5 + 0*w - 3/2*w**2 - 7/360*w**6 - 1/24*w**4. Let t(x) be the second derivative of u(x). Factor t(r).
-(r + 1)**2*(7*r - 2)/3
Suppose 5*t - 21*t = 0. Let 1/2*s**3 + 1/2*s - s**2 + t = 0. Calculate s.
0, 1
Factor 1/3*y - 1/3*y**3 + y**2 - 1/3*y**4 - 2/3.
-(y - 1)**2*(y + 1)*(y + 2)/3
Determine k, given that 2*k**3 - 8 + 4*k + 0*k + 8*k**2 - 5*k**3 - k**3 = 0.
-1, 1, 2
Let c(o) be the first derivative of 2*o - 1/12*o**3 + 1/24*o**4 + 0*o**2 + 1. Let p(k) be the first derivative of c(k). Let p(t) = 0. What is t?
0, 1
Let p be (-16)/(3 + 1) - 26/(-5). Determine j, given that 2/5*j - 2/5*j**4 - 6/5*j**2 + p*j**3 + 0 = 0.
0, 1
Let p be 87/11*1/10. Let q = p - -1/110. Factor 2/5 - q*a**3 - 2/5*a**4 + 0*a**2 + 4/5*a.
-2*(a - 1)*(a + 1)**3/5
Let x(w) be the third derivative of -w**5/420 + 2*w**4/21 - 32*w**3/21 + 43*w**2. Suppose x(b) = 0. What is b?
8
Factor -1/6*l**2 - 1/6*l**3 + 0 + 0*l.
-l**2*(l + 1)/6
Let k(m) be the first derivative of -m**3/6 + m**2/4 - 6. Factor k(q).
-q*(q - 1)/2
Let t(i) be the first derivative of -1 + 0*i - 2/15*i**5 - 1/3*i**2 - 1/2*i**4 - 2/3*i**3. Find k, given that t(k) = 0.
-1, 0
Let a(g) be the first derivative of -g**6/3 + 6*g**5/5 - g**4/2 - 2*g**3 + 2*g**2 - 6. Determine j so that a(j) = 0.
-1, 0, 1, 2
Factor 45*v + 4*v**2 + 3*v**3 + 27 - 4*v**2 + 21*v**2.
3*(v + 1)*(v + 3)**2
Suppose -q + y = -0*y + 1, -22 = -5*q - 4*y. Let g be (1/(-2))/((-3)/q). Find j such that 0 - 1/3*j**2 + g*j**4 + 0*j + 0*j**3 = 0.
-1, 0, 1
Suppose 3*f - 16 = 37*y - 35*y, 28 = 5*f - 4*y. Suppose -5/3*l**2 - 4/3*l**3 - 2/3*l - 1/3*l**f + 0 = 0. Calculate l.
-2, -1, 0
Suppose -3*n - 4*v = 2, 3*n + 5*v = 4*v + 4. Suppose 5*j - n*a = 17, j + 3*j - 17 = 5*a. Suppose -2/7*d**4 - 2/7*d**j + 0*d + 0 + 0*d**2 = 0. What is d?
-1, 0
Factor -2/3 - 1/2*t**2 + 4/3*t.
-(t - 2)*(3*t - 2)/6
Let w be 3/(-72)*-6*(-9)/(-6). Let j(p) be the first derivative of -1/6*p**3 + 3/20*p**5 - 3 + 1/24*p**6 - 1/4*p - w*p**2 + 1/8*p**4. Factor j(n).
(n - 1)*(n + 1)**4/4
Suppose 2*v = 6*v - 12. Let -j**v + j**5 - j - j**3 + 2*j = 0. What is j?
-1, 0, 1
Let -8 - 1/2*y**2 - 4*y = 0. Calculate y.
-4
Let s(u) be the third derivative of u**8/420 - 2*u**7/525 - u**6/75 + 2*u**5/75 + u**4/30 - 2*u**3/15 + 3*u**2. Factor s(g).
4*(g - 1)**3*(g + 1)**2/5
Let 2*j**4 - 6*j**2 - 3*j**3 + j**3 + 2*j + 4*j**2 = 0. Calculate j.
-1, 0, 1
Let j(u) be the first derivative of -u**5/25 + u**3/5 - u**2/5 + 2. Suppose j(h) = 0. Calculate h.
-2, 0, 1
Let u(q) be the first derivative of 1/3*q**6 - q**4 - 4*q - 4/5*q**5 - 8 + 8/3*q**3 + q**2. What is d in u(d) = 0?
-1, 1, 2
Let z be 186/(-231) - (-2)/(-7). Let y = -37/44 - z. What is r in y*r**2 + 0 + 1/4*r**3 + 0*r = 0?
-1, 0
Suppose c + z = 4, 8*c = 9*c + 5*z - 8. Let q = 1 - 1. Factor -1/4*l - 1/4*l**5 - 3/2*l**c - l**4 + q - l**2.
-l*(l + 1)**4/4
Let w(c) = c**2 - 4*c - 2. Let v be w(4). Let u be v/1 + (-60)/(-27). Solve 0 + 2/9*k**2 + u*k = 0.
-1, 0
Factor 26 - 36 - 9*i + 35*i**2 + 7*i + 27*i.
5*(i + 1)*(7*i - 2)
Suppose 20*f = 18*f + 20. Suppose -f*j + 13*j = 0. Determine m, given that -1/2*m**3 - 1/2*m**2 + 1/2*m**4 + j + 0*m + 1/2*m**5 = 0.
-1, 0, 1
Let i(d) = -1. Let a(c) = -5*c**2 + 6*c - 3. Let w be (-1)/((-3)/(-2) - 1). Let p(v) = w*i(v) + a(v). Solve p(x) = 0.
1/5, 1
Let g = 928 + -2783/3. Factor -1/3*d + 0 + g*d**2.
d*(d - 1)/3
Let v(s) be the second derivative of -s**6/105 - s**5/35 - s**4/42 + s. Find x, given that v(x) = 0.
-1, 0
Let h(x) = x + 1. Let k(r) = -36*r**3 - 28*r**2 + 84*r - 12. Let l(u) = -4*h(u) + k(u). Suppose l(p) = 0. Calculate p.
-2, 2/9, 1
Let x be ((-2)/9)/((-12)/9). Let a(s) be the first derivative of 2 + 0*s**2 - 1/2*s + x*s**3. Solve a(u) = 0.
-1, 1
Suppose 2*f = -2*n + 6, -5*n - 3 = -3*f - 18. Factor 1/3*i + 0*i**2 - 2/3*i**3 + 0 + 1/3*i**5 + f*i**4.
i*(i - 1)**2*(i + 1)**2/3
Let d(p) be the third derivative of -p**7/630 + p**6/1080 + p**5/90 + p**4/12 - 3*p**2. Let r(h) be the second derivative of d(h). Suppose r(g) = 0. What is g?
-1/2, 2/3
Let z(o) be the first derivative of -1/2*o**2 + 1/8*o**4 - 1/6*o**3 + 0*o - 2. What is k in z(k) = 0?
-1, 0, 2
Let o(i) be the second derivative of 3*i**5/40 + i**4/4 + i**3/4 + 6*i. Suppose o(c) = 0. Calculate c.
-1, 0
Let f(x) be the second derivative of 0 + 0*x**2 + 2/25*x**5 + 1/75*x**6 + 2/15*x**3 - 4*x + 1/6*x**4. Suppose f(u) = 0. What is u?
-2, -1, 0
Let 4*k**2 - 5*k**5 + 6*k**2 - 3*k - 10*k**4 + 8*k = 0. What is k?
-1, 0, 1
Let n(h) be the first derivative of h**4/48 - h**3/12 - 3*h - 9. Let m(s) be the first derivative of n(s). Determine b, given that m(b) = 0.
0, 2
Let m(k) be the first derivative of k**3/6 + k**2/4 - 6. Find t such that m(t) = 0.
-1, 0
Let b(j) be the first derivative of j**5/70 - j**4/42 - j**3/21 + j**2/7 - 2*j - 1. Let g(z) be the first derivative of b(z). Factor g(o).
2*(o - 1)**2*(o + 1)/7
Solve 5*x - 7*x + 4 + 0*x - 6*x + 4*x**2 = 0 for x.
1
Let f be 39/8 - (-18)/144. Let -c**5 + 2*c**5 + c**f = 0. Calculate c.
0
Let q be 2/8*1 - 120/504. Let a(j) be the third derivative of 0*j + 0 + q*j**4 + 1/105*j**5 + j**2 + 0*j**3 + 1/420*j**6. Factor a(l).
2*l*(l + 1)**2/7
Let u be 11/6 - (-51)/(-34). What is k in 2/3*k - u*k**2 - 1/3 = 0?
1
Let c(n) = 24*n**2 - 40*n - 64. Let g(y) = -5*y**2 + 8*y + 13. Let z(a) = -6*c(a) - 28*g(a). Suppose z(f) = 0. Calculate f.
-1, 5
Let w(x) = -x**2 - 1. Let s(f) = 15*f**2 + 13*f + 3. Let q(g) = s(g) - 4*w(g). Let m(n) = -3*n**2 - 2*n - 1. Let a(j) = -39*m(j) - 6*q(j). Factor a(k).
3*(k - 1)*(k + 1)
Let h be ((-591)/(-30))/(4/10). Let r = h - 49. Factor -n**3 - 3/4*n**2 + 0 + r*n.
-n*(n + 1)*(4*n - 1)/4
Let t(a) be the second derivative of -a**5/10 - 2*a**4/5 - 4*a**3/15 - a. Let t(f) = 0. Calculate f.
-2, -2/5, 0
Factor -3*u**3 + 3/5*u**4 + 21/5*u**2 + 0 - 9/5*u.
3*u*(u - 3)*(u - 1)**2/5
Let v be (-28)/(-154) - 3/(-44). Factor 1/4*l**4 + 0 - v*l - 1/4*l**2 + 1/4*l**3.
l*(l - 1)*(l + 1)**2/4
Let x be (-5)/(15/(-2))*-48. Let t(d) = 8*d**3 - 29*d**2 + 24*d - 13. Let k(w) = 52*w**3 - 188*w**2 + 156*w - 84. Let l(r) = x*t(r) + 5*k(r). Factor l(i).
4*(i - 1)**3
Let n be 3 + ((-2)/(-1) + -1)*1. Let a(k) be the first derivative of -2 + 1/2*k**n - 4/9*k + 13/9*k**2 - 16/9*k**3. Factor a(z).
2*(z - 2)*(3*z - 1)**2/9
Let i(o) be the third derivative of -o**7/56 + 11*o**6/60 - 23*o**5/40 + 3*o**4/4 - o**3/6 - 5*o**2. Let l(s) be the first derivative of i(s). Factor l(r).
-3*(r - 3)*(r - 1)*(5*r - 2)
Factor 0 - 3/4*d**4 + 3/4*d**2 + 3/4*d**3 - 3/4*d.
-3*d*(d - 1)**2*(d + 1)/4
Let z(o) be the first derivative of 2*o**5/55 - o**4/11 - 2*o**3/33 + 2*o**2/11 - 6. Find c such that z(c) = 0.
-1, 0, 1, 2
Let a(d) be the first derivative of d**7/1260 - d**6/270 - d**5/180 + d**4/18 + 4*d**3/3 + 3. Let v(b) be the third derivative of a(b). Factor v(n).
2*(n - 2)*(n - 1)*(n + 1)/3
Let -2*c**2 + 2*c**4 + 0 - 1/2*c**5 - 3/2*c**3 + 2*c = 0. What is c?
-1, 0, 1, 2
Factor 0*i**2 - 3*i**2 + 30*i + 6*i**2.
3*i*(i + 10)
Let t(s) = 4*s**3 + 4*s**2 + 3*s - 3. Let w(y) = -y**3 - y**2 - y + 1. Let x be 6*(-3 + (-5)/(-2)). Let v(q) = x*w(q) - t(q). Find g such that v(g) = 0.
-1, 0
Suppose 4*q - 5*q = 3*z + 2, 5*q - 5*z + 50 = 0. Let x be q/(-6)*3/5. Determine w, given that x*w + 0 - 2/5*w**2 = 0.
0, 2
Suppose -4*p = 5 + 11, -2*p + 4 = 2*s. Let g be (s/15)/(4/5). Factor g*x**2 - 1/2*x + 0.
x*(x - 1)/2
Find v, given that -2/3*v**3 - 2/3*v**4 + 2*v**2 - 4/3 + 2/3*v = 0.
-2, -1, 1
Let a(o) be the first derivative of o**6/8 + 3*o**5/5 + 15*o**4/16 + o**3/2 + 14. What is y in a(y) = 0?
-2, -1, 0
Let f be (-144)/96*(-16)/6. Suppose 0 + 0*n + 15/4*n**f - 3/2*n**2 - 9/4*n**3 = 0. What is n?
-2/5, 0, 1
Factor 0*a - 1/2 + 1/2*a**2.
(a - 1)*(a + 1)/2
Suppose -4*n = 2*j - 30, 15 = 4*n + 2*j + 3*j. Suppose -4*m = n - 26. Factor 3*v + 0*v**2 - 3*v**3 - 4*v**m + 7*v**4 - 3*v**2.
3*v*(v - 1)**2*(v + 1)
Let w(n) be the third derivative of n**7/210 + n**6/30 + n**5/10 + n**4/6 + n**3/6 - 4*n**2. Determine p, given that w(p) = 0.
-1
Let o be (20 - 8)*2/(-6). Let y be ((-46)/12)/1 - o. Factor 1/6*c**2 + y*c + 0.
c*(c + 1)/6
Let f(s) be the third derivative of -5*s**8/1008 + s**7/21 - 7*s**6/36 + 4*s**5/9 - 5*s**4/8 + 5*s**3/9 + 21*s**2. Factor f(b).
-5*(b - 2)*(b - 1)**4/3
Let k(o) be the second derivative of -7*o**6/10 - 39*o**5/20 + 47*o**4/28 + 75*o**3/14 + 27