 -k**3 - 3*k**4 + 4*k**4 - 1 - 1. Let x(j) = w*d(j) - 2*p(j). What is h in x(h) = 0?
-1, 0, 2
Let j(i) = -2*i**3 - i + 25. Let x be j(0). Let n = x - 71/3. Determine r, given that 0 + n*r - 2*r**2 + 2/3*r**3 = 0.
0, 1, 2
Factor -216*j + 436*j**4 - 27*j + 434*j**4 - 867*j**4 + 189*j**2 + 51*j**3.
3*j*(j - 1)*(j + 9)**2
Factor 18/17*i + 2/17*i**2 - 44/17.
2*(i - 2)*(i + 11)/17
Let q(p) be the second derivative of p**4/48 - 23*p**3/24 + 2*p + 2. What is u in q(u) = 0?
0, 23
Let x(z) be the second derivative of 25/18*z**3 - 29*z - 1/3*z**2 - 23/36*z**4 + 0. Factor x(d).
-(d - 1)*(23*d - 2)/3
Let v(l) be the second derivative of l**5/10 - 5*l**4/12 + 2*l**3/3 - l**2/2 - 16*l + 2. Find b, given that v(b) = 0.
1/2, 1
Let t = -4618 - -4622. What is m in 1/4*m**5 + 0*m + 0*m**2 + 1/4*m**3 + 0 - 1/2*m**t = 0?
0, 1
Let h be (11/(-33))/(27/450*-5). Find v such that h*v**2 - 2/9*v**3 + 4/3*v + 0 = 0.
-1, 0, 6
Suppose 1431*f - 1419*f = 0. Let n(d) be the third derivative of f*d**3 + d**2 + 0*d + 1/40*d**6 + 0 - 1/5*d**5 + 3/8*d**4. Factor n(m).
3*m*(m - 3)*(m - 1)
Factor 4/5*m**3 + 60*m - 148/5 - 156/5*m**2.
4*(m - 37)*(m - 1)**2/5
Let s be 9/((-12 - -9)/(2/(-14))). Factor -2/7*a + 1/7*a**2 - s.
(a - 3)*(a + 1)/7
Let r(o) = -o**2 + 15*o + 4. Let q be r(15). Let v(c) be the second derivative of 0 - 1/9*c**4 - c**2 + q*c - 5/9*c**3. Factor v(m).
-2*(m + 1)*(2*m + 3)/3
Let u(m) = -m**4 + 2*m. Let n(t) = 4*t**5 + 8*t**4 - 8*t**3 - 8*t. Let h(s) = n(s) + 4*u(s). Factor h(l).
4*l**3*(l - 1)*(l + 2)
Let r(d) = 38*d**2 - 48*d + 26. Let w(c) = -38*c**2 + 48*c - 34. Let x(b) = 3*r(b) + 2*w(b). Factor x(t).
2*(t - 1)*(19*t - 5)
Let z(m) = 4*m**3 - m**2 - 61*m - 128. Let b(u) = -20*u**3 + 2*u**2 + 306*u + 640. Let o(s) = -3*b(s) - 14*z(s). Factor o(n).
4*(n - 4)*(n + 2)*(n + 4)
Let j(d) = -d**4 + 12*d**3 + 6*d**2 - 44*d + 21. Let y(g) = -12*g**3 - 4*g**2 + 44*g - 20. Let p(r) = 4*j(r) + 3*y(r). Let p(x) = 0. Calculate x.
-2, 1, 3
Let j(p) be the third derivative of 1/120*p**5 + 0*p**3 + 0*p + 0 - 1/240*p**6 + 7*p**2 + 0*p**4. Determine g so that j(g) = 0.
0, 1
Let v = -584 - -9939/17. Let w = v - 38/85. Factor 1/5*u**2 - 1/5 - 1/5*u**3 + w*u.
-(u - 1)**2*(u + 1)/5
Let n(k) be the second derivative of 28*k - 1/60*k**6 - 1/6*k**3 + 1/20*k**5 + 0*k**2 + 0 + 1/24*k**4. Factor n(x).
-x*(x - 2)*(x - 1)*(x + 1)/2
Let z(a) = -16*a**2 + 12*a - 20. Let d(r) = r**2 + r + 1. Let f(w) = 3*w**2 + 4*w + 3. Let j(c) = 4*d(c) - f(c). Let n(h) = 12*j(h) + z(h). Factor n(p).
-4*(p - 2)*(p - 1)
Suppose -2*y + 2 = -2*o, -22*o + 21*o - 10 = -4*y. What is k in 3/4*k**3 - y*k - 3/8*k**4 + 9/8*k**2 + 3/2 = 0?
-2, 1, 2
Let x(f) = -f**3 + 4*f**2 + f - 2. Let h be x(4). Let w be h + ((-9)/(-3) - 0). Factor -w*k**2 + k**2 + 7*k**2.
3*k**2
Let b(a) be the third derivative of -a**10/3024 - a**9/2160 - a**8/6720 + 7*a**4/12 - 7*a**2. Let j(f) be the second derivative of b(f). Factor j(n).
-n**3*(2*n + 1)*(5*n + 1)
Suppose 19*u + 9*u = 20*u + 32. Find w such that -20/7*w**5 - 12/7*w**2 + 0 + 12/7*w**4 + u*w**3 - 8/7*w = 0.
-1, -2/5, 0, 1
Let j(g) be the second derivative of -3*g**6/65 + 21*g**5/130 - 8*g**4/39 + 4*g**3/39 - 85*g. Factor j(m).
-2*m*(m - 1)*(3*m - 2)**2/13
Let r(f) be the third derivative of -f**7/70 + 29*f**6/20 - 841*f**5/20 + 2*f**2 - 118*f. Let r(z) = 0. Calculate z.
0, 29
Let f(l) = 35*l**2 - 550*l - 154. Let o(y) = -70*y**2 + 1100*y + 306. Let s(g) = 7*f(g) + 3*o(g). Factor s(j).
5*(j - 16)*(7*j + 2)
Let f be 4*(4 + (-770)/187 + 69/442). Factor 16/13*y**2 - f*y - 16/13 + 2/13*y**3.
2*(y - 1)*(y + 1)*(y + 8)/13
What is a in 0 + 2*a - 6*a**2 - 9/2*a**3 + 7/2*a**4 = 0?
-1, 0, 2/7, 2
Let r(h) be the third derivative of 4/9*h**3 + 0 - 1/30*h**5 + 0*h**4 - 8*h**2 + 1/180*h**6 + 0*h. Factor r(a).
2*(a - 2)**2*(a + 1)/3
Let y = -1066/3 - -7516/21. Find r such that 4/7 + y*r + 10/7*r**3 + 24/7*r**2 = 0.
-1, -2/5
Let c(d) be the second derivative of -5*d**4/12 + 10*d**3/3 + 25*d**2/2 - 6*d + 1. Find u, given that c(u) = 0.
-1, 5
Let s(c) be the second derivative of -c**4/30 - 44*c**3/15 - 484*c**2/5 + 12*c + 3. Factor s(v).
-2*(v + 22)**2/5
Factor -2645 - 230*a - 5*a**2 + 5*a**2 - 8*a**2 + 3*a**2.
-5*(a + 23)**2
Let v be (16/(-88))/(288/(-352)). Determine x so that -v*x**2 - 2/9*x**3 - 2/3 + 10/9*x = 0.
-3, 1
Let d(r) be the first derivative of -r**4/6 - 62*r**3/9 - 85*r**2 - 150*r + 18. Factor d(m).
-2*(m + 1)*(m + 15)**2/3
Suppose -6 + 57 = 17*a. Let x(v) be the second derivative of 1/36*v**4 + 1/18*v**a + 0 + 0*v**2 + 2*v. Determine k so that x(k) = 0.
-1, 0
Let p(r) be the first derivative of -3*r**4/20 - 8*r**3/5 - 63*r**2/10 - 54*r/5 - 37. What is w in p(w) = 0?
-3, -2
Factor 1/3*z**4 + 12*z + 0 - 4*z**2 - 5/3*z**3.
z*(z - 6)*(z - 2)*(z + 3)/3
Let z(i) be the second derivative of i**5/110 + 4*i**4/33 - 3*i**3/11 + 62*i - 1. Factor z(j).
2*j*(j - 1)*(j + 9)/11
Let t = -102 - -105. Suppose t*w**5 - 85*w**4 - 80*w - 32 + w**5 + 4*w**3 + 101*w**4 - 56*w**2 = 0. What is w?
-2, -1, 2
Let k(a) be the first derivative of a**4/45 + a**3/45 - a**2/15 - 5*a - 3. Let d(v) be the first derivative of k(v). Suppose d(q) = 0. What is q?
-1, 1/2
Let b(c) be the first derivative of -14/3*c**3 + 0*c - 2*c**5 - 1/3*c**6 - 9/2*c**4 - 19 - 2*c**2. Suppose b(i) = 0. Calculate i.
-2, -1, 0
Let f(l) be the first derivative of -9*l**4/16 - l**3/2 - l**2/8 - 819. Factor f(r).
-r*(3*r + 1)**2/4
Let x(h) be the first derivative of 6*h**2 - 108*h + 20. Let y be x(9). Factor 1/5*b**2 + y*b - 1/5.
(b - 1)*(b + 1)/5
Let z(n) be the first derivative of n**6/3 + n**5/4 - 5*n**4/12 - 27*n + 8. Let q(o) be the first derivative of z(o). Factor q(v).
5*v**2*(v + 1)*(2*v - 1)
Let o = 39 + -36. Factor 2*f + 6*f**2 - o*f + f**2 + 3*f.
f*(7*f + 2)
Factor 63/5*w**3 - 3/5*w**5 - 12/5*w**4 + 0*w + 0*w**2 + 0.
-3*w**3*(w - 3)*(w + 7)/5
Let r be 152/56 - 4/(-14). Determine c so that -17*c + 12*c**4 + 1 + 12*c**r - 4 + 5*c - 9*c**2 = 0.
-1, -1/2, 1
Let j = -3335 + 23357/7. Determine z, given that -2/7*z**3 - 18/7*z - j*z**2 + 0 = 0.
-3, 0
Let w = 45 - 42. Factor 20 - 4*f - w + 7 - 4*f**2.
-4*(f - 2)*(f + 3)
Let f(r) be the third derivative of r**5/300 + 2*r**4/15 + 32*r**3/15 + 3*r**2 - r. Factor f(a).
(a + 8)**2/5
Let g(q) be the first derivative of -245*q**6/6 + 217*q**5 + 170*q**4 + 100*q**3/3 + 54. Factor g(c).
-5*c**2*(c - 5)*(7*c + 2)**2
Let u be -4*260/(-78)*3/(-4). Let b be -5 - u - 2 - 0. Let -3/2*q**2 - 1/2*q**b + 1/2*q + 3/2 = 0. Calculate q.
-3, -1, 1
Factor -5*l**2 + 296*l + 212*l - 10245 - 28*l - 1275.
-5*(l - 48)**2
Let w(a) = -a**3 + 46*a**2 + 203*a - 147. Let c be w(50). Solve 0 - 4/3*g + 8/3*g**c + 0*g**4 - 4/3*g**5 + 0*g**2 = 0.
-1, 0, 1
Suppose 45*z + 1019*z**3 - 48*z**5 - 55*z**3 + 360*z**2 - 388*z**4 - 627*z - 202*z + 160 = 0. What is z?
-10, -1, 1/4, 2/3, 2
Let s be ((-6)/9)/(4/(-66)). Let y = -9 + s. Factor 2*a**y + 0*a**2 - 12*a**3 + 4*a - 9*a**4 + 0*a**2 - 1.
-(a + 1)**2*(3*a - 1)**2
Solve -2800*f**2 + 2452*f**2 - 1356*f - 3*f**3 + 618 - 1962 = 0.
-112, -2
Find v, given that 3/2*v**2 - 33/2*v - 18 = 0.
-1, 12
Let m(c) be the third derivative of c**6/540 + c**5/45 + 5*c**4/108 + 38*c**2 + 2. Factor m(r).
2*r*(r + 1)*(r + 5)/9
Find y such that 276/5*y - 3/5*y**2 - 6348/5 = 0.
46
Let j(i) = -i**2 + 3*i + 2. Suppose 2*p + 0*w = -3*w - 19, -13 = -p + 3*w. Let b(h) = h + 1. Let m(y) = p*b(y) + j(y). Factor m(r).
-r*(r - 1)
Let k(o) be the third derivative of -1/90*o**5 + 0*o - 1/3*o**3 - 1/9*o**4 - 29*o**2 + 0. Factor k(d).
-2*(d + 1)*(d + 3)/3
Let 40*t**2 + 13*t**3 + 2*t**3 - 15*t**3 + 38*t + 2*t**3 = 0. What is t?
-19, -1, 0
Factor -1/8*x**2 - 44521/8 + 211/4*x.
-(x - 211)**2/8
Let c(q) be the first derivative of q**4/4 - 2*q**3/3 - 55. What is a in c(a) = 0?
0, 2
Let u(p) be the third derivative of p**8/2184 - p**7/1365 - 11*p**6/780 + 29*p**5/390 - p**4/6 + 8*p**3/39 + 49*p**2. Solve u(a) = 0 for a.
-4, 1, 2
Let j be 1/((-5)/40*-4). Factor -2*v**2 + 3*v**j - 14 + 13.
(v - 1)*(v + 1)
Factor -8*d - 28*d - 14*d**2 + 49*d + d**3.
d*(d - 13)*(d - 1)
Determine r so that -36*r**2 + 176/5*r**4 + 4/5 - 18*r**5 + 82/5*r + 8/5*r**3 = 0.
-1, -2/45, 1
Solve 2*h**3 - 254*h**2 + 160*h + 244*h + 8192 + 7532*h = 0.
-1, 64
Let x(l) be the third derivative of l**5/150 - 8*l**4/15 + 256*l**3/15 - 202*l**2. Factor x(w).
2*(w