*4.
4*p**2*(p - 1)*(p + 2)
Let f(d) = -2*d**2 + 48*d - 286. Let m(b) = -2*b**2 + 48*b - 285. Let i(t) = -3*f(t) + 2*m(t). What is n in i(n) = 0?
12
Let h = 11 + -15. Let w(l) = 3*l**2 - 2*l + 2. Let c(t) = 10*t**2 - 7*t + 7. Let y(v) = -6*v + 2. Let s be y(-2). Let g(r) = h*c(r) + s*w(r). Factor g(i).
2*i**2
Let i = 53/220 - -1/110. Let u(b) be the first derivative of -1/4*b**2 + 1/12*b**3 - 2 + i*b. Solve u(q) = 0.
1
Let p be (0*1/3)/(-2). Let -1/4*z - 1/4*z**3 + 1/2*z**2 + p = 0. Calculate z.
0, 1
Suppose -l = -5*b, -2*l = -7*l - 2*b. Let g(f) be the third derivative of -1/2*f**4 + 3*f**3 + 0 - f**2 + l*f + 1/30*f**5. Find m such that g(m) = 0.
3
Let q(z) be the first derivative of -z**6/2160 + z**5/180 - z**4/36 + 4*z**3/3 + 4. Let a(b) be the third derivative of q(b). Determine h so that a(h) = 0.
2
Suppose -3*b - 4*w - 29 = -6*b, -2*b - w + 1 = 0. Let i(f) be the first derivative of -2/3*f**b + 0*f**2 - 1/2*f**4 - 3 + 0*f. Factor i(u).
-2*u**2*(u + 1)
Let v(m) be the second derivative of 0*m**2 + 0 + 1/10*m**5 + 2*m + 1/3*m**4 + 1/3*m**3. Suppose v(n) = 0. What is n?
-1, 0
Let m(g) be the first derivative of g**6/6 - 4*g**5/5 - g**4/2 + 4*g**3 + 9*g**2/2 + 10. Factor m(l).
l*(l - 3)**2*(l + 1)**2
Suppose 10*l - 5*l - 6 = -4*r, 4*l = 3*r + 11. Determine w so that 2*w**2 - w**3 - l + 3*w - 4*w + 2*w = 0.
-1, 1, 2
Let w(d) be the third derivative of -2*d**7/945 + d**5/45 + d**4/27 + 9*d**2. Suppose w(s) = 0. Calculate s.
-1, 0, 2
Suppose -2*p = 2*m, 3 = -m - 0. Let w(k) be the second derivative of 0 + 2/25*k**5 - 2/15*k**p + 3*k + 1/30*k**4 - 1/25*k**6 + 0*k**2. Solve w(i) = 0.
-2/3, 0, 1
Let r(d) be the first derivative of -1 - 3*d + 0*d**3 + 0*d**2 + 1/54*d**4 + 1/90*d**5. Let g(q) be the first derivative of r(q). Factor g(x).
2*x**2*(x + 1)/9
Suppose 0 - 20/7*k**3 + 8/7*k - 12/7*k**2 = 0. What is k?
-1, 0, 2/5
Let a(x) be the third derivative of -x**9/60480 + x**8/10080 + x**7/5040 - x**6/360 + x**5/60 + 4*x**2. Let d(h) be the third derivative of a(h). Factor d(m).
-(m - 2)*(m - 1)*(m + 1)
Let v(h) be the third derivative of -h**8/3360 + h**7/630 + h**6/360 - h**5/30 - h**4/24 + 2*h**2. Let q(y) be the second derivative of v(y). Factor q(n).
-2*(n - 2)*(n - 1)*(n + 1)
Factor -4/5 + 2/5*u**2 - 2/5*u.
2*(u - 2)*(u + 1)/5
Let k(y) = -y - 16. Let t be k(-16). Let i(z) be the first derivative of 0*z**2 + 1/3*z**3 + 1/4*z**4 + t*z + 2. Determine p so that i(p) = 0.
-1, 0
Let m(k) = -6*k**2 + 14*k + 49. Let p(q) = -q**2. Let v(n) = 3*m(n) - 21*p(n). Let v(i) = 0. What is i?
-7
Let g(u) be the second derivative of -u**7/112 + u**6/80 - 2*u + 1. Determine l so that g(l) = 0.
0, 1
Let c(f) be the second derivative of -f**5/70 + 5*f**4/42 + 2*f - 3. Solve c(d) = 0 for d.
0, 5
Suppose 4*c - 5*z = 8, 8*c - 4 = 6*c - z. Determine m so that 5/2*m**3 + c - 13/2*m**2 + 2*m = 0.
-2/5, 1, 2
Let r(h) be the first derivative of h**6/15 + 3*h**5/10 + h**4/2 + h**3/3 - 6*h - 2. Let w(u) be the first derivative of r(u). Factor w(c).
2*c*(c + 1)**3
Find i such that 2/3*i**5 + 0*i + 0 + 2/3*i**4 + 0*i**3 + 0*i**2 = 0.
-1, 0
Let d(w) be the first derivative of -w**8/840 - w**7/588 + 4*w**6/315 - w**5/105 + w**3/3 - 1. Let x(h) be the third derivative of d(h). What is u in x(u) = 0?
-2, 0, 2/7, 1
Let j = 0 + -6. Let g be (j - -6)*(-2)/(-4). Determine x, given that -1/4*x**2 + 0 - 1/4*x**4 + 1/2*x**3 + g*x = 0.
0, 1
Let l(c) be the second derivative of c**4/21 + 2*c**3/3 - 16*c**2/7 - c. Factor l(b).
4*(b - 1)*(b + 8)/7
Factor 0 + g**4 + 3/4*g**5 + 0*g**2 + 1/4*g**3 + 0*g.
g**3*(g + 1)*(3*g + 1)/4
Let t(p) be the second derivative of -p**5/150 + p**4/45 - p**3/45 - 22*p. Factor t(z).
-2*z*(z - 1)**2/15
Let t(l) be the first derivative of 1 + 0*l + 0*l**4 + 4/9*l**3 + 1/3*l**2 - 1/9*l**6 - 4/15*l**5. Suppose t(s) = 0. Calculate s.
-1, 0, 1
Let f(z) be the second derivative of -z**4/4 - z**3 + 12*z**2 + 36*z. Suppose f(j) = 0. Calculate j.
-4, 2
Suppose -18 = -4*m - 6. Factor -3*n**4 - 3*n**3 + 5*n**m + 4*n**2 - 3*n**2 + 4*n**4.
n**2*(n + 1)**2
Find h such that 1/5*h**2 - 2/5*h + 1/5 = 0.
1
Factor 9*c**3 + 4*c**2 - 8*c**3 - 2*c - 3*c**3.
-2*c*(c - 1)**2
Let d(z) be the first derivative of -7/12*z**3 + z - 3 - 3/2*z**2. Factor d(r).
-(r + 2)*(7*r - 2)/4
Let m(i) be the third derivative of 0*i**3 + 13/480*i**6 + 0*i + 1/48*i**4 - 4*i**2 + 1/210*i**7 + 0 + 11/240*i**5. What is x in m(x) = 0?
-2, -1, -1/4, 0
Let f(m) be the second derivative of -1/30*m**4 - 1/50*m**5 - 6*m + 1/5*m**2 + 1/15*m**3 + 0. Factor f(j).
-2*(j - 1)*(j + 1)**2/5
Find w, given that 3/2*w + 3/2*w**2 - 9 = 0.
-3, 2
Let s(f) = -f**3 + 3*f**2 + 3*f + 2. Let w be s(4). Let i be (w/3)/2*-12. Factor -2 + 4*d + 2*d**4 - d**3 - i*d**3 + d**3.
2*(d - 1)**3*(d + 1)
Let j(n) be the third derivative of n**8/336 - n**7/210 - n**6/120 + n**5/60 - 2*n**2. Factor j(u).
u**2*(u - 1)**2*(u + 1)
Let s(q) be the second derivative of q**8/2520 + q**7/945 - 7*q**6/1080 + q**5/90 + q**4/3 - 7*q. Let m(d) be the third derivative of s(d). Factor m(o).
2*(o + 2)*(2*o - 1)**2/3
Let i(v) be the third derivative of -v**8/6720 - v**7/3360 + v**6/1440 + v**5/480 + v**3/3 - 3*v**2. Let x(n) be the first derivative of i(n). Factor x(y).
-y*(y - 1)*(y + 1)**2/4
Let y(c) be the second derivative of c**7/21 + 4*c**6/15 - 7*c**4/3 - 17*c**3/3 - 6*c**2 - 8*c. Solve y(t) = 0 for t.
-3, -1, 2
Let v(a) be the second derivative of a**5/110 - a**4/66 + a. Solve v(o) = 0.
0, 1
Let s(v) = -v**3 - 2*v**2 + 3*v. Let z be s(-3). Solve -1/5*j + 2/5*j**2 + 1/5*j**5 - 2/5*j**4 + z*j**3 + 0 = 0 for j.
-1, 0, 1
Suppose -8*u + 58 - 194 = 0. Let i be (-3 + 0)/(17/u). Determine h, given that -8/5*h - 2/5 - 12/5*h**2 - 8/5*h**i - 2/5*h**4 = 0.
-1
Factor -498 + 0*t**3 + 490 + 7*t**3 + 26*t**2 + 20*t.
(t + 2)**2*(7*t - 2)
Let j(z) be the first derivative of -z**4/6 - 2*z**3/9 + 2*z**2/3 - 1. Let j(b) = 0. What is b?
-2, 0, 1
Suppose 4*k = 2*k + 4. Determine j so that 0*j**k + 1/3*j**4 + 0*j + 1/3*j**3 + 0 = 0.
-1, 0
Suppose -2*s + 3*s = -5*n + 28, -22 = s - 5*n. Suppose -o + 1 = -s. Factor -1/2*r + r**3 - 1/2*r**5 + 0 + 0*r**o + 0*r**2.
-r*(r - 1)**2*(r + 1)**2/2
Factor -q**4 + 4*q**3 - 2*q**4 - 2 - 4*q + 5*q**4.
2*(q - 1)*(q + 1)**3
Let q(k) be the third derivative of k**9/3024 - k**8/560 + k**6/90 + k**3/2 - 8*k**2. Let g(b) be the first derivative of q(b). Factor g(i).
i**2*(i - 2)**2*(i + 1)
Suppose 0 = 5*p - o + 12, 0 = 4*p - 3*p - o + 4. Let j be (-21)/(-9) - p/3. What is n in 2*n**4 - 2*n**j - 4*n**4 + 4*n**3 = 0?
0, 1
Suppose 0*k = -5*q - k + 29, 2*q - 16 = 4*k. Factor -4 - 3*f**2 - 5*f**2 + 24*f - q*f - 6*f**2.
-2*(f - 1)*(7*f - 2)
Let x(t) be the second derivative of t**4/4 + 3*t**3/2 + 3*t**2 - 7*t. What is a in x(a) = 0?
-2, -1
Let g = 100 + -100. Find i such that -1/3*i**5 + 2/3*i**3 - 1/3*i + 0 + 0*i**2 + g*i**4 = 0.
-1, 0, 1
Let f(z) = z**3 - 12*z**2 - 14*z + 15. Let u be f(13). Solve -3*m**u + 5*m**3 - m - 2*m**3 - m**4 + 2*m = 0 for m.
0, 1
Let o(i) be the second derivative of -i**9/45360 + i**8/20160 + 5*i**4/12 + 3*i. Let r(x) be the third derivative of o(x). Factor r(u).
-u**3*(u - 1)/3
Let j(f) be the third derivative of 1/210*f**7 + 0 - 3*f**2 + 0*f - 1/12*f**4 + 0*f**5 + 1/60*f**6 - 1/6*f**3. Factor j(q).
(q - 1)*(q + 1)**3
Let f(b) be the second derivative of -2*b**7/7 + 14*b**6/15 - b**5 + b**4/3 - 43*b. Factor f(z).
-4*z**2*(z - 1)**2*(3*z - 1)
Let t(m) be the second derivative of m**6/120 - m**5/40 - m**4/16 - 5*m - 3. Let t(r) = 0. Calculate r.
-1, 0, 3
Solve -1/2*d**3 - 3/2*d - 1/3 - 5/3*d**2 = 0.
-2, -1, -1/3
Let g(p) be the first derivative of -2 - 1/3*p**3 + 1/4*p**4 + 0*p + 0*p**2. Factor g(m).
m**2*(m - 1)
Suppose -k**5 + 0*k**3 - k**3 - 52*k**4 + 50*k**4 = 0. Calculate k.
-1, 0
Suppose 5*h + 40 = 5*n, -4*n + 5*h + 28 = 2*h. Find u such that -u**4 - 5*u**2 + 1 + 2*u**4 + 3*u**2 + 0*u**n = 0.
-1, 1
Let n be ((-10)/8)/(4/(-16)). Factor -2*k - 9*k**2 + n*k**2 + 4*k + 2*k**2.
-2*k*(k - 1)
Let i(c) be the second derivative of -c**7/63 + c**6/45 + c**5/10 - c**4/18 - 2*c**3/9 + 6*c. Solve i(y) = 0.
-1, 0, 1, 2
Let m(g) = -2*g + 5. Let d be m(4). Let b be 3 + d/1 - -3. Factor 0 + 0*k**2 + 2/9*k**b - 2/9*k.
2*k*(k - 1)*(k + 1)/9
Let p(m) = -m**3 - 2*m**2 + m - 2. Let b be p(-3). Let s(t) = 2*t. Let a be s(1). Factor b*l**2 - 4