20 - 1965*l**4/8 - 983*l**3/2 - 2653*l**2. Solve s(f) = 0.
-1, 983
Solve -219*x + 93*x - 2*x**2 + 142*x = 0.
0, 8
Let 4/15*n**2 + 2/5*n**3 + 2/15*n**4 + 0 + 0*n = 0. What is n?
-2, -1, 0
Let q(j) be the first derivative of -j**3 - 141*j**2/2 + 294*j - 712. What is i in q(i) = 0?
-49, 2
Let q(r) = -r**2 + 3*r + 6. Let d be q(4). Let o be 122/(-8) - (126 + -145). Factor 5 + o*t - 5/4*t**d.
-5*(t - 4)*(t + 1)/4
Suppose 1 = 2*p - p. Let v be -4 - (-2 - 4)/p. Factor -5*i**2 + 3*i**2 + 7*i**2 - 3*i + 7*i**v.
3*i*(4*i - 1)
Let w(p) be the first derivative of -94 + 1/14*p**4 + 11/7*p**2 - 12/7*p - 4/7*p**3. Find y such that w(y) = 0.
1, 2, 3
Let z(p) = -2*p**3 - 14*p**2 - 11*p + 9. Let w be z(-6). Suppose 0*h + 3*i = -4*h + 28, -2*h + 28 = 5*i. Factor 102*o - 102*o + 6*o**w - 3*o**h - 3*o**2.
-3*o**2*(o - 1)**2
Let v = -30782 - -30785. Let m(t) be the third derivative of -1/40*t**6 - 363/8*t**4 - 40*t**2 + 0 + 0*t + 33/20*t**5 + 1331/2*t**v. What is j in m(j) = 0?
11
Let t = -950383/8 - -118798. Factor t*a**2 - 1/4 + 1/8*a.
(a - 1)*(a + 2)/8
Suppose -3*o + 4*o - 3*u = -15, -3*o - 4*u = 84. Let i = -15 - o. Factor -15*t**2 + 6*t**3 - 3*t**3 + i*t**2 + 0*t**3.
3*t**2*(t - 2)
Let h(b) be the third derivative of -b**5/15 + 11*b**4/3 + 50*b**3 + 139*b**2 + 1. Determine u, given that h(u) = 0.
-3, 25
Let t(h) be the first derivative of -133 - 100*h - 395/4*h**2 - 95/3*h**3 + 5/8*h**4. Factor t(v).
5*(v - 40)*(v + 1)**2/2
Let w(z) be the second derivative of -z**7/336 - 19*z**6/120 - 99*z**5/40 - 27*z**4/4 + 10194*z - 2. Solve w(s) = 0 for s.
-18, -2, 0
Let u(b) be the first derivative of b**5/5 - 3*b**4 + 11*b**3 - b**2 - 48*b - 2477. Find l such that u(l) = 0.
-1, 2, 3, 8
Suppose -5*k + 29 - 19 = 0. Let q(a) = 7*a**4 - 20*a**3 + 8*a**2 + 18*a - 15. Let d(y) = -y**4 + y**2 + y. Let l(t) = k*d(t) + q(t). Factor l(o).
5*(o - 3)*(o - 1)**2*(o + 1)
Let k = -199092 + 199094. Determine l so that 96/7*l - 3/7*l**k + 0 = 0.
0, 32
Suppose 26*q + 1465619 = 1465723. Let 30/7 + 18/7*w**q + 9/7*w - 48/7*w**2 - 6/7*w**3 - 3/7*w**5 = 0. What is w?
-1, 1, 2, 5
Let z be (-1)/3 + (-980)/(-2310). Let a(q) be the first derivative of 0*q - 2/33*q**3 - z*q**4 + 0*q**2 - 2/55*q**5 - 13. Factor a(t).
-2*t**2*(t + 1)**2/11
Determine d so that -12*d**2 - 15*d**3 + 10*d**3 - 3 - 3 + 4*d**3 - 4 - 21*d = 0.
-10, -1
Factor -2/7*h**3 + 96/7 + 24/7*h**2 - 88/7*h.
-2*(h - 6)*(h - 4)*(h - 2)/7
Let d(l) = 743*l + 97. Let v be d(2). Let a = v - 1580. Find t, given that 2/7*t + 6/7*t**2 + 0 - 4/7*t**5 - 6/7*t**4 + 2/7*t**a = 0.
-1, -1/2, 0, 1
Suppose 5*g - 5 = -a, -5*a - 156*g + 154*g + 2 = 0. Let c(z) be the third derivative of 15*z**2 + a - 4/3*z**4 - 8/3*z**3 - 1/5*z**5 + 0*z. Factor c(v).
-4*(v + 2)*(3*v + 2)
Suppose -62/9*o**2 - 64/9*o + 2/9*o**3 + 0 = 0. Calculate o.
-1, 0, 32
Let c(k) be the third derivative of -26*k**5/15 - k**4/24 + 1541*k**2. What is t in c(t) = 0?
-1/104, 0
Let v(f) = -f**3 + 3*f + 2. Let j be v(-2). Let p(m) = 7*m**2 - 4. Let o be p(-2). Find x such that -17*x**2 + 35*x + 10 - o*x**2 - j*x**2 = 0.
-2/9, 1
Suppose 12*o - 9*o + 30 = 2*c, 4*c - 3*o = 36. Let r(h) be the second derivative of 1/4*h**5 - 35/6*h**c + 5/3*h**4 - 25*h**2 + h + 0. Factor r(g).
5*(g - 2)*(g + 1)*(g + 5)
Let m(h) = 3*h**2 - 32*h - 328. Let l(o) = 7*o**2 - 63*o - 657. Let v = -41 - -37. Let w(c) = v*l(c) + 9*m(c). Factor w(i).
-(i + 18)**2
Let c be 12/(-24) - (-11)/(330/75). Factor 0 + 18/7*y**3 + 4/7*y + 2/7*y**5 + 10/7*y**4 + c*y**2.
2*y*(y + 1)**3*(y + 2)/7
Suppose 2*i - 2*l = -342, -96 = 3*i + 5*l + 457. Let h be (9 - 2) + 1200/i. Factor 0*q**2 - h*q**5 + 0*q**4 + 2/11*q**3 + 0*q + 0.
-2*q**3*(q - 1)*(q + 1)/11
Let w(v) = -v**2 - v - 1. Let s be 1/2 - (-6)/4. Let t(y) = -3 - y**3 - 4*y**2 + 2367*y - 2372*y - y**2. Let z(u) = s*t(u) - 4*w(u). Let z(o) = 0. Calculate o.
-1
Let k(t) = -12*t**3 + 203*t**2 - 942*t + 1312. Let j(p) = -12*p**3 + 204*p**2 - 942*p + 1308. Let r(q) = 2*j(q) - 3*k(q). Let r(c) = 0. Calculate c.
11/4, 4, 10
Determine d so that -d**2 + 374*d + d**3 + 2*d**3 - 332*d - 44*d**2 = 0.
0, 1, 14
Let f(a) be the first derivative of a**6/36 + 2*a**5/15 - a**4/8 - 7*a**3/9 - 2*a**2/3 + 378. Factor f(h).
h*(h - 2)*(h + 1)**2*(h + 4)/6
Let i(k) be the first derivative of -69*k**5/10 - 87*k**4/8 + 109*k**3/2 - 117*k**2/4 - 27*k - 3212. Determine p so that i(p) = 0.
-3, -6/23, 1
Factor 135/2*p**2 + 285/2*p - 5/2*p**3 + 145/2.
-5*(p - 29)*(p + 1)**2/2
Let m be 979/165 - 9/15. Let r(g) be the first derivative of m*g**3 + 6*g**2 + g**4 - 13 + 0*g. Suppose r(c) = 0. What is c?
-3, -1, 0
Let b(w) be the second derivative of -20*w**3 + 0*w**2 + 0 + 175*w + 41/4*w**4 - 3/20*w**5. Find t such that b(t) = 0.
0, 1, 40
Factor -3360 - 1462*p + 1116*p - 4*p**3 + 158*p**2 - 1430*p + 86*p**2 - 1336*p.
-4*(p - 42)*(p - 20)*(p + 1)
Determine k, given that 0 + 2/3*k**4 + 0*k - 44*k**2 - 130/3*k**3 = 0.
-1, 0, 66
Let o(l) be the first derivative of 45/4*l**4 - 20/3*l**3 - 16 - 30*l**2 + 0*l + 5/6*l**6 + 6*l**5. Find a such that o(a) = 0.
-3, -2, 0, 1
Let f(v) be the first derivative of 5*v**8/2016 - 11*v**7/252 + 5*v**6/72 - 92*v**2 + 172. Let i(y) be the second derivative of f(y). Factor i(j).
5*j**3*(j - 10)*(j - 1)/6
Suppose 3*c - 42 = -27. Solve 35*a**4 - 10*a**c + 18*a + 14*a - 22*a**3 + 39*a**4 + 10*a**4 - 84*a**2 = 0 for a.
-1, 0, 2/5, 1, 8
What is p in 124*p - 869/7 + 1/7*p**2 = 0?
-869, 1
Determine z so that -261*z - 294*z**2 - 80*z**3 - 44*z**3 - 2*z**3 - 81 + 5*z**4 - 14*z**4 + 3*z**5 = 0.
-3, -1, 9
Let u(i) be the second derivative of -i**8/4480 - i**7/336 - i**6/60 - i**5/20 + 19*i**4/4 + 99*i. Let t(r) be the third derivative of u(r). Factor t(h).
-3*(h + 1)*(h + 2)**2/2
Let y(a) = -a**3 - 16*a**2 - 15*a + 4. Let r be y(-15). Factor 165 + 52*h + 143 - r*h**3 - 356.
-4*(h - 3)*(h - 1)*(h + 4)
Let a(c) be the second derivative of -1/120*c**6 - 2*c**2 - 3/2*c**3 + 90*c - 7/12*c**4 - 9/80*c**5 + 0. Factor a(l).
-(l + 1)*(l + 2)**2*(l + 4)/4
Let g(c) be the first derivative of -1/24*c**3 - 5/48*c**4 + 6 + 0*c**2 + 3*c. Let q(n) be the first derivative of g(n). Determine m, given that q(m) = 0.
-1/5, 0
Suppose 787*v - 809*v = -44. Suppose -3*g + w - v = -10, -w = -1. Factor -1/11*l**g - 1/11 - 3/11*l - 3/11*l**2.
-(l + 1)**3/11
Let t be (-8)/10*50/(-20). Suppose 0*i + 30 = 6*i. Find o, given that -i*o**2 + 4*o**3 - 11*o**3 - 2*o - 4*o**t = 0.
-1, -2/7, 0
Let i(h) = -11*h**2 + 5 - 6*h**2 + 3*h**4 - 7*h + 10*h**4 - h**4. Let v(n) = 11*n**4 - 16*n**2 - 6*n + 5. Let f(z) = -6*i(z) + 7*v(z). Let f(p) = 0. What is p?
-1, 1
Let 2/9*h**5 + 22/3*h**3 + 0 - 60*h**2 + 32/9*h**4 + 0*h = 0. What is h?
-10, -9, 0, 3
Let n(q) = 3*q**4 + 20*q**3 + 96*q**2 + 100*q - 2. Let t(p) = 4*p**4 - p**3 - 2. Let g(w) = -n(w) + t(w). Determine a, given that g(a) = 0.
-2, 0, 25
Let j be (-3685)/(-1175) + (-36)/(-564). Find s, given that -4/5*s**4 + 108/5 - 144/5*s + 24/5*s**2 + j*s**3 = 0.
-3, 1, 3
Let r(k) be the first derivative of -73 - 1/2*k**3 - 15*k**2 - 57/2*k. Factor r(v).
-3*(v + 1)*(v + 19)/2
Factor 314*z**2 + 196/5*z**4 + 222/5*z + 5663/10*z**3 + 0.
z*(7*z + 2)**2*(8*z + 111)/10
Let x(w) be the first derivative of -w**6/150 + w**4/20 + w**3/15 - 26*w - 51. Let b(n) be the first derivative of x(n). Factor b(z).
-z*(z - 2)*(z + 1)**2/5
Let g(b) be the third derivative of 0 - 1/12*b**5 - 5/3*b**4 - 35/6*b**3 + 2*b + b**2. Determine z so that g(z) = 0.
-7, -1
Let j(s) be the third derivative of -s**7/1050 - 3*s**6/200 - s**5/20 + 5*s**4/24 - 2343*s**2. Factor j(g).
-g*(g - 1)*(g + 5)**2/5
Determine k, given that 63/4 - 3*k**3 - 19/2*k**2 - 1/4*k**4 - 3*k = 0.
-7, -3, 1
Let a be (-396)/176 + 51/20. Let s(i) be the third derivative of 3/2*i**4 + 0*i + a*i**5 + 1/40*i**6 + 4*i**3 - i**2 + 0. Solve s(u) = 0.
-2
Let h(o) = -5*o**3 - 49*o**2 + 55*o + 54. Let l(m) = 143*m**2 - 2*m**3 - 84*m**2 + 18*m + 18 - 75*m**2. Let c(u) = -6*h(u) + 17*l(u). Let c(s) = 0. What is s?
-1/2, 3
Let l = -42/13 - -656/195. Let s(r) be the second derivative of -l*r**4 + 3/50*r**5 - 10*r - 4/15*r**3 + 2/75*r**6 - 1/105*r**7 + 0 + 0*r**2. Factor s(m).
-2*m*(m - 2)**2*(m + 1)**2/5
Let i(n) be the second derivative of n**5/300 + n**4/120 - 6*n**2 - 2*n. Let q(h) be the first derivative of i(h). Factor q(o).
o*(o + 1)/5
Let r(s) be the third 