3*u. Suppose o(r) = 0. What is r?
-5, 1, 6, 7
Let x = -139782 - -139785. Let r be (2/(-20))/((-3)/12). Let -2/3*c**x + 0 - 4/15*c**2 + 0*c + r*c**4 = 0. Calculate c.
-1/3, 0, 2
Suppose 0*c - 19*c + 152 = 0. Let l be c + -11 + 2 + 14/12. Factor 0*m**2 - l*m**3 + 1/6*m + 0.
-m*(m - 1)*(m + 1)/6
Let i = 426 - 372. What is a in -36*a + 1078 + 625 - 636 - i*a + a**2 + 958 = 0?
45
Let j(v) = 2*v**2 - 35*v - 11. Let c be j(18). Suppose -19*q + c*q = -408. Suppose -59*s - 5*s**2 - 50 + 60*s + q*s = 0. Calculate s.
2, 5
Let y(d) be the second derivative of -15*d**3 + 9*d**2/2 + 9*d. Let h be y(-2). Factor -h*c + 96*c + 94*c - c**2 + 2.
-(c - 2)*(c + 1)
Factor 1/11*c**3 - 400/11*c + 0 + 18*c**2.
c*(c - 2)*(c + 200)/11
Suppose -482*f - 12*f = 234*f. Factor -7/4*r**3 - 15/4*r**2 + f - 9/4*r - 1/4*r**4.
-r*(r + 1)*(r + 3)**2/4
Let p(k) be the third derivative of 4/7*k**4 + 3*k - 12/7*k**3 - 4*k**2 + 0 + 11/70*k**5. Factor p(o).
6*(o + 2)*(11*o - 6)/7
Let k(p) = -9*p**3 + 128*p**2 + 9*p - 128. Let t(c) = -5*c**3 + 64*c**2 + 5*c - 64. Let v(o) = 12*k(o) - 21*t(o). Factor v(a).
-3*(a - 64)*(a - 1)*(a + 1)
Let k(s) = -s**3 + 3*s + 1. Let w be -1 - (0 - 4)/(-2). Let z be k(w). Find y such that 55*y**4 + 10*y + z*y**5 + 43*y**3 - 94*y**5 - 55*y**2 + 22*y**3 = 0.
-1, 0, 1/3, 2/5, 1
Let a be (-70)/(-15 - (-27 + 22)). Let j(m) be the third derivative of 0*m + a*m**2 + 0 - 2*m**3 - 3/10*m**5 - 1/40*m**6 - 9/8*m**4. Factor j(w).
-3*(w + 1)**2*(w + 4)
Suppose -90*b + 592*b - 1506 = 0. Let m(h) be the first derivative of 11*h**b - 30 - 51/2*h**2 + 18*h. Factor m(r).
3*(r - 1)*(11*r - 6)
Suppose 11*a = 1 + 21. Let x be (1 - a)*18/(-12)*2. Factor 10 + 8*o**5 - 3*o**5 - 20*o**x + 15*o - 10*o**2 + 0*o**2.
5*(o - 2)*(o - 1)*(o + 1)**3
Let x(b) be the first derivative of -3*b**4/2 - 170*b**3/3 - 536*b**2 + 792*b + 7300. Let x(h) = 0. What is h?
-18, -11, 2/3
Suppose 11*v + 1/4*v**2 + 315/4 = 0. Calculate v.
-35, -9
Let p(c) = c**2 - c + 1. Let x(u) = u**3 - 199*u**2 + 7*u - 7. Let q(b) = -28*p(b) - 4*x(b). Factor q(s).
-4*s**2*(s - 192)
Let i = -11758/5 + 23521/10. Let v = 13/60 + 1/30. Determine f so that v + 1/4*f**2 - i*f = 0.
1
Let b(x) be the first derivative of x**6/3 + 22*x**5/5 + 9*x**4/2 - 238*x**3/3 + 98*x**2 - 119. Let b(y) = 0. What is y?
-7, 0, 1, 2
Factor 1222/5*f + 2/5*f**2 - 1224/5.
2*(f - 1)*(f + 612)/5
Factor -2/5*i**2 + 22/5 + 4*i.
-2*(i - 11)*(i + 1)/5
Let n be (16 + 1)/(220/70 + -3). Factor 286 - 450*c + 65*c**2 + n + 26*c**2 + 34*c**2.
5*(5*c - 9)**2
Suppose 12*d = 97 - 85. Let l(w) = -w**3 + 2*w + 1. Let b be l(d). Solve 2/17*m**4 + 8/17*m + 6/17*m**b - 8/17 - 8/17*m**3 = 0.
-1, 1, 2
Let q(j) be the first derivative of -5*j**3/3 - 3775*j**2/2 - 7530*j - 2851. Determine p, given that q(p) = 0.
-753, -2
Let h(c) = -2*c**2 + 37*c - 147. Let l be h(13). Let b be (259/185)/(l/(-10)). Factor -15/2*y - 1/2*y**3 - 9/2*y**2 - b.
-(y + 1)**2*(y + 7)/2
Let p(k) be the first derivative of k**4/42 - 18*k**3/7 + 729*k**2/7 + 49*k - 68. Let r(y) be the first derivative of p(y). Factor r(x).
2*(x - 27)**2/7
Let o be (-10693)/11 + 1/11. Let l = o - -972. Factor l*s**3 + 0 - 3/5*s**2 + 3/5*s**4 + 0*s.
3*s**2*(s - 1)*(s + 1)/5
Let v(n) be the first derivative of n**5/20 + n**4/6 + n**3/6 - 33*n + 15. Let u(i) be the first derivative of v(i). Factor u(y).
y*(y + 1)**2
Suppose 82*w = 77*w + 100. Factor 16*p**2 - 24*p - w + 3*p**4 + p**4 + 554*p**3 - 530*p**3.
4*(p - 1)*(p + 1)**2*(p + 5)
Let a = -122 + 125. Let q = 8 - a. Suppose -51*z**3 + 45*z**q + 13*z**4 - 12 + 99*z**2 - 12*z - 102*z**4 + 2*z**4 + 18*z**5 = 0. What is z?
-1, -2/7, 2/3, 1
Let j(t) be the first derivative of -265/3*t**3 + 121/6*t**6 + 28*t**2 + 499/4*t**4 - 4*t - 407/5*t**5 - 79. Suppose j(x) = 0. Calculate x.
2/11, 1
Find n, given that -51*n**2 + 2*n**4 - 8*n**3 - 3*n**4 + 89*n**2 + 20*n - 49*n**2 = 0.
-5, -4, 0, 1
Let l = 144780 + -144778. Determine v so that -2/3*v**4 - 4/3*v + 2/3*v**l + 0 + 4/3*v**3 = 0.
-1, 0, 1, 2
Let s(q) be the first derivative of -q**5/50 + q**4/6 + 51*q - 54. Let y(j) be the first derivative of s(j). Let y(x) = 0. Calculate x.
0, 5
Let w(k) = -82 + 140*k - 78*k + 3*k**2 - 71*k - 90*k. Let t(u) = -u**2 + 49*u + 42. Let v(x) = -10*t(x) - 4*w(x). Factor v(n).
-2*(n + 1)*(n + 46)
Let h = 28 + -21. Let -5*b + 4*b**2 + 2*b + 4*b - 10*b - h*b = 0. Calculate b.
0, 4
Suppose -5*t + 17 = -3*u, -12*t + 13*t = 4*u. Suppose -u = 2*h - 4*g + 5*g, -12 = 4*h + 4*g. Determine b, given that -4/7*b + 1/7*b**h + 4/7 = 0.
2
Let 132/5*k + 314/5*k**2 + 2/5*k**4 + 48/5*k**3 - 1936/5 = 0. What is k?
-11, -4, 2
Let c be (4 + 14/(-8))/((-6)/(-8)). Factor 0*j + 12*j**2 - 1419*j**c + 1415*j**3 - 48 + 16*j.
-4*(j - 3)*(j - 2)*(j + 2)
Let v = 104/119 - 904/3213. Let a(j) be the first derivative of 0*j + 1/6*j**4 + 7 + v*j**3 - 1/3*j**2. Determine f, given that a(f) = 0.
-3, 0, 1/3
Let 8*p - 8/7*p**2 - 2/7*p**3 - 64/7 = 0. What is p?
-8, 2
Let n be (-420)/45*18/(-21). Let p(q) = 48*q. Let k be p(7). Determine j, given that n + 8*j + k*j**3 - 340*j**3 + 4*j = 0.
-1, 2
Let u be 2/7 + (12 - 162/(-315)). Let s = 13 - u. Determine j, given that 16/5*j - 16/5 - 4/5*j**3 + 0*j**2 + s*j**4 = 0.
-2, 2
Let m(f) be the second derivative of -f**7/462 + 7*f**6/15 + 318*f**5/55 + 964*f**4/33 + 2584*f**3/33 + 1296*f**2/11 - 2*f + 249. Find k such that m(k) = 0.
-2, 162
Let t(i) be the first derivative of i**4/16 + 25*i**3/12 + 81*i**2/4 + 72*i + 2087. Factor t(s).
(s + 3)*(s + 6)*(s + 16)/4
Factor -373*g**3 + 368*g**3 - 1275 + 11855 - 10600*g - 107*g**2 + 2772*g**2.
-5*(g - 529)*(g - 2)**2
Let u(p) be the third derivative of p**6/1320 - 29*p**5/660 - 5*p**4/44 + p**2 + 32*p - 4. Factor u(s).
s*(s - 30)*(s + 1)/11
Find v such that -32*v - 156/5*v**2 - 32/5*v**3 - 2/5*v**4 + 70 = 0.
-7, -5, 1
Let a be 756/1890*2/8*2. Solve -11/10*l**3 - 21/10 - a*l**4 + 23/10*l**2 + 11/10*l = 0.
-7, -1, 1, 3/2
Let d(p) be the first derivative of -p**3/4 + 123*p**2/4 + 1305*p/4 + 3071. Factor d(n).
-3*(n - 87)*(n + 5)/4
Let c = 1 + 8. Let u(j) = j**2 - 25*j + 86. Let b be u(4). Factor c*o + 6*o**2 - 15 + 17*o - o**b - 36*o.
5*(o - 3)*(o + 1)
Suppose -76*l - 47 + 582 + 205 = -476. Factor 2/7*w**2 + 224 + l*w.
2*(w + 28)**2/7
Let u(t) be the first derivative of -1/3*t**3 + 1 + 0*t + 7/2*t**2. Let v(x) = 4*x**2 - 28*x. Let b(k) = -18*u(k) - 4*v(k). Factor b(z).
2*z*(z - 7)
Let m be ((-4658)/340)/137 - (-42)/20. Factor -6 - 13/2*o + 23/2*o**m + o**3.
(o - 1)*(o + 12)*(2*o + 1)/2
Suppose 308 = -46*j + 123*j. Let p be -3 + (-7665)/(-126)*(-6)/(-15). Factor -4/3*d**3 + 32/3*d - p - 1/3*d**j + 4*d**2.
-(d - 2)**2*(d + 4)**2/3
Let i(o) be the third derivative of o**5/60 + 41*o**4/24 - 115*o**3/3 - 4302*o**2. Factor i(t).
(t - 5)*(t + 46)
Let h(s) be the first derivative of 0*s - 38 - 1/3*s**2 - 1/9*s**3 + 1/12*s**4. Find x such that h(x) = 0.
-1, 0, 2
Let j(y) be the third derivative of -1/40*y**6 + 0 + 16/7*y**4 + 62*y**2 - 16/7*y**3 - 69/70*y**5 + 0*y + 1/10*y**7. Determine d, given that j(d) = 0.
-2, 4/7, 1
Suppose 0 = -17*v + 751 + 3040. Factor x - v*x**2 - x - 4*x**3 + 231*x**2.
-4*x**2*(x - 2)
Solve -548937 + 1140*w + 4240111 + 499*w + 814828 - 7643*w + 2*w**2 = 0.
1501
Let y(t) = -3*t**3 - 13*t**2 - 3*t + 7. Let w be y(-4). Let z be 665/210 + 1/(-6) - w. Find d, given that -6/11*d - 2/11*d**2 + z = 0.
-3, 0
Let y(f) be the first derivative of f**6/6 + 31*f**5/5 + 40*f**4 - 64*f**3 - 3936. Factor y(t).
t**2*(t - 1)*(t + 8)*(t + 24)
Let s(c) be the first derivative of c**7/210 - c**6/45 + c**5/24 - c**4/24 + 89*c**3/3 + 35. Let g(r) be the third derivative of s(r). Solve g(o) = 0.
1/2, 1
Solve 2/3*j**4 + 2052 + 994/3*j**2 + 1590*j + 26*j**3 = 0.
-19, -9, -2
Let r(q) be the first derivative of -q**3/15 - 126*q**2/5 - 380. Factor r(i).
-i*(i + 252)/5
Determine z, given that 0 + 441/2*z**4 - 987/2*z**3 + 715/2*z**2 - 169/2*z = 0.
0, 13/21, 1
Suppose 0 = 2*l - 38. Suppose 24*t = l*t + 30. Factor t*x**3 + 47 + 2*x**4 - 5*x**4 - 44 - 6*x.
-3*(x - 1)**3*(x + 1)
Let g = -2/4971 + 69628/84507. Determine l, given that -10/17 - 2/17*l**3 - 22/17*l - g*l**2 = 0.
-5, -1
Let n = 392718 + -62441069/159. Let u = -11/53 + n. Factor 2/3*s**2 - u*s - 22/3.
2*(s - 11)*(s + 1)/3
Determine f, given that 0 + 8/3*f**3 + 34/9*f**2 + 2/9*f**4 - 20*f = 0.
-9, -5, 0, 2