/15 - 6*d**2 - 9. Let r(h) be the second derivative of q(h). Factor r(g).
-4*g**2*(g + 3)/3
Let b(o) be the first derivative of o**4/4 - o**3 + o**2 + 2*o - 6. Let i be b(2). Factor -v**3 - 4*v**2 - 2*v - i*v**3 - 3 - 5*v**2 - 7*v.
-3*(v + 1)**3
Let u(f) = f**2 - 7*f - 3. Let v be u(7). Let l be (-21)/(-36) - (v + (-13)/(-4)). Factor -l*c**2 + 0*c + 0.
-c**2/3
Let a(r) be the first derivative of r**8/840 + r**7/140 + r**6/60 + r**5/60 - r**3 + 12. Let h(m) be the third derivative of a(m). Find n such that h(n) = 0.
-1, 0
Find j such that 5*j**5 + 5*j**2 - 166*j**3 + 161*j**3 + 0*j**2 - 5*j**4 = 0.
-1, 0, 1
Let z(m) be the third derivative of m**6/180 - m**5/20 + m**4/6 + 19*m**3/6 + 11*m**2. Let l(f) be the first derivative of z(f). Determine k so that l(k) = 0.
1, 2
Let t(c) = c. Let j(x) = x**2 + 7*x + 5. Suppose 2*f = -f + 3. Let d(g) = f*j(g) - t(g). Factor d(a).
(a + 1)*(a + 5)
Let o(y) be the third derivative of -1/330*y**5 + 0*y - 1/6*y**3 - 3*y**2 + 0 + 1/1980*y**6 + 1/132*y**4. Let r(m) be the first derivative of o(m). Factor r(g).
2*(g - 1)**2/11
Determine v, given that -55/8*v**4 + 7*v**3 + 2 + 11*v**2 - 10*v - 25/8*v**5 = 0.
-2, 2/5, 1
Factor 0 - 18*h - 1/2*h**2.
-h*(h + 36)/2
Let q(j) be the third derivative of j**5/24 - 65*j**4/48 + 35*j**3/2 - 35*j**2. Factor q(n).
5*(n - 7)*(n - 6)/2
Factor -5/3*m**4 + 1/3*m**3 - 4/3*m + 20/3*m**2 + 0.
-m*(m - 2)*(m + 2)*(5*m - 1)/3
Suppose 8*q = 7*q + 6. Let a(b) = -b**5 + 8*b**4 + 9*b**3. Let m(n) = -n**5 + 7*n**4 + 8*n**3. Let r(t) = q*m(t) - 5*a(t). Factor r(h).
-h**3*(h - 3)*(h + 1)
Let i be (285/(-1368))/((-5)/2). Let t(c) be the second derivative of c + i*c**4 - 1/3*c**3 + 0 + 1/2*c**2. Factor t(l).
(l - 1)**2
Let b(c) be the second derivative of c**5/180 + c**4/24 + c**3/9 + 9*c**2 - 22*c. Let i(m) be the first derivative of b(m). Factor i(a).
(a + 1)*(a + 2)/3
Factor 208 + 11*w**3 - 338*w**2 + 3*w**3 - 2*w**4 + 296*w + 470*w**2.
-2*(w - 13)*(w + 2)**3
Let d(s) = -s + 17. Let p be d(14). Factor 19*t**p - 20*t**3 + t**5 + 0*t**5.
t**3*(t - 1)*(t + 1)
Let d(g) be the first derivative of 3*g**7/560 - 11*g**6/720 + g**5/120 + 44*g**3/3 + 22. Let t(r) be the third derivative of d(r). Factor t(k).
k*(k - 1)*(9*k - 2)/2
Let u(j) = -9*j**2 + 8*j + 164. Let w(f) = -8*f**2 + 11*f + 163. Let y(k) = -3*u(k) + 4*w(k). Factor y(i).
-5*(i - 8)*(i + 4)
Let j(f) be the second derivative of 1/32*f**4 - 1/80*f**5 + 1/8*f**3 - 5/2*f**2 + 0 - 1/160*f**6 + f. Let d(s) be the first derivative of j(s). Factor d(h).
-3*(h - 1)*(h + 1)**2/4
Let x(v) be the third derivative of 12*v**2 + 0*v - 1/360*v**5 + 1/360*v**6 + 0*v**4 + 0*v**3 + 1/420*v**7 + 0. Suppose x(u) = 0. What is u?
-1, 0, 1/3
Suppose -37*a + 42*a = 2*h - 4, 5*a = -h + 2. Solve 4/3*t + 2/3*t**h + 2/3 = 0 for t.
-1
Factor 0 + 0*d**2 + d**4 + 2/3*d**3 + 1/3*d**5 + 0*d.
d**3*(d + 1)*(d + 2)/3
Let j(b) be the third derivative of b**5/60 + 17*b**4/12 + 11*b**3/2 - 34*b**2. Factor j(x).
(x + 1)*(x + 33)
Factor -2/11*z**2 - 8/11 - 10/11*z.
-2*(z + 1)*(z + 4)/11
Suppose -2*a + 4 = -2. Suppose 0 = -k + 3*k - 6. Suppose -k*x**3 + 4*x**3 - a*x + 2*x = 0. Calculate x.
-1, 0, 1
Let h = -106407/4 + 26604. Suppose 3/4*m**3 + h*m**4 + 0 - 9/4*m**2 + 3/4*m**5 - 3/2*m = 0. Calculate m.
-2, -1, 0, 1
Suppose -4*n - 31 = 5*f - 7*n, 2*f + 31 = -5*n. Let q be f/(-44) + 5/33. Factor -q - 1/2*g**3 + 7/6*g - 1/3*g**2.
-(g - 1)*(g + 2)*(3*g - 1)/6
Let g be (-10)/5*(4 - 7 - -2). Let t(c) be the first derivative of -3*c**3 - 3/4*c**4 + 11 - 9/2*c**g - 3*c. Factor t(f).
-3*(f + 1)**3
Suppose 0 = 4*b - 2*m + 22, -7*b + 5*m = -2*b + 35. Let w be b/22 + (-2)/(-132)*375. Let 0 - 3*o**2 - 1/2*o - w*o**3 - 3*o**4 = 0. What is o?
-1, -1/2, -1/3, 0
Let n(q) = -q**2 + q + 6. Let z be n(0). Suppose -4*l + 3*l + z = 0. Suppose c**3 - 8*c**5 + 2*c**4 + 15*c**5 - l*c**5 = 0. What is c?
-1, 0
Let v(k) = 2*k**3 + 5*k**2 + 4*k + 4. Let m be v(-2). What is d in 4/21*d**2 + 2/21*d**3 - 2/21*d**4 + m + 0*d = 0?
-1, 0, 2
Let k = -2/545 - -121/3270. Let o(d) be the second derivative of -k*d**6 - 1/20*d**5 + 3*d + 0 + 1/12*d**4 + 0*d**2 + 1/6*d**3. Factor o(z).
-z*(z - 1)*(z + 1)**2
Find j such that -64/3 + 4*j**3 - 152/3*j - 76/3*j**2 = 0.
-1, -2/3, 8
Let d = 1120 + -1116. Let l(b) be the second derivative of 1/54*b**d + 16/9*b**2 + 0 - 8/27*b**3 - 14*b. What is u in l(u) = 0?
4
Let k(s) be the third derivative of 2*s**5/105 + 347*s**4/84 - 29*s**3/7 - 4*s**2 - 34. Determine p so that k(p) = 0.
-87, 1/4
Factor 2*a**3 + a**3 + 5*a + 0*a**3 - 8*a.
3*a*(a - 1)*(a + 1)
Let r(b) be the third derivative of 0*b**3 + 1/90*b**5 + 0*b + 0*b**4 + 1/72*b**6 + 0 - 1/90*b**7 + 9*b**2. Let r(c) = 0. What is c?
-2/7, 0, 1
Let z = -42 + 37. Let m(c) = c**3 + 5*c**2 - c - 3. Let g be m(z). Let 1 + b**g - 3 + 2 - 1 = 0. Calculate b.
-1, 1
Suppose y - 2 = -0. Suppose -f + 151*f = 21*f + 387. What is i in -2/3*i**f + 2*i**2 + 2/3 - y*i = 0?
1
Let b be (3 + (7 - 15))*6/(-10). Suppose -4*i + 3*f + 2 = 0, b*f = 2*i - f + 4. Factor -1/2*g**i - 1/2*g + 0.
-g*(g + 1)/2
Let r(f) be the third derivative of f**6/360 + f**5/18 + 25*f**4/72 - 11*f**2 + 35. Suppose r(x) = 0. Calculate x.
-5, 0
Let a = 7061/3 + -2353. Factor a*j + 0 - 2/3*j**3 + 1/3*j**2 - 1/3*j**4.
-j*(j - 1)*(j + 1)*(j + 2)/3
Let i(m) be the first derivative of -m**4/14 + 4*m**3/21 + 13*m**2/7 + 20*m/7 - 76. Find t, given that i(t) = 0.
-2, -1, 5
Let t(m) = 9*m**4 + 4*m**3 - 17*m**2 + 4*m + 3. Let c(q) = 18*q**4 + 7*q**3 - 33*q**2 + 8*q + 7. Let v(l) = 3*c(l) - 7*t(l). Determine f, given that v(f) = 0.
-2, 0, 2/9, 1
Let p(t) = 8*t - 16. Let c be p(2). Factor 18*u + c*u**2 - 6 + 6 - 3*u**2.
-3*u*(u - 6)
Let m = 1401737/14820 - 1135/12. Let c = 17281/11115 + m. Factor -4/9 - 2/9*w**4 + c*w + 10/9*w**3 - 2*w**2.
-2*(w - 2)*(w - 1)**3/9
Suppose 6*b = b + 30. Suppose 2*a - b = -5*p, 3*p + 4*a = -0*a - 2. Factor 0 - 14/9*j**p - 4/9*j.
-2*j*(7*j + 2)/9
Let v(n) = -5*n**5 - 955*n**4 + 925*n**3 - 35. Let y(f) = -f**5 - 159*f**4 + 154*f**3 - 6. Let p(a) = 6*v(a) - 35*y(a). Let p(o) = 0. What is o?
0, 1, 32
Let z(d) = -d**4 + d**3 + d**2 - 1. Let l(m) = 5*m**3 - 2. Let h(j) = -2*l(j) + 4*z(j). Factor h(t).
-2*t**2*(t + 2)*(2*t - 1)
Let b(g) be the third derivative of g**9/52920 - g**8/7840 + g**7/2940 - g**6/2520 + g**4/24 + 3*g**2. Let l(s) be the second derivative of b(s). Factor l(n).
2*n*(n - 1)**3/7
Let a be 265/10 + 1/(-2). Let z = a + -23. Determine i so that -16*i - 5 + 4*i**4 - 5*i**2 + 9 - 16*i**z + 29*i**2 = 0.
1
Let 15747 - 14330*j**2 - 5705*j**3 + 23943 + 2286*j**2 - 170961*j**2 + 64463*j - 202118*j - 45*j**4 = 0. What is j?
-63, -1, 2/9
Let g be (-16)/40 - (-8)/20*11. Suppose -11 + 23 = 3*h. Factor -4*r**3 - 4/3*r + 4/3*r**g + h*r**2 + 0.
4*r*(r - 1)**3/3
Let r = -3397 + 23781/7. Determine x so that -4/7*x - r*x**2 + 0 = 0.
-2, 0
Let g(w) be the second derivative of -7*w**4/12 - 5*w**3/6 - 8*w. Let o(u) = 50*u**2 + 35*u. Let t(i) = -15*g(i) - 2*o(i). Solve t(y) = 0.
-1, 0
Suppose -55 = -16*z - 15 + 24. Let x be 3 + 1 + (-2)/2. Find h such that -z*h**3 + 0 - x*h**2 - 5/3*h**4 - 2/3*h = 0.
-1, -2/5, 0
Let h(s) = s**3 + s**2 - s + 1. Let q(o) be the first derivative of 2*o**5/5 - 9*o**4/4 + o**3 + o**2/2 - 3*o + 3. Let n(g) = 3*h(g) + q(g). Factor n(t).
2*t*(t - 1)**3
Let -2/3*p**2 + 0 + 4/5*p**4 + 4/15*p - 2/15*p**3 = 0. Calculate p.
-1, 0, 1/2, 2/3
Find g, given that 334 + 4*g**2 - 2*g**2 + 98 - 94 + 52*g = 0.
-13
What is g in 0*g - 76/13*g**3 + 0*g**2 + 0 + 186/13*g**4 + 10/13*g**5 = 0?
-19, 0, 2/5
Let m(q) be the third derivative of q**6/60 + q**5/5 - 5*q**4/4 + 8*q**3/3 + 377*q**2. Factor m(g).
2*(g - 1)**2*(g + 8)
Suppose 0 - 2*t + 5/11*t**3 + 53/11*t**2 = 0. Calculate t.
-11, 0, 2/5
Let q(c) be the first derivative of -1/14*c**4 + 45 + 1/7*c**2 + 2/7*c - 2/21*c**3. Factor q(x).
-2*(x - 1)*(x + 1)**2/7
Let f(y) = 5*y**2 - 12*y + 27. Let d(k) = -30*k**2 + 70*k - 165. Let r(l) = 4*d(l) + 25*f(l). Let r(g) = 0. Calculate g.
1, 3
Find l such that -20*l**2 - 19*l**2 + 39*l + 51*l**2 - 15*l**2 = 0.
0, 13
Let j(p) be the third derivative of p**8/84 - 8*p**7/105 + p**6/10 + 4*p**5/15 - 2*p**4/3 - 15*p**2 - 1. Determine y, given that j(y) = 0.
-1, 0, 1, 2
Let c(r) = 34*r - 132. Let v be c(4). Factor 0 + 8/5*l + v*l**2.
4*l*(5*l + 2)/5
Let s(w) = 4*w**3 + 67*w**2