c + 4*y - 18 = 0. Factor 2*n**2 + n**3 - n**2 + n**3 - n**c.
n**2*(n + 1)
Let q = -343/5 - -69. Factor 0 + q*b**2 + 0*b - 2/5*b**4 + 0*b**3.
-2*b**2*(b - 1)*(b + 1)/5
Let j(c) = -c**4 + c**3 + c**2 + 1. Let f(o) = -o**5 - 9*o**4 + 12*o**3 + 11*o**2 + 9. Let y(g) = 4*f(g) - 36*j(g). Factor y(x).
-4*x**2*(x - 2)*(x + 1)**2
Let y be (-3)/(-4) + (-13)/364*13. Determine x so that 2/7*x + y*x**2 + 0 = 0.
-1, 0
Solve k**5 - 367*k**3 + 4*k**2 + 366*k**3 - 3*k**2 - k**4 = 0 for k.
-1, 0, 1
Let 4/9 - 10/3*z**3 + 14/9*z - 2/9*z**2 - 2*z**4 = 0. What is z?
-1, -1/3, 2/3
Let w(c) be the third derivative of -c**6/60 - c**5/9 - c**4/4 - 2*c**3/9 - 9*c**2. Determine n so that w(n) = 0.
-2, -1, -1/3
Let c = 1/9 - -4/45. Let z(o) be the second derivative of 0*o**3 + 1/21*o**7 + 0*o**2 + 3/10*o**5 - c*o**6 - 2*o + 0 - 1/6*o**4. Factor z(j).
2*j**2*(j - 1)**3
Let h = 6/11 - 7/33. Let p(n) be the first derivative of -h*n**2 + 1/3*n - 2 + 1/9*n**3. Factor p(x).
(x - 1)**2/3
Let x(t) = t**3 + t + 1. Let p be x(-1). Let r be 3 + -2 + p*1. Factor 2/3*n**2 - 2/3*n**3 + 0*n + r.
-2*n**2*(n - 1)/3
Factor -1/10*d**3 - 6/5*d - 4/5 - 3/5*d**2.
-(d + 2)**3/10
Let z(k) be the first derivative of k**6/30 + k**5/4 + k**4/4 - 3*k**3/2 + 6*k + 3. Let m(o) be the first derivative of z(o). Solve m(h) = 0 for h.
-3, 0, 1
Suppose -5*l = -5*n + 1 - 21, 5*l = 2*n + 20. Suppose -q = -l*q. Factor i**4 - i**3 + q*i - 4*i - i**2 + 5*i.
i*(i - 1)**2*(i + 1)
Let r(q) be the second derivative of q**5/4 + 25*q**4/12 + 20*q**3/3 + 10*q**2 + 12*q. Factor r(o).
5*(o + 1)*(o + 2)**2
Let d(y) be the second derivative of 0 - 7*y - 7/3*y**4 - 8*y**2 - 32/3*y**3. Factor d(u).
-4*(u + 2)*(7*u + 2)
Suppose -24 = -u - 2*u. Let v be 2/3 - u/(-6). Factor -8*r + v*r**4 + r + 12*r**2 - r + 2 - 8*r**3.
2*(r - 1)**4
Let m(c) be the second derivative of c**7/210 + c**6/30 + 2*c**5/25 + c**4/15 - 11*c. Factor m(x).
x**2*(x + 1)*(x + 2)**2/5
Let k(z) be the third derivative of -z**6/40 + z**5/10 - z**4/8 + 30*z**2. Factor k(j).
-3*j*(j - 1)**2
Determine v so that 0*v**3 + 0*v + 4/3*v**2 - 2/3*v**4 - 2/3 = 0.
-1, 1
Let m be 0 - (1 + -1 + -1). Let y(c) be the first derivative of 1/6*c**2 + 2/3*c - m - 1/9*c**3. Find w such that y(w) = 0.
-1, 2
Determine m so that 0*m + 4/11*m**3 - 2/11*m**4 + 0 - 2/11*m**2 = 0.
0, 1
Let q(r) be the third derivative of -r**8/1176 - 4*r**7/735 + r**6/420 + 2*r**5/105 - 14*r**2. Find n such that q(n) = 0.
-4, -1, 0, 1
Factor -2*q - 5*q**2 - 138 - 2*q**4 + q**4 - 4*q**3 + 138.
-q*(q + 1)**2*(q + 2)
Let b(l) be the second derivative of l**6/1260 - l**5/420 - l**3/2 - 2*l. Let y(m) be the second derivative of b(m). Determine x so that y(x) = 0.
0, 1
Let c be (170/(-35) - -4)/(-3). Solve -c*w**3 + 2/7 - 2/7*w**2 + 2/7*w = 0.
-1, 1
Factor -20*g**4 - 35*g**5 + 1 - 10*g**2 + 30*g**5 - 25*g**3 - 1.
-5*g**2*(g + 1)**2*(g + 2)
Let k(b) be the third derivative of -b**7/525 + b**6/300 + 2*b**5/75 - b**4/15 - 5*b**2. What is q in k(q) = 0?
-2, 0, 1, 2
Factor 0 - 1/3*q + 2/3*q**2 - 1/3*q**3.
-q*(q - 1)**2/3
Let y(r) = 6*r - 26. Let k be y(5). Let a(v) be the second derivative of 0*v**3 + 1/20*v**5 + 0 + 0*v**2 - 1/42*v**7 - 1/30*v**6 + 3*v + 1/12*v**k. Factor a(c).
-c**2*(c - 1)*(c + 1)**2
Suppose -2*h + s = -5 - 1, 4*h + 5*s - 40 = 0. Suppose 0*w**3 + 1/2*w**h + 0 - 1/2*w + w**2 - w**4 = 0. Calculate w.
-1, 0, 1
Let n(h) be the first derivative of 3*h**4/4 - 2*h**3 + 10. Factor n(i).
3*i**2*(i - 2)
Solve -2/3*v + 1/6*v**4 + 0 - v**3 + 3/2*v**2 = 0.
0, 1, 4
Factor -3/5*q**2 + 3/5*q**3 - 12/5*q + 12/5.
3*(q - 2)*(q - 1)*(q + 2)/5
Let d(f) = -2 - 108*f**3 + 0*f - 6*f + 114*f**3 - 6*f**2. Let n(m) = -17*m**3 + 17*m**2 + 17*m + 5. Let w(g) = 11*d(g) + 4*n(g). Solve w(i) = 0.
-1, 1
Let u(s) be the first derivative of -3*s**5/80 - s + 2. Let q(f) be the first derivative of u(f). Factor q(m).
-3*m**3/4
Suppose 2*v - 18 = -4*b + 4, 0 = -2*v - 3*b + 18. Let r(p) = -p**3 + 4*p**2 + p - 1. Let t be r(4). What is m in -m + t*m + 0*m**v - 2*m**3 = 0?
-1, 0, 1
Let t(o) = -o - 1. Let u(s) = -s**2 - 2*s - 4. Let y(g) = 12*t(g) - 3*u(g). Factor y(d).
3*d*(d - 2)
Let p be 6/(-15)*-8 - 2. Let g(t) = 4*t - 1. Let o be g(1). Let -4/5*s**2 + 4/5*s**o - p*s + 6/5*s**4 - 2/5 + 2/5*s**5 = 0. What is s?
-1, 1
Let t = -8074 - -242269/30. Let a(c) be the second derivative of -4*c + 0 - 4/3*c**2 + t*c**5 + 32/9*c**3 - 77/18*c**4. Let a(w) = 0. What is w?
2/7, 1
Let t be (2/6)/(3/36). Suppose -t*p - 2*g + 6 = 0, 5*p = 3*g - 2*g + 18. Let 3*b - b**3 + 2*b**2 - b - p*b = 0. What is b?
0, 1
Let m(g) = g**2 - 29*g + 64. Let n(h) = -8*h**2 + 204*h - 448. Let b(d) = 20*m(d) + 3*n(d). Factor b(s).
-4*(s - 4)**2
Let q(r) be the first derivative of -r**5/150 - r**4/60 + r**2 + 3. Let j(z) be the second derivative of q(z). Factor j(y).
-2*y*(y + 1)/5
Let m(x) be the second derivative of -x**5/20 + x**4/12 + 62*x. Factor m(w).
-w**2*(w - 1)
Let t = 2/701 + 7699/4206. What is s in 1/6*s**2 - 5/3*s**4 - t*s**3 + 0 + 1/3*s = 0?
-1, -1/2, 0, 2/5
Let r(t) be the third derivative of t**8/84 + t**7/105 - t**6/20 - t**5/30 + t**4/12 + 6*t**2. Determine c so that r(c) = 0.
-1, 0, 1/2, 1
Suppose 5*t + n - 17 = 0, -t - 7 = -2*t - 2*n. Let p be (((-6)/5)/(-3))/((-36)/(-405)). Factor -7/2*a + p*a**2 + 1/2*a**4 + 1 - 5/2*a**t.
(a - 2)*(a - 1)**3/2
Let k(s) be the third derivative of 1/150*s**5 - s**2 - 1/60*s**4 + 0 + 0*s - 1/15*s**3 + 1/300*s**6. Suppose k(n) = 0. Calculate n.
-1, 1
Let l = 465/2 - 2289/10. Determine k, given that l*k + 3/5*k**2 + 27/5 = 0.
-3
Suppose 10*y = 5*y + 10. Let u be 8/(-4 + 8) - y. Solve 2/7*f**5 + 0 - 6/7*f**4 + u*f + 0*f**2 + 4/7*f**3 = 0.
0, 1, 2
Suppose 10*s - 14 - 26 = 0. Let o(w) be the third derivative of -2*w**2 - 1/18*w**s + 0 - 1/90*w**5 + 0*w**3 + 0*w. Factor o(i).
-2*i*(i + 2)/3
Let k(r) be the first derivative of 3*r**4/16 + 7*r**3/24 - r**2/4 + 2*r + 3. Let v(w) be the first derivative of k(w). Determine u so that v(u) = 0.
-1, 2/9
Let o = 175 + -172. Find m such that 2/11 - 2/11*m**2 - 2/11*m + 2/11*m**o = 0.
-1, 1
Let z(a) be the first derivative of a**3 - 6*a**2 + 9*a + 51. Find u, given that z(u) = 0.
1, 3
Factor -18/7*h + 0 - 2/7*h**2.
-2*h*(h + 9)/7
Let s(r) be the first derivative of -r**5/5 + 9. Factor s(y).
-y**4
Determine q so that 12 - 43*q + 8*q**2 - 20*q**4 + 42*q - 27*q + 4*q**5 + 24*q**3 = 0.
-1, 1, 3
Let x be -4 + 156/42 + 8/28. Determine p so that x*p**3 - 1/3*p**5 + 1/3*p + 0 + 2/3*p**4 - 2/3*p**2 = 0.
-1, 0, 1
Find c, given that -1/5*c**4 - 1/5 + 1/5*c**5 - 2/5*c**3 + 1/5*c + 2/5*c**2 = 0.
-1, 1
Suppose -12 = 2*a - 4*a. Solve -a*q**2 + 16/3*q**4 + 4/3*q + 2/3 - 4/3*q**3 = 0.
-1, -1/4, 1/2, 1
Let k = 139/745 + 2/149. Factor k*w**5 + 0*w + 0 + 4/5*w**3 - 4/5*w**4 + 0*w**2.
w**3*(w - 2)**2/5
Suppose -6*l - 17 + 29 = 0. Factor -2/9*j**3 + 0*j + 0 - 2/9*j**l.
-2*j**2*(j + 1)/9
Let s(v) be the second derivative of v**4/18 + 6*v. Determine q so that s(q) = 0.
0
Let f(p) be the first derivative of -p**6/9 - 4*p**5/15 + p**4/3 + 16*p**3/9 + 7*p**2/3 + 4*p/3 - 5. Suppose f(g) = 0. Calculate g.
-1, 2
Suppose 3*r - 2 = -4*d + 10, -4*d = -4*r - 40. Let k = d - 3. Find p such that 0 + 3/4*p**k - 3/4*p + 0*p**2 = 0.
-1, 0, 1
Suppose 5 = 2*v - 1. Factor 0*i**v + i**3 - 3*i + 2*i**3 + 0*i**3.
3*i*(i - 1)*(i + 1)
Let u(m) be the first derivative of -2*m**6/3 + 16*m**5/5 - 6*m**4 + 16*m**3/3 - 2*m**2 - 10. What is a in u(a) = 0?
0, 1
Let z(y) = -y**5 + y**3 - y**2 + y - 1. Let r(u) = 25*u**5 + 25*u**4 - 75*u**3 + 65*u**2 - 40*u + 30. Let q(i) = r(i) + 30*z(i). Factor q(j).
-5*j*(j - 2)*(j - 1)**3
Factor -15*m - 9*m**2 - 6*m**3 + 27*m + 12 + m**4 + 2*m**4.
3*(m - 2)**2*(m + 1)**2
Let c(u) = -u**3 - 7*u**2 + 8*u + 2. Let z be c(-8). Let b = -49/2 - -25. Factor -3/4*g - b + 5/4*g**z.
(g - 1)*(5*g + 2)/4
Let j be 12/5 - (-4)/(-10). Let v = 8 + -6. Factor -v*f**3 + f + 3*f**3 + j - 2*f**2 - 2*f**3.
-(f - 1)*(f + 1)*(f + 2)
Let c(k) be the third derivative of -k**6/240 - k**5/60 - 7*k**2. Factor c(a).
-a**2*(a + 2)/2
Suppose -53 + 53 + j**2 - j = 0. What is j?
0, 1
Let w(i) be the first derivative of -3 + 0*i**3 + 1/2*i**2 + 0*i - 1/4*i**4. Factor w(n).
-n*(n - 1)*(n + 1)
Let q(a) = 22*a**5 - 40*a**4 + 39*a**3 - 16*a**2 + 7*a. Let l = -2 + 1. Let r(d) = -d**5 - d**3 + d**2 - d. Let g(o) = l*q(o) - 6*r(o). Solve