 4*k**4/9 - 13*k**3/6 + 6*k. Let u(w) be the second derivative of d(w). Let u(p) = 0. Calculate p.
4
Factor -3/2*h**2 - h + 0 + 0*h**3 + 1/2*h**4.
h*(h - 2)*(h + 1)**2/2
Let k(w) be the third derivative of -1/21*w**4 - 28*w**2 + 0 - 2/21*w**3 - 1/105*w**5 + 0*w. Factor k(g).
-4*(g + 1)**2/7
Let q be (-9)/(-6)*128/24. Factor -12*f**2 + 9*f**2 - 5 + q*f**2.
5*(f - 1)*(f + 1)
Suppose -2*o = o + 96. Let m be (o/80)/(8/(-10)). Solve 9/2 + 5/2*z**4 + z**3 + m*z**5 - 3/2*z - 7*z**2 = 0 for z.
-3, -1, 1
Let z(s) be the third derivative of 1/28*s**4 - 1/105*s**5 - 25*s**2 + 0 + 0*s**3 + 0*s - 1/420*s**6. Factor z(j).
-2*j*(j - 1)*(j + 3)/7
Let f(d) = -21*d**2 - 30*d + 108. Let b(w) = 60*w**2 + 93*w - 324. Let m(q) = 6*b(q) + 17*f(q). Find h, given that m(h) = 0.
-18, 2
Let y be 48/14 + (-72)/21 + (-12)/(-28). Let g = -2 - -4. Determine o so that 15/7*o + 9/7 + 3/7*o**g - y*o**3 = 0.
-1, 3
Suppose -3*b - 992 = b. Let i be b/(-88) + (-2)/(-11). Solve -55*p**3 - 18*p**i + 12*p**2 - 8*p**2 - 4 + 20*p - 48*p**4 + 5*p**3 = 0.
-1, 1/4, 1/3
Let v(q) be the third derivative of q**8/160 + q**7/336 - q**6/120 + q**5/6 - q**2. Let m(b) be the third derivative of v(b). Factor m(x).
3*(6*x - 1)*(7*x + 2)
Suppose -t + 6*t - 18 = 2*g, -t + 1 = -3*g. Find k such that 3*k**t - 3/2*k**5 + 3/2*k + 0*k**3 + 0 - 3*k**2 = 0.
-1, 0, 1
Factor -124 + 120*w**4 + 23*w**3 + 4*w**2 - 2*w**5 - 246*w + 263*w**3 - 38*w**3.
-2*(w - 62)*(w - 1)*(w + 1)**3
Let b(s) = -s**5 + s**4 - s**3 - s**2 - 3. Let o(i) = -11*i**5 - 24*i**4 - 46*i**3 + 4*i**2 + 45*i + 2. Let a(g) = 6*b(g) - o(g). Find k such that a(k) = 0.
-4, -1, 1
Let i = 9 - 42. Let x be 6/i - (-824)/176. Determine b, given that 27/4 + 3/4*b**2 - x*b = 0.
3
Let f(s) = s**3 - 5*s**2 + 2*s + 5. Let m be f(4). Let d be 2/m*9/(-2). Find i such that 4*i - i**3 - 2 + 0*i**3 + 2*i**4 + i**3 - 4*i**d = 0.
-1, 1
Factor -28/5*f**2 + 64/5*f + 256/5 + 2/5*f**3.
2*(f - 8)**2*(f + 2)/5
Let x(j) be the third derivative of -j**7/2940 - j**6/630 - j**5/420 + 7*j**3/3 + 11*j**2. Let a(g) be the first derivative of x(g). Factor a(p).
-2*p*(p + 1)**2/7
Let t = 227/430 - 11/86. Solve -t*h + 3/5 - 1/5*h**2 = 0 for h.
-3, 1
Let f be (6 + -10)*1*58/(-4). Determine r so that -3 + 5*r + 0*r - f*r**2 + 61*r**2 - 3*r**3 - 2*r = 0.
-1, 1
Let q = 7951 + -31803/4. Suppose -q*m**2 + m + 0 = 0. Calculate m.
0, 4
Let y(f) = -2*f + 23 + 1 - 7. Let u be y(7). Factor 4*v**2 - 3*v**4 + 140 - 140 - 4*v**u.
-v**2*(v + 2)*(3*v - 2)
Let w(r) be the second derivative of -r**6/60 - 3*r**5/20 - r**4/2 - 2*r**3/3 - r + 17. Let w(u) = 0. What is u?
-2, 0
Let p(u) be the third derivative of -9*u**5/20 - u**4/4 + 3*u**3/2 + 12*u**2. Let q(i) = -4*i**2. Let f(b) = 4*p(b) - 28*q(b). Factor f(r).
4*(r - 3)**2
Let n(l) = 38*l**2 + 192*l + 10. Let j be n(-5). Let w(f) be the second derivative of 1/5*f**5 + 2*f**2 - 2/3*f**3 - 1/3*f**4 - 8*f + j. What is a in w(a) = 0?
-1, 1
Let q(u) = -3*u**3 - 2*u**2 - 6*u + 4. Let p(n) = n**3 + n. Let a(k) = 4*p(k) + q(k). Let c be a(2). Factor c - 3/2*d + 3/2*d**3 + 3/2*d**2 - 3/2*d**4.
-3*d*(d - 1)**2*(d + 1)/2
Let i = -6 - -10. Solve -6*w**3 + 22 + w**i - 5*w**3 + w**3 - 54*w + 36*w**2 + 5 = 0 for w.
1, 3
Let t = 8 - 8. Suppose 5*a - 4*o - 33 = 0, a - 6*a + 5*o + 35 = t. Suppose -9/7*r**3 + 3/7*r**2 + 0 - 6/7*r**a + 3/7*r - 15/7*r**4 = 0. What is r?
-1, 0, 1/2
Let n be (-295)/(-295)*2*3/14. Factor n*d + 0 - 1/7*d**3 - 2/7*d**2.
-d*(d - 1)*(d + 3)/7
Let l(v) be the third derivative of 0*v + 0*v**3 - 10*v**2 + 0*v**4 + 1/780*v**6 + 0 + 0*v**5. Suppose l(y) = 0. What is y?
0
Let z(k) be the third derivative of k**8/1344 - k**6/48 - k**5/12 + 2*k**4/3 + 3*k**2. Let x(r) be the second derivative of z(r). Suppose x(p) = 0. Calculate p.
-1, 2
Let c be (9 - 6) + 15*1/(-7). Let c*x + 3/7*x**2 + 3/7 = 0. What is x?
-1
Let d = -2767/16 - -173. Let r(g) be the first derivative of 1/24*g**6 - d*g**4 + 0*g - 6 + 1/6*g**3 + 0*g**2 - 1/10*g**5. Factor r(k).
k**2*(k - 2)*(k - 1)*(k + 1)/4
Let y(m) = -m**2 + m - 1. Let o(u) = 44*u - 4 - 116*u**2 + 4 + 1 + 3 - 30*u**4 + 99*u**3 + 3*u**5. Let g(r) = -o(r) - 4*y(r). Solve g(i) = 0 for i.
0, 1, 4
Let y(z) = -z**5 - z**2 + z. Let d(r) = 5*r**5 - 10*r**4 + 37*r**3 - 60*r**2 + 48*r - 16. Let c(b) = -d(b) - 4*y(b). Find f, given that c(f) = 0.
1, 2, 4
Factor -2/7*n**3 + 166/7*n + 12 + 80/7*n**2.
-2*(n - 42)*(n + 1)**2/7
Let q(a) be the second derivative of 5/12*a**4 + 0 - 4*a - 1/20*a**5 + 2*a**2 - 4/3*a**3. Solve q(j) = 0 for j.
1, 2
Let s(j) be the second derivative of j**5/160 - j**4/16 - j**3/48 + 3*j**2/8 + 108*j. Factor s(p).
(p - 6)*(p - 1)*(p + 1)/8
Let r(g) be the first derivative of -1/3*g**3 - 1/2*g**2 - 11 + 0*g. Suppose r(v) = 0. What is v?
-1, 0
Let p(v) be the second derivative of 0*v**3 + 1/15*v**5 + 0 - 11*v - 1/45*v**6 - 1/18*v**4 + 0*v**2. What is m in p(m) = 0?
0, 1
Let b = 392 - 389. Let v = 4/223 - -2441/669. Find l, given that -v*l**2 + l**b + 1 + 5/3*l = 0.
-1/3, 1, 3
Let d = -48 - -47. Let r be 16/(-48)*(d + 1 + -1). Factor -v**2 - 2/3 + 1/3*v**3 - 5/3*v + r*v**4.
(v - 2)*(v + 1)**3/3
Let i = -364 - -1094/3. Let i*p**3 + 0*p**2 + 1/3*p**5 + 0*p + 0 + p**4 = 0. Calculate p.
-2, -1, 0
Let v = -13 + 15. Factor -v - 22*w + w**3 + 9*w + 10*w.
(w - 2)*(w + 1)**2
Let w be 2/(-1916)*(8 - 6). Let d = w - -971/6227. Find a such that d*a**2 + 0*a - 2/13 = 0.
-1, 1
Let u(l) be the second derivative of -l**6/15 - 6*l**5 - 279*l**4/2 + 1922*l**3/3 + 4*l - 42. Factor u(j).
-2*j*(j - 2)*(j + 31)**2
Let s = 347/507 + -3/169. Determine a so that 2/3*a**3 - 1/3*a - 4/3*a**2 + 2/3 + s*a**4 - 1/3*a**5 = 0.
-1, 1, 2
Let w(n) be the second derivative of -n**4/126 - 5*n**3/63 - 2*n**2/7 + 148*n. Factor w(v).
-2*(v + 2)*(v + 3)/21
Let v(c) = c - 1. Let s(k) = -k**2 - k - 9. Let w(n) = -s(n) + 5*v(n). Let a be w(-6). Factor 24*o**3 + 14*o**a - 2*o**2 - 24*o + 8*o**2 + 20*o.
2*o*(o + 1)**2*(7*o - 2)
Let m(y) be the second derivative of -5*y**7/42 + y**6/6 + y**5/4 - 5*y**4/12 + 222*y. Factor m(a).
-5*a**2*(a - 1)**2*(a + 1)
Let 0 - 4/9*w**3 + 4/9*w + 2/9*w**4 - 2/9*w**2 = 0. What is w?
-1, 0, 1, 2
Suppose 8*x = 10*x. Suppose -5*m + m + 16 = x. Let -9*r**4 - 10*r**3 + 8 + 2*r**2 + 28*r - 12*r + 7*r**m + 2*r**5 = 0. Calculate r.
-1, 2
What is l in -8*l**4 - 4*l**3 + 5*l - 17*l**2 - l**3 + 3*l**4 + 22*l**2 = 0?
-1, 0, 1
Let f(s) be the third derivative of 0 - 1/30*s**7 + 0*s**3 + 1/12*s**4 + 0*s - 7*s**2 - 1/10*s**6 - 1/20*s**5. Solve f(c) = 0 for c.
-1, 0, 2/7
Let b(c) be the third derivative of -c**7/42 + c**5/4 + 5*c**4/12 + 56*c**2 + c. Factor b(j).
-5*j*(j - 2)*(j + 1)**2
Let c(m) = 5*m**4 + m**3 - 2*m**2 + 13*m + 4. Let z(k) = 2*k**4 - k**2 + 6*k + 2. Let r(j) = -3*c(j) + 7*z(j). Factor r(l).
-(l - 1)*(l + 1)**2*(l + 2)
Let b = 156058 - 1089381/7. Let f = b - 431. Let 10/7*z + 2/7*z**3 + 4/7 + f*z**2 = 0. What is z?
-2, -1
Suppose 42*j + 48*j - 270 = 0. Let 0 + 2/5*c**2 + 2/5*c**5 - 2/5*c**4 - 6/5*c**j + 4/5*c = 0. Calculate c.
-1, 0, 1, 2
Factor -15*j**2 + 132*j + 2*j**5 - 3*j**2 - 148*j + 18*j**4 + 14*j**3.
2*j*(j - 1)*(j + 1)**2*(j + 8)
Let v(s) be the second derivative of s**4/12 - 4*s**3/3 + 8*s**2 - 131*s. Let v(w) = 0. Calculate w.
4
Let a(t) be the third derivative of 4/1995*t**7 + 0*t**4 - 3/95*t**5 + 0*t - 1/3192*t**8 + 1/380*t**6 + 0 + 0*t**3 + 14*t**2. Solve a(v) = 0.
-2, 0, 3
Suppose -15*v = -11*v - 40. Suppose 2*t + 72*t**3 - 74*t**3 - 4*t**2 + v*t**2 - 6 = 0. Calculate t.
-1, 1, 3
Let s(b) = b**2 + 18*b + 51. Let n(d) = -d**2 - 6*d + 2. Let o(x) = -2*n(x) - s(x). Factor o(i).
(i - 11)*(i + 5)
Let z(r) = 3*r**2 + 7*r + 4. Let n be z(-3). Suppose n*m**2 - 4*m + 7*m**2 - 29*m**4 + 3*m**2 - 12*m**3 - 7*m**4 = 0. Calculate m.
-1, 0, 1/3
Let s(y) = 154*y + 627. Let t be s(-4). Let f(p) be the first derivative of -25/2*p**2 + 5/2*p**4 + t + 10*p + 5/3*p**3. Factor f(r).
5*(r - 1)*(r + 2)*(2*r - 1)
Let g be 2/13 + (-111)/12*(-4)/13. Find t, given that -2/9*t**2 + 0*t - 2/9*t**g + 0 = 0.
-1, 0
Let k(f) = f**3 - 4*f**2 + 3*f - 1. Let a be k(6). Let l = -87 + a. Factor -1/5*x - 2/5*x**l + 0 - 1/5*x**3.
-x*(x + 1)**2/5
Let u(n) be the third derivative of n**9/17280 - n**8/3360 + n**7/3360 + n**6/720 - 7*n**5/60 + 34*n**2. Let x(j) be the third derivative of u(j). Factor x(d).
(d - 1)**2*(7*d + 2)/2
Let l = 45 - 