) = -14*m(l) + 2*x(l). Factor z(f).
-2*f*(f - 1)**3*(f + 1)
Let 2/5 + 1/5*w**2 + 3/5*w = 0. Calculate w.
-2, -1
Factor 88*g - 83*g - 4*g**2 - g**2.
-5*g*(g - 1)
Let w = -6 - -8. Suppose -4*g = -5*g + w. Suppose 24/7*t + 12/7*t**g + 16/7 + 2/7*t**3 = 0. What is t?
-2
Let j = -8 + 10. Suppose 2*y + 3*y = 15. Factor 2*v - 3*v + v**4 + v**y + 2*v**j - 3*v**2.
v*(v - 1)*(v + 1)**2
Let j(c) be the third derivative of -c**5/210 + c**4/42 + c**3/7 + c**2. What is a in j(a) = 0?
-1, 3
Factor 3*s**2 + 4*s - 7*s - 9*s.
3*s*(s - 4)
Let w be 1 + 0 - (-2 + -3). Suppose -2*p - 15 = -5*p. Factor x**3 - 4*x**4 + 3*x**3 - w*x**3 - 2*x**p.
-2*x**3*(x + 1)**2
Suppose -3*d - d = -5*r + 7, d - r + 1 = 0. Factor 10*k + 3*k**3 - 3*k**2 - 4 + 5*k - 9*k**2 - d.
3*(k - 2)*(k - 1)**2
Let w be 124/28 - 6/14. Let o(q) be the second derivative of 1/40*q**5 + 0*q**3 - 1/60*q**6 + 3*q + 0*q**w + 0 + 0*q**2. Determine p, given that o(p) = 0.
0, 1
Let a(d) = -37*d**3 + 8*d**2 + 47*d + d**2 - 2*d**2 - 17. Let v(w) = 55*w**3 - 10*w**2 - 71*w + 26. Let q(k) = -8*a(k) - 5*v(k). Suppose q(m) = 0. What is m?
-1, 2/7, 1
Let z = 47 - 44. Factor -6/11*g + 24/11*g**2 - 14/11*g**z - 4/11.
-2*(g - 1)**2*(7*g + 2)/11
Let l(g) = -7*g**4 + 13*g**3 - 8*g**2 - 5. Let j(i) = -4*i**4 + 7*i**3 - 4*i**2 - 3. Let o(v) = -10*j(v) + 6*l(v). Suppose o(f) = 0. Calculate f.
0, 2
Let w(q) = 6*q**4 - 3*q**3 + 5*q**2 - 2*q + 4. Let i(m) = -m**4 + m**3 - m**2 - 1. Let y = -7 + 5. Let v(l) = y*w(l) - 10*i(l). Factor v(o).
-2*(o - 1)*(o + 1)**3
Let f(r) be the first derivative of -r**5/15 + r**4/4 - r**3/3 + r**2/6 - 30. Factor f(k).
-k*(k - 1)**3/3
Let p = 6 + -4. Suppose -3*a**3 + 5*a**3 + 2*a**2 - p + a - 8*a**2 + 5*a = 0. Calculate a.
1
Let c(r) be the third derivative of -r**10/151200 + r**9/30240 - r**7/2520 + r**6/720 - r**5/20 - 3*r**2. Let d(k) be the third derivative of c(k). Factor d(m).
-(m - 1)**3*(m + 1)
Factor 4*y**2 - 6 + 0*y - 9*y + y + 10.
4*(y - 1)**2
Let d = 256 - 254. Factor 49/3*w**4 - 42*w**3 - 8/3*w + 0 + 20*w**d.
w*(w - 2)*(7*w - 2)**2/3
Let b(i) be the second derivative of 0*i**3 - 4*i + 0*i**2 - 1/4*i**4 + 0 + 1/10*i**5 + 1/30*i**6. Factor b(r).
r**2*(r - 1)*(r + 3)
Let y(a) = -2*a + 20. Let w be y(10). Factor w*z - 1/4*z**4 + 0*z**3 + 1/2*z**2 - 1/4.
-(z - 1)**2*(z + 1)**2/4
Factor -12/5 + 36/5*d - 27/5*d**2.
-3*(3*d - 2)**2/5
Factor -s**5 - 3*s**4 - 14*s + 0*s**4 + 14*s + 4*s**2.
-s**2*(s - 1)*(s + 2)**2
Let 2/11*f**3 + 24/11*f - 16/11 - 12/11*f**2 = 0. Calculate f.
2
Suppose 0 = -n - 4*w, -n = 4*n + 5*w. Let z(s) be the first derivative of -2 + 1/4*s**4 - 1/5*s**5 + 1/3*s**3 + n*s**2 + 0*s - 1/6*s**6. Factor z(l).
-l**2*(l - 1)*(l + 1)**2
Let o(i) be the second derivative of -14*i**6/15 - 8*i**5 - 23*i**4/3 + 20*i**3/3 + 38*i. Let o(j) = 0. What is j?
-5, -1, 0, 2/7
Let t(m) = 12*m**2 + 8*m + 7. Let u(w) be the third derivative of -w**2 - 1/3*w**3 + 0*w - 1/12*w**4 + 0 - 1/20*w**5. Let y(h) = 6*t(h) + 22*u(h). Factor y(f).
2*(f + 1)*(3*f - 1)
Let c(i) be the second derivative of i**7/2520 + i**6/540 - i**5/360 - i**4/36 - 2*i**3/3 + 4*i. Let u(q) be the second derivative of c(q). Factor u(t).
(t - 1)*(t + 1)*(t + 2)/3
Let m(b) be the first derivative of -b**8/336 + b**6/60 - b**4/24 + b**2/2 - 2. Let u(r) be the second derivative of m(r). Determine i, given that u(i) = 0.
-1, 0, 1
Let c(t) = -6*t**5 - 5*t**4 + 3*t**3 + 2*t**2 - 3*t. Let w(q) = -13*q**5 - 11*q**4 + 6*q**3 + 4*q**2 - 7*q. Let x(v) = -7*c(v) + 3*w(v). Solve x(z) = 0 for z.
-1, -2/3, 0, 1
Let c be (-12)/(-18) - (-122)/(-48). Let h = c + 27/8. Factor -1/2*m**3 + 0 - h*m**2 - m.
-m*(m + 1)*(m + 2)/2
Let y = -29 + 29. Determine f, given that -2/3*f**4 - 2/3 + 0*f + 4/3*f**2 + y*f**3 = 0.
-1, 1
Let m(r) be the second derivative of -r**6/180 + r**5/60 - r**3/18 + r**2/12 + r. Determine k so that m(k) = 0.
-1, 1
Factor 0*n + 0 + 0*n**2 + 2/13*n**5 - 2/13*n**3 + 0*n**4.
2*n**3*(n - 1)*(n + 1)/13
Suppose 2*g = 5*g - 9*g. Find f, given that 1/4*f**3 + 3/2*f**2 + 9/4*f + g = 0.
-3, 0
Let v(w) be the third derivative of 0*w + 0*w**3 + 3*w**2 + 0 + 0*w**4 + 1/100*w**5. Let v(y) = 0. Calculate y.
0
Let u(p) be the first derivative of -1/8*p**4 - 1/12*p**3 + 1/4*p**2 + 1/20*p**5 + 2 + 0*p. Factor u(j).
j*(j - 2)*(j - 1)*(j + 1)/4
Let l(k) be the second derivative of 3/8*k**2 + 0 - 1/16*k**4 + k - 3/80*k**5 + 1/8*k**3. Let l(h) = 0. Calculate h.
-1, 1
Factor -j**3 - 5*j**4 + j**5 - 6*j**4 + 9*j**4 + 2*j**2.
j**2*(j - 2)*(j - 1)*(j + 1)
Suppose 7*g - 6 = 4*g, 4*m - 8 = -4*g. Factor 4*z + m*z**2 + 3*z**2 - 4*z.
3*z**2
Let f be 1/(-4) - 75/(-12). Let b be -2*f/8*-2. Determine h so that -h**2 - 3*h**2 + b*h**2 = 0.
0
Suppose 2 + 0 = x. Factor 5*q - 10 + 2*q**x + 14 - 11*q.
2*(q - 2)*(q - 1)
Let x = -12 - -18. Factor -2*r**2 + x - 2*r**3 + 7*r + 3*r + 6*r**2 - 2*r**2.
-2*(r - 3)*(r + 1)**2
Let i be (-416)/(-672) - 4/14. Find o such that i*o + 1/3*o**2 + 0 = 0.
-1, 0
Let l(s) = -s**2 + 3*s + 10. Let d be l(5). Find u, given that 4*u**4 - 7*u**2 - 2*u + 4*u**5 + 3*u**2 - 2*u**5 + d*u**5 = 0.
-1, 0, 1
Let x be (-24)/60*(-1)/2. Factor 1/5*k**2 - 3/5*k + 3/5*k**3 - x.
(k - 1)*(k + 1)*(3*k + 1)/5
Solve -2/3*s**2 + 1/3*s - 1/3*s**3 + 2/3 = 0.
-2, -1, 1
Let d(n) = -n**3 + 4*n**2 + 5*n + 2. Let l be d(5). Factor 2*x**2 + x**l + 12*x - 4 - 6*x**2 - 2*x**2.
-(x - 2)*(5*x - 2)
Let d = 166/5 - 29. Factor 9/5*l**5 - 3/5*l + 2*l**3 + 1/5 + d*l**4 - 6/5*l**2.
(l + 1)**3*(3*l - 1)**2/5
Suppose -3*y + 23 = 8. Determine i so that 2*i**2 + 0*i**2 - y*i + 0*i**2 + i = 0.
0, 2
Suppose 0*w - 4/7*w**4 + 0 - 2/7*w**5 + 0*w**2 + 0*w**3 = 0. Calculate w.
-2, 0
Let c = -6 + 6. Let s be 8 + -9 - (c - 1). Factor 4/5*o**3 + 2/5*o**2 - 6/5*o**4 + 0*o + s.
-2*o**2*(o - 1)*(3*o + 1)/5
Let t be (-4)/(-16) + 30/8. Suppose 0 = -6*p + 3*p + t*w - 11, -3*p + 2*w = 1. Suppose -z + 6*z - 3*z - 5*z**2 + 3*z**p = 0. What is z?
0, 2/3, 1
Let h(x) = -39*x**2 + 90*x - 51. Let v(o) = o**3 - 13*o**2 - 16*o + 1. Let d be v(14). Let u(j) = 3*j**2 - 7*j + 4. Let c(b) = d*u(b) - 2*h(b). Factor c(p).
-3*(p - 2)*(p - 1)
Let c be ((-105)/10)/3 - -4. Determine q so that -1 + 1/2*q**2 + c*q = 0.
-2, 1
Let h(i) = 7*i**2 - 10*i + 2 - 6*i**2 + 0*i**2. Let u be h(10). Determine t, given that 3*t + t**3 - 6*t**u + t**3 - t**3 + 2*t**3 = 0.
0, 1
Let p(g) be the second derivative of 3*g**3 + 2*g - 1/4*g**4 + 0 - 27/2*g**2. Find f, given that p(f) = 0.
3
Let l = -21 - -25. Let x(w) be the third derivative of 0*w - 49/180*w**6 + 0*w**3 + w**2 - 1/9*w**l + 0 + 14/45*w**5. Let x(m) = 0. What is m?
0, 2/7
Suppose 4*k = k. Suppose -3 = -j - k. Let -2*v**j + 2*v + v**3 - 2*v**3 + v**3 = 0. What is v?
-1, 0, 1
Let k be 1 + 9 + -1 + 3. Suppose -3*a = -0*a - k. What is p in -2*p + 4*p**4 + 0*p + 2*p**3 - 2*p**a - 2*p**2 = 0?
-1, 0, 1
Let i = 58/9 - 272/45. Let m(q) be the third derivative of -7/60*q**6 - 2/3*q**3 - 3*q**2 - 1/4*q**4 + 0 + i*q**5 + 0*q. Find s such that m(s) = 0.
-2/7, 1
Let r(u) be the first derivative of 2*u**3/45 - u**2/15 + 1. Determine p, given that r(p) = 0.
0, 1
Let j be (42/49)/(30/28). Factor -2/5 - 2/5*i**4 + 0*i + 0*i**3 + j*i**2.
-2*(i - 1)**2*(i + 1)**2/5
Let t(p) = p**3 + 4*p**2 + 3*p. Let a be t(-2). Determine y, given that -y**2 - a*y**2 + 2*y**2 + y = 0.
0, 1
Suppose -10 = -3*i + 2*v, 9*v + 25 = 2*i + 4*v. What is a in 0 + 2/7*a**5 + i*a + 2/7*a**4 + 0*a**2 + 0*a**3 = 0?
-1, 0
Factor -18*g**5 + 104*g**4 + 6*g**2 + 3*g**2 - 10*g**5 - 41*g**2 - 80*g**3.
-4*g**2*(g - 2)**2*(7*g + 2)
Suppose 2*k + 2*k - 16 = 0. Suppose 3*a = k*w + 4, -w - a + 1 = -5. Factor -2*j**2 + w + j**2 - j - j**2 + j**3.
(j - 2)*(j - 1)*(j + 1)
Let l(i) be the third derivative of 0*i + 0 - 1/3*i**3 + 2*i**2 + 1/3*i**4 - 1/10*i**5. Factor l(h).
-2*(h - 1)*(3*h - 1)
Let g = -1 + 8. Suppose 2 = 3*q - g. Factor -2*c**3 - 2*c**3 + 2*c + 0*c + 2*c**q.
-2*c*(c - 1)*(c + 1)
Let l = 79 - 629/8. Let r(x) be the first derivative of -l*x**6 - 2 - 11/12*x**3 + 7/16*x**4 + 11/20*x**5 + 0*x + 1/4*x**2. Let r(w) = 0. What is w?
-1, 0, 2/9, 1
Suppose 2*f = -5 + 37. Let v be (f/(-28))/(4/(-2)). Factor -2/7*t + 2/7*t**3 + 2/7*t**2 - v.
2*(t - 1)*(t + 1)**2/7
Factor -j + j**3 + j + 4*j**2 - 9*j**3.
-4*j**2*(2*j - 1)
Let d(o) be the second derivative of o**4/18 - 8*o**3/9 + 16*o**2/3 - 5*o. Suppose d(i) = 0. Calculate i.
4
