*2 - l*f + 1/36*f**4. Factor k(b).
b**2/3
Suppose -3/4 + 1/4*u**3 - 1/4*u - u**4 + 7/4*u**2 = 0. What is u?
-1, -3/4, 1
What is y in -9*y**3 + 5*y**2 - 2*y - 3*y**4 + 3*y**5 + 0*y**4 - 4*y + 10*y**2 = 0?
-2, 0, 1
Suppose 4*v + 3 = -5. Let w be (-1)/v + 21/18. What is h in -w*h**3 + 1/3*h - h**4 + 0 - 1/3*h**2 = 0?
-1, 0, 1/3
Factor -15/7*i**3 + 12/7*i**4 + 0 + 3/7*i**2 + 0*i.
3*i**2*(i - 1)*(4*i - 1)/7
Let j(n) be the third derivative of -n**8/13440 + n**7/2520 - n**6/1440 + n**4/12 + 3*n**2. Let k(v) be the second derivative of j(v). Factor k(i).
-i*(i - 1)**2/2
Let g(m) = 2*m - 8. Let p be g(6). Factor 3*c**5 - 2*c**3 + 52*c**4 + 6*c**3 - 18*c**4 - 26*c**p.
c**3*(c + 2)*(3*c + 2)
Let u(j) be the second derivative of -j**6/6 - j**5 - 5*j**4/4 + 27*j. Factor u(p).
-5*p**2*(p + 1)*(p + 3)
Let d be (-3)/4*2*(3 - 5). Determine v so that -v + 1/2*v**4 + 0 + 5/2*v**2 - 2*v**d = 0.
0, 1, 2
Let w = 792/5 - 158. Determine l so that -2/5*l + 0 + 0*l**2 + w*l**3 = 0.
-1, 0, 1
Suppose -2*b - 2 = -8. Let i = b - 3. Factor i*w**3 - 1/4*w + 0 + 1/2*w**2 + 1/4*w**5 - 1/2*w**4.
w*(w - 1)**3*(w + 1)/4
Let l = 1 - 0. Let -w**2 + w - 3*w + 2*w - 2*w - l = 0. What is w?
-1
Suppose b = -3*b + 5*r + 41, -b = -r - 9. Factor 3*n**b - 3*n**2 + 4*n**2 - 5*n**5 - 2*n**2 + 3*n**5.
-n**2*(n - 1)**2*(2*n + 1)
Suppose 0 = -2*a + 3 + 3. Let z(w) be the first derivative of -1 + 0*w - 1/8*w**2 - 1/24*w**6 + 1/3*w**a + 1/5*w**5 - 3/8*w**4. Factor z(t).
-t*(t - 1)**4/4
Let o be 116/(-10) - 10/25. Let b be (o/108)/((-1)/3). Find i such that 0 + 1/3*i**2 + b*i - 1/3*i**4 - 1/3*i**3 = 0.
-1, 0, 1
Let r(m) = -m + 7. Let i be r(7). Suppose 0 = -0*k + 3*k. What is y in 2/5*y + k*y**2 + i - 2/5*y**3 = 0?
-1, 0, 1
Let h(b) be the third derivative of b**9/1080 - b**8/504 - b**7/2520 + b**6/180 + b**5/15 - b**2. Let r(k) be the third derivative of h(k). Factor r(p).
2*(2*p - 1)**2*(7*p + 2)
Let f = 6 - 3. Factor 2*y**3 + 3*y**2 + 3*y**2 + 4*y + 2*y - 1 + f.
2*(y + 1)**3
Find a, given that a + 4*a**2 + a - 6*a = 0.
0, 1
Let k be (-4)/(-16) - (-14)/8. Factor 0 - 2/5*d**k + 2/5*d.
-2*d*(d - 1)/5
Let a(s) = -3*s**3 + 22*s**2 - 40*s - 80. Let j(d) = 3*d**3 - 23*d**2 + 41*d + 79. Let w(x) = -4*a(x) - 5*j(x). Factor w(g).
-3*(g - 5)**2*(g + 1)
Let m(z) be the first derivative of -z**3/21 - z**2/7 - z/7 - 13. Let m(k) = 0. Calculate k.
-1
What is j in 2/15*j**5 + 0*j + 0 + 8/15*j**2 - 2/5*j**4 + 0*j**3 = 0?
-1, 0, 2
Let s(k) be the third derivative of -k**5/12 - 5*k**4/24 + 5*k**3/3 + 17*k**2. Let s(m) = 0. What is m?
-2, 1
Let t(w) be the first derivative of -3*w**4/2 + 10*w**3/3 - 2*w**2 - 4. Factor t(j).
-2*j*(j - 1)*(3*j - 2)
Let m(b) be the first derivative of 0*b**2 + 1/18*b**3 - b - 1/30*b**6 - 1 + 1/12*b**4 - 1/60*b**5. Let l(t) be the first derivative of m(t). Factor l(k).
-k*(k - 1)*(k + 1)*(3*k + 1)/3
Let h = 4 - 2. Solve -2*w**4 + w**5 + 4*w - 6*w**3 + 0*w**5 + 2*w**h + w**5 = 0.
-1, 0, 1, 2
Let a(q) be the third derivative of 8*q**7/105 - q**6/15 + q**5/60 + 3*q**2. Suppose a(z) = 0. What is z?
0, 1/4
Let l be 6*1/4 - (-45)/(-54). Factor 2/3*k**3 + 0 - 4/3*k**2 + l*k.
2*k*(k - 1)**2/3
Let i(t) be the first derivative of -9*t**5 - 25*t**4 - 65*t**3/3 - 5*t**2 + 6. Factor i(l).
-5*l*(l + 1)**2*(9*l + 2)
Let i = -2 + 8. Let s = -4 + i. Determine p so that -2/3 - 2/3*p**3 + 2/3*p**s + 2/3*p = 0.
-1, 1
Let f(j) be the third derivative of -1/2*j**3 + 0 - 2*j**2 + 0*j - 1/360*j**6 + 1/30*j**5 - 1/6*j**4. Let p(y) be the first derivative of f(y). Factor p(b).
-(b - 2)**2
Suppose -2/23*s**4 + 4/23*s**3 + 6/23*s**2 - 8/23 - 8/23*s = 0. Calculate s.
-1, 2
Factor -8 + 12 - 4 - 16*c + 2*c**2.
2*c*(c - 8)
Let t = -30 - -35. Suppose 9*w - 4*w = -m - 24, t*m = -w. Find p, given that -1/2*p - m + 1/2*p**2 = 0.
-1, 2
Suppose 4*s - 10 = -0*n - 2*n, 0 = 3*s - 3*n - 12. Suppose -4*x - 4*x**2 - 6*x + 6*x - x**s = 0. What is x?
-2, 0
Let s = -1964397/803 - -2552/73. Let u = s - -2413. Factor 0 + 14/11*r**4 + 0*r + 4/11*r**2 - u*r**3.
2*r**2*(r - 1)*(7*r - 2)/11
Let w(b) = -b - 12. Let d be w(-7). Let c be 8/160 + (-1)/d. Factor -1/4*j - c*j**2 + 0.
-j*(j + 1)/4
Suppose 5*t = -10, -a + 0*t = -4*t - 1. Let s(q) = -q - 3. Let v be s(a). Factor 4*y**5 + 4*y**v - y**5 - y**3 - 4*y**2 - 2*y - y**2 + y**4.
y*(y - 1)*(y + 1)**2*(3*y + 2)
Determine s, given that 4*s**3 + 0*s + 5*s**4 - 9*s**4 + 4*s**2 - 4*s = 0.
-1, 0, 1
Let x(b) be the first derivative of -b**8/7560 + b**6/1620 + 5*b**3/3 - 4. Let v(g) be the third derivative of x(g). Let v(o) = 0. Calculate o.
-1, 0, 1
Let q = 6/7 - 17/28. Let a(r) be the first derivative of 1/4*r - q*r**2 + 1/12*r**3 - 1. Solve a(k) = 0.
1
Let d = 68/105 - -2/105. Let p be (-20)/12 - (-1 + -1). Factor p*g**3 - 1/3*g**2 + 0 - d*g.
g*(g - 2)*(g + 1)/3
Let v be (-4)/10*(-1 - (-28)/(-7)). Let 4/3*l - 1/3*l**v - 4/3 = 0. Calculate l.
2
Let u be ((8 - -1)/9)/((-14)/(-4)). Solve 0*g - 2/7*g**3 - u*g**2 + 0 = 0 for g.
-1, 0
Suppose -49*c = -44*c - 15. Factor -9/2*o**4 - 3*o**c + 0*o - 1/2*o**2 + 0 - 2*o**5.
-o**2*(o + 1)**2*(4*o + 1)/2
Let f(u) = -u**2 - 20*u - 16. Let n be f(-19). Factor 0 - 2/9*i**n - 2/9*i + 4/9*i**2.
-2*i*(i - 1)**2/9
Let j(u) be the first derivative of -4*u**3/3 + 2. What is s in j(s) = 0?
0
Let w = -61 - -185/3. Determine u so that w + 0*u - 2/3*u**2 = 0.
-1, 1
Let d(h) be the second derivative of -h**4/78 + 4*h**3/39 - 4*h**2/13 - 2*h. Find q, given that d(q) = 0.
2
Let b(h) = h**3 + 12*h**2 + 11*h + 2. Let l be b(-11). Factor 38*f**3 + 2*f**4 - 40*f**3 + 0*f**5 - l*f**2 + 2*f**5.
2*f**2*(f - 1)*(f + 1)**2
Let -56/3*v**2 + 56/3*v**4 + 30*v**5 - 8/3*v + 0 - 82/3*v**3 = 0. What is v?
-1, -2/5, -2/9, 0, 1
Find f, given that 9*f**2 + 11*f**2 + 12*f + 8*f**3 - 3 - 2*f**3 - 35*f**2 = 0.
1/2, 1
Let l(r) be the third derivative of -r**5/20 - 4*r**4/5 - 6*r**3/5 + 14*r**2. Factor l(p).
-3*(p + 6)*(5*p + 2)/5
Let j(h) be the third derivative of 9*h**7/70 + 3*h**6/5 + 13*h**5/20 + h**4/4 - 3*h**2. Factor j(b).
3*b*(b + 2)*(3*b + 1)**2
Suppose -p - 3*p + 6 = -o, 0 = -3*p - 5*o + 16. Suppose -5*a + p*a + 12 = 0. Factor -m**4 + 4*m**4 - 4*m**4 - 2*m**3 - m**a.
-2*m**3*(m + 1)
Factor 2/7*c**2 + 0 + 2/7*c - 2/7*c**4 - 2/7*c**3.
-2*c*(c - 1)*(c + 1)**2/7
Let q be (-8)/(24/(-23)) - 7. Factor q*u**2 + 2/3*u + 0.
2*u*(u + 1)/3
Solve 0*c + 3/4*c**3 + 7/4*c**5 + 0 - 1/2*c**2 + 3*c**4 = 0.
-1, 0, 2/7
Solve 110*f**2 + 16*f + 212*f**4 + 114*f**3 + 56*f**5 + 2*f**2 + 138*f**3 = 0.
-2, -1, -1/2, -2/7, 0
Let m be 84/24*(3 + -1) + -7. Factor 1/3*n**3 + m*n + 0 + 2/3*n**2.
n**2*(n + 2)/3
Let f = -148810/207597 - 6/5323. Let c = 18/13 + f. Find a such that 4/3*a**3 + 0*a**2 - 2/3*a**5 - c*a + 0 + 0*a**4 = 0.
-1, 0, 1
Determine m, given that -12/5 - 2/5*m + 2/5*m**2 = 0.
-2, 3
Let h(r) be the second derivative of r**7/1260 - r**5/60 - 5*r**4/12 + 2*r. Let t(w) be the third derivative of h(w). Factor t(g).
2*(g - 1)*(g + 1)
Let v(d) be the second derivative of -d**5/90 - d**4/27 - 11*d. Factor v(l).
-2*l**2*(l + 2)/9
Let v(b) = 2*b**2 + 6*b - 8. Let n(p) = -p**2 - 3*p + 4. Let i(r) = 9*n(r) + 4*v(r). Find l such that i(l) = 0.
-4, 1
Let g(z) = -1. Let y(x) = 34*x**2 + 46*x - 32. Let h(s) = -4*g(s) - y(s). Let b(q) = 7*q**2 + 9*q - 7. Let o(a) = -16*b(a) - 3*h(a). Factor o(d).
-2*(d + 1)*(5*d - 2)
Let l(m) be the third derivative of -m**6/780 - m**5/195 - 10*m**2 - m. Factor l(r).
-2*r**2*(r + 2)/13
Let c = -9 + 7. Let d be (16/5 - 1) + c. Solve -d + 0*n + 1/5*n**2 = 0 for n.
-1, 1
Let a = -79/7 + 7038/623. Let t = 173/445 + a. What is g in 0 - t*g - 2/5*g**2 = 0?
-1, 0
Let o(f) be the first derivative of -f**3/3 + 3*f**2/2 - 2. Factor o(v).
-v*(v - 3)
Factor -2/5*x**3 - 2/5*x**2 + 2/5*x + 0 + 2/5*x**4.
2*x*(x - 1)**2*(x + 1)/5
Let y be (-3 - 6)*(-3)/(-1). Let j = y - -29. Find b such that -12/7*b**3 - 8/7*b**4 + 0 - 2/7*b - 8/7*b**j - 2/7*b**5 = 0.
-1, 0
Let m be 6/18 - (-10)/6. Let z(g) be the second derivative of 1/6*g**4 + 0 - 1/15*g**6 + 2*g + 1/42*g**7 - 1/6*g**3 + 0*g**5 + 0*g**m. Factor z(l).
l*(l - 1)**3*(l + 1)
Let z(y) be the first derivative of y**5/120 - y**4/72 - 4*y + 3. Let k(u) be the first derivative of z(u). Find i such that k(i) = 0.
0, 1
Let t = 98 + -70. Let q = 31 - t. Factor -1/2*r**q - 1 + 1/2*r + r**2.
-(r - 2)*(r - 1)*(r + 1)/2
Find h such that 0 - 2/3*h + 1/3*h**2