y**r - 5*y**3 + 4*y**3 + 3*y**3 - 8*y**3.
-4*y**2*(y + 14)
Let n = -2847647/5 - -569531. Factor 26/15*o**2 - n*o - 4/5*o**3 + 2/15*o**4 + 8/15.
2*(o - 2)**2*(o - 1)**2/15
Let j(o) = 11*o**2 - 260*o - 267. Let t be j(-1). Let q = 2 - 0. Determine z, given that 4*z + 1/4*z**5 - 3/2*z**t + 6*z**q + 0 + 1/4*z**3 = 0.
-1, 0, 4
Let q(x) be the third derivative of x**7/105 - 19*x**6/60 + 11*x**5/10 + 19*x**4/12 - 34*x**3/3 + 1138*x**2 + x + 2. Suppose q(n) = 0. What is n?
-1, 1, 2, 17
Let b(p) = 3 - 7 - 1 - 9*p - 19. Let x be b(-3). Solve 0 + 27/5*d - 3*d**x - 9/5*d**2 - 3/5*d**4 = 0.
-3, 0, 1
Determine h, given that -4139*h**2 - 92*h**3 - 8649/2 - 1/2*h**4 + 8556*h = 0.
-93, 1
Let n be (32/6)/(-36*(-671)/3294). Factor 30/11*z + 8/11*z**2 - n.
2*(z + 4)*(4*z - 1)/11
Factor -90*s + 289*s**4 - 189 + 102*s**2 + 289*s**4 - 6*s**2 - 581*s**4 - 6*s**3.
-3*(s - 3)**2*(s + 1)*(s + 7)
Suppose -7*t + 23*t = 6*t. Let w(p) be the third derivative of t*p - 1/150*p**5 - 1/900*p**6 + 0*p**4 - 23*p**2 + 0 + 0*p**3. Factor w(i).
-2*i**2*(i + 3)/15
Let v be ((-104)/18)/((-4)/(2826/90 + -19 + -10)). Factor -10/3*x + 2/15*x**2 - v.
2*(x - 26)*(x + 1)/15
Let q = 31106 + -31104. Suppose 8/15*y**3 + 8/15*y + 2/15 + 2/15*y**4 + 4/5*y**q = 0. Calculate y.
-1
Suppose 954 = -5*w + 364. Let d = 172 + w. Determine a so that d*a + 26*a + 320 - 17*a**2 + 22*a**2 = 0.
-8
Let q(y) be the second derivative of -5/28*y**4 + 15/7*y**2 + 0 + 53*y + 23/14*y**3. Factor q(z).
-3*(z - 5)*(5*z + 2)/7
Factor 0 + 25/4*y + 1/8*y**2.
y*(y + 50)/8
Let v(b) be the second derivative of 8*b + 0*b**3 + 0*b**4 + 0 + 1/105*b**5 + 6*b**2. Let m(a) be the first derivative of v(a). Factor m(y).
4*y**2/7
Let n(m) be the second derivative of -m**4/78 + 200*m**3/39 - 591*m**2/13 + 452*m + 1. Suppose n(x) = 0. What is x?
3, 197
Let q(m) = -2*m**2 - 1270*m + 49730. Let g be q(-672). Let s be ((-1)/4)/((-3)/20). What is o in 1/3*o**2 + s + g*o = 0?
-5, -1
Let p(q) be the first derivative of q**6/3 - 26*q**5/5 + 3*q**4 + 356*q**3/3 - 7*q**2 - 330*q - 11753. Determine k so that p(k) = 0.
-3, -1, 1, 5, 11
Let i(b) be the third derivative of -b**6/240 + 71*b**5/120 + 1134*b**2. Solve i(j) = 0.
0, 71
What is a in 67/4*a**2 + 71 - 1/4*a**3 + 70*a = 0?
-2, 71
Let m(l) = l**2 - l + 30. Let d = 237 + -204. Let p(x) = 9*x**2 - 6*x + 240. Let w(o) = d*m(o) - 4*p(o). What is s in w(s) = 0?
-5, 2
Suppose -3*i + 2*i + 4 = 0. Suppose -i*a - 12 = -7*a. Let 13*g**4 + 0*g**2 + 4*g**2 + 6*g**3 - 9*g**a - 2*g**4 = 0. Calculate g.
-2, -1, 0
Let j = -28 - -40. Suppose 0 = -2*s + 2*l + 14, -5*l = s + 35 - j. Factor -4 - 3*h**s + 10 - 6 + 9*h.
-3*h*(h - 3)
Solve 75/2*f**2 + 0*f + 0 - 147/4*f**3 - 3/4*f**4 = 0.
-50, 0, 1
Let c(i) be the first derivative of 3*i**5/10 - 885*i**4/8 + 11097*i**3 - 48399*i**2 + 63948*i - 3345. Find y, given that c(y) = 0.
1, 2, 146
Let h = -484 + 532. Let l be h/(-28)*119/(-85). Factor -2/5*g**4 + 0 + l*g - 4/5*g**3 + 2*g**2.
-2*g*(g - 2)*(g + 1)*(g + 3)/5
Suppose 4*a - 44 = t, 0 = -2*t - 5*a + 1659 - 1591. Factor -25/3*i**2 - t - 40/3*i.
-(5*i + 2)*(5*i + 6)/3
Let m(v) be the second derivative of v**4/12 - 259*v**3/6 - 261*v**2 - 725*v. Factor m(j).
(j - 261)*(j + 2)
Factor -367*c + 159*c + 156*c + 96 + 2*c**2.
2*(c - 24)*(c - 2)
Let g(a) be the third derivative of -a**5/15 - 86*a**4/3 + 346*a**3/3 + 46*a**2 - 3. Factor g(k).
-4*(k - 1)*(k + 173)
Let m = -4427 + 4430. Determine v so that -8/3 + 10*v**2 - 8*v - 8/3*v**m = 0.
-1/4, 2
Let w be 146/((7 - 5) + 0). Let b = w - 215/3. Factor -2/3*p**2 - b + 2*p.
-2*(p - 2)*(p - 1)/3
Suppose -a + 4 = -2*v, -7*a = -10*a + 2*v + 4. Let c = 1092 - 1090. Factor a + 1/5*r**c - 1/5*r.
r*(r - 1)/5
Factor -16/9*c + 4/9*c**3 - 56/9*c**2 + 224/9.
4*(c - 14)*(c - 2)*(c + 2)/9
Let v(s) be the second derivative of 0*s**2 - 1/25*s**5 + 149*s + 16/15*s**4 + 0 - 2*s**3. Suppose v(k) = 0. What is k?
0, 1, 15
Let v(y) be the first derivative of -137 - 1315/16*y**4 + 5290*y**2 + 6095/12*y**3 + 12167*y + 13/4*y**5 - 1/24*y**6. Factor v(h).
-(h - 23)**3*(h + 2)**2/4
Let d be (4 + (-56)/12)*-42. Solve d*s + 8*s**2 + 22 + 9 - 19 = 0 for s.
-3, -1/2
Let z = -2556 - -2559. Let h(q) be the first derivative of 1 - 2/3*q**z + 0*q + 4*q**2. Factor h(l).
-2*l*(l - 4)
Suppose 9*r - 3*r = 12. Let v be 9/8*7936/744*(-2)/(-10). Suppose -144/5*u**3 + 0 + 102/5*u**4 + 78/5*u**r - 24/5*u**5 - v*u = 0. What is u?
0, 1/4, 1, 2
Let t = 1000 - -465. Let x = t + -21967/15. Factor 42*w**2 - 122/15*w**3 + x*w**4 - 230/3*w + 50/3.
2*(w - 5)**3*(4*w - 1)/15
Let i be -112*-17*(-32)/(-6528). Factor 8/3*x - i*x**2 - 16/3*x**3 + 0.
-4*x*(x + 2)*(4*x - 1)/3
Let g be 5 - ((-19)/114)/((-2)/(-3)). Let z = -874 - -3499/4. Solve z*c**3 + g*c**2 + 45/4*c + 27/4 = 0.
-3, -1
Let w = 7/57716 - -577097/519444. Determine c so that -w - 2/9*c**2 + 4/3*c = 0.
1, 5
Let h = 13579/2458 - 30/1229. Find p, given that 1/4*p**5 + 3/4 + 7/4*p**4 + 13/4*p + 9/2*p**3 + h*p**2 = 0.
-3, -1
Suppose 5*j - 18 = m, 3*j - 33 = 3*m - 3. Let k be ((-8)/10)/(m/60). Let 0*s**2 + 2*s**4 - k*s**2 - 3*s**3 + 2*s**2 + s**3 = 0. Calculate s.
-1, 0, 2
Let g(o) be the second derivative of -o**6/360 - 2*o**5/15 + 17*o**4/24 + 9*o**3/2 - o**2/2 - 84*o. Let n(x) be the second derivative of g(x). Factor n(h).
-(h - 1)*(h + 17)
Let u(g) = g**5 - 1. Let w(j) = -33*j**4 + 28*j**2 - 5160*j + 5184*j - 2 - 20*j**3 - 2 + 5*j**4. Let b(x) = -4*u(x) + w(x). Determine v so that b(v) = 0.
-6, -1, 0, 1
Let k(r) = 51*r + 667. Let h be k(-13). Let o(u) be the second derivative of -27/10*u**2 - 7/20*u**h + 0 - 3/2*u**3 - 3/100*u**5 - 30*u. Factor o(n).
-3*(n + 1)*(n + 3)**2/5
Let o(j) = -9*j**2 - 41*j - 8. Let q be (-17 - -16) + (-1 - -6). Let u(m) = -m**2 + m - 2. Let z(f) = q*u(f) - o(f). Factor z(h).
5*h*(h + 9)
Let y = 176/5 + -2817/80. Let u = 311/720 - y. Factor -u*c + 0 + 2/9*c**2.
2*c*(c - 2)/9
Suppose -2*r - r - 15 = 0. Let d be (6/r)/((-6)/15). Let -75*b**5 + 48*b**d + 12*b**2 + 7*b**4 + 2*b**4 + 6*b**4 = 0. Calculate b.
-2/5, 0, 1
Let p(y) = -y**3 + 25*y**2 + 25*y + 16. Let t be p(26). Let g = t - -35. Factor -10*l**4 + 4*l**5 - 48*l**2 - g*l**4 + 56*l**3 + 16*l + 11*l**4 - 4*l**3.
4*l*(l - 2)**2*(l - 1)**2
Find j such that -115*j - 72*j - 82*j - 2*j**2 - 69*j - 76*j = 0.
-207, 0
Suppose 0 = 37*t - 32*t - 5*y + 95, 0 = -4*y + 20. Let r be (t/(-35))/(-6 + 168/20). Factor r*z**4 + 1/6*z**2 + 1/2*z - 1/2*z**3 - 1/3.
(z - 2)*(z - 1)**2*(z + 1)/6
Let k(m) = -m**3 + 234*m**2 + 16*m - 3744. Let a be k(234). What is g in -5/2*g**2 - 3/2*g**4 + a + 7/2*g**3 + 1/2*g = 0?
0, 1/3, 1
Let w(p) be the second derivative of p**5/60 - 17*p**4/12 + 32*p**3/3 - 94*p**2/3 + 14*p + 2. Factor w(r).
(r - 47)*(r - 2)**2/3
Let l(v) be the second derivative of 17*v**7/294 + 271*v**6/105 + 53*v**5/2 - 2423*v**4/21 + 6001*v**3/42 - 289*v**2/7 - 7*v - 404. Find j, given that l(j) = 0.
-17, 2/17, 1
Let v be (-19 - 0) + 6 + 5. Let h(r) = 2. Let f(n) = 4*n**2 - 64*n + 16. Let o(z) = v*h(z) + f(z). Solve o(k) = 0 for k.
0, 16
Let q(u) be the first derivative of u**3/18 - 83*u**2 + 41334*u - 446. Factor q(n).
(n - 498)**2/6
Let m be (92/12)/((-4)/(-12)). Suppose -40*k = -m - 57. Determine v so that -6/7*v**k - 6/7 + 1/7*v**3 + 11/7*v = 0.
1, 2, 3
Factor 1/3*o**4 - 15*o**3 + 15*o + 43/3*o**2 - 44/3.
(o - 44)*(o - 1)**2*(o + 1)/3
Let s be 0 + 4 - (1 - 2). Suppose -16*i + 608 = 560. What is x in 3*x + 3*x**3 - 4*x**s - x**5 + x**5 + 18*x**i + 17*x**2 + 3*x**4 = 0?
-1, -1/4, 0, 3
Let a(b) be the third derivative of b**5/80 - 181*b**4/16 + 32761*b**3/8 + 678*b**2. Factor a(d).
3*(d - 181)**2/4
Suppose -11*o + 68 = -9*o. Suppose -2*r + o = -3*f, -r + 24 = -f + 3*f. Factor -5*n**3 + 12 - 45*n - 12 + 30*n**2 + r.
-5*(n - 4)*(n - 1)**2
Suppose -5*b = -14*x + 9*x - 385, 5*b - 425 = -3*x. Suppose -24*i + 14 = -b. Factor 0*k**2 - 1/4*k**i + 0*k + 0 + 1/4*k**3.
-k**3*(k - 1)/4
Let t be (-12)/15*(8 + 7). Let x be (-210)/(-48) + -1*(-3)/t. What is z in 3/4 + 27/8*z**2 + x*z = 0?
-1, -2/9
Let r(q) be the second derivative of q**7/14 - 3*q**6/10 - 9*q**5/10 + 2*q**4 + 2*q + 178. Suppose r(g) = 0. What is g?
-2, 0, 1, 4
Let w = -5694 - -5697. Let s(m) be the first derivative of 0*m + 2/21*m**w - 1/7*m**2 - 4. Factor s(g).
2*g*(g - 1)/7
Let b(s) be the second derivative of s**4/12 + s**3/6 - s**2/2 + 43*s. Let 