 given that f(d) = 0.
-2, -1, 0
Let u(w) be the third derivative of 2*w**2 - 4/105*w**7 + 2/3*w**3 + 1/15*w**5 + 0*w + 0 + 1/168*w**8 + 1/15*w**6 - 5/12*w**4. Factor u(r).
2*(r - 2)*(r - 1)**3*(r + 1)
Let a(c) be the first derivative of -c**4/10 + 16*c**3/5 - 117*c**2/5 - 676*c/5 + 120. Determine z, given that a(z) = 0.
-2, 13
Factor -384*x**2 - 542*x + 179*x**3 - 192 - 36*x**4 - 11*x**3 + 974*x + 3*x**5.
3*(x - 4)*(x - 2)**4
Let v(q) be the second derivative of q**4/18 - 6*q**3 + 243*q**2 + 6*q + 4. Factor v(m).
2*(m - 27)**2/3
Let c(j) be the second derivative of 1/45*j**6 + 0 - 1/126*j**7 + 0*j**3 - 1/60*j**5 + 0*j**4 + 0*j**2 + 33*j. Let c(x) = 0. What is x?
0, 1
Let c(u) be the third derivative of u**8/23520 - u**7/2205 + u**6/630 + 7*u**4/6 - 7*u**2. Let l(z) be the second derivative of c(z). Solve l(s) = 0.
0, 2
Let l(s) = -s**2 + 47*s - 339. Let c be l(38). Determine v so that 2/9*v - 2/9*v**c - 2/9*v**2 + 0 + 2/9*v**4 = 0.
-1, 0, 1
Let u(c) be the second derivative of 1/3*c**4 + 0*c**2 + 0 - 2/5*c**5 - 11*c + 2/3*c**3. Solve u(v) = 0 for v.
-1/2, 0, 1
Let y(g) be the first derivative of g**4/28 - 5*g**3/21 - 22. Let y(w) = 0. What is w?
0, 5
Let v be 6/15 + (-12)/(-20). Suppose x - 3 + v = 0. Find o such that 11*o**2 - 8*o**x + o**2 + 12*o + 8 = 0.
-2, -1
Factor -3*q**3 - q**3 + 16*q**2 - 3944*q + 28*q**2 + 3992*q.
-4*q*(q - 12)*(q + 1)
Let q(a) be the first derivative of -6/35*a**5 + 6/7*a + 8/7*a**3 - 1/14*a**6 - 1 + 3/2*a**2 + 3/14*a**4. Factor q(o).
-3*(o - 2)*(o + 1)**4/7
Let o(d) be the first derivative of 5*d**3 + 51 + 0*d**2 + 0*d - 5/4*d**4 + 5/6*d**6 - 3*d**5. Let o(a) = 0. Calculate a.
-1, 0, 1, 3
Let m(v) be the second derivative of 7*v**4/54 + 5*v**3/27 - 2*v**2/9 - 7*v - 4. Let m(u) = 0. What is u?
-1, 2/7
Let f(z) be the second derivative of 2*z**3 - 26 - 1/6*z**4 - z + 0*z**2. Find m, given that f(m) = 0.
0, 6
Let u = 3 + 2. Suppose -u*n = -7 - 8. Suppose -n + m**2 + 8*m - 5 + 0*m**2 - 3*m**2 = 0. Calculate m.
2
Let z(c) be the third derivative of -c**5/60 + c**3/6 + 103*c**2. Determine v so that z(v) = 0.
-1, 1
Let d be ((-3)/7)/(2/(-14)). Let w(b) be the third derivative of 0*b + 1/80*b**6 - 3*b**2 + 0*b**d + 1/48*b**4 + 1/420*b**7 + 1/40*b**5 + 0. Factor w(o).
o*(o + 1)**3/2
Suppose -45 = 3*x + 4*b - 13, -8 = -3*x + 4*b. Let s be (-7)/(-21) - (1 + x/3). Suppose 4/3*a**3 + 0*a**4 + 0 + 0*a**2 - s*a**5 - 2/3*a = 0. Calculate a.
-1, 0, 1
Let y(b) = b**2 - 11*b + 4. Let u be y(-5). Let r be (-3)/u - ((-20)/14)/5. Factor 1/8*o**5 - 3/8*o + 1/4*o**3 + r*o**2 - 3/8*o**4 + 1/8.
(o - 1)**4*(o + 1)/8
Let c(m) be the third derivative of 1/36*m**4 + 0 + 0*m**5 - 1/180*m**6 + 1/630*m**7 - 1/18*m**3 - 11*m**2 + 0*m. Let c(u) = 0. Calculate u.
-1, 1
Let s be 3/((-6)/(-3) - 1). Suppose v - 92 = -s*b + 8, v = b - 28. Factor 11*d + 6*d - b + 8*d - 2*d**2 - 9*d.
-2*(d - 4)**2
Find z, given that -18/5*z + 2/5*z**3 + 0 + 16/5*z**2 = 0.
-9, 0, 1
Let x be (3/(-4))/((-132)/32). Let k = -18058/11 - -1642. Determine v so that -4/11*v**4 + k*v**3 - 4/11 - x*v**5 - 2/11*v + 8/11*v**2 = 0.
-2, -1, 1
Factor -5/4*l**2 + 15/4 + 5/2*l.
-5*(l - 3)*(l + 1)/4
Let j(h) be the second derivative of -1/5*h**5 + 2/3*h**3 + 0 + h**2 - 3*h - 1/15*h**6 + 0*h**4. Determine f, given that j(f) = 0.
-1, 1
Let n = 1523 - 1523. Let z(d) be the second derivative of 135/2*d**2 + n + 45/2*d**3 + 1/4*d**5 + 15/4*d**4 + 9*d. What is b in z(b) = 0?
-3
Let a be 1*(134 + -2 + 6). Let x = -410/3 + a. Suppose -2/3*n**2 - 2/3*n + x = 0. Calculate n.
-2, 1
Let w(p) be the third derivative of -p**5/80 - 11*p**4/32 + p**2 - 374. Determine y so that w(y) = 0.
-11, 0
Factor 3*u**4 + 3/2*u**2 - 3/4*u**5 - 15/4*u**3 + 0*u + 0.
-3*u**2*(u - 2)*(u - 1)**2/4
Suppose 0 = -50*z - 8 + 108. Let d(k) be the second derivative of -3*k + 0 - 1/3*k**4 + 2*k**3 - 4*k**z. Suppose d(c) = 0. What is c?
1, 2
Let v be (-2 + 2 - -3 - -5) + -4. Suppose 3*x = v*t + 13, -2*t - 1 = 1. Determine i, given that 1/4*i + 1/4*i**4 + 0 - 1/4*i**2 - 1/4*i**x = 0.
-1, 0, 1
Factor 67*w**2 - 19*w**2 + 38*w**3 + 36*w + 8 - 9 + 27*w**2.
(w + 1)**2*(38*w - 1)
Let m be (351/546)/(((-2)/(-4))/(7/21)). Suppose 3/7 + 0*f - m*f**2 = 0. Calculate f.
-1, 1
Let o be (7/2 - 2) + 424/112. Let x = 40/7 - o. Suppose 0 + 6/7*s**2 + 0*s**4 + x*s**5 + 0*s - 9/7*s**3 = 0. Calculate s.
-2, 0, 1
Let c(a) = -7*a**2 + 11*a + 19. Let r be c(6). Let g = -167 - r. Factor 0*b + 2/3*b**3 + g + 0*b**2.
2*b**3/3
Let w(l) be the first derivative of -l**6/840 - l**5/280 + l**4/28 + 7*l**3 - 3. Let r(k) be the third derivative of w(k). Factor r(b).
-3*(b - 1)*(b + 2)/7
Factor -125/4*q + 325/4*q**2 - 1/2*q**5 - 165/4*q**3 + 31/4*q**4 + 0.
-q*(q - 5)**3*(2*q - 1)/4
Let j be 5*(2 - 3)/(-1). Suppose 0*a = 5*k - 4*a + j, k = -2*a + 13. What is f in 32 - 30 + f - 3*f**3 - 2*f**3 - 2*f**2 + 4*f**k = 0?
-2, -1, 1
Let l(q) = -5*q**4 - 6*q**3 - 4*q**2 + 18*q - 11. Let s(j) = -j**4 - j**2 - j + 1. Let f(w) = l(w) - 4*s(w). Factor f(r).
-(r - 1)**2*(r + 3)*(r + 5)
Let j(o) be the second derivative of -o**6/75 - 4*o**5/25 - 13*o**4/30 - 2*o**3/5 + 347*o. Let j(c) = 0. Calculate c.
-6, -1, 0
Let i(x) = -x**3 - 3*x + 7. Let b(m) = -m**3 + m**2 - 4*m + 6. Let k(c) = -7*b(c) + 6*i(c). Factor k(f).
f*(f - 5)*(f - 2)
Suppose -5*d + 5 - 5 = 0. Let r(k) be the third derivative of d + 0*k**5 - 1/72*k**4 + 0*k + 0*k**3 + 1/360*k**6 - 3*k**2. Suppose r(n) = 0. Calculate n.
-1, 0, 1
Let j(o) be the third derivative of -3*o**7/350 - o**6/24 + o**5/50 + 3*o**4/10 - 4*o**3/15 + 55*o**2. Solve j(h) = 0 for h.
-2, 2/9, 1
Let s = 1273 - 1268. Let w(o) be the second derivative of -1/315*o**7 - 1/75*o**s + 0*o**2 + 0*o**4 + 0*o**3 + 5*o + 1/75*o**6 + 0. Factor w(h).
-2*h**3*(h - 2)*(h - 1)/15
Let 0 + 0*a - 24/7*a**3 - 24/7*a**2 + 6/7*a**5 + 6/7*a**4 = 0. Calculate a.
-2, -1, 0, 2
Let u(r) = 2*r**2 - 19*r - 8. Let s be u(10). Solve 4 + 5*x**s + 30*x + 5 - 9 = 0.
-6, 0
Let j(m) be the third derivative of -1/20*m**6 + 16*m**2 + 1/70*m**7 + m**4 + 0 - 3/20*m**5 - 2*m**3 + 0*m. Factor j(z).
3*(z - 2)*(z - 1)**2*(z + 2)
Let i = -48156 + 144475/3. Find x, given that -i*x - 1/3*x**2 - 10/3 = 0.
-5, -2
Let k(z) be the third derivative of -z**6/360 + 37*z**5/540 - 5*z**4/24 + 11*z**3/54 - 70*z**2. Determine m so that k(m) = 0.
1/3, 1, 11
Let d(j) be the second derivative of -14*j - 5/2*j**3 - 5/12*j**4 - 5*j**2 + 0. Factor d(r).
-5*(r + 1)*(r + 2)
Let m be 20 - (-12)/(3/(-1)). Let i = m + -13. Determine q so that 11*q**2 + 3*q**i - q - 5*q**2 + 4*q = 0.
-1, 0
Let r = -72 + 75. Factor 34 + 6 + 30*i**2 + 4279*i**r + 60*i - 4274*i**3.
5*(i + 2)**3
Let n(z) be the third derivative of -z**5/60 - 31*z**4/6 - 1922*z**3/3 - 244*z**2. Determine f, given that n(f) = 0.
-62
Let h = 92 - 88. Let n be (h/3 + 0)*(-27)/(-126). What is y in n*y**2 + 0 + 2/7*y = 0?
-1, 0
Let i be 108/(-45) + (-2)/(-5). Let q be (i/(-28))/((-8)/(5 - 37)). Suppose 2/7 - q*u**2 + 1/7*u - 1/7*u**3 = 0. Calculate u.
-2, -1, 1
Factor -28*y - 49/3 - 1/3*y**4 - 22/3*y**2 + 4*y**3.
-(y - 7)**2*(y + 1)**2/3
Let c(m) = 4*m**3 + 30*m**2. Let q(d) = -d**2. Let i(t) = -c(t) - 2*q(t). Solve i(u) = 0.
-7, 0
Factor -49/6*x**2 + 1/6*x**3 + 0 + 0*x.
x**2*(x - 49)/6
Let a be 24/(-9)*(12/(-16) - 0). Factor -5*p**2 - 3*p + 2*p**a + 3*p**3 - 3*p**4 + 6*p**4.
3*p*(p - 1)*(p + 1)**2
Let j(l) = -8*l**2 + 2*l + 3. Let y be j(-1). Let m(f) = -f**2 - 9*f - 14. Let b be m(y). Solve 1/3*q**2 + b*q - 1/3 = 0 for q.
-1, 1
Let c(w) = -w**3 + 8*w**2 + 2. Let v be c(8). Find g such that -10*g + 0*g**4 + 4*g**4 - 4*g**2 + v*g**5 + 8*g = 0.
-1, 0, 1
Let w be 6/(-11) - (-513)/396. Let w*u**2 + 0 + 1/2*u = 0. Calculate u.
-2/3, 0
Let l = -4 - 28. Let m be l/(-6) + 24/(-6). Factor -m + 10/3*a - 8/3*a**2 + 2/3*a**3.
2*(a - 2)*(a - 1)**2/3
Factor -2/11*d**3 + 16/11 - 28/11*d + 14/11*d**2.
-2*(d - 4)*(d - 2)*(d - 1)/11
Suppose -2*k - 464 = -446. Let o be 27/12 + (27/(-12))/k. Factor 5/2*w**3 + o*w**2 - 5/2*w**4 - 5/2*w + 0.
-5*w*(w - 1)**2*(w + 1)/2
Let l(n) be the second derivative of -n**4/3 - 22*n**3/3 - 60*n**2 + n + 13. Suppose l(j) = 0. Calculate j.
-6, -5
Let r = -4917 - -4918. Factor -1/2*b**2 + 3/2*b - r.
-(b - 2)*(b - 1)/2
Let t be 25/(-40)*-2*12. Factor 7 + 0 - t*u + 5*u**2 + 3.
5*(u - 2)*(u - 1)
Let u be (98/294)/((-1)/(-9)). Let x(o) be the first de