123 - 6/205. Let q(g) be the first derivative of v*g**3 - 1/5*g**2 - 1 + 1/10*g**4 - 2/5*g. Solve q(k) = 0 for k.
-1, 1
Let h = -9 - -21. Let m = 7 - h. Let s(c) = 11*c**4 - 5*c**3 - 8. Let a(b) = -7*b**4 + 3*b**3 + 5. Let p(g) = m*s(g) - 8*a(g). Factor p(w).
w**3*(w + 1)
Factor 0*b**2 + 0*b**4 - 8/5*b**3 + 4/5*b + 4/5*b**5 + 0.
4*b*(b - 1)**2*(b + 1)**2/5
Let x(w) = 5*w**5 + 5*w**4 - 8*w**3 - 3*w**2 + 3*w - 1. Let r(j) = j**5 - j**4 - j**2 - j + 1. Let z(a) = -r(a) - x(a). Solve z(u) = 0.
-1, 0, 1/3, 1
Factor t + 3/2*t**2 + 0 + 1/2*t**3.
t*(t + 1)*(t + 2)/2
Factor -8/3*p**2 + 4/3*p - 1/3*p**4 + 0 + 5/3*p**3.
-p*(p - 2)**2*(p - 1)/3
Let u(z) be the first derivative of z**7/63 - 4*z**6/45 + z**5/5 - 2*z**4/9 + z**3/9 + 6*z + 4. Let h(q) be the first derivative of u(q). Solve h(t) = 0.
0, 1
Suppose 2*d = 4*d - 2*c + 4, -2*d + 3*c - 8 = 0. Let v(g) be the first derivative of -3 - 1/4*g**4 + 0*g**3 + 3/2*g**2 + d*g. Factor v(f).
-(f - 2)*(f + 1)**2
Let p(m) = -4*m**4 - 4*m**3 + m**2 + 4*m + 3. Let i(n) = -7*n**4 - 7*n**3 + 2*n**2 + 7*n + 5. Let g(q) = -3*i(q) + 5*p(q). Factor g(k).
k*(k - 1)*(k + 1)**2
Suppose 3*v = 4 + 2. Factor 2*a**v + 0 - 4/5*a.
2*a*(5*a - 2)/5
Find s, given that 8/5*s**2 - 4/5*s**4 + 0*s + 0 + 4/5*s**3 = 0.
-1, 0, 2
Factor -2/5*y**5 + 14/5*y**2 + 2*y**4 - 18/5*y**3 + 0 - 4/5*y.
-2*y*(y - 2)*(y - 1)**3/5
Let m(r) be the first derivative of -r**3/15 - r**2/10 + 2*r/5 - 10. Factor m(g).
-(g - 1)*(g + 2)/5
Let p = -7 + 10. Suppose 22*l + p = 23*l. Let 1/5*a + 0*a**2 + 0 - 1/5*a**l = 0. Calculate a.
-1, 0, 1
Let t(b) = b**3 - 12*b**2 + 4. Let p be t(12). Factor -3*w**p + 4*w**2 - w + 7*w**4 - 7*w**3 + w**3 - w**5.
-w*(w - 1)**4
Suppose -5*r = 2 + 3. Let k(u) = u + 1. Let v be k(r). Factor -1/4*l**2 + 3/4*l**3 - 1/2*l**4 + v*l + 0.
-l**2*(l - 1)*(2*l - 1)/4
Let z(u) = -u**2 + 5*u + 3. Let i(c) = c**2 - c - 1. Let j(x) = 3*i(x) + z(x). Let j(m) = 0. Calculate m.
-1, 0
Let p be -29 - (-1)/(-2)*6. Let x be 6*4/p*-4. What is u in 2/5*u**4 - 2/5*u**2 + 0 - 2/5*u + 2/5*u**x = 0?
-1, 0, 1
Let l = 15 + 11. Factor 22 + l*r - 8 + 2 + 6*r + 12*r**2.
4*(r + 2)*(3*r + 2)
Let r(o) be the third derivative of o**6/300 - o**4/60 + 6*o**2. Factor r(n).
2*n*(n - 1)*(n + 1)/5
Let v(o) be the first derivative of -o**5/240 + o**4/96 - 3*o**2/2 + 5. Let j(k) be the second derivative of v(k). Factor j(n).
-n*(n - 1)/4
Let y(v) be the third derivative of -v**6/20 - v**5/3 - v**4/3 - v**3/6 - 2*v**2. Let c(o) be the first derivative of y(o). Factor c(t).
-2*(t + 2)*(9*t + 2)
Let n(h) be the third derivative of 1/96*h**4 + 0*h**3 + 0*h**6 + 1/120*h**5 - 2*h**2 + 0*h - 1/1344*h**8 - 1/420*h**7 + 0. Factor n(q).
-q*(q - 1)*(q + 1)**3/4
Suppose -4*r - h + 1 = -4, -4*r + h + 11 = 0. Solve -2/3*m**4 + 2/3*m**r - 2/3*m + 2/3*m**3 + 0 = 0.
-1, 0, 1
Let t(m) = 71*m**3 - 35*m**2 - 30*m - 23. Let k(b) = 24*b**3 - 12*b**2 - 10*b - 8. Let d(u) = 17*k(u) - 6*t(u). Factor d(v).
-2*(v - 1)*(3*v + 1)**2
Let q = 1 - 3. Let b = q + 5. Find a, given that 10*a - 178*a**b + 8 + 144*a**4 - 32*a**5 + 38*a + 0*a + 10*a**2 = 0.
-1/4, 1, 2
Let i = -78 + 81. Let a(v) be the third derivative of 0*v**3 + i*v**2 - 1/105*v**7 + 0*v**4 + 0 - 1/80*v**6 + 0*v + 1/120*v**5. Solve a(x) = 0.
-1, 0, 1/4
Suppose 7 - 9*d**5 + 13 - 26 - 12*d**4 - 3*d + 18*d**2 + 12*d**3 = 0. Calculate d.
-1, 2/3, 1
Let q(w) be the first derivative of 2*w**6/3 - 23*w**5/5 + 15*w**4/2 + 3*w**3 - 3. Factor q(z).
z**2*(z - 3)**2*(4*z + 1)
Factor -2/7*n + 1/7*n**2 + 1/7.
(n - 1)**2/7
Let u be -2*-1*(-4)/36. Let o = u - -28/45. Factor 2/5*w + o*w**2 + 0.
2*w*(w + 1)/5
Let n(f) = 2*f - 12. Let r be n(-9). Let x be 250/84 - 5/r. Suppose 0*w - 4/7*w**2 + 0 + x*w**3 = 0. Calculate w.
0, 2/11
Let w(b) be the first derivative of -b**4/6 + b**3/3 - b - 3. Let m(o) be the first derivative of w(o). Solve m(i) = 0 for i.
0, 1
Let i be 9/6*((-258)/45 + 6). Let d = -3 + 5. Solve i*j**4 - 2/5*j**d - 2/5*j**5 + 0*j + 2/5*j**3 + 0 = 0 for j.
-1, 0, 1
Suppose -5*k = -4*u - 17, 4*u - u - k = 1. Suppose 0 + 0*w - 1/5*w**5 + 1/5*w**3 + 0*w**4 + 0*w**u = 0. What is w?
-1, 0, 1
Let d(i) = 6*i**2 + 3 + 5 + 4*i - 2*i**2 - 21*i. Let k(h) = 6*h**2 - 25*h + 12. Let n(j) = 7*d(j) - 5*k(j). Suppose n(z) = 0. Calculate z.
1, 2
Determine a so that -3 + 1/3*a**5 + 10*a**3 + 11*a - 3*a**4 - 46/3*a**2 = 0.
1, 3
Let c = -30 - -18. Let y be c/16*-4*1. Solve -4/7*k**y - 2/7*k**2 + 2/7*k + 0 = 0.
-1, 0, 1/2
Let b(n) be the second derivative of 2/21*n**3 + 0 - 1/42*n**4 - 1/7*n**2 + 7*n. Factor b(s).
-2*(s - 1)**2/7
Determine h so that -13/3*h**4 - 4/3*h**5 - 7/2*h**3 + 0 - 1/6*h**2 + 1/3*h = 0.
-2, -1, -1/2, 0, 1/4
Let f = 8 - 5. Let y be 2 - 2 - (-9)/f. Solve 5 - 5 + s**y = 0 for s.
0
Let b be ((-1)/2)/(2/(-16)). Suppose -4*w + 4 = -b. Factor 2*a**4 - 3*a**4 + w*a**4 - a**2.
a**2*(a - 1)*(a + 1)
Suppose -5*j - 10 + 70 = 4*l, -3*l + 5*j + 10 = 0. Suppose -2*c = 3*z + 6, -5*c = -2*z + 7*z + l. Factor c*a + a - 2*a**5 + 4*a**4 + a - 4*a**2.
-2*a*(a - 1)**3*(a + 1)
Let s(t) = 44*t**4 - 176*t**3 - 296*t**2 + 144*t + 188. Let l(n) = 4*n**4 - 16*n**3 - 27*n**2 + 13*n + 17. Let b(r) = 32*l(r) - 3*s(r). Factor b(p).
-4*(p - 5)*(p - 1)*(p + 1)**2
Let v(b) be the second derivative of -b**5/150 - b**4/10 + 7*b + 3. Factor v(i).
-2*i**2*(i + 9)/15
Let m be (6/(-14))/((-28)/98). Determine n so that 0*n + 0 + 3/2*n**2 - 3/2*n**3 - 3/2*n**4 + m*n**5 = 0.
-1, 0, 1
Suppose 28 = 3*r + 10. Let k(x) be the first derivative of 2*x**2 + r*x + 1 + 2/9*x**3. What is z in k(z) = 0?
-3
Let h(m) be the first derivative of -m**4/4 + 4*m**3/3 - m**2 - m - 3. Let q be h(2). Factor -2/3*w**2 + 1/3*w**q + 0 + 0*w.
w**2*(w - 2)/3
Let m be (-6)/(-54) + 2 + (-57)/27. Let v(q) be the first derivative of -3/5*q**5 + 0*q**3 + 4 - 3/4*q**4 + 0*q**2 + m*q. Factor v(z).
-3*z**3*(z + 1)
Let a(k) be the second derivative of -k**4/12 + 2*k**3/3 - 3*k**2/2 + 2*k. Factor a(f).
-(f - 3)*(f - 1)
Let h be 1 - (-2 + 4 - 3). Solve 1/4*f**h + 0 - 1/4*f = 0 for f.
0, 1
Suppose -p + 2 = -8. Suppose p = 4*k - 5*t - 7, 0 = -5*k + 3*t + 18. Find d, given that -2*d**k + 4*d**2 + 3*d**4 - 6*d**2 + 2*d - d**4 = 0.
-1, 0, 1
Let x(y) be the third derivative of -y**7/2520 - y**6/360 - y**5/120 - y**4/8 + y**2. Let h(r) be the second derivative of x(r). Factor h(c).
-(c + 1)**2
Let o(a) be the second derivative of -2/9*a**3 + 0*a**2 + 1/30*a**5 - 2*a + 0 - 1/18*a**4. Factor o(q).
2*q*(q - 2)*(q + 1)/3
Let d(w) be the second derivative of -w**5/35 - 2*w**4/21 + 2*w**3/21 + 4*w**2/7 + 6*w. Factor d(i).
-4*(i - 1)*(i + 1)*(i + 2)/7
Let p be 7/(-9) + 1 + 24/(-108). Factor p + 2/11*v**2 + 0*v - 8/11*v**4 + 6/11*v**3.
-2*v**2*(v - 1)*(4*v + 1)/11
Let v(a) = 2*a**3 + 4*a**2. Let h(g) = g**4 + 2*g**3 + 5*g**2 + g. Let l(c) = -2*h(c) + 3*v(c). Factor l(z).
-2*z*(z - 1)**2*(z + 1)
Let f be (-3)/((-3)/12 + 1). Let k be f/(-8) + (-7)/(-2). Factor 4*g**2 - 2 + k*g**4 - 2*g**4 - 4*g**4.
-2*(g - 1)**2*(g + 1)**2
Let n(k) be the second derivative of -k**7/147 + 2*k**6/105 + k**5/70 - k**4/21 - 2*k. Solve n(q) = 0.
-1, 0, 1, 2
Suppose 4*o = 3*j - 4*j + 20, 0 = -3*o + 2*j + 15. Suppose -3*u = -u - o*f - 15, 0 = -2*u + 3*f + 9. Factor 98/5*s**5 - 8*s**2 + u + 28*s**4 - 6/5*s**3 + 8/5*s.
2*s*(s + 1)**2*(7*s - 2)**2/5
Let f(y) be the second derivative of 5*y**4/12 + 5*y**3/3 + 5*y**2/2 - 35*y. Determine a so that f(a) = 0.
-1
Let h(g) be the second derivative of -g**10/6720 + g**9/2520 - g**8/3360 + g**4/2 + 6*g. Let u(a) be the third derivative of h(a). Factor u(z).
-z**3*(3*z - 2)**2/2
Let a = 679 + -677. Find o such that 0 + 2/9*o + 2/9*o**a = 0.
-1, 0
Let o(y) = -33*y**4 + 25*y**3 + 8*y**2 + 5*y + 5. Let g(a) = 17*a**4 - 13*a**3 - 4*a**2 - 3*a - 3. Let b(f) = -5*g(f) - 3*o(f). Factor b(k).
2*k**2*(k - 1)*(7*k + 2)
Let p(i) = -i + 3. Let j(m) = -2*m + 7. Let k(v) = 3*j(v) - 7*p(v). Let x(s) = s**3 + 3*s**2 + s + 1. Let q(b) = 4*k(b) + 2*x(b). Factor q(n).
2*(n + 1)**3
Factor 2/5*f - 1/5*f**2 + 4/5 - 1/10*f**3.
-(f - 2)*(f + 2)**2/10
Let j(q) be the first derivative of 18/5*q**5 + 0*q**3 - 7/3*q**6 + 0*q**2 + 2 + 0*q - q**4. Solve j(c) = 0 for c.
0, 2/7, 1
Let f(w) be the third derivative of w**5/240 + w**4/96 - w**3/12 - 5*w**2. Let f(n) = 0. What is n?
-2, 1
Let z(w) = -2*w + 11. Let v(d) = -d + 5. Let x(k) = -5*v(k) + 2*z(k). Let 