a - 2)
Let a = -763 + 3821/5. Determine o so that 0 - 8/5*o**2 - a*o = 0.
-3/4, 0
Factor 2*y**3 + 173 - 18*y - 173.
2*y*(y - 3)*(y + 3)
Let w = -20/361 - -421/1083. Suppose 4/3*b**4 + 4/3*b**3 - 2/3*b - b**2 + w = 0. Calculate b.
-1, 1/2
Let i(r) = r**3 - 5*r**2 + 6*r - 6. Let n be i(4). Suppose -3*u + 26 = 3*a + 2*a, -40 = -4*u - 4*a. Factor 8*g**3 - 12*g**3 + 0*g**3 + 12*g**n + 4 - u*g.
-4*(g - 1)**3
Let v = 581/1725 + -2/575. Let o(k) be the second derivative of -7*k + 1/6*k**4 + 0*k**2 + 0 - v*k**3. Factor o(n).
2*n*(n - 1)
Let c(y) be the third derivative of -5/4*y**4 + 0*y + 15/2*y**3 + 0 + 1/12*y**5 - 8*y**2. Factor c(l).
5*(l - 3)**2
Let b(y) = 5*y**3 - 15*y**2 - 3*y. Let v(j) = -j. Suppose 1 = 21*s - 20*s. Let x(n) = s*b(n) - 3*v(n). Factor x(h).
5*h**2*(h - 3)
Let t(l) be the first derivative of l**3/36 - 61*l**2/12 + 3721*l/12 + 67. Factor t(m).
(m - 61)**2/12
Let m be 819/(-104) + 4 + 5. Factor -3/8*r**5 + 9/4*r**3 + 33/8*r + m - 3/8*r**4 + 21/4*r**2.
-3*(r - 3)*(r + 1)**4/8
Let n be (511/49)/(-1 - (-27)/7). Let r = -13/4 + n. Factor -7/5*m**2 + 4/5*m + r*m**3 + 4/5.
(m - 2)**2*(2*m + 1)/5
Let f(m) be the second derivative of -m**5/5 - 2*m**4 - 6*m**3 - 8*m**2 - 25*m. Factor f(o).
-4*(o + 1)**2*(o + 4)
Solve -16/13*a - 2/13 + 2/13*a**2 + 16/13*a**3 = 0.
-1, -1/8, 1
Solve -3/2*f**2 - 9/4*f + 0 = 0 for f.
-3/2, 0
Suppose 19 = -2*v - 5*d, -4*v + d + 2*d = -27. Let u be (17/(-3) + 3)*v/(-12). Suppose 0*l - 4/3*l**4 + 2/3*l**5 + u*l**3 + 0 + 0*l**2 = 0. What is l?
0, 1
Determine z so that 6/17*z**4 + 6/17 + 2/17*z + 2/17*z**5 - 12/17*z**2 - 4/17*z**3 = 0.
-3, -1, 1
Let i(u) be the first derivative of 0*u - 3*u**3 + 9/4*u**4 - 3*u**2 + 6/5*u**5 - 30. Factor i(v).
3*v*(v - 1)*(v + 2)*(2*v + 1)
Let t(u) be the third derivative of u**6/60 + u**5/15 - 2*u**4/3 - 133*u**2. Factor t(i).
2*i*(i - 2)*(i + 4)
Let n(x) be the second derivative of x**4/24 + x**3/6 - 3*x**2/4 - 24*x. Suppose n(h) = 0. What is h?
-3, 1
Let g(d) = -15*d**2 + 8*d + 4. Let b be g(-2). Let k = b + 72. Solve t**2 + k*t**3 + 0*t - 1/2 - 1/2*t**4 = 0.
-1, 1
Let u = -6/7 - -51/35. Let s(r) be the first derivative of 4 + r**3 - 5/4*r**4 - u*r**5 + 2/3*r**6 + 1/2*r**2 + 0*r. Factor s(k).
k*(k - 1)**2*(k + 1)*(4*k + 1)
Let z(o) be the third derivative of o**8/28 - 8*o**7/15 + 43*o**6/30 + 18*o**5/5 - 38*o**4/3 - 112*o**3/3 + 151*o**2. Suppose z(v) = 0. Calculate v.
-1, -2/3, 2, 7
Let r = 11204/5 - 2239. Factor 3/5*c - r + 9/5*c**2 - 3/5*c**3.
-3*(c - 3)*(c - 1)*(c + 1)/5
Suppose 2*q = q, 2*q = -3*k - 21. Let r be 1/10*(k - -9). Factor 3/5*y**3 + 1/5*y**5 + 0*y - r*y**2 + 0 - 3/5*y**4.
y**2*(y - 1)**3/5
Let l(d) be the second derivative of -d**5/20 + d**4/12 + d**3 - 5*d - 1. Solve l(r) = 0.
-2, 0, 3
Let u be (-2 - (-56)/26) + (-4)/26. Let d(l) be the second derivative of u*l**2 + 0 - 1/3*l**3 + 1/6*l**4 - 4*l. What is b in d(b) = 0?
0, 1
Let y(n) = 7*n**2 + 2*n - 1. Let i be y(-2). Suppose -3 = 4*b - i. Solve -3*o**5 + o + 16*o**2 - 2*o**4 + 2*o**b - 14*o**2 = 0 for o.
-1, 0, 1
Let c(g) be the first derivative of 5*g**3/3 + 55*g**2/2 + 50*g + 249. Find f such that c(f) = 0.
-10, -1
Let z(c) be the third derivative of -c**5/105 + 8*c**4/21 + 891*c**2. Factor z(a).
-4*a*(a - 16)/7
Let v = -43/6 - -313/42. Let q be (-2432)/(-133) + -21 + 5. Suppose -17/7*x - 40/7*x**2 - v - q*x**3 = 0. What is x?
-2, -1/4
Let w(a) = 9*a**2 - 39*a + 3. Let y(s) = 11*s**2 - 39*s + 4. Let z(x) = 4*w(x) - 3*y(x). Solve z(q) = 0.
0, 13
Let t be (5 - 0) + (-8 + 8 - 215). Let n = t - -212. Factor 15/2*a**4 + 0*a + 0 - 5/2*a**5 - 15/2*a**3 + 5/2*a**n.
-5*a**2*(a - 1)**3/2
Let j(a) = a**3 + 11*a**2 + 3. Let h be j(-11). Let d(s) be the second derivative of 1/40*s**5 + 0*s**2 + 0 - 1/24*s**4 + 0*s**h - 6*s. Factor d(k).
k**2*(k - 1)/2
Let b(g) be the second derivative of 0 - 16*g + 1/72*g**4 - 1/9*g**3 + 1/4*g**2. Factor b(f).
(f - 3)*(f - 1)/6
Suppose 0 = -1385*c + 1395*c. Suppose -10/3*x + 4*x**2 + c - 2/3*x**3 = 0. What is x?
0, 1, 5
Factor -6*f - 20/3 + 2/3*f**2.
2*(f - 10)*(f + 1)/3
Factor 6/7*z**3 - 1/7*z**4 - 5/7*z**2 - 24/7*z + 36/7.
-(z - 3)**2*(z - 2)*(z + 2)/7
Let v = -128 + 131. Factor 2/5*f**2 - 2/5*f**v + 2*f + 6/5.
-2*(f - 3)*(f + 1)**2/5
Let u(h) be the third derivative of h**6/240 - 71*h**5/60 + 263*h**2 + 1. Solve u(j) = 0.
0, 142
Factor 22/3*z**3 + 137/3*z**2 + 140/3*z + 1/3*z**4 - 100.
(z - 1)*(z + 3)*(z + 10)**2/3
Let g = -1343 + 1345. Let i(w) be the second derivative of 0*w**4 + 0 + 1/6*w**3 - 5*w - 1/60*w**5 - 1/3*w**g. Find f such that i(f) = 0.
-2, 1
Let k = -1661/6 + 277. Let h(p) be the second derivative of 0*p**2 + 0 + 1/12*p**6 + 7/24*p**4 - 5*p - k*p**3 - 1/84*p**7 - 9/40*p**5. Factor h(o).
-o*(o - 2)*(o - 1)**3/2
Suppose 0 = 16*j - 169 - 87. Let l be 17/4 + (j - 20). Factor l*q**2 - 1/4 + 0*q.
(q - 1)*(q + 1)/4
Determine d so that -49/2*d**5 + 34*d**2 - 39/2*d**3 + 0 - 84*d**4 - 6*d = 0.
-3, -1, 0, 2/7
Let z(i) be the third derivative of -2*i**7/105 - i**6/5 - 11*i**5/15 - i**4 - 112*i**2. Factor z(o).
-4*o*(o + 1)*(o + 2)*(o + 3)
Let f(a) be the first derivative of 5 - 320/3*a - 55/12*a**4 - 40/3*a**2 + 20*a**3 + 1/3*a**5. Determine h, given that f(h) = 0.
-1, 4
Let u(b) = 14*b**3 - 28*b**2 + 24*b - 8. Let s(t) = -t**4 - 56*t**3 + 111*t**2 - 95*t + 32. Let x(c) = 4*s(c) + 18*u(c). What is p in x(p) = 0?
1, 4
Suppose -2/3*i**4 - 32/3*i**3 - 8/3*i**2 + 0*i + 0 + 14*i**5 = 0. Calculate i.
-2/3, -2/7, 0, 1
Let p be (-9)/(9/3)*(-232)/(-12). Let i = p + 117/2. Solve 1/4*r + 1/4*r**2 - i = 0 for r.
-2, 1
Let u(f) be the second derivative of f**8/1344 - 5*f**7/672 + 7*f**6/288 - f**5/32 - 20*f**3/3 - 27*f. Let l(t) be the second derivative of u(t). Factor l(d).
5*d*(d - 3)*(d - 1)**2/4
Suppose -5 = -2*s - q, -15 = -6*s + 2*s + 3*q. Suppose -s*y + 293 = 287. Suppose -2/9*c**y + 0 + 0*c = 0. What is c?
0
Let i(m) = 16*m**3 + 294*m**2 + 1416*m + 486. Let l(c) = -16*c**3 - 294*c**2 - 1418*c - 486. Let r(b) = 7*i(b) + 6*l(b). Factor r(y).
2*(y + 9)**2*(8*y + 3)
Suppose -20 = -2*k - 4*w, w - 1 = 2*w. Suppose v - 3*t + 5 + 5 = 0, 0 = 3*t - k. Suppose -g**v - 7*g**3 - 2*g + 19*g**2 - 7*g**3 - 2*g = 0. What is g?
0, 2/7, 1
Let v be ((-32)/(-6))/(10/15). Let s(q) be the first derivative of -v*q + 23*q**2 - 3*q**3 - 3 - 33*q**2 - q**3. Factor s(m).
-4*(m + 1)*(3*m + 2)
Let t(u) be the second derivative of 10*u + 9/8*u**2 - 5/48*u**4 + 1/8*u**3 + 0 + 1/80*u**5. Determine g, given that t(g) = 0.
-1, 3
Let q(f) = 3*f**2 + 46*f + 113. Let t be q(-3). Factor 4/7*a - 4/7 - 1/7*a**t.
-(a - 2)**2/7
Let d(f) be the second derivative of -21/10*f**6 - 57/5*f**5 + 141/4*f**4 + 0 - 11*f - 12*f**3 - 30*f**2. Solve d(x) = 0 for x.
-5, -2/7, 2/3, 1
Let r(v) be the first derivative of 1/21*v**6 - 11 + 4/21*v**3 + 0*v**4 + 0*v - 1/7*v**2 - 4/35*v**5. Solve r(g) = 0 for g.
-1, 0, 1
Let z = 3431/3 + -1133. Let w be 1 + -1 - (-10)/3. Solve w*i**4 - 2 + 8/9*i**5 + z*i - 8/3*i**3 - 92/9*i**2 = 0 for i.
-3, 1/4, 1
Let b be (243/(-216))/(3/(-154)). Let h(o) be the first derivative of 0*o + 5 + b*o**4 - 147/5*o**5 + 6*o**2 - 32*o**3. Factor h(x).
-3*x*(x - 1)*(7*x - 2)**2
Let y(n) be the second derivative of -n**8/2240 + n**7/210 + 11*n**6/240 + 3*n**5/20 + 17*n**4/12 + 21*n. Let q(j) be the third derivative of y(j). Factor q(f).
-3*(f - 6)*(f + 1)**2
Suppose -5*q - 2 - 8 = i, -27 = -3*i + 4*q. Solve w**4 + 26*w**3 - 4*w + 28*w**2 - 70*w**3 + i*w**4 + 14*w**4 = 0 for w.
0, 1/5, 1
Let t = -482 - -482. Let j(q) be the first derivative of 9/2*q**4 + t*q - 12*q**2 - 69/5*q**5 + 28*q**3 + 5 + 7/2*q**6. Suppose j(v) = 0. Calculate v.
-1, 0, 2/7, 2
Suppose 47*y + 197/2*y**2 - 7*y**4 + 6 + 97/4*y**3 = 0. Calculate y.
-2, -2/7, -1/4, 6
Let g = -3 + 7. Suppose g*t - 6 = t. Let 3*z**3 - 6*z + 5*z - 6*z**3 - 3*z**t + z**4 - 2*z**4 = 0. What is z?
-1, 0
Suppose -7474*l + 7510*l - l**4 + 13*l**3 - 15*l**2 - 33*l**2 = 0. What is l?
0, 1, 6
Let d(t) be the third derivative of -1/390*t**6 + 1/2184*t**8 + 0*t**7 + 0*t**5 - 23*t**2 + 0 + 0*t + 1/156*t**4 + 0*t**3. Factor d(k).
2*k*(k - 1)**2*(k + 1)**2/13
Let q be -1 - ((-544)/(-80) - 11). Factor -12/5*k - q - 2/5*k**2.
-2*(k + 2)*(k + 4)/5
Let c(q) be the third derivative of -q**6/300 - 3*q**5/50 - 11*q**4/60 + 7*q**3/5 + 726*q**2. Factor c(u).
-2*(u - 1)*(u + 3)*(u + 7)/5
Let b = 