*w**2 + 6*w**4 + w**z + 2*w**5 + 5*w**3 - 2 - 6*w.
2*(w - 1)*(w + 1)**4
Suppose 96/7*u - 320/7 - 4/7*u**2 = 0. What is u?
4, 20
Let d(p) be the second derivative of -2/27*p**3 + 1/9*p**2 + 15*p - 1/18*p**4 + 0. Determine x, given that d(x) = 0.
-1, 1/3
Let t(d) = 3*d**2. Let o be t(1). Suppose -o*p - 3*z - z + 17 = 0, -z = -3*p + 7. Factor p*j**2 - 5 + 6 + 12*j - 4 - j**3 - 11*j**3.
-3*(j - 1)*(j + 1)*(4*j - 1)
Suppose 4*z + 2*f = 30, z + 17*f - 13*f - 32 = 0. Solve 3/5*b**3 + 0 + 1/5*b + 1/5*b**z + 3/5*b**2 = 0.
-1, 0
Suppose 2*y**3 - 8/3*y + 0 - 10/3*y**2 + 2/3*y**5 + 10/3*y**4 = 0. Calculate y.
-4, -1, 0, 1
Let s(v) = -15*v**3 - 20*v**2 + 15*v + 30. Let p be 1/(-8) + (-75)/(-24). Let q(i) = -5*i**3 - 7*i**2 + 5*i + 10. Let o(d) = p*s(d) - 10*q(d). Factor o(y).
5*(y - 1)*(y + 1)*(y + 2)
Suppose 4*b + 21 = -4*h + 13, 12 = -2*h - 4*b. Let o(d) be the first derivative of 0*d + 2*d**h + 2 - 4/3*d**3. Find l such that o(l) = 0.
0, 1
Factor 0*l**2 + 0 + l**3 + 0*l + 1/4*l**5 + l**4.
l**3*(l + 2)**2/4
Suppose -3*z - 2*j - 25 = -21, j + 2 = -3*z. Let t be z/(-5 - (-5 + 1)). Factor t + 0*d + 0*d**3 + 0*d**2 + 0*d**4 + 2/9*d**5.
2*d**5/9
Let g(z) be the first derivative of 3/8*z**4 + 9*z - 8/3*z**3 + 15/4*z**2 - 4. Solve g(k) = 0 for k.
-2/3, 3
What is t in -8/13*t - 6/13 - 2/13*t**2 = 0?
-3, -1
Let q(w) be the second derivative of 3*w**5/40 - 3*w**3/4 - 3*w**2/2 - 14*w + 9. Factor q(o).
3*(o - 2)*(o + 1)**2/2
Let x(l) be the first derivative of -32*l**5/25 - 6*l**4 - 193*l**3/30 + 3*l**2 - 2*l/5 - 100. What is w in x(w) = 0?
-2, 1/8
Let w(i) be the third derivative of -3*i**8/280 + 6*i**7/175 + 7*i**6/75 - i**5/75 - i**4/20 + 78*i**2. Suppose w(q) = 0. Calculate q.
-1, -1/3, 0, 1/3, 3
Suppose 2*n + 549 = -t, 509 = -5*n + 3*t - 869. Let w = 279 + n. Determine y so that 98/13*y**w + 8/13 - 6/13*y**2 - 40/13*y + 140/13*y**3 = 0.
-1, 2/7
Let z(g) be the first derivative of -123*g**4/4 - 83*g**3 - 3*g**2 - 354. Factor z(b).
-3*b*(b + 2)*(41*b + 1)
Let f(l) be the second derivative of -3/28*l**5 + 2/7*l**4 - 9*l - 2/7*l**3 + 0 + 1/70*l**6 + 0*l**2. Factor f(h).
3*h*(h - 2)**2*(h - 1)/7
Factor -2/5*c**3 - 8/5*c**2 + 2/5*c**4 + 8/5*c + 0.
2*c*(c - 2)*(c - 1)*(c + 2)/5
Let j(v) be the second derivative of v**4/36 + 7*v**3/9 + 49*v**2/6 - v - 7. Suppose j(y) = 0. Calculate y.
-7
Let s(k) be the second derivative of k**7/168 - 197*k**6/120 + 6533*k**5/40 - 150085*k**4/24 + 561925*k**3/24 - 274625*k**2/8 + 678*k. Solve s(t) = 0.
1, 65
Let y(l) be the first derivative of l**6/540 - 4*l**5/135 + 5*l**4/108 + 14*l**3/3 + 30. Let u(r) be the third derivative of y(r). Find b, given that u(b) = 0.
1/3, 5
Let z be 1 - 0 - (1 - 5). Suppose -27*w**z + 8*w + 48*w**5 + 12*w**3 + 4*w**4 - 20*w**2 - 25*w**5 = 0. Calculate w.
-2, 0, 1
Let a = 22 + -10. Suppose -a = -3*l - 0. Factor -2*i + 10*i**3 - 2*i**3 + 2*i + 2*i**5 + 8*i**l.
2*i**3*(i + 2)**2
Factor -36*g**5 - 108*g**3 + 5*g**5 - 35*g - 92*g**4 - 52*g**2 + 27*g + 3*g**5.
-4*g*(g + 1)**3*(7*g + 2)
Let y(g) be the third derivative of g**6/40 - g**5/20 - g**4 + 6*g**3 - 5*g**2 + 5*g. Let y(c) = 0. Calculate c.
-3, 2
Factor -6*a - 359 - 4*a**3 + 18*a + 367.
-4*(a - 2)*(a + 1)**2
Let b(i) be the first derivative of 4*i**6/3 - 12*i**5/5 - 17*i**4 - 52*i**3/3 + 6*i**2 + 16*i - 151. Factor b(h).
4*(h - 4)*(h + 1)**3*(2*h - 1)
Let c(g) be the first derivative of 2*g**6/3 + 8*g**5/5 - g**4 - 8*g**3/3 + 80. Factor c(w).
4*w**2*(w - 1)*(w + 1)*(w + 2)
Let z(b) be the second derivative of 1/6*b**5 + b - 2/15*b**6 + 1/3*b**3 + 0 + 1/3*b**4 + 0*b**2. Let w(m) be the second derivative of z(m). Factor w(v).
-4*(3*v - 2)*(4*v + 1)
Let c(j) = -2*j**2 + 49*j + 12. Let i be c(23). Let s(d) be the first derivative of -i*d - 9*d**3 - 5 - 81/2*d**2 - 3/4*d**4. Factor s(o).
-3*(o + 3)**3
Solve 63/2*x**2 + 8*x**3 - 32 - 8*x + 1/2*x**4 = 0 for x.
-8, -1, 1
Let u(i) be the third derivative of -i**7/210 - i**6/30 - i**5/60 + i**4/4 - 7*i**2 + 2*i. Factor u(m).
-m*(m - 1)*(m + 2)*(m + 3)
Let k(c) be the first derivative of -c**4/26 + 34*c**3/13 - 48*c**2 - 104*c - 489. Factor k(z).
-2*(z - 26)**2*(z + 1)/13
Suppose -12 = -0*o - 4*o + f, 12 = o + 2*f. Suppose -3*d = 2*s - 5*s + 18, o*s - 15 = -5*d. Factor -7*n**4 + 2*n**s + 12*n**4 - 7*n**4.
2*n**4*(n - 1)
Let w be (-3)/(5/(110/(-429))). Find f, given that w*f**2 - 6/13*f**3 + 0*f + 0 - 8/13*f**4 = 0.
-1, 0, 1/4
Let x be (51/57 - 1) + (-413)/(-2660). Let t(j) be the second derivative of -1/3*j**3 - 3*j + 0*j**2 + 0 + 1/12*j**4 + x*j**5. Determine f so that t(f) = 0.
-2, 0, 1
Let o = 39513/79034 - -2/39517. Find g, given that o*g**2 - 2/3 + 0*g - 1/6*g**3 = 0.
-1, 2
Let i(u) be the first derivative of -u**3/15 + 11*u**2/10 - 2*u - 90. Factor i(c).
-(c - 10)*(c - 1)/5
Let t = -16 - -12. Let j = t - -8. Factor 3*z**2 - 5*z + 6 - 2*z + 2*z - j*z.
3*(z - 2)*(z - 1)
Let o(v) be the second derivative of -v**8/8960 + v**6/960 - 5*v**4/4 + 23*v. Let w(n) be the third derivative of o(n). Factor w(p).
-3*p*(p - 1)*(p + 1)/4
Let a(d) be the first derivative of d**5/20 + 17*d**4/8 - 35*d**3/12 - 590. Factor a(m).
m**2*(m - 1)*(m + 35)/4
Suppose 0 = 10*w - 93 - 317. Let g = -39 + w. Let 0 + 1/2*j**5 + 0*j**g - j**3 + 0*j**4 + 1/2*j = 0. Calculate j.
-1, 0, 1
Let m(p) be the first derivative of p**7/1575 - p**6/450 + p**4/90 - p**3/45 + 3*p**2 + 12. Let w(n) be the second derivative of m(n). Factor w(d).
2*(d - 1)**3*(d + 1)/15
Let t be (-24)/(-18)*9/24*4/1. Find j, given that -15*j**t - 80/3 + 40*j + 5/3*j**3 = 0.
1, 4
Factor 0*r**2 + 32/5 - 2/5*r**3 + 24/5*r.
-2*(r - 4)*(r + 2)**2/5
Let h(y) be the first derivative of 27 + 5/4*y**4 + 0*y**2 + 0*y + y**5 - 10/3*y**3. Let h(o) = 0. Calculate o.
-2, 0, 1
Let r(z) be the third derivative of -z**7/1260 + z**6/180 - z**5/120 + 16*z**2. Find w such that r(w) = 0.
0, 1, 3
Find n, given that 33/8*n - 3/8*n**2 + 0 = 0.
0, 11
Suppose 0*r**2 - 8/7*r**4 + 0 + 0*r + 1/7*r**5 + 16/7*r**3 = 0. Calculate r.
0, 4
Let w(k) be the second derivative of k**6/30 + k**5/5 - k**4/6 - 2*k**3 + 9*k**2/2 + 111*k + 1. Factor w(o).
(o - 1)**2*(o + 3)**2
Let v be (70/(-18) + -1)*132/(-264). What is h in -v*h**2 + 4/9*h**3 + 14/9*h**4 + 4/9*h**5 + 8/9 - 8/9*h = 0?
-2, -1, 1/2, 1
Factor 2*c**5 - 2*c**3 + 15/2*c**4 + 0 + 0*c + 0*c**2.
c**3*(c + 4)*(4*c - 1)/2
Let y be (3/10)/(60/24). Let d = y - -2/25. Factor -1/5*i**3 + 0*i**2 + d*i + 0.
-i*(i - 1)*(i + 1)/5
Let c(v) be the first derivative of 10 + 3*v**2 - 1/2*v**4 - 4*v - 1/2*v**3 + 3/20*v**5. Let q(l) be the first derivative of c(l). Solve q(u) = 0.
-1, 1, 2
Let v(n) = -n**3 - n**2 + n + 6. Let h be v(0). Solve -3 + 26*r**3 + 7 + 35*r**2 - 9 - h*r**3 + 10*r = 0.
-1, 1/4
Let r be -2*1/2 + 3. Let z be (3*-1)/(-11 - -9). Factor -3/4*a**r - 3/4 - z*a.
-3*(a + 1)**2/4
Suppose 87*c = 73*c + 98. Let j(l) be the second derivative of 0 - 3/10*l**5 - 13/42*l**4 - 3/35*l**6 + 1/21*l**3 - c*l + 2/7*l**2. Let j(b) = 0. Calculate b.
-1, -2/3, 1/3
Let z = 42 - 30. Suppose -7*a - z = -10*a. Factor -a*r + 6 + 2/3*r**2.
2*(r - 3)**2/3
Let z(k) be the second derivative of 0*k**2 + 27/20*k**5 - 1/5*k**6 - 28*k - 3/14*k**7 + 0 + 0*k**4 - 2*k**3. Determine u, given that z(u) = 0.
-2, -2/3, 0, 1
Let y(g) = -g + 1. Let c(t) = 2*t**2 - 270*t + 9516. Let x(j) = -2*c(j) - 12*y(j). Factor x(p).
-4*(p - 69)**2
Suppose -22*o - 129 = -65*o. Factor 3/2 - 3/2*m**2 - 1/2*m**o + 1/2*m.
-(m - 1)*(m + 1)*(m + 3)/2
Let j(d) be the third derivative of -d**8/168 - 31*d**7/105 - 99*d**6/20 - 121*d**5/6 + 1331*d**4/6 + 6*d**2. Factor j(p).
-2*p*(p - 2)*(p + 11)**3
Factor 4/5*o**2 + 136/5*o - 28.
4*(o - 1)*(o + 35)/5
Suppose -2*z = -2*l - 3 - 1, -2*l + 5 = z. Suppose 3*r + 2 = z*v + 11, 5*r - 3*v - 13 = 0. Suppose -4*h**2 - 2*h**2 + 3*h**r - 48 - 24*h = 0. Calculate h.
-4
Let m(j) be the second derivative of j**8/420 - j**7/60 + j**6/60 + 2*j**5/15 - j**4/3 + 5*j**3/3 + 8*j. Let v(y) be the second derivative of m(y). Factor v(i).
2*(i - 2)**2*(i + 1)*(2*i - 1)
Let g(i) be the second derivative of -5/6*i**3 + 0 - 5/6*i**4 + 5/2*i**2 + 10*i. Solve g(a) = 0 for a.
-1, 1/2
Suppose 43 - 223 = 10*q. Let t = -14 - q. Find i, given that 0*i + 0*i**2 - 1/4*i**t - 21/4*i**5 + 0 + 1/2*i**3 = 0.
-1/3, 0, 2/7
Let i(o) be the second derivative of 40/7*o**7 + 4*o**2 + 0 - 46/3*o**3 + 22*o**4 - 3