p(t).
5*t*(t - 44)*(t + 1)
Factor 8/9*p**4 + 2/9*p**5 - 10/9*p - 4/9*p**2 - 4/9 + 8/9*p**3.
2*(p - 1)*(p + 1)**3*(p + 2)/9
Let c(o) be the first derivative of -17 - 2/21*o**3 + 5/7*o**2 + 0*o. Factor c(h).
-2*h*(h - 5)/7
Factor 1/10*q**5 + 0*q**3 + 2/5*q**4 - 17/10*q - 3/5 - 7/5*q**2.
(q - 2)*(q + 1)**3*(q + 3)/10
Let i(z) be the third derivative of 1/51*z**5 - z**2 - 3*z + 2/51*z**3 + 3/68*z**4 + 0 - 5/2856*z**8 - 4/595*z**7 - 1/255*z**6. Suppose i(l) = 0. Calculate l.
-1, -2/5, 1
Let y be (8/(-28))/((-10)/35) + -20. Let b be y/(-9) + -1 + -1. Solve -2/9*m**2 + b*m**3 + 0 + 1/9*m = 0.
0, 1
Let t(q) = 13*q + 15. Let w be t(-1). Let x(l) = l**2 - 7*l + 10. Let k be x(w). Factor -2/9*v**2 + 4/9*v + k.
-2*v*(v - 2)/9
Let p(c) be the first derivative of -1/4*c**2 + c - 4/3*c**3 - 5/8*c**4 + 15. Solve p(h) = 0 for h.
-1, 2/5
Let g = -7 + 11. Let g*b**3 - b**3 - 15*b**2 + 2*b**3 - 20*b = 0. Calculate b.
-1, 0, 4
Let f(q) = 33*q**3 - 48*q**2 + 81*q - 45. Let d(t) = 8*t**3 - 12*t**2 + 20*t - 11. Let m(p) = -21*d(p) + 5*f(p). Suppose m(j) = 0. What is j?
1, 2
Let z = -126 + 126. Factor 24 + 12*t + z*t - 42 - 3*t**2 + t**2.
-2*(t - 3)**2
Let y(s) be the second derivative of -s**5/120 + s**4/24 + s**3/4 - 9*s**2/4 - 5*s - 7. Suppose y(v) = 0. What is v?
-3, 3
Let h be ((-3)/(-6))/((-1)/(-2)) - 3. Let m be (-2)/4*12/h. Determine t so that -8/7 + 2*t**2 + 0*t + 6/7*t**m = 0.
-2, -1, 2/3
Determine m so that -64/9 - 2/9*m**3 + 14*m - 20/3*m**2 = 0.
-32, 1
Solve 11/8*z**4 - 43/4*z**3 + 215/8*z**2 - 39/2*z - 9/2 = 0 for z.
-2/11, 2, 3
Suppose -2*t = 3*f - 14, 3*f - 144 = -138. Let w = 21 + -9. Factor 10 - 89*u**3 + 53*u + 249*u**3 + 40*u**4 + w*u + 150*u**2 + 15*u**5 + 40*u**t.
5*(u + 1)**3*(u + 2)*(3*u + 1)
Factor -216*y + 7*y**2 - 41*y**3 + 45*y**3 + 5*y**2.
4*y*(y - 6)*(y + 9)
Let n be 76*-1*11/(-11). Find f, given that 3*f**3 - n*f + 76*f = 0.
0
Let s = 126 + -362/3. Let t(o) be the first derivative of -s*o**3 + 8*o + 6 - 2*o**2 + 3*o**4. Let t(q) = 0. What is q?
-2/3, 1
Let x(o) be the third derivative of o**5/330 - o**4/66 + 9*o**2 + 3. Factor x(z).
2*z*(z - 2)/11
Let p(x) = x**3 - 4*x - 1. Let t(j) = 4*j**4 - 24*j**3 - 12*j**2 + 92*j - 12. Let b(o) = -12*p(o) - t(o). What is w in b(w) = 0?
-2, 1, 3
Factor -9*i + 27 + 3*i**2 + 18*i + 9*i.
3*(i + 3)**2
Determine x, given that 6/5*x + 0 - 1/5*x**3 - x**2 = 0.
-6, 0, 1
Suppose 3*t - 18 = -3*r, -25 = -4*r + 14*t - 19*t. Factor -6/7*j + 2/7*j**r - 12/7*j**3 + 0 + 16/7*j**2 + 0*j**4.
2*j*(j - 1)**3*(j + 3)/7
Let x = -16 - -19. Let c be ((180/25)/6)/(27/80). Let 58/9*f**2 + c*f**x + 40/9*f + 2/3*f**4 + 8/9 = 0. What is f?
-2, -1, -1/3
What is o in -4/3 - 2/3*o + 2/3*o**2 = 0?
-1, 2
Solve -33*v + 2*v**2 - 5*v**2 - 72 - 12*v**2 + 12*v**2 = 0 for v.
-8, -3
Let t(y) be the third derivative of 7*y**2 - 1/30*y**5 + 1/8*y**4 + 0*y**3 + 0 + 0*y - 1/120*y**6. Factor t(r).
-r*(r - 1)*(r + 3)
Suppose 0 = -2*f + 5 + 5. Let s = f + -1. Solve 0*v + 6*v - 6*v - 3*v**s = 0 for v.
0
Let v(p) be the third derivative of -1/15*p**5 + 0 - 2/3*p**4 - 2*p**3 + 0*p - 8*p**2. Find a such that v(a) = 0.
-3, -1
Let 5*p + 5*p + p**2 + p - 4*p - 5*p = 0. What is p?
-2, 0
Let j be 2 + (6/(-4))/((-9)/18). Suppose -j*k - 40 = -3*o - 9, -6 = 2*o + 2*k. Factor 4/5*i - 2/5*i**o - 2/5.
-2*(i - 1)**2/5
Let h = 782/29 - -17607/116. Let c = h - 178. Factor -3/4*p**3 + 3/4*p + 3/4 - c*p**2.
-3*(p - 1)*(p + 1)**2/4
Let h(q) be the first derivative of 2/5*q**5 + 3/5*q**4 + 1/10*q**2 + 0*q + 1/10*q**6 - 13 + 2/5*q**3. Factor h(j).
j*(j + 1)**3*(3*j + 1)/5
Let k = -56 + 58. Factor 2*m + 8*m**k - 8*m**2 - 2*m**2.
-2*m*(m - 1)
Let j(f) be the second derivative of -5/2*f**3 - 3/4*f**4 + 25/2*f**2 + 11*f + 0 - 1/20*f**5. Factor j(d).
-(d - 1)*(d + 5)**2
Let w(c) be the first derivative of -2*c**5/25 - 38*c**4/5 - 2888*c**3/15 - 109. Solve w(f) = 0.
-38, 0
Let h(x) be the second derivative of -x**5/130 - 2*x**4/13 - 7*x**3/13 - 10*x**2/13 + x + 69. Let h(t) = 0. What is t?
-10, -1
Let f be (33/6 - 6)/(-2). Let z(v) be the second derivative of -6*v + 1/6*v**3 - f*v**2 + 0 - 1/24*v**4. Factor z(g).
-(g - 1)**2/2
Let f(h) = 8*h**3 - 157*h**2 - 209*h - 11. Let p(w) = 3*w**3 - 51*w**2 - 70*w - 4. Let l(c) = 4*f(c) - 11*p(c). Factor l(u).
-u*(u + 1)*(u + 66)
Let l(n) be the third derivative of n**8/16800 + n**7/6300 - n**6/1800 - n**5/300 + n**4/2 - 4*n**2. Let r(p) be the second derivative of l(p). Factor r(w).
2*(w - 1)*(w + 1)**2/5
Let o(a) = -5*a**2 + 5*a + 2. Suppose 4 = 2*u - 0*u. Let k(i) = 3*i - 9 + 21*i**2 + 4*i - 18*i - 10*i. Let q(m) = u*k(m) + 9*o(m). Let q(h) = 0. Calculate h.
0, 1
Let f = -59 + 145. Let l be -2 - -1 - (f/(-14) - -4). Factor -4/7*h**2 - l*h - 4/7.
-4*(h + 1)**2/7
Factor 1296/7 + 72/7*u + 1/7*u**2.
(u + 36)**2/7
Let l(h) be the third derivative of -h**8/12 - 6*h**7/35 - h**6/15 + 2*h**2 + 4*h. Factor l(p).
-4*p**3*(p + 1)*(7*p + 2)
Let s(b) = -7*b**3 - 2*b**2 + 15*b - 6. Let d = -34 + 55. Suppose z - 16 = -d. Let a(h) = 3*h**3 + h**2 - 7*h + 3. Let n(p) = z*a(p) - 2*s(p). Factor n(q).
-(q - 1)**2*(q + 3)
Let s(i) be the second derivative of 1/75*i**6 - 2/25*i**5 + 0 - 4/15*i**3 - 19*i + 1/5*i**4 + 1/5*i**2. Factor s(v).
2*(v - 1)**4/5
Let n(k) be the first derivative of k**5/40 - k**3/4 + k**2/2 + 29*k + 57. Let i(d) be the first derivative of n(d). Factor i(c).
(c - 1)**2*(c + 2)/2
Let o(r) be the second derivative of -r**7/126 - r**6/45 + r**5/12 + 5*r**4/18 - 2*r**3/9 - 4*r**2/3 - 7*r - 2. Let o(v) = 0. Calculate v.
-2, -1, 1, 2
Let u(n) = -n**2 + n + 2. Let s be u(0). Determine c so that -c**2 + 2 - 57*c + 57*c - c**s = 0.
-1, 1
Suppose -51*x = -50*x - 5, -5 = -2*w - x. Factor 0*l - l**4 + 1/3*l**2 + w*l**3 + 0 + 2/3*l**5.
l**2*(l - 1)**2*(2*l + 1)/3
Let q(t) = t**4 - t**3 + t**2 + t + 1. Let z(f) = f**4 - 7*f**3 + 25*f**2 + 27*f - 69. Let u = 14 - 12. Let y(d) = u*z(d) - 6*q(d). Solve y(n) = 0 for n.
-3, 2
Factor 3*c**3 - 2*c**2 + 1 - 8227*c + 8226*c - 1.
c*(c - 1)*(3*c + 1)
Suppose 2 - 4 = -w. Determine l so that 8*l + 2*l**2 - 4*l**2 + 4*l**w + 0*l**2 = 0.
-4, 0
Let n(r) be the first derivative of 2*r**6/21 - 12*r**5/35 + 4*r**4/21 - 21*r - 16. Let d(l) be the first derivative of n(l). Determine b so that d(b) = 0.
0, 2/5, 2
Let z be ((-3)/(-15))/(-1) + 16157/1510. Suppose -2*r = -21 - 3. Determine b so that -9/2*b**4 - 3/2 - 3/4*b**5 - z*b**3 - 27/4*b - r*b**2 = 0.
-2, -1
Let j be 2/((-18)/45)*(-36)/450. What is z in -6/5*z + 8/5*z**3 + 4/5*z**4 - j*z**5 - 4/5*z**2 + 0 = 0?
-1, 0, 1, 3
Let a(f) = -f**2 + 3*f + 5. Let c be a(3). Factor 11*j**4 - 9*j**4 - 16*j**4 - j**4 - 20*j**3 + c*j**5.
5*j**3*(j - 4)*(j + 1)
Let g(m) = -m**3 - 4*m**2 + 2*m + 2. Let d be g(-4). Let v = 10 + d. Solve -16*b + 28*b + 4 + 4 + v*b**2 = 0 for b.
-2, -1
Let a(f) = 4*f**4 - 14*f**3 + 11*f**2 - f + 5. Let k(n) = -5*n**4 + 16*n**3 - 13*n**2 + 2*n - 4. Let x(m) = -4*a(m) - 5*k(m). Let x(h) = 0. What is h?
0, 2/3, 1
Let m be (108/405)/(-1 + 33/15). What is n in 0 + 2/9*n + 2/9*n**2 - 2/9*n**4 - m*n**3 = 0?
-1, 0, 1
Let s = -521/6 + 133/3. Let o = s + 43. What is k in 1/2*k**5 + 0 + 0*k**4 - k**3 + o*k + 0*k**2 = 0?
-1, 0, 1
Let x(q) be the second derivative of 1/30*q**5 + 1/42*q**7 + 0*q**2 + 0 - 28*q - 1/18*q**6 + 0*q**4 + 0*q**3. Determine m, given that x(m) = 0.
0, 2/3, 1
Let p(w) be the second derivative of w**5/5 - 4*w**4 + 24*w**3 - 64*w**2 - 4*w - 18. Factor p(x).
4*(x - 8)*(x - 2)**2
Let b = 17 + -12. Let p be b/(45/6)*9. Solve -3*l**2 - p + 9 - 3*l - 3 = 0 for l.
-1, 0
Let k(u) be the second derivative of u**4/12 - u**3/2 + u**2 + u. Let t(y) = 4 - 2*y**2 - 7*y + 5*y**2 + 0*y**2. Let g(p) = 15*k(p) - 6*t(p). Factor g(b).
-3*(b - 1)*(b + 2)
Let n(o) = -23*o**4 + 84*o**3 - 216*o**2 + 116*o - 13. Let i(x) = 11*x**4 - 43*x**3 + 107*x**2 - 57*x + 6. Let l(a) = -13*i(a) - 6*n(a). Solve l(b) = 0 for b.
0, 1, 9
Let n(p) be the third derivative of p**7/105 - p**6/30 - 7*p**5/30 - p**4/3 + 23*p**2 - 10*p. Determine l so that n(l) = 0.
-1, 0, 4
Let y(v) be the first derivative of v**6/540 + v**5/180 - v**4/6 + 11*v**3/3 + 7. Let a(z) be the third derivative of y(z). Factor a(s).
2*(s - 2)*(s + 3)/3
Find r such that -94*r**3 - 8*r**2 - 3*r**4 - 37*r**4 + 54*r**5 - 24*r**3 - 8*r**4 + 8*r = 0.
-1, -1/3, 0, 2/9, 2
Let g be (2/6)/((-14)/(-504)). Find w, give