(b - 3)*(5*b - 1)**2/3
Factor -6*w**3 - 9*w**3 + 14*w**3.
-w**3
Let v be (-28)/(-21)*(-2)/(-8). Let -2/3*j**2 - v*j + 1/3 = 0. Calculate j.
-1, 1/2
Let p = 104/209 - 6/19. Factor -2/11*v**3 + p*v - 2/11*v**2 + 2/11.
-2*(v - 1)*(v + 1)**2/11
Let k(w) be the second derivative of 0 - 4/27*w**3 + 1/3*w**2 - 7*w + 1/54*w**4. Let k(y) = 0. What is y?
1, 3
Factor -1/5*p**3 - 7/5 + 13/5*p - p**2.
-(p - 1)**2*(p + 7)/5
Let c = 180 + -175. Let y(x) be the second derivative of -1/6*x**2 + 0 - 1/6*x**3 - 3*x - 1/12*x**4 - 1/60*x**c. Suppose y(q) = 0. What is q?
-1
Let a be -3 + -1 - ((-19)/5 - 1). Suppose 1/5*h**3 + 0 - a*h**2 + 3/5*h = 0. Calculate h.
0, 1, 3
Let b(n) be the second derivative of n**5/30 + n**4/9 + 7*n. Find d such that b(d) = 0.
-2, 0
Factor 2/11*p**4 + 0 + 6/11*p + 2/11*p**3 - 10/11*p**2.
2*p*(p - 1)**2*(p + 3)/11
Let p(q) be the third derivative of -3*q**2 + 0 + 0*q + 1/30*q**5 - 1/4*q**4 + 2/3*q**3. Solve p(b) = 0 for b.
1, 2
Let f = -12 + 17. Let x be ((-2)/20)/(f/(-60)). What is n in -4/5*n**3 - 2/5 + 6/5*n**4 - 2/5*n**5 - 4/5*n**2 + x*n = 0?
-1, 1
Let q(d) be the first derivative of -4 + 2*d + 1/4*d**4 - 1/2*d**3 - d**2 + 1/10*d**5. Factor q(x).
(x - 1)**2*(x + 2)**2/2
Let c(p) be the second derivative of -1/10*p**5 + 0*p**3 + 0 + 0*p**2 + 5*p + 1/6*p**4. Factor c(j).
-2*j**2*(j - 1)
Let m(p) = p**2 + 18*p - 36. Let h be m(-20). Let v(u) be the first derivative of 1/9*u**2 + 2 - 2/45*u**5 + 0*u - 2/9*u**3 + 1/6*u**h. Factor v(f).
-2*f*(f - 1)**3/9
Suppose -3*v + 8 = -2*z, z - 6 = -3*v - 1. Let h(i) be the first derivative of -1/3*i**6 - 2*i + i**4 - v + 4/3*i**3 - i**2 - 2/5*i**5. Factor h(g).
-2*(g - 1)**2*(g + 1)**3
Factor 0 - 5*g - 1/2*g**2.
-g*(g + 10)/2
Let m = -37 + 40. Let g be m/(-6)*(-72)/16. What is d in -g*d**2 - 5*d - 1 = 0?
-2, -2/9
Let b(k) = k**2 - 10*k + 18. Let c be b(8). Factor -1/3*j**c + 1/3*j + 0.
-j*(j - 1)/3
Let k(n) be the first derivative of -1/12*n**4 + 3 - 2/3*n + 2/9*n**3 + 1/6*n**2. Factor k(h).
-(h - 2)*(h - 1)*(h + 1)/3
Let t = 8 + -6. Suppose -4*q = -4*u - 24, 5*u + 28 = 4*q - 0*q. What is z in 1 + 2*z**q - 3*z**t + 0 = 0?
-1, 1
Let v(r) be the second derivative of r**4/36 - 2*r**3/9 + 2*r**2/3 - 3*r. Factor v(l).
(l - 2)**2/3
Suppose -7/2*i**4 + 0*i - 2*i**2 + 0 + 8*i**3 = 0. Calculate i.
0, 2/7, 2
Factor -5/2*v - 1/2*v**4 + 1/2*v**3 + 3/2*v**2 + 1.
-(v - 1)**3*(v + 2)/2
Let u(r) be the second derivative of 11*r**5/4 - 5*r**4/6 + 7*r. Let u(m) = 0. Calculate m.
0, 2/11
Let f = 13 + -18. Let l be (f - -6) + 3/1. Find t such that 0*t**2 + 0 + 16/3*t**l + 4*t**3 - 2/3*t + 2*t**5 = 0.
-1, 0, 1/3
Let f(a) be the third derivative of -a**6/240 + a**5/60 - a**4/48 - 3*a**2. What is y in f(y) = 0?
0, 1
Let f(a) = -a**2 - 1. Let o(i) be the first derivative of -1/2*i**2 + 5/3*i**3 - 1 + 2*i. Let w(j) = -4*f(j) - o(j). Factor w(l).
-(l - 2)*(l + 1)
Suppose -3 = -t - 1. Find s such that -2*s - 3*s**2 - 2*s**3 - 2*s**t + 4*s**3 - 3*s**2 + 8*s**4 = 0.
-1, -1/4, 0, 1
Let l(s) be the first derivative of -1/3*s**2 + 2/9*s**3 + 0*s - 4. Let l(o) = 0. What is o?
0, 1
Let r(n) be the third derivative of n**6/600 + n**5/100 - 3*n**4/40 + 7*n**3/6 - 5*n**2. Let l(h) be the first derivative of r(h). Determine i so that l(i) = 0.
-3, 1
Let v(a) = a**2 - 8*a + 18. Let o be v(4). Factor 0*j - 2/11 + 2/11*j**o.
2*(j - 1)*(j + 1)/11
Let f(n) be the second derivative of 2*n**6/5 + 7*n**5/5 - 19*n**4/3 + 10*n**3/3 + 8*n**2 - 12*n - 1. Factor f(p).
4*(p - 1)**2*(p + 4)*(3*p + 1)
Let h(s) = 7*s**3 - 15*s**2 + 19*s - 1. Let l(n) = -4*n**3 + 8*n**2 - 10*n. Let b(j) = -3*h(j) - 5*l(j). Let b(f) = 0. What is f?
1, 3
Let v(n) be the third derivative of 3*n**2 - 1/21*n**3 + 0 - 1/42*n**4 - 1/210*n**5 + 0*n. Factor v(c).
-2*(c + 1)**2/7
Let k(u) be the first derivative of -5/14*u**4 - 9 + 2/35*u**5 + 6/7*u**3 - u**2 + 4/7*u. Suppose k(a) = 0. What is a?
1, 2
Solve -18/5*r**2 - 2/5*r + 0 = 0 for r.
-1/9, 0
Let k(p) = p**3 + 4*p**2 + 5*p + 8. Let j be k(-3). Let g(x) be the second derivative of x + 5/24*x**3 - 1/12*x**4 + 0 + 1/80*x**5 - 1/4*x**j. Factor g(w).
(w - 2)*(w - 1)**2/4
Let w(x) be the second derivative of x**7/336 - x**6/80 + x**4/24 + 15*x. Factor w(b).
b**2*(b - 2)**2*(b + 1)/8
Suppose 2*i + 10 = -5*l - 3*i, 0 = -l + 3*i + 18. Suppose 0 = -s + l*s - 4. Factor 0 - 4/9*j**s + 2/9*j**3 + 2/9*j.
2*j*(j - 1)**2/9
Let q(z) be the third derivative of -2*z**7/105 - z**6/15 + z**5/5 + 2*z**4/3 - 8*z**3/3 - 13*z**2. Factor q(j).
-4*(j - 1)**2*(j + 2)**2
Let c(z) be the first derivative of -2/15*z**3 + 1 + 0*z + 0*z**2. Factor c(l).
-2*l**2/5
Let c = -9 + 12. Let y(s) be the first derivative of 1/2*s**2 + 2 + 0*s - 1/6*s**c. Factor y(g).
-g*(g - 2)/2
Let z(i) be the second derivative of i**7/84 - i**6/30 + i**4/12 - i**3/12 - 8*i. Factor z(h).
h*(h - 1)**3*(h + 1)/2
Let n(l) be the second derivative of -7*l**4/96 - 23*l**3/48 - 3*l**2/8 + 40*l. What is x in n(x) = 0?
-3, -2/7
What is m in 0*m + 1/3*m**4 + 0*m**3 + 0 - 1/3*m**2 = 0?
-1, 0, 1
Factor -30/7*g**2 - 4/21 + 82/21*g**3 - 26/21*g**4 + 38/21*g.
-2*(g - 1)**3*(13*g - 2)/21
Let g(h) = -2*h - 95. Let d be g(-49). Factor -4*i**2 + 0 + 13/3*i**d + 1/3*i**5 - 2*i**4 + 4/3*i.
i*(i - 2)**2*(i - 1)**2/3
Let k be (1 - 2 - 2) + 5. Let q be (-9)/(-24) + 5/40. Determine h so that q*h**k + 1/2*h - 1 = 0.
-2, 1
Suppose 15/4*j - 15/4*j**3 + 3/2*j**4 - 3/2 + 0*j**2 = 0. What is j?
-1, 1/2, 1, 2
Factor 7*m**2 - 207*m - 6*m**4 + 40*m**3 - 24*m**2 - 15*m**4 + 205*m.
-m*(m - 1)**2*(21*m + 2)
Let z(y) be the first derivative of -y**5/20 - y**4/16 + y**3/6 + 6. Factor z(q).
-q**2*(q - 1)*(q + 2)/4
Let a(j) = 5*j**4 - 53*j**3 + 242*j**2 - 194*j - 2. Let c(d) = 16*d**4 - 160*d**3 + 727*d**2 - 583*d - 7. Let x(q) = -7*a(q) + 2*c(q). Factor x(m).
-3*m*(m - 8)**2*(m - 1)
Let h(i) be the second derivative of -1/6*i**2 + 0 + 2*i + 1/9*i**3 - 1/36*i**4. Factor h(v).
-(v - 1)**2/3
Let z(s) be the second derivative of -s**7/2940 + s**6/1260 - s**3 + 6*s. Let p(h) be the second derivative of z(h). Factor p(x).
-2*x**2*(x - 1)/7
Let x(s) be the second derivative of s**5/70 + s**4/6 - 56*s. Factor x(p).
2*p**2*(p + 7)/7
Let t(a) be the third derivative of a**8/3360 + a**7/1260 + a**4/12 + 5*a**2. Let s(y) be the second derivative of t(y). Solve s(w) = 0.
-1, 0
Let p be (-21)/54 + 3/(-18). Let f = p + 29/36. Suppose -3/4*u**3 + 3/4*u - 1/4*u**2 + f = 0. What is u?
-1, -1/3, 1
Find w such that 0*w + 1/3*w**2 - 1/3 = 0.
-1, 1
Let k(n) be the second derivative of n**6/75 - n**5/10 + 7*n**4/30 - n**3/5 - 20*n. Solve k(b) = 0 for b.
0, 1, 3
Factor -4/3*i**4 + 0 - 28/3*i**2 - 4*i - 20/3*i**3.
-4*i*(i + 1)**2*(i + 3)/3
Let m = 1405/4 + -351. Find y, given that -1/4 + m*y + 1/4*y**2 - 1/4*y**3 = 0.
-1, 1
Let j(i) be the third derivative of i**7/630 + i**6/360 - i**5/20 - i**4/8 - 3*i**2 - i. Factor j(h).
h*(h - 3)*(h + 1)*(h + 3)/3
Let y(i) be the third derivative of i**5/450 + i**4/45 + 4*i**3/45 - 14*i**2. Determine q, given that y(q) = 0.
-2
Let h(v) be the third derivative of v**7/1260 + 7*v**6/1800 + v**5/150 + 5*v**4/24 + 3*v**2. Let b(f) be the second derivative of h(f). Factor b(w).
2*(w + 1)*(5*w + 2)/5
Let l(p) be the first derivative of 5*p**3/9 + 5*p**2/2 + 10*p/3 + 13. Suppose l(n) = 0. Calculate n.
-2, -1
Let 0*u**3 + 0*u + 0 + 0*u**2 - 3*u**4 - 15/2*u**5 = 0. Calculate u.
-2/5, 0
Let c be 24/(-42) + 107/(-21). Let t = c + 6. Suppose -1/3*z**4 - 1/3 + 1/3*z**5 - 2/3*z**3 + 2/3*z**2 + t*z = 0. What is z?
-1, 1
Let q(j) be the third derivative of -1/60*j**4 - 1/300*j**5 + 0*j + 0 - j**2 + 0*j**3. Factor q(b).
-b*(b + 2)/5
Let t = -16 - 56. Let b be (-2)/7 - t/105. Determine w so that -2/5*w**4 + 4/5*w**2 - b - 2/5*w**5 - 2/5*w + 4/5*w**3 = 0.
-1, 1
Let z(a) be the third derivative of -a**5/140 - a**4/28 + 3*a**3/14 - 54*a**2. Solve z(o) = 0.
-3, 1
Solve 0 - 6*q**2 + q**3 + 0 + 9*q**2 + 2*q = 0 for q.
-2, -1, 0
Let f = 1723638 - 201668228/117. Let w = 200/9 + f. Factor 2/13*h + 0 + 6/13*h**3 - w*h**4 - 6/13*h**2.
-2*h*(h - 1)**3/13
Factor 6*h**2 + 583 - 585 - 4*h**2.
2*(h - 1)*(h + 1)
Let h be (15/(-10))/(3/(-6)). Determine u so that -8/5*u**4 + 14/5*u**h - 4/5*u**2 + 0 - 2/5*u = 0.
-1/4, 0, 1
Let z = -8 - -18. Let k be 12/(-20)*z/(-4). Factor -k*c**2 + 3/2*c**4 + 3/2*c + 0 - 3/2*c**3.
3*c*(c - 1)**2*(c + 1)