- g**2/2 + g. Let q(v) = -4*v**2 - 2*v + 2. Let x(d) = 3*q(d) + 2*r(d). What is o in x(o) = 0?
-2, 1
Let v = 36 - 36. Let q(n) be the second derivative of v + 1/2*n**2 + 3*n - 1/12*n**4 + 0*n**3. Factor q(s).
-(s - 1)*(s + 1)
Let h(d) = -d**2 + 11*d + 14. Let l be h(12). Factor 23*p**4 + p**2 - 27*p**4 + 4*p**5 - l*p**5 + 3*p**2 - 2*p.
2*p*(p - 1)**3*(p + 1)
Solve -15/2*h**3 + 99/4*h**2 + 3/4*h**4 - 30*h + 12 = 0 for h.
1, 4
What is y in 2*y**2 + 1/2*y**3 + 5/2*y + 1 = 0?
-2, -1
Let t(v) = -26*v**2 - 20*v - 10. Let c(g) = 5*g**2 + 4*g + 2. Suppose -2*u - 25 - 7 = 0. Let h(d) = u*c(d) - 3*t(d). Factor h(r).
-2*(r + 1)**2
Let x = -11 + 20. Suppose -5*f - 7*f**5 - x*f**4 + 0*f + 3*f + 4*f + 5*f**3 + 9*f**2 = 0. What is f?
-1, -2/7, 0, 1
Let b(q) = q. Let h(s) = s**2 - 11*s + 2. Let d(p) = 40*b(p) + 5*h(p). Determine o, given that d(o) = 0.
1, 2
Let b = -1/7 + 17/21. Suppose 0 + 0*z - 2/3*z**2 - b*z**3 = 0. What is z?
-1, 0
Let 0*f - 1/4*f**2 + 1/4 = 0. Calculate f.
-1, 1
Let t be -4*(3/(-5) + 3/6). Factor -2/5*i**3 + t*i + 0 - 1/5*i**2 + 1/5*i**4.
i*(i - 2)*(i - 1)*(i + 1)/5
Let h(v) be the third derivative of -v**7/180 + v**6/60 - v**5/120 - v**4/72 - 7*v**2. Let h(j) = 0. Calculate j.
-2/7, 0, 1
Let f = -3/269 - -278/807. Factor -f*v + 2/3 - 1/3*v**2.
-(v - 1)*(v + 2)/3
Factor 1/9*m**3 + 0 + 1/3*m**2 + 0*m.
m**2*(m + 3)/9
Determine m so that 0*m**3 + 8/3*m**2 + 0 + 0*m - 2/3*m**4 = 0.
-2, 0, 2
Factor 10*h**2 - 10 - 5*h + 149*h**3 - 70*h**3 - 74*h**3.
5*(h - 1)*(h + 1)*(h + 2)
Let h(d) be the first derivative of 8*d**2 + 16*d - 3 + 4/3*d**3. Find m, given that h(m) = 0.
-2
Let b(h) be the third derivative of -8*h**2 - 1/300*h**6 + 0 + 4/45*h**3 + 13/450*h**5 + 0*h - 4/45*h**4. Find f, given that b(f) = 0.
1/3, 2
What is d in d**4 - 5*d**4 + 2*d + 4*d - 12*d**2 + 12*d**3 - 2*d = 0?
0, 1
Let f(m) = m**4 + m**2 - m - 1. Let r(b) = 14*b**4 + 16*b**3 + 22*b**2 - 26*b - 26. Let o(i) = 10*f(i) - r(i). Solve o(x) = 0.
-2, -1, 1
Let t(y) = -495*y**2 + 107*y - 2. Let d(s) = 247*s**2 - 54*s. Let k(u) = -5*d(u) - 2*t(u). Factor k(x).
-(7*x - 2)*(35*x + 2)
Let u(i) = 1. Let j(x) = 2*x**2 - 2*x - 2. Let z(t) = j(t) + 2*u(t). Factor z(o).
2*o*(o - 1)
Let v(m) = 4*m**5 - 15*m**4 - 4*m**3 + 2*m**2 - 12*m - 5. Let h(b) = 8*b**5 - 29*b**4 - 7*b**3 + 5*b**2 - 23*b - 9. Let o(z) = -6*h(z) + 11*v(z). Factor o(j).
-(j - 1)**3*(j + 1)*(4*j - 1)
Let c(y) be the second derivative of -y**9/4320 - y**8/840 - 11*y**7/5040 - y**6/720 + y**4/2 + 7*y. Let i(l) be the third derivative of c(l). Factor i(q).
-q*(q + 1)**2*(7*q + 2)/2
Let r(m) be the third derivative of 2*m**7/525 + m**6/75 - m**5/75 - m**4/15 + 2*m**2. Find d such that r(d) = 0.
-2, -1, 0, 1
Let v(i) be the third derivative of 2/3*i**3 - 8*i**2 - 1/60*i**6 - 1/15*i**5 + 0*i + 1/12*i**4 + 0. Factor v(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let b be 111/21 + 2/(-7). Let o(l) be the third derivative of 0*l - 2/3*l**3 + 2*l**2 - 1/12*l**4 + 0 + 1/30*l**b. Let o(i) = 0. What is i?
-1, 2
Let z(q) = q**3 - q**2 + q + 5. Let s be z(0). Let i(v) be the third derivative of 0*v - 1/12*v**4 + 0*v**3 + v**2 + 1/30*v**s + 0. Factor i(h).
2*h*(h - 1)
Let b be 42*(28/6)/7. Let u = -26 + b. Let -2/3*p + 2/3*p**4 + 2/3 + 4/3*p**3 - 4/3*p**u - 2/3*p**5 = 0. What is p?
-1, 1
Let g(y) be the second derivative of y - 1/10*y**5 - 1/15*y**6 + 1/6*y**4 + 0*y**2 + 1/3*y**3 + 0. Factor g(o).
-2*o*(o - 1)*(o + 1)**2
Let d(k) be the second derivative of k**8/1200 + 23*k**7/4200 + k**6/90 + k**5/150 + k**3/3 - 3*k. Let o(n) be the second derivative of d(n). Factor o(j).
j*(j + 1)*(j + 2)*(7*j + 2)/5
Let x = -2 - 8. Let a(m) = 23*m**5 - 24*m**4 + 13*m**3. Let y(k) = 11*k**5 - 12*k**4 + 6*k**3. Let w(s) = x*y(s) + 4*a(s). Factor w(c).
-2*c**3*(3*c - 2)**2
Suppose 14 = 5*n + j - 5, -4*j + 28 = 4*n. Determine c so that 2*c**2 - 2*c + 2/3 - 2/3*c**n = 0.
1
Suppose -3*i + 12 - 3 = 0. Suppose -35 = -i*s - 11. Suppose 8*x - s*x - x**4 - x**3 = 0. What is x?
-1, 0
Suppose 2*d**3 - 2*d**2 - 10*d**2 - 9*d**3 + 3*d**3 = 0. Calculate d.
-3, 0
Factor -1/8*a**3 + 0 - 1/8*a - 1/4*a**2.
-a*(a + 1)**2/8
Let x(o) be the third derivative of o**6/960 - o**5/480 - o**4/192 + o**3/48 + 8*o**2. Factor x(d).
(d - 1)**2*(d + 1)/8
Let d = -436 - -26161/60. Let m(s) be the third derivative of 0*s**3 + 1/24*s**4 + 0 - 4*s**2 - d*s**5 + 0*s. Find h such that m(h) = 0.
0, 1
Factor a**2 + 5*a**2 + 16 - 2*a**2 - 16*a + 0.
4*(a - 2)**2
Let z(j) = 2*j**2 - 10*j - 4. Let v(o) = -o**2 + o. Let g(w) = -4*v(w) - z(w). Determine k so that g(k) = 0.
-2, -1
Let k be (3 + 0)/3*2. Let f = 0 + k. Suppose 3*o**4 - 3*o**5 + 0*o**5 + o**f + 3*o**3 - 4*o**2 = 0. Calculate o.
-1, 0, 1
Let k(y) = -11*y**2 - 17*y + 8. Let w(g) = -g**2 + g. Let i(l) = -2*k(l) + 10*w(l). Find v, given that i(v) = 0.
-4, 1/3
Let d(x) be the second derivative of x**5/4 + 5*x**4/6 + 5*x**3/6 + 16*x. Factor d(c).
5*c*(c + 1)**2
Suppose -3*g = 4*h + 38, 0 + 1 = -g + h. Let u be ((-20)/12 + 1)*g. Factor -2/9 + 0*x**3 + 4/9*x**2 + 0*x - 2/9*x**u.
-2*(x - 1)**2*(x + 1)**2/9
Factor 1/3*w**4 + w**2 + 1/3*w + 0 + w**3.
w*(w + 1)**3/3
Let x be (-4)/(-1)*(-2)/1. Let t = 10 + x. Factor 4*a**t - 1/2*a - 5/2*a**3 - 1.
-(a - 1)**2*(5*a + 2)/2
Let -2/3*h**2 - 2/9*h**3 + 10/9*h + 2/9*h**4 - 4/9 = 0. Calculate h.
-2, 1
Let q(j) = -j**3 + 1. Let b(n) = 2*n**3 - 7*n**3 + 4 + 5*n**4 + 3. Let x(p) = 2*b(p) - 14*q(p). Factor x(h).
2*h**3*(5*h + 2)
Let s = 1214/9 + -404/3. Factor s*n**2 - 2/9*n + 0.
2*n*(n - 1)/9
Let g(q) be the second derivative of q**7/168 - q**6/60 - q**5/80 + q**4/24 - q + 57. Find w, given that g(w) = 0.
-1, 0, 1, 2
Let z be (-1 - -1)/(1/(-1)). Let n(d) = d**2 + d + 2. Let t be n(z). Determine x so that -2*x**2 + 0*x + 3*x**t - x = 0.
0, 1
Suppose 2*a + 6 = 4*z - z, -5*z + 3*a = -10. Let l(n) = 3*n**3 + n**2. Let h be l(1). Factor -4/5*v**3 - 2/5*v**h + 0*v - 2/5*v**z + 0.
-2*v**2*(v + 1)**2/5
Let r(l) be the first derivative of -3*l**4/2 - 2*l**3/3 + 3*l**2 + 2*l - 10. Solve r(g) = 0.
-1, -1/3, 1
Let -1/4 - 4*w**2 - 2*w = 0. Calculate w.
-1/4
What is l in 1/2*l**3 + 1/2*l**2 + 0 + 0*l = 0?
-1, 0
Suppose 4 = -2*v + 16. Let a be (-1*v)/(-3) + -2. Solve i**2 + a*i + 7*i + i**3 - 7*i = 0 for i.
-1, 0
Let n(l) be the first derivative of l**4/4 - 7*l**3/3 - l**2/2 + 9*l + 2. Let d be n(7). Determine j so that 2 + j**2 - d - j = 0.
0, 1
Let v(n) be the third derivative of 5*n**9/3024 + n**8/252 + n**7/315 + n**5/60 - 5*n**2. Let t(y) be the third derivative of v(y). Factor t(r).
4*r*(5*r + 2)**2
Suppose -6/7 + 15/7*j**3 - 3/7*j**4 + 3*j - 27/7*j**2 = 0. Calculate j.
1, 2
Let m(b) = -b**3 + 35*b**2 + 35*b + 38. Let h be m(36). Factor -3/7*k**h - 3/7*k + 6/7.
-3*(k - 1)*(k + 2)/7
Let v(w) = -4*w**5 - 4*w**4 + 4*w**3 + 24*w**2 + 26*w + 6. Let j(n) = -9*n**5 - 7*n**4 + 9*n**3 + 49*n**2 + 53*n + 11. Let m(k) = 2*j(k) - 5*v(k). Factor m(u).
2*(u - 2)*(u + 1)**3*(u + 2)
Suppose 8*l - 6 = 5*l. Let o be 1/2 + 10/(-36). Factor 0*c**l + 0 + o*c - 2/9*c**3.
-2*c*(c - 1)*(c + 1)/9
Suppose -7 = -l + 5*a - 2, -5 = l + 5*a. Factor 1/6*n**3 + 0 + 0*n**2 + l*n.
n**3/6
Factor 2/5*i**4 + 0*i + 8/5*i**3 + 8/5*i**2 + 0.
2*i**2*(i + 2)**2/5
Let b(q) be the second derivative of 1/3*q**3 + 0 + 1/2*q**4 - 1/10*q**5 - 1/5*q**6 + 2*q + 0*q**2. Solve b(s) = 0.
-1, -1/3, 0, 1
Suppose 8/15 - 2/15*q**3 + 2/15*q - 8/15*q**2 = 0. What is q?
-4, -1, 1
Let w(c) be the first derivative of -3/8*c**2 - 1/12*c**3 - 1/2*c + 6. Solve w(l) = 0.
-2, -1
Let w(b) be the second derivative of b**7/294 + b**6/70 - b**5/20 - b**4/12 + 3*b**3/7 - 4*b**2/7 + 3*b. Factor w(x).
(x - 1)**3*(x + 2)*(x + 4)/7
Let d = 825 + -823. Factor 8/5 - 26/5*q**2 - 8/5*q - d*q**3.
-2*(q + 1)*(q + 2)*(5*q - 2)/5
Let h be 2/(-2*4/(-16)). Solve 14/9*i**3 + 10/9*i**h + 2/9*i**5 - 2/9*i**2 - 16/9*i - 8/9 = 0.
-2, -1, 1
Let z(q) be the third derivative of q**7/280 - 3*q**5/40 + q**4/4 + 2*q**3/3 - 6*q**2. Let s(b) be the first derivative of z(b). Let s(r) = 0. Calculate r.
-2, 1
Let m(t) be the third derivative of -t**8/294 + t**7/49 - 4*t**6/105 + t**5/70 + t**4/42 + 3*t**2 + 4. Suppose m(n) = 0. What is n?
-1/4, 0, 1, 2
Let c(z) = 3*z - 4. Let l be ((-1)/2)/(1/(-12)). Let b be c(l). Find x, given that 0*x + x + 3*x + 2*x**3 + b*x**2 - 2 + 6*x**3 = 0.
-1, 1/4
Solve 6*d**2 - 2*d - 4 - 2*d**3 - 4*d**