)**3*(a + 2)**2
Let d(w) = 2*w**2 + 5*w - 4. Let i be d(3). Let j = 31 - i. Determine o so that 2*o**3 + 10*o**2 + 2*o**3 + 8 - 20*o - 6*o**j + 4 = 0.
-3, 1
Let g(d) = d**2 - 19*d + 1. Let n be g(-11). Let n*a**2 + 9 + 11*a**4 - 265*a**2 + 3*a**5 + 39*a + 54*a**3 + 10*a**4 = 0. Calculate a.
-3, -1
Let v(h) be the first derivative of -h**3/6 - 6*h**2 + 25*h/2 + 66. Suppose v(c) = 0. Calculate c.
-25, 1
Let b(x) be the first derivative of 2*x**6/3 + 16*x**5/5 - 10*x**4 - 112*x**3/3 - 30*x**2 - 4. Factor b(h).
4*h*(h - 3)*(h + 1)**2*(h + 5)
Let l(n) = -n**2 + 3*n + 3. Let g be l(4). Let z be 6/9*g - 3/(-3). Determine v so that 0 + z*v - 1/3*v**3 + 0*v**2 = 0.
-1, 0, 1
Let a(d) be the third derivative of d**8/8736 + 2*d**7/4095 - d**6/1170 - 5*d**4/12 + 11*d**2. Let p(r) be the second derivative of a(r). Factor p(l).
2*l*(l + 2)*(5*l - 2)/13
Suppose -139*g + 134*g = -15. Let x(a) be the third derivative of 0*a + 2*a**2 + 5/8*a**4 + 0 + 1/40*a**6 + a**g + 1/5*a**5. Factor x(s).
3*(s + 1)**2*(s + 2)
Let f(o) be the second derivative of 0 + 22*o - 3/2*o**3 + 1/8*o**4 + 27/4*o**2. Solve f(h) = 0.
3
Factor 15*c**4 + 8*c**2 - 150*c**3 + c + 137*c**2 + 20*c**4 - 31*c.
5*c*(c - 3)*(c - 1)*(7*c - 2)
Let z = 6125 + -6123. Suppose 2/9*f + 2/9*f**z + 0 = 0. Calculate f.
-1, 0
Suppose -19*x - 144 = -21*x. Let q be ((-8)/6)/((-16)/x). Factor p**2 + 9 + p**2 + 0*p - p**2 + q*p.
(p + 3)**2
Suppose -27*n + 16 = -23*n. Let a(t) = 17*t**2 + 13*t + 10. Let g(v) = 9*v**2 + 6*v + 5. Let o(r) = n*a(r) - 7*g(r). Factor o(d).
5*(d + 1)**2
Let c(d) be the second derivative of d**5/12 + 5*d**4/6 - 25*d**3/6 + 3*d**2/2 - 29*d. Let j(v) be the first derivative of c(v). Factor j(i).
5*(i - 1)*(i + 5)
Let h = 9487/5 - 1892. Determine b, given that h + 3/5*b**2 + 18/5*b = 0.
-3
Let f(z) be the third derivative of -17*z**7/126 - 11*z**6/90 - z**5/45 + 4*z**2. Let f(a) = 0. Calculate a.
-2/5, -2/17, 0
Let v = 4 + 10. Let t = v - 6. Let u**3 - t*u + 0*u + 7*u = 0. What is u?
-1, 0, 1
Let l be (75/20)/(9/6). Let z = -46 - -101/2. Find o, given that -l*o + 8*o**2 - 1 - z*o**3 = 0.
-2/9, 1
Let j(c) be the third derivative of 0*c - 1/60*c**5 + 0*c**3 + 0 - 14*c**2 - 1/24*c**4. Suppose j(l) = 0. Calculate l.
-1, 0
Let m be ((-1)/6)/(2/(-6)). Suppose -2*y = -x, 31*y = 36*y - 5. Factor 1/4*b**x + 0 + m*b**3 - 1/4*b**4 - 1/2*b.
-b*(b - 2)*(b - 1)*(b + 1)/4
Let z(n) be the first derivative of 0*n**2 - 5/4*n**4 + 0*n + 5/6*n**6 - 41 - 3*n**5 + 5*n**3. Determine g, given that z(g) = 0.
-1, 0, 1, 3
Let t(a) be the first derivative of -4 + 3/16*a**4 + 3/2*a**3 + 6*a + 9/2*a**2. Let t(x) = 0. What is x?
-2
Let q(v) be the first derivative of -5/36*v**4 + 2/45*v**5 - 2 + 2/9*v**3 + 3/2*v**2 - 1/180*v**6 + 0*v. Let h(w) be the second derivative of q(w). Factor h(u).
-2*(u - 2)*(u - 1)**2/3
Let w(k) = 11*k**3 - 17*k**2 - 38*k + 5. Let m(b) = 6*b**3 - 9*b**2 - 21*b + 3. Let y(s) = -5*m(s) + 3*w(s). Factor y(x).
3*x*(x - 3)*(x + 1)
Let x be 4 - ((-1)/(-1) + (-23 - -6)). Let w be (-5)/6*(-6)/x*2. Factor 0 + 1/2*u - u**2 + w*u**3.
u*(u - 1)**2/2
Let y be ((-152)/(-95) - 1)*6. Factor -24/5 - y*r**2 - 3/5*r**3 - 36/5*r.
-3*(r + 2)**3/5
Factor -3*b**2 + 3*b**4 + 0 + 7/3*b**3 + 1/3*b**5 - 8/3*b.
b*(b - 1)*(b + 1)**2*(b + 8)/3
Let h = 24 + -24. Let m(r) be the first derivative of h*r - 3/4*r**4 - 2 + 1/5*r**5 + 2*r**2 + 0*r**3. Factor m(b).
b*(b - 2)**2*(b + 1)
What is h in 2/3*h**2 + 0 + 6*h = 0?
-9, 0
Let g = 1/1084 - -14633/1084. Suppose 63/4*i**2 + 6*i + g*i**3 + 3/4 = 0. What is i?
-1/2, -1/3
Let w(p) be the first derivative of p**6/180 + p**5/15 + p**4/3 + 8*p**3/9 + 5*p**2 - 12. Let d(y) be the second derivative of w(y). Factor d(m).
2*(m + 2)**3/3
Suppose -4*a = -4*x - 1068, 2*x - 3*a + 1335 = -3*x. Let d = x + 269. Determine r so that r - 1/2*r**d - 1/2 = 0.
1
Let v(r) be the third derivative of 0*r**3 - 5/42*r**7 + 5/12*r**5 + 0*r - 1/8*r**6 + 5/84*r**8 + 2*r**2 + 0 - 5/24*r**4. What is g in v(g) = 0?
-1, 0, 1/4, 1
Let a(d) be the first derivative of -d**6/480 + d**5/120 + d**4/32 + 6*d**2 - 6. Let i(g) be the second derivative of a(g). Suppose i(p) = 0. What is p?
-1, 0, 3
Suppose 2*j + 28 = 4*v, -4*v + 7*j = 2*j - 16. Let x be (3/v)/((-1)/(-6)). Factor d**4 + x*d + 11*d**3 - 11*d**3 - 3*d**2.
d*(d - 1)**2*(d + 2)
Let m(c) = -c**2 + 94*c - 2116. Let k(o) = 3*o**2 - 283*o + 6348. Let n(s) = -2*k(s) - 7*m(s). Factor n(x).
(x - 46)**2
Let d(p) be the third derivative of 0*p - 1/12*p**3 - 2*p**2 + 0 - 1/60*p**5 + 3/32*p**4. Solve d(q) = 0.
1/4, 2
Let g = 52 - 52. Let y be (g + 0)/((-5)/(-5)). Factor -16/5*t + 4/5*t**3 + 12/5*t**2 + y.
4*t*(t - 1)*(t + 4)/5
Let g = 2782538/431 - 6456. Let m = g + 421/2155. Let -2/5*x - 1/5 - m*x**2 = 0. Calculate x.
-1
Let a(x) be the third derivative of -12*x**2 + x**3 + 0 + 1/35*x**7 + 0*x - 1/8*x**4 - 1/5*x**5 + 1/20*x**6 - 1/112*x**8. Suppose a(f) = 0. What is f?
-1, 1, 2
Let t be 2/8 - 29*(-1)/(-20). Let s = t - -9/5. Factor s*h**2 + 0*h - 3/5.
3*(h - 1)*(h + 1)/5
Factor -20*b**2 + 63*b**2 - 28*b**2 + 25*b - 20*b**2 - 20.
-5*(b - 4)*(b - 1)
Let f(c) be the second derivative of c**9/60480 - c**7/5040 + c**5/480 - 25*c**4/12 - 19*c - 1. Let y(b) be the third derivative of f(b). Factor y(m).
(m - 1)**2*(m + 1)**2/4
Let l(u) = -6*u**3 - 2*u + 4. Let o(v) = 5*v**3 + v**2 + v - 4. Let a(n) = 2*n**2 + 12*n - 4. Let p be a(-6). Let h(i) = p*o(i) - 3*l(i). Factor h(m).
-2*(m - 1)*(m + 1)*(m + 2)
Suppose -8/7 - 16/7*y + 4/7*y**3 - 6/7*y**2 + 2/7*y**4 = 0. What is y?
-2, -1, 2
Let z(l) = 30*l**2 + 610*l + 11. Let s(p) = -11*p**2 - 203*p - 4. Let g(v) = 11*s(v) + 4*z(v). Determine m so that g(m) = 0.
0, 207
Find c such that 32*c**4 - 64*c**4 + 4*c**5 + 21*c**4 + 31*c**4 + 16*c**3 = 0.
-4, -1, 0
Let p(u) = 5*u**2 - 137*u + 432. Let j(g) = g**3 - 4*g**2 - 4*g - 7. Let o be j(5). Let s(q) = 2*q**2 - 46*q + 144. Let z(l) = o*p(l) + 7*s(l). Factor z(c).
4*(c - 6)**2
Let i = 12593/2 - 6294. Factor -1/4*z**2 + i*z - 25/4.
-(z - 5)**2/4
Let g(r) be the first derivative of r**8/5880 - r**6/210 + 2*r**5/105 - r**4/28 - 13*r**3/3 - 2. Let b(f) be the third derivative of g(f). Factor b(x).
2*(x - 1)**3*(x + 3)/7
Let k(u) be the first derivative of 4*u**5/15 - u**4/12 - 16*u**3/3 + 38*u**2/3 - 16*u/3 - 520. Suppose k(b) = 0. What is b?
-4, 1/4, 2
Let q = 103165/11 + -9377. Factor 54/11*k**5 + 0*k - q*k**4 - 6/11*k**2 - 30/11*k**3 + 0.
6*k**2*(k - 1)*(3*k + 1)**2/11
Let n(j) = j**5 + j**3 - j**2 - j + 1. Let d(s) = 2*s**5 + 2 - 2*s**3 + 2 - 5*s**2 - 8*s**4 - 1 - 3*s + 4*s**4. Let l(g) = -d(g) + 3*n(g). Factor l(o).
o**2*(o + 1)**2*(o + 2)
Let f(z) be the first derivative of -1/3*z**2 + 2/15*z**5 + 43 + 1/6*z**4 + 0*z - 2/9*z**3. Factor f(o).
2*o*(o - 1)*(o + 1)**2/3
Let g(j) be the first derivative of 3*j**5/5 - 3*j**4 + 3*j**3 + 6*j**2 - 12*j - 12. Factor g(f).
3*(f - 2)**2*(f - 1)*(f + 1)
Suppose 29/2 - 1/2*d**4 - 14*d**2 + 15*d - 15*d**3 = 0. What is d?
-29, -1, 1
Let g(h) = -2*h**2 - 4*h - 7. Let z(f) = -4*f - 8*f**2 + 11*f**2 - f - 8 - 6*f**2. Let y(v) = -6*g(v) + 5*z(v). Factor y(d).
-(d + 1)*(3*d - 2)
Let -645*v**2 + 1286*v**2 - 644*v**2 + 18*v - 3*v**3 = 0. Calculate v.
-3, 0, 2
Factor -98/3 - 2/3*q**2 + 28/3*q.
-2*(q - 7)**2/3
Let x = -17 + 10. Let o = x - -10. Let -6*r**3 + r**3 - 9*r - 2*r**2 + 11*r**2 + 2*r**o + 3 = 0. Calculate r.
1
Let h be 65/60 - (2/(-3))/(-2). Suppose -1/2*u**4 + h*u**3 + 0 + 0*u**2 - 1/4*u = 0. What is u?
-1/2, 0, 1
Let x(s) be the second derivative of s**8/5040 + s**7/840 - s**5/90 + 47*s**3/6 + 20*s. Let l(d) be the second derivative of x(d). Factor l(z).
z*(z - 1)*(z + 2)**2/3
Suppose 3*v - 2*h = -6, -4*v + 144*h - 6 = 142*h. What is i in 0*i**4 - 1/3*i**3 + 1/3*i**5 + 0 + v*i + 0*i**2 = 0?
-1, 0, 1
Let w(y) be the third derivative of -7*y**5/15 - 76*y**4/3 + 88*y**3/3 - 310*y**2. Find i such that w(i) = 0.
-22, 2/7
Let z = -333/86 - -23977/5848. Let p = z + 3/136. Factor 9/4 + p*v**2 + 3/2*v.
(v + 3)**2/4
Let b(h) be the third derivative of -13*h**7/1260 + h**6/360 + 13*h**5/360 - h**4/72 + 2*h**2 + 179. Determine d so that b(d) = 0.
-1, 0, 2/13, 1
Let d(j) be the first derivative of -j**5 + 15*j**4/4 - 10*j**2 - 48. Determine a, given that d(a) = 0.
-1, 0, 2
Let q(v) be the first derivative of -v**7/105 - v**6/20 - v**5/15 - 25*v**2/2 + 41. Let