*3 - 50*i**2 + 121*i + 4. Let k(o) = -g(o) + 4*y(o). Factor k(n).
-5*n*(n - 5)**2
Let n(h) be the second derivative of h**7/30 + 13*h**6/75 + 27*h**5/100 + h**4/15 - 2*h**3/15 + 39*h. Solve n(x) = 0 for x.
-2, -1, 0, 2/7
Suppose -c + 15 = -5*i - 0, 2*i + 6 = c. Factor 0*h**4 + 0*h**2 + 0 + c*h + 2/3*h**3 - 2/3*h**5.
-2*h**3*(h - 1)*(h + 1)/3
Let u(t) = -2*t**4 + t**3 - 4*t**2 + 5*t - 3. Let l(c) = 5*c**4 - 3*c**3 + 9*c**2 - 11*c + 7. Let m(q) = -3*l(q) - 7*u(q). Factor m(d).
-d*(d - 2)*(d - 1)*(d + 1)
Suppose -3*u - 7*u = -2*u. Let l(y) be the second derivative of 0 + u*y**2 + 1/48*y**4 - 3*y - 1/168*y**7 + 0*y**3 + 1/80*y**5 - 1/120*y**6. Factor l(p).
-p**2*(p - 1)*(p + 1)**2/4
Suppose -15 + 0 = -p. Let m = p - 10. Find u such that -7/4*u**m - 1/2*u**4 - 1/2 - 7/4*u + 7/2*u**3 + u**2 = 0.
-1, -2/7, 1
Factor -7/4*z + 3/2 + 1/4*z**2.
(z - 6)*(z - 1)/4
Let b(a) = a**2 - 7*a - 5. Let o(c) = c**2 - c - 4. Let m be o(-3). Let x be b(m). Factor -5*k**2 + 15 - 7 + k**x - k**2 + k**3.
2*(k - 2)**2*(k + 1)
Let b be (-220)/(-1275)*1*4. Let h = b + -2/85. Suppose 2/3*k**5 - 10/3*k**4 - h - 20/3*k**2 + 20/3*k**3 + 10/3*k = 0. Calculate k.
1
Let y(u) be the first derivative of 3*u**6/4 + 6*u**5/5 - 3*u**4/8 - u**3 - 10. Factor y(n).
3*n**2*(n + 1)**2*(3*n - 2)/2
Let a be 110/22 + 10/(-2). Let q(d) be the first derivative of -3 - 3/2*d**2 - 3/4*d**4 - 2*d**3 + a*d. Factor q(k).
-3*k*(k + 1)**2
Let g be 5 - (4 + 1 - 3). Suppose j = 2*j. Factor 0*y**2 + 0 - 1/2*y**g + j*y.
-y**3/2
Let q(j) be the first derivative of -j**4 - 14*j**3/3 - 7*j**2 - 8*j + 2. Let t(d) = d + 1. Let w(c) = q(c) + 8*t(c). Factor w(u).
-2*u*(u + 3)*(2*u + 1)
Let p(f) = 4*f - 24. Let j be p(7). Determine q, given that 1/2*q**j - 1/2*q**2 + 0 + 0*q**3 + 1/4*q - 1/4*q**5 = 0.
-1, 0, 1
Let n = 52 - 48. Factor 3/4 + 3/4*w**n - 3/2*w**2 + 0*w**3 + 0*w.
3*(w - 1)**2*(w + 1)**2/4
Suppose 0 = -4*p - 2*i + 50, p + 3*i = 17 + 8. Let r be ((-12)/45)/(p/(-15)). Factor -4/5*o + r*o**2 + 2/5.
2*(o - 1)**2/5
Find t, given that 4/5*t**3 - 2/5*t**4 + 0 + 0*t - 2/5*t**2 = 0.
0, 1
Let m(w) be the second derivative of -2*w**6/105 - 6*w**5/35 - 13*w**4/21 - 8*w**3/7 - 8*w**2/7 - 7*w. Suppose m(n) = 0. What is n?
-2, -1
Find s, given that 0*s**4 - 10*s**3 - 18*s**2 - 16*s**3 - 4 + 26*s + 22*s**4 = 0.
-1, 2/11, 1
Let s be -6 + (6 - 3) - -5. Let c(k) be the third derivative of 0 + 1/120*k**6 - 1/6*k**3 + 0*k + 1/60*k**5 - 1/24*k**4 + s*k**2. Solve c(m) = 0 for m.
-1, 1
Let c(a) = 6*a**4 + 4*a**3 - 4*a**2 + 6. Let k(b) = 3 - 2 + b**3 + 0*b**4 + b**4. Let y(q) = c(q) - 4*k(q). Factor y(f).
2*(f - 1)**2*(f + 1)**2
Let u = -13 - 2. Let q be 2/(u/6*-2). Determine r, given that q*r**5 + 2/5*r**2 + 0 + 0*r + 6/5*r**4 + 6/5*r**3 = 0.
-1, 0
Suppose 17*i = 4 + 30. Let k(z) be the first derivative of -4/21*z**3 - 2 - 2/7*z - 3/7*z**i. Factor k(q).
-2*(q + 1)*(2*q + 1)/7
Let i(v) be the second derivative of -5/9*v**3 + 1/6*v**4 + 0 + 2/3*v**2 + v. Factor i(l).
2*(l - 1)*(3*l - 2)/3
What is i in 0*i + 15/7*i**3 + 1/7*i**5 + i**4 + 9/7*i**2 + 0 = 0?
-3, -1, 0
Let r(f) be the first derivative of 0*f**2 - 2*f - 7 + 2/3*f**3. Find q such that r(q) = 0.
-1, 1
Solve -h**4 - 4*h**4 + 5*h**4 - 3*h**4 + 3*h**2 = 0 for h.
-1, 0, 1
Let k = 19/20 - -1/4. Find a such that -3/5*a**2 - k*a**3 + 3/5*a**4 + 6/5*a + 0 = 0.
-1, 0, 1, 2
Let r(p) be the second derivative of -p**7/2940 + p**6/210 - p**5/35 + 2*p**4/21 + p**3/3 - p. Let w(t) be the second derivative of r(t). Factor w(m).
-2*(m - 2)**3/7
Let g(c) = c**3 - 7*c**2 - 6*c - 10. Let d be g(8). Suppose 6*z = 3*z + d. Let -2*p + 4*p**2 + p**3 + z*p**5 - p**3 - 4*p**4 = 0. Calculate p.
-1, 0, 1
Let a be (-9)/3*66/9. Let m(b) = -4*b**2 - 11*b - 11. Let k(d) = d**2 + 3*d + 3. Let r(j) = a*k(j) - 6*m(j). Suppose r(w) = 0. What is w?
0
Factor 2/3*u**3 - 1/3*u**5 - 1/3*u + 0 + 0*u**4 + 0*u**2.
-u*(u - 1)**2*(u + 1)**2/3
Let p(m) be the third derivative of m**7/315 - m**6/180 - m**5/45 + 8*m**2. Solve p(c) = 0.
-1, 0, 2
Suppose -5*s + 13 = 3. Determine p, given that -17*p - s*p**3 + 4*p**3 + 17*p + p**4 = 0.
-2, 0
Let f(l) be the third derivative of 0 - 1/42*l**4 - 1/210*l**5 - 1/21*l**3 - 6*l**2 + 0*l. Suppose f(w) = 0. Calculate w.
-1
Suppose 0 = -5*h + s - 2*s + 5, -3*h = -5*s + 25. Suppose 1 + h*c**2 + 2*c**3 - 2*c**2 + c**4 - 2*c**3 = 0. What is c?
-1, 1
Let y(u) be the first derivative of -3 - 2/9*u**3 + 0*u + 1/12*u**4 + 1/6*u**2. Find j such that y(j) = 0.
0, 1
Let o = 10/1269 - -1/94. Let x(i) be the second derivative of 0*i**3 + 0 + 1/45*i**5 + 1/135*i**6 + 3*i + 0*i**2 + o*i**4. Determine b, given that x(b) = 0.
-1, 0
Factor -15/4*d - 5/2 + 5/4*d**3 + 0*d**2.
5*(d - 2)*(d + 1)**2/4
Let k be 2 - 2 - (-2 - 0). Factor 11*t**2 - 2*t**4 - 1 - 7*t**k + 0 - 1.
-2*(t - 1)**2*(t + 1)**2
Factor -6*b + 2*b**2 + 21*b - 7*b**2.
-5*b*(b - 3)
Factor 0 - 6/5*q**2 - 24/5*q**4 + 0*q - 21/5*q**3 - 9/5*q**5.
-3*q**2*(q + 1)**2*(3*q + 2)/5
Factor 27*g**5 - 30*g**3 + 3*g**2 - 18*g**4 + 12*g + 9*g**2 - 3*g**3.
3*g*(g - 1)**2*(3*g + 2)**2
Let u = -19 - -28. Let x = u - 17/2. Factor 0 + g**4 + x*g**5 + 0*g**3 - 1/2*g - g**2.
g*(g - 1)*(g + 1)**3/2
Let q(a) be the second derivative of -a**6/60 - a**5/8 + 7*a**4/24 + 5*a**3/12 - 3*a**2/2 + 2*a. Factor q(m).
-(m - 1)**2*(m + 1)*(m + 6)/2
Let l(p) = -5*p**2 + 19*p - 2. Let t(w) = -9*w**2 + 39*w - 3. Let a(k) = -9*l(k) + 4*t(k). Factor a(n).
3*(n - 1)*(3*n - 2)
Suppose 4*i + i + 85 = 3*j, 5*i + 65 = 2*j. Suppose -y - 4*y + j = 0. What is k in 3/2*k**3 - 3/4*k + 1/2 - 3/4*k**5 - k**2 + 1/2*k**y = 0?
-1, 2/3, 1
Let r(b) = b**5 - 20*b**4 - 59*b**3 + 178*b**2 - 100*b. Let q(j) = -2*j**5 + 21*j**4 + 58*j**3 - 177*j**2 + 100*j. Let v(y) = -2*q(y) - 3*r(y). Factor v(x).
x*(x - 1)**2*(x + 10)**2
Let t(f) be the second derivative of -2/3*f**3 + 2*f - 3/2*f**4 + 0*f**2 + 0. Suppose t(u) = 0. Calculate u.
-2/9, 0
Factor -3*b**3 - 3/4*b**4 - 3*b - 9/2*b**2 - 3/4.
-3*(b + 1)**4/4
What is m in 3/5*m + 9/5*m**4 - 3*m**3 + 3/5*m**2 + 0 = 0?
-1/3, 0, 1
Let p(f) be the first derivative of -8*f**5/25 + 13*f**4/5 - 8*f**3 + 56*f**2/5 - 32*f/5 + 7. Factor p(m).
-4*(m - 2)**3*(2*m - 1)/5
Let v be -1 - (1 + 0) - 231/(-35). Factor -v*r**4 + 27/5*r**3 + 2/5*r - 13/5*r**2 + 7/5*r**5 + 0.
r*(r - 1)**3*(7*r - 2)/5
Suppose 12*p + 3*p = 8*p. Let l(c) be the first derivative of 0*c**2 + 0*c**3 + 1/14*c**4 - 1 - 4/35*c**5 + 1/21*c**6 + p*c. Suppose l(j) = 0. Calculate j.
0, 1
Let o(s) be the third derivative of 0 + 1/2*s**3 + 3/10*s**5 - 1/10*s**6 + 1/70*s**7 - 5*s**2 - 1/2*s**4 + 0*s. Factor o(m).
3*(m - 1)**4
Let h be (4/(-6))/(((-5)/15)/1). Suppose -4/5*y**h + 0 + 2/5*y + 2/5*y**3 = 0. Calculate y.
0, 1
Let p(f) = -7*f**4 + 13*f**3 - 3*f**2 + 5*f. Let t(w) = -6*w**4 + 12*w**3 - 4*w**2 + 4*w. Suppose -2 = 3*z + 10. Let j(x) = z*p(x) + 5*t(x). Factor j(n).
-2*n**2*(n - 2)**2
Let z(l) = 4*l + 28. Let a be z(-6). Let i(s) be the first derivative of 2/3*s**3 + 0*s - 4 - 2/5*s**5 + 1/2*s**a - s**2. Factor i(n).
-2*n*(n - 1)**2*(n + 1)
Let x(y) be the first derivative of y**6/540 + y**5/135 + y**4/108 + 2*y**2 + 5. Let b(v) be the second derivative of x(v). Factor b(r).
2*r*(r + 1)**2/9
Suppose -24*n**3 + 1 - 4 + 108*n**3 - 21*n - 9*n**2 + 9*n**3 - 60*n**4 = 0. Calculate n.
-1/4, -1/5, 1
Let z(r) be the second derivative of 0*r**2 + 1/30*r**6 + 0*r**3 - 1/42*r**7 - 1/12*r**4 + 2*r + 0 + 1/20*r**5. Factor z(x).
-x**2*(x - 1)**2*(x + 1)
Let k(s) be the second derivative of 1/9*s**3 - 1/12*s**2 + 1/30*s**5 - 1/180*s**6 - s - 1/12*s**4 + 0. Factor k(r).
-(r - 1)**4/6
Let l(w) = w. Let u(j) be the third derivative of 3*j**5/5 - 11*j**4/12 + 2*j**3/3 - 3*j**2. Let s(a) = 2*l(a) - u(a). Determine d so that s(d) = 0.
1/3
Let y(g) = g**3 + 7*g**2 + 7*g + 8. Let o be y(-6). Factor 5/4*p**o + 1/2 + 7/4*p.
(p + 1)*(5*p + 2)/4
Let o(u) = -u**3 - 8*u**2 - 10*u + 3. Let f be o(-7). Let d = f - 24. Factor -2/3*q**4 + 2*q**3 - 2*q**2 + d + 2/3*q.
-2*q*(q - 1)**3/3
Let r be (-2 - -5)*1*8. Suppose -r*y**5 + 6*y**4 + 2*y**2 + 41*y**5 + 6*y**3 - 15*y**5 = 0. What is y?
-1, 0
Let p(r) be the first derivative of 6 - r**3 - 3/4*r**4 + 0*r**2 + 0*r. Let p(n) = 0. Calculate n.
-1, 0
Let k(x) be the third derivative of -x**9/68040 + x**8/30240 + x**4/12 - x**2. Let u(r) be the second derivative of k(r). Factor u(s).
-2