olve -5/2*v + 5/2*v**s - 5*v**2 + 5/2 - 5/2*v**5 + 5*v**3 = 0 for v.
-1, 1
Suppose -5*r + 5*n = -10*r + 5, 4*r = -5*n + 1. Factor 7*o**2 - 2*o**3 + 23*o**2 + 40 + r*o**3 + 3*o**3 + 60*o.
5*(o + 2)**3
Let a(v) be the third derivative of -v**6/80 - v**5/40 + v**4/16 + v**3/4 + 417*v**2. Factor a(t).
-3*(t - 1)*(t + 1)**2/2
Factor -6/11*g + 0 + 7/11*g**2 - 1/11*g**3.
-g*(g - 6)*(g - 1)/11
Let w = -43705/6 + 7288. Let -1/3 - 1/3*n**5 - 11/6*n**4 - 23/6*n**3 - 11/6*n - w*n**2 = 0. What is n?
-2, -1, -1/2
Let k(z) be the first derivative of -5*z**3/3 - 120*z**2 - 2880*z - 82. Suppose k(r) = 0. What is r?
-24
Let o = 5087/4 + -1271. Solve 3/4*j**3 + 15/4*j**4 + 0 + 0*j + 9/4*j**5 - o*j**2 = 0.
-1, 0, 1/3
Let h(k) be the third derivative of 0 + 9/64*k**4 - 5*k**2 + 5/16*k**3 + 0*k - 1/320*k**6 + 3/160*k**5. Find b, given that h(b) = 0.
-1, 5
Let n = -4 + 5. Suppose -s + 5 - n = 0. Let -42*q**2 - 8*q + 43*q**3 - 2*q**2 - 127*q**3 - 42*q**5 + 22*q**5 - 68*q**s = 0. What is q?
-1, -2/5, 0
Let q(o) = -o**2 - 15*o + 34. Let m be q(-17). What is h in -1/4*h**3 + m - 9/4*h - 3/2*h**2 = 0?
-3, 0
Factor -10*p**3 + 3*p**4 + 5*p**4 - 3*p**4 + 15*p**2 + 23*p**2 - 33*p**2.
5*p**2*(p - 1)**2
Let k(f) be the first derivative of f**6/3 - 2*f**5/5 - f**4/2 + 2*f**3/3 - 132. Solve k(a) = 0.
-1, 0, 1
Let q(k) be the first derivative of -k**4/14 - 8*k**3/7 - 48*k**2/7 - 128*k/7 - 576. Determine n, given that q(n) = 0.
-4
Let z(t) be the third derivative of -61*t**5/30 + 181*t**4/12 + 2*t**3 - t**2 + 213*t. Factor z(s).
-2*(s - 3)*(61*s + 2)
Let i = 2649/10 + -902/5. Let w = 85 - i. Find c such that 1/2 + c**3 - w*c**5 - 1/2*c + 1/2*c**4 - c**2 = 0.
-1, 1
Let r be (-5)/5*((-36)/(-3))/(-2). Suppose 2*u + 16 = -13*s + 16*s, 2*s = -2*u - r. Determine x so that -4/21*x**4 + 0*x + 0*x**3 + 0 - 2/21*x**5 + 0*x**s = 0.
-2, 0
Let f = -947 - -949. Factor 2*l**f + 0 - 3/2*l.
l*(4*l - 3)/2
Let v(c) be the first derivative of c**8/1008 - c**6/90 - c**5/90 + c**4/24 + c**3/9 + 5*c**2/2 - 9. Let n(u) be the second derivative of v(u). Factor n(h).
(h - 2)*(h - 1)*(h + 1)**3/3
Factor -18/5 + 6/5*m**2 + 52/5*m.
2*(m + 9)*(3*m - 1)/5
Let u(y) be the first derivative of y**8/10920 + y**7/1365 + y**6/585 + 7*y**3/3 - 4. Let q(w) be the third derivative of u(w). Find s such that q(s) = 0.
-2, 0
Let h(b) be the second derivative of b**7/98 + 57*b**6/14 + 9747*b**5/14 + 925965*b**4/14 + 52780005*b**3/14 + 1805076171*b**2/14 - 92*b. Factor h(j).
3*(j + 57)**5/7
Suppose -4*s = -3*j + 22, -4*s - 18 = -5*j - 2*s. Suppose 0 = -j*x + 7 - 3. Let -3*d**3 - d - 3*d**2 + 0*d**3 - d**4 + 2*d**3 - x*d**3 = 0. What is d?
-1, 0
Let d(b) be the third derivative of 0*b**4 + 0 + 1/315*b**7 + 0*b**5 + 0*b + 1/360*b**6 + 4*b**2 + 0*b**3 + 1/1008*b**8. Factor d(p).
p**3*(p + 1)**2/3
Let t be (-7)/6*376/(-329). Factor 2/3*v**3 + 2/3*v + t*v**2 + 0.
2*v*(v + 1)**2/3
Let z = 43982 + -43982. Solve 0*v + z - 10/7*v**4 + 4/7*v**5 - 8/7*v**3 + 6/7*v**2 = 0 for v.
-1, 0, 1/2, 3
Suppose -144/11 - 60/11*t**4 - 444/11*t**2 - 6/11*t**5 - 234/11*t**3 - 408/11*t = 0. Calculate t.
-3, -2, -1
Let w(u) = 6 + u**2 + 9*u**2 - 7*u**3 - 3*u**2 + 5*u + u**2. Let i = 65 - 59. Let r(n) = 8*n**3 - 9*n**2 - 6*n - 7. Let q(o) = i*r(o) + 7*w(o). Factor q(p).
-p*(p - 1)**2
Let b(m) be the first derivative of 5/12*m**6 - 3 + 5/6*m**3 + 0*m**2 + 15/8*m**4 + 0*m + 3/2*m**5. Factor b(a).
5*a**2*(a + 1)**3/2
Suppose -1 = -3*p + 2*u, 2*p - 6 = -7*u + 3*u. Let h(l) = -l**3 - 5*l**2 + 2. Let g be h(-5). Factor 3*a**g + a**2 + 7 + p + 0 - 12*a.
4*(a - 2)*(a - 1)
Let q(a) = -a**4 + 13*a**3 - 16*a**2 + 20*a + 8. Let n(d) = d**4 - 14*d**3 + 14*d**2 - 20*d - 10. Let t(r) = -4*n(r) - 5*q(r). Factor t(w).
w*(w - 5)*(w - 2)**2
Let v(r) be the second derivative of -r**5/20 - r**4/6 + 4*r**3/3 - 62*r. Factor v(d).
-d*(d - 2)*(d + 4)
Let y = -22/161 - -6638/1449. Let h = 45 + -373/9. Find n such that -y*n - 8/9 + 8/9*n**5 - 26/9*n**2 + h*n**3 + 34/9*n**4 = 0.
-2, -1, -1/4, 1
Factor -12/17*o - 10/17*o**2 - 2/17.
-2*(o + 1)*(5*o + 1)/17
Let r(g) be the second derivative of -1/98*g**7 - 3/70*g**6 + 0 + 0*g**4 - 3/70*g**5 + 0*g**2 - 11*g + 0*g**3. Factor r(n).
-3*n**3*(n + 1)*(n + 2)/7
Let z(s) be the first derivative of 0*s + 5 + 3/2*s**2 + 3*s**3 + 3/2*s**4. Suppose z(o) = 0. What is o?
-1, -1/2, 0
Let d be (-6)/(-24) + 18/(-8). Let f(r) = r**2 + 1. Let i(m) = -8*m**2 + 2*m - 6. Let w(l) = d*i(l) - 12*f(l). Determine y so that w(y) = 0.
0, 1
Suppose 0 = -52*y + 207 - 13 + 14. Suppose -2/3*o**2 + 0 - 14/3*o**y + 0*o - 2*o**5 - 10/3*o**3 = 0. Calculate o.
-1, -1/3, 0
Suppose 5*f = 150 - 130. Suppose 3*b + 2*a - 28 + 13 = 0, -4*b + 20 = a. Find s such that 1 + 2*s**3 + b*s**2 - 7 + 2*s - f*s**3 + s**2 = 0.
-1, 1, 3
Let g(l) be the third derivative of -l**7/210 - l**6/60 + l**5/20 + l**4/3 + 2*l**3/3 + 134*l**2. Solve g(j) = 0 for j.
-2, -1, 2
Suppose -5*k - 5 = 3*v, 0 = -4*v - 33*k + 36*k + 3. Let -8/11*n + v - 8/11*n**2 - 2/11*n**3 = 0. What is n?
-2, 0
Let q = 4 + 3. Let k = -5 + q. Solve 3*x**k + 0*x**2 - x**2 - 4*x = 0 for x.
0, 2
Suppose 23*g + 7821 - 7913 = 0. Factor -5/4*w**g - 5/2*w + 0 + 15/4*w**2 + 0*w**3.
-5*w*(w - 1)**2*(w + 2)/4
Let n(x) = 7*x**2 + 24*x - 26. Let y(d) = 3*d**2 + 12*d - 13. Let t(z) = -2*n(z) + 5*y(z). Factor t(f).
(f - 1)*(f + 13)
Let u(f) = f**3 - 27*f**2 + 26*f + 21. Let w be u(26). Factor 83*p - 4*p**2 - 134 - 542 + w*p.
-4*(p - 13)**2
Let q(y) be the second derivative of 3*y**7/14 + y**6/10 - 33*y**5/20 + 3*y**4/4 + 4*y**3 - 6*y**2 - 8*y + 17. Let q(v) = 0. Calculate v.
-2, -1, 2/3, 1
Let s(x) be the first derivative of 2*x**6/15 - x**5/5 - 5*x**4/3 - 2*x**3 - 13*x - 9. Let a(b) be the first derivative of s(b). Suppose a(f) = 0. Calculate f.
-1, 0, 3
Let s(x) be the third derivative of x**7/490 + 2*x**6/35 + 9*x**5/14 + 25*x**4/7 + 125*x**3/14 + 4*x**2 + 10*x. Suppose s(t) = 0. Calculate t.
-5, -1
Suppose 5*m + 5 = -5*f, 37 = 7*m + 16*f - 20*f. Suppose -4*k - 24 = -2*y, 4*k + 0*k - 4 = -5*y. Factor 0*p + 4/7*p**2 + 18/7*p**m + 0 + 24/7*p**y + 10/7*p**5.
2*p**2*(p + 1)**2*(5*p + 2)/7
Let k(p) be the third derivative of -p**4/6 - 26*p**3/3 + 28*p**2. Let z be k(-16). Factor 18*f - z + 3/2*f**3 - 9*f**2.
3*(f - 2)**3/2
Let n(o) be the third derivative of 0*o**5 + 0 + 0*o + 1/24*o**6 + 0*o**3 + 0*o**4 + 8*o**2 + 1/42*o**7. Find s such that n(s) = 0.
-1, 0
What is j in -243*j**3 - 27 + 27*j - 252*j**3 + 3*j**2 + 492*j**3 = 0?
-3, 1, 3
Let t(j) = 13*j**4 + 97*j**3 - 158*j**2 - 7310*j - 27641. Let u(m) = -9*m**4 - 65*m**3 + 106*m**2 + 4874*m + 18427. Let s(r) = -5*t(r) - 7*u(r). Factor s(w).
-2*(w - 9)*(w + 8)**3
Let n = -76 - -106. Let z = -28 + n. Let 38*j**3 - 4 + 26*j**2 - 12*j**5 + 4*j - 20*j**4 - 2*j**z - 30*j**3 = 0. What is j?
-1, 1/3, 1
Let z(y) be the second derivative of -30*y + 0*y**2 + 0 - 1/3*y**3 - 1/12*y**4. Factor z(t).
-t*(t + 2)
Let m(v) = -2*v**3 - 16*v**2 - 13*v + 7. Let i be m(-7). Let o(d) be the first derivative of i*d + 0*d**3 + 0*d**2 + 1/4*d**4 - 3. Let o(p) = 0. Calculate p.
0
Let l be -57 - 1/2*6. Let p be l/(-15) + (1 - 1). Factor -8*c**2 - c**4 + 4*c - 2*c**4 + 4*c**4 + 7*c**p - 4*c**5.
-4*c*(c - 1)**3*(c + 1)
Let h = -629/19 + 637/19. Factor -2/19*p**4 + h*p**2 + 4/19*p**3 - 16/19*p + 0.
-2*p*(p - 2)**2*(p + 2)/19
Let k be -60*5*(-19)/1425. Factor 2*n + 10/7*n**3 + 4/7 + 2/7*n**k + 18/7*n**2.
2*(n + 1)**3*(n + 2)/7
Let n = 175/3 - 57. Let t = -8335 + 8335. Factor -1/3*f**5 - 1/3*f - 2*f**3 - 4/3*f**2 + t - n*f**4.
-f*(f + 1)**4/3
Let x(l) be the first derivative of 5 - 2/27*l**3 + 5/9*l**2 - 4/3*l. Factor x(u).
-2*(u - 3)*(u - 2)/9
Let w = 1461 - 1458. Let y(k) be the second derivative of 2/21*k**7 + w*k + 1/5*k**5 + 0*k**4 + 0*k**3 + 0 + 0*k**2 + 4/15*k**6. Factor y(o).
4*o**3*(o + 1)**2
Let o = -70179/40 + 8773/5. Let -1/4*u**2 + 1/8*u**5 + 1/4*u**4 + 0*u - o*u**3 + 0 = 0. Calculate u.
-2, -1, 0, 1
Let y(v) be the third derivative of -v**6/80 + 333*v**5/40 - 36963*v**4/16 + 1367631*v**3/4 + 78*v**2 + 1. Factor y(u).
-3*(u - 111)**3/2
Let q = -2 - -4. Let a be -3*-3*(-4)/(-12). Suppose -h**a + 50*h**5 + 11*h**q - 3*h**2 - 31*h**3 + 10*h**4 = 0. What is h?
-1, 0, 2/5
Suppose 10*w + 64*w = 0. Suppose 0 - 3/8*o**5 + w*o**3 + 0*o + 0*o**2 + 0*o**4 = 0. Calculate o.
0
Let h(g) be the third derivative of 3*g