e l.
-1, 0, 24
Factor -40/3 + 10/3*l + 5/3*l**2.
5*(l - 2)*(l + 4)/3
Let d(w) = w**5 - w**4 + w**3 - w - 1. Let u(x) = -10*x**5 + 5*x**4 + 10*x**3 + 10*x**2 + 5*x + 5. Let q(v) = 5*d(v) + u(v). Factor q(p).
-5*p**2*(p - 2)*(p + 1)**2
Let u(p) = 5*p**2 + 38*p - 3. Let m(t) = -7*t**2 - 51*t + 3. Let l(z) = 8*m(z) + 11*u(z). Factor l(w).
-(w - 9)*(w - 1)
Suppose 0 = 5*j + 3*o - 4, -3*j - 3*o = o - 9. Let g be ((-3 - -4) + j)/(1 - -1). Determine i, given that 2/7*i - 6/7*i**2 + g = 0.
0, 1/3
Let k(v) be the third derivative of v**5/240 - 19*v**4/24 + 25*v**3/8 - 17*v**2 - 2*v. Let k(q) = 0. What is q?
1, 75
Suppose 0 = -15*g - 0*g + 15. Let d be g*(2 + -2) - 108/(-15). Solve -9/5 - 6*w - 3/5*w**4 - 18/5*w**3 - d*w**2 = 0 for w.
-3, -1
Let s(k) be the first derivative of 0*k + 0*k**2 + 0*k**4 + 1/420*k**7 + 7/3*k**3 + 0*k**6 + 0*k**5 + 4. Let p(z) be the third derivative of s(z). Factor p(x).
2*x**3
Factor -88/3*f - 1/9*f**2 - 1936.
-(f + 132)**2/9
Let g(w) = w**2 - 12. Let x be g(0). Let r be (-5 - -1)/x - 14/(-30). Suppose -r*k + 4/5*k**3 + 4/5*k**2 - 4/5*k**4 + 0 = 0. What is k?
-1, 0, 1
Let b be (-8)/42*(-18)/4. Suppose 4*p + 40 = 5*a + 50, 2*a + 4 = 2*p. Factor p + 0*l + b*l**4 + 0*l**2 + 2/7*l**3 - 8/7*l**5.
-2*l**3*(l - 1)*(4*l + 1)/7
What is y in 285 - 152*y**2 - 68*y**3 - 72*y - 28*y - 301 = 0?
-1, -4/17
Factor 0 - 30/7*t**2 - 2/7*t**4 + 2*t**3 + 18/7*t.
-2*t*(t - 3)**2*(t - 1)/7
Let n(q) be the first derivative of -3*q**4/16 - 2*q**3 - 9*q**2/2 + 220. Suppose n(r) = 0. What is r?
-6, -2, 0
Let m(a) = -4*a**2 + 4*a - 2. Let q(p) = 10 + 0*p + 5*p**2 + 2 - 4*p - 9. Let t(l) = -6*m(l) - 5*q(l). Determine w, given that t(w) = 0.
-3, -1
Let 0*y**2 + 38/3*y**3 + 1/3*y**4 + 0*y + 0 = 0. Calculate y.
-38, 0
Let t be (-2)/1 + 2/13 + (-18744)/(-858). Determine n so that -10*n - t - 5/4*n**2 = 0.
-4
Factor 1/6*r**3 + 0 + 10*r**2 + 150*r.
r*(r + 30)**2/6
Let t(l) be the second derivative of l**5/15 - l**4/3 + 2*l**3/3 + 7*l**2 + 22*l. Let s(z) be the first derivative of t(z). Determine m, given that s(m) = 0.
1
Let y(w) be the second derivative of 5*w**7/42 + w**6/3 - w**5 - 5*w**4/6 + 5*w**3/2 + 217*w. Factor y(c).
5*c*(c - 1)**2*(c + 1)*(c + 3)
Let d(k) be the third derivative of -1/8*k**4 + 1/5*k**3 + 0*k + 1/25*k**5 - 5*k**2 + 0 - 1/200*k**6. Solve d(a) = 0 for a.
1, 2
Let g be 5 - (-4 - (-268)/72)/(10/6). Let 13/6*k**3 - 2/3 + 7/6*k**4 - 5/6*k**5 - g*k**2 + 10/3*k = 0. What is k?
-2, 2/5, 1
Suppose h**3 - 4 - 14*h**2 + 15 - 83 + 60*h = 0. What is h?
2, 6
Let w(j) be the second derivative of 0*j**4 + 81*j**2 + 0 - 3/5*j**5 - 1/15*j**6 + 33*j + 18*j**3. Factor w(s).
-2*(s - 3)*(s + 3)**3
Let v(b) be the first derivative of -4*b**5/5 - 2*b**4 + 36*b**3 + 112*b**2 - 320*b + 375. Factor v(d).
-4*(d - 5)*(d - 1)*(d + 4)**2
Let l(c) = c + 20. Let o be l(0). Let b be 8/(-20) + ((-91)/o)/(-7). Suppose 0*m - 1/4*m**3 + 0 + b*m**2 = 0. What is m?
0, 1
Let f(s) be the second derivative of 2*s**7/525 - s**5/75 + s**2/2 + 47*s. Let p(n) be the first derivative of f(n). Factor p(l).
4*l**2*(l - 1)*(l + 1)/5
Let 2*a**3 - 3 - 3*a**4 - a - 2*a**2 - 4*a**2 - a**5 + 2*a**2 + 10*a**2 = 0. What is a?
-3, -1, 1
Let z(v) be the first derivative of 10*v + 2/27*v**3 + 1/54*v**4 + 0*v**2 + 10. Let a(f) be the first derivative of z(f). Solve a(h) = 0 for h.
-2, 0
Let n(t) = t - 16. Let w be n(18). Find v such that -v - 4*v**4 + 4*v**2 + 4*v**3 + v**w - v**2 - 3*v = 0.
-1, 0, 1
Let t(d) be the third derivative of d**6/30 - 17*d**5/5 - 35*d**4/2 - 106*d**3/3 + 2*d**2 - 9. What is f in t(f) = 0?
-1, 53
Let d(q) be the third derivative of q**6/30 + 7*q**5/30 + 7*q**4/12 + 2*q**3/3 + q**2 + 17. Determine n so that d(n) = 0.
-2, -1, -1/2
Let k(a) be the third derivative of a**7/525 - a**6/100 - 3*a**5/25 - a**4/15 + 8*a**3/5 - 201*a**2. Determine m, given that k(m) = 0.
-2, 1, 6
Let x(d) be the third derivative of -d**6/40 - 3*d**5/5 + 15*d**4/2 + 400*d**3 + 783*d**2. Factor x(b).
-3*(b - 8)*(b + 10)**2
Factor -469589 - 26680*p - 11*p**3 - 408*p**2 - 159275 - p**3 - 1064*p + 10*p**3.
-2*(p + 68)**3
Let d(b) = -21*b**2 - 66*b + 180. Let r(a) = 2*a + 2. Let x(i) = d(i) + 6*r(i). Determine u so that x(u) = 0.
-32/7, 2
Factor 159*z**2 + 30*z**3 - 111*z**3 - 27*z - 11*z**4 - 42*z**3 - 102*z**3 - 16*z**4.
-3*z*(z + 9)*(3*z - 1)**2
Suppose 0 = -5*b - 3 - 7, b + 24 = -2*j. Let m(w) = -2*w**2 - 48*w - 286. Let s(z) = 10*z**2 + 240*z + 1429. Let f(v) = j*m(v) - 2*s(v). Factor f(p).
2*(p + 12)**2
Let u be (430/(-6))/((-7)/(-21)). Let o = -211 - u. Determine i, given that 3/7*i**o + 0*i**2 + 0*i + 0 - 3/7*i**5 + 0*i**3 = 0.
0, 1
Let 6 - 100*w + 29 - 104*w**2 + 18*w**3 - 11 - 2*w**3 + 4*w**3 = 0. What is w?
-1, 1/5, 6
Let i(l) = -10*l**2 - 595*l - 555. Let n(c) = 15*c**2 + 892*c + 835. Let h(p) = -7*i(p) - 5*n(p). Factor h(v).
-5*(v + 1)*(v + 58)
Let n(i) be the third derivative of -i**5/270 - 37*i**4/108 - 34*i**3/9 - 182*i**2. Determine x, given that n(x) = 0.
-34, -3
Suppose -2*q + 8 = -4*b, 59*q = 61*q - 16. Factor 162/5 - 36/5*r + 2/5*r**b.
2*(r - 9)**2/5
Suppose 0 = 5*c - 4*q - 22, -2*c + 0*q - 2*q = 2. Suppose -3*h**3 - 8 + 14*h**2 - 5*h**c - 4 = 0. Calculate h.
-1, 2
Let m(i) be the second derivative of -i**5/80 - 5*i**4/24 + i**3 - 141*i - 2. Factor m(v).
-v*(v - 2)*(v + 12)/4
Suppose -2*g = -0*g - 4. Suppose -4*a - g*a + 18 = 0. Suppose 2*m**2 + 3*m**3 + 3*m**3 - a*m**4 + m**4 - 6*m + 4*m**4 - 4 = 0. Calculate m.
-2, -1, 1
Let d(w) = w - 3. Let r be d(7). What is b in 55*b**4 - 71*b**4 + r*b**3 + 40*b**2 + 4*b**5 - 12*b - 4*b - 32 = 0?
-1, 2
Let l(s) = s**2 + 133*s + 126. Let h(d) = 265*d + 250. Let v(f) = 2*h(f) - 5*l(f). Determine b so that v(b) = 0.
-26, -1
Let m be (-4)/((-7)/5 - (-3)/(-5)). Factor -3*n**m + 208 + 3*n - 205 - n**3 - 2*n**3.
-3*(n - 1)*(n + 1)**2
Let 31*d - 11*d**2 - 9 - 5 + 18 + 3*d**2 = 0. Calculate d.
-1/8, 4
Let v(u) = -5*u - 122. Let k be v(-25). Let z(f) be the first derivative of -1 + 1/7*f**2 - 2/21*f**k + 0*f. Factor z(t).
-2*t*(t - 1)/7
Let w(k) = k**3 + 4*k**2 + 46*k + 1. Let m(a) = a**3 + 23*a. Let u(h) = 13*m(h) - 6*w(h). Let u(o) = 0. Calculate o.
3/7, 1, 2
Let c(u) = -12*u**2 + 79*u - 34. Let k(x) = -29*x**2 + 157*x - 65. Let z(r) = 10*c(r) - 4*k(r). Factor z(v).
-2*(v - 40)*(2*v - 1)
Let m = 3 - 9. Let k be (m - -7)*(-1 - -3). Suppose -4*i + 18 - 24 - 5*i - i**2 - 2*i**k = 0. What is i?
-2, -1
Let n(o) = 9*o**2 - 15*o - 32. Let q = 40 + -28. Let m = q + -18. Let f(r) = r**2 - 2*r - 4. Let u(j) = m*n(j) + 51*f(j). Determine p, given that u(p) = 0.
-2
Suppose 141*p = 143*p. Let t(k) be the third derivative of p*k - 1/7*k**3 - 1/42*k**4 + 0 + 1/210*k**5 + 5*k**2. Suppose t(g) = 0. What is g?
-1, 3
Let t = -16010 + 16014. Suppose 517/4*s**2 + 9 + 225/2*s**3 - 75*s + 81/4*s**t = 0. Calculate s.
-3, 2/9
Suppose -11 - 9 = -4*o. Let i = -2 + o. Let 5*c + 0 - 2*c + 3*c - i + 9*c**2 = 0. What is c?
-1, 1/3
Let q = 1826/3 + -5474/9. Find i, given that -q*i**3 + 14/9*i - 4/3 + 2/9*i**2 = 0.
-2, 1, 3/2
Suppose -647*p**2 + 687*p**2 + 50 - 2 - 92*p + 4*p**3 = 0. Calculate p.
-12, 1
Suppose 2*s - 12 = 4*l - 3*l, 5*l = -4*s - 18. Let y be 2/((-8)/12) - l. Factor 2*m**y - 2*m**3 + 3*m**2 - 9*m**4 - 6*m**3.
-3*m**2*(m + 1)*(3*m - 1)
Let r(j) be the first derivative of j**3/3 - 7*j**2/2 + 8*j + 9. Let h be r(6). Find v, given that 2*v**3 - 3*v**3 - 4*v**3 + h*v + 5*v**2 - 2*v**3 = 0.
-2/7, 0, 1
Let y(j) = -j**3 + 7*j**2 + j - 6. Let i be y(7). Let l be i*(-2 + 4) + 0. Determine t, given that -5 - t**2 - 8*t**2 - 10*t + t**l + 1 - 2*t**3 = 0.
-2, -1
Let r(w) be the third derivative of w**7/525 - w**6/25 + w**5/15 + w**4/5 - 11*w**3/15 + 28*w**2. Determine c, given that r(c) = 0.
-1, 1, 11
Let -16*h**2 + 109*h**4 - 111*h**4 + 40*h - 4*h**3 - 18*h**3 = 0. What is h?
-10, -2, 0, 1
Let z(k) be the second derivative of 1/70*k**5 + 13*k + 0 + 0*k**4 - 1/21*k**3 + 0*k**2. Factor z(p).
2*p*(p - 1)*(p + 1)/7
Let p(l) = -l**3 - 2*l**2 + 2*l + 3. Let f be (-55)/20 + 1/(-4). Let y be p(f). Find o, given that -o - 6*o + o + y*o**3 - 13*o**2 - o**3 = 0.
-2/5, 0, 3
Let n = -863 + 2597/3. What is b in -n*b - 2/9*b**3 + 16/9 + 4/3*b**2 = 0?
2
Factor -104*g**3 + 1132*g**4 - 564*g**4 - 564*g**4 + 100*g**2.
4*g**2*(g - 25)*(g - 1)
Factor -249*i**3 - 249*i**3 + 503*i**3 + 30*i**5 + 3