 -4*l**2 - 14*l - 4. Let q(d) = -12*s(d) - 2*t(d). Factor q(g).
4*(g + 1)*(2*g + 5)
Let s(z) be the second derivative of z**5/110 + 5*z**4/22 - 34*z**3/33 + 494*z. Factor s(y).
2*y*(y - 2)*(y + 17)/11
Let r(c) = 2*c**2 - 11*c - 5. Let t(j) = -2*j**2 + 10*j + 6. Let w(g) = 6*r(g) + 5*t(g). Factor w(f).
2*f*(f - 8)
Let k = 464/3 + -154. Let w(i) be the first derivative of 5/9*i**3 + 1/6*i**2 - k*i + 1/6*i**4 - 6. Factor w(n).
(n + 1)*(n + 2)*(2*n - 1)/3
Let o = 44714/5 + -8942. Factor 8/5*r**3 + 0*r**2 + 0*r + 12/5*r**4 + 0 + o*r**5.
4*r**3*(r + 1)*(r + 2)/5
Let f(u) be the third derivative of -3*u**7/280 - u**6/120 + 11*u**3/3 + 22*u**2. Let j(y) be the first derivative of f(y). Factor j(o).
-3*o**2*(3*o + 1)
Let k be -4*2*2/(-8). Let q be (-14)/8*-1*(9676/(-826) + 12). Solve 25/2*p**k + q + 5*p = 0 for p.
-1/5
Let q(r) be the first derivative of 9*r**5/5 + 3*r**4 + r**3 - 61. Let q(a) = 0. What is a?
-1, -1/3, 0
Let s(l) be the first derivative of -l**6/21 + 8*l**5/35 - 4*l**3/3 + 17*l**2/7 - 12*l/7 - 226. Solve s(d) = 0.
-2, 1, 3
Suppose -54 = -319*d + 301*d. Factor 0 - 2/5*g**2 - 4/5*g**d - 2/5*g**4 + 0*g.
-2*g**2*(g + 1)**2/5
Let a(v) be the third derivative of v**7/1120 - v**6/480 - v**5/160 + v**4/32 + 3*v**3 - 18*v**2. Let i(u) be the first derivative of a(u). Factor i(y).
3*(y - 1)**2*(y + 1)/4
What is y in -172 - 26*y - 21*y + 166 - 15*y**2 = 0?
-3, -2/15
Let l(s) be the third derivative of 0 - 1/28*s**4 + 3/140*s**5 - 2*s**2 - 1/210*s**6 + 1/42*s**3 + 0*s. Factor l(r).
-(r - 1)**2*(4*r - 1)/7
Let n(q) be the second derivative of -2*q**5/5 - 2*q**4 + 46*q**3/3 + 16*q**2 + 46*q. Let v(d) = d**3 + d**2 + d. Let j(z) = n(z) - 4*v(z). Factor j(f).
-4*(f - 2)*(f + 4)*(3*f + 1)
Factor -36 + 15/4*j + 3/8*j**2.
3*(j - 6)*(j + 16)/8
Let m(c) be the first derivative of -c**5/4 - 35*c**4/12 + 5*c**3/6 + 35*c**2/2 - 11*c + 13. Let o(u) be the first derivative of m(u). Factor o(g).
-5*(g - 1)*(g + 1)*(g + 7)
Let w(o) be the second derivative of 0 - 1/72*o**4 + 0*o**3 - 18*o + 0*o**2. Let w(u) = 0. Calculate u.
0
Let p = 29 - 29. Let d(k) be the third derivative of 0*k**5 + 0*k**4 + 0*k**7 + 1/448*k**8 - k**2 + 0 + 0*k**6 + 0*k + p*k**3. Suppose d(b) = 0. What is b?
0
Let a(q) be the second derivative of q**5/10 - 37*q**4/12 + 49*q**3/6 + 17*q**2 + 25*q - 4. Find y, given that a(y) = 0.
-1/2, 2, 17
Let k be (-4 + 99/24)*2. Solve k*z**3 + 0 + 0*z + 0*z**2 = 0.
0
Let a(h) be the third derivative of 5*h**8/784 + 9*h**7/490 - 17*h**6/280 - 37*h**5/140 - 3*h**4/14 + 2*h**3/7 - 8*h**2. Suppose a(i) = 0. Calculate i.
-2, -1, 1/5, 2
Let r = -334 + 336. Let d(b) be the first derivative of 1/9*b**3 + 2/3*b - 1/2*b**r + 1. Factor d(z).
(z - 2)*(z - 1)/3
Suppose -6*d + 3 = -9. Let u = d - -8. Factor 12 + 60*f + 2*f**3 + u*f**3 + 21*f**2 + 30*f**2.
3*(f + 2)**2*(4*f + 1)
Let l be (54/105)/(2925/966). Let h = l + -2/125. Factor 0*a**2 - 8/13*a**3 + 0 - 8/13*a**4 - h*a**5 + 0*a.
-2*a**3*(a + 2)**2/13
Let k be (5/2)/(3/6). Suppose -k*j = 1 - 11. Factor -j*b**3 - 4*b**2 - 85 - 2*b + 85.
-2*b*(b + 1)**2
Let o(u) be the first derivative of -5*u**4/4 - 65*u**3 + 611. Determine d so that o(d) = 0.
-39, 0
Let g(i) be the first derivative of i**5/240 + i**4/8 + 3*i**3/2 + 43*i**2/2 + 3. Let n(h) be the second derivative of g(h). Let n(v) = 0. Calculate v.
-6
Let l(t) be the third derivative of 3*t**6/280 + t**5/70 - 3*t**4/56 - t**3/7 - 6*t**2 - 7. Solve l(b) = 0 for b.
-1, -2/3, 1
Let b(u) be the third derivative of u**9/12096 - u**8/4032 - u**7/1008 + u**6/144 + 2*u**5/5 + 28*u**2. Let d(h) be the third derivative of b(h). Factor d(y).
5*(y - 1)**2*(y + 1)
Suppose -n + 17 = -5*j, n = -3*n - 5*j - 7. Suppose 6 + 8*h**2 + 2*h**3 - n + h + 15*h - 6*h = 0. Calculate h.
-2, -1
Find h, given that -3/5*h**2 - 42/5*h - 24 = 0.
-10, -4
Let l(i) be the first derivative of 4*i**3/3 + 18*i**2 + 56*i - 125. Find s, given that l(s) = 0.
-7, -2
Let s(k) be the first derivative of -3*k**5/5 + 3*k**4/4 + 7*k**3 - 39*k**2/2 + 18*k + 122. Factor s(u).
-3*(u - 2)*(u - 1)**2*(u + 3)
Let i(t) be the second derivative of -15/2*t**5 + 3*t - 25/6*t**6 + 55/12*t**4 - 10*t**2 + 0 + 10*t**3. What is x in i(x) = 0?
-1, 2/5
Let y be ((-26)/(-10) - (-10)/(-10)) + 2. Let k(a) be the first derivative of 3 + 20*a**2 + 15*a**4 + y*a**5 + 8*a + 74/3*a**3. Suppose k(u) = 0. What is u?
-1, -2/3
Let r(t) be the second derivative of -t**4/72 + 3*t**3/2 - 243*t**2/4 + 36*t + 2. Suppose r(k) = 0. Calculate k.
27
Let m be (-3)/(-6) + (-159)/6 + -2. Let l = 28 + m. Find b, given that 1/4*b**3 + 1/4*b**2 - 1/4*b**4 + l - 1/4*b = 0.
-1, 0, 1
Suppose -3*h = -5*y - 10, 3*y + 3*h = -33 + 3. Let q(f) = 25*f**2 + 109*f - 47. Let p(z) = -50*z**2 - 220*z + 95. Let k(r) = y*q(r) - 3*p(r). Factor k(l).
5*(l + 5)*(5*l - 2)
Let h = -10802/5 - -75804/35. Solve -h*b**2 - 22/7*b - 26/7*b**3 - 4/7 - 6/7*b**4 = 0 for b.
-2, -1, -1/3
Let m(o) be the first derivative of -5*o**4/3 - 95*o**3/9 + 145*o**2/6 - 10*o - 52. Solve m(d) = 0 for d.
-6, 1/4, 1
What is s in -2172 + 2148 - 6*s - 2*s**2 + 8*s + 14*s = 0?
2, 6
Let n(y) be the third derivative of -y**5/80 + 3*y**4/16 + 7*y**3/8 - 26*y**2 - 2*y. Factor n(s).
-3*(s - 7)*(s + 1)/4
Let m(s) be the first derivative of s**4/30 - 22*s**3/45 + 8*s**2/5 + 24*s/5 - 35. Factor m(w).
2*(w - 6)**2*(w + 1)/15
What is b in 46/7*b**4 + 1930/7*b**2 + 422/7*b**3 + 2/7*b**5 + 4000/7 + 4400/7*b = 0?
-5, -4
Let n = -1/413 - -419/2478. Let x(g) be the third derivative of 4/15*g**5 + n*g**4 + 0 - 1/10*g**6 - 5*g**2 + 0*g - 4/3*g**3. Solve x(r) = 0.
-2/3, 1
Let d(i) = 56*i + 1290. Let u be d(-23). Solve -40/3 - 20*l - 5/3*l**3 - 10*l**u = 0.
-2
Let r = 458 - 36639/80. Let n(f) be the third derivative of 0 - r*f**5 + 1/48*f**4 + 0*f + 5*f**2 + 0*f**3 - 1/96*f**6. Suppose n(i) = 0. What is i?
-1, 0, 2/5
Let r(s) be the first derivative of -35/4*s**4 + 25*s**3 - 45/2*s**2 + 15 + s**5 + 0*s. Factor r(g).
5*g*(g - 3)**2*(g - 1)
Let h(g) = 5*g**3 - 65*g**2 - 40*g + 90. Let l(q) = -q - 3. Let z(r) = h(r) + 30*l(r). Determine k, given that z(k) = 0.
-1, 0, 14
Let w(x) = -6 + 12 + x**2 - 7. Let i(m) = -3*m**4 + 3*m**3 + 7*m**2 - 1. Let g(r) = -i(r) + w(r). Factor g(a).
3*a**2*(a - 2)*(a + 1)
Factor -36/5*h**2 - 4/5*h**4 - 8/5 + 28/5*h + 4*h**3.
-4*(h - 2)*(h - 1)**3/5
Let v(m) be the second derivative of m**5/180 + 5*m**4/108 - 4*m**3/27 - 8*m**2/3 - 2*m + 47. What is r in v(r) = 0?
-4, 3
Let r = -1372/3 - -458. Factor 0 + 0*v + r*v**2 + 1/3*v**3.
v**2*(v + 2)/3
Let d(g) be the first derivative of g**9/9072 - g**8/2520 + g**7/2520 + 43*g**3/3 - 22. Let v(q) be the third derivative of d(q). Factor v(z).
z**3*(z - 1)**2/3
Let q be (-4)/(-12)*(-3 + 6). Let h be q/4*-3*16/(-54). Determine w so that -2/9 - h*w + 4/9*w**2 = 0.
-1/2, 1
Let r(g) be the third derivative of 0 + 44*g**2 - 1/200*g**6 + 0*g + 1/5*g**3 + 1/40*g**4 - 1/50*g**5. What is o in r(o) = 0?
-2, -1, 1
Let o(s) = -s**3 - 4*s + 4. Let d be (33/4)/(9/60). Let z(t) = -15*t**3 - 55*t + 55. Let n(q) = d*o(q) - 4*z(q). Let n(r) = 0. What is r?
0
Let f(p) = 60*p - 63. Let y be f(5). Let q = y + -237. Factor 0*o + q - 1/2*o**4 + 0*o**2 + o**3.
-o**3*(o - 2)/2
Let r(x) = -6*x**2 + 104*x - 32. Let p be r(17). Let z(d) be the first derivative of -7/2*d**4 - 4/5*d**5 - 3 - 6*d**3 - 5*d**p - 2*d. Let z(b) = 0. What is b?
-1, -1/2
Suppose -5*f = q + 3, 5*f + 4*q = -0*f - 12. Let t be 4/6 - (-8)/(-12). What is l in t*l**2 - 1/6*l**4 + 0 + f*l + 1/6*l**3 = 0?
0, 1
Let f = -9 + 55. Factor 8*u**3 - 4*u + 46 - f - 4*u**2 + 18*u**2.
2*u*(u + 2)*(4*u - 1)
Factor -4 + 64/3*r + 7/3*r**4 + 26/3*r**3 - 85/3*r**2.
(r - 1)**2*(r + 6)*(7*r - 2)/3
Let a(v) = 2*v**3 + v. Let y(k) = 14*k**3 + 10*k**2 - 2*k - 40. Let z(b) = -6*a(b) + y(b). Factor z(h).
2*(h - 2)*(h + 2)*(h + 5)
Let u = -5325 + 5327. Factor -1/4*x**u + 0*x + 1/4.
-(x - 1)*(x + 1)/4
Let b = 4 + 1. Suppose 12 = 4*n, -5*o - n - b = -8. Suppose 0*m**2 + 4*m**2 + o*m**2 - 7*m**2 = 0. Calculate m.
0
Let l be ((1 + -1)*7/21)/1. Find n such that l + 2/5*n**2 - 6/5*n = 0.
0, 3
Factor -6*w**4 - 2*w**5 - 7*w + 9*w + 2*w**4 + 4*w**2.
-2*w*(w - 1)*(w + 1)**3
Let f(d) be the first derivative of d**6/2 + 3*d**5/5 - 15*d**4/4 + 3*d**3 - 48. Solve f(w) = 0 for w.
-3, 0, 1
Let n(g) be the first derivative of 3/10*g**2 + 2/5*g + 1/15