rivative of -u**4/54 + 2*u**3/27 + 8*u**2/9 - 2*u - 3. Suppose f(x) = 0. Calculate x.
-2, 4
Let h be ((-1)/4)/((-20)/16). Let m be 4 + ((-76)/(-20) + 0)/(-1). Determine a so that -1/5*a**4 - h*a + 0 + 1/5*a**2 + m*a**3 = 0.
-1, 0, 1
Let h be 1/2*8 + -4. Factor 4*y - 6*y**3 - 45*y**2 + h*y + 26*y**3 + 6*y.
5*y*(y - 2)*(4*y - 1)
Factor -1 - 5*t**2 + 25*t + 27 + 4.
-5*(t - 6)*(t + 1)
Factor -4/5*x**3 - 56/5 - 92/5*x - 8*x**2.
-4*(x + 1)*(x + 2)*(x + 7)/5
Let 1/3*w + 2 - 2*w**2 - 1/3*w**3 = 0. Calculate w.
-6, -1, 1
Let n(a) be the second derivative of 7*a + 0 + 0*a**2 + 1/20*a**4 + 0*a**3. Factor n(b).
3*b**2/5
Let g = 12 + 13. Factor 90*f - 9*f**3 + 20*f**4 + 15*f**2 - g*f**4 - 11*f**3.
-5*f*(f - 2)*(f + 3)**2
Factor -272/5*p - 9248/5 - 2/5*p**2.
-2*(p + 68)**2/5
Suppose -6 = x - 4*t - 0, 4 = 3*x - t. Factor -4*w**4 - 49*w**2 - 48*w**2 - 4 + 105*w**x.
-4*(w - 1)**2*(w + 1)**2
Factor 4/9*u**2 - 2/3*u**3 + 2/9*u**4 + 0 + 0*u.
2*u**2*(u - 2)*(u - 1)/9
Factor -14*f + 26/7*f**3 - 10*f**2 - 2/7*f**4 + 0.
-2*f*(f - 7)**2*(f + 1)/7
Let z = -19 - -23. Let f be z/(-3)*225/(-10). Factor 75 - f*a + 3*a**2 - 2*a**2 + 2*a**2.
3*(a - 5)**2
Let q be 30*-3*2/(-15). Let t = q - 9. Find d such that -9 - 6*d + 0*d + 6 - t*d**2 = 0.
-1
Let o = 18 + -14. Suppose 3*x - o = 2*x. Factor -x + 1 + 2 + 5*s**3 + 3 + 9*s**2 + s**4 + 7*s.
(s + 1)**3*(s + 2)
Let b(v) be the first derivative of -v**4/36 - 5*v**3/3 - 75*v**2/2 - 45*v - 23. Let d(l) be the first derivative of b(l). Factor d(i).
-(i + 15)**2/3
Let j = -3143834/33 - -95276. Let y = -84/11 + j. Factor 4/3*u**4 - y*u**3 + 0*u**2 + 0 + 0*u - 2/3*u**5.
-2*u**3*(u - 1)**2/3
Suppose 0 = g - 6*g - 3*a + 13, 0 = 5*a - 5. Suppose -g*b - 4 = -4*s, -5*b + 22 = -b + 2*s. Let -4*y**b + 12*y**3 + 6*y + 4 + y + y - 20*y**3 = 0. What is y?
-1, 1
Factor 3*k**2 - 2757 - 20*k - 4*k**2 - 114*k - 2707 + 975.
-(k + 67)**2
Suppose 6*m - 14 = 4. Let q be (-4)/(-22) + (-1634)/(-209). Factor 8*c**m + 20*c**4 + 17*c**3 + 8*c**2 - q*c**2 + 10*c**2 + 5*c**5.
5*c**2*(c + 1)**2*(c + 2)
Factor -64/7 + 4/7*l**2 - 60/7*l.
4*(l - 16)*(l + 1)/7
Suppose -g + 1 = -2, -5*l + 45 = 5*g. Suppose -w - w = -l. Factor -12*f**w - 5*f - 11*f + 6 + 39*f**2 - 17*f.
-3*(f - 2)*(f - 1)*(4*f - 1)
Let h(g) = 4*g**4 + 2*g**3 + 5*g**2 + 3*g + 6. Let j(f) = 1 - f**2 - 23*f**4 + f + 2*f**2 + 24*f**4. Let t(m) = 4*h(m) - 20*j(m). Let t(u) = 0. Calculate u.
-1, 1
Let w(b) = -b**3 + b**2. Let n be -2 + 18/3 + -3. Let s = -1 - n. Let z(t) = 7*t**4 - 11*t**3 - 3*t**2 + 9*t - 2. Let h(u) = s*w(u) + z(u). Factor h(a).
(a - 1)**2*(a + 1)*(7*a - 2)
Let m(j) be the second derivative of 1/39*j**4 + 5*j + 0*j**5 - 1/2340*j**6 - 1/2*j**3 + 0 + 0*j**2. Let l(o) be the second derivative of m(o). Factor l(z).
-2*(z - 2)*(z + 2)/13
Find s, given that -256/9 - 1600/9*s - 3268/9*s**2 - 2344/9*s**3 - 445/9*s**4 - 25/9*s**5 = 0.
-8, -1, -2/5
Let x(v) be the second derivative of v**7/525 - v**6/75 + v**5/50 + v**4/15 - 4*v**3/15 + 4*v**2 - 7*v. Let q(r) be the first derivative of x(r). Factor q(l).
2*(l - 2)**2*(l - 1)*(l + 1)/5
Let g(y) be the third derivative of -5/336*y**8 + 0*y**3 + 0*y - 7/40*y**6 + 11/60*y**5 + 0 - 9*y**2 - 1/12*y**4 + 17/210*y**7. Factor g(t).
-t*(t - 1)**3*(5*t - 2)
Suppose -4*r = -2*r - 4. Suppose r*m + 0*m - 5*c = -10, 2*m - 2*c = -4. Suppose 1/3*l**3 - 2/3*l**2 + 0 + m*l = 0. Calculate l.
0, 2
Suppose -5*t - 508 = 3*w - w, -3*t = 12. Let z = 249 + w. Find d, given that -2*d**z + 0*d - 6/7*d**3 - 4/7*d**2 + 24/7*d**4 + 0 = 0.
-2/7, 0, 1
Let n(w) be the second derivative of -w**7/147 - 2*w**6/105 + w**5/35 + 2*w**4/21 - w**3/21 - 2*w**2/7 + 6*w + 5. Let n(y) = 0. Calculate y.
-2, -1, 1
Let v = 3/1484 - 19681/8904. Let h = -25/12 - v. Factor 0 + h*w**5 + 1/8*w**2 - 1/8*w**4 - 1/8*w**3 + 0*w.
w**2*(w - 1)**2*(w + 1)/8
Let x(j) = 2*j**3 - 2*j**2 - 12*j - 28. Let c(a) be the first derivative of -a**4 + a**3 + 25*a**2/2 + 55*a - 18. Let w(z) = 4*c(z) + 7*x(z). Factor w(b).
-2*(b - 3)*(b + 2)**2
Let u be (0*24/(-264))/(5 - 1). Factor 3/5*j**3 + u + 0*j**4 - 2/5*j**2 - 1/5*j**5 + 0*j.
-j**2*(j - 1)**2*(j + 2)/5
Let c(w) = 6*w**2 - 57*w - 5. Let i(r) = 2*r**2 - 28*r - 2. Let h(g) = -2*c(g) + 5*i(g). Let h(q) = 0. What is q?
-13, 0
Let i(g) = 8*g + 42. Let j be i(-5). Factor 2*r**3 + 10*r**j - 2*r + 16*r - 7*r - 9*r - 10.
2*(r - 1)*(r + 1)*(r + 5)
Let w(m) be the first derivative of 0*m - 38 + 2/15*m**5 - 10/9*m**3 - m**2 - 1/6*m**4. Factor w(z).
2*z*(z - 3)*(z + 1)**2/3
Factor -8*m**3 + 2205*m**2 + 29*m**3 - 2205*m**2 + 3*m**4.
3*m**3*(m + 7)
Let l(y) be the first derivative of -y**6/780 - y**5/195 + 4*y**3/3 + 8. Let w(o) be the third derivative of l(o). Factor w(p).
-2*p*(3*p + 4)/13
Suppose 0 - v**4 + v**2 - 5/4*v**3 + 5/4*v = 0. Calculate v.
-5/4, -1, 0, 1
Let x(w) be the third derivative of 1/10*w**5 + 0*w + 0 - 27*w**2 + w**3 - 1/120*w**6 - 11/24*w**4. Solve x(l) = 0 for l.
1, 2, 3
Let r(i) be the second derivative of -3*i**5/4 + 31*i**4/6 - 34*i**3/3 + 4*i**2 - 5*i - 64. Factor r(t).
-(t - 2)**2*(15*t - 2)
Let m(v) be the second derivative of -v**7/1050 - v**6/300 + v**5/300 + v**4/60 + 13*v**2 + 19*v. Let c(q) be the first derivative of m(q). Factor c(r).
-r*(r - 1)*(r + 1)*(r + 2)/5
Let r(t) = 10*t + 162. Let k be r(-16). Factor -12/5 - 3/5*d**3 - 3*d**k - 24/5*d.
-3*(d + 1)*(d + 2)**2/5
Let d(k) be the second derivative of k**4/4 - 5*k**3 + 36*k**2 - 8*k - 2. Factor d(m).
3*(m - 6)*(m - 4)
Let r be (-2 - 2)/4*-7. Suppose -3*l - 2*s = -0*s - 12, 4*l = 5*s - r. Factor -4 - 2 + 4 - l*g**2 - 2*g**3 + 4*g**2 + 2*g.
-2*(g - 1)**2*(g + 1)
Let z(s) be the second derivative of s**4/27 - 112*s**3/27 + 1568*s**2/9 + 57*s. Solve z(o) = 0.
28
Let d(m) be the second derivative of 0 - 55/6*m**3 + 25/2*m**2 + 4*m + 35/12*m**4 - 1/4*m**5. Find k such that d(k) = 0.
1, 5
Suppose 4*f + 2*g = -498 - 64, -f - 148 = 2*g. Let d = -138 - f. Let -48/5 + d*m**3 + 120*m**2 + 0*m - 375*m**4 = 0. What is m?
-2/5, 2/5
Let c(r) = 7*r**4 + 23*r**3 - 8. Let s(b) = b**4 + 3*b**3 - 1. Let g(v) = c(v) - 8*s(v). Find d, given that g(d) = 0.
-1, 0
Let o(y) be the first derivative of 49*y**6/12 + 189*y**5/10 - 195*y**4/32 - 163*y**3/12 + 33*y**2/16 + 9*y/2 - 583. Suppose o(v) = 0. Calculate v.
-4, -3/7, 1/2
Let x(s) = -s**2 + 39*s + 31. Let p(o) = -2*o**2 + 96*o + 78. Let d(u) = -5*p(u) + 12*x(u). Factor d(k).
-2*(k + 3)**2
Let n(d) be the first derivative of d**3 - 117*d**2/2 + 114*d + 2. Factor n(v).
3*(v - 38)*(v - 1)
Let c(g) be the first derivative of 1/7*g**2 + 2/21*g**3 + 2 + 0*g. Factor c(v).
2*v*(v + 1)/7
Let x(d) be the third derivative of -d**6/24 - d**5/2 - 55*d**4/24 - 5*d**3 + 19*d**2 - 2*d. What is a in x(a) = 0?
-3, -2, -1
Let w be (-113)/(-226)*(1 - 1). Find n such that w*n + 0*n**2 - 2/3*n**4 - 1/3*n**5 + 0*n**3 + 0 = 0.
-2, 0
Factor 2*m**3 + 3*m**3 - 7*m**3 + 34*m**2 - 64 - 8*m - 9*m - 11*m.
-2*(m - 16)*(m - 2)*(m + 1)
Let b = -92026/35 - -18408/7. Factor 2/5*p**4 + 0 + 0*p - b*p**3 - 4/5*p**2.
2*p**2*(p - 2)*(p + 1)/5
Let v(w) = 3*w + 20. Let k be v(-6). Determine a, given that -3*a**3 + 6*a**3 - 12*a**k + 9*a + 0*a**3 = 0.
0, 1, 3
Factor 0 - 2/5*t**2 - 162/5*t.
-2*t*(t + 81)/5
Let j = -6/187 + 487/9350. Let f(l) be the third derivative of -3/200*l**6 + 1/560*l**8 + 5*l**2 + 0*l**7 - j*l**5 + 0*l**3 + 0 + 0*l + 0*l**4. Factor f(g).
3*g**2*(g - 2)*(g + 1)**2/5
Let q(z) = -z**2 - 2. Let c(f) = 12*f**3 + 32*f**2 - 111*f - 44. Let l(j) = -c(j) + 7*q(j). Factor l(v).
-3*(v - 2)*(v + 5)*(4*v + 1)
Factor 56/9*b**2 - 7/9*b**3 - 16/3*b + 0 - 1/9*b**4.
-b*(b - 4)*(b - 1)*(b + 12)/9
Let q = 68 + -65. Let t(a) be the first derivative of q - 3/5*a**5 + 0*a + 3/2*a**2 - 3/4*a**4 + a**3. Factor t(w).
-3*w*(w - 1)*(w + 1)**2
Let b(a) be the first derivative of -8*a**3/3 - 82*a**2 - 80*a + 37. Let b(o) = 0. Calculate o.
-20, -1/2
Let d(v) be the first derivative of 2*v**3/39 - 8*v**2/13 + 46. Determine a so that d(a) = 0.
0, 8
Suppose 2*g + 3*l - 185 = 2*l, 100 = g - l. Let u be (2/(-4))/((g/30)/(-19)). Suppose 1/2*t**u - t**2 + 0 + 1/2*t = 0. Calculate t.
0, 1
Let j = -11218 + 44873/4. Factor 0*b - j*b**5 + 1/2*b**3 + 0 - 1/4*b**4 + 0*b**2.
-b**3*(b - 1)*(b + 2)/4
Let q(u) be the third derivative of 0*u**3 + 0 - 1/390*u**5 + 0*u + 1/1365*u**7 + 0*u**4 + 0*u**6 + 17*u**2. Factor q(x).
2*x**2*(x 