 - 6*s + 15*s**2 = 0.
0, 2
Let -12*v - 25/7*v**3 + 120/7*v**2 + 16/7 = 0. What is v?
2/5, 4
Factor -2*b + 1 - 5/4*b**2.
-(b + 2)*(5*b - 2)/4
Suppose 0 + 0*q**4 + 2/9*q**5 + 0*q**2 + 2/9*q - 4/9*q**3 = 0. What is q?
-1, 0, 1
Let u(g) be the third derivative of -g**9/30240 - g**4/8 - 4*g**2. Let c(m) be the second derivative of u(m). Determine b so that c(b) = 0.
0
Suppose l = 5*v + 133, 3*l - l + 85 = -3*v. Let f be -8*(v/(-12))/(-9). Let 1/6*r**f + 1/3*r + 1/6 = 0. Calculate r.
-1
Let k(y) be the third derivative of y**6/720 - y**4/12 - y**3 + 4*y**2. Let b(j) be the first derivative of k(j). Factor b(n).
(n - 2)*(n + 2)/2
Let i(q) be the first derivative of q**3/9 - 5*q**2/6 + 34. Determine v so that i(v) = 0.
0, 5
Let q = -8 - -2. Let d(v) = -10*v**2 - 10*v - 16. Let l(k) = -29*k**2 - 31*k - 48. Let w(p) = q*l(p) + 17*d(p). Factor w(s).
4*(s + 2)**2
Let x(j) = -2*j**3 - 4*j**2 + 4. Let z be x(-2). Let c(g) be the second derivative of 0*g**2 + 1/12*g**z + 1/3*g**3 + g + 0. Suppose c(w) = 0. What is w?
-2, 0
Suppose -120/7*h + 117/7*h**2 + 9/7*h**5 - 9/7*h**3 + 36/7 - 33/7*h**4 = 0. What is h?
-2, 2/3, 1, 3
Suppose 14/15*h**2 + 8/15 - 32/15*h = 0. What is h?
2/7, 2
Let y(m) be the first derivative of m**8/1344 + m**7/840 - m**6/480 - m**5/240 - 3*m**2/2 - 1. Let w(t) be the second derivative of y(t). Solve w(d) = 0 for d.
-1, 0, 1
Let g(a) be the second derivative of a**5/4 + 5*a**4/3 + 25*a**3/6 + 5*a**2 + 37*a. Factor g(o).
5*(o + 1)**2*(o + 2)
Determine y so that 0 + 4/9*y**5 + 2/9*y**4 + 0*y - 2/9*y**2 - 4/9*y**3 = 0.
-1, -1/2, 0, 1
Factor -99 + 99 + 3*k + 9*k**2 + 6*k**3.
3*k*(k + 1)*(2*k + 1)
Let w be 0 + 12 - 1/1. Let b = w + -11. Let 0 - 2/9*p**5 + 0*p**2 + b*p + 2/9*p**4 + 4/9*p**3 = 0. What is p?
-1, 0, 2
Let s(a) be the first derivative of -2*a**3/11 + 5*a**2/11 - 4*a/11 + 8. Factor s(i).
-2*(i - 1)*(3*i - 2)/11
Let v = 16/153 + 2/17. What is w in v*w**2 + 0 + 0*w = 0?
0
Let z(p) = -9*p**3 - 12*p**2 - 36*p - 18. Let d(a) = 26*a**3 + 37*a**2 + 108*a + 55. Let x(q) = -6*d(q) - 17*z(q). What is h in x(h) = 0?
-2
Find l, given that l**2 + 1/2*l**4 + 0 + 0*l + 3/2*l**3 = 0.
-2, -1, 0
Let h(w) = w**4 + w**3 - 1. Let x(g) = 9*g**4 + 9*g**3 - 6*g**2 - 8. Let c(u) = 24*h(u) - 3*x(u). Find j such that c(j) = 0.
-3, 0, 2
Factor 2/9*t**2 - 2/9*t**4 + 2/9*t + 0 - 2/9*t**3.
-2*t*(t - 1)*(t + 1)**2/9
Let d = 83 + -79. Factor -g**d + 0*g**2 + 0 - g**3 + 0*g - 1/4*g**5.
-g**3*(g + 2)**2/4
Let j be (-1 + 0)*10/(-5). Factor w**j - 4/3 - 4/3*w.
(w - 2)*(3*w + 2)/3
Let t(m) be the first derivative of 3*m**3 + 3*m**2 + 20. Let t(x) = 0. What is x?
-2/3, 0
Suppose 3*n = 5*g - 22, -5*g = 3*n + 1 + 1. Find f, given that -3*f**g + 5*f**3 + f**2 - 3*f**3 = 0.
0, 1
Let r(v) be the third derivative of -v**8/40320 + v**7/2520 - v**6/360 + v**5/60 - 2*v**2. Let o(s) be the third derivative of r(s). Factor o(m).
-(m - 2)**2/2
Let c(t) be the first derivative of 2*t**3/3 - 4*t**2 + 6*t + 1. Find p, given that c(p) = 0.
1, 3
Let g be (-1)/((-1)/(83/(-3))). Let j = 28 + g. Solve 0 - 2/3*q**4 - 1/3*q**5 + 2/3*q**2 + j*q + 0*q**3 = 0.
-1, 0, 1
Factor 2/13*x**5 + 0*x + 4/13*x**2 + 0 + 8/13*x**4 + 10/13*x**3.
2*x**2*(x + 1)**2*(x + 2)/13
Let y = 1457 - 13097/9. Determine b, given that -y*b + 10/9*b**2 - 8/9 = 0.
-2/5, 2
Let f = -44 + 49. Suppose 2*d + 8 = 0, 11 = -f*v - 3*d - 1. Factor v*l**4 - 1/4*l**5 + 0*l**2 + 1/4*l**3 + 0 + 0*l.
-l**3*(l - 1)*(l + 1)/4
Let d be 4*1*3/6. Let u be 0 + 4 + (-2)/d. Solve 8/7 + 90/7*k**2 - 8*k**u - 14*k**4 + 8*k = 0 for k.
-1, -2/7, 1
Factor s + 1/4*s**2 - 5/4.
(s - 1)*(s + 5)/4
Let l(d) be the second derivative of 1/40*d**5 - 3*d - 1/24*d**4 + 0 - 1/84*d**7 + 0*d**3 + 0*d**2 + 1/60*d**6. Find u, given that l(u) = 0.
-1, 0, 1
Factor -1/2 + 0*r + r**2 + 0*r**3 - 1/2*r**4.
-(r - 1)**2*(r + 1)**2/2
Let o be 6/(-4) - (-20)/8. Let g(i) = i**2 + i. Let q be g(o). Factor 6/7*b**q + 0 + 2/7*b.
2*b*(3*b + 1)/7
Suppose -4*c - 4 - 8 = 0. Let v = 5 + c. Find l such that v*l**5 - 2*l**3 - 3*l**3 + 3*l**3 = 0.
-1, 0, 1
Let x(j) = -3*j - 13. Let q be x(-5). Factor 0 + 1/4*y**q + 0*y.
y**2/4
Solve 16/3 - 8/3*x**3 + 8*x**2 - 32/3*x + 1/3*x**4 = 0 for x.
2
Let i(g) be the second derivative of 1/3*g**4 + 0 + 18*g**2 + 4*g**3 - g. Factor i(d).
4*(d + 3)**2
Factor 3 - v**2 - 2*v - 13 + 6*v**2 - 3*v.
5*(v - 2)*(v + 1)
Suppose 0 - 4/3*c**2 - 1/3*c**3 - 4/3*c = 0. Calculate c.
-2, 0
Let q(n) be the third derivative of n**5/30 + n**4/12 - 2*n**3/3 + 8*n**2. Factor q(x).
2*(x - 1)*(x + 2)
Let s(p) be the second derivative of -p**5/20 + 3*p**4/2 - 18*p**3 + 108*p**2 + 8*p + 2. Factor s(v).
-(v - 6)**3
Let h(p) be the third derivative of p**6/180 + p**5/450 - p**4/36 - p**3/45 + 2*p**2 - 8. Determine n so that h(n) = 0.
-1, -1/5, 1
Let z(d) be the first derivative of -1/3*d**3 - 1 + d**2 + 1/6*d**4 - 1/30*d**5 + 0*d. Let k(m) be the second derivative of z(m). Factor k(c).
-2*(c - 1)**2
Let b(x) = -x**2 - 8*x - 2. Let o be b(-8). Let i be 4/o + (-15)/(-3). Factor -t**3 + 1 + 0*t**4 + 5*t**i + t**4 + 11*t**2 - 5*t**2 + 4*t.
(t + 1)**4
Let k be (9/4)/((-108)/(-144)). Suppose 1/2*u**4 + 0*u**2 - u**k - 1/2 + u = 0. What is u?
-1, 1
Let i = 1324 + -11878/9. Let y = i + -32/9. Factor 0*d - 10/3*d**4 + 0 + 2/3*d**3 + y*d**2 + 2*d**5.
2*d**2*(d - 1)**2*(3*d + 1)/3
Let y(b) be the third derivative of 1/120*b**5 + 0 + b**2 - 1/24*b**4 + 0*b + 0*b**3. Factor y(u).
u*(u - 2)/2
Let k(r) be the second derivative of -1/78*r**4 + 6*r - 4/13*r**2 + 0 + 5/39*r**3. Let k(f) = 0. What is f?
1, 4
Let d = 253 - 12143/48. Let q(a) be the second derivative of 0*a**2 + 0 + 1/80*a**5 + 0*a**3 - d*a**4 - 2*a. Factor q(z).
z**2*(z - 1)/4
Let m be (-4)/(-3)*150/175. Suppose -40/7*d**3 + 0*d - m*d**2 - 50/7*d**4 + 0 = 0. Calculate d.
-2/5, 0
Let a(i) be the third derivative of 0*i + 0 - 1/240*i**5 + 1/16*i**4 + 2*i**2 - 3/8*i**3. Factor a(r).
-(r - 3)**2/4
Let d(v) be the third derivative of -v**8/1848 + v**7/231 - v**6/66 + v**5/33 - 5*v**4/132 + v**3/33 - 4*v**2. Factor d(z).
-2*(z - 1)**5/11
Let i(t) = -2*t**2 - 5*t + 52. Let d be i(4). Determine o so that 4/7*o**4 + 0*o**2 + d*o**3 + 0 + 0*o - 10/7*o**5 = 0.
0, 2/5
Let l = -5 - -8. Solve -2*c**2 + 0*c + 1 - 5*c + c - l = 0.
-1
Let b(k) be the third derivative of 3*k**7/70 + 7*k**6/160 - 29*k**5/240 - k**4/4 - k**3/6 + 2*k**2. Determine g, given that b(g) = 0.
-2/3, -1/4, 1
Suppose -2*k = -1 - 5. Let h be 1/k*(-1 + 13). Factor -4*r**2 - 45*r**h - 21*r**5 + 0*r**2 - 4*r**5 - 24*r**3.
-r**2*(r + 1)*(5*r + 2)**2
Let b be -1*1/1*(0 + -2). Determine d so that 1/4*d + 0 - 1/4*d**3 - 1/4*d**b + 1/4*d**4 = 0.
-1, 0, 1
Let h be (((-96)/90)/8)/((-2)/12). Suppose -2/5*m**2 - h*m**5 + 0*m + 0 + 0*m**3 + 6/5*m**4 = 0. Calculate m.
-1/2, 0, 1
Let b(v) = -4*v**3 + 8*v**2 - 9*v - 5. Suppose -5*y = -y - 8. Let a(w) = y*w**2 - 2*w**3 + 1 - 5*w - 4 + 2*w**2. Let m(n) = 5*a(n) - 3*b(n). Solve m(i) = 0.
0, 1
Let f be ((-1)/(-30))/((-8)/32). Let q = 4/5 + f. Solve -2*n - q*n**2 - 4/3 = 0.
-2, -1
Let y(c) be the first derivative of -5*c**4/16 + 13*c**3/12 - c**2/2 - c - 1. Factor y(q).
-(q - 2)*(q - 1)*(5*q + 2)/4
Factor 6 - 40*s**2 - 9 - 4*s**3 + 3 - 100*s.
-4*s*(s + 5)**2
Let y(a) be the third derivative of -a**5/150 - a**4/60 - a**2. Find v such that y(v) = 0.
-1, 0
Let 8 - 4*m**2 + 6*m**2 + 14*m**2 + 20*m**3 + 20*m**2 + 28*m + 4*m**4 = 0. What is m?
-2, -1
Let t(n) be the third derivative of n**8/4200 - n**7/2100 - n**6/900 + n**5/300 + n**3 + n**2. Let z(u) be the first derivative of t(u). Factor z(w).
2*w*(w - 1)**2*(w + 1)/5
Let c = -7 + 10. Suppose c + 5 = 2*r. Factor -3 - 3 - r*h - 2*h**2 + 4.
-2*(h + 1)**2
Let k = -72 - -74. Let x(j) be the first derivative of k - 2/3*j**3 + 0*j + j**2. Factor x(u).
-2*u*(u - 1)
Suppose 21 = -9*x + 4*x - q, 32 = -4*x + 3*q. Let i = -3 - x. Factor -2*h**4 - 2*h + 2*h**2 + 9 - 9 + i*h**3.
-2*h*(h - 1)**2*(h + 1)
Let m(q) be the first derivative of -5*q**6/12 + 3*q**5/2 - 15*q**4/8 + 5*q**3/6 + 5. Find d such that m(d) = 0.
0, 1
Let t be -3 - 6/(36/(-21)). Determine l, given that -1/4*l - t + 3/4*l**2 = 0.
-2/3, 1
Let j = -2 + 4. Let b be (-3)/2*(-88)/33. Solve 3*f**2 - 2 + b + j - f**2 - 6*f = 0 for f.
1, 2
Suppose -5/2*h**5 + 0 + 2*h**2 + 0*h - 13/2*h**4 - 2*h**3 = 0. Calculate h.
-2, -1, 0, 2/5
Let a(c) = -9*c**3 + 