0 - 2/3*m**3 + m. Find a, given that o(a) = 0.
-1
Let z(l) be the second derivative of l**7/42 - l**6/30 - 9*l**5/20 - 11*l**4/12 - 2*l**3/3 - 472*l. Solve z(j) = 0 for j.
-1, 0, 4
Let b(x) = x**3 - x**2 - 3*x + 4. Let m be b(2). Let o(f) = -f**2 + 3*f - 4. Let u(l) = 1. Let g(w) = m*u(w) + o(w). Suppose g(z) = 0. Calculate z.
1, 2
Let r(d) = 20*d**2 + 40*d + 5. Let h(a) = -9*a**2 - 20*a - 2. Let w(c) = 5*h(c) + 2*r(c). Factor w(i).
-5*i*(i + 4)
Let w be (5 - -17 - 10) + -10. Let r(d) be the third derivative of -1/20*d**5 + 0 + 1/2*d**3 + 1/4*d**4 + 0*d - 1/20*d**6 + w*d**2. Find b, given that r(b) = 0.
-1, -1/2, 1
Factor -2/13*m**3 + 0 + 4/13*m**2 + 6/13*m.
-2*m*(m - 3)*(m + 1)/13
Suppose 0 - 34/5*z + 2/5*z**2 = 0. What is z?
0, 17
Let x(d) = 8*d**2 + 53*d - 6. Let k(i) = -15*i**2 - 105*i + 10. Let s(n) = 3*k(n) + 5*x(n). Find w such that s(w) = 0.
-10, 0
Factor 0 + 2/9*u**4 + 10/9*u**3 + 8/9*u**2 + 0*u.
2*u**2*(u + 1)*(u + 4)/9
Let o = -144001/7 - -20572. Factor -3/7*g**4 - 3/7 + 3/7*g + 6/7*g**2 - 6/7*g**3 + o*g**5.
3*(g - 1)**3*(g + 1)**2/7
Suppose 21*x + 1 = -154*x + 1. Suppose -3/5*r**3 + x + 0*r + 3/5*r**2 = 0. What is r?
0, 1
Let n(p) be the first derivative of -1/8*p**4 + 1/36*p**6 - 8 + 0*p + 1/6*p**2 - 1/30*p**5 + 1/18*p**3. Factor n(w).
w*(w - 2)*(w - 1)*(w + 1)**2/6
Let o(v) = -v**3 + 5*v**2 - 2. Let r(y) = -3*y**3 + 16*y**2 - 5. Let w be (0 - 3 - -9) + 1. Let q(l) = w*o(l) - 2*r(l). Factor q(d).
-(d - 2)**2*(d + 1)
Let t(l) = -2*l + 3 + 0*l - 3 - 2. Let p be t(-2). What is j in 3*j**4 - 7*j**5 + 7*j**3 - 7*j**4 + 4*j**2 + 2*j**4 - 2*j**p = 0?
-1, -2/7, 0, 1
Let u(o) be the first derivative of -1/3*o**3 + 7/2*o**2 - 10*o + 43. Suppose u(p) = 0. Calculate p.
2, 5
Let i(f) = -f**3 + f + 1. Let g(v) = 8*v**3 - 22*v**2 - 6*v - 6. Let r(k) = -g(k) - 6*i(k). Find w such that r(w) = 0.
0, 11
Let r(w) be the third derivative of -1/30*w**4 + 0*w + 1/1800*w**6 - 11/6*w**3 + 0 - 4*w**2 - 1/200*w**5. Let y(m) be the first derivative of r(m). Factor y(b).
(b - 4)*(b + 1)/5
Let h = 2 + 2. Suppose -h*b + 12 = -0*b. What is q in -2*q**b - 3*q**2 - 3*q + 9*q**2 - q**3 = 0?
0, 1
Let a(h) be the first derivative of h**4/40 + h**3/5 + 3*h**2/5 + 4*h/5 + 221. Factor a(t).
(t + 2)**3/10
Let j(l) = l**3 - l**2 - l. Let s(h) = 16*h**3 + 60*h**2 + 78*h + 24. Let x(y) = -2*j(y) + s(y). Let x(k) = 0. Calculate k.
-2, -3/7
Determine p, given that p**3 - 141*p**2 - 24*p + 111*p**2 + 8*p**3 = 0.
-2/3, 0, 4
Let n(z) be the second derivative of z**4/48 + 5*z**3/12 + 102*z. Suppose n(d) = 0. What is d?
-10, 0
Let c(m) = -m**2 + 20*m - 24. Suppose 4*z = p - 2, 4*p = 3*p - 3*z + 2. Let s(x) = -x**2 + 41*x - 48. Let r(k) = p*s(k) - 5*c(k). Factor r(i).
3*(i - 4)*(i - 2)
Let u(o) be the third derivative of o**5/75 - 7*o**4/30 + 4*o**3/3 + 14*o**2. Factor u(h).
4*(h - 5)*(h - 2)/5
Let b(o) = 2*o**2 - 2*o. Let h = -3 - -6. Let p(l) = 5*l - 39 - h*l**2 - 2*l**2 + 39. Let d(y) = -11*b(y) - 4*p(y). Factor d(n).
-2*n*(n - 1)
Let m be 1*4 + (-144)/(720/20). Let 1/2*r**5 + m - 3/2*r - 2*r**4 + 2*r**2 + r**3 = 0. What is r?
-1, 0, 1, 3
Let m(i) be the first derivative of -5/2*i**6 + 15 + 0*i**2 - 165/4*i**4 - 15*i**3 - 19*i**5 + 0*i. Find c such that m(c) = 0.
-3, -1/3, 0
Let s(w) be the second derivative of -w**6/255 + 6*w**5/85 - 35*w**4/102 + 8*w**3/17 + 67*w - 2. Find f, given that s(f) = 0.
0, 1, 3, 8
Let d(g) be the third derivative of -7*g**6/24 + 113*g**5/6 - 1405*g**4/24 + 155*g**3/3 - 14*g**2 - 4. Factor d(q).
-5*(q - 31)*(q - 1)*(7*q - 2)
Suppose -44 = 62*i - 73*i. Suppose -63/5*q**3 - 6/5*q**2 - 24/5 + 27/5*q**i + 12*q = 0. What is q?
-1, 2/3, 2
Factor -4/3*p + 0 + 32/9*p**2 + 0*p**4 + 4/9*p**5 - 8/3*p**3.
4*p*(p - 1)**3*(p + 3)/9
Let h(o) = 11*o**2 - 2*o - 8. Let r be h(4). Factor -r*q + 867 + 413 + 29*q**2 - 24*q**2.
5*(q - 16)**2
Let -18*l + 18 + 15*l**4 + 40*l**5 + 14*l**3 + 129*l**4 - 98*l**2 + 28*l**3 = 0. What is l?
-3, -1, -3/5, 1/2
Determine y, given that 7*y**2 - 17*y**2 - 24*y + 10*y**2 + 6*y**3 - 32 - 2*y**4 + 16*y**2 = 0.
-2, -1, 2, 4
Suppose 5*p - 11 = -5*i + 3*p, 2*p - 8 = -4*i. Factor 4*a**i - 2244*a + a**4 + 3*a**2 + 2244*a.
a**2*(a + 1)*(a + 3)
Suppose -35*m**3 - 11*m**4 - 25*m**4 + 60*m + 72*m**4 - 40*m**2 - 26*m**4 + 5*m**5 = 0. Calculate m.
-3, -2, 0, 1, 2
Factor b**2 + 3*b**2 - 3*b - b**2 + 3*b**3 - 11*b - 4*b.
3*b*(b - 2)*(b + 3)
Suppose 45*b - 10 - 23*b**2 - 24*b**2 - 45*b**3 + 35*b**4 + 22*b**2 = 0. What is b?
-1, 2/7, 1
Factor 308/3*n - 1/3*n**2 - 23716/3.
-(n - 154)**2/3
Let k(a) be the third derivative of -1/180*a**6 + 2/3*a**3 + 0*a - 1/12*a**4 + 0 + 5*a**2 + 1/30*a**5. Let t(l) be the first derivative of k(l). Factor t(i).
-2*(i - 1)**2
Let k(z) = -18*z + 3. Suppose 26*f = 22*f. Let m be k(f). Find x such that -2/11*x**2 - 2/11*x**m + 8/11 + 8/11*x = 0.
-2, -1, 2
Suppose -24/7*q**2 - 48*q - 768/7 + 3/7*q**3 = 0. Calculate q.
-4, 16
Let s be 4/10 - 0/(-1 - -7). Let r(m) = -m**2 - 17*m + 20. Let b be r(-18). Solve s + 2/5*h**b + 4/5*h = 0 for h.
-1
Factor 0 - o**2 + 1/4*o**3 + 1/4*o**4 - o.
o*(o - 2)*(o + 1)*(o + 2)/4
Let z(t) = -4*t**4 - t**3 + 5*t**2 - 2. Suppose -4 = -4*m + 3*m + o, 5*m = 4*o + 15. Let r(x) = x**4 + x**3 + x**2 - 1. Let y(c) = m*r(c) - z(c). Factor y(q).
3*(q - 1)**2*(q + 1)**2
Let l(g) be the second derivative of g**6/60 + 7*g**5/20 + 8*g**4/3 + 8*g**3 + 168*g. Factor l(i).
i*(i + 4)**2*(i + 6)/2
Let g(u) = -u**3 - u + 9. Let f be g(0). Factor -3*s**3 + 4*s + s - s - f*s**3 + 8*s**2.
-4*s*(s - 1)*(3*s + 1)
Let y(x) be the first derivative of x**4 - 12/5*x**5 + 0*x + 4*x**3 - 4*x**2 - 14 + 2/3*x**6. Find d such that y(d) = 0.
-1, 0, 1, 2
Factor 18 + 54*s**2 - 38*s**2 + 15*s + 280*s + 79*s**2 + 12.
5*(s + 3)*(19*s + 2)
Let n = -11 - -16. Let i be 0*4/12 + n. Solve -5*l**i + 6*l**4 - 4*l**5 - 3*l**3 + 5*l**5 + l**5 = 0 for l.
0, 1
Let h(d) = 6*d**2 - 4*d + 2. Let m be h(1). Suppose -m*q - 20 = -2*z, -4 + 2 = z + q. Suppose 2/5*n**z - 2/5*n + 0 = 0. Calculate n.
0, 1
Suppose g - 3 = -4*m, -5*m = 3*g - 24 - 20. Suppose -75*w + 45*w**2 - 9*w**3 + 58 - g + 4*w**3 = 0. What is w?
1, 7
Let h = 24241/16158 + -2/8079. Find q such that 0 + 3/2*q - h*q**2 = 0.
0, 1
Let g(j) be the first derivative of 0*j**2 - 30 + 0*j - 1/3*j**3 - 3/2*j**4 - 7/4*j**5. Factor g(t).
-t**2*(5*t + 2)*(7*t + 2)/4
Find p, given that 3/7*p + 3/7*p**5 + 12/7 + 12/7*p**4 - 6/7*p**3 - 24/7*p**2 = 0.
-4, -1, 1
Let b be -6 - -8 - 20*(-15)/(-138). Let r = b - -74/161. Solve -r*y**2 + 6/7*y + 4/7 - 6/7*y**3 - 2/7*y**4 = 0.
-2, -1, 1
Let v(r) = 258*r**3 - 284*r**2 - 458*r**3 + 60*r + 1600*r**4 + 16 - 268*r**3. Let n(m) = -m**3 - m. Let a(z) = 12*n(z) + v(z). Factor a(k).
4*(4*k + 1)**2*(5*k - 2)**2
Factor -117*f**3 - 630*f**4 - 245*f**5 - 46*f**2 - 183*f**3 + 6*f**2.
-5*f**2*(f + 2)*(7*f + 2)**2
Let o(s) = -s**5 + 6*s**3 + s**2 + 0*s**4 - s**4 - s - 7*s**3. Let v(y) = 2*y**5 - 23*y**4 + 12*y**3 + 3*y**2 - 3*y. Let b(h) = -3*o(h) + v(h). Factor b(u).
5*u**3*(u - 3)*(u - 1)
Let m = -32 - -35. Find j, given that 5*j**3 - 5*j**3 + 3*j**m + 18*j**2 = 0.
-6, 0
Let x(p) = -p**2 - 2*p + 12. Let r be x(0). Let m be (1 - 5)*((-2)/r)/1. Determine i, given that -2/9*i**2 + 4/9 + m*i**3 - 2/9*i**4 - 2/3*i = 0.
-1, 1, 2
Let y be (2/(-84))/((-7)/189). Let o(n) be the third derivative of -3/28*n**4 + y*n**3 + 0*n + 0 + n**2 + 1/140*n**5. Factor o(j).
3*(j - 3)**2/7
Let s(d) be the first derivative of -1/3*d**3 + 1/720*d**6 + 0*d + 5 + 1/60*d**5 + 0*d**2 + 1/12*d**4. Let p(t) be the third derivative of s(t). Factor p(n).
(n + 2)**2/2
Let l(v) be the second derivative of -v**6/5 - 11*v**5/5 + 22*v**4/3 - 10*v**3/3 - 9*v**2 - 432*v. Let l(r) = 0. What is r?
-9, -1/3, 1
Suppose -12 = -0*q - 4*q. Let s(t) = -t**3 + 3*t**2 + t - 1. Let m be s(q). Find w, given that w**2 + 5*w**2 + 0*w**m - 2*w**3 + 0*w - 6*w + 2 = 0.
1
Let u(x) = x**4 + 2*x**3 + x**2 - x - 1. Let q(k) = k**5 + 13*k**4 + 46*k**3 + 70*k**2 + 38*k - 2. Let c(t) = -2*q(t) + 4*u(t). Suppose c(o) = 0. What is o?
-5, -2, 0
Let y(p) = -p**5 + 3*p**3. Let a(v) be the third derivative of v**5/60 - 8*v**2. Let j(h) = 10*a(h) - 5*y(h). What is u in j(u) = 0?
-2, 0, 1
Let m(a) be the second derivative of -4*a**6/15 + 7*a**5/10 + a**4 - 7*a**3/3 - 2*a**2 - 13*a - 1. Determine h so that m(h) = 0.
-1, -1/4, 1, 2
Let f(w) be t