/525*q**7 + 0*q**3 - 1/168*q**8. Solve z(s) = 0.
-1, -2/5, 0, 1
Let d = 11 + -7. Factor -9*a**3 + 1 + a**3 - 1 + d*a**2.
-4*a**2*(2*a - 1)
Let r(h) = 6*h**5 - h**4 - 31*h**3 + 13*h. Let v = -18 + 24. Let a(o) = -3*o**5 + 15*o**3 - 6*o. Let k(b) = v*r(b) + 13*a(b). Find i, given that k(i) = 0.
-3, 0, 1
Let y(j) be the third derivative of 0*j + 0 - 3/10*j**3 + 1/10*j**4 - 1/100*j**5 + 8*j**2. Factor y(i).
-3*(i - 3)*(i - 1)/5
Let m = 3866 + -3864. Find i, given that 1/2*i**3 - i**m - 4 + 1/6*i**4 - 14/3*i = 0.
-2, 3
Let a(b) = 63*b - 123. Let q be a(2). Let k(w) be the first derivative of -1/6*w**2 - 1/12*w**4 + 0*w - 6 - 2/9*w**q. Find i, given that k(i) = 0.
-1, 0
Let u(p) = -9*p - 63. Let m(o) = -o**2 + 13*o + 41. Let c be m(16). Let x be u(c). Solve -1/5*k**3 + 0*k + x + 1/5*k**2 = 0 for k.
0, 1
Let a(b) be the second derivative of b**7/5880 + b**6/240 + 3*b**5/140 - 5*b**4/4 - 7*b. Let h(d) be the third derivative of a(d). Factor h(k).
3*(k + 1)*(k + 6)/7
Let c(s) be the third derivative of -s**11/66528 + s**9/12096 - s**5/12 + 19*s**2. Let x(f) be the third derivative of c(f). Factor x(v).
-5*v**3*(v - 1)*(v + 1)
Let j(c) be the first derivative of -c**6/14 - 3*c**5/7 + 3*c**4/4 + 5*c**3/7 - 9*c**2/7 - 93. Determine w, given that j(w) = 0.
-6, -1, 0, 1
Let a(x) be the second derivative of x**7/840 - x**5/40 - x**4/4 + 4*x. Let v(r) be the third derivative of a(r). Suppose v(f) = 0. What is f?
-1, 1
Let v(f) be the first derivative of 9/4*f**3 + 0*f + 3/4*f**4 - 20 + 3/4*f**2. Factor v(s).
3*s*(s + 2)*(4*s + 1)/4
Let s(k) be the second derivative of 0 + 0*k**2 + 1/240*k**5 + 1/720*k**6 + 0*k**4 - k**3 - 6*k. Let f(y) be the second derivative of s(y). Factor f(c).
c*(c + 1)/2
Factor -19*x**3 + 3*x**4 + 2*x**4 - 20*x**2 - 4*x**4.
x**2*(x - 20)*(x + 1)
Let q be 1 + 3*(-17)/(-3). Suppose q*m - 15*m = 0. Factor -2/13*b + m - 2/13*b**4 - 6/13*b**2 - 6/13*b**3.
-2*b*(b + 1)**3/13
Suppose -4*o + 630 = 17*o. Let b = o - 27. Factor 0 - 1/2*f + 1/4*f**b + 1/4*f**2.
f*(f - 1)*(f + 2)/4
Let a be -8 + (56/(-1))/(-7). Let h(r) be the second derivative of -1/126*r**7 + 0 - 6*r + 0*r**2 + a*r**6 + 0*r**4 + 0*r**3 + 1/60*r**5. Factor h(v).
-v**3*(v - 1)*(v + 1)/3
Let h(c) be the third derivative of -1/12*c**5 + 0*c + 0*c**3 + 0 + 14*c**2 - 5/24*c**4. Factor h(v).
-5*v*(v + 1)
Let x(h) be the second derivative of -h**7/14 - h**6/5 - 3*h**5/20 + 147*h. Factor x(v).
-3*v**3*(v + 1)**2
Let y(x) be the first derivative of -x**5/15 - x**4/9 + 4*x**3/9 + 13*x - 15. Let v(w) be the first derivative of y(w). Solve v(u) = 0 for u.
-2, 0, 1
Let x be (-4)/(-15) + 732/(-720) + 9. Find l, given that -x*l**2 - 27/4*l**3 + 3/4*l**5 + 0 - 3*l - 3/4*l**4 = 0.
-1, 0, 4
Factor 16*d + 2/5*d**3 - 22/5*d**2 - 96/5.
2*(d - 4)**2*(d - 3)/5
Let b = -148 + 2075/14. Let n(o) be the second derivative of 0 + 1/84*o**4 + b*o**2 + 3*o - 2/21*o**3. Let n(i) = 0. Calculate i.
1, 3
Factor -26*o**2 + 6*o - 8*o - 7*o**3 - 16*o + 8*o - 10*o + 8.
-(o + 2)**2*(7*o - 2)
Let z(s) be the first derivative of 5 + 1/28*s**4 + 1/14*s**2 + 0*s + 2/21*s**3. Factor z(g).
g*(g + 1)**2/7
Determine b so that -8/13*b**4 - 8/13*b + 8/13*b**2 + 2/13*b**5 + 6/13*b**3 + 0 = 0.
-1, 0, 1, 2
Let v be (-24)/924*7*(20/(-12) - 2). Factor -8/3*t - 8/3*t**3 + 4*t**2 + v*t**4 + 2/3.
2*(t - 1)**4/3
Let z(l) = -3*l**5 - 7*l**4 + 31*l**3 - 19*l**2 + 8*l - 5. Let h(t) = t**5 + 4*t**4 - 15*t**3 + 10*t**2 - 4*t + 2. Let p(d) = -5*h(d) - 2*z(d). Factor p(a).
a*(a - 2)**2*(a - 1)**2
Factor -6 + 21/4*u**3 - 45/2*u**2 + 27*u.
3*(u - 2)**2*(7*u - 2)/4
Let j(z) be the second derivative of -z**8/1680 + z**7/315 + z**6/180 - z**5/15 + 5*z**4/3 + 9*z. Let d(y) be the third derivative of j(y). Factor d(q).
-4*(q - 2)*(q - 1)*(q + 1)
Factor -75/2*w + 1875/4 + 3/4*w**2.
3*(w - 25)**2/4
Suppose -7 = -5*x + 2*x - 2*l, 35 = 3*x - 5*l. Let p(a) = -a**2 + 10*a - 25. Let k be p(x). What is u in -4/7*u**2 + 2/7*u + k = 0?
0, 1/2
Let g(n) be the third derivative of n**5/20 - 51*n**4/4 + 2601*n**3/2 - 5*n**2 + 8. Determine x, given that g(x) = 0.
51
Suppose -15/4*t - 7/2 - 1/4*t**2 = 0. What is t?
-14, -1
Let v(m) be the first derivative of m**5/80 + m**4/8 + m**3/2 + 2*m**2 + 21. Let k(s) be the second derivative of v(s). Factor k(y).
3*(y + 2)**2/4
Suppose -205 = -2*x - 3*x. Factor 12*b + x*b**2 - 17*b**2 - 20*b**2.
4*b*(b + 3)
Suppose 0*z - z = 0. Let i be (-2 + z)*15/(-10). Suppose 2*w**4 + 0*w + 6*w**i + 0*w**4 - 6*w + 4 - 4*w**4 - 2*w**2 = 0. Calculate w.
-1, 1, 2
Let -52/3*n**2 + 0 - 2/3*n**3 - 338/3*n = 0. Calculate n.
-13, 0
Let h(c) = -c**2 + 5*c - 2. Let k be h(4). Let s be 1/k*-14*1/(-5). Factor s*t**2 - 2/5*t**3 + 2/5*t + 0 - 7/5*t**4.
-t*(t - 1)*(t + 1)*(7*t + 2)/5
Let c(b) = -15*b**2 - 63*b + 33. Let f(q) = -45*q**2 - 191*q + 98. Let x(j) = 8*c(j) - 3*f(j). Factor x(g).
3*(g + 5)*(5*g - 2)
Let s(w) be the third derivative of 1/70*w**7 + 0 + 1/12*w**4 - 1/120*w**6 - 1/20*w**5 - 1/336*w**8 - 8*w**2 + 0*w**3 + 0*w. Let s(t) = 0. What is t?
-1, 0, 1, 2
Let z(u) = 25*u - 1125. Let k be z(45). Factor 1/3*r + k + 1/3*r**2.
r*(r + 1)/3
Let i(d) be the third derivative of -d**8/672 + d**7/140 + d**6/15 + d**5/10 - d**2 - 24. Let i(h) = 0. What is h?
-2, -1, 0, 6
Let b = 1686/13 - 9444/65. Let x = -76/5 - b. Suppose x*v + 0 + v**2 = 0. What is v?
-2/5, 0
Let q(r) be the first derivative of r**8/2016 + r**7/1260 - r**6/240 - r**5/72 - r**4/72 + 9*r**2 - 11. Let m(t) be the second derivative of q(t). Factor m(g).
g*(g - 2)*(g + 1)**3/6
Suppose 2013 + 561 = 286*n. Factor -9/2*t**3 - 51/2*t + 45/2*t**2 + n - 3/2*t**4.
-3*(t - 1)**3*(t + 6)/2
Factor 71*g**3 - 72*g**3 + 42 - 14 - 32*g + 11*g**2.
-(g - 7)*(g - 2)**2
Factor -18*z - 15*z**2 + 48 - 9 + 13*z**2 + 17 + 12*z.
-2*(z - 4)*(z + 7)
Let o(c) be the second derivative of c**5/100 - c**4/5 - 3*c**2/2 - 11*c. Let n(p) be the first derivative of o(p). Factor n(v).
3*v*(v - 8)/5
Let f = -223 - -227. Let h(c) be the second derivative of 4*c**3 + 5*c - 6*c**2 + 0 - 3/4*c**5 + 7/4*c**f. Factor h(z).
-3*(z - 2)*(z + 1)*(5*z - 2)
Let p = -74 + 78. Factor -11*d**3 + 29*d**3 - 12*d**2 + 12*d**p - 8*d - 14*d**3 + 4*d**5.
4*d*(d - 1)*(d + 1)**2*(d + 2)
Suppose 48*s = 53*s. Let p(n) be the second derivative of s*n**2 - 4*n + 1/3*n**3 + 0 - 1/10*n**5 + 0*n**4. Factor p(i).
-2*i*(i - 1)*(i + 1)
Suppose 0 = 4*s + 20, -2*n - 3*n = 4*s - 35. Let w = n - 8. Factor 3*d**4 + 0*d**4 + 3*d**2 + 4*d**w + 2*d**3.
3*d**2*(d + 1)**2
Suppose -2*h + 12 = 479*w - 476*w, 2*w - 19 = -5*h. Let q(a) be the first derivative of 0*a**2 + 0*a + 10 - 4/27*a**h. Determine i so that q(i) = 0.
0
Let i(v) be the first derivative of -4*v**5/5 - 29*v**4 - 164*v**3 - 126*v**2 + 864*v - 276. Factor i(d).
-4*(d - 1)*(d + 3)**2*(d + 24)
Let r(m) be the second derivative of -m**5/150 + m**4/15 - 27*m**2/2 - 21*m. Let x(h) be the first derivative of r(h). Find p such that x(p) = 0.
0, 4
Let u(j) be the first derivative of 17 + 7/19*j**2 + 1/38*j**4 - 6/19*j - 10/57*j**3. Determine v so that u(v) = 0.
1, 3
Suppose -s + 0*x = -3*x - 2, 0 = s + 5*x - 2. Suppose -366*d + 10 + 188*d + 186*d - 2*d**s = 0. Calculate d.
-1, 5
Let r(v) be the third derivative of 0*v - 11/100*v**6 + 4/15*v**5 + 2/105*v**7 - 1/840*v**8 + 8*v**2 - 4/15*v**4 + 0*v**3 + 4. Factor r(s).
-2*s*(s - 4)**2*(s - 1)**2/5
Let k(h) be the first derivative of h**4/24 - 7*h**3/18 - h**2/12 + 7*h/6 + 60. Determine i, given that k(i) = 0.
-1, 1, 7
Let m(x) be the first derivative of x**5/35 - x**4/7 + x**3/21 + 3*x**2/7 - 210. Factor m(j).
j*(j - 3)*(j - 2)*(j + 1)/7
Let z(w) be the first derivative of 0*w + 9 + 5/3*w**3 - 1/54*w**4 + 0*w**2 - 1/1620*w**6 + 1/180*w**5. Let c(y) be the third derivative of z(y). Factor c(q).
-2*(q - 2)*(q - 1)/9
Let p = 415/79 - 119/158. Factor -2 + p*a**2 - 6*a + 7/2*a**3.
(a - 1)*(a + 2)*(7*a + 2)/2
Let s(i) be the second derivative of -5*i**4/12 - 10*i**3/3 - 6*i - 21. Factor s(a).
-5*a*(a + 4)
Let y(i) be the third derivative of -i**6/900 - i**5/450 + 18*i**2. Let y(c) = 0. Calculate c.
-1, 0
Determine u so that -123*u - 387 - 3*u**2 + 318 + 8*u - 381 - 2*u**2 = 0.
-18, -5
Let b(l) = -l**2 - 10*l + 27. Let s be b(-12). Factor -6*y + 8*y - s*y**2 - y**2 + 2*y**3.
2*y*(y - 1)**2
What is j in 1/3*j**3 + 4*j - 8/3 - 2*j**2 = 0?
2
Let w(o) = 15*o**3 - 35*o*