 1)*(f + 1)
Let b = -16 + 19. Let c be 8*2/(-6) + b. Factor 0*q**2 + 0 - c*q**3 + 1/3*q.
-q*(q - 1)*(q + 1)/3
Let m(c) = 6*c**3 + 6*c**2 - 13*c - 13. Suppose 35 = b - 6*b. Let f(p) = -4*p**3 - 4*p**2 + 9*p + 9. Let x(r) = b*f(r) - 5*m(r). Find d such that x(d) = 0.
-1, 1
Let a(w) = 7*w**3 - 5*w**2 + 6. Let j(k) = 6*k**3 - 4 + k**2 + 9 + k**2 - 6*k**2. Let m(h) = 5*a(h) - 6*j(h). What is f in m(f) = 0?
-1, 0
What is m in -10/9*m + 22/9*m**3 + 4/9 - 4/3*m**4 - 4/9*m**2 = 0?
-2/3, 1/2, 1
Let u(y) be the third derivative of -y**6/30 - y**5/3 - 7*y**4/6 - 2*y**3 - 6*y**2. Determine j, given that u(j) = 0.
-3, -1
Factor i + 3/2*i**3 + 7/2*i**2 + 0.
i*(i + 2)*(3*i + 1)/2
Let d = 149 - 593/4. Let q(b) be the first derivative of 1/4*b**2 - d*b**3 + 2 - 1/4*b**5 + 3/4*b**4 + 0*b. Determine g so that q(g) = 0.
0, 2/5, 1
Factor 30*l**5 - 35*l**5 - 2*l**3 - 5*l**4 + 12*l**3.
-5*l**3*(l - 1)*(l + 2)
Factor -12*h**2 - 16/3 - 40/3*h - 2/3*h**4 - 14/3*h**3.
-2*(h + 1)*(h + 2)**3/3
Suppose 7*q = 2*q + 15. Factor q + 8*l + 15*l**2 + 7*l - 3*l**2.
3*(l + 1)*(4*l + 1)
Let p(c) = -c + 10. Let m be p(8). Suppose 73 = 3*i - 2*j + 7, 3*i - 60 = 4*j. Factor i*f + 23*f**2 - 8*f**2 + 4 + 30*f**m + 25*f**3.
(f + 1)*(5*f + 2)**2
Let c(l) = -l**2 + l. Let q(o) = -25*o**5 - 90*o**4 - 110*o**3 - 36*o**2 + 11*o + 10. Let t(k) = -4*c(k) - q(k). Solve t(h) = 0 for h.
-1, 2/5
Let w(r) be the first derivative of 81*r**5/25 + 27*r**4/5 + 18*r**3/5 + 6*r**2/5 + r/5 + 19. Factor w(z).
(3*z + 1)**4/5
Let o(w) be the third derivative of w**8/84 - 2*w**7/105 - w**6/15 + 2*w**5/15 + w**4/6 - 2*w**3/3 + 14*w**2. Let o(i) = 0. Calculate i.
-1, 1
Let n(s) = s**3 - 4*s**2 + 3*s - 2. Let a be n(2). Let r be a/18*(-6)/4. Suppose -r*u**3 - 4/3*u**2 - 2/3 - 5/3*u = 0. What is u?
-2, -1
Let l(b) = -b + 2. Let s be l(-3). Let g(z) = 3*z**2 - z. Let v(y) = 3*y**2 - 2*y. Let x(w) = s*g(w) - 4*v(w). Factor x(n).
3*n*(n + 1)
Let u be 8/(-6)*(-30)/(-20). Let n be 14/(-8) + (u - -4). Suppose -3/4*j**2 + 3/4*j + 1/4*j**3 - n = 0. What is j?
1
Let o(r) be the second derivative of -r**6/10 + 9*r**5/20 - 2*r**3 + 14*r. Factor o(v).
-3*v*(v - 2)**2*(v + 1)
Solve 3*g**4 - 8*g**3 + 24*g + 0*g**2 + 0*g**2 + 2*g**3 - 12 - 9*g**2 = 0 for g.
-2, 1, 2
Factor 2/7*y**2 + 2/7*y**3 - 2/7*y**4 - 2/7*y + 0.
-2*y*(y - 1)**2*(y + 1)/7
Let r(n) be the second derivative of n**5/90 + n**4/24 + n**3/18 + n**2 - n. Let d(p) be the first derivative of r(p). Factor d(j).
(j + 1)*(2*j + 1)/3
Let v(r) = 3*r**3 + 11*r**2 + 12 - 2 - 2*r**3 + 4*r + 7*r. Let i be v(-10). What is u in 0*u**4 - 2/5*u**5 + i*u**2 + 0 + 0*u + 0*u**3 = 0?
0
Let o(f) = -f**2 + 4*f - 4. Let t(k) be the first derivative of 2*k**3/3 - 4*k**2 + 8*k - 1. Let h(n) = -5*o(n) - 2*t(n). Factor h(s).
(s - 2)**2
What is i in -11 + 34*i**2 + 11 + 5*i**3 - 104*i**2 = 0?
0, 14
Let k(l) = 8*l - 8. Let q be k(1). Let v(c) be the second derivative of -1/40*c**5 - c + q - 1/24*c**4 + 1/12*c**3 + 1/4*c**2. Factor v(z).
-(z - 1)*(z + 1)**2/2
Let h = 3228/1015 - -4/203. Solve 32/5*k**2 + h*k + 2/5 = 0.
-1/4
Suppose -g - 5 = -5*b, -4*b + 5 = 3*g - 4*g. Let y be (98/35)/((-1)/g). Factor 5*k**2 + 13*k**4 + 2*k**4 - y*k**2 - 21*k**3 + 0 - 6 + 21*k.
3*(k - 1)**2*(k + 1)*(5*k - 2)
Suppose 0*t - 3 = -t. Let a(v) be the second derivative of 1/24*v**4 + 0 + 0*v**t + 0*v**2 + v. Factor a(l).
l**2/2
Let k(a) be the first derivative of a**6/900 - a**4/60 - a**3 + 4. Let n(z) be the third derivative of k(z). Factor n(j).
2*(j - 1)*(j + 1)/5
Let i be 76/80 - (-6)/(-30). Solve -m**3 - i*m**2 + 0 + 1/4*m = 0.
-1, 0, 1/4
Let l(k) = -k**2 + 4*k. Let r be l(0). Suppose r - 1/4*b**3 - 1/2*b**2 + 0*b = 0. Calculate b.
-2, 0
Suppose 4*b = 5*l - 32, -4*l + 2*b + 26 = l. Let r(z) be the third derivative of 0*z - 1/25*z**5 + 0 - 1/30*z**l - z**2 - 3/200*z**6 + 0*z**3. Factor r(h).
-h*(3*h + 2)**2/5
Let t(c) = -3*c**3 + c**2 + c. Let n be t(-1). Suppose 0 = 2*u - 4*f - 12, u - 2 - 7 = n*f. Factor 12/5*k + u + 3*k**3 + 24/5*k**2 + 3/5*k**4.
3*k*(k + 1)*(k + 2)**2/5
Factor c - c**2 - c + 2 - c.
-(c - 1)*(c + 2)
Factor 14*h**2 + h**4 + 11*h**4 - 14*h**2 + 3*h**5 + 12*h**3.
3*h**3*(h + 2)**2
Suppose 5*i**4 + 48*i - 12*i**3 + 32 + i**4 + 8*i**2 - 5*i**4 - 5*i**4 = 0. Calculate i.
-2, -1, 2
Let z(m) = m**5 + m**4 + m**3 + m**2 + m + 1. Let w(g) = 3*g**5 + 9*g**4 + 21*g**3 + 27*g**2 + 18*g + 6. Let i(n) = 3*w(n) - 6*z(n). Factor i(o).
3*(o + 1)**3*(o + 2)**2
Let x(l) = l**4 + 12*l**3 - 16*l - 5. Let t(w) = w - 1. Let i be t(3). Let o(s) = -6*s**3 + 8*s + 2. Let c(q) = i*x(q) + 5*o(q). Factor c(r).
2*r*(r - 2)**2*(r + 1)
Factor -10*d**3 - d**5 + 11*d**3 - 2*d**2 + d**4 + d**2.
-d**2*(d - 1)**2*(d + 1)
Let f(i) be the first derivative of -i**6/21 + 4*i**5/35 - 4*i**3/21 + i**2/7 - 3. Determine s so that f(s) = 0.
-1, 0, 1
Suppose -5*t - 88 = -103. Let i(p) be the third derivative of 1/30*p**5 + 1/4*p**4 + 0 - 3*p**2 + 2/3*p**t + 0*p. Factor i(f).
2*(f + 1)*(f + 2)
Let d(c) = -c**3 + 5*c**2 - 3*c - 4. Let i be d(4). Let a be (12/36)/((-15)/(-9))*2. Let 2/5*o**3 - a*o + 0 + i*o**2 = 0. What is o?
-1, 0, 1
Factor 6*b**4 + 20*b**2 + 19*b**4 + 5*b**5 - 102*b**3 + 142*b**3.
5*b**2*(b + 1)*(b + 2)**2
Suppose i - 2*i = 4*w - 13, 2*w + 4*i = 10. Determine d so that -5*d - d + 3*d - w - 3 + 3*d**2 = 0.
-1, 2
Let l(z) = -z**2 + 3*z + 5. Let o be l(4). Suppose 2 + o = v. Let 2/3*y**v + 2*y + 2*y**2 + 2/3 = 0. Calculate y.
-1
Let y(s) be the second derivative of 3*s - 1/3*s**3 + 1/18*s**4 + 2/3*s**2 + 0. Factor y(k).
2*(k - 2)*(k - 1)/3
Let n(a) be the second derivative of -a**10/15120 - a**9/3780 + a**7/630 + a**6/360 + 5*a**4/12 - 2*a. Let v(u) be the third derivative of n(u). Factor v(s).
-2*s*(s - 1)*(s + 1)**3
Let o be ((-4)/6)/(10/(-45)). Suppose o*f + j - 13 = 0, 4*f + 2*j - 9 - 11 = 0. Factor 3*i**4 + i**2 - 4*i**4 - 8*i**f + i + 7*i**3.
-i*(i - 1)*(i + 1)**2
Find a such that -8 + 5 - 3*a**2 - a**3 + 7 = 0.
-2, 1
Let q(d) be the third derivative of 1/1050*d**7 + d**2 + 0*d**3 - 1/600*d**6 + 1/120*d**4 + 0*d - 1/300*d**5 + 0. Suppose q(w) = 0. Calculate w.
-1, 0, 1
Let u(r) be the second derivative of 1/60*r**5 + 0 + 0*r**2 - 1/18*r**4 - 3*r + 1/18*r**3. Factor u(z).
z*(z - 1)**2/3
Let t(u) be the third derivative of -u**7/105 + u**5/15 - u**3/3 + 8*u**2. Suppose t(d) = 0. Calculate d.
-1, 1
Let r(k) be the first derivative of -4*k**5/5 + k**4 + 8*k**3 - 8*k**2 - 32*k + 1. Factor r(n).
-4*(n - 2)**2*(n + 1)*(n + 2)
Let n be 5 + 3 + (-1 - 5). Factor -n*x**4 - 1 - 3 + 4.
-2*x**4
Let s(g) be the second derivative of g**7/105 - 2*g**6/75 + g**4/15 - g**3/15 + 7*g. Factor s(f).
2*f*(f - 1)**3*(f + 1)/5
Let p(v) be the third derivative of v**6/60 + v**5/6 + 2*v**4/3 + 4*v**3/3 + 16*v**2. Solve p(f) = 0.
-2, -1
Determine u so that -29*u**3 + 10*u**3 - 2*u**4 + 17*u**3 + 4*u**2 = 0.
-2, 0, 1
Let r = -132 + 134. Solve 0 - 2/3*i**r + 2/3*i = 0 for i.
0, 1
Let o(q) be the third derivative of 0*q**3 - 7/15*q**5 + 0*q - 1/3*q**4 - 9*q**2 - 3/10*q**6 + 0 - 1/84*q**8 - 2/21*q**7. Solve o(j) = 0 for j.
-2, -1, 0
Factor 6/7*h + 8/7 - 2/7*h**2.
-2*(h - 4)*(h + 1)/7
Let f(i) = 6*i**5 + 30*i**4 + 84*i**3 + 78*i**2 + 3*i - 3. Let r(j) = -7*j**5 - 31*j**4 - 85*j**3 - 77*j**2 - 4*j + 4. Let l(o) = -4*f(o) - 3*r(o). Factor l(a).
-3*a**2*(a + 3)**3
Suppose -3*b - 5*z - 20 = 0, -5*z = -z + 16. Suppose 1/5*l**2 - 1/5 + b*l = 0. What is l?
-1, 1
Suppose 0 = -0*d - 3*d + 12. Suppose -d = -n - 2. Find j such that 52*j**5 - 486*j**4 - 8*j**n - 781*j**5 - 152*j**3 + 44*j**3 = 0.
-2/9, 0
Let q(a) be the second derivative of -5*a**7/21 + 2*a**6/15 + 3*a**5/2 + 2*a**4/3 - 4*a**3/3 + 3*a. Find f such that q(f) = 0.
-1, 0, 2/5, 2
Suppose -l + 8 - 6 = 0. Solve -l*s**2 + 2*s - s + s = 0.
0, 1
Factor 2*o**2 + 2/7 - 6/7*o**3 - 10/7*o.
-2*(o - 1)**2*(3*o - 1)/7
Let o = 293 + -293. Let o*f + 1/4*f**3 + 0 + 1/2*f**2 - 1/4*f**5 - 1/2*f**4 = 0. What is f?
-2, -1, 0, 1
Let 2/5*p**2 + 0 + 4/5*p = 0. What is p?
-2, 0
What is s in 4*s**2 - 2*s**4 - 2 + s**5 - 18*s - 2*s**5 + 2*s**3 + 17*s = 0?
-2, -1, 1
Factor -15*v**3 + 16*v**2 - 2 + 7*v - 1 - 5*v**2.
-(v - 1)*(3*v - 1)*(5*v + 3)
Let l(r) be the third derivative of r**8/1680 - r**7/210 + 3*r**6/200 - 7*r**5/300 + r**4/60 - 2*r**2. Factor l(m).
m*(m - 2)*(m - 1)**3/5
Let c(i) = -80*i**4 + 80*i**2 - 55*i + 55. Let