) be the first derivative of 2*p**6/3 - 4*p**5 + 9*p**4 - 28*p**3/3 + 4*p**2 - 9. Factor s(y).
4*y*(y - 2)*(y - 1)**3
Factor -6 - 8/3*t**3 - 2/3*t**4 + 8*t + 4/3*t**2.
-2*(t - 1)**2*(t + 3)**2/3
Let z be 6/21 - (-33)/7. Suppose -z*r + 9 = -a + 4*a, 0 = -2*r + 4*a + 14. What is n in -n**4 + 0 + 3*n**5 - 9/4*n**r - 1/4*n + 3/2*n**2 = 0?
-1, 0, 1/3, 1/2
Determine i, given that -14*i**2 - 300 + 35*i**2 - 24*i**2 + 60*i = 0.
10
Solve 14*p**2 + 11*p**3 + 22*p**2 - 3*p**3 - 20*p = 0 for p.
-5, 0, 1/2
Let a = 16 + -13. Let x(f) be the second derivative of -1/9*f**3 - a*f + 0*f**2 + 0 + 1/18*f**4. Find c such that x(c) = 0.
0, 1
Let n(o) be the second derivative of -o**5/35 - 5*o**4/21 - 2*o**3/3 - 6*o**2/7 - 44*o. Factor n(d).
-4*(d + 1)**2*(d + 3)/7
Let x be ((-3)/9)/((-3)/18). Suppose -2*g = -u - 2, -4*g - x*u = -3*u - 6. Find s such that -2 + 0*s**2 + s**g + s**2 = 0.
-1, 1
Suppose -132*h + 114*h + 72 = 0. Solve -1/2*p**5 + p**h + 0*p + 1/2*p**3 + 0 - p**2 = 0 for p.
-1, 0, 1, 2
Suppose -5*i = -10 - 5. Let t be (-8)/6*i/(-5). Factor -3/5*c**2 - 1/5 - t*c.
-(c + 1)*(3*c + 1)/5
Let s be (-5)/(-10)*4*2. Solve 2*m + 6*m**2 - 3*m**s - 3 - 2*m + 0*m = 0.
-1, 1
Let h(g) = -44*g**5 + 96*g**4 - 60*g**3 + 8*g**2 + 5. Let w(d) = -22*d**5 + 48*d**4 - 30*d**3 + 4*d**2 + 2. Let f(p) = -2*h(p) + 5*w(p). Factor f(v).
-2*v**2*(v - 1)**2*(11*v - 2)
Let x(q) be the third derivative of q**7/1470 - q**6/630 - q**4/6 - q**2. Let p(b) be the second derivative of x(b). Factor p(k).
4*k*(3*k - 2)/7
Solve 0 + 0*p**3 + 0*p**2 - 1/7*p**5 + 0*p + 1/7*p**4 = 0 for p.
0, 1
Let z(n) be the first derivative of 216*n**4 - 720*n**3 + 900*n**2 - 500*n + 18. Factor z(y).
4*(6*y - 5)**3
Let d(g) be the third derivative of 1/420*g**6 + 0 + 1/84*g**4 + 0*g + 0*g**3 - g**2 - 1/105*g**5. Let d(u) = 0. Calculate u.
0, 1
Let b = 203/2 - 304/3. Suppose -3*f - 6 = 4*a, -3*f + 23 = f - 5*a. Factor 1/3 - b*t**f - 1/6*t.
-(t - 1)*(t + 2)/6
Let o(q) be the first derivative of q**8/1008 + q**7/210 + q**6/270 - q**3 + 2. Let h(l) be the third derivative of o(l). Factor h(n).
n**2*(n + 2)*(5*n + 2)/3
Let d(k) be the third derivative of 2*k**7/105 - 4*k**6/15 + 13*k**5/15 - k**4 - 9*k**2. Determine o so that d(o) = 0.
0, 1, 6
Determine b so that -16*b**2 + 10*b**4 - 334 - 6*b**3 + 334 + 8*b + 4*b**5 = 0.
-2, 0, 1/2, 1
Suppose 2*b + 3 = 1. Let d = 5 + b. Factor -6/5*n**d + 0*n - 2/5*n**2 + 0 + 6/5*n**3 + 2/5*n**5.
2*n**2*(n - 1)**3/5
Suppose -4*z - 16 = 0, -5*z = 2*d - 4*d + 32. Suppose 2*t - 5*v = d + 3, 5*t + 2*v - 8 = 0. Factor 0 + 1/2*k**3 + k - 3/2*k**t.
k*(k - 2)*(k - 1)/2
Suppose -6*j - 45 = -11*j. Let h be (1 - 0) + j/(-18). Factor 0 + 0*l - h*l**2 - 1/2*l**3.
-l**2*(l + 1)/2
Let f(b) = -b**2 + 7*b - 2. Let k be f(6). Let h be (-13)/(-5) + (-2)/(-5). Suppose -2 + t**k + 0 + 4*t**2 - h*t**4 = 0. What is t?
-1, 1
Let q be (-760)/(-18) + 4/(-18). Let t be -3 + 3/q*46. Let 0 - t*y**3 - 2/7*y + 4/7*y**2 = 0. Calculate y.
0, 1
Let i be -16*1/(-3) + 64/(-16). Suppose i*r + 14/3*r**2 - 10/3*r**5 + 2*r**3 + 0 - 14/3*r**4 = 0. What is r?
-1, -2/5, 0, 1
Let h(u) be the first derivative of -u**6/12 + 7*u**5/10 - 7*u**4/4 + u**3/3 + 15*u**2/4 - 9*u/2 + 18. What is q in h(q) = 0?
-1, 1, 3
Suppose 2*s - 9 = 19. Let r(z) = z - 11. Let k be r(s). Factor -6/7*p**2 - 2/7*p + 0 + 8/7*p**k.
2*p*(p - 1)*(4*p + 1)/7
Let k be 80 - (-5 + 3 - -2). Let l be 4/18 + k/45. Factor -1/2 + 1/2*m**l + 0*m.
(m - 1)*(m + 1)/2
Let y(o) = -1. Let t(h) = -2*h + 3. Let a(g) = -t(g) + 5*y(g). Let k be a(6). Find l, given that 140/3*l**3 + 6*l**5 - 104/3*l**2 + 34/3*l - 4/3 - 28*l**k = 0.
1/3, 1, 2
Suppose -6/13*c**3 + 16/13*c**2 - 4/13 - 6/13*c = 0. Calculate c.
-1/3, 1, 2
Let h(u) = u**4 - u**3 - 5*u**2 - 7*u - 4. Let f(m) = 5*m**4 - 6*m**3 - 26*m**2 - 36*m - 21. Let p(y) = 6*f(y) - 33*h(y). Factor p(k).
-3*(k - 2)*(k + 1)**3
Let d(i) be the third derivative of 11/8*i**4 + 0 + i**3 + 3/4*i**5 - i**2 + 0*i. Factor d(r).
3*(3*r + 1)*(5*r + 2)
Solve -3 - 20*x - 9*x**2 + 3 - 3*x**3 + 14*x = 0.
-2, -1, 0
Let j be ((-732)/305)/(54/(-20)). Factor 8/9*w - j - 2/9*w**2.
-2*(w - 2)**2/9
Suppose -144 = w - 5*w. Let n be 100/w - 4/(-18). Solve -2/3*c**4 + 0*c + 0*c**2 + 0 - 2/3*c**n = 0.
-1, 0
Let t be (30/450)/(14/10 - 1). Let o(p) be the second derivative of p + t*p**2 + 0 - 1/9*p**3 + 1/36*p**4. Determine a so that o(a) = 0.
1
Let r be (-9)/63*0 - 0/1. Let -4/7*n + 2/7*n**2 + r = 0. Calculate n.
0, 2
Let d(w) be the second derivative of w**6/70 - 3*w**5/70 - w**4/28 + w**3/7 + 11*w. Determine x, given that d(x) = 0.
-1, 0, 1, 2
Let f = 0 - -5. Let g be (20/(-12))/((-2)/6). Determine b so that 3*b**3 - 5*b**3 + 0*b**f - 2*b**5 - 4*b**4 + 0*b**g = 0.
-1, 0
Let j(n) = n**2 - 3. Let x be j(-3). Suppose -5*h + x = -2*h. Factor -t + h*t**2 - t + 2 + 6*t.
2*(t + 1)**2
Let p(m) be the third derivative of 0*m**4 - 1/756*m**8 - 1/270*m**5 + 0*m - 1/135*m**6 + 0*m**3 - 1/189*m**7 + m**2 + 0. Factor p(v).
-2*v**2*(v + 1)**2*(2*v + 1)/9
Find y such that -2*y - 7*y**4 + 9*y**4 + y**4 + 3*y**3 - y - 3*y**2 = 0.
-1, 0, 1
Let r be 0/(((-7)/49)/((-3)/21)). Let -9/5*v**4 + 6/5*v**5 + 9/5*v**2 + r - 3/5*v - 3/5*v**3 = 0. Calculate v.
-1, 0, 1/2, 1
Let o(g) = -2*g - 2. Let w be o(-5). Suppose -t + 10 = 4*t + 2*d, 4*t - 4*d = w. Solve 3*h**2 + 8*h**4 + 12*h**3 + 3*h - t*h + 3*h**2 = 0.
-1/2, 0
Factor 2*n**2 + n**5 - n**5 - n**3 - 4*n**5 - 2*n**4 + 5*n**5.
n**2*(n - 2)*(n - 1)*(n + 1)
Let j(g) be the second derivative of 2*g**7/21 - 4*g**6/15 - g**5 + 10*g**4/3 + 8*g**3/3 - 16*g**2 + 9*g - 1. Find t such that j(t) = 0.
-2, -1, 1, 2
Let w(t) be the first derivative of t**5/90 - 2*t**2 - 3. Let j(y) be the second derivative of w(y). Suppose j(v) = 0. What is v?
0
Suppose -s = -0*s - 3. Let p(g) be the second derivative of -1/36*g**4 + 1/9*g**s + 0 - 1/6*g**2 - 2*g. Factor p(d).
-(d - 1)**2/3
Determine v so that -9/5 - 3/5*v**2 - 12/5*v = 0.
-3, -1
Let j(f) = -f - 2. Let r be j(-6). Let a be -1 + 2 - r/(-4). Solve 8/5 + 8/5*u + 2/5*u**a = 0.
-2
Let n(o) be the first derivative of -49*o**4 + 896*o**3/3 - 232*o**2 + 64*o + 2. Solve n(t) = 0.
2/7, 4
Let b(f) be the second derivative of -1/21*f**4 - 1/21*f**3 + 0 + 1/7*f**2 + 1/105*f**6 + 1/35*f**5 - 1/147*f**7 + 3*f. Solve b(p) = 0 for p.
-1, 1
Let w(r) be the first derivative of -3 + 0*r + 1/4*r**2 + 1/10*r**5 + 1/2*r**3 + 3/8*r**4. Factor w(a).
a*(a + 1)**3/2
Let g(i) = -i**3 - 14*i**2 - 12*i + 15. Let s be g(-13). Let p(w) be the first derivative of -1/15*w**3 + 1/5*w**s - 3 + 0*w. Factor p(q).
-q*(q - 2)/5
Let p be -1*3 + 627/99. Factor 20/3*u**2 + 2/3*u**5 + 20/3*u**3 + 2/3 + p*u + 10/3*u**4.
2*(u + 1)**5/3
Let i = 17 + 3. Let t be 15/(-27)*(-8)/i. Find c, given that -t*c**3 - 2/3*c + 2/3*c**2 + 2/9 = 0.
1
Let i(z) = -z**3 - 9*z**2 - 7*z + 10. Suppose -b - 8 + 0 = 0. Let a be i(b). Factor -o - 2*o**2 + 0*o**a + o**2.
-o*(o + 1)
Let u(d) = 8*d**2 + d. Let a be u(-1). Let s(r) = -1 + 0*r + r - 10*r**2 + 5. Let m(j) = -3*j**2 + 1. Let q(o) = a*m(o) - 2*s(o). Factor q(z).
-(z + 1)**2
Let b = -10 + 10. Let 0 + 4*w**3 + 5*w**4 - 3*w**4 - 2*w**2 + b - 4*w**5 = 0. Calculate w.
-1, 0, 1/2, 1
Let c(v) be the third derivative of 0 - 1/150*v**5 + 0*v + 0*v**4 + 1/30*v**3 + 1/1050*v**7 - 3*v**2 + 0*v**6. What is q in c(q) = 0?
-1, 1
Let q(i) = 8*i**4 - 12*i**3 + 4*i**2 + 6. Let o(t) = -23*t**4 + 35*t**3 - 11*t**2 - t - 17. Let j(w) = 6*o(w) + 17*q(w). Let j(a) = 0. Calculate a.
-1, 0, 1, 3
Solve 1/6*s**2 + 5/3 - 7/6*s = 0.
2, 5
Let j be (-50)/15*(-1 + 2). Let g = 20/3 + j. Factor 16/3*v + 8/3 + 2/3*v**3 + g*v**2.
2*(v + 1)*(v + 2)**2/3
Let -2*v**3 + 0 + 6/5*v**2 + 8/5*v**5 - 6/5*v**4 + 2/5*v = 0. What is v?
-1, -1/4, 0, 1
Suppose 0*o = -o + 2. Let r(l) be the first derivative of 2/3*l**3 + 1/4*l**4 + 1/2*l**2 + o + 0*l. Suppose r(d) = 0. Calculate d.
-1, 0
Let t(h) be the first derivative of h**6/90 + h**5/60 - h**4/36 - h**3/18 + h + 4. Let m(d) be the first derivative of t(d). Factor m(i).
i*(i - 1)*(i + 1)**2/3
Let d be 1752/44 + (-4)/(-22). Let k be 1 + -4*(-2)/d. Let 0 + 2/5*h**2 + 4/5*h**3 - k*h**4 + 0*h = 0. What is h?
-1/3, 0, 1
Let d(u) = u**3 - u**2 - u + 5. Let l(n) = -n**3 + 2*n**2 + 2*n - 6. Let x(b) = 3*b**3 + 2*b**2 - 1. Let i be x(1). Let t(r) = i*l(r) + 5*d(r). Factor t(h).
(h + 1)**3
Let -16/9*i**2 - 4/9*i