 h**5/15 + 4*h**4/3 - 8*h**3/3 - 192*h**2 - h. Solve w(n) = 0.
-1, 1, 2
Suppose -4*h = 5*x - 55, 0*x + 2*x + 47 = 3*h. Factor -15 - h + 5*f**2 + 25.
5*(f - 1)*(f + 1)
Let k(c) = -c**2 - 41*c - 387. Let t be k(-26). Let 1/2*z**t + 0 + 0*z**2 + 0*z = 0. What is z?
0
Factor -87 - 111 - 134*k**2 + 28 + 22 + 150*k**2 - 588*k.
4*(k - 37)*(4*k + 1)
Suppose -5*h = 5*d - 15, d - 1 - 2 = 4*h. Let x(j) be the second derivative of 0 - 6*j + 1/84*j**4 + 3/14*j**2 + 2/21*j**d. Factor x(z).
(z + 1)*(z + 3)/7
Let w(z) be the third derivative of -z**7/10080 - z**6/720 - z**5/120 + z**4/6 + 12*z**2. Let n(f) be the second derivative of w(f). Let n(v) = 0. Calculate v.
-2
Let y(c) be the first derivative of c**7/28 - 3*c**6/10 + 39*c**5/40 - 3*c**4/2 + c**3 + 27*c - 9. Let u(x) be the first derivative of y(x). Factor u(t).
3*t*(t - 2)**2*(t - 1)**2/2
Let y(l) be the first derivative of 2*l**5/5 + 8*l**4 + 92*l**3/3 - 144*l**2 + 162*l - 185. Solve y(k) = 0 for k.
-9, 1
Determine n so that -45*n**2 + 8*n + 326 + 27*n**2 + n**3 - 322 + 23*n**2 = 0.
-2, -1
Let k be 2/(-4)*(5 - 9). Let l = 15119/9 - 1677. Determine m so that 0 + 4/3*m**5 + 4/3*m**3 - 4/9*m - l*m**4 + 2/3*m**k = 0.
-1/2, 0, 2/3, 1
Let f = -5296 + 47666/9. Factor 0 - f*y**2 - 2/9*y.
-2*y*(y + 1)/9
Let x(d) be the first derivative of -d**4/8 - d**3/6 + 65*d**2/4 + 225*d/2 + 320. Let x(c) = 0. What is c?
-5, 9
Factor 2/7*g**2 - 22/7*g + 0.
2*g*(g - 11)/7
Let h(o) be the second derivative of 18*o - 1/30*o**3 + 1/15*o**4 - 1/210*o**7 - 1/75*o**6 + 1/50*o**5 + 0 - 1/5*o**2. Find a, given that h(a) = 0.
-2, -1, 1
Let 2/5*w**2 - 36/5 + 34/5*w = 0. What is w?
-18, 1
Let a(s) be the third derivative of 1/1380*s**6 - 11/690*s**5 + 1/23*s**4 - 21*s**2 + 0 - 1/3864*s**8 + 0*s - 4/69*s**3 + 1/805*s**7. Let a(q) = 0. Calculate q.
-2, 1, 2
Let j(u) be the third derivative of u**6/240 + 29*u**5/60 - 181*u**4/48 + 61*u**3/6 - 6*u**2 + 5. Factor j(m).
(m - 2)*(m - 1)*(m + 61)/2
Suppose 3*f - 2*h - 7 = 6, -2*f + 3*h = -2. Let w(t) be the first derivative of -7*t**3 - 2 + 3*t**4 + 3*t**2 - f*t**3 + 7*t**3 + 3*t. Factor w(c).
3*(c - 1)**2*(4*c + 1)
Let b be 66/24 - (11*5/20 + -2). Let 0 + 1/5*a - 1/5*a**b = 0. What is a?
0, 1
Let t(m) be the third derivative of m**6/1080 + 4*m**5/135 + 13*m**4/72 - 128*m**2. Suppose t(y) = 0. Calculate y.
-13, -3, 0
Let p(z) = -13*z**2 + 11*z - 34. Let y(r) = 3*r**2 - 3*r + 8. Let b(c) = 4*p(c) + 18*y(c). Factor b(x).
2*(x - 4)*(x - 1)
Let z(a) be the second derivative of -3*a**5/20 + 3*a**4/2 - 5*a**3/2 + 230*a + 1. Factor z(u).
-3*u*(u - 5)*(u - 1)
Let f(j) be the first derivative of -35*j**4/4 - 40*j**3/3 - 5*j**2/2 + 116. Factor f(z).
-5*z*(z + 1)*(7*z + 1)
Let n = -2620 - -2622. Factor 6/5*o + 3/5*o**n - 3/5*o**3 + 0.
-3*o*(o - 2)*(o + 1)/5
Let t = -17 - -22. Solve -t*u**2 + 3*u**3 + 19*u**4 - u**2 - 16*u**4 = 0 for u.
-2, 0, 1
Determine b so that -21/2 - 3*b**2 - 45/2*b = 0.
-7, -1/2
Let m(r) be the third derivative of -r**6/100 + 13*r**5/150 + 8*r**4/15 - 4*r**3/5 + 11*r**2 + 15. Suppose m(q) = 0. What is q?
-2, 1/3, 6
Let d(n) = -3*n + 34. Let r be d(10). Factor -8*p**3 - 6 + 3*p**2 + 7*p + 3*p**r + 2*p - p**3.
3*(p - 2)*(p - 1)**2*(p + 1)
Let m(h) be the first derivative of 6/7*h - 2/35*h**5 - 5 - 4/21*h**3 - 3/7*h**4 + 5/7*h**2 + 1/21*h**6. Let m(x) = 0. What is x?
-1, 1, 3
Let p(z) = -6*z**3 + 5*z**2 - 20*z. Let m(j) = -j**3 - 2*j. Let o(y) = 28*m(y) - 4*p(y). Suppose o(l) = 0. Calculate l.
-6, 0, 1
Let u be ((-12)/14)/((-18)/84). Let k(b) be the third derivative of -2/75*b**6 + 1/25*b**5 - u*b**2 + 0*b + 0*b**4 + 0 - 1/15*b**3 + 1/175*b**7. Factor k(r).
2*(r - 1)**3*(3*r + 1)/5
Suppose g = 2*g. Suppose 3*s - s - 32 = g. Let 102*o**2 + s*o**4 + 2*o - 78*o**2 + 2*o + 36*o**3 = 0. Calculate o.
-1, -1/4, 0
Let n(g) be the second derivative of -1/110*g**5 - 1/22*g**4 + 0 - 5*g + 0*g**2 + 1/33*g**3 + 1/55*g**6. Determine h so that n(h) = 0.
-1, 0, 1/3, 1
Let y(k) = -k**3 + 3*k**2 + 16*k - 33. Let w be y(2). Let 1/3 - 8/3*o + 22/3*o**2 + 17/3*o**4 - 28/3*o**w - 4/3*o**5 = 0. Calculate o.
1/4, 1
Let n(t) be the second derivative of 7*t + 1/42*t**7 + 0*t**4 - 1/10*t**5 + 1/6*t**3 + 0*t**6 + 0*t**2 + 0. Determine x, given that n(x) = 0.
-1, 0, 1
Let l be 2/6 + (-19 - -11) + 8. Factor -4/9*y + 1/9*y**2 + l.
(y - 3)*(y - 1)/9
Let b(f) be the first derivative of f**4/102 + f**3/51 - 2*f**2/17 - 17*f + 16. Let u(n) be the first derivative of b(n). Determine l, given that u(l) = 0.
-2, 1
Let z(h) be the second derivative of 3*h**4 - 13*h**3/2 + 81*h**2/2 + 15*h. Let m(q) = 7*q**2 - 8*q + 16. Let v(p) = -21*m(p) + 4*z(p). Solve v(r) = 0.
2
Find x such that -40*x + 335*x**4 + 1314*x**3 - 8295*x**5 - 240 + 8330*x**5 + 905*x**2 - 309*x**3 = 0.
-4, -1, 3/7
Let y = 0 + 6. Factor -y*g + 2*g - g**2 + 6*g**2 + 180 - 56*g.
5*(g - 6)**2
Let y(d) = d**2 + 4*d + 5. Let f be y(-2). Suppose f = -u + m, 5*m = -7*u + 3*u + 23. Factor -5/4*o**4 + 1/2*o + 0 + 5/4*o**u - 1/2*o**3.
-o*(o - 1)*(o + 1)*(5*o + 2)/4
Let g(l) be the first derivative of l**4 - 8*l**3 + 128*l - 171. Solve g(h) = 0.
-2, 4
Let o(a) be the second derivative of -a**4/6 - 31*a**3/12 + 2*a**2 + 63*a - 3. Factor o(c).
-(c + 8)*(4*c - 1)/2
Let b = 105 + -103. Solve b*m**2 - 105*m + 50*m - 6 + 51*m = 0.
-1, 3
Suppose 18*a = -258 + 4866. Let r be 45/10 - 2/(-4). Factor 4*c**4 + 32*c**3 + 1024/5 + a*c + 1/5*c**r + 128*c**2.
(c + 4)**5/5
Let u = -26337 + 26340. Factor -2/9*v - 2/9*v**u - 4/3 + 8/9*v**2.
-2*(v - 3)*(v - 2)*(v + 1)/9
Suppose 2 = 4*g - 3*a, -4 = -2*g + g - a. Suppose 3*s - g*s = 16. Factor 24*v**2 - 48*v - 4 + 3*v**2 + 27*v**3 + s.
3*(v + 2)*(3*v - 2)*(3*v - 1)
Let b be 2 + 4/(-42)*15. Let s be (-104)/28 - ((4 - -3) + -11). Factor -b*c - 2/7*c**2 - s.
-2*(c + 1)**2/7
Suppose 5*h = -z + 19, -3*h = h + z - 15. Factor 35*k**5 + 489*k - 10*k**3 - 25*k**h - 489*k.
5*k**3*(k - 1)*(7*k + 2)
Let o = -9 - -12. Suppose 0 = -s + 5*y + 22 + o, 3*s - 3*y - 27 = 0. Suppose -u**5 + 3*u**3 + 2*u**2 - 3*u - u - 6*u**2 + 2*u**4 + 0*u**s = 0. What is u?
-1, 0, 2
Suppose 14 = 3*t + 2. Let d(b) be the second derivative of -2/7*b**3 - 9*b + 0 - 8/7*b**2 + 1/21*b**t. Determine h, given that d(h) = 0.
-1, 4
Let i be ((-22)/6 - -2)/(35/(-14)). Factor -2/3*b**4 + 0 - i*b**3 + 0*b + 4/3*b**2.
-2*b**2*(b - 1)*(b + 2)/3
Let z(y) be the third derivative of -3*y**8/2240 + y**7/1680 + y**6/160 - y**5/240 - 9*y**3/2 + 40*y**2. Let u(x) be the first derivative of z(x). Factor u(c).
-c*(c - 1)*(c + 1)*(9*c - 2)/4
Let y(a) = 2*a**2 + 10*a + 4. Let h(o) = o**2 - o + 1. Let z be (4*(-1)/(-2))/2. Let b(q) = z*y(q) - 4*h(q). Factor b(g).
-2*g*(g - 7)
Let a(k) be the first derivative of -5*k**3/3 - 195*k**2/2 - 190*k + 226. Factor a(q).
-5*(q + 1)*(q + 38)
Let o(z) be the first derivative of 5*z**3 + 10*z**2 + 0*z - 16 - 5/4*z**4. Factor o(w).
-5*w*(w - 4)*(w + 1)
Let g = 39536/9 + -4404. Let n = -391/36 - g. Solve n*r**2 - 1/4*r + 0 = 0 for r.
0, 1
Let v(y) be the second derivative of -27*y - 6/5*y**2 + 1/50*y**5 - 1/5*y**4 + 11/15*y**3 + 0. Factor v(f).
2*(f - 3)*(f - 2)*(f - 1)/5
Let d(x) = -x**2 - 5*x + 12. Let s be d(-7). Let q(a) = 8*a**4 - 9*a**3 - 5*a**2. Let l(j) = j**4 - j**3 - j**2. Let h(f) = s*q(f) + 18*l(f). Factor h(t).
2*t**2*(t - 2)*(t + 2)
Let h = -362/3 - -121. Let z(w) be the second derivative of -3*w + 0 - 1/24*w**4 - 1/40*w**5 + h*w**3 + w**2. Determine c so that z(c) = 0.
-2, -1, 2
Let f(c) be the third derivative of 15/8*c**4 + 0*c - 1/21*c**7 - 7/6*c**5 + 6*c**2 + 3/8*c**6 - 5/3*c**3 + 0. Let f(s) = 0. Calculate s.
1/2, 1, 2
Suppose -16 = -8*j + 4*p, 8*j = 4*j + 4*p - 4. Suppose -27/7*q**4 - 69/7*q**3 + 72/7*q + 48/7 - 3*q**2 - 3/7*q**j = 0. Calculate q.
-4, -1, 1
Determine r so that -8/5*r**4 + 98/5*r**2 - 18 + 358/5*r**3 - 358/5*r = 0.
-1, -1/4, 1, 45
Suppose 2*g + 3 - 1 = 0, -g = -i + 21. Let s = i - 15. Factor 8*n - 2*n**4 - s*n + 5*n**4 - 3*n**2 - 6*n**3 + 3*n.
3*n*(n - 2)*(n - 1)*(n + 1)
Let x(c) be the first derivative of 2 - 1/4*c**2 + 1/6*c**3 + 0*c. Factor x(i).
i*(i - 1)/2
Let i(w) = w**3 + 4*w**2 + 7*w + 4. Let r be i(-4). Let v be (-2)/(3 - (-76)/r). Factor 3 + 5 - 2*k**3 - 2*k**3 + v*k.
-4*(k - 2)*(k + 1)**2
Find n, given that 0 - 92/3*n - 4/3*n**3 - 32*n**2 = 0.
-23, -1, 0
Let z(n) = 2 - 3 - 23*n + 17*n. Let o be z(-1). Factor 3*h