*r**2 = 0.
-1, 0, 3
Let 2/3*r**4 - 8000/3*r + 0 + 1600/3*r**2 - 100/3*r**3 = 0. Calculate r.
0, 10, 20
Let w(q) be the second derivative of 0 - 5*q**2 - 3/2*q**3 + 9*q + 1/12*q**4. Factor w(y).
(y - 10)*(y + 1)
Suppose -46/5*o**2 + 2/5*o**3 - 5 + 7/5*o**4 - 13*o - 1/5*o**5 = 0. Calculate o.
-1, 5
Let m(q) be the first derivative of -50/3*q - 4/3*q**3 + 37 + 15/2*q**2 + 1/12*q**4. Factor m(i).
(i - 5)**2*(i - 2)/3
Let q = 124359 + -124356. Suppose -6/7*h**q - 8/7 + 18/7*h + 20/7*h**2 = 0. What is h?
-1, 1/3, 4
Determine c, given that 10381882 + 37654074 + 4*c**3 + 502075*c + 2748*c**2 + 127217*c = 0.
-229
Suppose 0 = -4*q + 5 + 3. Let j be (q/(-5) - 104/65) + 4. What is l in 39*l + 469*l**3 - 48*l**5 - 109*l**3 + 41*l + 73*l**5 - 160*l**4 - 320*l**j = 0?
0, 2/5, 2
Suppose 14*d + 80 = 19*d. Let c(i) = -i**3 - 2*i**2 - 5. Let f be c(-3). Determine m so that -43 + 9 - 16 + d*m - 2*m**2 + f*m = 0.
5
Let a(q) be the second derivative of q**7/5040 - q**6/240 + 35*q**4/12 + q**3/3 - 109*q. Let m(b) be the third derivative of a(b). Factor m(f).
f*(f - 6)/2
What is v in 2398/5*v + 2/5*v**3 - 144/5*v**2 - 2256/5 = 0?
1, 24, 47
Let j(z) = 13*z**2 + 12*z + 8. Let d be j(-2). Factor 169*b - 7444 + d*b**3 + 351*b**2 + 13*b**4 - b**3 - 1344 - 12*b**4.
(b - 4)*(b + 13)**3
Factor 2/15*p**4 + 0 - 26/15*p**3 + 0*p - 132/5*p**2.
2*p**2*(p - 22)*(p + 9)/15
Let n(d) be the third derivative of 13/12*d**4 + 27*d + 1/180*d**6 - 3*d**2 - 1/315*d**7 + 2*d**3 + 23/90*d**5 + 0. Suppose n(u) = 0. What is u?
-3, -1, 6
Factor -226*z - 224*z**4 + 2/3*z**5 - 676*z**3 - 2032/3*z**2 + 0.
2*z*(z - 339)*(z + 1)**3/3
Let u = 528163 + -2640814/5. Factor u*k**2 + 2209/5 + 94/5*k.
(k + 47)**2/5
Let j(f) be the first derivative of -7/24*f**4 + 0*f**2 - 31 - 1/30*f**5 + 4/9*f**3 + 0*f. Find a such that j(a) = 0.
-8, 0, 1
Let z be 8 - 3 - (-11 - (-17 + 3)). Let u be ((-16)/(-50))/(12/20). Determine o so that 8/15 + 2/15*o**z - u*o = 0.
2
Let h(m) be the third derivative of m**6/360 - 3*m**5/40 + m**4/3 - 9*m**3/2 + 8*m**2 - m. Let f(w) be the first derivative of h(w). Find y such that f(y) = 0.
1, 8
Let c(x) = x**2 + 5. Let n(i) = -20*i**2 - 852*i - 1840. Let l(u) = -24*c(u) - n(u). Factor l(k).
-4*(k - 215)*(k + 2)
Let w = 1107329/77 - 100665/7. Factor 6/11*j**2 + 4/11 - 10/11*j - 2/11*j**4 + w*j**3.
-2*(j - 1)**3*(j + 2)/11
Let i(g) be the first derivative of -3*g**4/4 + 56*g**3 + 3*g**2/2 - 168*g + 5394. Factor i(q).
-3*(q - 56)*(q - 1)*(q + 1)
Let n(k) be the third derivative of -2/45*k**5 + 5/18*k**4 + 0 + 0*k + 1/360*k**6 - 34*k**2 - 8/9*k**3. Factor n(b).
(b - 4)*(b - 2)**2/3
Let -284*u**2 + 190*u + 188*u**3 - 2/5*u**5 - 238/5 - 46*u**4 = 0. Calculate u.
-119, 1
Let m = -2/561997 - -1124012/5057973. Factor 8/3*o**3 - 2/9*o**5 + 0*o**2 + 0 + m*o**4 + 0*o.
-2*o**3*(o - 4)*(o + 3)/9
Let a(x) be the third derivative of 7*x**5/6 + 155*x**4/8 + 395*x**3/6 + 5*x**2 + 44*x - 2. Factor a(p).
5*(p + 1)*(14*p + 79)
Let f = -10500 - -10500. Factor f*h**2 + 9 - 21/2*h + 3/2*h**3.
3*(h - 2)*(h - 1)*(h + 3)/2
Let p(k) be the first derivative of -k**5/10 - 3*k**4/14 + k**3/3 + 9*k**2/7 - 22*k + 13. Let b(j) be the first derivative of p(j). Factor b(x).
-2*(x - 1)*(x + 1)*(7*x + 9)/7
Determine h so that -628/5 + 5*h**3 + 3144/5*h - 789*h**2 = 0.
2/5, 157
Let f be (-4 + 6)*((-4)/(-18064))/(-1). Let d = 4519/6774 + f. Let d*q**2 - 1/3 + 1/2*q**3 - 5/6*q = 0. Calculate q.
-2, -1/3, 1
Let g(h) be the second derivative of 22*h**2 + 71 - 20/3*h**3 - 1/3*h**4 - h. Find s, given that g(s) = 0.
-11, 1
Let w(x) be the third derivative of 42*x**2 - 1/45*x**5 - 7/27*x**4 + 1/180*x**6 - 8/9*x**3 + 0 + 1/945*x**7 + 0*x. Factor w(c).
2*(c - 3)*(c + 2)**3/9
Let l(y) be the third derivative of -y**6/1020 + 127*y**5/255 - 16129*y**4/204 + y**2 - 86*y. Find c such that l(c) = 0.
0, 127
Let l(j) = 8*j**2 + 33*j + 6. Let d be l(-4). Let x(v) = -v**2 - 12*v - 33. Let q be x(-6). Factor -4/15*b**d + 0 + 0*b - 2/15*b**q.
-2*b**2*(b + 2)/15
Let f(h) be the second derivative of h**5/140 + 10*h**4/21 - 47*h**3/42 - 123*h**2/7 + 470*h. What is w in f(w) = 0?
-41, -2, 3
Let v be (581/14)/(2/4). Factor -125*p**3 - 10 - 209*p**2 - 2*p + 9*p**2 - v*p.
-5*(p + 1)*(5*p + 1)*(5*p + 2)
Let i(p) be the third derivative of p**9/3780 + p**8/240 + p**7/105 - p**4/24 - p**3/2 - 76*p**2. Let n(j) be the second derivative of i(j). Factor n(r).
4*r**2*(r + 1)*(r + 6)
Let q be 160/(-28) - 8/28 - -8. Let y(z) be the second derivative of 0*z**q + 26 - 10/3*z**3 - 2*z - 1/4*z**5 + 5/3*z**4. Factor y(h).
-5*h*(h - 2)**2
Let j(f) be the second derivative of -6*f**6/5 - 318*f**5/5 - 3529*f**4/3 - 8480*f**3 - 28800*f**2 + 87*f + 23. Solve j(c) = 0.
-15, -8/3
Let r(a) be the third derivative of -1/44*a**6 + 0*a**3 - a**2 + 1/165*a**7 - 1/1848*a**8 + 25 + 0*a - 1/33*a**4 + 13/330*a**5. Solve r(p) = 0 for p.
0, 1, 4
Let i(k) = 653*k - 2610. Let h be i(4). Let w(a) be the second derivative of 0 - 20*a + 4*a**h - 8*a**3 - 5/2*a**5 + 15/2*a**4. Suppose w(y) = 0. Calculate y.
2/5, 1
Find d such that -12 + 2/17*d**2 - 22/17*d = 0.
-6, 17
Suppose -707 = 2*y + 8*y - 727. Let u(o) be the first derivative of -9/4*o**4 + 0*o - 6/5*o**5 - 16 + 0*o**2 + y*o**3. Factor u(w).
-3*w**2*(w + 2)*(2*w - 1)
Factor 38/13*x**2 + 2232/13 + 672/13*x - 2/13*x**3.
-2*(x - 31)*(x + 6)**2/13
Suppose -568 + 1076 = -18*s + 580. Let -16/3 + 50/3*f**3 + 4*f**2 - 24*f - 6*f**s = 0. What is f?
-1, -2/9, 2
Let u(x) be the second derivative of x**5/20 + x**4/4 - 50*x**3/3 + 48*x**2 + 2*x + 1587. Factor u(l).
(l - 8)*(l - 1)*(l + 12)
Suppose 225 = -35*o - 195. Let p be (75/(-18))/(9/o). Factor 2/9*n**2 + 20/9*n + p.
2*(n + 5)**2/9
Suppose -4*n + k - 45 = 0, -53*k = -4*n - 58*k - 63. Let p be 4 - 8/n - (0 + 4). Factor -s + p - 2/3*s**2.
-(s + 2)*(2*s - 1)/3
Let z be ((-560)/80 + 20/2 + 0)/(40/210). Find t such that -3*t**2 + 0 + z*t = 0.
0, 21/4
Suppose 5*m = 23 + 22. Let b = 11 - m. What is l in 2*l**3 - 1 + 25 + 101*l**2 - 16*l - 103*l**b = 0?
-3, 2
Let m = -199100 + 1388822/7. Let l = -696 - m. Factor -l - 3/7*t**3 - 15/7*t - 12/7*t**2.
-3*(t + 1)**2*(t + 2)/7
Let b(m) = -2*m**3 + 20*m**2 - 33*m + 10. Let d be b(8). Suppose s**3 - s**4 - 27*s - 44*s**d + 54 + 6*s**3 + 35*s**2 = 0. Calculate s.
-2, 3
Find a, given that -54/11*a - 4/11*a**2 - 26/11 + 2/11*a**5 + 52/11*a**3 + 30/11*a**4 = 0.
-13, -1, 1
Factor -3 - 18*t + 73 + 17*t + 2*t**2 - 23*t.
2*(t - 7)*(t - 5)
Let q(w) = -w - 19. Let o be q(0). Let y = 39 + o. Suppose 243*i**2 - 58*i - 8 + 7*i - 57*i + y = 0. What is i?
2/9
Suppose 5*k + 300 = 380. Let 10*t**3 + 15*t**5 + 37*t + 25*t**4 - 21*t - k*t = 0. Calculate t.
-1, -2/3, 0
Let b(s) be the third derivative of 0*s**6 - 1/840*s**8 + 37 + 1/75*s**5 - s**2 + 1/60*s**4 + 0*s**3 - 2/525*s**7 + 0*s. Factor b(w).
-2*w*(w - 1)*(w + 1)**3/5
Let g(p) = -p**3 + p + 1. Let y(m) = 7*m**3 - 9*m**2 - 4*m - 1. Let r(w) = -6*g(w) - y(w). Let b be r(8). Factor -4 + 3 + 32*o**2 + 31 + b*o**2 - 95*o.
5*(3*o - 2)*(5*o - 3)
Let l(s) be the second derivative of 4/5*s**5 - 2/21*s**7 + 2*s + 0*s**2 + 35 + 4/3*s**4 + 0*s**3 - 2/15*s**6. Find j, given that l(j) = 0.
-2, -1, 0, 2
Factor -3*b**5 - 32/3*b + 40*b**2 + 0 + 58/3*b**4 - 44*b**3.
-b*(b - 2)**3*(9*b - 4)/3
Let y(u) = 6*u**3 + 31*u**2 - 65*u + 38. Suppose -x - 24 = -23. Let w(v) = 2*v**3 - v**2 - v + 2. Let h(s) = x*y(s) + 5*w(s). Factor h(n).
4*(n - 7)*(n - 1)**2
Solve 36/5*k**3 - 60 - 152/5*k**2 + 2/5*k**5 - 94*k + 4*k**4 = 0 for k.
-5, -2, -1, 3
Let s = -1876 + 1879. Let t(r) be the second derivative of 2*r + 0*r**5 - 1/18*r**4 + 0*r**2 + 1/45*r**6 - 1/126*r**7 + 1/18*r**s + 0. Solve t(c) = 0.
-1, 0, 1
Factor 2/13*t**2 - 44/13*t - 16.
2*(t - 26)*(t + 4)/13
Let t be 2795/(-936)*12 + 36. Factor 1/2*g - 1/2*g**3 - t*g**4 + 0 + 1/6*g**2.
-g*(g - 1)*(g + 1)*(g + 3)/6
Let n(d) = -89*d**2 + 1423*d - 2856. Let q(f) = 58*f**2 - 1422*f + 2856. Let o(g) = 2*n(g) + 3*q(g). Factor o(x).
-4*(x - 2)*(x + 357)
Find q, given that 115*q**4 - 875*q**3 - 1259*q + 2385*q**2 - 66*q**5 - 361*q + 124*q**5 - 63*q**5 = 0.
0, 1, 4, 9
Let q(a) be the third derivative of -a**5/12 - 55*a**4/6 - 70*a**3 - 1314*a**2. Factor q(k).
-5*(k + 2)*(k + 42)
Let d(l) be the first derivative of -l**6/45 - 8*l**5/75 - 2*l**4/15 - 8373. Determine q, given that d(q) = 0.
-2, 0
Let t(u) 