-2*g**5/55 - 3*g**4/22 + 10*g**3/33 + 3*g**2/11 + 10*g - 6. Find w, given that x(w) = 0.
-3, -1/4, 1
Let y(m) be the first derivative of 1/2*m**2 - 1/10*m**4 + 1 + 0*m + 1/75*m**5 + 4/15*m**3. Let p(v) be the second derivative of y(v). Let p(w) = 0. What is w?
1, 2
Suppose 0 = 2*h + 10, -s - 2*h - 26 = -154. Let t be 64/(-240)*s/(-4). Suppose -1/5*f**5 + 11/5*f**4 + 18*f**2 + 27/5 - 81/5*f - t*f**3 = 0. What is f?
1, 3
Factor -2/3*l**3 - 16/3*l**2 - 8*l + 0.
-2*l*(l + 2)*(l + 6)/3
Let c = -3014/15 - -201. Let m(p) be the first derivative of 0*p - 1/4*p**4 + 1/3*p**3 - 1/6*p**2 - 1 + c*p**5. Factor m(h).
h*(h - 1)**3/3
Suppose -94 = -3*m + 74. Factor -4*c**5 + 34*c**2 + 34*c**2 + 24*c**4 - 36*c - 4*c**2 + 8 - m*c**3.
-4*(c - 2)*(c - 1)**4
Let k(h) be the second derivative of h**6/105 - h**5/35 - 10*h**4/21 - 8*h**3/7 - 18*h + 4. Suppose k(x) = 0. Calculate x.
-2, 0, 6
Determine a, given that 8 + 1/3*a**3 + 49/3*a + 26/3*a**2 = 0.
-24, -1
Let h(s) = s**2 - s - 1. Let z = 45 + -25. Let g = z - 22. Let t(x) = -x**3 - 3*x**2 + 3*x + 3. Let a(p) = g*h(p) - t(p). Factor a(y).
(y - 1)*(y + 1)**2
Let u(f) = -3*f**2 + 6*f + 10. Let w be u(-3). Let o = -30 - w. Solve 80/7*i + 32/7 + 40/7*i**3 + 10/7*i**4 + 80/7*i**2 + 1/7*i**o = 0 for i.
-2
Factor -2*z - 6*z**3 - 66 - 6*z**2 + 22 - 2*z**4 + 26 + 18.
-2*z*(z + 1)**3
Let d(u) = 3*u**5 - 3*u**4 - 6*u**3 + 4*u**2 + 4. Let l(h) = -2*h**5 + 3*h**4 + 5*h**3 - 3*h**2 - 3. Let o(n) = -3*d(n) - 4*l(n). Solve o(c) = 0 for c.
-2, -1, 0
Let o(k) = k**5 + k**3 + k**2 - k - 1. Let p(n) = 12*n**5 + 30*n**4 + 64*n**3 + 36*n**2 - 10*n - 10. Let f(u) = 10*o(u) - p(u). Factor f(j).
-2*j**2*(j + 1)**2*(j + 13)
Find a such that 0*a**4 + 10/9*a**3 + 0*a**2 + 0 - 1/9*a**5 - a = 0.
-3, -1, 0, 1, 3
Let g(r) be the first derivative of 2*r**5/25 + r**4/6 - 2*r**3/15 - 3*r**2/5 - 16*r - 15. Let y(f) be the first derivative of g(f). Factor y(o).
2*(o + 1)**2*(4*o - 3)/5
Factor 4 + 8*k**3 - 63/4*k**2 + 5/4*k**4 + 5/2*k.
(k - 1)**2*(k + 8)*(5*k + 2)/4
Let o(x) = -44*x**2 - 364*x - 368. Let b(a) = -9*a**2 - 73*a - 74. Let p(d) = -24*b(d) + 5*o(d). Factor p(y).
-4*(y + 1)*(y + 16)
Let c(b) be the first derivative of -5*b**6/6 - 15*b**5 - 135*b**4/2 + 180*b**3 + 1620*b**2 + 18. Solve c(x) = 0.
-6, 0, 3
Let b(r) be the third derivative of r**7/280 - 3*r**6/160 - 3*r**5/80 + 11*r**4/32 - 3*r**3/4 - 543*r**2. Suppose b(u) = 0. Calculate u.
-2, 1, 3
Let 0 - 1/2*j**3 - 10*j**2 - 19/2*j = 0. Calculate j.
-19, -1, 0
Let g(r) = 3*r**2 + 2*r - 10. Let x be g(2). Find h such that 16 - x*h - 4*h + 2*h + h**2 = 0.
4
Let s(q) be the third derivative of -2/9*q**3 + 11/108*q**4 + 21*q**2 - 1/45*q**6 + 1/135*q**5 + 4/945*q**7 + 2*q + 0 + 1/1512*q**8. Let s(j) = 0. What is j?
-6, -1, 1
Let y(i) be the first derivative of i**6/1080 + i**5/540 - 5*i**4/216 + i**3/18 - 12*i**2 - 31. Let o(j) be the second derivative of y(j). Solve o(f) = 0.
-3, 1
Let h = 28/3 - 9. Let t(i) be the first derivative of -1 - i**2 - h*i**3 - i. Determine f so that t(f) = 0.
-1
Let l(a) be the second derivative of 0*a**3 - 1/390*a**5 + 1/156*a**4 + 0 - 1/2*a**2 - 3*a. Let v(i) be the first derivative of l(i). Factor v(n).
-2*n*(n - 1)/13
Suppose -6*h + 40 - 13 = 3*h. Factor -2/9*b**h + 4/9 + 2/9*b - 4/9*b**2.
-2*(b - 1)*(b + 1)*(b + 2)/9
Let s be 6/(-3)*(-2 + 1)*5. Solve -5*b + 10*b**2 - 3*b**3 + 3*b**3 - s*b**4 + 5*b**5 = 0.
-1, 0, 1
Let z(j) be the first derivative of 4*j**5/5 + j**4 - 4*j**3/3 - 2*j**2 - 69. Factor z(n).
4*n*(n - 1)*(n + 1)**2
Suppose 3 = 5*w - 7. Suppose -7*i + 3*i + 2*i**3 + 2*i + 7*i**w + 2*i**3 = 0. Calculate i.
-2, 0, 1/4
Let i = -129 - -130. Let g be i*(7 + -3) - (-11)/11. Suppose 9/2 + 3*k**2 + 9*k**3 - 21/2*k + 3/2*k**g - 15/2*k**4 = 0. What is k?
-1, 1, 3
Let n(w) be the second derivative of 2*w**6/45 + w**5/3 - w**4/9 - 10*w**3/9 + 259*w - 2. Factor n(v).
4*v*(v - 1)*(v + 1)*(v + 5)/3
Let s(l) be the third derivative of 1/30*l**6 - 1/168*l**8 + 0*l - 1/105*l**7 + 0*l**5 + 0*l**4 + 0*l**3 - 34*l**2 + 0. Let s(g) = 0. Calculate g.
-2, 0, 1
Let g be 3/(((-18)/4)/3). Let l be (-40)/25*5/g. Factor 3*b**4 - 7*b**3 - 3*b - 2*b**3 + 9*b**2 + 0*b**l.
3*b*(b - 1)**3
Suppose d - 2*m = 0, 0 = -5*d + 7*m - 3*m. Let x(g) be the third derivative of -4*g**2 + d - 1/24*g**4 + 0*g + 0*g**3 + 1/180*g**5. Factor x(t).
t*(t - 3)/3
Determine r so that 47*r + 105*r**2 + 17*r + 35*r**2 - 18*r**4 + 8*r**3 - 2*r**4 - 10 - 38 = 0.
-2, -1, 2/5, 3
Let j(i) = 2*i + 2. Let t be j(10). Let d = t + -12. Solve 0*o + d*o**2 - 4*o**2 + 4*o**3 - 6 - o**3 - 3*o = 0 for o.
-2, -1, 1
Let y(q) be the second derivative of -q**6/30 + q**5/20 + q**4/12 - q**3/6 + 10*q. Factor y(k).
-k*(k - 1)**2*(k + 1)
Let b(j) be the second derivative of 5/21*j**3 + 0 + 15*j - 4/7*j**2 - 1/42*j**4. Factor b(c).
-2*(c - 4)*(c - 1)/7
Let m = -1137 + 14787/13. Let 0 + m*g**3 - 2/13*g + 2/13*g**4 - 4/13*g**5 - 2/13*g**2 = 0. Calculate g.
-1, -1/2, 0, 1
Let n(k) be the first derivative of k**4/9 + 4*k**3/27 - 21. Suppose n(z) = 0. Calculate z.
-1, 0
Let i(g) be the third derivative of g**5/120 + 23*g**4/48 + 11*g**3/6 - 459*g**2. Determine x, given that i(x) = 0.
-22, -1
Let x(d) be the first derivative of -d**3/12 + 19*d**2/8 - 35*d/2 + 304. Solve x(v) = 0 for v.
5, 14
Let r = -43 + 42. Let w(d) = 10*d**3 + 20*d**2 - 6*d + 6. Let v(t) = -t**3 + t - 1. Let y(j) = r*w(j) - 6*v(j). Factor y(a).
-4*a**2*(a + 5)
Let y(l) be the third derivative of l**6/150 - 109*l**5/300 + 9*l**4/40 - 89*l**2. Find t such that y(t) = 0.
0, 1/4, 27
Suppose 0 = -1562*p + 1525*p. Factor 0*m - 3/2*m**2 + p - 3*m**3 - 3/2*m**4.
-3*m**2*(m + 1)**2/2
Let r(i) = -54*i**4 + 72*i**3 - 9*i**2 - 18*i + 3. Let t(y) be the second derivative of y**6/30 + y**4/12 - y**2/2 + 9*y. Let b(n) = r(n) + 6*t(n). Factor b(a).
-3*(a - 1)**2*(4*a + 1)**2
Let f(j) = -5*j**4 - j**3 + 4*j**2. Let a(l) = -5*l**4 - 2*l**3 + 3*l**2. Let m = -27 - -23. Let r(t) = m*a(t) + 3*f(t). Factor r(z).
5*z**3*(z + 1)
Let i(m) be the second derivative of 1/15*m**5 + 0 + 10/9*m**3 + 4/9*m**4 - 2*m + 4/3*m**2. Factor i(s).
4*(s + 1)**2*(s + 2)/3
Factor 1/2*y**4 + 0*y - 6*y**2 + 0 + 11/2*y**3.
y**2*(y - 1)*(y + 12)/2
Let m(u) = 5*u**2 + 6*u - 4. Let h(l) = 6*l**2 + 7*l - 5. Let f = -31 + 36. Let q(z) = f*m(z) - 4*h(z). Solve q(b) = 0 for b.
-2, 0
Let q(u) be the first derivative of 2*u**5/3 - 85*u**4/12 + 200*u**3/9 - 40*u**2/3 + 38. Suppose q(z) = 0. What is z?
0, 1/2, 4
Let p(y) be the third derivative of -y**5/210 - 11*y**4/42 - 3*y**2 - 135. Factor p(k).
-2*k*(k + 22)/7
Let x = -181456/9 - -20162. Find j such that 0 - 2/9*j**2 - x*j = 0.
-1, 0
Let l be (-52)/(-10) + ((-9)/(-5) - 2). Let 2*z - 6*z**2 + 10*z - 4*z**3 + l*z**3 - 8 = 0. Calculate z.
2
Let h = 37275 - 186364/5. Factor -4/5*k**2 - h*k + 1/5*k**3 - 6/5.
(k - 6)*(k + 1)**2/5
Suppose 1 = -3*s + 28. Suppose 18*y - 18 = s*y. Determine c so that -15/2*c - y*c**2 + 2 = 0.
-4, 1/4
Let z(u) be the first derivative of -1/60*u**5 + 8 + 1/18*u**3 + 0*u**2 + 0*u**4 - 4*u. Let k(l) be the first derivative of z(l). Factor k(m).
-m*(m - 1)*(m + 1)/3
Suppose 1 + 17/3*z + 7*z**2 - 3*z**3 = 0. What is z?
-1/3, 3
Let a = -10558/5 - -2123. Let -a*f + 33/5*f**2 + 12/5*f**3 + 12/5 = 0. What is f?
-4, 1/4, 1
Suppose -5*o + 5 = -5, 0 = -5*x + 4*o + 42. Let s be (-12)/(-36) - x/66. Solve 8/11 + s*b**2 + 8/11*b = 0.
-2
Suppose -4*d = -2*n, 7*d + 105*n - 10 = 106*n. Factor -d*w**4 - 10/3*w**3 + 0*w + 0 - 4/3*w**2.
-2*w**2*(w + 1)*(3*w + 2)/3
Factor 38*m**4 - 72*m - 2*m**5 - 57*m**2 - 63*m**2 - 26*m**3 - 18*m**4.
-2*m*(m - 6)**2*(m + 1)**2
Let l(i) be the third derivative of i**7/840 - i**6/180 - i**5/40 - 11*i**3/6 - 9*i**2. Let m(s) be the first derivative of l(s). Let m(q) = 0. What is q?
-1, 0, 3
Factor 27648/7 + 3456/7*l + 144/7*l**2 + 2/7*l**3.
2*(l + 24)**3/7
Let j(n) be the second derivative of -n**4/3 + 14*n**3/3 + 60*n**2 - 47*n. What is b in j(b) = 0?
-3, 10
Let n(z) be the first derivative of -z**4/60 - 2*z**3/15 + 9*z - 1. Let m(c) be the first derivative of n(c). Factor m(u).
-u*(u + 4)/5
Suppose -5*o = -w - 15, -5*o = -o - 3*w - 23. Let r be (o/9)/(1/15). Solve 32/9*u + 8/9 + r*u**2 = 0 for u.
-2/3, -2/5
Let s(a) be the second derivative of -a**7/42 - a**6/15 - 39*a + 3. Factor s(n).
-n**4*(n + 2)
Let z be ((-20)/35)/(3/7)*(-