 0*v + 0*v**3 - 1/336*v**8 + 0*v**6 + 1/30*v**5 + 1/24*v**4 + 0 - 1/105*v**7. Factor h(r).
-r*(r - 1)*(r + 1)**3
Let n = 140 + -416/3. Let -n*b - 2/3*b**2 + 0 = 0. What is b?
-2, 0
Let f = -14 - -17. Factor 3*g**4 - 4*g**4 + 3*g + 6*g**f - g + 3*g**4 + 6*g**2.
2*g*(g + 1)**3
Let f(x) = -35*x**5 + 126*x**4 - 100*x**3 - 40*x**2 + 4*x. Let r(a) = -35*a**5 + 127*a**4 - 100*a**3 - 40*a**2 + 3*a. Let y(j) = -3*f(j) + 4*r(j). Factor y(o).
-5*o**2*(o - 2)**2*(7*o + 2)
Let j = -219 + 222. Find a, given that 20/3*a**2 - 8/3*a + 0 - 2*a**j - 3*a**4 = 0.
-2, 0, 2/3
Suppose -22*v + 20*v + 24 = 0. Suppose -p + 6 = p, 5*s - p - v = 0. Factor y + 5/2*y**2 + 0 + 3/2*y**s.
y*(y + 1)*(3*y + 2)/2
Solve 16/5 - 14/5*y - 2/5*y**2 = 0.
-8, 1
Let p = 1/43 + -53/4128. Let u(r) be the third derivative of 0*r**5 + 0 - p*r**4 + r**2 + 0*r**3 + 1/480*r**6 + 0*r. Factor u(z).
z*(z - 1)*(z + 1)/4
Let d(q) be the first derivative of q**3 + 6*q**2 + 12*q + 6. Factor d(i).
3*(i + 2)**2
Factor 3*l**2 + 0*l**5 + 6*l**3 - l**2 + 5*l**4 + l**4 + 2*l**5.
2*l**2*(l + 1)**3
Let d(m) be the third derivative of m**7/840 - 7*m**6/240 + 2*m**5/15 + 4*m**4/3 + 10*m**2. What is b in d(b) = 0?
-2, 0, 8
Factor 15/4*w**2 + 3/4*w**3 + 0 + 3*w.
3*w*(w + 1)*(w + 4)/4
Let i be (-2)/(-4) - 4*(-18)/48. Let u(g) be the first derivative of 4 - 1/3*g + 7/24*g**4 + 2/3*g**3 + 1/4*g**i. Factor u(r).
(r + 1)**2*(7*r - 2)/6
Let b(k) = 2*k**3 - k**2 - 27*k + 8. Let i(a) = 3*a**3 - 26*a + 8. Let s(x) = -6*b(x) + 7*i(x). What is o in s(o) = 0?
-2, 2/3
Let m be (-1)/(3/18 - 0). Let h = m + 8. Factor -3/2*s**3 + 3/2*s**h + 0 - 1/2*s + 1/2*s**4.
s*(s - 1)**3/2
Suppose 0 = -26*v + 25*v + 2. Factor -1/4*j - 1/2*j**3 + 0 + 3/4*j**v.
-j*(j - 1)*(2*j - 1)/4
Let p(b) be the third derivative of -1/75*b**5 + 0*b + 0*b**4 + 0 - 1/75*b**7 + 0*b**3 + 3/100*b**6 - b**2. Factor p(l).
-2*l**2*(l - 1)*(7*l - 2)/5
Suppose 2*g + d - 10 = 0, g + 5*d = -g + 18. Let w(k) be the second derivative of 3*k**2 - 3*k - 3/2*k**3 + 0 + 1/4*k**g. Suppose w(c) = 0. Calculate c.
1, 2
Let k = -3 - -5. Solve k*d - 2*d**3 + 0*d**2 - d**2 + d**2 - d**4 + 1 = 0.
-1, 1
Factor 0*r**2 + 0*r - 3/7*r**3 + 0.
-3*r**3/7
Let o(n) = 10*n**2 - 11*n + 5. Let k(g) = g**2 + g + 1. Let i(l) = -k(l) + o(l). Solve i(w) = 0 for w.
2/3
Let h(z) = -z**4 + z**3 - z. Let x(y) = 5*y**4 - 24*y**3 - 97*y**2 - 138*y - 64. Let u(n) = -6*h(n) - x(n). Factor u(c).
(c + 1)**2*(c + 8)**2
Find m such that m**2 - 10*m**3 + 11*m**3 + 2*m**2 + 2*m = 0.
-2, -1, 0
Let t(l) = 5*l**4 + 11*l**3 + 12*l**2 + 11*l + 2. Let x(d) = -d**4 - d**3 - d. Let g(r) = 2*t(r) + 6*x(r). What is w in g(w) = 0?
-1
Factor -14 + y + 14 + y**2 + 2*y.
y*(y + 3)
Suppose -3*q + x + 9 = -2*x, 4*q = 5*x + 12. Suppose 3*i = a - 0 + q, 5*i - 4*a = -2. Factor -z + z - i*z**4.
-2*z**4
Let p(d) be the second derivative of 1/6*d**4 + d + d**2 - 7/30*d**5 + 0 + 0*d**3. Let n(a) be the first derivative of p(a). Factor n(y).
-2*y*(7*y - 2)
Let x(u) = -2*u**2 - 7. Let c(j) = 9*j**2 + 27. Let o(y) = 5*c(y) + 21*x(y). Factor o(d).
3*(d - 2)*(d + 2)
Let u(j) be the third derivative of 0*j**3 + 1/480*j**6 - 1/96*j**4 + 0 + 0*j - 2*j**2 - 1/60*j**5 + 1/210*j**7. Solve u(o) = 0.
-1, -1/4, 0, 1
Let f(d) be the first derivative of d**6/2 + 14*d**5/25 - 9*d**4/10 - 16*d**3/15 + 3*d**2/10 + 2*d/5 - 13. What is u in f(u) = 0?
-1, -1/3, 2/5, 1
Find u, given that -2/5*u**4 + 4/5 + 7/5*u**2 + 8/5*u**5 + 4*u - 37/5*u**3 = 0.
-2, -1/2, -1/4, 1, 2
Let q(k) be the third derivative of -4*k**2 + 0 + 5/144*k**4 + 0*k - 1/12*k**3 - 1/720*k**6 - 1/360*k**5. Factor q(b).
-(b - 1)**2*(b + 3)/6
Let q(f) be the second derivative of 2*f**5/115 - 7*f**4/138 - 2*f**3/69 - 11*f. Factor q(m).
2*m*(m - 2)*(4*m + 1)/23
Let m = -31 - -36. Let r(c) be the third derivative of 0 + 1/315*c**7 - c**2 + 0*c - 1/180*c**6 + 0*c**3 - 1/90*c**m + 1/36*c**4. Solve r(w) = 0 for w.
-1, 0, 1
Let s = -1 + -3. Let w be 3/s*4/(-12). Find k, given that w*k + 1/4*k**2 + 0 = 0.
-1, 0
Let r(m) = -m**3 + 4*m**2 + m - 4. Let l(o) = o**2 - 1. Let a(u) = 6*l(u) - r(u). Factor a(d).
(d - 1)*(d + 1)*(d + 2)
Let s(r) be the third derivative of -r**6/60 + r**4/4 + 2*r**3/3 - 6*r**2. Find j such that s(j) = 0.
-1, 2
Let a be (-70)/7 - (-312)/28. Factor -198/7*f**3 - a*f + 81/7*f**4 + 0 + 76/7*f**2.
f*(f - 2)*(9*f - 2)**2/7
Determine r so that 3 + 26*r - 15*r - 9*r**2 - 5 = 0.
2/9, 1
Suppose 0 = -4*v - 23*v. Determine g, given that v*g - 1/6*g**5 + 0 - 1/6*g**3 + 1/3*g**4 + 0*g**2 = 0.
0, 1
Let t(w) be the first derivative of 4*w + 2/3*w**3 - 3*w**2 + 2. Find v such that t(v) = 0.
1, 2
What is z in -36*z**4 + 7*z**2 - 83*z**2 + 81*z**3 + 24*z - 5*z**5 + 9*z**5 + 3*z**3 = 0?
0, 1, 6
Let o(c) be the first derivative of c**7/735 - c**5/70 - c**4/42 + c**2 + 8. Let a(d) be the second derivative of o(d). Solve a(b) = 0.
-1, 0, 2
Let h(r) be the second derivative of -r**7/126 - r**6/18 - r**5/6 - 5*r**4/18 - 5*r**3/18 - r**2/6 - 26*r. Factor h(w).
-(w + 1)**5/3
Let b be 3/(-42)*(-7)/30. Let f(m) be the third derivative of -b*m**5 + 1/240*m**6 + 0*m**3 + 0 + 1/48*m**4 - 2*m**2 + 0*m. Suppose f(i) = 0. Calculate i.
0, 1
Suppose 0 = -2*u + 3*u - 16. Factor k**2 - k**4 + 16 - u.
-k**2*(k - 1)*(k + 1)
Suppose -4*p + 7 = p + 4*n, -3*p = -5*n - 19. Let -2/5 + 1/5*g**2 + 3/5*g - 3/5*g**p + 1/5*g**4 = 0. Calculate g.
-1, 1, 2
Let w = 21 - 20. Let v(d) = d**2 + d - 1. Let b(t) = -t**4 + t**3 - t**2 - 5*t + 2. Let p(a) = w*b(a) + 4*v(a). Determine u so that p(u) = 0.
-1, 1, 2
Let u be -2*((-2)/4 - 2). Let x = 4 + 6. Factor -7*a - 3*a - a**u + 2*a**4 + x*a - a**3.
-a**3*(a - 1)**2
Let k(g) be the third derivative of -25*g**6/24 + 20*g**5/3 + 95*g**4/6 + 40*g**3/3 + 5*g**2. Factor k(o).
-5*(o - 4)*(5*o + 2)**2
Let n(x) = -176*x**2 + 52*x - 4. Let h(r) = r**2. Let q(o) = 35*h(o) + 5*n(o). Factor q(d).
-5*(13*d - 2)**2
Let p be 1/(12/519) - -2. Let s = -45 + p. Factor 3/4*f + s*f**3 + 3/4*f**2 + 1/4.
(f + 1)**3/4
Let v(y) = -2*y - 3. Let k be v(-6). Find z, given that -k*z - 4 - 2 + z**2 - z**2 + 3*z**3 = 0.
-1, 2
Let p(o) be the second derivative of 0 + 1/2*o**4 - o**2 - 2*o - 2/3*o**3. Find r, given that p(r) = 0.
-1/3, 1
Suppose 5*d + 1 - 26 = 3*h, -3*d - 19 = 5*h. Solve 2/11*x**3 - 2/11*x**5 + 0 + 0*x**d + 0*x + 0*x**4 = 0 for x.
-1, 0, 1
Let b = 4 + 0. Factor -2*z + b*z**4 - z**2 - 6*z**4 + 2*z**3 + 3*z**4 + 0*z**3.
z*(z - 1)*(z + 1)*(z + 2)
Let p(u) be the second derivative of 4/11*u**2 + 3*u - 1/22*u**4 - 1/3*u**3 + 0. Factor p(m).
-2*(m + 4)*(3*m - 1)/11
Let b(t) be the first derivative of -t**5 - 5*t**4/2 - 5*t**3/3 + 20. Factor b(n).
-5*n**2*(n + 1)**2
Let q(g) be the first derivative of 2*g**6/3 - 10*g**4 + 80*g**3/3 - 30*g**2 + 16*g - 5. Solve q(m) = 0.
-4, 1
Let c(q) = -q - 3. Let a be 6*(1 + -5 + 3). Let w be c(a). What is z in 1/5*z**4 + 0*z**2 - 2/5*z**w + 2/5*z - 1/5 = 0?
-1, 1
What is m in -16/3*m + 4/3 - 20/3*m**2 = 0?
-1, 1/5
Factor -22*l**3 + 46*l**3 + 64*l - 22*l**3 + 20*l**2 + 64.
2*(l + 2)*(l + 4)**2
Let q(k) = k**2 + 1. Let y(b) = 5*b**3 + 10*b**2 + 10*b - 5. Let w(r) = -5*q(r) - y(r). Factor w(d).
-5*d*(d + 1)*(d + 2)
Let o(s) be the second derivative of 7*s**5/25 + 3*s**4/5 + 4*s**3/15 + 4*s. Factor o(l).
4*l*(l + 1)*(7*l + 2)/5
Let g(q) be the third derivative of -q**6/40 + q**5/4 - q**4 + 2*q**3 - q**2. Factor g(y).
-3*(y - 2)**2*(y - 1)
Let h(g) = g**3 - 2*g**2 + 3*g - 3. Let i be h(3). Let b be -2*(-1 + 4 + -5). What is r in -4*r**4 + 12*r**b - 2*r**5 + r**2 - i*r**3 + 5*r**3 + 3*r**2 = 0?
0, 1, 2
Let f(g) be the third derivative of -g**7/420 + g**6/60 - g**5/40 + 4*g**2. Determine t, given that f(t) = 0.
0, 1, 3
Let x(u) be the first derivative of u**6/3 + 6*u**5/5 - u**4/2 - 2*u**3 + 1. Factor x(c).
2*c**2*(c - 1)*(c + 1)*(c + 3)
Factor -3*i - 2*i**2 + 3*i**3 + 3*i**2 + 3 + 3*i**2 - 7*i**2.
3*(i - 1)**2*(i + 1)
Let t be ((-39)/(-52))/(27/16). Factor -2/3*q**2 + 8/9*q + 2/9*q**4 - t*q**3 + 8/9.
2*(q - 2)**2*(q + 1)**2/9
Let o be 6/((-1)/2 - -2). Factor -5*h**o - 12*h**5 + 11*h**5 - 8*h**2 - h**4 - 12*h**3.
-h**2*(h + 2)**3
Determine y, given that -26/7*y**4 + 2*y**3 + 8/7*y**5 + 4/7 + 22/7*y**2 - 22/7*y = 0.
-1, 1/4, 1, 2
Suppose 15 = 2*c - 5*g, 0 = 5*c - 5*g - 9 - 6. Solve -1/2*j**4 + 0*j + j**2 - 1/2 + c*j**3 = 0.
-1, 1
Let j(l) be the first derivative of -8*l**6/3 +