 - r**5/420 - r**4/168 + 11*r**3/3 - 12. Let o(n) be the third derivative of d(n). Solve o(j) = 0.
-1
Let a be (-2)/(-11) - 4155*(-66)/1089. Factor -a*k + 147/2*k**2 + 216.
3*(7*k - 12)**2/2
Suppose 10 + 8 = 6*x. Let j(z) be the first derivative of 21/8*z**4 + 4 - 9/4*z**2 + 3/2*z**3 + 9/10*z**5 - x*z. Solve j(m) = 0 for m.
-1, 2/3
Let k be -2*((-77)/(-44) + 124/(-16)). Find t, given that -27/2*t**2 + 15/2*t**3 + k - 9*t = 0.
-1, 4/5, 2
Suppose -2*h = -h - 51. Let a = -25 + h. Determine y so that -a*y + 24*y + 3*y**2 - y**2 = 0.
0, 1
Let k(h) be the first derivative of h**4/3 + 10*h**3/3 - h - 26. Let b(f) be the first derivative of k(f). Determine y so that b(y) = 0.
-5, 0
Factor -240*w**2 - 21*w**3 - 128*w - 2*w**4 + 63*w**3 + 3072 - w**4 - w**4 + 2*w**4.
-2*(w - 8)**3*(w + 3)
Let y(z) be the first derivative of -5*z**6/3 - 48*z**5/5 - 41*z**4/2 - 20*z**3 - 8*z**2 - 281. Solve y(d) = 0 for d.
-2, -1, -4/5, 0
Let x(j) be the first derivative of -7*j**2/2 - 33*j - 61. Let n be x(-5). Solve 6/13 - 4/13*g - 2/13*g**n = 0 for g.
-3, 1
Let y(h) = 5*h**3 + 15*h**2 - 18. Let z(g) = -10*g**3 - 30*g**2 + 35. Let f(x) = x - 7. Let w be f(5). Let k(c) = w*z(c) - 5*y(c). Factor k(q).
-5*(q - 1)*(q + 2)**2
Let o(a) be the third derivative of -a**8/1344 + a**7/360 + a**6/144 - a**5/72 - 7*a**4/288 + a**3/24 - 28*a**2. Let o(m) = 0. What is m?
-1, 1/3, 1, 3
Suppose 15 = -3*v, -2*u - 3*v - 15 = -5*u. Let t(j) = -j**2 - 11*j - 8. Let d be t(-10). Factor 2/11*a - 2/11*a**3 - 2/11*a**4 + u + 2/11*a**d.
-2*a*(a - 1)*(a + 1)**2/11
Let g(j) = 3*j**4 - 2*j**3 - 2. Suppose -k = 3*k - 28. Let h(c) = 9*c**4 - 6*c**3 - 7. Let f(l) = k*g(l) - 2*h(l). What is p in f(p) = 0?
0, 2/3
Factor 44/7*b**2 + 18/7 + 2/7*b**4 - 48/7*b - 16/7*b**3.
2*(b - 3)**2*(b - 1)**2/7
Let s(c) = -4*c + 2. Let i be s(0). Let p(v) be the third derivative of 0*v + 0*v**3 + 3/8*v**4 - 1/40*v**6 + 1/10*v**5 + 0 - v**i. Suppose p(h) = 0. What is h?
-1, 0, 3
Let i(v) be the first derivative of v**4/4 - 2*v**3/3 + 2*v - 4. Let r(l) = -l**2 + 1. Let z(g) = -i(g) + 2*r(g). Factor z(q).
-q**3
Let k(q) be the first derivative of -q**5/210 - q**4/21 - q**3/7 - 9*q**2 - 6. Let j(b) be the second derivative of k(b). Determine n so that j(n) = 0.
-3, -1
Suppose 0 = -5*x + 16 - 6. Suppose -9*j - 21*j**x + 5 - 9*j - 4 + 2 = 0. What is j?
-1, 1/7
Let y(t) = 2*t**3 + 72*t**2 + 365*t + 805. Let n(q) = -4*q**2 + q - 1. Let g(u) = 5*n(u) + y(u). What is i in g(i) = 0?
-16, -5
Let j(q) = 68*q**4 - 72*q**3 - 8*q**2 - 12. Let s(c) = -27*c**4 + 29*c**3 + 3*c**2 + 5. Let r be 11 - (-4 - 9/(-3)). Let l(p) = r*s(p) + 5*j(p). Factor l(d).
4*d**2*(d - 1)*(4*d + 1)
Suppose 5*a - 23 = 3*t, -2 = -2*a - 2*t + 4. Find b, given that -17*b**3 - 15*b**3 + 8*b + 4 - 34*b**4 + 6*b**a - 8*b**5 - 8*b**2 = 0.
-1, 1/2
Let g(w) be the third derivative of w**5/360 + 17*w**4/72 + 11*w**3/12 - 5*w**2 + 55. Find h such that g(h) = 0.
-33, -1
Let j(b) be the third derivative of 0*b**4 - 4/27*b**3 + 0*b - 13*b**2 + 0 + 1/270*b**5. What is p in j(p) = 0?
-2, 2
Let k(y) be the second derivative of 2/3*y**2 - 4*y + 5/9*y**3 + 1/30*y**5 + 2/9*y**4 + 0. Factor k(p).
2*(p + 1)**2*(p + 2)/3
Factor 0*p - 3/8*p**4 + 0 + 0*p**2 + 1/4*p**3 + 1/8*p**5.
p**3*(p - 2)*(p - 1)/8
Suppose -10 = -4*t - t. Suppose 0 + 6 = t*b. Factor f**2 + f - 22*f**b - 3*f + 4*f - 21*f**4.
-f*(f + 1)*(3*f + 1)*(7*f - 2)
Let l(q) = -q**3 + 2*q**2 + q + 1. Let g = -139 + 135. Let f(s) = s**3 - 2*s**2 - s - 2. Let i(h) = g*l(h) - 3*f(h). Factor i(p).
(p - 2)*(p - 1)*(p + 1)
Let z(n) = 2*n**2 - 3*n + 2. Let a be z(3). Let r = a - 6. Factor -o + o + o**r + 4*o**3 - 5*o**3.
o**3*(o - 1)*(o + 1)
Let q(z) = z**2 - 24*z - 75. Let t be q(27). Let a(r) be the first derivative of 1/5*r**5 + 0*r**3 + 0*r**2 + 0*r + 1/6*r**t + 0*r**4 + 7. Factor a(x).
x**4*(x + 1)
Let a(y) = -3*y - 50. Let u be a(-16). Let b be (-3 + (-22)/(-8))*u. Factor b + 1/2*x**2 + x.
(x + 1)**2/2
Factor -4*f**4 + 0*f - 4/5*f**5 - 16/5*f**2 - 32/5*f**3 + 0.
-4*f**2*(f + 1)*(f + 2)**2/5
Let j(s) be the third derivative of 20*s**2 - 1/70*s**5 + 1/735*s**7 + 0 + 0*s**3 - 1/210*s**6 + 0*s**4 + 0*s. Find l, given that j(l) = 0.
-1, 0, 3
Factor -15*y**4 + 129/2*y + 54*y**3 - 87*y**2 + 3/2*y**5 - 18.
3*(y - 4)*(y - 3)*(y - 1)**3/2
Suppose -5*z + 141 = 3*n + 385, -3*z - 3*n = 150. Let a = -234/5 - z. Determine x so that -a*x**3 + 1/5*x**2 + 1/5*x - 1/5 = 0.
-1, 1
Suppose 61*w + 62*w = 8*w + 345. Factor 2*y**5 + 0*y**2 + 0*y + 1/2*y**w + 0 - 5/2*y**4.
y**3*(y - 1)*(4*y - 1)/2
Let b = 28 + -19. Let l(m) = -m**3 + 9*m**2 + 2*m - 6. Let k be l(b). Factor k*c - 13 + 5 - 2*c**2 - 2*c**2.
-4*(c - 2)*(c - 1)
Let t = 28205/2 + -14102. Factor -f**2 + t*f**3 + 0 + 0*f.
f**2*(f - 2)/2
Let u be (2/10)/((-6)/(-15)). Let p(w) = -w**2 + 5*w + 38. Let s be p(9). Let 0 + u*y**s + 0*y - 3/4*y**3 = 0. Calculate y.
0, 2/3
Let d(j) be the second derivative of -j**4/15 - 28*j**3/15 + 6*j**2 + 76*j. Factor d(t).
-4*(t - 1)*(t + 15)/5
Factor 102*o**3 + 24*o**4 + 7*o + 3*o + 60*o + 176*o**2 + 2*o**5 + 26*o.
2*o*(o + 1)*(o + 3)*(o + 4)**2
Let x(y) = 336*y**3 - 1250*y**2 + 1100*y + 211. Let b(i) = -67*i**3 + 250*i**2 - 220*i - 42. Let p(r) = -11*b(r) - 2*x(r). Solve p(k) = 0 for k.
-2/13, 2
Let j = -1114/495 + 136/55. Let o be ((-48)/(-18))/(-1 + 7). Factor 2/3*s + 0 - j*s**3 - o*s**2.
-2*s*(s - 1)*(s + 3)/9
Let y(l) be the second derivative of -l**6/40 + l**5/10 + 3*l**4/8 - 17*l**2/2 + 16*l. Let v(g) be the first derivative of y(g). Let v(b) = 0. Calculate b.
-1, 0, 3
Let d be (-130)/(-30) - (-2)/6*-1. Let j(g) be the second derivative of 1/14*g**3 + 0 + 3/140*g**5 + 0*g**2 + 1/14*g**d + 5*g. Factor j(n).
3*n*(n + 1)**2/7
Let n(x) be the third derivative of x**5/30 - 19*x**4/12 + 6*x**3 + 38*x**2. Suppose n(f) = 0. Calculate f.
1, 18
Let j = -162 + 162. What is z in 2/9*z + j + 2/9*z**2 = 0?
-1, 0
Let l(y) be the second derivative of y**7/105 - 46*y**6/75 + 22*y**5/25 + 23*y**4/15 - 3*y**3 + 8*y + 2. Let l(w) = 0. What is w?
-1, 0, 1, 45
Let k(f) be the first derivative of -f**5/5 + f**4/3 + 4*f**3/3 + 9*f - 12. Let q(r) be the first derivative of k(r). Factor q(h).
-4*h*(h - 2)*(h + 1)
Let v(q) = q**3 + 4*q**2 - 30*q + 16. Let y be v(-8). Let -4/5*a**2 - 2/5*a**3 + 6/5*a + y = 0. Calculate a.
-3, 0, 1
Let s(l) = l**3 + 8*l**2 + 24*l + 196. Let q be s(-8). Factor 3/5*d**q - 12/5*d**3 - 12/5*d + 3/5 + 18/5*d**2.
3*(d - 1)**4/5
Let g = -20 + 9. Let l = g + 25/2. Solve l*s**2 + 3/4*s**4 - 2*s**3 + 0*s - 1/4 = 0.
-1/3, 1
Determine y, given that -27/4*y + 33/2 - 3/4*y**2 = 0.
-11, 2
Let s = 1789/5 + -1787/5. Factor -4/5 + 6/5*j - s*j**2.
-2*(j - 2)*(j - 1)/5
Factor -37*j + 6*j**4 + 936*j**2 - 952*j**2 - 3*j**5 + 22*j + 6*j**3 + 4*j**5 + 0*j**3 + 18.
(j - 1)**2*(j + 2)*(j + 3)**2
Let y(j) = -3*j**4 + 20*j**3 + 86*j**2 + 92*j + 41. Let w(q) = -3*q**4 + 19*q**3 + 85*q**2 + 91*q + 43. Let t(a) = 4*w(a) - 5*y(a). Factor t(r).
3*(r - 11)*(r + 1)**3
Let o(r) be the third derivative of 0*r + 6/35*r**7 - 5*r**2 + 0*r**3 + 1/10*r**6 - 1/3*r**5 + 0 + 1/6*r**4. What is n in o(n) = 0?
-1, 0, 1/3
Let d be ((-22)/4 - 4)/((-231)/(-44) - 7). What is x in 2/7*x + 4/7 + 8/7*x**5 + 62/7*x**3 - d*x**4 - 38/7*x**2 = 0?
-1/4, 1, 2
Suppose -52*q = 195*q - 494. Factor 0 + 3/2*w**4 + 2/3*w - 11/6*w**3 - 8/3*w**q.
w*(w - 2)*(w + 1)*(9*w - 2)/6
Solve 55/6*j**5 - 5/6 - 55/3*j**2 + 5/3*j**3 - 65/6*j + 115/6*j**4 = 0 for j.
-1, -1/11, 1
Determine p so that -3/4*p**2 - 6*p**3 + 6*p + 3/4*p**4 + 0 = 0.
-1, 0, 1, 8
Suppose 0 = 5*o + 3*v - 72, 4*o + 4*v - 56 = -0*v. Suppose 7*g + o = 29. Suppose -4/5*r**3 - 12/5*r**g - 12/5*r - 4/5 = 0. What is r?
-1
Let c(x) be the second derivative of 1/3*x**4 + 11/6*x**3 - 1/20*x**5 + 3*x**2 + 0 + 19*x. Factor c(f).
-(f - 6)*(f + 1)**2
Let k(h) be the third derivative of -7*h**6/60 - 113*h**5/20 + 91*h**4/8 - 25*h**3/3 - 303*h**2. Suppose k(p) = 0. Calculate p.
-25, 2/7, 1/2
Let o(z) be the second derivative of -1/3*z**4 - 8*z**2 + 2*z + 0 + 8/3*z**3. Factor o(j).
-4*(j - 2)**2
Suppose -2*p = -0*p + 2*s, -3*p = -2*s. Suppose p*q = q - 2. Solve -c - 3*c**3 - 3*c**q + c = 0 for c.
-1, 0
Suppose 3*f = -l + 16, f + 3*f = -4*l + 24. Suppose -j + f*j = 12. Suppose 0 + 2/7*n**2 + 1/7*n**j + 1/7*n = 0. What is n?
-1, 0
Suppose 0 = -3*z + 12 - 3. Solve -38*f**2 