)/((-2)/b). Factor -2*j - k*j**2 - 3*j - 5*j - 4.
-2*(j + 1)*(3*j + 2)
Suppose 0 = -3*j + 2*j. Let k(p) be the third derivative of 0*p**3 + 0*p**5 + 0 - 1/84*p**4 + j*p + 1/420*p**6 - 2*p**2. Solve k(u) = 0 for u.
-1, 0, 1
Let x(y) be the third derivative of -y**8/10080 - y**7/1260 + y**5/30 - 5*y**2. Let j(a) be the third derivative of x(a). Suppose j(b) = 0. Calculate b.
-2, 0
Let u(n) = n**2 - 23*n - 22. Let w be u(24). Factor -3/2*c**w + 6*c - 6.
-3*(c - 2)**2/2
Determine v, given that -127*v + 0*v**3 - 2*v**3 + 10*v**2 + 111*v + 8 = 0.
1, 2
Let j = -2316/5 + 464. Factor 0*s**3 + 2/5*s - 4/5*s**2 + j*s**4 + 0 - 2/5*s**5.
-2*s*(s - 1)**3*(s + 1)/5
Let g(h) = h - 2. Let v be g(5). Suppose 2*s - 15 = -v*j - 2*j, 0 = -5*j - 3*s + 10. Factor 2*c**2 - c - j*c**3 + 2*c**3 + 2*c**3.
-c*(c - 1)**2
Let c(s) = s**2 - s + 1. Let p(x) = -9*x**4 + 25*x**3 - 26*x**2 + 8*x - 3. Let g(m) = -10*c(m) - 2*p(m). Factor g(f).
2*(f - 1)**3*(9*f + 2)
Let n(m) be the second derivative of m**8/448 + m**7/420 - m**6/48 - m**5/20 - m**4/6 + m. Let o(t) be the third derivative of n(t). Factor o(j).
3*(j - 1)*(j + 1)*(5*j + 2)
Suppose 3*d - 18 = -3*d. Let 0*r**2 + 0*r + 0*r**d - 2/9*r**4 + 0 = 0. What is r?
0
Factor -2 - 2/7*o**2 + 16/7*o.
-2*(o - 7)*(o - 1)/7
Factor 4*v + 0*v - 14*v**2 + 14*v**2 - 4*v**2.
-4*v*(v - 1)
Let j be 26/(-4) - (-3)/(-2). Let o be (3 + j + 1)/(-10). Let 0 - 2/5*d - 2/5*d**2 + o*d**4 + 2/5*d**3 = 0. What is d?
-1, 0, 1
Let m(o) be the second derivative of o**7/1260 + o**6/90 + o**5/20 - o**4/4 + 2*o. Let f(x) be the third derivative of m(x). Find g, given that f(g) = 0.
-3, -1
Let i = 62/119 - 4/17. Factor -i*k + 0 + 4/7*k**2.
2*k*(2*k - 1)/7
Let n be 18 + (6 + -4)/2. Let -n*g - 8 - 17*g - 10*g**2 - 18*g**2 = 0. What is g?
-1, -2/7
Let d be (-4)/8*6 - -3. Let x(s) be the second derivative of 1/20*s**5 + s + d*s**2 + 1/6*s**3 + 0 + 1/6*s**4. Factor x(f).
f*(f + 1)**2
Let k(h) = 8*h**2 - 91*h + 283. Let v(x) = -4*x**2 + 46*x - 142. Let u(p) = -2*k(p) - 5*v(p). Factor u(y).
4*(y - 6)**2
Let w(c) = 5*c - 17. Let o be w(4). Let g(v) be the second derivative of v + 1/4*v**2 + 0 - 1/6*v**o + 1/24*v**4. Factor g(q).
(q - 1)**2/2
Let m(r) be the first derivative of -49*r**3/3 - 28*r**2 - 16*r + 8. Factor m(u).
-(7*u + 4)**2
Suppose 2*c - 11 = -3*y + 1, -2*y + 8 = c. Factor c*s + s + 8*s**2 + 3*s**3 + s + 3*s**3.
2*s*(s + 1)*(3*s + 1)
Let h(t) be the second derivative of -1/2*t**3 + 1/2*t**2 - t - 1/20*t**5 + 0 + 1/4*t**4. Factor h(k).
-(k - 1)**3
Find m such that -4*m**2 - 24/7*m + 12/7*m**3 + 0 = 0.
-2/3, 0, 3
Let g(j) be the third derivative of j**5/270 - j**4/27 + j**3/9 + 58*j**2. Find m such that g(m) = 0.
1, 3
Suppose -5*a = -4*g - 4, -5*a + 20 = g - a. Let r(q) be the first derivative of -1/6*q**g + 1/3*q**2 + 2/9*q**3 - 2/3*q - 2. Factor r(d).
-2*(d - 1)**2*(d + 1)/3
Let j(m) = m**2 - m - 4. Let n be j(3). Let -n*l + 2 + 3*l**2 - 3 - l**2 - 3 = 0. What is l?
-1, 2
Let o(x) = -x**5 - x**3 + 2*x**2 - 3*x + 3. Let p(b) = b**3 - 1. Let z(l) = -o(l) - 5*p(l). Factor z(d).
(d - 2)*(d - 1)*(d + 1)**3
Let k be 87/24 + 36/96. Find i such that -36/5 - 4/5*i**3 + k*i**2 - 12/5*i = 0.
-1, 3
Let p be (-4)/28 - 66/(-21). Suppose -p*o - 3 = 3*r, 4*o - 24 = 5*r - 1. Suppose 1/2 + 1/4*x - 1/4*x**o = 0. What is x?
-1, 2
Let t(b) = -4*b**5 - 18*b**4 - 18*b**3 - 10*b**2 - 6*b. Let d(y) = y**4 + y**3 + y**2 + y. Let i(l) = -6*d(l) - t(l). Factor i(a).
4*a**2*(a + 1)**3
What is w in 8/9 + 8/9*w - 2/9*w**3 - 2/9*w**2 = 0?
-2, -1, 2
Let k(j) be the first derivative of 3*j**3 + 7 + 9/4*j**4 + 0*j + 3/5*j**5 + 3/2*j**2. Factor k(o).
3*o*(o + 1)**3
Let g(z) be the first derivative of 3*z**7/245 - z**6/35 + 2*z**5/105 + z**2/2 - 5. Let d(y) be the second derivative of g(y). Factor d(i).
2*i**2*(3*i - 2)**2/7
Let a(c) be the first derivative of c**6/6 - 2*c**5/5 - 5*c**4/4 + 10*c**3/3 + 2*c**2 - 8*c + 5. Let a(v) = 0. What is v?
-2, -1, 1, 2
Let j(v) be the first derivative of 3*v**4/2 + 16*v**3/3 + 3*v**2 - 4*v - 17. Solve j(y) = 0 for y.
-2, -1, 1/3
Let d(m) be the third derivative of 1/30*m**5 + 0 + 0*m**3 + 0*m**4 + 1/60*m**6 - 1/105*m**7 - 1/168*m**8 + 0*m - 2*m**2. Factor d(f).
-2*f**2*(f - 1)*(f + 1)**2
Let j(d) be the third derivative of d**5/30 + d**4/2 + 23*d**2. Solve j(h) = 0.
-6, 0
What is z in -2/7*z**4 + 0*z**2 - 2/7*z**5 + 0*z**3 + 0*z + 0 = 0?
-1, 0
Let n = 121/3 + -40. Factor -2/3*b**2 + 0*b - 1/3*b**3 + n*b**4 + 0.
b**2*(b - 2)*(b + 1)/3
Let j(b) be the first derivative of b**6/15 - 3*b**5/10 + b**4/6 + b**3 - 2*b**2 + 2*b - 2. Let u(y) be the first derivative of j(y). Let u(m) = 0. Calculate m.
-1, 1, 2
Suppose -873 = 2*g - 877. Let h = 4 + -1. Let 4/3*i + 0 - 2/3*i**h + 2/3*i**g = 0. Calculate i.
-1, 0, 2
Suppose 0 = 4*o + 6 - 14. Let r(l) be the first derivative of 1/15*l**6 + 3/10*l**4 + 0*l**o - 6/25*l**5 + 0*l - 2/15*l**3 - 2. Factor r(g).
2*g**2*(g - 1)**3/5
Let c(p) be the second derivative of -3*p**5/5 + 2*p**4/3 + 14*p**3/3 + 4*p**2 + 2*p. Factor c(x).
-4*(x - 2)*(x + 1)*(3*x + 1)
Suppose 3*k - 14 = -2*s, s - 10 = -2*k - s. Suppose 0 = -d - k*d + 20. Factor 4*h**4 + 0*h**4 - 2*h**d + h**5 + 0*h**2 - 2*h**2 - h.
h*(h - 1)*(h + 1)**3
Let d(z) = 2*z**3 + 12*z**2 + 10*z + 12. Let l(i) = i**2 + i + 1. Suppose -4*v + 3*v - 62 = 5*k, 4 = -k + 4*v. Let w(p) = k*l(p) + d(p). What is j in w(j) = 0?
-1, 0, 1
Factor 9/2*t + 7/2*t**4 - 9/2*t**3 - 5/2*t**2 - 1.
(t - 1)**2*(t + 1)*(7*t - 2)/2
Suppose 0 = -507*j + 498*j. Suppose -1/2*q**4 + j + 1/2*q**2 - 1/2*q**3 + 1/2*q = 0. Calculate q.
-1, 0, 1
Suppose -10 = 2*s - 7*s. Find v, given that 8/11*v + 2/11*v**5 + 12/11*v**4 + 0 + 26/11*v**3 + 24/11*v**s = 0.
-2, -1, 0
What is a in -54/23*a + 18/23*a**2 + 54/23 - 2/23*a**3 = 0?
3
What is o in -27/4 - 3/4*o**2 - 15/2*o = 0?
-9, -1
Let f(c) be the second derivative of -c**4/9 - 10*c**3/9 - 4*c**2 + 2*c - 53. Factor f(h).
-4*(h + 2)*(h + 3)/3
Let r = 1037/70 - 74/5. Let i = 16/105 + r. Factor -1/6*s**4 - 1/6*s - 1/6 - i*s**5 + 1/3*s**2 + 1/3*s**3.
-(s - 1)**2*(s + 1)**3/6
Solve -4*z**2 + 106*z + 0*z**2 - 4 - 98*z = 0 for z.
1
Let c be (16/20)/((-4)/(-10)). Determine v so that -30*v**2 + c + 4*v - 2*v**2 - 6*v + 32*v**3 = 0.
-1/4, 1/4, 1
Let s = 2/285 + 454/285. Determine v so that -s*v + 8/5 + 2/5*v**2 = 0.
2
Let a(d) be the second derivative of d - 1/90*d**5 + 0*d**2 + 0 + 0*d**3 - 1/54*d**4. Solve a(i) = 0.
-1, 0
Let n = 9 - 5. Let w(t) be the second derivative of 0*t**3 - 1/3*t**2 + 2*t + 0*t**5 - 1/45*t**6 + 1/9*t**n + 0. Let w(d) = 0. Calculate d.
-1, 1
Let h(v) = -2*v**2 + 4*v - 2. Let f(q) = 4*q**2 - 8*q + 4. Let i = 3 + -3. Suppose -t + 5 - 3 = i. Let k(j) = t*f(j) + 5*h(j). Find d such that k(d) = 0.
1
Let m = -37799/60 + 630. Let v(q) be the third derivative of -1/210*q**7 - 1/60*q**6 + 0*q**3 + 0*q**4 + 0*q + 2*q**2 - m*q**5 + 0. Factor v(h).
-h**2*(h + 1)**2
Factor 16*l + 2*l**3 + 4*l**4 - 8*l**2 + 10*l**2 + 30*l**2 + 18*l**3.
4*l*(l + 1)*(l + 2)**2
Let d(x) be the second derivative of x**6/90 + x**5/20 + x**4/36 - x**3/6 - x**2/3 - 5*x - 7. Determine v, given that d(v) = 0.
-2, -1, 1
Determine g, given that -9 + 3*g**2 + 9 = 0.
0
Let i(a) be the first derivative of a**4/4 - a**3 - a**2/2 + 3*a + 7. Determine n, given that i(n) = 0.
-1, 1, 3
Let h(j) = -j + 1. Let p be h(7). Let v(g) = g**3 + 3*g**2 - 4*g. Let b(d) = d. Let y(u) = p*b(u) - v(u). Determine r so that y(r) = 0.
-2, -1, 0
Find d such that 2/7*d**2 + 12/7 + 10/7*d = 0.
-3, -2
Let o = 15 - 10. Let l(y) = y + 2. Let m be l(-2). Suppose o*h + h**2 - h + m*h**2 - 2 - 3*h = 0. Calculate h.
-2, 1
Let d be -1 + 6 - 14/7. Solve r**3 - 10*r**2 - 4*r**3 + 4*r + 4*r**2 - 2*r**5 + 6*r**4 + r**d = 0 for r.
-1, 0, 1, 2
Suppose -48 = 6*p - 6. Let h be 2/p + 23/7. Solve 3/2*f**5 + 0 + 7/2*f**4 - f + 3/2*f**h - 3/2*f**2 = 0 for f.
-1, 0, 2/3
Let v = -995 + 3981/4. Let 3/4*d**4 - 1/2*d**3 + 0*d + 0*d**2 + 0 - v*d**5 = 0. What is d?
0, 1, 2
Let x(w) be the third derivative of 1/360*w**6 + 0*w**4 - 1/180*w**5 + 1/630*w**7 - 3*w**2 - 1/1008*w**8 + 0 + 0*w**3 + 0*w. Let x(k) = 0. Calculate k.
-1, 0, 1
Let u(h) be the second derivative of 0*h**4 - 1/70*h**5 + 0 + 6*h + 0*h**2 - 1/147*h**7 + 0*h**3 + 2/105*h**6. Factor u(n).
-2*n**3*(n - 1)**2/7
Let m = -118 + 1063/9. Let q(a) be the second derivative of 1/36*