 m(c).
2*c*(c - 1)**2*(c + 1)**2/7
Suppose 10 = 5*m - 5*a - 10, -a + 14 = 5*m. Suppose 2*q - 2 - 4 = 0. Factor -13/3*l**m - q*l**5 + 2/3*l**2 + 0 + 20/3*l**4 + 0*l.
-l**2*(l - 1)**2*(9*l - 2)/3
Find p such that 4/5*p**4 + 4/5*p + 12/5*p**2 + 0 + 12/5*p**3 = 0.
-1, 0
Let i be ((-10)/(-25))/((-1)/(-25)). Suppose -2 = -v - 5*d, 4*v - 5*d = -v + i. Factor -2/5*p**4 - 4/5*p + 4/5*p**3 + 0*p**v + 2/5.
-2*(p - 1)**3*(p + 1)/5
Factor -2/9*x**4 + 0 + 0*x**3 + 4/9*x + 2/3*x**2.
-2*x*(x - 2)*(x + 1)**2/9
Let x(m) = -m**2 - 17*m + 5. Let c be x(-17). Let d(t) be the third derivative of 1/8*t**4 - 1/60*t**c + 4*t**2 + 0*t + 0 + 0*t**3. Factor d(r).
-r*(r - 3)
Suppose -22 = -4*r + 26. Let f = r - 10. Factor 1/2*s**f + 2 - 2*s.
(s - 2)**2/2
Let m(u) be the first derivative of u**9/6048 + u**8/1120 + u**7/560 + u**6/720 - u**3 - 3. Let c(a) be the third derivative of m(a). Factor c(w).
w**2*(w + 1)**3/2
Suppose 2*w - 3 - 9 = 0. Suppose -s = -2*r - w, 2*s + 0*r + 2*r = 6. What is u in -u**s + u**3 + u**2 - 1 + 0 - u + 1 = 0?
-1, 0, 1
Factor -2/5*p**2 + 2/5*p + 4/5.
-2*(p - 2)*(p + 1)/5
Suppose -3*p + 3 = -3*g + 2*g, 2*p = 4*g - 38. Let n**2 - 3*n**2 + 5*n**2 - 18*n + g*n = 0. What is n?
0, 2
Let o(d) be the third derivative of -d**6/60 - d**5/15 + 9*d**2. Factor o(q).
-2*q**2*(q + 2)
Let j(t) be the second derivative of 3/2*t**2 - 3/20*t**5 + 3/4*t**4 - 2*t + 0 - 3/2*t**3. Factor j(i).
-3*(i - 1)**3
Let d(i) = 120*i**4 + 65*i**3 + 10*i**2 + 65*i - 65. Let n(s) = -11*s**4 - 6*s**3 - s**2 - 6*s + 6. Let k(a) = 6*d(a) + 65*n(a). Let k(b) = 0. What is b?
-1, 0, 1
Let q(i) be the first derivative of -i**3/7 - 3*i**2/7 - 3*i/7 - 48. Suppose q(n) = 0. What is n?
-1
Let m(l) be the first derivative of 1/10*l**5 + 0*l**4 + 0*l - 1/12*l**6 + 0*l**2 - 1 + 0*l**3. Solve m(r) = 0 for r.
0, 1
Let t = 39/80 + 1/80. Factor 0 + 1/2*m - t*m**2.
-m*(m - 1)/2
Suppose 4*z - 4*a + 1 = -7, 0 = 5*z + 3*a - 22. Let r(k) be the first derivative of -3 - 3/2*k**2 - z*k - 1/3*k**3. Find c, given that r(c) = 0.
-2, -1
Let r = 0 - -1. Let d = r - -1. Find c such that 3*c**4 + c**4 - c**2 + d + 2*c - 5*c**2 - 8*c**4 - 10*c**3 = 0.
-1, 1/2
Factor 16*k**3 - 20 - 24*k**3 - 60*k - 38*k**2 - 27*k**2 - 5*k**4 - 22*k**3.
-5*(k + 1)**2*(k + 2)**2
Let x = 1676/157 - 4/471. Let u = 8 - 5. Factor 22/3*j + 14/3*j**u - x*j**2 - 4/3.
2*(j - 1)**2*(7*j - 2)/3
Let b(g) be the third derivative of -2/21*g**4 + 16/21*g**3 + 0 + 0*g + 5*g**2 + 1/210*g**5. Determine z so that b(z) = 0.
4
Suppose 69*s = 68*s + 3. Let m(p) be the second derivative of 0 + 1/18*p**4 + 0*p**2 - 4/45*p**6 + 1/10*p**5 - p + 0*p**s. Factor m(r).
-2*r**2*(r - 1)*(4*r + 1)/3
Let g(q) = -2*q**2 + q + 6. Let c(k) = k - k**2 - 1 - 2 + 8 - 2. Let o(p) = -5*c(p) + 3*g(p). Factor o(v).
-(v - 1)*(v + 3)
Let j be ((-15)/6)/5 - -1. Let k be (-3)/(-14) + (-8)/(-28). Solve -j - k*n**2 + n = 0.
1
Suppose j - 6*j + 5*s + 35 = 0, -s = 2*j + 1. Let g be 11/33 - 0/j. Factor 1/3*r**5 + 0*r + 0 + 1/3*r**2 - 1/3*r**4 - g*r**3.
r**2*(r - 1)**2*(r + 1)/3
Suppose 0*h - 8/3*h**3 + 5/3*h**4 - 1/3*h**5 + 4/3*h**2 + 0 = 0. What is h?
0, 1, 2
Let x(i) be the third derivative of -i**7/525 - i**6/150 - i**5/150 - 3*i**2. Solve x(h) = 0.
-1, 0
Find b, given that 1 - 3/2*b + 3/2*b**3 + 5/2*b**4 - 7/2*b**2 = 0.
-1, 2/5, 1
Let k be (-3)/7 - (-192)/56. Let v be ((-3)/(-9))/(5/k). Suppose 0 - 2/5*i - v*i**2 = 0. Calculate i.
-2, 0
Let v(p) = -4*p**2 - 4*p + 5. Let k(o) = -5*o**2 - 5*o + 6. Let y(i) = 3*k(i) - 4*v(i). Factor y(a).
(a - 1)*(a + 2)
Let m = 442/5 + -88. Let j(i) be the second derivative of 0*i**2 - 2*i + 0*i**3 + 1/15*i**6 - 1/6*i**4 + 4/21*i**7 - m*i**5 + 0. Solve j(p) = 0 for p.
-1, -1/4, 0, 1
Factor -15/2*j**3 - 6*j + 3/2*j**4 + 0 + 12*j**2.
3*j*(j - 2)**2*(j - 1)/2
Let m(r) be the third derivative of -r**6/360 - r**5/180 - 19*r**2. Suppose m(o) = 0. What is o?
-1, 0
Let f(i) be the third derivative of 3*i**2 - 1/420*i**7 + 0 + 0*i - 1/672*i**8 + 1/240*i**6 + 0*i**3 + 1/120*i**5 + 0*i**4. Solve f(x) = 0 for x.
-1, 0, 1
Let w(k) = 2*k**3 - 5*k**2 - 3. Let n(d) = d**3 - 4*d**2 - 2. Suppose -5*z + 34 = -4*b, 3*z = 4*z + b - 5. Let q(y) = z*n(y) - 4*w(y). Factor q(j).
-2*j**2*(j + 2)
Let i be 8 + (-2 - -6) + -3. Let y(t) = -7*t**2 - 11*t. Let m(b) = 7*b - 2*b + 0*b**2 + 3*b**2. Let v(l) = i*m(l) + 4*y(l). Factor v(q).
-q*(q - 1)
Factor 81*r**3 + 10*r**2 + 5*r**5 - 10*r**4 - 81*r**3 - 5*r.
5*r*(r - 1)**3*(r + 1)
Let t be (-122)/(-2 - 0) + 2. Let f be 32/t + 16/(-56). Factor 0 + 0*h + 2/9*h**3 + f*h**2 - 2/9*h**5 - 2/9*h**4.
-2*h**2*(h - 1)*(h + 1)**2/9
Suppose 2*k - 4*n - 26 = 0, -3*k + k + 6 = n. Let 0*w - 8/7*w**k + 0 - 10/7*w**3 + 22/7*w**4 - 4/7*w**2 = 0. Calculate w.
-1/4, 0, 1, 2
Suppose -4*z = -3 - 17. Determine n so that -5*n**5 - 3*n**4 + 2*n**z + 4*n**4 + 2*n**4 = 0.
0, 1
Let s(f) = -5*f**5 + 7*f**4 - f**3 - 4*f**2 - 3. Let u(q) = 26*q**5 - 36*q**4 + 6*q**3 + 20*q**2 + 16. Let a(l) = 16*s(l) + 3*u(l). Solve a(y) = 0 for y.
-1, 0, 1, 2
Let k(a) be the first derivative of a**6/1080 - a**5/120 + a**4/36 - a**3 + 2. Let t(n) be the third derivative of k(n). Factor t(c).
(c - 2)*(c - 1)/3
Let v(m) be the second derivative of 2*m**7/21 + 2*m**6/15 - 4*m**5/5 - 4*m**4/3 - 15*m. Determine u so that v(u) = 0.
-2, -1, 0, 2
Let q(r) be the second derivative of r**4/12 + r**3/2 + 3*r**2/2 - 3*r. Let j be q(-5). Solve 3 + 16*w + 0*w**2 - 3 - j*w**2 + 3*w**3 - 4 = 0 for w.
1/3, 2
Let n(v) be the third derivative of 0*v + 0*v**3 - 2*v**2 + 0*v**5 - 1/120*v**4 - 1/525*v**7 + 0 + 1/200*v**6. Factor n(s).
-s*(s - 1)**2*(2*s + 1)/5
Let p(a) be the third derivative of 1/420*a**5 - 1/14*a**3 + 1/84*a**4 + 0*a - a**2 + 0. Factor p(f).
(f - 1)*(f + 3)/7
Let d be (-6)/40*(-9)/(81/16). Let m(a) be the first derivative of 0*a**4 + 0*a**2 + 2/5*a + 2/25*a**5 - d*a**3 + 1. Solve m(j) = 0 for j.
-1, 1
Let o(i) be the second derivative of -5*i**4/12 - 5*i**3/6 - 11*i. Let o(n) = 0. What is n?
-1, 0
Let l = 688/1715 - 2/1715. Factor -4/5*f - l*f**2 - 2/5.
-2*(f + 1)**2/5
Let l(g) = 13*g**3 - 7*g**2 - 3*g + 5. Let v(m) = -12*m**3 + 6*m**2 + 3*m - 4. Let y(t) = 4*l(t) + 5*v(t). Suppose y(n) = 0. Calculate n.
-1/2, 0, 3/4
Let r(y) = 13*y**3 + 51*y**2 + 5*y - 5. Let t(x) = -20*x**3 - 76*x**2 - 8*x + 8. Let n(d) = -8*r(d) - 5*t(d). Find s such that n(s) = 0.
-7, 0
Let z(h) = -h**3 - 17*h**2 - 16*h. Let u(q) = -2*q**3 - 50*q**2 - 48*q. Let n(j) = -3*u(j) + 10*z(j). Factor n(s).
-4*s*(s + 1)*(s + 4)
Let l(a) = 2*a**2 - 2*a + 5. Let g(j) = 4*j**2 - 3*j + 11. Let m(x) = -3*g(x) + 7*l(x). Determine h so that m(h) = 0.
1/2, 2
Let p(f) = f - 4. Let b be p(7). Suppose c = -4*c + 20. Factor -2 + b*k**4 + c*k**4 + 18*k**3 + 15*k**2 + k**3 + k.
(k + 1)**3*(7*k - 2)
Factor -2/3*i**3 - 2*i**2 - 2/3 - 2*i.
-2*(i + 1)**3/3
Let p be 21/(-10)*125/(-150). Factor p*d + 1/4 - 4*d**3 + 2*d**2.
-(d - 1)*(4*d + 1)**2/4
Let h(m) be the third derivative of 0 + 0*m + 1/10*m**5 + 0*m**3 + 1/8*m**4 - 1/40*m**6 + 5*m**2 - 1/35*m**7. Determine j so that h(j) = 0.
-1, -1/2, 0, 1
Let w be (-3)/(-2) + (-5)/(-10). Factor 16*a + 8 + 17*a**2 - 9*a**w + 2*a**2 + 2*a**3.
2*(a + 1)*(a + 2)**2
Let i(j) be the second derivative of j**7/7 - 9*j**6/10 + 39*j**5/20 - 5*j**4/4 - 3*j**3/2 + 3*j**2 - 20*j. Factor i(s).
3*(s - 2)*(s - 1)**3*(2*s + 1)
Suppose 55 = 5*w - 0*w. Suppose w = 2*m + m + 2*u, -2*u = -4*m + 24. Let t(y) = y**2 + y. Let i(x) = -4*x**2 - 3*x + 1. Let v(d) = m*t(d) + i(d). Factor v(o).
(o + 1)**2
Solve 7/2*f - 4 + 1/2*f**2 = 0 for f.
-8, 1
Let c(q) be the third derivative of -q**7/735 + 9*q**2. Factor c(f).
-2*f**4/7
Let y(j) be the third derivative of -j**6/420 - 2*j**5/105 - 5*j**4/84 - 2*j**3/21 - 7*j**2. Factor y(r).
-2*(r + 1)**2*(r + 2)/7
Suppose 3 = 5*z - 4*z. Suppose 0 = -z*u - 2*k + 10, -5*u = -2*k - 0*k - 6. Factor -4 - 4*a - u*a + 8 + 2*a**2.
2*(a - 2)*(a - 1)
Suppose 3*j + 4*j**2 - 12*j**4 + 3*j**5 - 6*j**2 + 18*j**3 - 10*j**2 = 0. Calculate j.
0, 1
Let l = -11 + 15. Let j**3 + 1/3*j**l + 1/3*j**2 - j - 2/3 = 0. What is j?
-2, -1, 1
Let a be (-9)/(45/10) - -6. Factor -1/3*d**5 + 0*d**2 - 1/3*d**3 + 0 + 2/3*d**a + 0*d.
-d**3*(d - 1)**2/3
Let p(s) be the second derivative of s**5/40 - s**4/12 - 21*s. Factor p(z).
z**2*(z - 2)/2
Suppose 2*o = -1 - 3. Let w be 1/(-2) + (-21)/o. Factor -w*a**2 + 17 - 4