v. Factor x(c).
-5*(c + 1)*(c + 2)/6
Let t(j) be the first derivative of -j**5/105 + 2*j**3/21 + 3*j**2 + 10. Let o(i) be the second derivative of t(i). Factor o(b).
-4*(b - 1)*(b + 1)/7
Determine j so that -164*j**3 - 171*j**3 + 338*j**3 - 4*j + 4*j**2 = 0.
-2, 0, 2/3
Let h be ((-16)/(-28))/((-6)/(-21)). Let 3*y**3 + h*y**2 + 0*y**3 - 4*y**2 + 5*y**2 = 0. What is y?
-1, 0
Suppose 0 = -0*s - s. Suppose -3*a - 3 = s, 3*y - 2*a = -3*a + 5. Suppose k**3 - k**y + 2*k**2 - k**4 - 3*k + 2*k = 0. What is k?
-1, 0, 1
Determine w so that 1/3*w**4 + 0 - 1/3*w**2 - 1/3*w**3 + 1/3*w = 0.
-1, 0, 1
Let f be (1 + -6 + 3)*3/(-21). Solve 4/7*u**2 + 2/7*u - 4/7 - f*u**3 = 0 for u.
-1, 1, 2
Solve -2/3*v**3 - 80/3*v + 32 + 22/3*v**2 = 0 for v.
3, 4
Let f(w) be the second derivative of -4*w**6/3 + 73*w**5/10 - 27*w**4/2 + 32*w**3/3 - 4*w**2 - 2*w - 1. Determine q, given that f(q) = 0.
1/4, 2/5, 1, 2
Let m(l) = -l**3 - 2*l**2 - 2*l - 2. Let s be m(-2). Factor 3*c - c**2 + 3*c**3 + 4*c**2 + 7*c**s - 4*c**2.
3*c*(c + 1)**2
Let u(h) be the first derivative of -h**8/2520 + h**7/630 - 2*h**3/3 - 1. Let b(f) be the third derivative of u(f). Factor b(s).
-2*s**3*(s - 2)/3
Let t(w) = 4*w**3 - w**2 - 4*w - 2. Let n(m) = 9*m**3 - 2*m**2 - 9*m - 5. Let x(u) = 6*n(u) - 14*t(u). Determine c so that x(c) = 0.
-1, 1
Factor -5*d**2 - 5*d**2 + 6*d**2.
-4*d**2
Suppose -682*c**2 + 260*c**5 - 264*c**5 - 690*c**2 - 84*c**4 - 588*c**3 = 0. Calculate c.
-7, 0
Let x(n) be the first derivative of 3*n**5/20 - 3*n**4/16 - n**3 + 3*n**2/2 + 22. What is t in x(t) = 0?
-2, 0, 1, 2
Let d = -2739/35 + 397/5. Factor 0*t + 8/7*t**3 + d*t**4 + 2/7*t**5 + 0 + 0*t**2.
2*t**3*(t + 2)**2/7
Let y(u) be the second derivative of u + 0 + 1/2*u**2 - 1/6*u**3 + 1/48*u**4. Factor y(a).
(a - 2)**2/4
Let a = -653/20 + 137/4. Let y(b) be the first derivative of 1 + 4/5*b**2 + 2/15*b**3 + a*b. Factor y(w).
2*(w + 2)**2/5
Let z(x) be the second derivative of x**7/2520 - x**6/360 + x**5/120 + x**4/6 + x. Let u(y) be the third derivative of z(y). Solve u(l) = 0 for l.
1
Let d be 2/320*8*5. What is t in d*t**2 + 0*t + 0 + 1/4*t**3 = 0?
-1, 0
Factor -1/4*a - 1/4*a**2 + 0.
-a*(a + 1)/4
Let f(t) be the second derivative of -t**4/18 + 2*t**3/9 - t**2/3 - 7*t. Factor f(y).
-2*(y - 1)**2/3
Let l(x) be the first derivative of -x**5/140 - x**4/84 + x**3/42 + x**2/14 + 9*x + 4. Let d(t) be the first derivative of l(t). Find a, given that d(a) = 0.
-1, 1
Let v = 2/29 - -23/87. Let b be 50/14 - (-5)/140*-16. What is r in 2/3*r**b - v*r - 1/3*r**2 + 0 = 0?
-1/2, 0, 1
Determine r, given that 6*r**5 + 522*r**3 - 5*r**4 - r**5 - 532*r**3 + 0*r**5 = 0.
-1, 0, 2
Let p(f) be the first derivative of f**4/4 - f**2/2 + 5. Factor p(m).
m*(m - 1)*(m + 1)
Solve 0 + 12/5*x + 3*x**3 + 21/5*x**4 - 48/5*x**2 = 0 for x.
-2, 0, 2/7, 1
Let m = 317/3 - 105. Factor 1/3*i**3 + 0*i**2 + 0*i - m*i**4 + 1/3*i**5 + 0.
i**3*(i - 1)**2/3
Factor 2/7*h - 2/7*h**3 + 0*h**2 + 0.
-2*h*(h - 1)*(h + 1)/7
Suppose 4*z - 2 = 2*s, -3*z + 6 = -2*s + 5*s. Suppose c**4 + c + s + 0*c**4 - 2*c**2 - c = 0. What is c?
-1, 1
Suppose 3*w + 15 + 0 = 3*q, -3*q = -4*w - 16. Let b be ((-2)/4)/(w/4). Find x such that -x**4 - 3*x**b - 4*x + 3*x + 2*x + 3*x**3 = 0.
0, 1
Let b(t) = -t**4 - t**3 + t**2 - t - 1. Let d be 6/(7/((-28)/8)). Let n(k) = -6*k**4 - 4*k**3 + 20*k**2 - 22*k + 3. Let g(o) = d*b(o) + n(o). Factor g(c).
-(c - 1)**2*(c + 3)*(3*c - 2)
Factor -7 - 2*s**4 + s**2 - 2*s**3 + 2*s + 2 + 5*s**2 + 1.
-2*(s - 1)**2*(s + 1)*(s + 2)
Let m(x) be the third derivative of x**5/30 - x**4/10 + x**3/15 + 3*x**2. Factor m(j).
2*(j - 1)*(5*j - 1)/5
Let v(o) be the first derivative of o**3/3 + o**2 + o - 15. Determine k so that v(k) = 0.
-1
Suppose -5*l + 13 = -7. Let i be (-2 + 0)/((-8)/12). Factor -2*d + 3*d**2 - 3*d**2 - 1 + 2*d**i + d**l.
(d - 1)*(d + 1)**3
Let g(h) be the second derivative of 1/15*h**3 + 2/5*h**2 - 1/50*h**5 + 0 - 1/15*h**4 - 6*h. Solve g(t) = 0 for t.
-2, -1, 1
Let m(b) be the second derivative of b**8/13440 - b**7/5040 + b**4/12 + 2*b. Let l(q) be the third derivative of m(q). Factor l(v).
v**2*(v - 1)/2
Let m be 0/((-4)/(-2)) - -3. Suppose -m*q = 5*y - 0 - 11, 5*y - 5 = -5*q. Factor -2/7*s**y - 4/7*s**3 + 0 + 0*s - 2/7*s**2.
-2*s**2*(s + 1)**2/7
Let t be 33/22 - (4 + -1) - -39. Factor 33/2*j + 105/2*j**2 + t*j**3 + 3/2.
3*(j + 1)*(5*j + 1)**2/2
Let l(z) be the third derivative of z**8/168 - 2*z**7/315 - z**6/30 + 2*z**5/45 + z**4/12 - 2*z**3/9 + 4*z**2. What is s in l(s) = 0?
-1, 2/3, 1
Let j(c) = -2*c**2 - 4*c - 2. Let b be j(5). Let z be b/27*6/(-8). Let 0 - 2/9*t - 4/9*t**z - 2/9*t**3 = 0. What is t?
-1, 0
Let j(l) be the second derivative of -l**5/30 + l**4/18 + l**3/9 - l**2/3 + 16*l. Factor j(h).
-2*(h - 1)**2*(h + 1)/3
Let c(m) be the second derivative of -3*m**7/7 - m**6 + 29*m**5/10 + 59*m**4/6 + 28*m**3/3 + 4*m**2 - 11*m. Find p such that c(p) = 0.
-2, -1, -1/3, 2
Let d(u) be the second derivative of -u**4/12 + u**3/6 + 26*u. Solve d(q) = 0.
0, 1
Factor -2/3*w**4 - 8/3*w**3 - 8/3*w - 4*w**2 - 2/3.
-2*(w + 1)**4/3
Determine r so that -2/5*r**2 - 6/5 - 2*r + 2/5*r**3 = 0.
-1, 3
Let z(o) be the second derivative of -o**6/30 - o**5/10 + o**4/12 + o**3/3 - 20*o. Factor z(u).
-u*(u - 1)*(u + 1)*(u + 2)
Let v(d) be the third derivative of 0*d**6 + 0*d**3 + 1/672*d**8 + 1/210*d**7 + 0*d - 2*d**2 + 0 - 1/60*d**5 - 1/48*d**4. Let v(j) = 0. What is j?
-1, 0, 1
Let c = 29/30 - 7/15. Factor 1/2 + 0*a - c*a**2.
-(a - 1)*(a + 1)/2
Let g(o) be the first derivative of -o**4/4 - 2*o**3 - 6*o**2 - 8*o - 36. Factor g(h).
-(h + 2)**3
Let r(o) be the third derivative of o**5/30 + o**4/12 + 25*o**2. Determine l, given that r(l) = 0.
-1, 0
Suppose 0 - 8/3*f - 8/3*f**2 - 2/3*f**3 = 0. Calculate f.
-2, 0
Let v(w) be the first derivative of w**6/30 + w**5/10 + w**4/12 - 3*w - 1. Let c(a) be the first derivative of v(a). Factor c(m).
m**2*(m + 1)**2
Let c(g) = 2*g**3 + 4*g**2 - 6. Let i(h) = 28*h - 28*h + 1 - h**3. Let n(y) = -c(y) - 6*i(y). Factor n(t).
4*t**2*(t - 1)
Let s(d) be the second derivative of -d**7/189 - d**6/135 + d**5/45 - 7*d. Factor s(i).
-2*i**3*(i - 1)*(i + 2)/9
Let q(b) = -6*b**2 + 7*b - 5. Let f = -27 + 41. Let g(v) = -13*v**2 + 14*v - 11. Let k(n) = f*q(n) - 6*g(n). Determine l so that k(l) = 0.
1/3, 2
Let f(y) = y**3 + 3*y - 2. Let h be f(2). Let t = h - 12. What is g in 2/7*g + 4/7*g**2 - 6/7*g**3 + t = 0?
-1/3, 0, 1
Let m(a) = -3*a**3 + 3*a**2 + 3*a - 3. Let s(b) = -6*b**3 + 7*b**2 + 6*b - 7. Let l(o) = 5*m(o) - 3*s(o). Find t, given that l(t) = 0.
-1, 1, 2
Let a be 5/((-40)/(-4))*4. Factor -2*l - 1/2*l**3 + 2*l**a + 0.
-l*(l - 2)**2/2
Let u be (-3)/(-5) - (28/5 + -5). What is i in 1/3*i**2 + 1/3*i**3 - 1/3*i**5 - 1/3*i**4 + u + 0*i = 0?
-1, 0, 1
Let l(j) be the third derivative of 1/60*j**4 + 0*j**7 + 0*j**3 + 0*j + 1/840*j**8 + 0 - 1/150*j**6 + 0*j**5 - 2*j**2. Factor l(r).
2*r*(r - 1)**2*(r + 1)**2/5
Let h(j) be the first derivative of 4*j**3/3 - 4*j - 22. Suppose h(r) = 0. Calculate r.
-1, 1
Let y(a) = a**2 + 42*a + 177. Let c be y(-39). Factor c*m**2 - 60*m + 15/2*m**4 + 24 - 3/4*m**5 - 30*m**3.
-3*(m - 2)**5/4
Let k(o) be the second derivative of -o**6/80 - o**5/10 - o**4/4 + o**2 - 4*o. Let t(j) be the first derivative of k(j). Let t(i) = 0. Calculate i.
-2, 0
Let z = 5374/3 + -1813. Let y = z - -22. Factor -y*a**3 + 1/6*a + 0*a**4 + 1/6*a**5 + 0 + 0*a**2.
a*(a - 1)**2*(a + 1)**2/6
Let z(c) be the second derivative of c**4/60 + 7*c**3/30 + 24*c. Factor z(k).
k*(k + 7)/5
Suppose 2/11*b**2 + 2/11 + 4/11*b = 0. Calculate b.
-1
Let -17*w - w**4 + 0*w**4 + 21*w - 3*w**3 = 0. Calculate w.
-2, 0, 1
Let t be (-18)/(-42) + 544/21. Let b = t - 26. Factor b*z**2 + 0 - 2/3*z.
z*(z - 2)/3
Let s = -2399/24 - -100. Let h(q) be the second derivative of -s*q**4 + 0 - 1/3*q**3 - q**2 - 2*q. Determine w so that h(w) = 0.
-2
Let s(x) be the first derivative of -x**6/24 + x**4/16 - 4. Solve s(z) = 0.
-1, 0, 1
Let p(g) = 7*g**2 - 13*g + 3. Let t(b) = 3*b**2 + 3 - 6*b - 2 + 1. Let k(a) = -2*p(a) + 5*t(a). Factor k(r).
(r - 2)**2
Factor -2/7*n**5 - 26/7*n**3 + 12/7*n**4 + 24/7*n**2 - 8/7*n + 0.
-2*n*(n - 2)**2*(n - 1)**2/7
Determine x, given that 2/5*x**2 + 2/5*x**3 - 2/5 - 2/5*x = 0.
-1, 1
Factor -96*t**4 - 64*t**5 - 36*t**3 + 14 - 4*t**2 - 14.
-4*t**2*(t + 1)*(4*t +