.
i**3*(i + 1)
Let n(d) = -9*d**2 - 8*d - 9. Let f(l) = -4*l**2 - 4*l - 4. Suppose w - 5 = 3*w - b, -b = 3*w + 20. Let z(a) = w*f(a) + 2*n(a). Factor z(t).
2*(t + 1)**2
Let q(h) be the second derivative of h**8/504 - h**6/90 + h**4/36 + h**2 + h. Let n(d) be the first derivative of q(d). Find f such that n(f) = 0.
-1, 0, 1
Find p such that p - 3*p - p - 8 - p + 4*p**2 = 0.
-1, 2
Let b(f) be the first derivative of 2*f**6/3 + 4*f**5/5 - f**4 - 4*f**3/3 + 14. Let b(y) = 0. What is y?
-1, 0, 1
Let d(m) = -11*m**2 - 5*m + 9. Let o(w) = -3*w + 3*w**2 - 10*w**2 + 5 + w**2. Let b(k) = -4*d(k) + 7*o(k). Factor b(n).
(n - 1)*(2*n + 1)
Let h(q) be the second derivative of -q**5/20 + 5*q**4/6 - 3*q**3/2 + 35*q. Factor h(f).
-f*(f - 9)*(f - 1)
Let z(h) be the third derivative of 0*h + 6*h**2 - 1/32*h**4 - 1/480*h**6 + 0 + 1/80*h**5 + 1/24*h**3. Factor z(p).
-(p - 1)**3/4
Let l(q) = 2*q**2 + 2*q - 2. Let m be l(-2). Let g(d) = 2*d**3 - 11*d**2 + 6*d + 3. Let h(k) = k**3 - 5*k**2 + 3*k + 1. Let s(r) = m*g(r) - 5*h(r). Factor s(n).
-(n - 1)**3
Let h = -7 - -9. Determine f so that 2/11*f**h + 0 + 4/11*f = 0.
-2, 0
Let q(r) be the first derivative of -r**8/210 - r**7/630 + 13*r**6/2160 - r**5/360 + r**3 + 4. Let g(z) be the third derivative of q(z). Factor g(v).
-v*(3*v + 2)*(4*v - 1)**2/6
Let s(j) be the first derivative of 1/15*j**3 - 2*j + 1 - 1/30*j**4 + 1/5*j**2 - 1/50*j**5. Let h(a) be the first derivative of s(a). Factor h(u).
-2*(u - 1)*(u + 1)**2/5
Let 0 + 2/3*q**2 - 4/3*q = 0. Calculate q.
0, 2
Suppose i - 92 = -h - h, -3*h - 368 = -4*i. Factor -a**4 - a**4 - a**3 + i*a**5 - 93*a**5.
-a**3*(a + 1)**2
Suppose -3*z + 2*s = -77, 0 = -4*z - 5*s + 20 + 52. Factor 0*f + 0*f - z*f**3 - 4*f**4 + 27*f**3.
-4*f**3*(f - 1)
Let t(v) be the first derivative of -v**6/48 - v**5/10 - v**4/32 + 7*v**3/12 + 5*v**2/4 + v - 47. Find y such that t(y) = 0.
-2, -1, 2
Let j(o) be the second derivative of o**6/210 + o**5/140 - o**4/28 - o**3/42 + o**2/7 - 10*o. Factor j(r).
(r - 1)**2*(r + 1)*(r + 2)/7
Let s(f) be the first derivative of -f**3/4 + 3*f + 9. Factor s(v).
-3*(v - 2)*(v + 2)/4
Let l = 175 + -2099/12. Let b(z) be the second derivative of z - l*z**3 + 0 - 1/2*z**2 + 1/24*z**4. Factor b(i).
(i - 2)*(i + 1)/2
Factor 3/7*w**5 + 0*w**4 + 3/7*w - 6/7*w**3 + 0 + 0*w**2.
3*w*(w - 1)**2*(w + 1)**2/7
Let g(o) be the third derivative of -1/60*o**5 - 2*o**2 + 0*o**4 + 0*o + 1/6*o**3 + 0. Factor g(v).
-(v - 1)*(v + 1)
Let t = 81 + -79. Factor 0*m**t + 0*m + 2/9*m**5 - 2/9*m**3 + 0*m**4 + 0.
2*m**3*(m - 1)*(m + 1)/9
Let r(v) be the first derivative of -v**4/12 + v**3/9 - 17. What is c in r(c) = 0?
0, 1
Factor -83*z**4 - z**5 + z**3 + 83*z**4.
-z**3*(z - 1)*(z + 1)
Let s(o) be the second derivative of o**4/4 + o**3/2 - 3*o**2 - 10*o. Factor s(q).
3*(q - 1)*(q + 2)
Determine f, given that 10*f + 17*f + 51*f**4 - 15*f - 26*f**3 - 24*f**2 - 18*f**5 + 5*f**3 = 0.
-2/3, 0, 1/2, 1, 2
Let j be 15/35*847/10. Let z = 73/2 - j. Factor -1/5*f**4 - 1/5*f**3 + 0 + z*f + 1/5*f**2.
-f*(f - 1)*(f + 1)**2/5
Let c = -4 - -4. Suppose -5*w = -3*d, c = 5*w - 2*w + 3*d. Factor 0*y**4 + 0*y**2 - 1/2*y**5 - 1/2*y + y**3 + w.
-y*(y - 1)**2*(y + 1)**2/2
Let l(x) be the first derivative of x**4/16 + x**3/12 + 16. Determine i so that l(i) = 0.
-1, 0
Let d = 294 - 285. Factor 3/2*y**2 + d*y + 27/2.
3*(y + 3)**2/2
Let c(g) = -3*g**3 - 104*g**2 - 668*g + 7. Let l(n) = 2*n**3 + 70*n**2 + 445*n - 5. Let u(j) = -5*c(j) - 7*l(j). Factor u(m).
m*(m + 15)**2
Let z(u) be the second derivative of -u**10/60480 + u**8/13440 - u**4/6 - 2*u. Let y(r) be the third derivative of z(r). Factor y(v).
-v**3*(v - 1)*(v + 1)/2
Let o(w) = 9*w**3 - 5*w**2 - 18*w - 4. Let l(h) = 45*h**3 - 24*h**2 - 89*h - 20. Let v(n) = -2*l(n) + 11*o(n). Factor v(c).
(c - 2)*(c + 1)*(9*c + 2)
Let p(d) be the third derivative of 1/120*d**6 + 0 - 3/40*d**5 - 1/12*d**3 + 1/105*d**7 + 0*d + 11/96*d**4 + d**2. Suppose p(y) = 0. What is y?
-2, 1/2
Let l(t) be the third derivative of 3*t**8/784 + t**7/49 + 3*t**6/70 + 3*t**5/70 + t**4/56 + 5*t**2. Find v such that l(v) = 0.
-1, -1/3, 0
Factor -d**2 - d**4 + 2*d + 2*d**4 - 2*d**3 + 0*d**3 + 0*d.
d*(d - 2)*(d - 1)*(d + 1)
Let h(a) be the third derivative of -2*a**7/945 + a**6/54 - a**5/135 - 7*a**4/18 + 4*a**3/3 - 31*a**2. Solve h(v) = 0.
-2, 1, 3
Suppose 11*g = 14*g. Let -1/3*l**2 - l**3 - 1/3*l**5 + g + 0*l - l**4 = 0. Calculate l.
-1, 0
Factor 5*o**4 + 15/2*o**3 + 5/4*o**5 + 0 + 5*o**2 + 5/4*o.
5*o*(o + 1)**4/4
Let s(m) be the second derivative of 0*m**2 + 0*m**3 + 1/70*m**5 - 1/105*m**6 + 0 + 0*m**4 - 2*m. Factor s(w).
-2*w**3*(w - 1)/7
Let h be (-25)/(-12) + (-15)/20*1. Factor h*m**2 + 0 - 2/3*m.
2*m*(2*m - 1)/3
Let l(y) be the third derivative of 1/120*y**5 + 0*y**4 + 0*y + 0 - 6*y**2 - 1/12*y**3. Solve l(v) = 0 for v.
-1, 1
Let s(g) be the first derivative of -2*g**5/55 + 5*g**4/22 - 14*g**3/33 + 3*g**2/11 + 16. Factor s(a).
-2*a*(a - 3)*(a - 1)**2/11
Suppose -z + 5 = -3*g, g + 6 = -2*g. Let k be 4*((-21)/(-12) + z). Suppose -2/11 - 2/11*m**4 + 4/11*m**2 + 4/11*m**k - 2/11*m - 2/11*m**5 = 0. What is m?
-1, 1
Suppose -11 = -5*u + 9. Let x = -4 + u. Factor 0*k**2 + 4/3*k**5 - 2/3*k**3 - 2/3*k**4 + 0 + x*k.
2*k**3*(k - 1)*(2*k + 1)/3
Let f = 20 - 56/3. Solve 0 + 0*r - f*r**3 + 4/3*r**2 = 0 for r.
0, 1
Let -2*y - 6*y**3 - 24*y**2 + 2*y - 3*y**4 + 21*y**2 = 0. What is y?
-1, 0
What is s in -48/7*s - 9*s**4 + 3*s**3 + 27/7*s**5 + 51/7*s**2 + 12/7 = 0?
-1, 2/3, 1
Let k(n) be the first derivative of 0*n - 3/2*n**2 - 2 - n**3. Factor k(h).
-3*h*(h + 1)
Suppose -5*w + 1 = 2*s, 3*w - 12 = 5*s - 10*s. Let n(p) = -p. Let k be n(w). Let 0 + 3*b + k - b**3 - 3 = 0. Calculate b.
-2, 1
Let c(t) = t**3 - t**2 + 3. Let g be c(0). Factor -2*h**5 + 23*h**3 + 0*h - 19*h**g - 2*h.
-2*h*(h - 1)**2*(h + 1)**2
Let o(y) be the third derivative of y**6/180 + y**5/10 + 3*y**4/4 + y**3/6 - 5*y**2. Let r(a) be the first derivative of o(a). Let r(w) = 0. What is w?
-3
Let t(m) be the first derivative of -4/3*m**3 - 3/2*m**4 + 0*m + 4 + 0*m**2 - 2/5*m**5. Factor t(x).
-2*x**2*(x + 1)*(x + 2)
Let l(m) be the second derivative of 0*m**3 + 0*m**2 + 1/36*m**4 + 1/30*m**5 + 0 + m + 1/90*m**6. Factor l(o).
o**2*(o + 1)**2/3
Let t(i) be the third derivative of -i**8/24 + 2*i**7/7 - 5*i**6/6 + 4*i**5/3 - 5*i**4/4 + 2*i**3/3 - i**2. Factor t(r).
-2*(r - 1)**4*(7*r - 2)
Suppose -5*k - 4*q + 15 = -9*q, 0 = 2*k - 5*q - 6. Suppose -5*z = -4*d, 3*z = -2*d + 3*d. Solve 10/7*o**k - 8/7*o**4 - 2/7*o**2 + 0*o + z = 0.
0, 1/4, 1
Let r(z) be the second derivative of 1/36*z**4 + 0 - 1/60*z**5 - 1/6*z**2 + z + 1/18*z**3. Factor r(c).
-(c - 1)**2*(c + 1)/3
Solve 1/2*h**3 + 1 + 2*h**2 + 5/2*h = 0 for h.
-2, -1
Let g be 2*((-6)/(-4) - 0). Suppose -4 - 2*x**4 - 3 - 12*x**g + 4 - 26*x**2 - 24*x - 5 = 0. What is x?
-2, -1
Suppose -5*x - 5*u + 20 = 0, -4*u = x - 20 + 4. Let 0 + x*k - 1/2*k**2 = 0. Calculate k.
0
Let h be ((-1)/(15/(-9)))/(2 - 1). Factor 0*d - 6/5*d**2 + 3/5*d**4 + 0*d**3 + h.
3*(d - 1)**2*(d + 1)**2/5
Let o(k) be the first derivative of -15*k**4/2 - 34*k**3/3 - 2*k**2 + 24. Determine i so that o(i) = 0.
-1, -2/15, 0
Let p(h) be the first derivative of h**6/1260 + h**5/420 - 4*h**3/3 - 4. Let d(o) be the third derivative of p(o). Factor d(u).
2*u*(u + 1)/7
Factor -125/3 - 5/3*f**2 + 50/3*f.
-5*(f - 5)**2/3
Find l such that 0 + 5/3*l**2 + 4/3*l**3 + 2/3*l + 1/3*l**4 = 0.
-2, -1, 0
Suppose 0 = -5*g - 3*k + 7, 22*g - 23*g = 2*k. Factor g*h**2 + 2/3*h**3 + 2/3 + 2*h.
2*(h + 1)**3/3
Let r = -235/4 + 59. Let 0*m**3 + 0 + r*m**2 - 1/4*m**4 + 0*m = 0. Calculate m.
-1, 0, 1
Let i(c) be the second derivative of -c**4/30 - 2*c**3/15 - c**2/5 + 4*c. Suppose i(u) = 0. What is u?
-1
Let o(z) = -z**4 + 3*z**3 - 7*z**2 - 11*z + 11. Let l(k) = -k**4 + k**3 - 3*k**2 - 5*k + 5. Let s = 4 + -7. Let u(n) = s*o(n) + 5*l(n). Factor u(m).
-2*(m - 1)**2*(m + 2)**2
Suppose 0 = -5*y - 3*y + 32. Find v, given that -2*v**y - 2/3*v**2 - 2*v**3 - 2/3*v**5 + 0*v + 0 = 0.
-1, 0
Let w be 2*(-3)/(-3)*1. Factor 3*b + 3*b**3 - 3*b + 6*b**w + 0*b + 3*b.
3*b*(b + 1)**2
Suppose -q + 23 = -4*y, 5*y + q = -39 + 8. Let b be 12/(-10)*15/y. Factor 0*n**b + 4*n**5 - n**3 - 3*n**5 + n**2 - n**4.
n**2*(n - 1)**2*(n + 1)
Let b(m) be the third derivative of -m**8/112 + m**7/35 + m**6/10 