(j) + 2*f(j). Factor r(g).
(g - 2)**2
Let l(p) be the first derivative of -p**4/6 - 2*p**3/3 - p**2 - 2*p - 3. Let b(w) be the first derivative of l(w). Factor b(a).
-2*(a + 1)**2
Factor 1/6*t**5 + 0 - 1/2*t**3 - 1/6*t**4 + 1/3*t + 1/6*t**2.
t*(t - 2)*(t - 1)*(t + 1)**2/6
Let o(s) be the first derivative of -2*s**6/3 + 16*s**5/5 - 5*s**4 + 8*s**3/3 + 8. Factor o(n).
-4*n**2*(n - 2)*(n - 1)**2
Let p(q) = q**2 - 6*q + 10. Let z be p(4). Let k(v) be the first derivative of 1/3*v**3 - 1/2*v**z + 0*v - 1. Let k(h) = 0. What is h?
0, 1
Let p(r) be the first derivative of r**4/12 + r**3/9 - r**2/3 + 12. Factor p(n).
n*(n - 1)*(n + 2)/3
Let g(f) be the second derivative of 4*f + 1/4*f**3 + 0*f**5 + 0*f**2 - 1/4*f**4 - 1/28*f**7 + 1/10*f**6 + 0. Factor g(k).
-3*k*(k - 1)**3*(k + 1)/2
Factor 0 - 3/2*v**3 + 3*v**2 - 3/2*v.
-3*v*(v - 1)**2/2
Suppose 4*h - 16 = v, -2 = 2*h + v - 4. Suppose -3*n + 1 = 2*j - 1, -3*j = 5*n - 4. Factor 1/3*p - 1/3 + 1/3*p**n - 1/3*p**h.
-(p - 1)**2*(p + 1)/3
Let u be (-85)/(-10) + (-1)/(-2). Let i be 7/(-5) + 27/u. Factor -i*t**2 + 8/5*t - 2/5.
-2*(2*t - 1)**2/5
Suppose a = -3*c + 12, -a + 5*c = 2*a + 6. Let k be 4/(-8)*(-2)/a. Factor -k + 1/3*t**3 - 1/3*t + 1/3*t**2.
(t - 1)*(t + 1)**2/3
Suppose 0 - 2 = -b. Let i = 417/560 - -3/560. Factor 0 + 3/4*z**b + i*z**4 + 0*z - 3/2*z**3.
3*z**2*(z - 1)**2/4
Let t(w) be the third derivative of w**7/2520 - w**4/12 + w**2. Let k(d) be the second derivative of t(d). Find b such that k(b) = 0.
0
Suppose 0 = 2*k + 4*t + 80, 26 + 39 = -2*k - t. Let n = -21 - k. Factor -12*f + n*f**2 + 4 + 1 - 1.
(3*f - 2)**2
Let l(b) be the first derivative of b**7/70 + b**6/30 - b**5/15 - b**2/2 - 3. Let k(o) be the second derivative of l(o). Factor k(r).
r**2*(r + 2)*(3*r - 2)
Let y(m) be the first derivative of m**4/30 - 4*m**3/15 + 4*m**2/5 + m + 3. Let c(s) be the first derivative of y(s). Determine n, given that c(n) = 0.
2
Let g = -86 + 274/3. Determine l, given that 686/3*l**4 + 0 + g*l + 196*l**3 + 56*l**2 = 0.
-2/7, 0
Let d(n) = n**2 + 8*n + 6. Let z be d(-8). Suppose -5*p = v - 27, -p = 2*v - 3*p + z. Factor 14*s**3 - 3*s**2 + 4*s**3 + 14*s**4 + 7*s**v.
2*s**2*(s + 1)*(7*s + 2)
Let u(x) = -x**3 - 2*x**2 + 3*x. Let b be u(-3). Let g be (0 + 0 + b)*1. Solve 0*i**2 - 2/9*i**3 + 2/9*i + g = 0.
-1, 0, 1
Let z(s) = 3*s**2 - 4*s - 4. Let d(x) = -x - 2. Let f be d(-5). Let m(n) = -2*n**2 + 3*n + 3. Let o(c) = f*z(c) + 4*m(c). Solve o(t) = 0 for t.
0
Suppose 4*m + s - 6 = 6*s, -8 = -4*s. Solve -2/11*y**m + 0 - 2/11*y**2 + 0*y - 4/11*y**3 = 0.
-1, 0
Let k(c) be the second derivative of c**7/3780 - c**6/540 - c**4/12 - 3*c. Let y(n) be the third derivative of k(n). Factor y(m).
2*m*(m - 2)/3
Let o be 12/(-10)*20/(-8). Let c be (-8)/6*o/(-6). Solve 0 - c*b**2 + 2/3*b = 0.
0, 1
Let h = -8 - -25. Suppose 0 = -5*r - 2*p + h, -2*r - 2*r = -5*p - 7. Solve 3/4*v**2 - 5/4*v - 1/4*v**4 + 1/4*v**r + 1/2 = 0 for v.
-2, 1
Let n(c) be the third derivative of c**5/90 - 5*c**4/36 + 2*c**3/3 - 6*c**2. Find p, given that n(p) = 0.
2, 3
Suppose v + 3*v = -4*r - 8, -v - 14 = 4*r. Factor 4*z**5 + 5*z**v - 2*z**3 + 3*z**4 - 2*z**3 - 9*z**2 + z**4.
4*z**2*(z - 1)*(z + 1)**2
Let m(q) = q**3 - 6*q**2 + 5*q + 6. Suppose 2*k + 24 = 4*k - 3*d, -3*k + 4*d = -34. Let c(s) = s**3 - 5*s**2 + 4*s + 5. Let f(v) = k*c(v) - 5*m(v). Factor f(r).
r*(r - 1)*(r + 1)
Factor 2/3*z**4 - 10/3*z + 2/3*z**3 - 2*z**2 - 4/3.
2*(z - 2)*(z + 1)**3/3
Factor -8/3*n + 4/3*n**2 - 16/3 + 2/3*n**3.
2*(n - 2)*(n + 2)**2/3
Suppose 48*k = -5*k. Let 0*h**2 - 1/2*h**3 + 1/4*h**5 + k + 0*h**4 + 1/4*h = 0. What is h?
-1, 0, 1
Let z = 5256 + -26437/5. Let y = 1797/55 + z. Find l such that 0 + y*l**2 + 4/11*l + 2/11*l**5 + 18/11*l**3 + 10/11*l**4 = 0.
-2, -1, 0
Let z = -4 - -16. Factor 4*x + 9*x**5 + 4*x - 12*x**3 + 0*x**3 - 18*x**2 - 5*x + 6 + z*x**4.
3*(x - 1)*(x + 1)**3*(3*x - 2)
Let o(s) be the first derivative of 3/2*s**2 + 3/8*s**4 + 2 + 3/2*s**5 - 5/2*s**3 - 3/4*s**6 + 0*s. Suppose o(b) = 0. Calculate b.
-1, 0, 2/3, 1
Let r(o) = -5*o**4 - 11*o**3 - 14*o**2 - 16*o - 12. Let g(i) = 9*i**4 + 21*i**3 + 29*i**2 + 33*i + 23. Let v(f) = -4*g(f) - 7*r(f). What is k in v(k) = 0?
-2, -1
Let c(b) = -b**2 - 4*b + 7. Suppose -w + 3*x - 8 = 3*w, -3*w - 3 = -3*x. Let y be c(w). Factor -2/3*n**y - 2/3*n + 0.
-2*n*(n + 1)/3
Let y(h) be the third derivative of -h**6/1440 - h**5/480 + h**3 + 4*h**2. Let t(x) be the first derivative of y(x). Factor t(b).
-b*(b + 1)/4
Let r(t) be the first derivative of -t**6/18 + 2*t**5/15 + t**4/12 - 2*t**3/9 - 17. Determine n so that r(n) = 0.
-1, 0, 1, 2
Let x = 15 + -13. Factor -1/2*c**x + 0 + 1/2*c.
-c*(c - 1)/2
Let j(o) be the third derivative of -1/385*o**7 + 0 + 1/44*o**4 + 1/33*o**3 + 0*o - 1/330*o**6 - 1/1848*o**8 + o**2 + 1/165*o**5. Factor j(m).
-2*(m - 1)*(m + 1)**4/11
Suppose h**3 + 19*h - 3*h**2 - 19*h - h**2 = 0. What is h?
0, 4
Find h, given that -3*h**3 + 30*h**2 - 12*h**4 + 2*h**5 + 3*h**5 + 9 - 33 + 12*h - 8*h**5 = 0.
-2, 1
Find u, given that -9/7*u**4 + 0*u + 6/7*u**3 + 0 + 0*u**2 + 3/7*u**5 = 0.
0, 1, 2
Suppose 0 = -2*c - 2*f + 3*f - 4, -4*c + 4*f - 16 = 0. Suppose 17*i + 15 = 22*i. Factor 2/3*r**4 - 2/3*r**i - 2/3*r**2 + c + 2/3*r.
2*r*(r - 1)**2*(r + 1)/3
Let l be 2/3*(14 + -11). Factor -j + 1/3 - 1/3*j**l + j**3.
(j - 1)*(j + 1)*(3*j - 1)/3
Let m(c) be the second derivative of c**8/13440 + c**7/1680 + c**6/480 + c**5/240 - c**4/4 - 3*c. Let s(l) be the third derivative of m(l). Factor s(x).
(x + 1)**3/2
Let a be ((-36)/81)/((-6)/9). Determine j so that 2*j**2 + 2*j**3 + 2/3*j + a*j**4 + 0 = 0.
-1, 0
Factor 26*d + 0 - d**2 - 24*d - 1.
-(d - 1)**2
Let v(j) be the first derivative of -3*j - 4*j**2 - 3 - 16/9*j**3. Find r, given that v(r) = 0.
-3/4
Let m be 30/9 - (-2)/3. Suppose 2*d = d + 5. Determine h, given that -10*h**2 + 0 - 1 - 10*h**3 - h**d + 10*h**4 - 5*h - 15*h**m = 0.
-1
Suppose -4 = s - 3*s. Find m such that -16 - 12*m + 0 + 0 - 2*m**2 - s = 0.
-3
Let i(n) be the third derivative of n**8/6720 + n**7/3360 - n**6/1440 - n**5/480 - n**3/2 - 3*n**2. Let c(m) be the first derivative of i(m). Factor c(d).
d*(d - 1)*(d + 1)**2/4
Suppose 0 = -20*p - 52 + 92. Factor -11/2*x**2 - p - 5/4*x**3 - 7*x.
-(x + 2)**2*(5*x + 2)/4
Suppose 2*i - 4*y + 14 = 0, -9*i + 4*i + 4*y - 5 = 0. Let 0*w**i + 3*w**4 - 3/2*w**5 - 3*w**2 + 3/2*w + 0 = 0. Calculate w.
-1, 0, 1
Suppose 0 = -4*g + 2*q - q + 13, -g - 3 = q. Suppose 6/5 + 3/5*w**3 + 0*w**g - 9/5*w = 0. Calculate w.
-2, 1
Factor -3*v**2 + 7*v + 3*v - 7*v.
-3*v*(v - 1)
Suppose -5*v + 3 + 7 = 0. Let p(w) be the second derivative of -w**v + 0 + 2*w - 2/3*w**3 - 1/6*w**4. Find u, given that p(u) = 0.
-1
Let l(o) be the first derivative of -10*o**3 - 3*o - 1/2*o**6 - 3 - 15/2*o**4 - 3*o**5 - 15/2*o**2. Let l(k) = 0. What is k?
-1
Let t(r) = 2*r**2 + 2*r + 1. Let p(f) be the third derivative of f**5/60 + f**4/24 + f**3/6 - f**2. Let s(g) = 10*p(g) - 6*t(g). What is c in s(c) = 0?
-2, 1
What is d in 4/9 + 4/9*d**2 + 2*d - 2*d**3 - 8/9*d**4 = 0?
-2, -1, -1/4, 1
Let w be (-18)/(-20) + (-3)/(-6) - -1. Factor -3/5 - 12/5*p**2 - w*p.
-3*(2*p + 1)**2/5
Let z(c) = 4*c - 7. Let d be z(3). Solve 1/5*v**d + 0*v - 1/5*v**3 + 1/5*v**4 + 0 - 1/5*v**2 = 0.
-1, 0, 1
Let n be (4 - (-21)/(-6))*(-8)/(-2). Let d(p) be the second derivative of 0*p**n + 3*p + 1/10*p**5 + 1/3*p**4 + 0 + 1/3*p**3. Factor d(z).
2*z*(z + 1)**2
Let k = 0 - 0. Let h(b) = b**3 - 6*b**2 + 2*b - 9. Let l be h(6). Factor k*g**2 + 4*g**3 + 0*g**l + 2*g**4 + 2*g**2.
2*g**2*(g + 1)**2
Suppose 3*v - t - 25 = 0, v - 6 = 4*t - 5. Let c be 21/v - 2/6. Determine g, given that g**2 - 2*g**2 + 12 + 12*g - 2*g**2 + 6*g**c = 0.
-2
Let i(q) be the third derivative of -q**7/735 + q**6/140 - q**5/105 - 10*q**2. Determine y so that i(y) = 0.
0, 1, 2
Suppose 2*i + 4 = 0, i - 1 + 3 = -3*l. Determine w so that 2/7*w**2 + 4/7*w + l = 0.
-2, 0
Let r be (-5)/(30/4) + 55/60. Factor r*i + 1/4*i**2 + 0.
i*(i + 1)/4
Suppose -35*k - k**2 + 0 - 40 + 7*k**2 - k**2 = 0. What is k?
-1, 8
Let o(z) = 4*z**4 - 7*z**3 + 4*z**2 + 17*z - 13. Let l(m) = -20*m**4 + 36*m**3 - 20*m**2 - 84*m + 64. Let s(n) = 5*l(n) + 24*o(n). Factor s(k).
-4*(k - 2)*(k - 1)**2*(k + 1)
Let a = 15811/5 - 3199. Let i = 37 + a. Find p, given that 1/5*p - 2/5*p**2 + 0 + i*p**3 = 0.
0, 1
Suppose -2*v