/5*s**2 + 12*s**3 + 112/5*s + 0 - 2/5*s**5 + 2/5*s**4.
-2*s*(s - 7)*(s + 2)**3/5
Let z(p) be the first derivative of p**4/16 + 32*p**3/3 + 512*p**2 - 104. Determine m so that z(m) = 0.
-64, 0
Let x be ((-9)/63 - (-51)/210)*12. Factor 2/5*p**2 - 8/5 - x*p.
2*(p - 4)*(p + 1)/5
Let p be (27/(-15))/9*0. Suppose 3*f + 2*r + 0 = -8, 3*f = r + 4. Find l such that f + 4/7*l**2 + 4/7*l**3 + p*l = 0.
-1, 0
Factor -1/5*d**3 - 1/5*d + 2/5*d**2 + 0.
-d*(d - 1)**2/5
Let d be (24/(-60) + 33/45)*6. Let w(n) be the first derivative of n**3 - 1 + 0*n + 9/2*n**d. Factor w(x).
3*x*(x + 3)
Let y be (-9 + 7)/((-78)/9 + 2). Let k(c) be the second derivative of 2*c - 1/20*c**4 + 0*c**3 + 0 + y*c**2. Factor k(w).
-3*(w - 1)*(w + 1)/5
Suppose -10 = -2*g - 6. Factor 3*s**3 + 17*s**2 - s**5 - 12*s**g - 3*s**2.
-s**2*(s - 2)*(s + 1)**2
Let j(o) be the first derivative of -o**6/14 + 18*o**5/35 - 33*o**4/28 + 2*o**3/7 + 18*o**2/7 - 24*o/7 - 33. Solve j(t) = 0.
-1, 1, 2
Let v = 487/15 + -161/5. Let q = -2/2271 + 3038/11355. Solve -2/15*l + 2/15*l**3 + q - v*l**2 = 0.
-1, 1, 2
Let c = -266 + 291. Suppose 5*i - 10 = 4*i + 2*z, i + c = -5*z. Factor 1/2*t**3 - t**2 + 0*t + i.
t**2*(t - 2)/2
Suppose -3*s - b = 3*b - 18, -5 = -4*s + b. Let o = 190 + -182. Let o - a**4 - 4*a - 6*a**s + 5*a**3 + 6 - 6 = 0. What is a?
-1, 2
Let f be 6/2 - (-27 - 5320/(-180)). Suppose 1/9*r + 2/9*r**2 - 7/9*r**3 + f*r**4 + 0 = 0. Calculate r.
-1/4, 0, 1
Let w(d) be the first derivative of d**4/12 + d**3 - 4*d - 4. Let a(r) be the first derivative of w(r). Factor a(o).
o*(o + 6)
Let r(n) be the first derivative of -3*n**5/35 - 3*n**4/28 + 9*n**3/7 - 33*n**2/14 + 12*n/7 + 67. Factor r(g).
-3*(g - 1)**3*(g + 4)/7
Let k be (-2)/(8/(-3) - -2). Suppose 2*l + m - 11 = 0, k*l - 5*l - 19 = -5*m. Determine h so that -15*h**2 + 15*h**2 - 2*h**l = 0.
0
Find c such that -3/4*c**2 + 36 + 3/2*c = 0.
-6, 8
Let j(x) = 2*x**2 - 8*x - 4. Let m be j(6). Suppose -3*y + p + 4 = 0, 5*p - m = 5. Solve u**2 + u**2 - y*u**2 = 0 for u.
0
Let u(f) = -f**3 + 2*f**2 + 4*f + 5. Let n be u(-2). Suppose 36*l = n*l + 46. Let -1/5 - 2/5*k - 1/5*k**l = 0. What is k?
-1
Let m(a) be the third derivative of a**6/30 - 8*a**5/15 - 11*a**4/2 - 2*a**2 + 6. Determine n, given that m(n) = 0.
-3, 0, 11
Let z(c) = c**3 + c**2. Let q(i) = 37*i**3 + 22*i**2 - 15*i. Suppose 4*m = 9*m + 10. Let w(a) = m*z(a) + q(a). Find p, given that w(p) = 0.
-1, 0, 3/7
Let h(l) be the second derivative of -3*l**3 + 1/4*l**4 + 6*l**2 + 0 - 1/20*l**6 + 9/40*l**5 + 2*l. Let h(a) = 0. Calculate a.
-2, 1, 2
Let b(k) be the second derivative of k**4/60 + 3*k**3/10 - 9*k**2 - 2*k - 190. Factor b(y).
(y - 6)*(y + 15)/5
Let h = -81068/66165 - -202/165. Let o = h + 56146/6015. Factor 22/3*q**3 + o*q**2 + 0 + 8/3*q + 5/3*q**4.
q*(q + 2)**2*(5*q + 2)/3
Let k = 10 - 28/3. Suppose 15 = -5*t, 5*x - 16*t - 27 = -12*t. Let 2/3*n**2 + k*n**x - 2/3*n - 2/3 = 0. Calculate n.
-1, 1
Let h(s) be the first derivative of -s**5/40 - s**4/24 + 7*s - 7. Let g(f) be the first derivative of h(f). Factor g(n).
-n**2*(n + 1)/2
Let x(j) be the second derivative of j**4/18 + j**3/3 - 10*j**2/3 - 5*j - 2. Solve x(g) = 0 for g.
-5, 2
Let h be (-47)/(-70) + (-10)/15. Let s(v) be the third derivative of -1/21*v**3 + 0*v + 0*v**4 + v**2 + h*v**5 + 0. Solve s(r) = 0 for r.
-1, 1
Let j(q) be the first derivative of 8/3*q**3 + q**4 - 14*q**2 - 33 + 16*q. Factor j(i).
4*(i - 1)**2*(i + 4)
Let v(s) = 23*s + 74. Let h be v(-3). Suppose 7*f + 75/4*f**2 + 61/4*f**4 + 97/4*f**3 + 1 + 15/4*f**h = 0. What is f?
-1, -2/3, -2/5
Let c(a) be the first derivative of 0*a + 4*a**2 + 10 + 4/3*a**3. Suppose c(m) = 0. Calculate m.
-2, 0
Let v be -4*((-4)/(-4) + 1). Let h = -6 - v. Factor 2*f**3 - 10*f**2 + 2*f**3 + 6*f + 18*f**h - 2*f.
4*f*(f + 1)**2
Let c be (-6)/((-6)/7) - 12/4. Let s be (4/30*-9)/(c/(-10)). Determine i, given that -2/17*i**s + 0 + 4/17*i - 2/17*i**2 = 0.
-2, 0, 1
Suppose -28*t - 12*t + 65 - 21*t + 14*t + 5*t**2 - 23*t = 0. What is t?
1, 13
Let j(b) = b**2 + b. Let d be j(1). Factor 3 + 3*m**3 + 3*m + 6*m - m**d + 10*m**2 + 0*m**3.
3*(m + 1)**3
Let u be ((1247/(-116))/43)/((-4)/32). Factor 28/5*k**u - 8/5*k - 12/5*k**3 + 0.
-4*k*(k - 2)*(3*k - 1)/5
Let d(c) be the first derivative of 3*c**6/4 + 21*c**5 - 153*c**4/8 - 35*c**3 + 36*c**2 + 499. Let d(o) = 0. Calculate o.
-24, -1, 0, 2/3, 1
Let v(q) = -4*q**5 - 10*q**4 - 3*q**3 - 4*q**2 + 7. Let r(s) = 9*s**5 + 21*s**4 + 6*s**3 + 9*s**2 - 15. Let c(a) = -7*r(a) - 15*v(a). Let c(g) = 0. Calculate g.
-1, 0, 1
Let 1/7*y**2 - 46/7 - 45/7*y = 0. What is y?
-1, 46
Let o(y) be the third derivative of -1/150*y**5 + 25*y**2 + 2/5*y**3 + 0*y + 0 + 1/12*y**4. Factor o(w).
-2*(w - 6)*(w + 1)/5
Let s(j) be the first derivative of j**6/2 - 16*j**5/15 + 5*j**4/12 + 2*j**3/9 - 51. Factor s(z).
z**2*(z - 1)**2*(9*z + 2)/3
Let v(c) be the third derivative of -3/20*c**5 - 1/40*c**6 + 1/8*c**4 + 3/2*c**3 + c**2 + 0*c + 0. Factor v(o).
-3*(o - 1)*(o + 1)*(o + 3)
Let w(b) be the second derivative of -3*b + 0*b**3 + 1/7*b**4 + 0*b**2 + 3/70*b**5 + 0. Factor w(t).
6*t**2*(t + 2)/7
Let v(i) be the second derivative of i**6/270 + i**5/90 - 23*i**4/108 - 4*i**3/9 + 8*i**2 + 95*i. Factor v(g).
(g - 3)**2*(g + 4)**2/9
Let z(n) be the second derivative of n**5/90 - n**4/27 - 19*n**3/27 + 20*n**2/9 + 65*n + 2. Find r such that z(r) = 0.
-4, 1, 5
Suppose 0 = 5*x + 5, 0 = -2*r + 3*x + 4 + 5. Determine o so that 4*o**r + 39*o**4 - o**4 - 10*o**4 = 0.
-1/7, 0
Let l(d) be the third derivative of -d**8/112 - d**7/14 - 3*d**6/40 + d**5/4 + d**4/2 + 7*d**2 + 7. Suppose l(k) = 0. Calculate k.
-4, -1, 0, 1
Let a(v) = -2*v**3 + 11*v**2 + 13*v + 4. Let n(p) = -9*p**3 + 54*p**2 + 66*p + 21. Let s(u) = 21*a(u) - 4*n(u). Determine y, given that s(y) = 0.
-1/2, 0, 3
Let b(a) be the second derivative of -a**7/21 - a**6/15 + a**5/5 + 2*a - 3. Factor b(n).
-2*n**3*(n - 1)*(n + 2)
Let o(a) = 34*a - 199. Let w be o(6). Let f(u) be the second derivative of 3/2*u**2 + 0*u**3 - 3/16*u**4 + 3*u - 3/80*u**w + 0. Solve f(c) = 0 for c.
-2, 1
Let m(n) be the third derivative of n**7/504 - n**6/12 + 3*n**5/2 + n**4/6 + 2*n**2. Let f(h) be the second derivative of m(h). Solve f(r) = 0 for r.
6
Factor 7*j**2 - 3*j**2 + 168*j - 13 + 370 - 193.
4*(j + 1)*(j + 41)
Let a(d) = -d**3 + 5*d**2 - 2*d - 6. Let l be a(6). Let i = l - -54. Let 9/2*k - 6*k**3 + i*k**4 + 3/2*k**5 - 3*k**2 + 3 = 0. Calculate k.
-1, 1, 2
Let v(f) = -9*f**2 + 695*f - 710. Let g(k) = -10*k**2 + 690*k - 710. Let j(s) = 4*g(s) - 5*v(s). Factor j(z).
5*(z - 142)*(z - 1)
Let x(w) be the second derivative of 25*w + 0 - 4/3*w**4 - 4/3*w**3 - 5/21*w**7 + 9/10*w**5 + 0*w**2 + 8/15*w**6. Suppose x(r) = 0. Calculate r.
-1, -2/5, 0, 1, 2
Let h(b) be the second derivative of -b**7/11340 - b**6/810 + 4*b**4 - 22*b. Let d(m) be the third derivative of h(m). Find w such that d(w) = 0.
-4, 0
Let y(v) be the second derivative of 1/70*v**5 + 1/14*v**4 + 4 - 4/7*v**2 - v + 0*v**3. Factor y(r).
2*(r - 1)*(r + 2)**2/7
Let g be 9/12 - 85/(-20). Let s(o) be the second derivative of -1/3*o**3 + 1/3*o**2 + 0 - 1/30*o**g - o + 1/6*o**4. Factor s(m).
-2*(m - 1)**3/3
Let g(x) be the third derivative of x**8/672 + x**7/210 - x**5/60 - x**4/48 + x**2 + 79. Factor g(l).
l*(l - 1)*(l + 1)**3/2
Let q = -10 + 14. Let m be 1/q - (-4)/(-16). Suppose -4/5*z**2 + m*z + 2/5*z**3 + 0 = 0. Calculate z.
0, 2
Let g(i) = i**3 - 6*i**2 - 19*i. Let y(h) = h**2 + 3*h. Let u(v) = -g(v) - 6*y(v). Let u(z) = 0. Calculate z.
-1, 0, 1
Suppose -45 = v - 49. Suppose 6*m = 7*m + 2, 3*p + m - v = 0. Solve 0*i - 2/5*i**p + 0 = 0.
0
Let i = 2/158777 + -147980174/793885. Let l = i - -187. Suppose 4/5 - l*u**2 - 4/5*u + 4/5*u**3 - 1/5*u**4 = 0. Calculate u.
-1, 1, 2
Let l(s) be the second derivative of s**5/50 + s**4/15 - s**3/5 - 13*s + 3. Factor l(i).
2*i*(i - 1)*(i + 3)/5
Let x = 45 - 43. Factor -225 + 294*u + 2*u**3 - 29 - 42*u**x - 432 + 0.
2*(u - 7)**3
Factor 3075*n + 6*n**3 - 35*n**2 - n**3 - 25 - 3020*n.
5*(n - 5)*(n - 1)**2
Suppose -2016 = 13*l - 17*l. Let z be (l/(-39))/4 - -4. Let 0 + 8/13*d**2 + 16/13*d**3 + 0*d - z*d**4 = 0. What is d?
-2/5, 0, 2
Let s = -136 + 73. Let n = s + 63. Find h, given that 0 - h**2 + 1/3*h**4 - 2/3*h + n*h**3 = 0.
-1, 0, 2
Suppose -6 = i + 4*s, 2*i = 3*i - 3*s - 8. Let