j**5/20 - j**4/5 + 2*j**3/5 + j**2. Factor f(s).
-3*(s - 2)**2*(s - 1)/5
Suppose 12*m - 23*m**2 + 4*m**3 + 17*m**2 - 10*m**2 = 0. What is m?
0, 1, 3
Let y(p) be the third derivative of p**8/840 + p**7/70 + p**6/15 + 2*p**5/15 + 2*p**3/3 + 2*p**2. Let z(r) be the first derivative of y(r). Solve z(q) = 0.
-2, 0
Let t(w) be the first derivative of w**4/4 + 8*w**3 + 96*w**2 + 512*w - 53. Find l, given that t(l) = 0.
-8
Let q(n) be the second derivative of n**8/18480 + n**7/2772 + n**6/3960 - n**5/330 - n**4/4 - 6*n. Let o(b) be the third derivative of q(b). Factor o(u).
2*(u + 1)*(u + 2)*(2*u - 1)/11
Let f be (-7)/(-14)*(-4)/(-1). Let 2/7*i**3 - 8/7*i**4 + 0 + 8/7*i**f - 2/7*i = 0. Calculate i.
-1, 0, 1/4, 1
Factor -24/5*g + 2/5*g**2 + 72/5.
2*(g - 6)**2/5
Suppose 25 - 13 = 4*j. Suppose 0 + 6/7*o**j + 8/7*o**4 + 0*o - 2/7*o**2 = 0. Calculate o.
-1, 0, 1/4
Let u(k) = -4*k**4 - 3*k**3 + 8*k**2 + 10*k - 7. Suppose 7 = -2*i - 3. Let z(g) = -4*g**4 - 2*g**3 + 9*g**2 + 11*g - 8. Let a(w) = i*z(w) + 6*u(w). Factor a(j).
-(j + 1)*(j + 2)*(2*j - 1)**2
Suppose 2 = -s - 2*i + 4, 4 = 2*s + 5*i. What is a in 6*a**3 - 4*a**s + 4*a**5 + 6*a**2 + 6*a**4 - 2*a**5 = 0?
-1, 0
Let l(i) be the second derivative of i**7/378 + i**6/90 + i**5/180 - i**4/36 - i**3/27 + 3*i - 2. Factor l(j).
j*(j - 1)*(j + 1)**2*(j + 2)/9
Let g(v) = -v**2 - 2*v - 1. Let p be g(-2). Let t be p/(40/(-13) - -3). Find f such that f + 14*f**2 + 0*f - t*f**2 = 0.
-1, 0
Let t = -1 - -4. Let m(l) be the third derivative of -3*l**2 + 0 - 1/12*l**4 + 0*l**t + 0*l + 1/30*l**5. Factor m(c).
2*c*(c - 1)
Let k(d) be the second derivative of -d**7/77 + d**6/11 - 21*d**5/110 + 3*d**4/22 - 4*d. Factor k(w).
-6*w**2*(w - 3)*(w - 1)**2/11
Let p(n) be the first derivative of -n**6/900 - n**5/150 + n**3 - 1. Let k(h) be the third derivative of p(h). Factor k(w).
-2*w*(w + 2)/5
Let d = 73 + -19. Factor 18 + 2 - d*y - 2*y**3 + 32 + 2 + 18*y**2.
-2*(y - 3)**3
Factor 0*j**2 - 3*j**2 + 12*j - j**2.
-4*j*(j - 3)
Suppose n + 4*h = 0, 4 = -n - 5*h + 3. Find c such that -1/2*c**n - 2 - 13/2*c**2 - 3*c**3 - 6*c = 0.
-2, -1
Let q be 20/70*(-7)/(-4). What is j in q*j**2 - j + 1/2 = 0?
1
Let d = 612 + -612. Solve 2/11*c**4 + d*c + 0 - 2/11*c**2 + 0*c**3 = 0.
-1, 0, 1
Let t(u) be the second derivative of -1/2*u**4 + 0 + 1/5*u**6 + 1/2*u**3 + 0*u**5 - 1/14*u**7 - 2*u + 0*u**2. Let t(q) = 0. What is q?
-1, 0, 1
Let n be (-432)/(-44) - (-2)/11. Let d be (-2)/(-12)*(n + -6). Let -8/3*x + 0 - d*x**3 - 8/3*x**2 = 0. Calculate x.
-2, 0
Let r(x) be the third derivative of -x**6/180 - x**5/45 - x**4/36 - 2*x**2. Factor r(v).
-2*v*(v + 1)**2/3
Let v be (62/16 - 4)*-6. Factor -v*h**3 + 0 - 9/4*h**2 - 3/2*h.
-3*h*(h + 1)*(h + 2)/4
Let j = -39 + 79/2. Factor 0 - 3/2*w**3 - j*w + 3/2*w**2 + 1/2*w**4.
w*(w - 1)**3/2
Let m be 49/1288 - (-5)/(230/4). Find j such that 0*j**2 + m*j**3 - 1/8*j + 0 = 0.
-1, 0, 1
Suppose 2*h - h + 9 = 3*c, -3*c - 5*h + 9 = 0. Let i be c/(15/(0 + 3)). Solve -3/5*s + 6/5*s**3 + 0*s**2 + 0 + 0*s**4 - i*s**5 = 0 for s.
-1, 0, 1
Let o(d) = -d**3 + 3*d**2 - 6. Let l(t) = -3*t**2 + 5. Let u(s) = 6*l(s) + 5*o(s). Suppose u(p) = 0. Calculate p.
-3/5, 0
Let n = 1202 - 1202. Let 2/11*i**5 + 2/11*i**3 + n + 0*i + 0*i**2 - 4/11*i**4 = 0. Calculate i.
0, 1
Let c be (-3032)/36*8/28. Let r = -196/9 - c. Let -r*l + 8/7 + 10/7*l**2 - 2/7*l**3 = 0. What is l?
1, 2
Let y(a) be the third derivative of a**7/3780 + a**6/1620 + a**3/6 + a**2. Let g(v) be the first derivative of y(v). Let g(j) = 0. Calculate j.
-1, 0
Let 0*i - 2/7*i**4 + 0 + 0*i**3 + 2/7*i**2 = 0. Calculate i.
-1, 0, 1
Let j(l) = 2*l + 3. Let f be j(1). Solve -3/5 - 9/5*i + 3/5*i**f + 6/5*i**3 - 6/5*i**2 + 9/5*i**4 = 0 for i.
-1, 1
Let p be (-4)/6 - 262/12. Let v = p - -23. Factor q - v*q**2 - 1/2.
-(q - 1)**2/2
Let b(k) be the first derivative of 0*k**3 + 1/3*k**2 - 1/6*k**4 + 0*k - 3. Factor b(q).
-2*q*(q - 1)*(q + 1)/3
Let s(r) be the third derivative of 2*r**7/35 + 3*r**6/40 - r**5/20 + 9*r**2. Factor s(o).
3*o**2*(o + 1)*(4*o - 1)
Find k, given that -24*k**3 - 3 + 4 + 7 - 52*k + 80*k**2 - 12*k**3 = 0.
2/9, 1
Determine c so that 1/4*c**2 + 1/2*c + 1/4 = 0.
-1
Solve 4 - 18 + 6 + x**2 + 0*x + 2*x = 0.
-4, 2
Let n(a) = 4*a - 8*a - 3*a**3 - 3*a**2 + 3*a**3 + a**3. Let b(x) = 2*x**3 - 5*x**2 - 7*x. Let h(r) = -4*b(r) + 7*n(r). Let h(q) = 0. What is q?
-1, 0
Let r(l) be the first derivative of -l**6/24 - 3*l**5/20 - 3*l**4/16 - l**3/12 + 11. Factor r(n).
-n**2*(n + 1)**3/4
Suppose 0 = -4*j + 3*q + 23, j = -4*q - 0*q - 18. Factor i**j - 5*i**2 + 0*i + 4*i - 53*i**3 - 45*i**4.
-i*(i + 1)*(5*i + 2)*(9*i - 2)
Let w(k) be the first derivative of -6/5*k**3 + 11/5*k**2 - 4 - 4/5*k. Factor w(r).
-2*(r - 1)*(9*r - 2)/5
Let c(o) be the third derivative of -o**8/840 + o**7/105 - o**6/75 - 8*o**5/75 + 8*o**4/15 - 16*o**3/15 + 15*o**2. Find a such that c(a) = 0.
-2, 1, 2
Solve 0*q + 10*q**2 + 2*q - 2*q**3 + 4 - 16*q**2 + 2*q**4 = 0 for q.
-1, 1, 2
Let -4*z + 9*z**3 + 6*z**2 - 5*z**3 - 152 - z**4 + 147 = 0. Calculate z.
-1, 1, 5
Let z be 1075/750 + 2/(-20). Determine p, given that -z*p - 2 - 2/9*p**2 = 0.
-3
Let q(h) = h**2 + h. Let n(v) = 0 + 2*v**2 + 4*v + 4*v**2 + 0. Let m(b) = -2*n(b) + 10*q(b). Determine x so that m(x) = 0.
0, 1
Let j(g) be the third derivative of g**5/390 - g**3/39 + 7*g**2. Factor j(l).
2*(l - 1)*(l + 1)/13
Let k be 148/28 - (-4 - (-90)/21). Let v(z) be the third derivative of 0 + 0*z + 1/30*z**4 + 0*z**3 + 11/150*z**k + z**2. Suppose v(m) = 0. What is m?
-2/11, 0
Let y = 5 - 2. Factor l**2 + 0*l**2 - 4*l + y*l.
l*(l - 1)
Let j(d) be the second derivative of -d**4/12 + 11*d**3/30 - d**2/5 + 8*d. Factor j(u).
-(u - 2)*(5*u - 1)/5
Let g(s) = s**3 + 11*s**2 + s + 9. Let l be g(-11). Let w be (-5)/(-1)*(l + 3). Factor b**5 - 6*b**w + 4*b**5 - 3*b**4 - 3*b**3 - b**2.
-b**2*(b + 1)**3
Let k = 0 - -1. Let f be k/((3/(-2))/(-3)). Solve 4*d**2 - f*d + d - 5*d**2 = 0 for d.
-1, 0
Factor -23*i**5 + 48*i**3 + 25*i**5 + 16*i**4 + 32*i - 16*i**2 + 80*i**2.
2*i*(i + 2)**4
Let u = -431/15 - -115/4. Let m(j) be the third derivative of u*j**6 - 1/12*j**4 + 0*j + 0 + 1/105*j**7 - 2*j**2 - 1/30*j**5 + 0*j**3. Factor m(h).
2*h*(h - 1)*(h + 1)**2
Let c(o) be the second derivative of o**5/20 + o**4/8 - o**3 - 2*o**2 - 4*o. Let n(v) be the first derivative of c(v). Let n(b) = 0. Calculate b.
-2, 1
Let a(o) be the second derivative of -o**7/12600 + o**5/600 - o**4/4 + o. Let y(k) be the third derivative of a(k). Factor y(r).
-(r - 1)*(r + 1)/5
Let p(r) be the second derivative of -r**6/6 - 3*r**5/4 + 5*r**4/6 + 10*r**3 + 20*r**2 + 7*r. Factor p(k).
-5*(k - 2)*(k + 1)*(k + 2)**2
Let x(d) be the second derivative of -d + 0*d**2 + 0 + 0*d**5 - 1/30*d**6 + 0*d**3 + 0*d**4. Suppose x(v) = 0. What is v?
0
Let o(v) = 4*v**2 - 17*v - 6. Let n(p) = p + 1. Let w(g) = -24*n(g) - 3*o(g). Determine s so that w(s) = 0.
1/4, 2
Let f(x) be the third derivative of x**8/1680 - x**6/180 + x**4/24 - x**3/2 - 3*x**2. Let z(n) be the first derivative of f(n). Factor z(i).
(i - 1)**2*(i + 1)**2
Let x(f) = f**2 - 6*f - 3. Let u(r) = -2*r**2 + 14*r + 6. Let k(w) = -4*u(w) - 9*x(w). What is z in k(z) = 0?
-3, 1
Let p(v) = -v**3 - v**2 + 3*v + 5. Let w(r) = -3*r**3 - 4*r**2 + 8*r + 16. Suppose 5*h - 6*h = 2. Let i(s) = h*w(s) + 7*p(s). Factor i(t).
-(t - 3)*(t + 1)**2
Let p be 21/70*(-8)/(-18). Let y(n) be the first derivative of p*n**3 + 2 - 2/25*n**5 + 0*n + 1/10*n**4 - 1/5*n**2. Determine w, given that y(w) = 0.
-1, 0, 1
Let z(p) = -p - 2. Let v be z(-4). Let s be (0 - 5)*(-2)/v. Factor 6*t**4 + 5/2*t**s + 2*t**3 - 1 - 9/2*t - 5*t**2.
(t - 1)*(t + 1)**3*(5*t + 2)/2
Suppose 27/5 - 3/5*l**4 - 24/5*l**2 - 18/5*l**3 + 18/5*l = 0. What is l?
-3, -1, 1
Let s(q) be the third derivative of -2*q**2 + 0*q + 0 + 0*q**3 + 1/60*q**5 + 1/12*q**4. Let z(m) = 5*m**2 + 9*m. Let f(t) = -18*s(t) + 4*z(t). Factor f(j).
2*j**2
Let f(y) = -2*y + 16. Let m be f(6). What is t in -2/11*t + 2/11*t**m + 0 + 2/11*t**3 - 2/11*t**2 = 0?
-1, 0, 1
Factor 0*q + 40/11*q**4 + 0 + 4/11*q**2 + 26/11*q**3 + 18/11*q**5.
2*q**2*(q + 1)**2*(9*q + 2)/11
What is g in 0*g**4 + 2*g**3 - 6*g**3 + 6*g**2 - 6*g**4 + 4*g = 0?
-1, -2/3, 0, 1
Let d be (-3)/28*(-12)/18. Let x(k) be the second derivative of d*k**7 + 0*k**2 + 0 - 1/4*k**4 - 3/20*k**5 - k + 1