- i*y**2 - 12*y + 2*y**2 = 0.
-1, 0, 6
Factor -51842*z - 484141*z**2 - 7562*z**4 - 1372 + 361/2*z**5 + 210673/2*z**3.
(z - 14)**3*(19*z + 1)**2/2
Suppose 0*t + 5*t = 95. Suppose 4*p - 20 = -4*u, 0*u = 5*u + 3*p - t. Factor -352*l**u + l**4 + 350*l**2 + l**4 + l + 6*l**3 - 7*l.
2*l*(l - 1)*(l + 1)*(l + 3)
Let v(b) be the third derivative of b**6/90 - 23*b**5/12 + 43*b**4/36 + 4156*b**2. Suppose v(x) = 0. Calculate x.
0, 1/4, 86
Let w(g) be the first derivative of 16/9*g**6 - 92/3*g**3 - 18 + 0*g - 112/5*g**5 + 16/3*g**2 + 337/6*g**4. Suppose w(z) = 0. What is z?
0, 1/4, 2, 8
Factor 7/3*j**2 + 1210/3 + 4237/3*j.
(j + 605)*(7*j + 2)/3
Let a be (6 + 155/(-20))*(-16 - 0). Suppose 5*w + 4*q - a = 2*q, 3*w - 24 = -3*q. Let 12*y**2 + 4*y**3 + 95*y**4 - w*y - 49*y**4 - 8 - 50*y**4 = 0. Calculate y.
-1, 1, 2
Let f(m) be the third derivative of -m**6/240 - 3*m**5/5 + 235*m**4/48 + 125*m**3/2 - m**2 + 39*m - 4. Factor f(n).
-(n - 5)*(n + 2)*(n + 75)/2
Let c(j) = 155*j**3 + 64440*j**2 + 12547980*j + 815636295. Let n(u) = -7*u**3 - 2929*u**2 - 570363*u - 37074377. Let g(t) = 2*c(t) + 45*n(t). Factor g(h).
-5*(h + 195)**3
Let o(r) be the second derivative of 2*r**7/21 + 26*r**6/15 - r**5/5 - 265*r**4/3 + 384*r**3 - 648*r**2 - 3*r + 485. Solve o(u) = 0 for u.
-9, 1, 2
Suppose -d = -p - 21, -3*d + 44 + 22 = -4*p. Let c(l) be the first derivative of -d - 1/7*l**2 + 1/21*l**3 + 1/7*l. Factor c(m).
(m - 1)**2/7
Let s = -461186/7 - -65884. Let x = -122 + 856/7. Find k, given that s - 4/7*k + x*k**2 = 0.
1
Let l = -40 - -43. Find b such that 1282 - 4*b**3 - l*b**4 - b**4 + 12*b**2 + 20*b - 1274 = 0.
-1, 2
Solve 0 - 537/5*w + 3/5*w**2 = 0 for w.
0, 179
Let a(o) be the second derivative of -o**6/120 - 3*o**5/8 - 67*o**4/12 - 91*o**3/4 + 845*o**2/8 - 2*o + 221. Factor a(r).
-(r - 1)*(r + 5)*(r + 13)**2/4
Let g(k) be the second derivative of -k**4/36 - 4*k**3 - 216*k**2 - 12*k. Factor g(h).
-(h + 36)**2/3
Let t = -25713/55 + 5213/11. Factor -6/5*s**2 + 52/5*s - t.
-2*(s - 8)*(3*s - 2)/5
Let o(q) be the first derivative of 0*q - 1/20*q**4 - 89 + 0*q**2 + 2/15*q**3. Factor o(n).
-n**2*(n - 2)/5
Suppose -k + 2 = -3*l - 3*k, 0 = 3*l + 5*k + 5. Let r(d) be the first derivative of 11 + 1/14*d**4 - 2/7*d**3 + l*d + 0*d**2. Factor r(t).
2*t**2*(t - 3)/7
Let h(w) be the first derivative of w**3/27 - 3332*w**2/9 + 11102224*w/9 + 9425. Factor h(k).
(k - 3332)**2/9
Let b(l) be the second derivative of l**5/40 + 29*l**4/24 - 8*l**3/3 - 15*l**2 - 2*l + 2064. What is w in b(w) = 0?
-30, -1, 2
Let d be 6/70*32480/13920. Determine u so that 0 - d*u + 1/10*u**2 - 1/10*u**4 + 1/5*u**3 = 0.
-1, 0, 1, 2
Let s(q) be the third derivative of -q**8/112 - 17*q**7/25 - 1977*q**6/100 - 1269*q**5/5 - 7965*q**4/8 + 2025*q**3 - q**2 - 136*q. Solve s(j) = 0 for j.
-15, -3, 2/5
Let k = 46957 - 27745. Factor -4*j**4 + k*j**5 - 19211*j**5 + 6*j**3 - j**4.
j**3*(j - 3)*(j - 2)
Let j(l) = l**3 + 27*l**2 - 64*l + 66. Let z(v) = -v**3 + v**2 - 4*v - 6. Let m(c) = -j(c) - 3*z(c). Suppose m(q) = 0. Calculate q.
1, 2, 12
Let v be (-57)/6 + 990/(-264) - -14. Find g such that -51/4 + v*g**2 - 12*g = 0.
-1, 17
Suppose 7*p + 5*d + 41 = 0, -872*d + 33 = -875*d. Factor -1/2*n**4 + 75/2 - 40*n + 4*n**3 - n**p.
-(n - 5)**2*(n - 1)*(n + 3)/2
What is u in 54*u**4 + 38384/3*u**2 + 16224 + 24752*u + 2344*u**3 + 1/3*u**5 = 0?
-78, -2
Let z = 14465/43 - 100739/301. Factor z + 4/7*x - 12/7*x**2 - 4/7*x**3.
-4*(x - 1)*(x + 1)*(x + 3)/7
Let c(a) be the second derivative of -a**4/24 - 53*a**3/12 - 215*a**2/2 + 49*a + 7. Let c(h) = 0. What is h?
-43, -10
Let a be (-4 - -5) + (-1 - 3) - -3. Suppose 3*i - 11 = -y, 5*i + a*y - 17 = -y. Factor -1/4*o**i + 0*o**2 + 0 + 1/4*o.
-o*(o - 1)*(o + 1)/4
Let b be 360/(-560)*(-42)/54. Factor 1/4*a + 0 + 1/4*a**3 + b*a**2.
a*(a + 1)**2/4
Let j(b) be the first derivative of b**3/21 - 68*b**2/7 + 4624*b/7 - 1268. Factor j(f).
(f - 68)**2/7
Let p(j) be the first derivative of j**4/14 - 1412*j**3/21 - 1415*j**2/7 - 1416*j/7 + 872. Find f, given that p(f) = 0.
-1, 708
Let -54/5*p**3 - 56/15*p**2 + 0*p - 14/15*p**5 - 8*p**4 + 0 = 0. Calculate p.
-7, -1, -4/7, 0
Let n(x) = -10*x**4 + 19*x**3 - 106*x**2 + 109*x. Let u(p) = -9*p**4 + 21*p**3 - 108*p**2 + 114*p. Let y(z) = 6*n(z) - 7*u(z). Factor y(h).
3*h*(h - 4)**2*(h - 3)
Let w = -1452 - -1457. Let t(p) be the second derivative of -1/10*p**w - 1/3*p**3 + 0*p**2 + 16*p - 3/10*p**6 + 0 + 2/21*p**7 + 3/4*p**4. Solve t(y) = 0.
-1, 0, 1/4, 1, 2
Let v(m) be the first derivative of -13 + 14*m + 0*m**3 + 0*m**2 + 1/15*m**4. Let q(r) be the first derivative of v(r). Suppose q(z) = 0. Calculate z.
0
Suppose p = 0, -516 = -d - d + 3*p. Factor 106*z**2 + 378*z**2 + 100 - d*z - 182*z.
4*(11*z - 5)**2
Let l(k) be the second derivative of k**4/36 - 389*k**3/18 + 129*k**2 - 8*k - 117. Factor l(a).
(a - 387)*(a - 2)/3
Factor -50*q + 306*q - 11*q**2 + 9*q**2 - 190*q + 494*q - 39200.
-2*(q - 140)**2
Suppose -1779 = -18*t - 375. Factor 79*p**3 - 6*p**2 - 19*p**2 + 40 - 162*p**3 + t*p**3 - 10*p.
-5*(p - 1)*(p + 2)*(p + 4)
Let g(r) be the second derivative of r**7/280 - r**6/120 - r**5/40 + r**4/8 - 7*r**3/3 + 24*r. Let o(a) be the second derivative of g(a). Factor o(i).
3*(i - 1)**2*(i + 1)
Let w(g) = 18*g**3 - 27*g**2 - 42*g + 21. Let a(c) = -52*c**3 + 76*c**2 + 123*c - 62. Let m(p) = 6*a(p) + 17*w(p). Find u such that m(u) = 0.
-5/2, 1
Let v = 1842 + -1838. Suppose -3*u + 0 - 5 = -5*q, u + v*q = 4. Factor -2*h**3 + 40/11*h**2 + 8/11*h + u.
-2*h*(h - 2)*(11*h + 2)/11
Factor -654/5*t**2 - 2288/5*t + 14/5*t**3 - 120.
2*(t - 50)*(t + 3)*(7*t + 2)/5
Let d(y) = 2*y**2 - y - 4. Let r(p) = -5*p**2 + 798*p - 158396. Let c(i) = 2*d(i) + r(i). Determine l, given that c(l) = 0.
398
Let w(d) be the first derivative of -1/3*d**4 + 20*d - 6 + 12*d**2 + 2/3*d**3. Let r(y) be the first derivative of w(y). Determine p, given that r(p) = 0.
-2, 3
Let q = 54521/5 + -10903. Let b(a) be the first derivative of 3/2*a**4 + 23 - 2/3*a**3 + 1/3*a**6 - q*a**5 + 0*a**2 + 0*a. Factor b(o).
2*o**2*(o - 1)**3
Solve 60*j**4 + 580*j - 392 - 112*j**4 + 53*j**4 + 19*j**3 - 15*j**3 + 39*j**3 - 282*j**2 = 0.
-49, 2
Suppose -18*o + 13*o + 990 = 3*u, -o = u - 332. Factor 283*p**2 - u*p**2 + 372*p**2 + 51 + 304*p - 100*p**3 + 13.
-4*(p - 4)*(5*p + 2)**2
Let p be (6/(-8))/(2/(-8)). Suppose 5*h + 4*j + 6 = 0, 0 = -5*h + j + p*j + 26. Determine d, given that 10*d**2 - 2*d**h - 14*d**2 - 2*d**4 - 6*d**3 - 2*d = 0.
-1, 0
Let x be (-5)/((4/28)/(-1)). Let s = x - 23. Factor 5*j**3 + j**4 + 5*j**2 + 4*j - 3*j**3 - s*j**2.
j*(j - 1)**2*(j + 4)
Let v(r) be the second derivative of r**6/40 - r**5/4 + 3*r**4/4 + 65*r**2/2 - 14*r + 2. Let x(q) be the first derivative of v(q). What is l in x(l) = 0?
0, 2, 3
Let p(z) = 2*z**4 + 23*z**3 + 39*z**2 + 40*z - 16. Let c(y) = -6*y**4 - 67*y**3 - 117*y**2 - 120*y + 41. Let l(w) = 4*c(w) + 11*p(w). Factor l(s).
-(s + 2)**2*(s + 3)*(2*s + 1)
Let q be (2/(-114))/((-3)/(-9)) - ((-3492)/(-76) + -46). Let z be (3 - 1)*(-2)/(-5). Suppose q - z*j - 2/5*j**2 = 0. Calculate j.
-2, 0
Factor -292*n + 28*n**2 - 171*n - 2080 + 142*n - 151*n + 4*n**3.
4*(n - 10)*(n + 4)*(n + 13)
Suppose 3*s + 11 - 29 = 0. Suppose 50 - 32 = s*z. Find a such that a + 0 - 3/2*a**2 + 1/2*a**4 + 0*a**z = 0.
-2, 0, 1
Let p = -38 - -41. Factor -f**2 + 0*f**p - 70*f - 14*f**2 - 5*f**3 - 30*f**2.
-5*f*(f + 2)*(f + 7)
Let z be (-486)/(-14) - -8*2/56. Factor 1130*y + 206 + 18 + 35 + z*y**2 - 1 + 62.
5*(y + 32)*(7*y + 2)
Suppose 204 = 17*m + 39*m - 20. Let d(s) be the second derivative of -1/4*s**2 + 1/8*s**3 - 1/80*s**5 + 0 + 4*s + 0*s**m. Factor d(r).
-(r - 1)**2*(r + 2)/4
What is z in 98185*z**2 - 1315*z**4 - 111337*z**2 - 142521*z**2 - 5*z**5 - 254800*z - 101732*z**2 - 88415*z**3 - 84500 = 0?
-130, -1
Let d(v) be the first derivative of -26/3*v**3 + 13*v**4 - 14/5*v**5 - 6*v**2 + 225 + 0*v. Suppose d(u) = 0. What is u?
-2/7, 0, 1, 3
Let c = 195/28 + -21/4. Suppose 4*i + 3*l = 11, -21*i + 87 - 42 = 3*l. Factor -40/7*r - c - 24/7*r**3 - 48/7*r**i - 4/7*r**4.
-4*(r + 1)**3*(r + 3)/7
Let g = -66588 - -732472/11. Factor -1/11*s**4 - 4/11*s**3 + g*s + 3/11 - 2/11*s**2.
-(s - 1)*(s + 1)**2*(s + 3)/11
Suppose 14912*f = 14914*f - 4*w - 2, 3*w = -4*f + 15. What is j in -3/2*j**2 + 3/4*j**4 + 0*j + 3/4 + 0*j**f = 0?
-1, 1
Let