 2*o**2 - o - 2. Let n be h(3). Suppose -w*r**2 - 16 + n*r + 2*r**2 + 4*r + 12*r = 0. What is r?
1, 4
What is j in 0 + 2/7*j**2 - 4/7*j + 4/7*j**3 - 2/7*j**4 = 0?
-1, 0, 1, 2
Let j(g) be the first derivative of -32*g**3/27 - 29*g**2/9 + 4*g/3 + 192. Solve j(h) = 0 for h.
-2, 3/16
Let i(t) = t**3 + 7*t**2 - 19*t - 4. Let j be i(-9). Let b be ((-8)/(-20)*3)/(j + -4). Suppose 14/5*y + 4/5 + b*y**2 = 0. Calculate y.
-2, -1/3
Let q be 4 - ((-5)/15)/((-2)/12). Suppose 0 - 4 = -q*c. Factor -1/2 - 3/4*v**c + 1/4*v**3 - 5/4*v + 1/4*v**4.
(v - 2)*(v + 1)**3/4
What is m in -9/2*m**2 + 0 + 9/2*m**4 + 3/2*m**5 + 3/2*m**3 - 3*m = 0?
-2, -1, 0, 1
Suppose -5*v = x + 24, -5*x = -0*x + 2*v + 5. Determine u so that 2 - x - 5 - 2*u**2 - 14*u - 4*u**2 = 0.
-2, -1/3
Suppose 2*r = -5*a - 12, -11*r = -6*r + a - 16. Let u(y) be the second derivative of -1/12*y**r - 3*y + 0*y**2 + 0 + 1/3*y**3. Factor u(c).
-c*(c - 2)
Let w(s) be the first derivative of 0*s**3 + 5 - 2/3*s**6 + 0*s**2 + 0*s + 0*s**5 + s**4. Factor w(j).
-4*j**3*(j - 1)*(j + 1)
Let j(r) be the third derivative of -r**7/280 - r**6/40 - r**5/16 - r**4/16 + 81*r**2 - 1. Factor j(u).
-3*u*(u + 1)**2*(u + 2)/4
Let 281 + 239 - 560 + 5*t**3 + 10*t + 25*t**2 = 0. What is t?
-4, -2, 1
Suppose 7*g - 1 - 20 = 0. Let z(u) be the first derivative of -2*u**3 + 12 - u**2 + 4*u**2 + 0*u + g*u**3 + 3*u. Factor z(l).
3*(l + 1)**2
Let y = 63592/5 + -12718. Determine z so that 0 + y*z**2 + 0*z + 2/15*z**3 = 0.
-3, 0
Let l be (-20)/140 + 36/7. Let s(a) be the third derivative of -2/5*a**4 + 0 + 49/300*a**6 + 6*a**2 + 0*a + 7/50*a**l + 4/15*a**3. Find t such that s(t) = 0.
-1, 2/7
Let q be 6/(-11) + (-1688)/(-110) + (-1339)/103. Find x such that 0*x**2 + 6/5 + 3/5*x**3 - q*x = 0.
-2, 1
Let b be ((-140)/(-25))/(0 + 2/10). Let s be 6/28 + b/98. Determine m, given that -11/4*m**2 + s*m - 19/4*m**4 + 11/2*m**3 + 3/2*m**5 + 0 = 0.
0, 1/2, 2/3, 1
Let c be -6 + (-108)/(-21) + 1. Factor 0 + 0*v - 1/7*v**2 + c*v**3.
v**2*(v - 1)/7
Let i = -581/304 - -23/16. Let g = 31/95 - i. Factor -14/5*r + g*r**2 + 6/5.
2*(r - 3)*(2*r - 1)/5
Let g(y) be the third derivative of 81/4*y**3 + 0 + 1/40*y**5 + 0*y + 9/8*y**4 - 33*y**2. Factor g(l).
3*(l + 9)**2/2
Suppose 4*a = 4*g + 8, -5*g + 2*a + 30 = 7*a. Let p(y) be the first derivative of 1/3*y - 5 + 1/12*y**4 + 1/3*y**3 + 1/2*y**g. Determine v so that p(v) = 0.
-1
Let b(v) be the first derivative of 2*v**5/85 - v**4/34 - 6*v**3/17 + 9*v**2/17 - 812. Let b(u) = 0. Calculate u.
-3, 0, 1, 3
Solve 8/3*q - 22/3*q**4 - 2*q**3 + 18*q**2 + 2*q**5 - 8 = 0 for q.
-1, 2/3, 2, 3
Determine d, given that -7/5*d**4 - 32/5*d**2 + 4/5*d + 29/5*d**3 + 0 = 0.
0, 1/7, 2
Let d(h) be the first derivative of 55*h**3/9 + 125*h**2/3 + 40*h + 165. Suppose d(w) = 0. Calculate w.
-4, -6/11
Let t(k) = 4*k**3 + 184*k**2 + 334*k + 187. Let l(x) = -x**3 - 61*x**2 - 111*x - 63. Let a(w) = -11*l(w) - 4*t(w). Factor a(q).
-5*(q + 1)**2*(q + 11)
Let x(u) = u**3 - 6*u**2 + 10*u - 4. Let c be x(4). Suppose -5*i = 4*k + 6, 12 = -2*i - 5*k - c. Solve -1/2*m**i - 1/2*m + 1 = 0 for m.
-2, 1
Let h(b) be the first derivative of b**3/9 + 49*b**2/3 + 2401*b/3 - 11. Factor h(a).
(a + 49)**2/3
Suppose 10*p = 3*p + 14. Let x be (-70)/(-8)*6/15 - p. Determine v so that -x*v**3 + 3/4*v**2 + 0*v + 3/4*v**4 + 0 = 0.
0, 1
Let a(y) = y**3 + 4*y**2 + 4. Let t be a(-4). Let f be 1 + (t - (1 + -1)). Factor -5/3*x**3 - 4/3 + 8/3*x - 1/3*x**2 + 1/3*x**f + 1/3*x**4.
(x - 1)**3*(x + 2)**2/3
Let u(f) be the first derivative of -3*f**8/616 - f**7/165 + f**6/330 + 7*f**2/2 + 8. Let s(w) be the second derivative of u(w). Suppose s(l) = 0. Calculate l.
-1, 0, 2/9
Let -914*d**2 + 457*d**2 + 144 + 453*d**2 = 0. Calculate d.
-6, 6
Let i(s) = 4*s**2 + 86*s - 100. Let y(z) = -z**2 - 29*z + 33. Let h(o) = -3*i(o) - 10*y(o). Factor h(v).
-2*(v - 15)*(v - 1)
Let i(x) be the first derivative of x**4 + 4*x**3/3 - 4*x**2 - 23. Suppose i(y) = 0. What is y?
-2, 0, 1
Factor 121 + 1/4*m**2 + 11*m.
(m + 22)**2/4
Suppose 45*b = 67 + 68. Let l(q) be the first derivative of -25/6*q**2 - 2*q - 4/3*q**b - 10 + 7/12*q**4. Factor l(r).
(r - 3)*(r + 1)*(7*r + 2)/3
Let v(h) = -h**3 + 4*h**2 - h - 3. Let k be v(3). Let r(l) = l**3 + l**2 + 1. Let j(f) = -7*f**3 + f**2 - 2*f - 4. Let q(i) = k*j(i) + 12*r(i). Factor q(d).
-3*d*(d - 1)*(3*d - 2)
Let n(r) = -15*r**2 - 33*r**3 - 3 + 38*r**3 + 8 - 25*r. Let t(i) = -5*i**3 + 15*i**2 + 26*i - 6. Let s(q) = -6*n(q) - 5*t(q). Factor s(z).
-5*z*(z - 4)*(z + 1)
Let -12005 - 245*u - 5/4*u**2 = 0. What is u?
-98
Let h be 2/8 - 1430/(-1320). Find c such that 4*c**3 + 0 - 4/3*c**5 + 8/3*c + h*c**4 - 20/3*c**2 = 0.
-2, 0, 1
Find v such that 4/3*v**4 - 8*v + 52/3*v**2 + 0 - 32/3*v**3 = 0.
0, 1, 6
Factor 48 - 22*i**3 - 18 + 23*i**3 + 16*i**2 + 77*i + 68.
(i + 2)*(i + 7)**2
Solve -20*q + 4/7*q**2 + 0 = 0.
0, 35
Let z(g) = 3*g + 9. Let o be z(-6). Let f be (-51)/o - (-2)/(-3). What is y in -3*y - 70 + f*y + 2*y**2 + 66 = 0?
-2, 1
Let q(d) be the second derivative of d**7/5040 - d**6/720 + 11*d**4/12 - 35*d. Let p(i) be the third derivative of q(i). Factor p(g).
g*(g - 2)/2
Suppose 4*r + y = 6*y + 56, -19 = -3*r - 2*y. Let h(m) = 2*m**2 + 15*m - 7. Let f(q) = -3*q**2 - 30*q + 15. Let l(o) = r*h(o) + 5*f(o). Factor l(j).
3*(j - 4)*(j - 1)
Let t be ((-24)/(-8) - 43)/(-18). Factor -4/9 - 7/3*w**2 + t*w.
-(3*w - 2)*(7*w - 2)/9
Let l(s) be the first derivative of 13/42*s**4 + 1/105*s**6 + 4/7*s**2 - 4/7*s**3 - 3/35*s**5 + 8 - s. Let x(t) be the first derivative of l(t). Factor x(v).
2*(v - 2)**2*(v - 1)**2/7
Let l(p) be the third derivative of -1/8*p**4 - 1/20*p**6 + 0*p**3 + 3/20*p**5 + 4*p**2 + 0*p + 0. Factor l(r).
-3*r*(r - 1)*(2*r - 1)
Find f such that -5*f**4 + 520*f**3 - 1621*f**3 + 458*f**3 - 1275*f**2 - 5125*f + 508*f**3 - 7500 = 0.
-12, -5
Let u(f) = -f**2 - 7*f + 13. Let v be u(-8). Find h, given that -2*h**4 + 3*h**2 + 9*h + 6*h**3 - 15*h + 4 - v*h**2 = 0.
-1, 1, 2
Suppose s + 11 = 2*t, -2*s = 3*t - 2 + 3. Factor 310 + 20*l**4 - 15*l**5 - 5*l**t - 310.
-5*l**3*(l - 1)*(3*l - 1)
Suppose -1 + 0 = -j + a, -a = 3*j + 1. Suppose 4*w = 2*d + d, 3*d = j. Let w*n - 6/5*n**4 - 24/5*n**3 + 0 - 8/5*n**2 + 2*n**5 = 0. Calculate n.
-1, -2/5, 0, 2
Let o(y) be the first derivative of 4/3*y**4 + 0*y**2 + 0*y + 1/180*y**6 + 8 - 2/15*y**5 - 5/3*y**3. Let f(j) be the third derivative of o(j). Factor f(x).
2*(x - 4)**2
Let y = 71 + -35. Factor y*n**3 + n**4 + 10*n - 51*n**3 - 6*n**4 + 5*n**2 + 5*n**5.
5*n*(n - 2)*(n - 1)*(n + 1)**2
Let j(o) = 5*o**2 - 4*o - 69. Let i(p) = 11*p**2 - 10*p - 141. Let x(l) = -3*i(l) + 7*j(l). Factor x(d).
2*(d - 5)*(d + 6)
Let d = 34 - 28. Find a, given that -4*a**3 + 3*a**3 + 4*a**4 + 3*a**3 + d*a**3 = 0.
-2, 0
Let v be (-21)/(-28)*(1 + -1 + -2 - -6). Let j be (-2)/24*(-16)/6. Factor 4/3*w + 32/9*w**4 + 2/9*w**2 - 16/3*w**v + j.
2*(w - 1)**2*(4*w + 1)**2/9
Suppose 3*v - 2*z - 117 = 93, -3*v + 210 = -4*z. Let x be 6/(-63)*15*v/(-8). Factor 0 - 10*k**2 + x*k**3 + 2*k.
k*(5*k - 2)**2/2
Let t = 30 - 28. Factor -13*f**4 - f**3 + t*f**2 - 5*f**3 + 3*f**3 + 14*f**4.
f**2*(f - 2)*(f - 1)
Let f(w) be the second derivative of -w**5/80 - 7*w**4/48 + w**3/24 + 7*w**2/8 - 3*w - 13. Factor f(a).
-(a - 1)*(a + 1)*(a + 7)/4
Let m be 63/30 + (7 - 45/5). Let p(t) be the second derivative of m*t**2 + 1/60*t**4 - 1/15*t**3 + 0 + 6*t. Factor p(k).
(k - 1)**2/5
Factor 5*c**2 - 121 - 401 - 500*c + 17.
5*(c - 101)*(c + 1)
Let j(l) be the third derivative of -l**6/900 + l**5/150 - l**4/60 - 7*l**3/6 + 14*l**2. Let s(y) be the first derivative of j(y). Factor s(m).
-2*(m - 1)**2/5
Let w(p) be the first derivative of p**5/80 - 3*p**4/32 + p**3/4 + 11*p**2/2 - 5. Let g(h) be the second derivative of w(h). Determine m, given that g(m) = 0.
1, 2
Find n, given that -57*n + 24*n - 5 - 16*n**3 + 1 - 72*n**2 = 0.
-4, -1/4
Let h(r) be the second derivative of -r**6/180 + 7*r**5/60 - 13*r**4/72 + 62*r - 2. Suppose h(m) = 0. Calculate m.
0, 1, 13
Suppose -4*f = -6*t + 2*t + 24, f = -t + 14. Suppose -1 = 3*r - t. Determine b so that 2*b + r*b**2 + 2 + b - 2*b**2 = 0.
-2, -1
Let o = 6369137/551993 + 1/42461. Suppose -30/13*y**2 + 2/13*y**3 - 250/13 + o*y = 0. What is y?
5
Let m(j) be the third derivative of -j**6/24 + 13*j**5/12 + 4*j**2 + 7. Find c, given that m(c) = 0.
0, 13