or s(m).
2*(m - 2)**2*(m + 1)**2
Let k(v) be the second derivative of -46*v**6/75 - 28*v**5/5 + 13*v**4 + 136*v**3/3 + 56*v**2/5 - 786*v. Suppose k(a) = 0. Calculate a.
-7, -1, -2/23, 2
Factor 5/2*t**3 + 241800*t - 3105/2*t**2 - 240250.
5*(t - 310)**2*(t - 1)/2
Let n(p) = -14*p - 29*p**2 + 3*p**2 + 36 + 7*p**2 + 14*p**2. Let b(i) = -4*i**2 - 14*i + 36. Let c(y) = -6*b(y) + 4*n(y). Factor c(h).
4*(h - 2)*(h + 9)
Let x = 1866 - 78371/42. Let d(r) be the first derivative of 1/14*r**4 - 1/7*r - 1/14*r**2 - x*r**6 - 6 - 1/35*r**5 + 2/21*r**3. Solve d(b) = 0 for b.
-1, 1
Let c = -126 + 638/5. Let f = 249727/5 - 49945. Suppose -f*q**3 + 4/5 - 2*q + c*q**2 = 0. What is q?
1, 2
Let x(f) be the first derivative of f**7/126 + 2*f**6/45 - f**5/60 - f**4/9 + 53*f - 48. Let s(c) be the first derivative of x(c). Factor s(i).
i**2*(i - 1)*(i + 1)*(i + 4)/3
Let n(m) = 27. Let b(u) = 4*u**2 - 2*u + 34. Let q(f) = -3*f**2 + 2*f - 32. Let o(g) = 2*b(g) + 3*q(g). Let w(y) = 4*n(y) + 3*o(y). Solve w(s) = 0.
-2, 4
Let w(i) = i**3 + 18*i**2 + 26*i - 91. Let c be w(-16). Suppose -3*h = 4*t - 12 - 15, -c*h + 45 = -2*t. Factor -1/3*b**4 - 8/3*b**3 - 6*b**2 + 0*b + h.
-(b - 1)*(b + 3)**3/3
Factor j**2 + 0 + 1/9*j**3 + 8/9*j.
j*(j + 1)*(j + 8)/9
Let d be (-580)/(-1015) + 34/14. Let g(k) be the second derivative of 1/12*k**d + 33*k + 0 - 1/24*k**4 - 1/12*k**2 + 1/120*k**5. Factor g(m).
(m - 1)**3/6
Let o = -7/79376 - 28373305/79376. Let u = o - -358. Factor -20/11*n**2 - u*n**3 - 8/11*n + 16/11.
-2*(n + 2)**2*(3*n - 2)/11
Let o(h) = 9*h**3 + 68*h**2 + 133*h + 10. Let k(p) = -9*p**3 - 68*p**2 - 134*p + 5. Let v(g) = -4*k(g) - 5*o(g). Solve v(q) = 0.
-5, -14/9, -1
Let x(a) = 319*a - 33491. Let q be x(105). Factor -2/9*z**q + 22/9*z**3 + 0 + 2*z - 38/9*z**2.
-2*z*(z - 9)*(z - 1)**2/9
Let c(i) = -i**2 + 9*i - 8. Let w(f) be the second derivative of -3/2*f**3 + 15*f + 0 + 9/2*f**2. Let o(u) = -3*c(u) - 2*w(u). Determine y, given that o(y) = 0.
1, 2
Let p be (-20)/(-2) + (-507)/52. Factor 1/4*m**4 - p*m**2 + 5/4*m**3 + 0 - 5/4*m.
m*(m - 1)*(m + 1)*(m + 5)/4
Let n(f) be the third derivative of -8/15*f**3 + 0*f**4 + 4/75*f**5 + 2*f**2 + 0 - 1/350*f**7 - 1/1680*f**8 + 2*f + 1/150*f**6. Solve n(i) = 0 for i.
-2, 1, 2
Let p(u) = 4*u - 21. Let l be p(7). Suppose l*q - 4*k = 10*q, -q - k + 1 = 0. Factor -5*g**5 - 20*g + 15*g**3 + 20*g**2 - 7*g**4 - 7*g**4 + 4*g**q.
-5*g*(g - 1)**2*(g + 2)**2
Find r such that -842*r**3 - 448*r + 12*r**2 - 304 - 4*r**4 + 1575*r**3 - 581*r**3 = 0.
-1, 2, 38
Suppose 4*h - 40 = -103*y + 97*y, -5*y - 3*h + 31 = 0. Let f(p) be the first derivative of p**4 + 0*p - 23 - p**y + 0*p**5 - 1/3*p**6 + 0*p**3. Factor f(b).
-2*b*(b - 1)**2*(b + 1)**2
Let a = -949964 + 8549678/9. Suppose 4*s**3 - a*s**4 - 128/9 + 32*s - 194/9*s**2 = 0. Calculate s.
1, 8
Let x(k) = 2*k - 2. Let d(v) = -v**2 - 71*v + 234. Let z(n) = -2*d(n) - 22*x(n). Factor z(b).
2*(b - 4)*(b + 53)
Let f(x) be the second derivative of -147*x**5/20 + 3269*x**4 + 7496*x**3 + 6432*x**2 - 18*x - 54. Find w such that f(w) = 0.
-4/7, 268
Find q, given that 2790/13*q - 2700/13 - 42/13*q**2 - 46/13*q**3 - 2/13*q**4 = 0.
-15, 1, 6
Let f = -46019 - -322157/7. Factor -4/7*k**2 + 50/7*k - f.
-2*(k - 12)*(2*k - 1)/7
Let i(x) = -x**5 - x**2 + 2*x - 5. Let r(n) = -105*n**4 - 125*n**3 + 80*n**2 + 150*n - 125. Let p(c) = 25*i(c) - r(c). Determine t, given that p(t) = 0.
-1, -4/5, 0, 1, 5
Factor 0 + 8/3*q + 1/3*q**2.
q*(q + 8)/3
Let x(j) be the first derivative of j**6/1440 + j**5/24 + 25*j**4/24 + j**3/3 - j + 7. Let y(o) be the third derivative of x(o). Factor y(t).
(t + 10)**2/4
Let z(s) be the second derivative of -s**4/60 + 13*s**3/5 + 79*s**2/10 - 5761*s. Solve z(p) = 0.
-1, 79
Let f(b) be the third derivative of -b**5/12 - 35*b**4/8 + 55*b**3/3 + 145*b**2 - 1. Factor f(z).
-5*(z - 1)*(z + 22)
Factor -1/9*b**2 - 1/9*b**3 + 1 + b.
-(b - 3)*(b + 1)*(b + 3)/9
Suppose 5*g - 25 = 4*c, 2*g + 4*c - 27 = 9*c. Let j(k) = 10*k**3 - 18*k**2 - 30*k - 2. Let b(m) = m**3 + 1. Let d(i) = g*j(i) - 12*b(i). Factor d(a).
-2*(a + 1)**2*(a + 7)
Factor -8 - 1/3*l**2 - 14/3*l.
-(l + 2)*(l + 12)/3
Let o(y) be the third derivative of -y**5/360 - 109*y**4/72 - 3*y**2 + 68. Find h such that o(h) = 0.
-218, 0
Let l(t) = 236*t - 12260. Let g be l(52). Let y(f) be the first derivative of -1/26*f**4 + 0*f + 2/13*f**2 - g + 2/39*f**3. Solve y(z) = 0 for z.
-1, 0, 2
Factor 3/5*i**4 + 176/5*i**2 + 0 + 0*i + 1/5*i**5 - 72/5*i**3.
i**2*(i - 4)**2*(i + 11)/5
Let a be 3/2*1984/48. Determine y, given that -7 + 80*y + 8 - 14*y**2 - 36*y**3 + 31 - a*y**3 = 0.
-4/7, 1
Let a(n) be the first derivative of 25*n**3 - 16*n - 49/8*n**4 - 32*n**2 + 1/2*n**5 - 148. Determine o, given that a(o) = 0.
-1/5, 2, 4
Suppose -4*l - 82 = 22. Let y = l + 29. Factor 8*k**2 + 2*k + 11*k**2 + 9*k**2 - 27*k**2 - y.
(k - 1)*(k + 3)
Let o(r) be the first derivative of -r**4/2 - 982*r**3/3 - 60515*r**2 - 120050*r - 154. Suppose o(w) = 0. Calculate w.
-245, -1
Let p(n) = -3*n**2 - 19*n + 29. Let w be p(2). Let i be 13/((-364)/w)*6/9. Factor 3/2*h**3 + i*h**2 + 0*h + 0 - 2*h**4.
-h**2*(h - 1)*(4*h + 1)/2
Suppose 0 = -16*u + 41*u - 300. Suppose u*j + 50 = 37*j. Solve -10 - 14*q - 22/5*q**j - 2/5*q**3 = 0 for q.
-5, -1
Let s(y) = -8*y**2 + 81*y - 801. Let t(h) = 3*h**2 - 41*h + 402. Let z(f) = 6*s(f) + 15*t(f). Determine p so that z(p) = 0.
-51, 8
Let g(h) be the third derivative of -h**8/1008 + 11*h**7/210 - 157*h**6/180 + 449*h**5/90 + 35*h**4/8 - 931*h**3/18 + 2663*h**2. Find q, given that g(q) = 0.
-1, 1, 7, 19
Suppose -5 = -3*w + h, 2*w + 11*h - 10*h = 5. Find k such that -2/3 + k - 1/3*k**w = 0.
1, 2
Let b(l) be the first derivative of 0*l + 1/3*l**4 + 4/9*l**3 + 0*l**2 - 194 + 1/15*l**5. Factor b(j).
j**2*(j + 2)**2/3
Let u(k) be the first derivative of -3*k**4/20 - 21*k**3/5 + 471*k**2/10 - 81*k + 5292. Let u(w) = 0. Calculate w.
-27, 1, 5
Factor -96/11 + 6/11*w**4 + 78/11*w**3 + 282/11*w - 270/11*w**2.
6*(w - 1)**3*(w + 16)/11
Let q(s) be the third derivative of 1/16*s**4 - 91/80*s**5 + 0 + 124*s**2 + 0*s**3 + 0*s. Find a such that q(a) = 0.
0, 2/91
Let v be (-12)/((-8)/(-2))*(-1)/(-3). Let w(h) = h**2 + h - 1. Let l(b) = 35*b**3 - 20*b**2 + 35*b - 25. Let y(a) = v*l(a) + 25*w(a). Factor y(q).
-5*q*(q - 1)*(7*q - 2)
Let o(w) be the second derivative of w**10/10080 - w**9/840 + 9*w**8/2240 + 107*w**4/6 - 5*w + 4. Let d(x) be the third derivative of o(x). Factor d(y).
3*y**3*(y - 3)**2
Let f(b) = 9*b**3 - 90*b**2 - 72*b - 15. Let l(q) = -10*q**3 + 89*q**2 + 73*q + 2. Let n(z) = 2*f(z) + 3*l(z). Factor n(a).
-3*(a - 8)*(a + 1)*(4*a - 1)
Let w(c) = 4*c**3 + 904*c**2 + 1792*c - 12. Let r(h) = -h**2 - 2*h - 3. Let o(x) = 4*r(x) - w(x). Factor o(s).
-4*s*(s + 2)*(s + 225)
Let x be 752/4700 + 1144/350. Factor -3/7*z**2 - 36/7 - x*z.
-3*(z + 2)*(z + 6)/7
Let c(d) = -4*d**4 - 4*d**3 - 5*d**2 + 5. Let w = -112 - -117. Let p(y) = 2*y**4 + 2*y**3 + 2*y**2 - 2. Let i(n) = w*p(n) + 2*c(n). Find t such that i(t) = 0.
-1, 0
Let q = -17697 - -17697. Find j, given that q - 4*j - 2/7*j**2 = 0.
-14, 0
Let h be (-1)/((-63)/259) - 2. Let z = h + -16/9. Find w, given that 2/3*w + 0 - z*w**3 + 1/3*w**2 = 0.
-1, 0, 2
Let m(i) be the second derivative of -i**5/30 - 169*i**4/18 + i**3/9 + 169*i**2/3 - 2*i - 126. Factor m(k).
-2*(k - 1)*(k + 1)*(k + 169)/3
Suppose -5*i + 3*t = 5*t - 444, 5*i - 465 = 5*t. Let s be (-1)/(-5) + 462/i. Let -34/3*p**3 + s - 28/3*p**4 + 40/3*p + 4*p**2 - 2*p**5 = 0. Calculate p.
-2, -1, -2/3, 1
Let l(c) be the first derivative of c**5/20 - 3*c**4/8 - 9*c**3 + 59*c**2/2 - 38. Let k(i) be the second derivative of l(i). Determine q so that k(q) = 0.
-3, 6
Factor 236/3 + 156*f + 76*f**2 - 4/3*f**3.
-4*(f - 59)*(f + 1)**2/3
Let v be 69/(-6)*-2 - -1. Suppose -17 = u - v. What is l in -10*l - 8 + 6*l**2 + u + 3 + 2 = 0?
2/3, 1
Suppose 6*u = -16*u + 352. Suppose -2*h + 94 = k, 4*k + 170 - 66 = 2*h. What is r in h*r + 43*r**3 - 55*r**3 - 5*r**2 + u + r**2 = 0?
-2, -1/3, 2
Factor -193/4*x**2 - 1 + 15*x - 60*x**3 - 16*x**4.
-(x + 2)**2*(8*x - 1)**2/4
Let y(h) be the third derivative of -2*h**7/25 + 3*h**6/40 - h**5/50 + 1545*h**2. Factor y(q).
-3*q**2*(4*q - 1)*(7*q - 2)/5
Factor -13/5*l**2 - 1/5*l**4 - 4/5 - 6/5*l**3 - 12/5*l.
-(l + 1)**2*(l + 2)**2/5
Let o(i) = i**2. Let b = 43 +