or 6 - 78*g + u + 35*g**2 + 9*g - 46*g.
5*(g - 3)*(7*g - 2)
Let o be ((-13)/(-2))/(12/48). Factor 4*v - 12*v**2 + o*v**2 - 5 + 8*v**3 + 3.
2*(v + 1)**2*(4*v - 1)
Let f be (5 + -7)*(-1 + 25/(-2)). Let -14*q + 63*q**3 + 51*q**4 + 16*q**2 - 9*q**5 - f*q**5 + 2*q - 52*q**2 = 0. What is q?
-1, -1/4, 0, 2/3, 2
Let d be 0*(1 - (11 - 12))/(0 + 4). Factor d*n + 0 + 3/2*n**4 + 0*n**3 - 3/2*n**2.
3*n**2*(n - 1)*(n + 1)/2
Find d such that -25*d - 135*d**4 + 29*d**3 + 152*d + 301*d**3 - 31*d - 66*d + 215*d**2 = 0.
-1/3, -2/9, 0, 3
Let w(n) be the third derivative of -1/45*n**6 + 0 - 1/18*n**4 + 0*n + 10*n**2 - 1/18*n**5 - 1/315*n**7 + 0*n**3. Factor w(k).
-2*k*(k + 1)**2*(k + 2)/3
Let l be 14/8 + (-20)/80. Let r(c) be the first derivative of -3/2*c**4 + l*c**2 + 0*c + 0*c**3 + 1/2*c**6 + 2 + 0*c**5. Factor r(j).
3*j*(j - 1)**2*(j + 1)**2
Let j(b) be the first derivative of -b**2 + 8/3*b**3 - 12*b - 21 - 1/2*b**4. Factor j(q).
-2*(q - 3)*(q - 2)*(q + 1)
Let c(k) = k**3 + k**2 + k. Let x(j) = 2*j**3 - 12*j**2 + 36*j - 17. Let g(u) = 3*c(u) - x(u). Factor g(o).
(o - 1)**2*(o + 17)
Factor 0*g**4 + 10*g**5 + 15*g**3 - 25*g**3 + 5*g**5 + 5 - 6*g**2 + g**4 - 12*g**5 + 7*g.
(g - 1)*(g + 1)**3*(3*g - 5)
Let u(m) = -5*m**4 + 100*m**3 + 18*m**2 - 313*m + 201. Let s(t) = 3*t**2 - 3*t + 1. Let v(r) = s(r) - u(r). Determine g so that v(g) = 0.
-2, 1, 20
Let m(q) = -q**3 + 10*q**2 + 3. Let v be m(10). Factor 685*p + 12 + 3*p**2 + 0*p**4 - 3*p**4 - 709*p + 15*p**3 - v*p**5.
-3*(p - 1)**3*(p + 2)**2
Let u(r) be the third derivative of -r**8/5040 - r**7/1260 - r**6/1080 - 7*r**4/12 + 20*r**2. Let q(b) be the second derivative of u(b). Factor q(p).
-2*p*(p + 1)*(2*p + 1)/3
Suppose 343*h = 339*h - 2*c + 2, -4*h + 4*c = 4. Factor 4*z**3 + 16/3*z**2 + 4/3*z + h.
4*z*(z + 1)*(3*z + 1)/3
Let o(b) be the first derivative of -3*b**4/4 - 13*b**3 - 165*b**2/2 - 225*b + 114. Factor o(u).
-3*(u + 3)*(u + 5)**2
Let l(q) = -q**2 - 2*q + 2. Let a be l(-2). Let s = 156/11 - 14. Suppose 4/11*c + 0 - s*c**a = 0. Calculate c.
0, 2
Let u be 11 - (-2)/(-6)*1845/(-246). Let n = 9 + 0. Factor 3/2 - n*t + u*t**2.
3*(3*t - 1)**2/2
Let p(q) be the second derivative of 2*q**7/3 + 32*q**6/15 + 11*q**5/5 + 2*q**4/3 - 31*q - 3. Factor p(m).
4*m**2*(m + 1)**2*(7*m + 2)
Let d(t) be the first derivative of -t**6/21 + 32*t**5/35 - 11*t**4/2 + 28*t**3/3 + 85. Find z such that d(z) = 0.
0, 2, 7
Determine c, given that -175*c + 20*c**5 - 29*c**4 + 148*c - 5*c**2 + 167*c - 100 + 280*c - 290*c**3 - 16*c**4 = 0.
-2, 1/4, 1, 5
Let l(h) be the first derivative of -h**6/27 + 8*h**5/45 + h**4/9 - 8*h**3/9 - h**2 + 4. Factor l(z).
-2*z*(z - 3)**2*(z + 1)**2/9
Let t(d) be the third derivative of 0*d - 1/330*d**6 + 0 + 1/1848*d**8 + 1/165*d**5 - 1/1155*d**7 - 1/33*d**3 + 1/132*d**4 + 25*d**2. Factor t(w).
2*(w - 1)**3*(w + 1)**2/11
Let l(z) be the first derivative of 22*z**3 + 27*z - 21/5*z**5 - 6*z**4 + 45*z**2 + z**6 + 26. Suppose l(v) = 0. Calculate v.
-1, -1/2, 3
Let s(i) be the first derivative of 8*i - i**4 + 4/5*i**5 - 14 - 4*i**3 + 2*i**2. Find w such that s(w) = 0.
-1, 1, 2
Let h(b) be the third derivative of b**9/3024 + b**8/1344 - b**7/252 + 11*b**4/24 - 18*b**2. Let u(g) be the second derivative of h(g). Factor u(s).
5*s**2*(s - 1)*(s + 2)
Factor 1/2*k**3 + 0 + 5/2*k + 3*k**2.
k*(k + 1)*(k + 5)/2
Solve 6*t**4 - 15/2*t**3 + 0*t + 3/2*t**2 + 0 = 0.
0, 1/4, 1
Let i(j) = -5*j**3 + 7*j**2 + 13*j - 15. Let k(y) = 9*y**3 - 13*y**2 - 25*y + 29. Let c(u) = -5*i(u) - 3*k(u). What is t in c(t) = 0?
-2, 1, 3
Suppose m + 5*n = 29, 3*n - 7*n + 20 = 0. Let t(w) = w**2 - 8*w - 4. Let b be t(9). Factor 0 - 6/13*o**3 + 2/13*o**b + 8/13*o**2 + 8/13*o - 4/13*o**m.
2*o*(o - 2)**2*(o + 1)**2/13
Let j(h) = 23*h**4 - 247*h**3 - 310*h**2 + 281*h + 236. Let q(c) = -4*c**4 + 41*c**3 + 52*c**2 - 47*c - 39. Let u(d) = 6*j(d) + 34*q(d). Solve u(y) = 0 for y.
-1, 1, 45
Let l(s) be the first derivative of -1 - 2/11*s**3 - 30/11*s**2 - 150/11*s. Factor l(o).
-6*(o + 5)**2/11
Let u be 195/75 + (-3)/5. Let r(m) be the first derivative of -4 + 3/8*m**4 + 3/4*m**u + 0*m - m**3. Find y such that r(y) = 0.
0, 1
Let x(w) = -4*w**2 - 23*w - 3. Suppose -3*m - 12 = -u, -4*m = 5*u - 7*m. Let r(y) = -5*y**2 - 23*y - 4. Let d(z) = u*r(z) + 2*x(z). Factor d(t).
(t + 3)*(7*t + 2)
Let s be (31/3)/(-31)*10/(-2). Factor -s*v**4 + 1/3 + 2/3*v**5 + 4/3*v**2 - 4/3*v + 2/3*v**3.
(v - 1)**3*(v + 1)*(2*v - 1)/3
Let x be 260/13*(-4)/10. Let h(g) = g**3 + 9*g**2 + 3*g - 35. Let j be h(x). Determine o so that -30*o**j - 8/3*o**2 + 0 - 34/3*o**4 + 16*o**3 + 0*o = 0.
-1, 0, 2/9, 2/5
Let p = -33/328 - 1/41. Let c = 43/8 - p. Factor c*o - 3 - 3/2*o**2.
-(o - 3)*(3*o - 2)/2
Let m be -5 + (12 - (8 + -4)). Factor -17153 + 4*y**m + 17153.
4*y**3
Let f(x) be the third derivative of -x**5/90 - 7*x**4/36 + 8*x**3/9 + 93*x**2. Factor f(j).
-2*(j - 1)*(j + 8)/3
Suppose -85*c + 83*c = -10. Let j(m) be the third derivative of -1/3*m**4 - 4/3*m**3 + 0 + 0*m - 4*m**2 + 1/10*m**c. Let j(u) = 0. Calculate u.
-2/3, 2
Let g(b) be the third derivative of b**5/300 + 11*b**4/30 + 242*b**3/15 + 78*b**2. Determine j so that g(j) = 0.
-22
Suppose -t + 10 = 4*w - 7, 0 = -5*w + t + 28. Let x(n) be the third derivative of -4*n**2 + 0 + 1/40*n**w - 1/4*n**4 + 3/4*n**3 + 0*n. Solve x(i) = 0 for i.
1, 3
Let k = 908 - 907. Let u(w) be the first derivative of -w**3 + 3/4*w**2 - 3/8*w**4 - k + 3*w. Solve u(h) = 0 for h.
-2, -1, 1
Let a(j) be the third derivative of -j**7/70 + j**6/10 - j**5/10 - j**4/2 + 3*j**3/2 - 22*j**2. Factor a(k).
-3*(k - 3)*(k - 1)**2*(k + 1)
Solve -8*x**5 - 12*x**4 - 4*x**5 + 3*x**5 - 11*x**3 + 8*x**3 = 0 for x.
-1, -1/3, 0
Let p be (2/(-2))/(-11) + ((-14994)/374 - -43). Factor 1/7*d**p + 64/7 + 17/7*d**2 + 80/7*d.
(d + 1)*(d + 8)**2/7
Let c(s) = 16*s**2 + 12*s + 4. Let v(j) = -17*j**2 - 7*j + j - 4 - j + j**3 - 5*j. Let f(q) = -5*c(q) - 4*v(q). Factor f(o).
-4*(o + 1)**3
Let t(n) be the third derivative of n**7/21 - 23*n**6/60 + n**5/3 + 2*n**4/3 - 31*n**2. Determine i, given that t(i) = 0.
-2/5, 0, 1, 4
Let w = 24 + -21. Let s be (w*(-2 + 0))/(-2). Factor 0 + 1/2*k**2 + 1/4*k**s + 1/4*k.
k*(k + 1)**2/4
Let s = -1441 - -1441. Suppose -6/5*q - 2*q**3 - 2/5*q**4 - 14/5*q**2 + s = 0. Calculate q.
-3, -1, 0
Let a = -411 + 414. Let j(v) be the first derivative of 9/5*v**5 - 3/2*v**4 - 2*v**3 - 5 - 1/2*v**6 - a*v + 9/2*v**2. Factor j(p).
-3*(p - 1)**4*(p + 1)
Let n(c) be the first derivative of c**4/2 + c**3 + 3*c**2 - c - 7. Let d(m) = 2*m**3 + 4*m**2 + 6*m. Let w(l) = 3*d(l) - 2*n(l). Factor w(i).
2*(i + 1)**3
Let b(a) be the second derivative of 3*a**5/20 + 5*a**4/4 + 7*a**3/2 + 9*a**2/2 + 59*a. Factor b(m).
3*(m + 1)**2*(m + 3)
Factor -10 + 71/2*a + 5/4*a**3 - 107/4*a**2.
(a - 20)*(a - 1)*(5*a - 2)/4
Find j such that 3/2*j**2 - 1/2*j**4 + 7*j**3 - 20*j - 14 = 0.
-1, 2, 14
Let z(x) be the second derivative of -x**6/150 + 2*x**5/5 - 20*x**4/3 + 290*x. Suppose z(a) = 0. What is a?
0, 20
Let m(y) be the second derivative of -y**6/135 + y**5/18 + 13*y**4/54 + 7*y**3/27 - 2*y + 15. Find r, given that m(r) = 0.
-1, 0, 7
Let l = -1585 - -4756/3. Suppose 0 - l*u**2 - u = 0. What is u?
-3, 0
Determine r, given that -10*r - 382*r**2 + 766*r**2 - 379*r**2 = 0.
0, 2
Let t(z) be the second derivative of z**7/560 - z**6/240 - z**5/8 - z**4/2 + 8*z**3/3 - 22*z. Let d(f) be the second derivative of t(f). Factor d(j).
3*(j - 4)*(j + 1)*(j + 2)/2
Let c(r) = r**2 - 12 - 12 + 24. Let l(n) be the second derivative of n**4/12 - 4*n**3/3 + 2*n**2 + 4*n. Let s(h) = -3*c(h) - l(h). Solve s(f) = 0.
1
Let u = 89951/5 + -17990. Factor -2/5 + 3/5*w**2 - 1/5*w - 1/5*w**4 + u*w**3.
-(w - 2)*(w - 1)*(w + 1)**2/5
Let d be (-1)/((-4)/(-2))*(-36)/(7 + 2). Factor 0 - 4/9*l**d - 2/9*l**3 - 2/9*l.
-2*l*(l + 1)**2/9
Let u(h) = h**2 + h + 1. Suppose -53 = 5*z - 33. Let a(j) = j**3 - 4*j**2 - j - 5. Let v(q) = z*a(q) - 36*u(q). What is c in v(c) = 0?
-2, -1
Let g(b) be the second derivative of 2*b**6/15 - 11*b**5/5 - b**4 + 62*b**3/3 + 44*b**2 - 29*b + 2. Factor g(w).
4*(w - 11)*(w - 2)*(w + 1)**2
Let v be 36/(-27)*(10/(-4) - -1). Let f be (v/36)/(-3 + 60/18). Factor 3/2 - z + f*z**2.
(z - 3)**2/6
Let f(g) = g**2 - 8*g + 14. Suppose 4*r - r = 30. Let c be f(r). Let 34 + 2*l**4 - 3*l**5 - c = 0. Calculate l.
0, 2/3
