Let b(a) be the second derivative of u(a). Factor b(f).
-4*f*(f - 4)/7
Find x, given that 46*x + 6*x**2 + 39 + 16 + 4*x**2 + 69*x = 0.
-11, -1/2
Let t = 13 - 11. Solve -3*h**2 - 3*h + 5*h**4 - 6*h - h + 15*h**3 - 5*h**5 - t*h**2 = 0.
-1, 0, 1, 2
Let a(s) = -s**2 - 2. Let l be (-18)/21 - -3 - (-1)/(-7). Let z(k) = 4*k**2 + k + 7. Let y(c) = l*z(c) + 7*a(c). Solve y(g) = 0 for g.
-2, 0
Factor 2/5*k**5 - 18/5*k**4 - 12/5*k**3 - 30*k - 450 + 76*k**2.
2*(k - 5)**3*(k + 3)**2/5
Factor h + 2*h + 4*h**3 + 20*h**2 - 8*h + h - 20.
4*(h - 1)*(h + 1)*(h + 5)
Let p(t) = -8*t**2 - 16*t - 118. Let q(h) = h**2 + 2*h + 13. Let y(d) = 6*p(d) + 52*q(d). Let y(k) = 0. What is k?
-4, 2
Let q(p) = -p**2 + 6*p. Let g be q(5). Suppose 2*h - 3*d = 5*h - 63, g*h = -2*d + 105. Factor -3*r**2 + 8 - 25*r - 3*r**2 + h*r + 2*r**2.
-4*(r - 1)*(r + 2)
Factor 40/13*u**2 - 8/13*u + 0 - 18/13*u**3.
-2*u*(u - 2)*(9*u - 2)/13
Let r(v) be the first derivative of -v**2/2 + 8*v + 9. Let x be r(-7). Factor 22*c**2 + 4 - x*c**2 + 4*c - 4*c**3 - 11*c**2.
-4*(c - 1)*(c + 1)**2
Let i = 202 - 200. Suppose -2*c = 4*s - i + 18, 5*c - s - 15 = 0. Factor 2/5*j**3 + 4/5 + 6/5*j**c - 2*j - 2/5*j**4.
-2*(j - 1)**3*(j + 2)/5
Let v(c) be the second derivative of 311/12*c**4 + 2*c**2 + 29/3*c**3 + 0 + 299/8*c**5 - 15*c + 27/4*c**7 + 129/5*c**6. Find x, given that v(x) = 0.
-1, -2/7, -2/9
Let l = 1433 - 1425. Let w(y) be the second derivative of 0*y**3 - 1/6*y**4 + l*y + 0 + 0*y**2. What is v in w(v) = 0?
0
Let o = 63 - 55. Suppose 5*f**5 - 6*f**3 + o*f**2 + 0*f**2 - f**5 - 8*f**4 + 2*f**3 = 0. What is f?
-1, 0, 1, 2
Let a(y) be the second derivative of -5*y**7/168 + y**6/4 + y**5/3 - 5*y**3/3 + 23*y. Let g(q) be the second derivative of a(q). Solve g(r) = 0 for r.
-2/5, 0, 4
Let c(x) = x**3 - 13*x**2 + 13*x - 10. Let m be c(12). Factor -v + 2*v**m + 0*v**2 - 3*v**2 + 8 - 2.
-(v - 2)*(v + 3)
Let n = 27 + -22. Let w(v) be the second derivative of 0 + 0*v**n + 3*v + 1/2*v**2 + 1/30*v**6 - 1/6*v**4 + 0*v**3. Solve w(a) = 0.
-1, 1
Let u(l) be the second derivative of -5*l**7/84 + 5*l**6/12 - l**5 + 5*l**4/6 - 8*l. Factor u(y).
-5*y**2*(y - 2)**2*(y - 1)/2
Find b, given that 10/9*b - 2/9*b**2 + 28/9 = 0.
-2, 7
Let v(n) be the second derivative of 8*n**7/63 + 2*n**6/3 + 13*n**5/15 - n**4 - 34*n**3/9 - 4*n**2 - 3*n - 18. Solve v(m) = 0.
-2, -1, -3/4, 1
Let r be (-9)/(-75) - 5917/(-1525). What is v in 1/3*v**r + 1/2*v**3 - 1/6*v + 0 + 0*v**2 = 0?
-1, 0, 1/2
Let g(d) be the first derivative of -5*d**6/6 + 45*d**4/4 - 37. Factor g(w).
-5*w**3*(w - 3)*(w + 3)
Suppose 0 - 3/4*m**2 + 0*m + 3/8*m**4 + 3/8*m**3 = 0. Calculate m.
-2, 0, 1
Let x(y) = 2*y**4 - 13*y**3 - 2*y**2 + 13*y - 13. Let s(b) = -b**4 + 6*b**3 + b**2 - 6*b + 6. Let j(i) = 13*s(i) + 6*x(i). Solve j(f) = 0 for f.
-1, 0, 1
Suppose -6/5 - 2/5*t**2 + 8/5*t = 0. Calculate t.
1, 3
Suppose -4*n - 21 = -113. Let q = n + -67/3. Determine z so that 0 - q*z**2 - 2/3*z**4 + 0*z - 4/3*z**3 = 0.
-1, 0
Let t(i) = -i + 33. Let y be t(29). Let l(g) be the second derivative of -1/30*g**5 + 1/3*g**2 + y*g + 1/6*g**4 - 1/3*g**3 + 0. Suppose l(n) = 0. What is n?
1
Let o(r) be the third derivative of 7/240*r**5 - 13*r**2 + 0*r**3 + 0*r - 1/96*r**6 + 0 - 1/32*r**4 + 1/840*r**7. Factor o(g).
g*(g - 3)*(g - 1)**2/4
Factor 13*c**2 - 9*c**2 + 517 - 517 + 96*c.
4*c*(c + 24)
Factor 0*f**3 + f**4 + 22*f**2 - f - 23*f**2 + f**3.
f*(f - 1)*(f + 1)**2
Let b(q) be the second derivative of 2*q + 1/5*q**2 + 11/60*q**3 + 0 - 1/40*q**4. Determine y so that b(y) = 0.
-1/3, 4
Suppose -3*b = b - 2*o - 94, 4*b - 4*o - 92 = 0. Factor 3*c**3 + 15*c**2 + 9*c + 0*c**3 - b - 3.
3*(c - 1)*(c + 3)**2
Suppose 2*z - 2 = 2. Suppose -z*n = -4*n + 10. Factor 3*k**2 - 3*k**2 - k**2 + n*k**2 - 4*k.
4*k*(k - 1)
Let r = -16 + 18. Find s such that 5*s**4 + 10*s**3 + 3*s**2 + 2*s**r + 0*s**2 = 0.
-1, 0
Solve 2/3*q - 14/9*q**2 + 0 + 4/9*q**3 = 0.
0, 1/2, 3
Let c(b) be the first derivative of 2*b**5/35 + 17*b**4/14 + 52*b**3/7 + 32*b**2/7 - 256*b/7 - 65. Solve c(s) = 0 for s.
-8, -2, 1
Let n(l) be the first derivative of 10 + 2*l**3 - 6*l**2 - 24*l + 3/4*l**4. Factor n(x).
3*(x - 2)*(x + 2)**2
Let p(d) be the third derivative of -6*d**2 - d**3 + 0*d - 1/360*d**6 - 7/24*d**4 + 0 - 2/45*d**5. Factor p(h).
-(h + 2)*(h + 3)**2/3
Suppose 4*n + 42 = 5*a - 2*a, 0 = 4*a + 3*n - 81. Let h = a - 88/5. What is g in 2/5*g**2 - 2/5*g**3 + 2/5*g - h = 0?
-1, 1
Let f(o) be the third derivative of o**8/3360 - o**7/630 + 7*o**4/12 - 7*o**2. Let a(r) be the second derivative of f(r). Solve a(l) = 0 for l.
0, 2
Suppose -3*i = -0*i - 3. Let d be 0/((-4)/(-2) - i). Suppose 2 - 1 + 3*n**2 - 4*n**2 + d = 0. Calculate n.
-1, 1
Let o(s) = -s**3 + 6*s**2 - 2*s - 20. Let c be o(4). Suppose -3*u - 2*j - 3 = -5, -j - 10 = -c*u. Factor 5/8*f + 1/8*f**u + 1/2.
(f + 1)*(f + 4)/8
Factor 2/7*a**2 - 10/7*a + 12/7.
2*(a - 3)*(a - 2)/7
Let u be (-6*(-5)/55)/(117/99). Suppose 2/13*i**3 + u - 2/13*i - 6/13*i**2 = 0. What is i?
-1, 1, 3
Let i(m) = 2*m**2 + 6*m - 72. Let b(a) = -2*a**2 - 7*a + 69. Let h(x) = -4*b(x) - 5*i(x). Factor h(r).
-2*(r - 6)*(r + 7)
Suppose 7*t + 1176 = 8*t. Factor -32*n**3 + 11*n**3 - 5488 - t*n - 84*n**2 + 19*n**3.
-2*(n + 14)**3
Suppose -p + 4*a + 8 + 24 = 0, 3*a + 15 = 0. Let m be 1/p*6*1. What is l in -3/2*l**2 + l**4 - 1/4*l + m + l**3 - 3/4*l**5 = 0?
-1, -2/3, 1
Suppose b + 210 = 4*v + 4*b, -4*v + 3*b + 222 = 0. Let u be ((-3)/(-7))/(-2 + v/21). Solve -u*k**2 - k - 1/4 = 0.
-1, -1/3
Let v(m) = m**3 + 8*m**2 + m - 7. Let c be v(-8). Let z be 7 + 1 - (-12 - c). Suppose 9*t**z - 8*t**3 - t**2 + 5*t**4 - 2*t**4 - 2*t**2 - t**3 = 0. What is t?
-1, -1/3, 0, 1
Let w(v) be the second derivative of 5/4*v**3 + 0*v**2 - 14*v + 5/72*v**4 + 0. Determine b so that w(b) = 0.
-9, 0
Solve -44/7*q**2 - 16*q**3 + 120*q + 900/7 + 16/7*q**4 = 0 for q.
-3/2, 5
Determine s so that -2/3*s**2 + 26/3*s - 24 = 0.
4, 9
Suppose -5*t = 5*k + 10, -k - 99*t + 102*t = -6. Factor -8/17*p - 2/17*p**4 - 16/17*p**2 - 10/17*p**3 + k.
-2*p*(p + 1)*(p + 2)**2/17
Let v(y) = -8*y + 26. Let m be v(4). Let w be (-11 - m)*(-2)/45. Find i, given that 2/9*i**3 - w*i + 0*i**2 + 0 = 0.
-1, 0, 1
Let h(v) be the first derivative of -v**4/6 - 56*v**3/9 + v**2/3 + 56*v/3 + 136. Determine n so that h(n) = 0.
-28, -1, 1
Let s(k) = -k**4 - k**3 + k**2 + k - 1. Let q(y) = -8*y**4 + 47*y**3 - 157*y**2 + 163*y - 3. Let h = -9 - -6. Let v(j) = h*s(j) + q(j). Factor v(c).
-5*c*(c - 4)**2*(c - 2)
Let q be 0 + 2 - (72/8 - 9). Solve -4/11*t - 2/11*t**q + 0 = 0 for t.
-2, 0
Let d(b) = -b**5 - b. Let x(p) = -16*p**5 - 12*p**4 - 22*p**3 - 4*p**2 + 10*p + 16. Let r(l) = 28*d(l) - 2*x(l). Determine q, given that r(q) = 0.
-2, -1, 1
Suppose 0 = 3*w + 5*q + 7 + 2, 9 = 3*w - q. Let c be 1/(-2)*(0 + -4). Suppose -5*s**c + 4*s**2 - 3*s + s**2 + 3*s**w = 0. Calculate s.
0, 1
Solve -8*i**4 + 21*i**3 - 31*i + 14*i**4 - 21*i**2 - 5*i = 0 for i.
-4, -1, 0, 3/2
Suppose 2 + 2 = 4*h. Let a = -3 + h. Let o(v) = 6*v**2 + 2*v - 2. Let i(t) = -t**4 - t**2 - t. Let c(d) = a*i(d) - o(d). Factor c(n).
2*(n - 1)**2*(n + 1)**2
Let b(a) be the third derivative of -5*a**8/336 - a**7/7 - 3*a**6/8 - a**5/3 + a**2 - 8. Determine c so that b(c) = 0.
-4, -1, 0
Let k(c) be the third derivative of c**6/140 - 11*c**5/210 + 5*c**4/84 + c**3/7 + 107*c**2. Determine m so that k(m) = 0.
-1/3, 1, 3
Factor 78*v + 113*v - 66*v + 36*v**3 + 119*v + 40 + 384*v**2.
4*(v + 10)*(3*v + 1)**2
Suppose 4*m + 4*f = 20, 5 = 2*m + 3*f - 10. Let x be (-14)/(-7) + m/2. What is s in 28*s**2 - 2*s**3 - 3*s - 24*s**x + 3*s = 0?
0, 2
Let n(r) be the second derivative of 6*r + 0*r**4 + 0*r**2 - 1/40*r**6 + 1/168*r**7 + 0*r**3 + 0 + 1/40*r**5. What is z in n(z) = 0?
0, 1, 2
Let k(z) be the third derivative of -z**5/330 + 8*z**4/33 - 256*z**3/33 + 9*z**2 - z. Suppose k(x) = 0. What is x?
16
Let c(v) = -7*v**2 + v - 4. Let h be c(6). Let d = -248 - h. Let -1/6*x**d + 0 + 1/6*x = 0. Calculate x.
0, 1
Let t(v) be the first derivative of -v**6/4 + 6*v**5/5 - 3*v**4/8 - 3*v**3 + 95. Find n such that t(n) = 0.
-1, 0, 2, 3
Suppose -404*t + 15 = -399*t. Suppose 13 - 4 = t*r. Factor 2/7*m**5 - 4/7*m**r - 2/7 + 4/7*m**2 - 2/7*m**4 + 2/7*m.
2*(m - 1)**3*(m + 1)**2/7
Let f(x) be the third derivative of 1/1365*x**7 - 1/39*x**4 - 1/390*x**5 - 12*x**2 + 