e third derivative of 0*r**3 + 0*r - 2*r**2 + 1/45*r**d + 1/36*r**4 + 0 + 1/180*r**6. Factor g(b).
2*b*(b + 1)**2/3
Suppose 4*y - 10 = 6*y. Let b(h) = -h**2 - 5*h + 4. Let g be b(y). Factor 1 + 2*c**g - 1 + 8*c**5 - 10*c**5.
-2*c**4*(c - 1)
Let f(g) = g**5 + 48*g**4 - 120*g**3 + 57*g**2 + 7. Let y(z) = z**5 + 24*z**4 - 60*z**3 + 29*z**2 + 3. Let q(x) = -3*f(x) + 7*y(x). What is s in q(s) = 0?
-8, 0, 1
Let g(o) be the second derivative of -3*o + 1/20*o**4 + 27/10*o**2 + 0 - 3/5*o**3. Let g(l) = 0. Calculate l.
3
Let l be -3*(-1)/3 - (-4308)/(-30). Let q = 143 + l. Solve 0 + 2/5*h**3 + 4/5*h**2 + q*h = 0 for h.
-1, 0
Solve 9*o**2 + 0*o + 0 + 1/2*o**3 = 0.
-18, 0
Let d(x) be the first derivative of x**3/12 - 7*x**2/8 - 105. Factor d(o).
o*(o - 7)/4
Let o(p) be the second derivative of 0*p**3 + 1/2*p**2 + 1/6*p**4 + 0 - 7/30*p**5 - 4*p. Let q(t) be the first derivative of o(t). Factor q(x).
-2*x*(7*x - 2)
Let k(p) = 10*p - 47. Let s be k(5). Let c be ((-1)/3)/((12/(-32))/s). Determine r, given that -c - 26/3*r**2 + 8*r - 2/3*r**4 + 4*r**3 = 0.
1, 2
Let d = -1040 + 2081/2. Factor 3/2*a**3 + 3/2*a**2 + d*a**4 + 1/2*a + 0.
a*(a + 1)**3/2
Let s be (-5)/2 + (-3)/(-6). Let o be (-3 + 25/7)/(s/(-7)). Factor 0 - o*u + 2/3*u**2.
2*u*(u - 3)/3
Let g = -9 + 18. Let 18*h**2 - 23*h**3 + 12*h - 8 + 3*h**5 - 12*h**4 + 0*h - 3*h**5 + g*h**5 = 0. Calculate h.
-1, 2/3, 2
Let v(i) be the second derivative of i**6/2340 - i**5/780 - 29*i**3/6 - 7*i. Let l(x) be the second derivative of v(x). Factor l(w).
2*w*(w - 1)/13
Factor 0 - 128/7*h - 4/7*h**2 + 4/7*h**4 + 128/7*h**3.
4*h*(h - 1)*(h + 1)*(h + 32)/7
Let x(y) be the third derivative of -8*y**2 - 1/3*y**3 + 0 + 0*y - 1/8*y**4 - 1/60*y**5. Factor x(l).
-(l + 1)*(l + 2)
Suppose 9 = 2*v - f, 12*f + 13 = 3*v + 10*f. Factor 15/4*a - 15/2*a**2 - 15/4*a**4 + 3/4*a**v + 15/2*a**3 - 3/4.
3*(a - 1)**5/4
Let q = -648 - -651. Let n(k) be the first derivative of -3/2*k**2 - q*k + 2*k**3 - 6. Find p such that n(p) = 0.
-1/2, 1
Let x = -7853/5 + 1571. Let p(b) be the second derivative of 4*b**2 - x*b**5 - 1/15*b**6 + 4/3*b**3 + 0 + 10*b - 1/2*b**4. Determine v, given that p(v) = 0.
-2, -1, 1
Let s(h) be the first derivative of 2*h**6/3 - 24*h**5/5 + 12*h**4 - 40*h**3/3 + 6*h**2 - 123. Find p such that s(p) = 0.
0, 1, 3
Let l(d) = 2*d**2 - 42*d - 32. Let w be l(22). Let j = 14 + -10. Factor 0*b**j + w*b**3 - 6*b**2 - 8*b**4 + 2*b**2.
-4*b**2*(b - 1)*(2*b - 1)
Let z(n) = -46*n**3 + 173*n**2 - 403*n - 571. Let d = 9 - 3. Let j(p) = -8*p**3 + 29*p**2 - 67*p - 95. Let s(t) = d*z(t) - 34*j(t). Let s(b) = 0. What is b?
-1, 7
Let a(h) be the second derivative of -5*h**7/42 + h**6/3 + 9*h**5/4 - 5*h**4/6 - 20*h**3/3 - 120*h + 2. Find w, given that a(w) = 0.
-2, -1, 0, 1, 4
Let p(u) = 20*u**2 - 28. Let c(k) = -2*k**3 + k**3 - 190 + 161 + 21*k**2 + 0*k**2 - k. Let n(z) = -4*c(z) + 5*p(z). Factor n(h).
4*(h - 1)*(h + 2)*(h + 3)
Let u(c) be the second derivative of c**7/18 - c**6/10 - 19*c**5/60 + 41*c**4/36 - 4*c**3/3 + 2*c**2/3 - 78*c. Factor u(t).
(t - 1)**3*(t + 2)*(7*t - 2)/3
Let h(c) = 36*c**4 - 8*c**3 - 152*c**2 - 136*c - 28. Let w(j) = -4*j**4 + j**3 + 17*j**2 + 15*j + 3. Let o(s) = -3*h(s) - 28*w(s). Let o(n) = 0. Calculate n.
-1, 0, 3
Let s(t) be the third derivative of 0 - 6*t**2 - 1/180*t**6 + 0*t - 1/72*t**4 + 1/9*t**3 - 1/36*t**5. Factor s(h).
-(h + 1)*(h + 2)*(2*h - 1)/3
Suppose 0 = 11*u + 12 + 54. Let l be u/216 - 3/(-12). Factor -2/9*q**2 + 2/9 - l*q + 2/9*q**3.
2*(q - 1)**2*(q + 1)/9
Let d(g) be the second derivative of -19*g - 1/18*g**4 + 5/3*g**2 + 0 + 4/9*g**3. Factor d(k).
-2*(k - 5)*(k + 1)/3
Let t be 9 - (-2 + 4) - (-260)/(-39). Factor 0 - t*d**3 - 4/3*d - 4/3*d**2.
-d*(d + 2)**2/3
Factor -5 - 13 + 2*m**2 + 37 + 30*m - 4 + 37.
2*(m + 2)*(m + 13)
Let n(i) be the first derivative of -3*i**7/28 + 5*i**6/72 + i**5/12 - 9*i**3 - 29. Let o(g) be the third derivative of n(g). What is b in o(b) = 0?
-2/9, 0, 1/2
Let r(x) = 5*x**3 + x**2 - 38*x + 2. Let q(s) = -6*s**3 + 42*s - 1. Let i(c) = -6*q(c) - 7*r(c). Let i(z) = 0. What is z?
1, 2, 4
Let w = 1904/4755 + -2/4755. Let 40 + w*b**2 - 8*b = 0. Calculate b.
10
Let m(r) = -250*r**4 + 330*r**2 + 12*r - 100. Let l(k) = 250*k**4 - 330*k**2 - 11*k + 101. Let d(h) = 4*l(h) + 5*m(h). Determine t, given that d(t) = 0.
-4/5, 3/5, 1
Let x(b) be the second derivative of b**7/3360 + b**6/1440 - 13*b**3/6 + 11*b. Let t(i) be the second derivative of x(i). Suppose t(m) = 0. What is m?
-1, 0
Let q = 4792 + -14615/3. Let s = q - -80. Determine r so that 1/3*r**2 - 1/3 - 1/3*r**3 + s*r = 0.
-1, 1
Let q be (1 + -6)*2/(-5). What is m in -2 - m**q + m**3 + 4*m**4 + 16*m + 34 - 5*m**3 - 23*m**2 = 0?
-2, -1, 2
Let s(g) be the third derivative of g**6/780 - 8*g**5/39 - 163*g**4/156 - 82*g**3/39 - 292*g**2. Factor s(d).
2*(d - 82)*(d + 1)**2/13
Let j(a) be the third derivative of 0 + 0*a - 12*a**2 + 3/40*a**4 + 1/600*a**6 + 0*a**3 + 1/50*a**5. Factor j(g).
g*(g + 3)**2/5
Let d(z) be the first derivative of 7*z**4/6 + 2*z**3/9 - 52*z**2/3 + 88*z/3 + 249. Factor d(n).
2*(n - 2)*(n - 1)*(7*n + 22)/3
Suppose -15*j + 0 + 1/3*j**2 = 0. Calculate j.
0, 45
Let a(u) be the first derivative of 22*u**3/3 - 21*u**2 - 4*u - 139. Factor a(s).
2*(s - 2)*(11*s + 1)
Let x(i) be the second derivative of 3*i**6/25 + 12*i**5/25 - 4*i**4/15 - 32*i**3/15 + 16*i**2/5 + 62*i. Factor x(f).
2*(f + 2)**2*(3*f - 2)**2/5
Factor 4/3 + 2/15*m**2 - 22/15*m.
2*(m - 10)*(m - 1)/15
Let w(f) be the first derivative of -2*f**5/35 + f**4/14 + 44*f**3/7 + 32*f**2 + 320*f/7 - 418. Solve w(o) = 0 for o.
-4, -1, 10
Let h be (-11)/(-3) - 4/6. Suppose 10 = 2*k + h*k. Factor 2*r + 2*r**3 + r - 2 + r**k + 3*r - 7*r**2.
2*(r - 1)**3
Let u(y) be the second derivative of -y**6/45 + 67*y**5/10 - 4489*y**4/6 + 300763*y**3/9 + 254*y + 1. Factor u(j).
-2*j*(j - 67)**3/3
Let x(z) be the third derivative of z**5/20 - 7*z**4/24 + 2*z**3/3 + 25*z**2. Factor x(r).
(r - 1)*(3*r - 4)
Let x(t) be the second derivative of t**4/28 + 3*t**3/7 + 15*t**2/14 - 2*t + 33. Find f such that x(f) = 0.
-5, -1
Let r be 1/((-4)/(-6))*2. Let n be (4/18*3)/((-70)/(-945)). Factor -3*s**3 - 6 + 9*s + 0*s**3 + r*s**4 - n*s**2 + 6*s.
3*(s - 1)**3*(s + 2)
Let h be (156/15 - 10) + (-60)/275. Factor -h*z**3 - 2/11 + 2/11*z + 2/11*z**2.
-2*(z - 1)**2*(z + 1)/11
Let m(y) be the third derivative of -y**6/120 - y**5/4 + 3*y**4 - 38*y**3/3 - 115*y**2. Factor m(v).
-(v - 2)**2*(v + 19)
Let g(u) be the second derivative of u**6/45 - u**5/2 + 13*u**4/6 - 37*u**3/9 + 4*u**2 - 8*u. Suppose g(v) = 0. Calculate v.
1, 12
Let f = 31 - 29. Factor 2*m**5 + 65*m**2 - m**3 - m**3 - 65*m**f.
2*m**3*(m - 1)*(m + 1)
Let v(x) be the third derivative of -x**5/75 - x**4/60 + 2*x**3/5 + 158*x**2. Determine t, given that v(t) = 0.
-2, 3/2
Let w(q) be the third derivative of q**6/40 - 3*q**5/10 + 390*q**2. Factor w(s).
3*s**2*(s - 6)
Let v be (174/783)/(32/18). Determine x, given that -5/8*x - 3/8*x**3 + v + 7/8*x**2 = 0.
1/3, 1
Let s(d) be the third derivative of d**8/2240 - d**7/252 + d**6/80 - d**5/60 + d**4/12 - 2*d**2. Let w(t) be the second derivative of s(t). Factor w(q).
(q - 2)*(q - 1)*(3*q - 1)
Let m(l) be the third derivative of l**7/17640 - l**6/840 + l**5/168 + 35*l**4/24 - 9*l**2. Let v(h) be the second derivative of m(h). Factor v(a).
(a - 5)*(a - 1)/7
Let d = 3/142 + 257/1278. Let h(j) be the first derivative of -1/9*j**2 + d*j**4 + 4/9*j**3 - 8/45*j**5 - 1/9*j**6 - 4/9*j + 2. Find z, given that h(z) = 0.
-1, 2/3, 1
Let r(z) be the first derivative of -z**7/1260 + z**6/360 - z**5/360 + 3*z**2 - 14. Let q(g) be the second derivative of r(g). Let q(o) = 0. What is o?
0, 1
Let k(j) = -5*j**3 + 50*j**2 - 333*j + 285. Let y(a) = -6*a**3 + 50*a**2 - 332*a + 284. Let u(q) = -4*k(q) + 3*y(q). Factor u(f).
2*(f - 12)**2*(f - 1)
Let k(c) = 5*c**2 - 2*c + 1. Let t be k(1). Suppose o - t = -o. What is u in -1 + 4*u**3 - o + 6 + 15*u**2 + 12*u + 2*u**3 = 0?
-1, -1/2
Suppose 4*q - 3*f = 24, 4*q + 4*f = -11 + 35. Factor 14*h + 147 + 28*h - 3*h**2 + q*h**2.
3*(h + 7)**2
Let y(a) = a + 27. Let i be y(-21). Suppose k = -3 + i. Factor 116/7*t**2 + 170/7*t**4 + 50/7*t**5 + 212/7*t**k + 2/7 + 26/7*t.
2*(t + 1)**3*(5*t + 1)**2/7
Suppose 4*q + 4 = -10*w + 7*w, 50 = -5*w + 2*q. Let n be -5 - -2 - ((-272)/(-10))/w