5*h + 18/5*h**3 - 4/5*h**4 + 16 + 28*h**2 = 0. Calculate h.
-5, 1/2, 1, 8
Let h(c) be the first derivative of -22*c**3/9 + 130*c**2/3 + 16*c - 73. Factor h(b).
-2*(b - 12)*(11*b + 2)/3
Let p(t) be the second derivative of -t**6/180 + t**5/12 - t**4/3 + 4*t**3/3 - 19*t. Let a(q) be the second derivative of p(q). Factor a(w).
-2*(w - 4)*(w - 1)
Let p be 49/(-98) - (-25)/30. Factor -p*c**3 - 4/3*c**2 + 0 + 4*c.
-c*(c - 2)*(c + 6)/3
Let h(i) be the first derivative of i**4/16 - 5*i**3/6 + 7*i**2/8 + 9*i/2 + 730. Factor h(f).
(f - 9)*(f - 2)*(f + 1)/4
Suppose f - 4*y = 23, 3*f = y + 31 + 16. Let b be (12/f)/(4/40*28). Factor -3/7 - b*p + 1/7*p**2.
(p - 3)*(p + 1)/7
Factor x**2 - 2*x**2 - 4*x + 13*x + 2*x**2.
x*(x + 9)
Let p(t) be the third derivative of -t**6/180 - t**5/60 + t**4/6 + 4*t**3/3 - 3*t**2. Let q(i) be the first derivative of p(i). Factor q(y).
-2*(y - 1)*(y + 2)
Let n(c) be the third derivative of c**2 + 0 + 0*c + 11/54*c**4 - 1/30*c**6 + 4/45*c**5 + 4/27*c**3. Determine w so that n(w) = 0.
-1/3, 2
Let d(l) = -l + 1. Suppose 10 = -2*j + 4*p, 0*p - 3*p + 10 = -4*j. Let g(t) = -3*t**2 + 5*t + 1. Let w(c) = j*g(c) + d(c). Factor w(a).
3*a*(a - 2)
Let a(y) be the second derivative of y**6/105 + 13*y**5/70 + 5*y**4/21 - 8*y**3/7 - 198*y. Solve a(l) = 0.
-12, -2, 0, 1
Let j(i) = -6*i**3 - 2*i**2 + 14*i + 3. Let l be j(0). Factor -1/6*w**l + 6*w**2 - 72*w + 288.
-(w - 12)**3/6
Let x(k) = -3*k**3 + 48*k**2 + 3*k - 53. Let h(o) = -4*o**3 + 72*o**2 + 16 + 103*o - 96 - 99*o. Let p(l) = -5*h(l) + 8*x(l). Determine q, given that p(q) = 0.
-1, 1, 6
Suppose -7*b = b - 160. Factor f + f**2 + 7*f**2 - 2*f**2 + b*f + 12 - 3*f**3.
-3*(f - 4)*(f + 1)**2
Let a(z) = -2*z**2 - 7*z**3 + 0 + 7 - 6*z**4 + z**4 - 7*z. Let t(h) = 2*h**4 + 3*h**3 + h**2 + 3*h - 3. Let s(v) = -3*a(v) - 7*t(v). Factor s(g).
g**2*(g - 1)*(g + 1)
Let d = -5 - -7. Let o be ((-5)/d)/1*-2. Suppose 2*r**4 + 5*r + 15*r**3 + o*r**2 - 7*r**4 - 20*r = 0. Calculate r.
-1, 0, 1, 3
Let j = 113/38 - 22303/114. Let a = j + 195. Factor -16/3*k**3 - a*k**4 + 0 - 2/3*k - 11/3*k**2.
-k*(k + 1)**2*(7*k + 2)/3
Let t = -21517/44 - -489. Let p = t + 93/220. Factor -2/5 + p*h**5 - 6/5*h - 4/5*h**2 + 4/5*h**3 + 6/5*h**4.
2*(h - 1)*(h + 1)**4/5
Factor -86*f**2 + 63*f**2 - 6*f + 50*f**3 - 46*f**3.
f*(f - 6)*(4*f + 1)
Let k(y) be the first derivative of y**4/6 + 38*y**3/27 + 2*y**2/3 - 917. Factor k(f).
2*f*(f + 6)*(3*f + 1)/9
Let w(v) = 2*v**2 - 6*v + 4. Let h(i) = 3*i**2 - 12*i + 9. Let y = 3 - 7. Let a(d) = y*h(d) + 7*w(d). Factor a(f).
2*(f - 1)*(f + 4)
Let x(l) be the first derivative of 2*l**5/45 - l**4/2 + 26*l**3/27 + 5*l**2 - 100*l/9 + 71. Factor x(u).
2*(u - 5)**2*(u - 1)*(u + 2)/9
Let q(k) be the first derivative of k**4/3 - 2*k**3 + k - 6. Let j(o) be the first derivative of q(o). Factor j(c).
4*c*(c - 3)
Suppose -33 = -5*d - 3. Let l(p) = 15*p**2 + 16*p + 5. Let g(q) = 8*q**2 + 8*q + 2. Let s(r) = d*l(r) - 11*g(r). Suppose s(u) = 0. What is u?
-2
Factor -2*o**3 + 2*o**2 + 48 - 20*o**2 + 32*o + 2*o**2 - 12 - 10*o.
-2*(o - 2)*(o + 1)*(o + 9)
Let j = -4 + 6. Factor f**2 - 30*f**5 - 5*f**j - 15*f**4 - 15*f**3 - f**2 + 25*f**5.
-5*f**2*(f + 1)**3
What is i in 2/3*i**2 - 2/9*i**3 - 8/3 + 8/9*i = 0?
-2, 2, 3
Let r = -347 - -349. Let p(s) be the first derivative of -5/6*s**4 + r + 5/3*s**2 - 4/3*s - 2/5*s**5 + 10/9*s**3. Find c, given that p(c) = 0.
-2, -1, 1/3, 1
Let q(o) be the second derivative of o**7/70 + o**6/2 + 57*o**5/10 + 27*o**4/2 - 243*o**3/2 + 2187*o**2/10 + 13*o - 3. Solve q(g) = 0.
-9, 1
Let l(f) be the second derivative of f**7/70 - f**6/20 + f**5/20 - 9*f**2/2 - 13*f. Let t(q) be the first derivative of l(q). Suppose t(v) = 0. Calculate v.
0, 1
Let p = -329/113 - -62415/16159. Let x = p - 10/13. Suppose -x*m**2 + 0*m + 0 + 0*m**3 + 2/11*m**4 = 0. Calculate m.
-1, 0, 1
Factor -6*a**3 - 71*a + 19*a + 3*a**2 + 28*a + 27*a.
-3*a*(a - 1)*(2*a + 1)
Suppose 0*n - 4*n + 5*z = -49, -4*n - 4*z + 4 = 0. Suppose 2*x = n*x + 5*x. Factor x + 0*r + 0*r**2 + 4/11*r**3 + 2/11*r**4.
2*r**3*(r + 2)/11
Let y(q) be the first derivative of 10/3*q**3 - 8 - 3/2*q**4 - 2/5*q**5 - 2*q**2 + 0*q + 1/3*q**6. Solve y(t) = 0.
-2, 0, 1
Let n be -1*5 - (18 + -251). Let u = n + -1590/7. What is q in -u*q + 0 - 3/7*q**2 + 3/7*q**3 = 0?
-1, 0, 2
Let a be (-1 + -9)*(-28)/5. Determine q, given that -196 - 8*q**2 - 5*q**2 - a*q + 9*q**2 = 0.
-7
Suppose -32*i - 21*i - 97*i + 450 = 0. Solve 2/5 + 4/5*h**2 - 1/5*h**i - h = 0 for h.
1, 2
Let d be ((-8)/3)/((-5)/(-15)). Let b be (12/d)/((-2)/12). Solve 3*v**2 - b - 3*v**2 + 8 - v**2 - 2*v = 0 for v.
-1
Let t = -25 - -25. Suppose -4 = -t*d - d. Factor 6 - p**2 + 7*p + 2*p + d*p**2 + 0*p.
3*(p + 1)*(p + 2)
Suppose -7048*d = -7052*d. Let i(o) be the second derivative of 0*o**2 + 1/90*o**6 + 0 + 0*o**4 + 8*o - 1/60*o**5 + d*o**3. Factor i(a).
a**3*(a - 1)/3
Let t(x) = -9*x**2 + 6*x + 3. Suppose 0 = -f + 2*f + 13. Let g(d) = -19*d**2 + 12*d + 7. Let b(l) = f*t(l) + 6*g(l). Factor b(v).
3*(v - 1)**2
Let u(r) = r**3 + 4*r**2 + 5*r + 5. Let l be u(-4). Let j = 17 + l. Find y such that 10/7*y**3 - 6/7*y**5 - 2/7*y**j - 4/7*y + 0 + 2/7*y**4 = 0.
-1, -2/3, 0, 1
Factor -i**3 - 11*i**3 + 10*i**3 - 2*i**2 + 4*i.
-2*i*(i - 1)*(i + 2)
Let u(o) = 12*o**4 + 69*o**3 + 145*o**2 + 120*o + 32. Let c(q) = 2*q**2 - 2. Let w(z) = -2*c(z) + u(z). Factor w(r).
3*(r + 1)*(r + 2)**2*(4*r + 3)
Let l(j) be the third derivative of -j**7/84 - j**6/2 - 23*j**5/3 - 50*j**4 - 500*j**3/3 + 233*j**2. What is s in l(s) = 0?
-10, -2
Let b(t) be the third derivative of t**7/70 - t**6/40 - 3*t**5/10 - 58*t**2. Factor b(y).
3*y**2*(y - 3)*(y + 2)
Factor 0*y + 3/7*y**2 + 1/7*y**3 - 4/7.
(y - 1)*(y + 2)**2/7
Factor 6*m**2 + 3/5*m**3 + 0 - 33/5*m.
3*m*(m - 1)*(m + 11)/5
Let s(k) be the third derivative of 0*k**4 - 18*k**2 - 1/105*k**7 + 0*k + 0 + 4/105*k**6 - 2/105*k**5 + 0*k**3. Factor s(n).
-2*n**2*(n - 2)*(7*n - 2)/7
Let d(s) = s**2 - 6*s - 12. Let x be d(8). Suppose -3*m = -3*n + n + 12, 0 = -2*n + x*m + 14. Let 0 + 2/3*a**2 + 0*a + 7/3*a**4 + 3*a**n = 0. What is a?
-1, -2/7, 0
Let u be (108/54)/(2/3). Let z(o) be the third derivative of 1/105*o**7 + u*o**2 + 1/30*o**6 + 1/30*o**5 + 0 + 0*o**4 + 0*o + 0*o**3. Let z(y) = 0. Calculate y.
-1, 0
Let u(a) be the third derivative of -a**6/120 + 7*a**5/60 - a**4/6 - 2*a**3 - 68*a**2. Suppose u(c) = 0. What is c?
-1, 2, 6
Suppose -6/7*g**4 + 0 + 0*g**2 - 4/7*g**3 - 2/7*g**5 + 0*g = 0. Calculate g.
-2, -1, 0
Suppose -4*o + 2*o = 0. Let c be (-58)/(-29) + 0/(-2). Factor 3/7*v**c + 0*v + o.
3*v**2/7
Let w be -7*(6 + (-315)/49). Let s(d) be the first derivative of 0*d - 4/7*d**w + 8 - 4/35*d**5 - 3/7*d**4 - 2/7*d**2. Find b such that s(b) = 0.
-1, 0
Let g(h) = 9*h**2 + 148*h + 1288. Let t(w) = -10*w**2 - 145*w - 1290. Let v(z) = 5*g(z) + 4*t(z). Find u, given that v(u) = 0.
-16
Let u be (-448)/168*18/(-42). Factor -2/7 - 6/7*c**2 - u*c.
-2*(c + 1)*(3*c + 1)/7
Let v(n) = 8*n**3 - 104*n**2 - 220*n - 108. Let b(x) = -x**3 + x**2 + 2*x. Let a(j) = -4*b(j) - v(j). Let a(i) = 0. What is i?
-1, 27
Let y = -25 + 51/2. Let b(w) be the second derivative of 0 + 0*w**5 + 1/2*w**4 - 1/5*w**6 + 0*w**2 + 2*w - y*w**3 + 1/14*w**7. Solve b(x) = 0.
-1, 0, 1
Let t be 7 - 9 - (63/(-108))/((-3)/(-12)). Factor 0 + t*y**2 - 5/3*y.
y*(y - 5)/3
Let j be 544/663 + (-9)/((-117)/(-2)). Solve 0*y**2 - 2/3*y**5 + j*y**3 + 0*y + 0*y**4 + 0 = 0 for y.
-1, 0, 1
Let d be (-51)/(-68) + 33/(-60). Let z(n) be the first derivative of -d*n**2 + 6 + 0*n - 1/5*n**3 - 1/20*n**4. Determine t, given that z(t) = 0.
-2, -1, 0
Let n(x) be the second derivative of 0 + 38*x - 5/12*x**4 + 0*x**2 - 1/2*x**5 + 1/2*x**6 + 0*x**3. Find l, given that n(l) = 0.
-1/3, 0, 1
Let n be (-34)/85*2/((-144)/15). Let l(r) be the first derivative of -3/8*r**2 - n*r**3 - 1/20*r**5 + 3/16*r**4 + 2 + 1/2*r. Factor l(x).
-(x - 2)*(x - 1)**2*(x + 1)/4
Let u = 505 + -1502/3. Let c = -23/6 + u. Factor 0 + 1/2*l**3 - c*l**2 + 0*l.
l**2*(l - 1)/2
Suppose 2/9*b**2 + 1682/9 - 116/9*b = 0. Calculate b.
29
Let s(b) be the first derivative of 5*b**4/8 - 20*b**3/3 + 35*b**2/4 + 425. Let s(q) = 0. Calculate q.
0, 1, 7
Let g(v) = 13*v**2 - 364*v - 33122. Let n(t) = -59*t**2 + 1456*t + 132487. Let r(w) = 9*g(w) + 2*n(w). Determine b, given that r(b) = 0.
-182
Le