*y + y**4 + 2*y**k.
-2*(y - 2)**3*(y - 1)
Factor -8*l**3 + 5*l**4 - 6 + 25*l - 15*l**2 - 5 + 3*l**3 + 1.
5*(l - 1)**3*(l + 2)
Let h(m) be the second derivative of 2*m - 1/18*m**4 + 0 + 1/18*m**3 + 1/60*m**5 + 0*m**2. Suppose h(v) = 0. Calculate v.
0, 1
Let i(q) be the third derivative of 0*q**5 + 1/36*q**4 - 5*q**2 + 0*q**3 + 0*q - 1/180*q**6 + 0. Factor i(g).
-2*g*(g - 1)*(g + 1)/3
Let t(c) be the third derivative of -c**6/360 + c**5/90 + c**4/18 - 4*c**3/9 + 22*c**2. Factor t(w).
-(w - 2)**2*(w + 2)/3
Let d(m) = -m**3 - 6*m**2 + 6*m - 2. Let y(r) = 28 + 6*r**2 - 16 - 10 - 6*r. Let o = -2 + 0. Let g(l) = o*d(l) - 3*y(l). Find u such that g(u) = 0.
1
Let c = 6 - 3. Factor -2*y**4 - y**3 + 0*y**c + 0*y**3 + y**4.
-y**3*(y + 1)
Let u(v) be the second derivative of v**7/504 - v**6/360 + v**4/12 + v. Let n(i) be the third derivative of u(i). Let n(x) = 0. Calculate x.
0, 2/5
Let o(a) be the third derivative of 0 + 1/80*a**6 + 0*a - 5*a**2 + 27/16*a**4 + 27/4*a**3 + 9/40*a**5. Factor o(b).
3*(b + 3)**3/2
Let p(w) = w**3 + 3*w**2 - w + 1. Let y be p(-3). Factor 6*n**2 + 5*n**4 - 2*n**4 - 6*n**y - 3*n**3.
-3*n**2*(n - 1)*(n + 2)
Let q(l) be the first derivative of -2*l**5/5 - l**4 + 2*l**3 + 8*l**2 + 8*l - 14. Factor q(m).
-2*(m - 2)*(m + 1)**2*(m + 2)
What is x in -8*x**2 + 14*x**3 + 4 - 10*x - 4*x**3 + 4*x**2 = 0?
-1, 2/5, 1
Let u(f) = 13*f**3 - 59*f**2 - 143*f - 71. Let z(i) = -6*i**3 + 30*i**2 + 72*i + 36. Let t(o) = 3*u(o) + 7*z(o). Factor t(d).
-3*(d - 13)*(d + 1)**2
Let f(b) be the third derivative of -b**6/360 + b**5/120 - b**3 + 6*b**2. Let n(g) be the first derivative of f(g). Suppose n(i) = 0. Calculate i.
0, 1
Suppose 4*f + 11*a + 4 = 14*a, -5*a + 20 = 0. Factor 2/3*i**3 + 0 - 2/3*i**f - 2/3*i + 2/3*i**4.
2*i*(i - 1)*(i + 1)**2/3
Suppose -4*w + 3 + 5 = 0. Factor -w*j**2 - 10*j**4 - 8*j**5 - 7*j**5 + 11*j**5 - 8*j**3.
-2*j**2*(j + 1)**2*(2*j + 1)
Solve 0 - 4/15*f**2 + 2/15*f**3 + 2/15*f = 0.
0, 1
Let c(t) be the second derivative of t**5/5 - t**4/3 - 2*t**3/3 + 2*t**2 - 48*t. Solve c(d) = 0 for d.
-1, 1
Suppose -20 = -2*d - 4*r, 5*r - 16 = 4. Factor 8/3*p + 2/3*p**d + 8/3.
2*(p + 2)**2/3
Suppose -4*o - 8 = -2*v + 3*v, -v = -2*o - 10. Suppose -v*l - 5*k = -6, 4*k = -4*l + 3*k + 14. Let 22/5*s**3 + 4/5 + 18/5*s + 6*s**2 + 6/5*s**l = 0. What is s?
-1, -2/3
Let k(d) be the first derivative of 0*d + 27/5*d**5 + 4*d**3 + d**6 + 9*d**4 + 0*d**2 + 1. Let k(z) = 0. Calculate z.
-2, -1/2, 0
Let c(l) be the third derivative of -l**5/270 + l**4/18 - l**3/3 + 4*l**2. Solve c(w) = 0.
3
Suppose 2*u - 1 = -5. Let o be -3*u/9*6. Suppose -h**2 - h + h**3 + h**4 - 7*h**4 + 5*h**4 + 2*h**o = 0. Calculate h.
-1, 0, 1
Let h(c) be the third derivative of c**7/840 + c**6/120 + c**5/48 + c**4/48 + 3*c**2. Determine s, given that h(s) = 0.
-2, -1, 0
Let t(y) be the second derivative of y**4/66 - 4*y**2/11 - 5*y. Factor t(q).
2*(q - 2)*(q + 2)/11
Let s(d) be the third derivative of -1/120*d**6 + 0 + 1/24*d**4 + 0*d + 1/6*d**3 - 1/60*d**5 - d**2. Solve s(w) = 0 for w.
-1, 1
Factor 18*k**2 + 1/2*k**4 + 5*k**3 + 27/2 + 27*k.
(k + 1)*(k + 3)**3/2
Let h be (-8)/1*(-2)/8. Let v(n) be the second derivative of 1/21*n**4 + 0 + 2*n - 1/70*n**5 - 1/21*n**3 + 0*n**h. Solve v(l) = 0 for l.
0, 1
Let m(c) = -4*c**2 - c - 3. Let h(l) = -5*l**2 + l**2 - 3*l**2 - 2*l - 5. Let i(o) = -6*h(o) + 10*m(o). Suppose i(t) = 0. What is t?
-1, 0
Let s(d) be the second derivative of d**7/21 - 7*d**6/15 + 19*d**5/10 - 25*d**4/6 + 16*d**3/3 - 4*d**2 - 18*d. What is f in s(f) = 0?
1, 2
Let p be 8/(-12) + 158/210. Let t = p - -37/385. Let 0 - 2/11*w**4 - 2/11*w + 2/11*w**3 + t*w**2 = 0. What is w?
-1, 0, 1
Suppose a + 4*f = 6, -4*a + 5*f = 4*f - 24. Suppose a = w + w. Factor 0 - 2/3*d**w - 4/3*d**2 - 2/3*d.
-2*d*(d + 1)**2/3
Factor -2*m**2 + 0*m + 3/4*m**3 + 0.
m**2*(3*m - 8)/4
Let x(l) be the third derivative of -l**5/60 + 7*l**4/12 - 49*l**3/6 - 17*l**2. Factor x(n).
-(n - 7)**2
Suppose -2*c - 4*q + 2 + 24 = 0, -2*c + q + 1 = 0. Solve 3*d**3 + d**3 - c*d**3 = 0 for d.
0
Suppose -2*u + 3*r = 12, 5*r = -3*u - 0*r + 20. Factor 0*y**2 + 0*y + 2/3*y**3 + 2/3*y**5 + u + 4/3*y**4.
2*y**3*(y + 1)**2/3
Let w be (10/35)/(4/42). Factor 4/11 + 0*m**2 - 2/11*m**w + 6/11*m.
-2*(m - 2)*(m + 1)**2/11
Let j = 3 - 3. Let n(y) be the third derivative of 1/60*y**5 + 0*y**3 + 1/70*y**7 + y**2 + j*y - 1/336*y**8 + 0*y**4 + 0 - 1/40*y**6. Let n(p) = 0. Calculate p.
0, 1
Let v = -2741/47368 + 15/248. Let d = v - -1523/1910. Factor d*y - 2/5*y**2 - 2/5.
-2*(y - 1)**2/5
Let k(o) be the first derivative of o**4/22 + 14*o**3/33 + o**2 + 10*o/11 + 11. Factor k(p).
2*(p + 1)**2*(p + 5)/11
Find m such that m**2 + 2*m**3 - 43 + m + 42 - 3*m**3 = 0.
-1, 1
Suppose -3*i = -2*j - 9, -3*j - i - 1 = -3*i. Let r(y) be the second derivative of -1/9*y**2 + 0 + 2*y + 1/54*y**4 + 1/27*y**j - 1/90*y**5. Factor r(v).
-2*(v - 1)**2*(v + 1)/9
Factor 3*m**5 + 9*m**4 + 16*m**3 - 25*m**3 + 15*m**3.
3*m**3*(m + 1)*(m + 2)
Let a(t) be the second derivative of -t**5/80 + t**3/24 - t. Solve a(x) = 0 for x.
-1, 0, 1
Let l(b) be the second derivative of 2/3*b**4 + 0 + 3*b + 2/3*b**3 + 0*b**2 - 1/4*b**5. Factor l(s).
-s*(s - 2)*(5*s + 2)
Factor -3/2*m**2 + 27/4*m**4 - 3*m + 3/4 + 9*m**3.
3*(m + 1)**2*(3*m - 1)**2/4
Let j(c) = -50*c**3 - 75*c**2 - 20*c + 15. Let s(n) = -49*n**3 - 76*n**2 - 21*n + 14. Let q(a) = 4*j(a) - 5*s(a). Suppose q(o) = 0. Calculate o.
-1, 2/9
Let l = 79454/27 - 2942. Let o(y) be the first derivative of 5/9*y**2 + 1/27*y**6 - 2/9*y - l*y**3 - 2/9*y**5 + 5/9*y**4 - 1. Factor o(z).
2*(z - 1)**5/9
Let u(x) = 3*x**4 + 3*x**2 + 12*x - 6. Let n(d) = 9*d**4 - d**3 + 8*d**2 + 35*d - 17. Let s(o) = -6*n(o) + 17*u(o). Find h such that s(h) = 0.
-1, 0, 1, 2
Let u(p) be the second derivative of -4*p**7/273 - p**6/13 - 2*p**5/13 - 5*p**4/39 + p**2/13 + p + 6. Factor u(a).
-2*(a + 1)**4*(4*a - 1)/13
Let z(l) = l**2 - 3*l + 2. Let w(c) = c**2 - c. Suppose 5*h - 5*x + 25 = 0, -x - 23 = 4*h - 2*x. Let k(r) = h*w(r) + 3*z(r). Factor k(y).
-3*(y - 1)*(y + 2)
Let x(l) = -4*l**3 - l - 1. Let s be x(-1). Factor 0*w + 4*w**2 + s*w**3 + w + w - 2*w**3.
2*w*(w + 1)**2
Let y be (-1)/(-4) + (-76)/(-16). Let j(d) be the second derivative of 0*d**2 + 1/80*d**y + 0 + 1/24*d**3 - d - 1/24*d**4. Solve j(t) = 0 for t.
0, 1
Let c = -219/2 - -110. Factor -1/2*s**3 + c*s**4 - 3/2*s**2 + 1/2*s + 1.
(s - 2)*(s - 1)*(s + 1)**2/2
Let q(n) be the first derivative of 3*n**4/7 + n**3/7 - 6*n**2/7 - 3*n/7 - 2. Factor q(x).
3*(x - 1)*(x + 1)*(4*x + 1)/7
Let 3/5*n**2 - 3 + 12/5*n = 0. Calculate n.
-5, 1
Let 2/9*p**4 - 4/3*p**3 + 16/9*p**2 + 4/3*p - 2 = 0. What is p?
-1, 1, 3
Let o(g) = g**2 - 2*g + 3. Let p be o(3). Factor 5 - 3 + 12*b**2 + p*b + 3*b + 5*b**3.
(b + 1)**2*(5*b + 2)
Suppose -1 = -3*v + 4*r, -r = -v + 4*r - 18. Let f(k) = 2*k + 1. Let s be f(v). Factor 0*b**5 + 2*b**2 - 2*b**5 - s*b**4 + 13*b**4 + 2*b**3.
-2*b**2*(b - 1)*(b + 1)**2
Let w = 2 + 1. Let 3*f + 10*f**4 - 2*f**2 - 4 - 2*f**3 - 7*f**4 - f**5 + w = 0. What is f?
-1, 1
Let r(j) be the second derivative of j**8/5040 - j**7/840 + j**5/90 + j**3/3 - 9*j. Let g(v) be the second derivative of r(v). Solve g(t) = 0.
-1, 0, 2
Let d = -10 + 14. Let u(n) be the first derivative of -1 + 4*n**3 + 2*n + 2*n**4 + d*n**2 + 2/5*n**5. Factor u(f).
2*(f + 1)**4
Let s(c) be the third derivative of c**5/60 - 2*c**3/3 - 5*c**2. Let s(p) = 0. What is p?
-2, 2
Let d(w) = -w**5 - w - 1. Let g(h) = h**5 - 4*h**4 + 4*h**2 + 5*h + 3. Let t(r) = 6*d(r) + 2*g(r). Determine b so that t(b) = 0.
-1, 0, 1
Determine a, given that 1 - 3/2*a - a**2 + 2*a**3 - 1/2*a**5 + 0*a**4 = 0.
-2, -1, 1
Suppose 0 = o + 1 + 9. Let y(k) = 3*k**2 + k + 1. Let b(z) = 6*z**2 + 2*z + 1. Let x(q) = o*y(q) + 6*b(q). Factor x(v).
2*(v + 1)*(3*v - 2)
Factor -7/2*q + 1/2 + 11/2*q**2 - 5/2*q**3.
-(q - 1)**2*(5*q - 1)/2
Let a(s) be the first derivative of -s**8/840 + 2*s**7/525 - s**6/300 - s**2/2 + 2. Let f(r) be the second derivative of a(r). Determine w so that f(w) = 0.
0, 1
Factor 6/13*m**2 - 10/13*m + 4/13 + 2/13*m**3 - 2/13*m**4.
-2*(m - 1)**3*(m + 2)/13
Let t be (-8)/((-8)/3) - -69. Let h be (t/(-126))/(2/(-3)). Let 0 - 3/7*r**2 + h*r + 3/7*r**4 - 6/7*r**3 = 0. Calculate r.
-1, 0, 1, 2
Let k(d) be the third derivative of 0 + 1/102*d**4 - 1/510*d**6 + 