ctor h(k).
-k*(k - 10)*(k - 1)/3
Let k(a) be the first derivative of 5*a**4/4 + 34*a**3/3 + 43*a**2/2 - 10*a + 605. Factor k(v).
(v + 2)*(v + 5)*(5*v - 1)
Factor 30 + 71*c**3 + 348*c - 157*c**3 + 42 - 170*c**3 + 320*c**2.
-4*(c - 2)*(8*c + 3)**2
Let h(n) be the third derivative of n**7/420 - n**6/120 - n**5/30 + n**4/24 + n**3/4 + 7*n**2. Factor h(k).
(k - 3)*(k - 1)*(k + 1)**2/2
Determine r so that -2/5*r**5 + 34/5*r**3 + 98/5*r**2 - 2*r**4 + 40 - 64*r = 0.
-5, 1, 2
Let q(m) be the first derivative of 2*m**5/35 + 3*m**4/14 + 2*m**3/21 - 3*m**2/7 - 4*m/7 + 191. Let q(g) = 0. Calculate g.
-2, -1, 1
Let n = -25 + 27. Let -2*u + 1417 + 4*u**2 - 4*u**4 + n*u**5 - 1417 = 0. What is u?
-1, 0, 1
Determine l so that 5*l**4 + 0*l**2 + l**2 + 24*l**2 + 30*l**3 = 0.
-5, -1, 0
Let m(x) be the third derivative of -4*x**2 + 0*x + 0 - 9/10*x**3 + 3/8*x**4 + 1/200*x**6 - 7/100*x**5. Find u such that m(u) = 0.
1, 3
Let n(o) be the second derivative of 5*o**4/12 - 85*o**3/6 + 40*o**2 - 3*o + 30. Find x, given that n(x) = 0.
1, 16
Let c(v) be the third derivative of -v**7/35 + v**6/60 + 3*v**5/10 - 3*v**4/4 + 2*v**3/3 - 199*v**2. Let c(b) = 0. Calculate b.
-2, 1/3, 1
Let k(j) be the third derivative of -j**5/12 - 15*j**4/2 - 175*j**3/6 - j**2 + 37. Factor k(f).
-5*(f + 1)*(f + 35)
Let k(v) be the first derivative of 1/8*v**4 + 0*v**2 - 2 + 0*v + 0*v**5 - 1/12*v**6 + 0*v**3. Find p, given that k(p) = 0.
-1, 0, 1
Let z(i) be the first derivative of i**6/1800 - i**5/150 + i**4/30 + 20*i**3/3 + 13. Let v(x) be the third derivative of z(x). Solve v(n) = 0.
2
Let z(h) be the second derivative of 0*h**2 + 0 - 6*h - 1/2*h**4 + 4*h**3 - 3/20*h**5. Factor z(m).
-3*m*(m - 2)*(m + 4)
Let n = -9/10 - -59/60. Let g(q) be the third derivative of -1/15*q**6 - n*q**5 + 6*q**2 + 0*q**3 + 0 - 1/24*q**4 - 2/105*q**7 + 0*q. Factor g(b).
-b*(b + 1)*(2*b + 1)**2
Let j be ((-40)/(-25))/(-1) - -8. Find t, given that -72/5*t**2 - j - 28/5*t**3 - 4/5*t**4 - 16*t = 0.
-2, -1
Let l(y) = -2*y - 6. Let t be l(-5). Let s be (-3)/2*t/(-3). Factor -4*f**3 + s*f**5 + 20 - 20 + 2*f.
2*f*(f - 1)**2*(f + 1)**2
Let b(s) be the first derivative of s**4/4 + s**3/3 - s**2/2 - s + 268. Factor b(j).
(j - 1)*(j + 1)**2
Let m = 105/8 - 937/72. Let q(w) be the first derivative of 0*w - 2/45*w**5 - m*w**6 + 7 - 2/9*w**2 + 1/2*w**4 - 2/9*w**3. Suppose q(b) = 0. Calculate b.
-2, -1/3, 0, 1
Let x(g) be the third derivative of -g**8/294 - g**7/735 + g**6/15 - 17*g**5/210 - g**4/14 + 705*g**2. Solve x(h) = 0 for h.
-3, -1/4, 0, 1, 2
Let j(b) be the second derivative of b**5/10 + 5*b**4/18 + 2*b**3/9 + b - 149. Suppose j(w) = 0. Calculate w.
-1, -2/3, 0
Let l = -1/113 - -121/904. Let y(c) = 2*c**3 - 47*c**2 + 24*c - 21. Let o be y(23). Let -l - 1/8*p**o + 1/4*p = 0. What is p?
1
Let v = -1230 + 1235. Factor 4/3*b**3 + 8/9*b**2 + 2/9*b**v + 8/9*b**4 + 0 + 2/9*b.
2*b*(b + 1)**4/9
Let d = 84 - 4199/50. Let i(q) be the second derivative of 1/30*q**4 + 1/15*q**3 + 4*q - 1/75*q**6 + 0 + 0*q**2 - d*q**5. Let i(l) = 0. Calculate l.
-1, 0, 1
Let z(s) be the first derivative of s**4/6 + 14*s**3/9 - 8*s**2/3 + 219. Determine g, given that z(g) = 0.
-8, 0, 1
Let j(x) be the third derivative of -2/9*x**3 - 1/30*x**5 + 0 + 1/180*x**6 + 0*x + 2*x**2 - 5/36*x**4 + 1/315*x**7. Let j(i) = 0. What is i?
-1, 2
Let t(c) be the first derivative of -2/3*c**3 - 4*c - 3*c**2 - 17. Let t(u) = 0. Calculate u.
-2, -1
Let s(k) = -k**3 - k**2 - k + 4. Let y be s(-3). Let w = -21 + y. Factor i**w - 2*i**4 + 4*i**4 + 1 - 2*i**2 - 2*i**4.
(i - 1)**2*(i + 1)**2
Let g(q) = q**3 - 8*q**2 + 255*q - 2040. Let n be g(8). Factor 2/5*h**3 + n - 2/5*h**2 + 0*h.
2*h**2*(h - 1)/5
Let k(p) be the first derivative of -p**5/75 - p**4/15 - 2*p**3/15 + 25*p**2/2 - 34. Let g(f) be the second derivative of k(f). Let g(b) = 0. What is b?
-1
Let k be 0 + 9 + -3 + 0. Suppose 3*t + k = -0*t. Let y(v) = v**2 - 3. Let l(u) = -3. Let q(i) = t*l(i) + 3*y(i). Factor q(g).
3*(g - 1)*(g + 1)
Suppose 0*q - 2*q - 3*r = -12, 12 = 3*q + 3*r. Let o be 9/12*1*(-80)/(-210). Factor q - 6/7*x**2 - o*x**3 - 4/7*x.
-2*x*(x + 1)*(x + 2)/7
Let k be (90/(-27))/(-2*15/18). Solve -3/4*j**k + 0 - 1/4*j = 0 for j.
-1/3, 0
Let s(z) = -z**2 - 35*z + 0*z**2 + 34*z. Let w(t) = 5*t**2 + 2*t + 1. Let g(l) = 4*s(l) + w(l). Determine x, given that g(x) = 0.
1
Let s be (-2)/(-5) - (-56)/35. Let c(z) be the third derivative of -1/9*z**4 + 0*z + 0 + 2*z**s - 17/360*z**5 - 1/144*z**6 - 1/9*z**3. Factor c(f).
-(f + 1)*(f + 2)*(5*f + 2)/6
Let m(k) be the second derivative of -k**7/1680 - k**6/360 - k**5/240 - 2*k**3/3 + 19*k. Let x(b) be the second derivative of m(b). Factor x(o).
-o*(o + 1)**2/2
Suppose 2*y = 9 + 1. Let u be (-32)/(-15) + (3 - y). Factor 2/15*v + 0 - u*v**3 + 0*v**2.
-2*v*(v - 1)*(v + 1)/15
Let x(l) be the third derivative of -l**6/30 - 29*l**5/15 + 5*l**4 - 293*l**2 - 2. Suppose x(s) = 0. What is s?
-30, 0, 1
Let x(i) be the second derivative of i**4/18 - 23*i**3/9 + 170*i. Suppose x(g) = 0. What is g?
0, 23
Let r(s) be the third derivative of s**6/360 + s**5/45 - 7*s**4/72 - 5*s**3/9 + 181*s**2. Let r(k) = 0. What is k?
-5, -1, 2
Suppose d + 15 = 5*q, -2*q - 4*d = -5*d - 9. Determine l, given that l**q - 9*l**3 + 9*l + 2*l**2 + 0*l**3 - 3 = 0.
-1, 1/3, 1
Suppose 8 = -3*h + 29. Suppose 6*a - 11 - h = 0. Factor -2/5*g**a + 2/5*g + 2/5*g**2 - 2/5.
-2*(g - 1)**2*(g + 1)/5
What is f in 882/13*f**5 - 144/13 - 3048/13*f + 3696/13*f**4 - 1966/13*f**3 - 16348/13*f**2 = 0?
-3, -2/21, 2
Let o(r) = -26*r**3 - 20*r**2 + 64*r - 54. Let q(x) = -x**3 - x**2 - 1. Let a(l) = -2*o(l) + 44*q(l). Solve a(t) = 0 for t.
-4, 1/2, 4
Suppose 0 = 4*c + 2*w - 18, -10*w + 15 = -5*w. Let a(k) be the first derivative of 1/5*k**2 + 1/10*k**4 + 2 + 0*k - 1/3*k**c. Factor a(j).
j*(j - 2)*(2*j - 1)/5
Let o(d) be the first derivative of -d**6/180 - d**5/20 - d**4/6 + 26*d**3/3 + 20. Let u(c) be the third derivative of o(c). Factor u(x).
-2*(x + 1)*(x + 2)
Let g = -2/3107 + 3113/9321. Factor 5/3*u**2 - 1/3*u**4 - g*u**3 - u + 0.
-u*(u - 1)**2*(u + 3)/3
Let j be ((-9)/11)/(2172/(-2896)). Suppose 12/11*q**2 - 54/11*q**3 - j + 54/11*q = 0. What is q?
-1, 2/9, 1
Let v be (-10)/14*5/(175/(-28)). Let i(j) be the second derivative of -v*j**4 + j + 0 - 4/7*j**3 - 3/14*j**2. Factor i(w).
-3*(4*w + 1)**2/7
Factor 0 - 3/7*a**4 + 9/7*a + 3/7*a**3 + 15/7*a**2.
-3*a*(a - 3)*(a + 1)**2/7
Let m = 254 - 5333/21. Let b(r) be the third derivative of 0 + 0*r + 1/210*r**5 + 0*r**4 - m*r**3 - 9*r**2. Factor b(q).
2*(q - 1)*(q + 1)/7
Let r be 2/6 + 430/(-30). Let h be (4/3)/(r/(-21)). Suppose 1/3*l**h + 0 + 2/3*l = 0. Calculate l.
-2, 0
Suppose 74*m = 78*m. Suppose -8*f + 14 + 18 = m. Factor -1/4*h**3 + 0 + 0*h**2 - 1/4*h**5 + 0*h - 1/2*h**f.
-h**3*(h + 1)**2/4
Let t(a) be the third derivative of 46*a**2 + 0 + 0*a + 0*a**3 + 1/600*a**6 + 1/24*a**4 - 1/50*a**5. Factor t(p).
p*(p - 5)*(p - 1)/5
Let l(n) be the second derivative of n**5/4 - 10*n**3/3 + 423*n. Factor l(b).
5*b*(b - 2)*(b + 2)
Let z(m) be the second derivative of -m**7/1260 + m**6/72 - m**5/15 - 7*m**4/12 - 22*m. Let d(n) be the third derivative of z(n). Determine c so that d(c) = 0.
1, 4
Let f = -6 + -9. Let m(u) = 63*u**2 - 27*u - 36. Let d(p) = 9*p**2 - 4*p - 5. Let l(y) = f*d(y) + 2*m(y). Find z such that l(z) = 0.
-1/3, 1
Let r(b) be the second derivative of b**4/12 - 3*b**3/2 + 4*b**2 + 8*b - 10. Factor r(c).
(c - 8)*(c - 1)
Suppose 0 = -33*d + 30*d + 6. Factor -8/7 - 2/7*x**d + 8/7*x.
-2*(x - 2)**2/7
Let h(y) = -y**2 + y - 1. Suppose -4 = 3*d + d. Let n(a) = 3*a**2 - a + 3. Let j(l) = d*n(l) - 5*h(l). Find f such that j(f) = 0.
1
Let q(t) be the first derivative of -t**5/5 - 9*t**4/2 + 13*t**3 - 10*t**2 + 43. Factor q(o).
-o*(o - 1)**2*(o + 20)
Let n(h) be the third derivative of 0 + 3/20*h**5 + 0*h + 1/4*h**4 - 33*h**2 + 0*h**3. Let n(v) = 0. What is v?
-2/3, 0
Let s(o) be the third derivative of 8*o**2 + 0*o + 0*o**5 - 1/42*o**7 + 1/8*o**6 + 0 + 0*o**3 + 0*o**4. Factor s(h).
-5*h**3*(h - 3)
Let f(v) be the second derivative of 1/165*v**6 - 1/231*v**7 - 1/33*v**4 + 8*v + 0 - 1/33*v**3 + 1/55*v**5 + 1/11*v**2. Factor f(j).
-2*(j - 1)**3*(j + 1)**2/11
Let k(x) = x**3 + x. Let b(v) = 21*v**2 + 19*v + 2. Let h(y) = b(y) + k(y). Let t be h(-20). Factor 8/3*j**t - 2/3*j**3 - 10