0. Factor 0 + 3*s**4 + 0*s**2 + 0*s - 3/4*s**5 - 3*s**n.
-3*s**3*(s - 2)**2/4
What is z in -3783522*z**2 - 6*z + 3783521*z**2 - 21*z = 0?
-27, 0
Suppose -15*c + 20*c - 50 = 5*v, 13*v = 10*v - 24. What is i in -7*i**c + 65/4*i**3 - 25/2*i**4 + i + 0 = 0?
0, 2/5, 1/2
Let x(p) be the first derivative of -p**5/100 + p**4/20 - p**2 + 5*p - 62. Let m(q) be the second derivative of x(q). Factor m(l).
-3*l*(l - 2)/5
Suppose 10/9*x - 2/9*x**3 + 0 - 8/9*x**2 = 0. What is x?
-5, 0, 1
Let r(m) = -2*m**2 - 16*m - 28. Let p be r(-4). Determine u so that -24799*u**3 + 24819*u**3 - p*u**4 + 3*u**2 - 35*u**2 + 16*u = 0.
0, 1, 2
Let i = 80905 - 323609/4. Determine f, given that -21/8 - i*f - 1/8*f**2 = 0.
-21, -1
Let w(m) be the second derivative of m**4/84 - 25*m**3/42 + 6*m**2 + 4616*m. Determine x so that w(x) = 0.
4, 21
Let r(y) = 3067 - 72*y - 3067. Let o be r(-2). Factor 65*f - o - 26*f**2 - 26*f**2 + 4*f**3 + 127*f + 0*f**3.
4*(f - 6)**2*(f - 1)
Let x = 953 + -971. Let c be 6 + (208/x)/2 + 0. Determine a so that -4/9*a - 2/9 - c*a**2 = 0.
-1
Factor 10/7*l**3 + 114/7*l + 28*l**2 + 0.
2*l*(l + 19)*(5*l + 3)/7
Let n be -4 + 4 + -32 + (-3 - 1). Let p be (-3)/(-8) + n/(-96). Factor 3*s**3 - 3/4 + 3*s - 9/2*s**2 - p*s**4.
-3*(s - 1)**4/4
Let s(c) be the second derivative of c**7/42 - 5*c**6/8 + 21*c**5/4 - 135*c**4/8 - 14*c**2 - 200*c. Let o(j) be the first derivative of s(j). Factor o(u).
5*u*(u - 9)*(u - 3)**2
Let b(d) be the first derivative of 1/42*d**6 + 1/3*d**3 + 0*d + 1/7*d**5 + 1/7*d**2 - 124 + 9/28*d**4. Factor b(s).
s*(s + 1)**3*(s + 2)/7
Let 38975442*j**3 - 20*j**5 + 94032*j**4 + 40*j**5 - 44217608*j**2 + 71530962*j**3 = 0. Calculate j.
-2351, 0, 2/5
Let y(f) be the second derivative of f**5/60 + 10*f**4/9 + 119*f**3/6 - 147*f**2 - 27*f + 2. Factor y(o).
(o - 2)*(o + 21)**2/3
Let u(v) = -75*v**2 + 132*v - 57. Let x be (-45)/(-6)*360/100. Let t(d) = -11*d**2 + 19*d - 8. Let a(y) = x*t(y) - 4*u(y). Factor a(q).
3*(q - 4)*(q - 1)
Let v be -1 + -19 + -12 + 2967/92. Factor v*t - 1/4*t**2 + 1/2.
-(t - 2)*(t + 1)/4
Find q, given that 1205*q - 294*q + 3037 + 180*q**3 + 169*q - 2*q**4 - 1055*q**2 - 717 - 3*q**4 = 0.
-1, 4, 29
Let i(y) be the third derivative of -y**6/420 - 3*y**5/35 - 1353*y**2. What is c in i(c) = 0?
-18, 0
Let y(a) = -14*a**3 - 111*a**2 + 89*a + 488. Let r(z) = 3*z**3 + 22*z**2 - 18*z - 96. Let p(l) = 11*r(l) + 2*y(l). Suppose p(j) = 0. Calculate j.
-4, -2, 2
Let y(d) = -d**3 - 18*d**2 - 47*d - 26. Let n be y(-15). Find x, given that 12*x**2 - 81 - 12*x**4 + x + 81 - x - 4*x**3 + n*x**5 = 0.
-1, 0, 1, 3
Let w = 4431/227 - 50339/2951. Determine h, given that -14/13*h**3 + 8/13 + w*h + 10/13*h**2 = 0.
-1, -2/7, 2
Let o(c) be the second derivative of 1/6*c**4 + 138*c - 5/7*c**3 + 0 + 0*c**2. Solve o(q) = 0.
0, 15/7
Let x be ((-3219)/261)/(888/(-144)). Factor 55/2*a + 0 + 5/4*a**x.
5*a*(a + 22)/4
Let o = 12/181111 - -181075/543333. Suppose 0*y + 0 - o*y**2 = 0. What is y?
0
Suppose -90*w - 79438 = -79798. Determine i so that 1/5*i**w - 7/5*i - i**3 + 2/5 + 9/5*i**2 = 0.
1, 2
Let g(z) = 2*z - 19. Let w be g(11). Suppose -135*i**2 - 75*i**3 - 1215*i - 3645 - 85*i**w + 155*i**3 = 0. Calculate i.
-9
Let q(z) = -279*z**2 - 36*z + 114. Let i(u) = 790*u**2 + 108*u - 341. Let g(o) = -6*i(o) - 17*q(o). Factor g(l).
3*(l - 6)**2
Let q(t) be the first derivative of 2*t**6/15 + 18*t**5/25 - 16*t**4/5 - 46*t**3/5 + 18*t**2 - 4538. Solve q(i) = 0 for i.
-6, -5/2, 0, 1, 3
Let q(j) be the second derivative of -j**4/36 - 44*j**3/9 - 86*j**2/3 - 2*j + 1719. What is x in q(x) = 0?
-86, -2
Let g = -185/2 - -95. Let q = -12821 - -12821. Factor -g*n + q - 5/6*n**2.
-5*n*(n + 3)/6
Let x(a) be the second derivative of -a**5/40 - 149*a**4/48 + 161*a**3/3 - 330*a**2 + a + 3284. Factor x(l).
-(l - 4)**2*(2*l + 165)/4
Let g be ((6 - -2) + (-638)/87 - 1)*1*-7. Determine q, given that 0 + 1/3*q**4 - 2*q - g*q**2 + 0*q**3 = 0.
-2, -1, 0, 3
Let u = 2974 + -2974. Let r(v) be the second derivative of 0*v**2 + 1/180*v**6 + u*v**3 + 1/72*v**4 + 0 + 10*v - 1/60*v**5. Factor r(n).
n**2*(n - 1)**2/6
Let j(n) = -20*n**4 + 4*n**3 + 24*n**2 - 25*n - 1. Let v(y) = -18*y**4 + 4*y**3 + 22*y**2 - 24*y. Let g(q) = -8*j(q) + 9*v(q). What is l in g(l) = 0?
-2, 1, 2
What is g in -408282*g**2 + 8362 - 2*g**5 + 2*g**5 + 2*g**5 + 1118*g**3 + 411612*g**2 - 10368*g + 86*g**4 - 2530 = 0?
-18, -9, 1
Suppose 3*q + 2*f - 18 = 0, 102*q - 103*q - 5*f = 33. Factor -1/2*z**4 - 11*z**2 + 4*z**3 - 9/2 + q*z.
-(z - 3)**2*(z - 1)**2/2
Suppose 1036*q + 15*q**2 - 5*q**3 - 5*q**3 + 6*q**3 - 135*q**2 = 0. Calculate q.
-37, 0, 7
Solve -3/5*v**2 - 144/5*v + 348 = 0 for v.
-58, 10
Let d(y) be the second derivative of -y**7/42 + 16*y**6/15 + 17*y**5/5 + y**4/6 - 67*y**3/6 - 17*y**2 + 3728*y. Determine p, given that d(p) = 0.
-1, 1, 34
Let o be (3 + 0)/(-50 + 87 + -31). Determine t, given that o*t**5 - 6*t - 1/2*t**3 - 8*t**2 + 0 + 2*t**4 = 0.
-3, -2, -1, 0, 2
Let -3/2*n - 7/2 - 1/8*n**3 + 15/8*n**2 = 0. Calculate n.
-1, 2, 14
Let d = -25227 + 25227. Factor 2*u - 3/2*u**3 + d - 1/2*u**4 + 0*u**2.
-u*(u - 1)*(u + 2)**2/2
Suppose 3*u + 3 = 0, 3*z - u = 14 + 5. Let q be (-7)/(189/z) - (-98)/36. Factor 1/2*i**2 + 3*i + q.
(i + 1)*(i + 5)/2
Factor 14/3*y + 34/7*y**3 + 66/7*y**2 + 2/21*y**4 + 0.
2*y*(y + 1)**2*(y + 49)/21
Let g be ((0 + 1)*-1)/((-25)/50). Suppose 0*b + 2*b + 5 = 3*o, b = g*o - 4. Factor b*h**3 + 33*h**2 - h**3 + 5*h**3 - 199*h**4 + 196*h**4 - 36*h - 108.
-3*(h - 3)**2*(h + 2)**2
Let u be 1/(202/40 - 5). Let q be (-3 - (-33)/15)*(-50)/u. Factor 2*g + 1/4*g**3 + 5/4*g**q + 1.
(g + 1)*(g + 2)**2/4
Let l = -431513 - -431518. Factor -5/4*j**3 + 35/4*j - 5/2*j**2 - l.
-5*(j - 1)**2*(j + 4)/4
Let u(v) = -2*v - 6. Suppose 3*r = 4*b - 0*r + 19, -3 = -3*r. Let m be u(b). Solve -5*i**2 + 5*i**m - 2*i**4 - 8*i**3 - 2*i**4 = 0.
-2, 0
Let h be 348/203*(-17)/(-51). Find w such that -2/7*w**2 + 2/7*w**4 + 0 - 6/7*w**3 + 2/7*w**5 + h*w = 0.
-2, -1, 0, 1
Let p be (-183)/(-1525)*10/3. Factor p*f**3 - 2/5*f**2 + 2/5*f**4 + 0 + 0*f - 2/5*f**5.
-2*f**2*(f - 1)**2*(f + 1)/5
Let d(p) be the first derivative of -4*p**3 + 505*p**2/2 - 42*p - 846. What is h in d(h) = 0?
1/12, 42
Let v(y) be the third derivative of -y**9/9072 + y**8/2520 - y**7/2520 - 65*y**3/6 + 6*y**2 + 5*y. Let i(w) be the first derivative of v(w). Factor i(b).
-b**3*(b - 1)**2/3
Let r(p) be the second derivative of 5*p**4/12 + 25*p**3/2 + 135*p**2 + 220*p + 3. Factor r(u).
5*(u + 6)*(u + 9)
Let w(c) be the first derivative of -c**8/112 + 2*c**7/35 - c**6/8 + c**5/10 - c**2/2 - 8*c - 124. Let v(s) be the second derivative of w(s). Factor v(u).
-3*u**2*(u - 2)*(u - 1)**2
Let v(s) = 10*s**2 + 1361*s + 3984. Let l(m) = 8*m**2 + 1358*m + 3996. Let h(q) = 3*l(q) - 2*v(q). Suppose h(b) = 0. Calculate b.
-335, -3
Let a = -431 + 436. Let j(w) = -w**2 - 2*w + 38. Let f be j(a). Suppose -2*c**2 - 1/3*c**4 - 4/3*c - 4/3*c**f - 1/3 = 0. Calculate c.
-1
Let x(y) be the second derivative of y**5/80 - 35*y**4/24 + 247*y**3/8 + 363*y + 9. Factor x(q).
q*(q - 57)*(q - 13)/4
Factor -92/7*f + 90/7 + 2/7*f**2.
2*(f - 45)*(f - 1)/7
Let s(v) = -5*v**2 + 5*v + 30. Let j(u) = u**2 - u - 6. Let x be ((-28)/3 + 2)*(-93)/(-62). Let g(d) = x*j(d) - 2*s(d). Solve g(b) = 0.
-2, 3
Let l(d) be the third derivative of -d**6/60 - 13*d**5/30 + 13*d**4/3 + 64*d**3/3 + 8365*d**2. Factor l(y).
-2*(y - 4)*(y + 1)*(y + 16)
Let y(q) be the first derivative of -289*q**4/16 + 731*q**3/4 + 441*q**2 + 324*q + 1745. Find t such that y(t) = 0.
-12/17, 9
Let r(s) be the second derivative of -23 + s - 1/51*s**3 + 6/17*s**2 - 1/102*s**4. Factor r(b).
-2*(b - 2)*(b + 3)/17
Let u(a) = -42*a - 250. Let n be u(-6). Determine k, given that 83*k**2 - 95*k - 17*k**3 + 0*k + 107*k**n - 8*k**3 - 55 - 15 = 0.
-2/5, 1, 7
Suppose -4*g - 3 = o + 15, 0 = 3*o - 2*g - 16. What is i in -7*i + 4*i**5 - 16*i**4 + 37*i**2 - 13*i**o + 3*i + 16*i**2 - 24 = 0?
-1, 1, 2, 3
Let x(r) be the second derivative of 10*r**7/21 - 32*r**6/15 - 41*r**5/5 - 20*r**4/3 - 115*r - 5. Determine w, given that x(w) = 0.
-1, -4/5, 0, 5
Let l be ((-2)/(-5))/(-2 - (-9)/5) + (-123746)/(-44195). Factor l*o**2 + 320 + 32*o.
4*(o + 20)**2/5
Factor 100*p - 1/4*p**2 - 10000.
-(p - 200)**2/4
Let q(w) = w**3 - 6*w**2 - 30*w + 51. Let c be q(10). Let n = -1205/