/4*j**4 + 0 + 1/20*j**5 + 4*j + 5/2*j**2 - 3/2*j**3. Solve q(x) = 0.
-5, 1
Suppose 13*q = 62*q. Factor 10/3*g**4 + 0*g - 5/3*