s*h**4 + 0 - 224/5*h**5 + 14/5*h**n + 0*h = 0.
-1/4, 0, 1/4, 2/7
Let o = -4704/13 + 362. Determine u, given that 2/13*u + o*u**2 + 0 = 0.
-1, 0
Suppose 30*v**3 + 72/5 + 66*v**2 - 336/5*v = 0. What is v?
-3, 2/5
Let a(g) = g**3 - 4*g**2 + 2*g - 1. Let x be a(3). Let u be (-3)/x*(-1)/(-3). Factor 0*r + 1/4 - u*r**2.
-(r - 1)*(r + 1)/4
Let p(x) = -x**2 + 8*x - 2. Let m be p(7). Let b(a) be the second derivative of 0*a**4 - a + 0 + 0*a**3 - 1/60*a**m + 0*a**2. Factor b(r).
-r**3/3
Let k(d) be the second derivative of -1/8*d**2 + 0 - 1/40*d**5 + 1/8*d**3 - 1/168*d**7 + 1/40*d**6 - 1/24*d**4 - 7*d. Let k(p) = 0. What is p?
-1, 1
Let w(b) = b**2 + 11*b - 24. Let t be w(-13). Let m = 8 + -3. Factor 0*r**m - t*r + 4*r - 4*r**3 + 2*r**5.
2*r*(r - 1)**2*(r + 1)**2
Find s, given that 1/9*s**4 + 0*s + 1/9*s**2 + 0 + 2/9*s**3 = 0.
-1, 0
Let b = -23 - -28. Let l(k) be the second derivative of 0 + k + 1/75*k**6 + 0*k**4 + 1/25*k**b - 1/5*k**2 - 2/15*k**3. Find f such that l(f) = 0.
-1, 1
Let c be ((-24)/(-30))/(4 - (-72)/(-20)). Factor -3/5*v**c - 1/5*v + 0 - 2/5*v**3.
-v*(v + 1)*(2*v + 1)/5
Let y(l) be the third derivative of l**8/840 - l**7/210 - l**6/180 + l**5/30 - l**3/3 + 3*l**2. Let w(m) be the first derivative of y(m). Factor w(d).
2*d*(d - 2)*(d - 1)*(d + 1)
Factor 2/3*q - 1/6*q**2 + 0.
-q*(q - 4)/6
Suppose r + 5*k = 22, -18 = -5*r - k - k. Factor -1/3*w**5 + 0 + 1/3*w**r + 0*w + 1/3*w**3 - 1/3*w**4.
-w**2*(w - 1)*(w + 1)**2/3
Let t(n) be the first derivative of 5*n**6/66 - 7*n**5/55 - 3*n**4/44 + 7*n**3/33 - n**2/11 - 12. Determine w so that t(w) = 0.
-1, 0, 2/5, 1
Let u(w) = w**3 + 4*w**2 - 7*w - 5. Let m be u(-5). Suppose 0 = 5*v - 5*z - 25, -2*z = -4*v + m*v + 4. Factor -j**4 - 2*j**2 + 3*j**4 + 2*j**3 + 0*j - v*j.
2*j*(j - 1)*(j + 1)**2
Let g(l) be the first derivative of -3*l**4/4 + 2*l**3 - 3*l**2/2 + 6. Factor g(r).
-3*r*(r - 1)**2
Let u(v) = v - 2. Let n be u(5). Factor 3 + 4*c - 2*c**2 - n.
-2*c*(c - 2)
Let i(v) be the third derivative of -v**7/525 + v**5/75 - v**3/15 + 2*v**2. Let i(l) = 0. Calculate l.
-1, 1
Let q be (-2)/(-2 - (-4)/3). Determine g, given that -q*g**5 + g**5 + 0*g**3 + 4*g + 4*g**3 - 6*g = 0.
-1, 0, 1
Let n = 11/3 - 19/6. Solve n*x + 0 - 1/4*x**2 = 0 for x.
0, 2
Let d(p) = -p**2 - 6*p + 76. Let m be d(6). Factor -1/2*s**m + 0*s**3 + 0*s + 0*s**2 + 0.
-s**4/2
Factor w**4 + 3*w**2 - 4 + 0*w**2 - 4*w + 4*w**3 + 0*w**4.
(w - 1)*(w + 1)*(w + 2)**2
Solve 2/11*r**3 + 8/11*r + 0 - 8/11*r**2 = 0.
0, 2
Factor 37*p**2 - 37*p**2 + p**3 - p.
p*(p - 1)*(p + 1)
Let b(d) be the third derivative of d**6/600 - d**5/300 + 26*d**2. Factor b(c).
c**2*(c - 1)/5
Let h = 711/10 - 71. Let p(f) be the second derivative of 0 - 1/12*f**4 + 1/10*f**5 - f + 0*f**3 + h*f**6 + 0*f**2. Suppose p(b) = 0. What is b?
-1, 0, 1/3
Let d(a) = 80*a**3 + 125*a**2 - 40*a - 85. Let i(q) = -20*q**3 - 31*q**2 + 10*q + 21. Let p(r) = -6*d(r) - 25*i(r). Factor p(u).
5*(u + 1)**2*(4*u - 3)
Let j be 2/6 - (-69)/9. Suppose p**4 + 2*p**5 - j*p**4 - 50*p**2 + 32*p + 0*p**4 - 7*p**4 + 38*p**3 - 8 = 0. Calculate p.
1, 2
Let b(k) be the third derivative of k**9/60480 - k**8/5040 + k**7/1260 - k**5/15 - k**2. Let m(w) be the third derivative of b(w). Suppose m(o) = 0. What is o?
0, 2
Factor 20*d + 6*d**2 + 2*d**2 - 4*d**3 - 2*d**2 + 12 - 2*d**2.
-4*(d - 3)*(d + 1)**2
Suppose 2*f = f + 3. Suppose f*j + 4*j**2 - 2*j**3 - 5*j + 0*j**2 = 0. What is j?
0, 1
Let h(t) be the third derivative of -t**5/30 - t**4/12 + t**2. Factor h(r).
-2*r*(r + 1)
Let v(l) = l**2 + 17*l - 36. Let j be v(-19). Suppose -6 + 21 = 5*d. Factor -d*n + 5*n**2 - 14*n**j + 0*n.
-3*n*(3*n + 1)
Let h = -20 + 25. Let s(p) be the first derivative of 0*p + 4/27*p**3 + 2/45*p**h + 0*p**2 + 1/6*p**4 + 2. Solve s(w) = 0.
-2, -1, 0
Suppose -5*t = f + 9, 3*t - 1 = -5*f + t. Find h, given that -f - 5*h**5 + 18*h**4 + 2*h**3 - 19*h**3 + 1 + 4*h = 0.
-2/5, 0, 1, 2
Suppose 16*f - 18*f + 2 = 0. Let x(s) be the first derivative of f - 14/33*s**3 + 4/11*s + 5/11*s**2. Factor x(l).
-2*(l - 1)*(7*l + 2)/11
Let m = 6 - 5. Let f(j) = j**3 + 2*j**2 - 1. Let p be f(m). Factor 3*z**p - 9*z**2 - 7*z**3 - 4*z + 11*z**3.
2*z*(z - 2)*(2*z + 1)
Let x(j) be the third derivative of j**7/210 + j**6/60 - j**5/20 - j**4/6 + 2*j**3/3 + 7*j**2. Let x(k) = 0. What is k?
-2, 1
Let g = -21 - -38. Let w = 17 - g. Let 2/5*y**4 + 0*y + 4/5*y**2 + w - 6/5*y**3 = 0. Calculate y.
0, 1, 2
Find s, given that -1/2*s - 1/4*s**4 - s**3 - 5/4*s**2 + 0 = 0.
-2, -1, 0
Suppose -w = 5*o - 1, -3*w = -3*o - 2*w - 1. Factor -22*g**3 + o*g**4 - 2*g**2 + 4*g**4 - 3*g**5 + 23*g**3.
-g**2*(g - 1)**2*(3*g + 2)
Let d = 17 + -11. Suppose 10 = -3*p + d*p + 2*i, 4 = 2*i. Factor -p*x**2 + 4 - 1 - 3.
-2*x**2
Suppose 3 = -v, -6*h - 228 = -h + v. Let f be (-26)/(-30) - (-9)/h. Factor -2/3*t - 2/3*t**2 + f*t**3 + 2/3*t**4 + 0.
2*t*(t - 1)*(t + 1)**2/3
Suppose 5*k = 3*x - 58, 4*x + 2*k + 39 - 125 = 0. Let l be 3 + -3 + 66/x. Factor -24/7*a - 8/7 + l*a**2 - 50/7*a**4 + 60/7*a**3.
-2*(a - 1)**2*(5*a + 2)**2/7
Suppose 0 = -0*w - 4*w. Let x = -7 + 11. Suppose 4 + w + x*b + 5*b**2 - 4*b**2 = 0. Calculate b.
-2
Let b(t) be the first derivative of -5*t**6/6 + 4*t**5 - 25*t**4/4 + 10*t**3/3 + 33. Find o, given that b(o) = 0.
0, 1, 2
Let c(n) be the third derivative of 0*n + 1/3*n**3 + 1/720*n**6 - 1/160*n**5 - 2*n**2 + 1/96*n**4 + 0. Let j(i) be the first derivative of c(i). Factor j(s).
(s - 1)*(2*s - 1)/4
Let w = -117/22 - -16/3. Let j(m) be the third derivative of 0*m + 0 - 1/33*m**3 - 1/330*m**5 - m**2 + w*m**4. What is h in j(h) = 0?
1
Factor 0*j**2 + 0 - 2/5*j**4 - 2/5*j**3 + 0*j.
-2*j**3*(j + 1)/5
Let -5/4*o**2 + 0 + o + 1/4*o**3 = 0. Calculate o.
0, 1, 4
Let d be (-51)/(30*(-76)/(-16)). Let r = -3/19 - d. Let 1/5*w**2 + r + 2/5*w = 0. What is w?
-1
Let h(q) = -22*q**2 + 2*q. Let a(j) = -21*j**2 + 3*j + 1. Suppose 5*p + 2*x - 3*x = -25, 25 = -5*x. Let v = p + 3. Let z(i) = v*h(i) + 4*a(i). Solve z(w) = 0.
-1/3, 2/3
Suppose o = -v + 2, -3 + 1 = -3*o - v. Suppose -5*c - 5 + 25 = o. Factor -12*a**3 - 2*a + 1 - 8*a**2 - 8*a**c - 1 - 2*a**5.
-2*a*(a + 1)**4
Let f(i) be the second derivative of 0*i**4 + 0*i**5 - 1/6*i**3 + 0 + 1/360*i**6 - 2*i + 0*i**2. Let w(v) be the second derivative of f(v). Factor w(p).
p**2
Let i(l) be the third derivative of 0*l**3 + 0 + 1/270*l**5 + 0*l - 1/54*l**4 + 9*l**2. Factor i(v).
2*v*(v - 2)/9
Let i = 1 + 2. Suppose i*k + 2 + 4 = 3*b, k = -3*b + 14. Factor -k*f**3 - 2 + 2.
-2*f**3
Let a be -5*(1 - (-12)/(-10)). Factor o**2 + 2 - 2*o**2 - a + 0*o**2.
-(o - 1)*(o + 1)
Let s be (-183)/(-122)*2/4. What is f in s*f**4 + 3/4*f + 9/4*f**3 + 9/4*f**2 + 0 = 0?
-1, 0
Let t(p) be the third derivative of 0*p**4 + 0 - 1/180*p**6 + 0*p - p**2 + 0*p**3 - 1/630*p**7 - 1/180*p**5. Factor t(h).
-h**2*(h + 1)**2/3
Let l = -64 + 67. Let s(g) be the first derivative of 1/12*g**6 + 0*g + 1/6*g**l + 3/10*g**5 + 3/8*g**4 + 0*g**2 + 1. Factor s(f).
f**2*(f + 1)**3/2
Let q(d) be the third derivative of d**6/300 + 8*d**2. Find s such that q(s) = 0.
0
Let z(u) be the third derivative of u**5/60 - 2*u**3/3 - 5*u**2. Let z(k) = 0. What is k?
-2, 2
Let x be 6/(3 + -4 + 3). Let -53*z**3 - 5*z**2 + 41*z**3 - x*z**4 - 7*z**2 = 0. What is z?
-2, 0
Let m(f) be the second derivative of -f + 1/22*f**4 + 0 - 1/11*f**3 + 7/110*f**5 + 1/55*f**6 - 2/11*f**2. Let m(s) = 0. Calculate s.
-1, 2/3
Let n(p) be the first derivative of -p**7/252 + p**6/90 - p**5/120 - 2*p - 2. Let s(b) be the first derivative of n(b). Let s(v) = 0. What is v?
0, 1
Let b(j) = -j**3 - 6*j**2 - 7*j - 7. Let y be b(-5). Let p be 1 + 14/(-8) + 2. Factor -p*z**y - 9/4*z**2 - 7/4*z - 1/2 - 1/4*z**4.
-(z + 1)**3*(z + 2)/4
Let h = 23 + -19. Let q(i) be the second derivative of 0 - 2/21*i**3 + 1/7*i**2 + 2*i + 1/42*i**h. Let q(s) = 0. Calculate s.
1
Suppose 2*d = 5 + 3. Let t(r) = -r. Let i be t(-4). Factor -y**4 - i*y**3 - 2*y**4 + 6*y**2 - 3*y**d + 4*y.
-2*y*(y - 1)*(y + 1)*(3*y + 2)
Let k = 6 + -3. Factor 0 + 0*u + 1/3*u**2 - 1/3*u**k.
-u**2*(u - 1)/3
Suppose 2*f = f. Suppose f = -3*r + r. Find z, given that 1/4*z**2 + 0 + r*z = 0.
0
Let v(n) be the third derivative of n**5/60 - n**4/12 - n**3/3 - 14*n**2. Let d(g) = -2*g - g + 2*g. Let p(t) = 3*d(t) - 3*v(t). Let p(m) = 0. Calculate m.
-1, 2
Let y be -278*(3 - 4)/(-10). Let