or h(d).
5*(d - 1)*(d + 1)**3*(d + 6)
Let n = -9496/5 + 1900. Factor 2/5*l**3 - n*l - 2/5*l**2 + 0.
2*l*(l - 2)*(l + 1)/5
Let f(l) be the first derivative of -2*l**6/3 + 96*l**5/5 - 104*l**4 + 712*l**3/3 - 270*l**2 + 152*l + 628. Factor f(p).
-4*(p - 19)*(p - 2)*(p - 1)**3
Suppose -3*p = 4 + 2. Let d be p + 4/16 + 30/8. Factor 1/2*l**d + 0 + l.
l*(l + 2)/2
Find p such that -128*p**2 + 12*p**4 + 45780*p**5 - 45776*p**5 + 28*p**4 - 512*p + 96*p**3 = 0.
-4, 0, 2
Suppose 2*r + 836 = 842. Let h(z) be the third derivative of -4/3*z**r + 0 + 3*z**2 + 0*z - 1/30*z**5 + 1/3*z**4. Determine t so that h(t) = 0.
2
Factor -277*k - 24*k**3 + 257*k - 80 + 60*k**2 + 5*k**4 + 59*k**3.
5*(k - 1)*(k + 2)**2*(k + 4)
Let o = -83 - -416/5. Suppose 1/5*s + 1/10*s**2 - o*s**3 + 0 - 1/10*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let b(j) be the first derivative of -j**5/45 - j**4/9 + 11*j**3/27 - j**2/3 - 273. Find w, given that b(w) = 0.
-6, 0, 1
Let s = -4395/2 + 2245. Factor -s*p**4 + 75/2*p**3 + 0 - 5*p + 35/2*p**5 - 5/2*p**2.
5*p*(p - 1)**3*(7*p + 2)/2
Let z(c) be the third derivative of -c**6/200 + 41*c**5/100 + 21*c**4/20 + 909*c**2. Factor z(a).
-3*a*(a - 42)*(a + 1)/5
Let f(r) be the first derivative of -5/4*r**4 + 15 + 10/3*r**3 + 15/2*r**2 + 0*r. Factor f(b).
-5*b*(b - 3)*(b + 1)
Let v(m) be the first derivative of 0*m**2 + 0*m - 2/15*m**3 + 3/25*m**5 + 3/20*m**4 - 1/15*m**6 + 5. Find u, given that v(u) = 0.
-1, 0, 1/2, 2
Let m(t) be the first derivative of -t**4/12 + t**3/6 + t**2 + 3*t + 5. Let w(q) be the first derivative of m(q). Factor w(z).
-(z - 2)*(z + 1)
Determine v, given that 9 - 124*v + 9*v**2 - 48 + 274*v - 36*v = 0.
-13, 1/3
Factor -13/3*g + 0*g**2 + 1/3*g**3 + 4.
(g - 3)*(g - 1)*(g + 4)/3
Let w(t) = -2*t**2 + 13*t - 3. Let h be w(6). Factor -6*o**3 + 0 - o**4 - 2*o**4 + h + 6*o.
-3*(o - 1)*(o + 1)**3
Let k(g) be the second derivative of -2/15*g**6 + 0 + 0*g**3 - 1/5*g**5 + 2/21*g**7 + 1/3*g**4 + 11*g + 0*g**2. Find z, given that k(z) = 0.
-1, 0, 1
Suppose 0 = 6*x - 9*x - 33. Let u = x - -15. Determine r, given that 1597*r**4 + 348*r - 56*r**u + 3645*r**3 + 646*r**4 + 1782*r**2 + 24 = 0.
-1, -2/9
Let z(j) = j**2 - 2*j + 5. Let s be z(3). Suppose -s*h = -4*h + 3*h. Suppose 1/5*b**3 + h + 0*b**2 + 0*b = 0. What is b?
0
Suppose -3*w + 77 = -25. Factor -9*d - 6*d + 31*d**2 - w*d**2 + 3*d.
-3*d*(d + 4)
Let n(f) = 7*f**3 - 37*f**2 - 5*f. Let h(y) = 4*y**3 - 19*y**2 - 3*y. Let b(a) = -5*h(a) + 3*n(a). Factor b(x).
x**2*(x - 16)
Let t = 1421 + -1418. Let i(n) be the second derivative of 4*n - 4*n**2 + 2/3*n**t + 0 - 1/5*n**5 + 2/3*n**4. Factor i(f).
-4*(f - 2)*(f - 1)*(f + 1)
Factor -78/7*v - 3/7*v**2 - 507/7.
-3*(v + 13)**2/7
Let f(a) be the first derivative of 5/2*a**4 + 0*a**5 - 11 - 5/6*a**6 + 0*a**3 - 5/2*a**2 + 0*a. Factor f(r).
-5*r*(r - 1)**2*(r + 1)**2
Let f = 289 - 282. Let n(b) be the third derivative of -1/630*b**f + 0*b**3 + 1/180*b**5 + 0 + 1/180*b**6 + 4*b**2 + 0*b - 1/36*b**4. Factor n(g).
-g*(g - 2)*(g - 1)*(g + 1)/3
Let q be ((-68)/(-663))/((-42)/(-91)). Solve -8/9*w**3 - 2/3*w**2 + 8/9 + 8/9*w - q*w**4 = 0 for w.
-2, -1, 1
Let i(d) be the third derivative of 2*d**7/315 + d**6/9 + 37*d**5/45 + 10*d**4/3 + 8*d**3 - 456*d**2. Let i(s) = 0. Calculate s.
-3, -2
Solve -10/9*o**2 - 2/9*o**4 - 10/9*o + 4/3 + 10/9*o**3 = 0.
-1, 1, 2, 3
Let v be 12/(-8)*(-3 + 1). Let f = v - 1. Solve -2*y**4 + 5*y**4 - 6*y**3 + y**2 - 4*y**f + 6*y = 0 for y.
-1, 0, 1, 2
Let y(t) be the first derivative of 1/10*t**2 - 2/15*t**3 + 1/150*t**6 - 1/25*t**5 - 5 + 1/10*t**4 + 2*t. Let z(b) be the first derivative of y(b). Factor z(v).
(v - 1)**4/5
Find i, given that -3/8*i**2 - 5/4*i + 1 = 0.
-4, 2/3
Suppose -2*w + 2463 = 2453. Let a(h) be the second derivative of 0 + 11*h + 1/40*h**6 + 1/16*h**4 - 1/12*h**3 + 0*h**2 + 1/10*h**w. Factor a(b).
b*(b + 1)*(b + 2)*(3*b - 1)/4
Let o be (-1)/((-35)/(-5))*(-2)/(-1). Let g = o - -20/21. Find w such that g*w + 2/9*w**2 + 4/9 = 0.
-2, -1
Suppose -k + 4*i - 2 = 0, -4*k - 5*i = -12 - 1. What is q in -2*q**4 + 3*q**4 + 7*q**3 + q - q**3 + 4*q**k + 3*q**4 + q**5 = 0?
-1, 0
Let s be (-42)/(-231) - ((-186)/(-22))/(-3). Let d be 0 + 1 - 160/(-140). Solve -d*f**2 - 12/7 + 24/7*f + 3/7*f**s = 0 for f.
1, 2
Let k(b) be the third derivative of 1/10*b**5 + 0*b - 1/3*b**4 - 4/3*b**3 + 0 + 1/15*b**6 + 1/105*b**7 + 18*b**2. Let k(y) = 0. What is y?
-2, -1, 1
Suppose 0 = -9*m - 272*m. Solve 3/4*s**4 + m*s + 0 + 9/2*s**3 + 27/4*s**2 = 0.
-3, 0
Let v(s) be the third derivative of s**7/525 - s**6/150 - 2*s**5/75 + s**4/30 + s**3/5 + 297*s**2. Let v(q) = 0. Calculate q.
-1, 1, 3
Let c(b) be the second derivative of b**4/66 - 14*b**3/33 + 24*b**2/11 + b + 38. Factor c(v).
2*(v - 12)*(v - 2)/11
Let r(n) = n**3 - 4*n**2 - 3*n + 13. Let z be r(4). Let k be (5 - (3 - -2))/(z - -1). Factor -8/3*b**4 + 0*b**2 + k + 4/3*b**3 + 0*b - 5/3*b**5.
-b**3*(b + 2)*(5*b - 2)/3
Let w(j) = -9*j**2 - 15*j - 1. Let n be w(-1). Factor 0*i + 1/2*i**n - 1/2*i**3 + 1/2*i**4 - 1/2*i**2 + 0.
i**2*(i - 1)*(i + 1)**2/2
Suppose 0 = 8*c - 5*c - 15. Suppose 0*k = c*k + 3*y - 16, 10 = 4*k + y. Factor -k - 2*r - r**2 + 2.
-r*(r + 2)
Let q be 48/20 + (-6)/(-10). Suppose -4*f**4 - 4*f**q + 337*f**2 - 337*f**2 = 0. Calculate f.
-1, 0
Let r(g) be the third derivative of g**8/1176 - 8*g**7/735 + g**6/21 - 8*g**5/105 - g**2 + 2. Suppose r(n) = 0. Calculate n.
0, 2, 4
Let h(w) be the second derivative of -1/10*w**4 - 22/5*w**3 + 22*w - 363/5*w**2 + 0. Factor h(n).
-6*(n + 11)**2/5
Let s(o) be the first derivative of 2*o + 0*o**3 - 21 - o**4 + 2*o**2 - 2/5*o**5. Suppose s(h) = 0. What is h?
-1, 1
Let q(d) = 8*d**4 + 6*d**3 + 4*d**2 - 30*d. Let f(r) = r**4 + r**2 - 2*r. Let s(m) = 18*f(m) - 2*q(m). Factor s(y).
2*y*(y - 4)*(y - 3)*(y + 1)
Let t = -95 + 100. Let k = -19/4 + t. Factor -1/8 - k*g**3 + 1/8*g**4 + 1/4*g + 0*g**2.
(g - 1)**3*(g + 1)/8
Let w(g) = -g**2 - 30*g - 189. Let x be w(-21). Let s(q) be the third derivative of 0*q + 0 + x*q**3 - 4*q**2 - 1/48*q**4 + 1/120*q**5. Solve s(v) = 0 for v.
0, 1
Let u be (4*3/(-6))/2. Let m(x) = 4*x**2 - 2*x - 1. Let a be m(u). Find g such that 1 - 2*g**4 - a*g + 0*g**5 + 4*g**3 - 3 + 3*g + 4*g**2 - 2*g**5 = 0.
-1, 1
Let i(v) be the third derivative of -v**6/24 - v**5/2 - 15*v**4/8 - 10*v**3/3 - 120*v**2. Solve i(l) = 0 for l.
-4, -1
Let q = 10480 - 62879/6. Factor q*i**5 + 3*i**2 - 9/2 - 9/2*i + 13/3*i**3 + 3/2*i**4.
(i - 1)*(i + 1)*(i + 3)**3/6
What is u in -8/3*u + 1/3*u**2 + 0 = 0?
0, 8
Let u(c) = -6*c + 14. Let o be u(-3). Factor 39*x + 21*x - 98 - 2*x**2 - o*x.
-2*(x - 7)**2
Suppose 1527*y = 1534*y - 21. Let d(k) be the third derivative of -1/210*k**7 + 1/30*k**6 + 0 + 0*k + 0*k**4 - 1/15*k**5 + 0*k**3 - y*k**2. Factor d(f).
-f**2*(f - 2)**2
Suppose -25/2*y - 1/2*y**5 + 4*y**4 - 20*y**2 - 3*y**3 + 0 = 0. Calculate y.
-1, 0, 5
Let t(i) be the third derivative of 13*i**6/60 - 73*i**5/75 + 7*i**4/15 + 8*i**3/15 + 72*i**2. Solve t(h) = 0.
-2/13, 2/5, 2
Let h be -15 - -18 - 35/65. Determine j, given that 0*j - h*j**3 + 8/13*j**5 - 8/13*j**2 + 0 + 2/13*j**4 = 0.
-2, -1/4, 0, 2
Let i = 345 - 345. Let w(z) be the third derivative of i + 5/9*z**4 + 10*z**2 + 0*z + 1/60*z**6 - 7/45*z**5 - 8/9*z**3. Factor w(r).
2*(r - 2)**2*(3*r - 2)/3
Let y be (0/(-3))/(-2 - -4). Let i(v) be the third derivative of 0*v**5 + 0*v**4 + 1/350*v**7 + y*v + 0*v**3 - 1/600*v**6 + 4*v**2 + 0. Factor i(w).
w**3*(3*w - 1)/5
Let v(g) be the first derivative of -g**7/2520 - g**6/360 + g**5/360 + g**4/24 - 22*g**3/3 - 39. Let k(p) be the third derivative of v(p). Solve k(o) = 0 for o.
-3, -1, 1
Let s(u) be the second derivative of u**6/24 - 5*u**4/24 + 15*u**2 + 19*u. Let x(k) be the first derivative of s(k). Determine c so that x(c) = 0.
-1, 0, 1
Let q be (-160)/60*(-117)/6. Suppose -56*g = -q*g. Factor 2/5*l**2 + 0*l + 1/5*l**3 + g.
l**2*(l + 2)/5
Let h = 273 - 197. Suppose 84 = 4*s + h. Factor 1/2*j**3 - j**s + 0 + 0*j.
j**2*(j - 2)/2
Let m = -5241 - -5241. What is z in -1/4*z**2 + m*z + 3/4*z**3 + 0 = 0?
0, 1/3
Let d be 0 + -2 + (0 + -18)/(-3). Suppose 0 = -d*j - 0*j + 16. Factor -1/7*s**j + 0 - 4/7*s**2 - 4/7*s**3 + 0*s.
-s**2*(s + 2)**2/7
Let q(f) be the first derivative of 2*f**3/9 + f**2/3 - 4*f/3 - 70. Suppose q(h) = 0. Calculate h.
-2, 1
What is s in -10/3 + 11/3*s - 