/60*h**4 + 0*h**3 + 0. Solve c(z) = 0 for z.
-1, 0, 2/5, 1
Let n = 22 - 14. Let r be n/(-10) + 38/10. Factor 1/2*h + 7/4*h**4 + 0 - 1/2*h**r - 7/4*h**2.
h*(h - 1)*(h + 1)*(7*h - 2)/4
Suppose 5*b = -5*k - 25, 2*b - 20 = 2*k + 6*b. Let 1/2*p**3 - p - 1/2*p**2 + k = 0. Calculate p.
-1, 0, 2
Solve -4*w + 1 - 5*w**2 + 2 + 4*w**2 + 2*w = 0.
-3, 1
Let k(b) = -b**2 + b - 1. Let w(v) = -10*v**2 + 24*v + 4. Let g(s) = 12*k(s) - w(s). Determine z, given that g(z) = 0.
-4, -2
Factor 0 + 1/2*f**4 - 1/2*f**2 + 0*f**3 + 0*f.
f**2*(f - 1)*(f + 1)/2
Let m = -59 - -61. Factor 0 - 1/5*q**m - 2/5*q.
-q*(q + 2)/5
Let k(a) be the second derivative of a**6/80 - 3*a**5/160 - a**4/32 + a**3/16 + a. Factor k(o).
3*o*(o - 1)**2*(o + 1)/8
Let o be (-10*(-6)/(-24))/((-5)/10). Factor -3*d**3 + 3/2*d**2 + 5/2*d**4 - 1/4*d - 3/4*d**o + 0.
-d*(d - 1)**3*(3*d - 1)/4
Factor 2/7*n + 0 + 1/7*n**3 + 3/7*n**2.
n*(n + 1)*(n + 2)/7
Let k(z) be the first derivative of -z**2/2 + 6*z + 5. Let t be k(6). Determine q so that 5/3*q**2 + t + 2/3*q = 0.
-2/5, 0
Factor 4*o - 4/3*o**2 - 8/3.
-4*(o - 2)*(o - 1)/3
Find z such that -4/3*z**2 - 10/3*z - 2/3 - 6*z**5 + 28/3*z**3 + 2*z**4 = 0.
-1, -1/3, 1
Let a be 6/27*-30*(-2)/4. Factor 1/3 - 10/3*j**3 + a*j**2 - 1/3*j**5 + 5/3*j**4 - 5/3*j.
-(j - 1)**5/3
Let v(x) = -x**3 - 18*x**2 - 55*x + 14. Let w be v(-14). Factor 2*u**2 + 2*u + 1/2*u**3 + w.
u*(u + 2)**2/2
Let o(s) be the first derivative of 3/20*s**4 + 1/30*s**6 - 1/15*s**3 + 4 + 0*s - 3/25*s**5 + 0*s**2. Factor o(m).
m**2*(m - 1)**3/5
Let t = 55344/5 - 11264. Let m = t + 196. Factor -m*p - 4*p**2 + 0 - 5*p**3.
-p*(5*p + 2)**2/5
Let a(i) = 6*i**2 + 5*i - 6. Let u(x) = 4*x**2 + 9*x - 4. Let v(h) = h**2 - h - 1. Let l(z) = -u(z) - 3*v(z). Let j(d) = -6*a(d) - 5*l(d). Factor j(g).
-(g - 1)*(g + 1)
Suppose 4*k = 4, -5*k + 10 = 5*l - 10*k. Factor -2*r - l*r + 8*r + 3*r**2.
3*r*(r + 1)
Let m = -11 + 16. Suppose -o + m*o = 16. Factor 0*k**o + k**3 - k - 4*k**2 + 5*k**2 - k**4.
-k*(k - 1)**2*(k + 1)
Let m be (10/45 - -4) + -4. Determine t, given that 2/9*t**5 + 2/9*t - 4/9*t**3 - 4/9*t**2 + m*t**4 + 2/9 = 0.
-1, 1
Let l(z) be the third derivative of 3*z**2 + 0 + 1/900*z**6 + 0*z + 0*z**3 + 1/180*z**4 + 1/225*z**5. Factor l(d).
2*d*(d + 1)**2/15
Let s(z) be the first derivative of -z**6/240 - 7*z**5/240 + z**4/8 + 4*z**3/3 - 3. Let g(l) be the third derivative of s(l). Find b such that g(b) = 0.
-3, 2/3
Let p(f) be the third derivative of f**8/60480 + f**5/12 - 2*f**2. Let a(s) be the third derivative of p(s). Determine c so that a(c) = 0.
0
Let n(k) be the second derivative of -k**5/90 - k**4/27 - k**3/27 - 6*k. Suppose n(y) = 0. What is y?
-1, 0
Let h = -6 + 9. Suppose -h*b - 5*p + 27 = 0, 2*p = -4 - 2. Factor -8/7 - 290/7*o**2 + 470/7*o**3 + b*o**5 - 50*o**4 + 80/7*o.
2*(o - 1)**3*(7*o - 2)**2/7
Find k, given that 25/3*k**2 + 0 - 3*k**3 + 2*k = 0.
-2/9, 0, 3
Suppose -3*r = 2*r. Let l(w) be the third derivative of 1/300*w**6 - 2*w**2 + 0 - 1/525*w**7 - 1/60*w**4 + r*w**3 + 0*w + 1/150*w**5. Factor l(x).
-2*x*(x - 1)**2*(x + 1)/5
Let j(n) be the third derivative of -1/336*n**8 - 1/120*n**6 + 0*n - 1/70*n**7 - 4*n**2 + 0 + 0*n**3 + 1/12*n**4 + 1/20*n**5. What is d in j(d) = 0?
-2, -1, 0, 1
Let y(c) be the first derivative of c**6/140 + c**5/42 + c**4/42 - 2*c**2 + 5. Let q(p) be the second derivative of y(p). Determine f, given that q(f) = 0.
-1, -2/3, 0
Let s(o) = -o**3 + o**2 - o + 1. Let h(z) = z**3 - 3*z**2 + 7*z - 5. Suppose -4*q + q = -12. Let n be (-1)/q - 15/4. Let u(m) = n*s(m) - h(m). Factor u(c).
(c - 1)*(c + 1)*(3*c - 1)
Suppose 1 = -2*d + r - 0, 3*d - 4*r + 14 = 0. Let z(x) be the third derivative of 0 + 1/8*x**3 - x**d + 0*x**4 - 1/80*x**5 + 0*x. Factor z(k).
-3*(k - 1)*(k + 1)/4
Let r be -7*((-39)/21 + 1). Factor 12*j - r*j**2 + 2*j**2 - 13*j + 3*j**2.
-j*(j + 1)
What is o in 0*o + 2/3*o**5 - 8/3*o**2 + 16/3*o**3 - 10/3*o**4 + 0 = 0?
0, 1, 2
Let v(u) be the first derivative of u**3/18 - u**2/6 - 68. Determine o, given that v(o) = 0.
0, 2
Let y = 28 - 26. Factor 2*p + 2*p**2 + 2*p**2 - 3*p**y + 0*p.
p*(p + 2)
Suppose -8 = -s - 3. Let x(d) be the second derivative of 2*d + 0 - 1/5*d**3 + 2/5*d**4 - 2/5*d**2 - 7/50*d**s. Factor x(y).
-2*(y - 1)**2*(7*y + 2)/5
Let n = 47 - 45. Let i(r) be the second derivative of -7/15*r**6 - 16/3*r**3 - 4*r - 4*r**n + 0 - 1/21*r**7 - 25/6*r**4 - 19/10*r**5. Solve i(v) = 0 for v.
-2, -1
Let v(y) be the third derivative of -y**8/6720 + y**7/210 - y**6/15 - y**5/12 + 6*y**2. Let k(s) be the third derivative of v(s). Factor k(c).
-3*(c - 4)**2
Let u(c) be the third derivative of 0*c + 0*c**3 + 0*c**5 + 0*c**7 - 2*c**2 - 1/60*c**6 + 0*c**4 + 0 + 1/168*c**8. What is h in u(h) = 0?
-1, 0, 1
Let i(b) = -1. Let p(h) = -5*h**2 + 2*h + 2. Let x(s) = 5*i(s) + p(s). Let j(m) = 14*m**2 - 6*m + 8. Let c(w) = 3*j(w) + 8*x(w). Factor c(g).
2*g*(g - 1)
Let p = 299/1545 - -2/309. Let -1/5*o**2 + p*o**4 - 3/5*o**3 + 0 + 1/5*o**5 + 2/5*o = 0. Calculate o.
-2, -1, 0, 1
Suppose b + 4*f = -4, f - 18 = -3*b - 2*b. Let t be 13 + -14 + (-6)/(-4). Factor q**b + 0 + 0*q**2 + t*q**5 + 1/2*q**3 + 0*q.
q**3*(q + 1)**2/2
Let p(j) be the second derivative of -2*j**7/77 + 19*j**6/165 - j**5/5 + j**4/6 - 2*j**3/33 - 14*j. Determine l, given that p(l) = 0.
0, 1/2, 2/3, 1
Factor -25*a - 11 + 118*a**2 - 123*a**2 - 19.
-5*(a + 2)*(a + 3)
Let v = -4/25 - -91/100. Factor v*j**3 + 0*j**2 + 0 + 0*j + 3*j**4.
3*j**3*(4*j + 1)/4
Suppose 3/8*s**3 + 0 + 0*s + 3/4*s**2 = 0. Calculate s.
-2, 0
Let o = -293 - -141. Let u be 4/(-18) - o/36. Factor -2 - u*x**2 - x - 2*x + 3.
-(x + 1)*(4*x - 1)
Suppose -5*s + 0 = -c + 10, 0 = -4*c - 5*s - 60. Let d = c - -12. Let 0*r**d - 1/4 + 1/4*r**4 + 1/2*r - 1/2*r**3 = 0. What is r?
-1, 1
Let n(v) = v**4. Let c(a) = -14*a**4 - 2*a**3. Let f(o) = -c(o) - 12*n(o). Determine d so that f(d) = 0.
-1, 0
Let k be ((44/(-24))/(-11))/3. Let b(a) be the second derivative of 0*a**3 + 1/30*a**5 - 2*a + 0*a**2 - k*a**4 + 0. Factor b(x).
2*x**2*(x - 1)/3
Let t = -65 + 70. Find s, given that 2/5*s**4 + 0 - 2/5*s**2 + 0*s + 1/5*s**t - 1/5*s**3 = 0.
-2, -1, 0, 1
Solve -2*x**3 - 235*x + 231*x - 8*x**2 - 2*x**3 = 0 for x.
-1, 0
Let k(r) be the second derivative of 0 - 2*r**2 + 2/3*r**3 - 2*r - 1/12*r**4. Factor k(f).
-(f - 2)**2
Factor -b**2 + 458 - 10*b - 453 + 6*b**2.
5*(b - 1)**2
Factor -q - 5*q + q**3 - 3*q**2 + 2*q**3.
3*q*(q - 2)*(q + 1)
Let v = 4/129 + 676/387. Solve -v*m**5 - 2/9 + 22/9*m**2 - 58/9*m**3 + 52/9*m**4 + 2/9*m = 0.
-1/4, 1/2, 1
Factor 0*i + 1/3 - 1/3*i**2.
-(i - 1)*(i + 1)/3
Let o(k) = k**2 + 7*k - 112. Let v be o(8). Factor -2/3*j**5 - 8/3*j - 4*j**4 + 0 - v*j**2 - 26/3*j**3.
-2*j*(j + 1)**2*(j + 2)**2/3
Let k(z) be the first derivative of -4*z**3/3 + 2*z**2 + 8*z - 7. Factor k(c).
-4*(c - 2)*(c + 1)
Let x(z) = 126*z**2 - 34*z + 4. Let j(q) be the second derivative of q**4/12 + q**3/6 - q**2/2 + 5*q. Let h(w) = -2*j(w) - x(w). Factor h(l).
-2*(8*l - 1)**2
Let y = 32 + -94/3. Factor -4/9*x + 0*x**3 + 0 + 2/9*x**4 - y*x**2.
2*x*(x - 2)*(x + 1)**2/9
Let a(t) be the second derivative of 5*t - 3/7*t**7 - 4/5*t**6 + 0*t**4 + 0 + 0*t**2 + 0*t**3 - 2/5*t**5. Determine y so that a(y) = 0.
-2/3, 0
Let x = 30 - 27. Let d(l) be the first derivative of -1 + 4/3*l + 2/9*l**x - l**2. Determine w, given that d(w) = 0.
1, 2
Let h(o) be the first derivative of -8/5*o**5 + 7/4*o**2 - 4/3*o**6 + 8/3*o**3 + 5 + 1/2*o + o**4. Suppose h(x) = 0. Calculate x.
-1/2, 1
Let m(h) be the third derivative of -h**5/90 - h**4/36 + 3*h**2. Determine s so that m(s) = 0.
-1, 0
Let v(x) = x**2 + 24*x + 29. Let l(h) = -2*h**2 - 36*h - 43. Let b(m) = -5*l(m) - 7*v(m). Factor b(c).
3*(c + 2)**2
Suppose 350*q = 311*q. Factor 0*m**3 + 0 + 0*m**2 + 2/7*m**4 + q*m - 2/7*m**5.
-2*m**4*(m - 1)/7
Let a(p) = p**2 + 25*p + 1. Let j(d) = -6*d. Let g(l) = -4*a(l) - 18*j(l). Solve g(t) = 0.
1
Let t(b) be the first derivative of 2*b**3/3 + b**2 - 2. Factor t(i).
2*i*(i + 1)
Let c(f) be the first derivative of f**4/3 + 4*f**3/3 - 4*f**2 - 32*f/3 - 3. Factor c(k).
4*(k - 2)*(k + 1)*(k + 4)/3
Let o be 2/8*(-1)/(-1). Let a be 3 + -7 - ((-20)/8 + -2). Factor a*z - o*z**2 - 1/4.
-(z - 1)**2/4
Let a be (-10 + 1251/126)/((-2)/48). Factor a*d**3 + 0*d + 0 - 12/7*d**2 - 3/7*d**4.
-3*d**2*(d - 2)**2/7
Let p be 14/2 + 1 + -1. 