8)*(d - 2)
Factor 2*r - 4*r**2 + 7*r**2 + 2*r**2 - 3*r**2 - 4*r**2.
-2*r*(r - 1)
Suppose -7 + 2 = -f. Suppose g**2 + 3*g**2 - 14*g**3 + 138*g**f - 4*g**4 - 124*g**5 = 0. Calculate g.
-1, 0, 2/7, 1
Let i(j) = j**3 - j. Let k(m) = -326*m**4 - 1 + 324*m**4 + 2*m**2 + 1. Let q(l) = 2*i(l) + k(l). Determine a so that q(a) = 0.
-1, 0, 1
Let q(h) be the second derivative of 27*h + 7/10*h**6 + 0*h**3 + 0*h**2 + 0 - 2/7*h**7 - 3/10*h**5 - 1/4*h**4. Factor q(k).
-3*k**2*(k - 1)**2*(4*k + 1)
Suppose -37 = -3*r + 5*m, r + 19 - 3 = -4*m. What is o in -o + 271 - 272 - o + 2*o**3 + o**r = 0?
-1, 1
Let f be 3/(-4) + 1144/32. Let a = f - 25. Find s such that 5*s**4 - a*s**4 + s**3 + 6*s**4 = 0.
-1, 0
Let d be 10*(-4 - (0 + (-45)/10)). Let j(z) be the first derivative of 1/6*z**2 + d + 0*z + 1/9*z**3. Let j(n) = 0. What is n?
-1, 0
Let a(g) = -g**2 + 47*g + 50. Let q be a(48). Solve -5/4*i**q + 1/4*i**4 - 3/4*i**3 - 1/2*i + 0 + 1/4*i**5 = 0.
-1, 0, 2
Let j(s) be the first derivative of -14 - 15*s**2 - 45*s - 5/3*s**3. Factor j(u).
-5*(u + 3)**2
Suppose -91*h = -102*h. Let c(g) be the second derivative of -3*g + 5/24*g**3 - 1/4*g**2 - 1/12*g**4 + h + 1/80*g**5. Find a, given that c(a) = 0.
1, 2
Let k(q) be the second derivative of 0*q**2 + 0 - 13*q + 1/3*q**4 + 1/9*q**3. Factor k(j).
2*j*(6*j + 1)/3
Suppose 3*x - 11 = -32*p + 33*p, 5*x + 10 = -4*p. Factor 0*q**x + 0*q - 4/3*q**4 + 4/3*q**3 + 0.
-4*q**3*(q - 1)/3
What is i in 10/3*i + 3 + 1/3*i**2 = 0?
-9, -1
Suppose -15 - 6 = -7*a. Let t(n) be the first derivative of -7/4*n**a + 0*n + 3/4*n**2 - 5. Determine k, given that t(k) = 0.
0, 2/7
Let v = 613 + -608. Let a(c) be the third derivative of 1/6*c**4 + 1/15*c**v + c**2 + 0 + 0*c**3 + 0*c. Factor a(n).
4*n*(n + 1)
Let i be 4*(94/8 - 2). Let s = 39 - i. Factor -2/5*q - q**4 - 12/5*q**3 - 9/5*q**2 + s.
-q*(q + 1)**2*(5*q + 2)/5
Let b(m) be the third derivative of m**9/9072 - m**8/2520 - 4*m**3/3 - 17*m**2. Let f(l) be the first derivative of b(l). Let f(s) = 0. What is s?
0, 2
Suppose 3*l - 23 = -5*r, 2*r + 2 = -4*l + 28. Let z be (27/(-126))/(l/(-7)). Find x such that 1/4*x**2 - 1/2*x + z = 0.
1
Let t be 12/(-9)*(10 + -13)*1. Factor 0 - 2/7*c**5 + 0*c**2 - 4/7*c**t + 6/7*c**3 + 0*c.
-2*c**3*(c - 1)*(c + 3)/7
Let p(s) = 7*s**4 - 50*s**3 + 45*s**2 + 2*s + 2. Let t(b) = -15*b**4 + 100*b**3 - 90*b**2 - 5*b - 5. Let m(n) = 5*p(n) + 2*t(n). What is u in m(u) = 0?
0, 1, 9
Suppose 5*a = -6*l + 3*l + 14, 0 = l + a - 4. What is w in -w**2 - w**2 - w**3 - 8*w**3 - 4*w**2 + l*w**5 = 0?
-1, 0, 2
What is z in -2/7*z**4 + 36/7 - 54/7*z + 2*z**2 + 6/7*z**3 = 0?
-3, 1, 2, 3
Let x be (-2043)/(-630) - ((-4)/10)/1. Let s = -7/2 + x. Factor 0*w - s*w**3 - 1/7*w**2 + 0.
-w**2*(w + 1)/7
Let d(f) be the first derivative of f**7/21 - 2*f**6/5 + 6*f**5/5 - 4*f**4/3 + 12*f + 12. Let l(o) be the first derivative of d(o). Solve l(n) = 0 for n.
0, 2
Let d be 30*4/204*(-375)/798. Let w = 3/323 - d. Factor 0 - 2/7*j - w*j**4 + 2/7*j**3 + 2/7*j**2.
-2*j*(j - 1)**2*(j + 1)/7
Let k(d) = -41*d - 5*d**2 + 40*d + 4*d**2. Let m(p) = 26*p**2 + 20*p. Let y(o) = -44*k(o) - 2*m(o). Solve y(n) = 0 for n.
0, 1/2
Suppose -2 + 8 = 2*d. Suppose 10 = -h + 4*h - 4*q, 0 = -h + 4*q + 6. Factor v**h + v + 1/3 + 1/3*v**d.
(v + 1)**3/3
Factor -151/4*r**2 - 1925/4*r - 625/4 - 3/4*r**3.
-(r + 25)**2*(3*r + 1)/4
Let y = -23811/5 - -4765. Factor y*x**2 - 4/5*x + 0 - 2*x**3.
-2*x*(x - 1)*(5*x - 2)/5
Let i be -5 + 2 + 7/1. Suppose i*s + 4*k - 36 = 0, 0 = -3*k - 0*k + 15. Factor 3*p - s*p**2 - 2*p - 3*p.
-2*p*(2*p + 1)
Let z(u) = 4*u**2 - 184*u + 2. Let a(i) = -9*i**2 + 366*i - 5. Let d(r) = -2*a(r) - 5*z(r). Factor d(x).
-2*x*(x - 94)
Factor -369*t**3 + 27*t**2 + t**5 - 3*t**4 + 342*t**3 + 2*t**5.
3*t**2*(t - 3)*(t - 1)*(t + 3)
Suppose 2*j + j + 2*q = 28, -4*j - 3*q = -38. Suppose 2*a + 5*s - j = 0, a + s + 8 = 3*a. Factor 6*k**4 - 2*k**5 + 3*k**5 + a - 4 + 12*k**3 + 8*k**2.
k**2*(k + 2)**3
Let q = 6 + -2. Let k be -1 - 10 - 1159/(-95). Factor -k*z**2 + 2/5*z + 6/5*z**3 + 0 - 2/5*z**q.
-2*z*(z - 1)**3/5
Let y(c) be the third derivative of c**8/2240 - c**7/280 + c**6/80 - c**5/40 + c**4/6 + 9*c**2. Let o(g) be the second derivative of y(g). Factor o(u).
3*(u - 1)**3
Let m(l) = -3*l**2 - 3*l**3 - 2*l**2 - 82 + 4*l**4 + 41 + 39. Let v(f) = -3*f**4 + 2*f**3 + 4*f**2 + 1. Let s(g) = -4*m(g) - 6*v(g). Solve s(u) = 0 for u.
-1, 1
Suppose 10*z**4 - 32*z**2 - 2*z**4 - 20*z + 24 + 6482*z**3 - 4*z**5 - 6458*z**3 = 0. Calculate z.
-2, -1, 1, 3
Let l be (-6)/39 + 339*3/2808. Let t(f) be the second derivative of 0 - l*f**3 - 1/16*f**4 + 3*f - 1/4*f**2. Determine k, given that t(k) = 0.
-1, -2/3
Let c(k) = 2*k**4 + 166*k**3 + 1910*k**2 + 2718*k - 4796. Let m(q) = q**4 + q**3 - q**2 + q - 2. Let a(g) = c(g) + 2*m(g). Factor a(r).
4*(r - 1)*(r + 3)*(r + 20)**2
Let l(s) be the second derivative of s**7/126 + s**6/90 - 17*s**5/60 + 5*s**4/12 + 2*s + 7. Factor l(i).
i**2*(i - 3)*(i - 1)*(i + 5)/3
Let p = 124786/259 + -3534/37. Let t = 390 - p. Factor -t*m**2 - 8/7 + 12/7*m**3 + 24/7*m - 2/7*m**4.
-2*(m - 2)**2*(m - 1)**2/7
Let l(k) be the third derivative of -5*k**8/294 - 3*k**7/35 - 47*k**6/420 + k**4/21 + 81*k**2 - k. Determine v, given that l(v) = 0.
-2, -1, -2/5, 0, 1/4
Let j(c) be the third derivative of -1/30*c**4 + 1/75*c**5 + 0*c + 0 + 12*c**2 - 4/15*c**3. Solve j(o) = 0.
-1, 2
Suppose 11*z = 8*z. Let c = 45 + -179/4. Suppose z - c*l**4 + 1/4*l**2 - 1/4*l**3 + 0*l + 1/4*l**5 = 0. What is l?
-1, 0, 1
Let d = 1 + 9. Suppose -25 = 6*k - k, 2*k = h - d. Factor -6*i**4 - 3*i**3 + 3*i**5 + h*i**5 + 6*i**4.
3*i**3*(i - 1)*(i + 1)
Let q(y) = -9*y**3 - 4*y**2 + 3*y + 4. Let b be q(-3). Let 2 + b*z**2 + 41*z**2 + 10 - 108*z = 0. Calculate z.
2/9
Let o(v) = 9*v**3 + 19*v**2 - 4*v - 4. Let a(t) = 16*t**3 + 35*t**2 - 9*t - 7. Let g(n) = -4*a(n) + 7*o(n). Factor g(p).
-p*(p - 1)*(p + 8)
Suppose -5*a - 67 = -42. Let q be a + 33/5 - 2/(-5). Determine h so that 1/2*h**5 + 7/2*h**4 + 8*h + q + 19/2*h**3 + 25/2*h**2 = 0.
-2, -1
Let b be (3 + (-870)/350)*(-80)/(-24). Factor -8/7*o**2 - b*o + 12/7*o**3 + 8/7.
4*(o - 1)*(o + 1)*(3*o - 2)/7
Factor 33*z**4 - 37689 - 36*z**4 + 482217 - 372*z**3 - 15120*z**2 - 190512*z.
-3*(z - 2)*(z + 42)**3
Let q be (-5*15/150)/((-46)/24 + 1). Find y, given that -18/11*y**4 - 6/11*y**2 + q*y**5 + 0*y + 0 + 18/11*y**3 = 0.
0, 1
Suppose -4*s - 45 = s. Let b = s - -12. Factor -6*l**2 - b*l**2 - 2*l - 16*l**3 - 2*l**2 - 3*l**4 - 4*l**4.
-l*(l + 1)**2*(7*l + 2)
Suppose -18*o = -160 + 34. Let a(f) be the second derivative of 0 + 0*f**5 + 1/30*f**3 - 1/210*f**o + 0*f**2 - 7*f + 1/30*f**4 - 1/75*f**6. Factor a(t).
-t*(t - 1)*(t + 1)**3/5
Let u = -5 + 4. Let l be u/5 + 156/30. Factor 3*h**5 + 3*h**4 + 3*h**3 + 2*h**3 - 3*h**2 - 8*h**3 + 0*h**l.
3*h**2*(h - 1)*(h + 1)**2
Let i(s) be the third derivative of s**8/5040 - s**6/360 + s**5/180 + s**3/2 - 5*s**2. Let v(m) be the first derivative of i(m). Factor v(d).
d*(d - 1)**2*(d + 2)/3
Factor 648/5*w**2 - 18/5*w**4 - 1/5*w**5 - 9/5*w**3 - 1296/5*w + 0.
-w*(w - 3)**2*(w + 12)**2/5
Let t(r) be the first derivative of r**4/28 - 11*r**3/21 + 2*r**2 - 35. Factor t(c).
c*(c - 7)*(c - 4)/7
Let s be (11 + 4 - 22)*(-4)/14. What is h in -106/3*h**s + 8*h + 64/3*h**5 - 2/3 + 212/3*h**3 - 64*h**4 = 0?
1/4, 1/2, 1
Let p(n) be the second derivative of n**6/6 - 5*n**5/4 - 5*n**4/2 + 129*n. Factor p(j).
5*j**2*(j - 6)*(j + 1)
Suppose -12*r = -17*r + 330. Let 17*a - r + 5*a**2 + 76 - 2*a = 0. Calculate a.
-2, -1
Let x(h) be the first derivative of h**5/90 - h**4/18 + h**3/9 + 7*h**2/2 + 7. Let w(u) be the second derivative of x(u). Factor w(n).
2*(n - 1)**2/3
Let i = -33 + 38. Suppose -2*d**2 + 0*d**2 - i*d**3 - 2*d**2 + 9*d**2 + 10*d = 0. Calculate d.
-1, 0, 2
Solve 4/3*f**3 + 2*f**2 + 2 - 16/3*f = 0 for f.
-3, 1/2, 1
Let s(r) = -r**3 - r - 1. Let d = -32 + 62. Let n(z) = -2*z**3 - 3*z**2 - 7*z - 6. Let w(g) = d*s(g) - 5*n(g). Find x such that w(x) = 0.
-1/4, 0, 1
Let k(u) be the second derivative of u**4/20 - u**3 + 15*u**2/2 + 52*u. Solve k(c) = 0 for c.
5
Let c(h) be the second derivative of -h**4/36 - h**3/2 - 16*h + 1. Determine b so that c(b) = 0.
-9, 0
Let k(b) be the second derivative of -4*b**3 + 6*b**2 - 3/20*b**5 + 0 + 9*b + 5/4*b**4. Factor k(c).
-3*(c - 2)**2*(c - 1)
Suppose 4*s - 85 