+ 0*j**3 + 0*j**2. Determine m so that y(m) = 0.
-5, 0
Let g(x) be the first derivative of 3*x**5/10 + 7*x**4/8 + x**3/2 - 3*x**2/4 - 11*x + 2. Let q(j) be the first derivative of g(j). Find k, given that q(k) = 0.
-1, 1/4
Let o(s) be the third derivative of 0 + 0*s + 2/165*s**5 - 5/132*s**4 + 2/33*s**3 + 22*s**2 - 1/660*s**6. Factor o(q).
-2*(q - 2)*(q - 1)**2/11
Let b(l) = -l**3 - 7*l**2 + l + 11. Let p be b(-7). Solve -16*w**4 + 2*w**5 - 2*w**5 - 5*w**5 + 6*w**p = 0.
-2, 0
Let n(u) be the second derivative of -u**6/135 - 13*u**5/90 - 55*u**4/54 - 25*u**3/9 + 2*u + 4. Factor n(j).
-2*j*(j + 3)*(j + 5)**2/9
Let o(n) = -n**2 + 6*n + 7. Let h be o(7). Let z be 3/(0 - (h + -1)). Factor k**3 - k**3 - 4*k**3 + k**z.
-3*k**3
Let j be 6/(-4)*(20 - (43 + -21)). Determine g so that 0 + 2/3*g**2 + 0*g - 1/3*g**4 - 1/3*g**j = 0.
-2, 0, 1
Factor 2/11*j**2 + 648/11 - 72/11*j.
2*(j - 18)**2/11
Suppose 5*p - 3*h - 1 = 0, -298*h = 3*p - 296*h - 12. Factor 1/3 - 1/3*g**4 + 0*g**p - 2/3*g**3 + 2/3*g.
-(g - 1)*(g + 1)**3/3
Let h = 973/2 + -8725/18. Let -8/9 - 10/9*o**2 - 2/9*o**3 - h*o = 0. What is o?
-2, -1
Factor -2/17*u**2 - 172/17 - 90/17*u.
-2*(u + 2)*(u + 43)/17
Suppose 8*i**3 + 8 - 7*i - 3*i**3 - 11*i - 12*i**4 + 11*i**3 + 16*i**5 - 14*i**5 + 4*i**2 = 0. Calculate i.
-1, 1, 4
Factor 261 + 110 - 11*j**2 + 92*j**2 - 85 + 221 - 3*j**3 - 585*j.
-3*(j - 13)**2*(j - 1)
Let h be 6 - (49/140*-4 + 7). Solve -h - 4/15*p + 2/15*p**2 = 0.
-1, 3
Let l be (135*4/6)/(1 - 0). Find p such that -18*p**3 - 1350*p - l*p**2 + 35*p**3 - 19*p**3 - 6750 = 0.
-15
Suppose -2*z = -4*z - z. Suppose -23*d = -42*d + 57. Suppose 0*i + 1/3*i**2 - 1/3*i**4 + 0 + z*i**d = 0. What is i?
-1, 0, 1
Let l = 522/89 - 2432/445. Factor 0 - l*v**3 - 6/5*v + 2/5*v**4 - 2*v**2.
2*v*(v - 3)*(v + 1)**2/5
Let r = 66 + -3. Let u = 65 - r. Determine v, given that -1/6*v**4 - 4/3*v - 2*v**u - v**3 + 0 = 0.
-2, 0
Determine k so that -4/5*k - 2/5*k**2 + 0 = 0.
-2, 0
Let h(i) = 42*i**3 - 3*i**2 - 9*i + 14. Let d(k) = -23*k**3 + k**2 + 5*k - 7. Let l(w) = 11*d(w) + 6*h(w). Factor l(p).
-(p - 1)*(p + 1)*(p + 7)
Let b be (-4)/((315/(-60))/((-3)/(-8))). Solve 2/7*q + b*q**2 - 2/7*q**3 + 0 - 2/7*q**4 = 0 for q.
-1, 0, 1
Let t(l) be the second derivative of l**7/14 + 17*l**6/10 + 27*l**5/4 + 43*l**4/4 + 7*l**3 + 4*l. Factor t(s).
3*s*(s + 1)**3*(s + 14)
Let a(s) be the second derivative of -s**4/42 + 2*s**3/7 - 9*s**2/7 - 18*s + 1. Determine p, given that a(p) = 0.
3
Let y(t) be the third derivative of t**6/120 - 7*t**5/180 + 5*t**4/72 - t**3/18 - t**2 + 28*t. Factor y(z).
(z - 1)**2*(3*z - 1)/3
Let o be (12/80)/((-1)/244). Let r = 37 + o. Factor 2/5*f**3 - 2/5*f**2 + 0 - 2/5*f + r*f**4.
2*f*(f - 1)*(f + 1)**2/5
Let u(w) be the third derivative of -w**7/35 + w**6/12 + w**5/6 - 5*w**4/12 - 2*w**3/3 - 2*w**2 + 49. Suppose u(s) = 0. Calculate s.
-1, -1/3, 1, 2
Let q(c) be the first derivative of -1/228*c**4 + 0*c - 6*c**2 + 1/570*c**5 + 0*c**3 - 10. Let t(v) be the second derivative of q(v). Let t(d) = 0. Calculate d.
0, 1
Let i(q) be the second derivative of 2*q**6/15 + q**5/2 - 23*q**4/6 + 10*q**3/3 - 4*q - 7. Determine x so that i(x) = 0.
-5, 0, 1/2, 2
Suppose -4*t + 2*d = t - 12, -3*d = 4*t - 5. Let m be (-1)/(4/(-24)*3). Factor 2*y**m - 4*y**2 + 3*y**t.
y**2
Let x(c) = 4*c**2 - c**3 + 1 - 3 - 2 - c. Let g = 224 - 231. Let k(v) = -3*v**3 + 13*v**2 - 4*v - 13. Let h(b) = g*x(b) + 2*k(b). Factor h(r).
(r - 2)*(r - 1)*(r + 1)
Let z(a) be the first derivative of 2*a**3/39 + 38*a**2/13 + 722*a/13 + 136. Factor z(w).
2*(w + 19)**2/13
Let a(t) be the first derivative of -t**4/4 + 2*t**3 + 2*t + 5. Let x be a(6). Factor 15*h + 4*h**3 - 12*h**2 + 5 + x*h**3 - 3*h**3 - 11.
3*(h - 2)*(h - 1)**2
Suppose -25*c - 38215 = -38265. Find u such that 0 + 1/4*u**3 - 1/4*u**c + 0*u = 0.
0, 1
Factor 5082*a + 2/7*a**3 + 130438 + 66*a**2.
2*(a + 77)**3/7
Suppose 0 = -o - 20 + 31. Factor 6*f + f**2 + 0*f + 0*f - o*f.
f*(f - 5)
Suppose 2 = 4*i + s, -s - 29 + 19 = 0. Let m be (-1)/(-2) + 3/2. Factor -2/3*t + 4/3*t**i + 0*t**m + 0*t**4 + 0 - 2/3*t**5.
-2*t*(t - 1)**2*(t + 1)**2/3
Let l(x) be the first derivative of -x**6/39 + 2*x**5/65 + x**4/26 - 2*x**3/39 - 36. Suppose l(j) = 0. What is j?
-1, 0, 1
Suppose 49498*h = 49516*h - 36. Find d such that -4/3*d**h + 0*d + 4/3*d**4 + 4/3*d**3 + 0 - 4/3*d**5 = 0.
-1, 0, 1
Let v(r) = 6*r**2 + 834*r + 57144. Let n(h) = -7*h**2 - 836*h - 57148. Let x(d) = 3*n(d) + 4*v(d). Factor x(q).
3*(q + 138)**2
Let o(x) be the first derivative of -5*x**3/3 + 35*x**2 + 160*x - 223. Factor o(v).
-5*(v - 16)*(v + 2)
Let -231*h**2 + 195*h**2 - 48 + 3*h**4 + 84*h + 2*h**3 - 5*h**3 = 0. Calculate h.
-4, 1, 2
Factor -7/4*r + 3/2 + 1/4*r**3 + 0*r**2.
(r - 2)*(r - 1)*(r + 3)/4
Let i be -1 + -1 - (2/5)/((-2016)/16560). Factor 0 - 3/7*w + i*w**3 + 15/7*w**4 + 6/7*w**5 - 3/7*w**2.
3*w*(w + 1)**3*(2*w - 1)/7
Let k be 20*((-252)/8)/(-7)*(-2)/(-24). Solve -5/2*m**3 - 5*m**2 + 0 + k*m = 0.
-3, 0, 1
Let y(r) = 7*r + 6. Let h be y(3). Let k = h + -24. Factor -2/3*g**k + 0 + 4/3*g**2 + 0*g.
-2*g**2*(g - 2)/3
Let r(b) be the second derivative of b**7/56 + 9*b**6/40 + 15*b**5/16 + 27*b**4/16 + 5*b**3/4 - 179*b - 2. Solve r(q) = 0 for q.
-5, -2, -1, 0
Determine f, given that 16*f + 9*f - f**3 - 54 + 2*f = 0.
-6, 3
Let m(x) be the first derivative of x**5 - 5*x**4 + 5*x**3 + 10*x**2 - 20*x + 173. Find u such that m(u) = 0.
-1, 1, 2
Let r(q) be the third derivative of 0 + 1/1440*q**6 + 4/3*q**3 + 0*q**5 + 0*q**4 + 0*q - 8*q**2. Let f(n) be the first derivative of r(n). Factor f(u).
u**2/4
Suppose -19 = -10*z - 19. Let k(o) be the second derivative of -1/105*o**7 - 3*o + 3/50*o**5 + z*o**2 + 0 + 0*o**6 + 0*o**3 + 1/15*o**4. Factor k(x).
-2*x**2*(x - 2)*(x + 1)**2/5
Let d(v) be the third derivative of v**7/16380 - v**6/585 + 4*v**5/195 + v**4/8 - 7*v**2. Let l(t) be the second derivative of d(t). What is h in l(h) = 0?
4
Let k(v) be the first derivative of 3/5*v**5 + 0*v**2 + 5 - 1/3*v**4 - v + 0*v**3 + 0*v**6 - 8/21*v**7. Let l(m) be the first derivative of k(m). Factor l(a).
-4*a**2*(a + 1)*(2*a - 1)**2
Let h(l) = -9*l**2 - 21*l + 13. Let f(c) = -2*c**2 - 5*c + 3. Suppose -5*q - 22 + 6 = u, -q + 2 = 0. Let d(b) = u*f(b) + 6*h(b). Solve d(n) = 0 for n.
0, 2
Let c(s) be the second derivative of 1/15*s**4 + 9*s + 98/25*s**6 - 8/3*s**3 - 8/5*s**2 + 119/25*s**5 + 0 + 6/7*s**7. Solve c(r) = 0.
-2, -1, -1/3, 2/5
Determine k so that 4/5*k + 1/5*k**2 + 0 = 0.
-4, 0
Let k = -152 + 152. Let j be 1/5 + k - 912/(-240). Factor 0*w**3 - 8/5*w**2 + 10*w**j + 0*w + 0.
2*w**2*(5*w - 2)*(5*w + 2)/5
Let a(s) be the second derivative of -1/84*s**4 + 41*s + 0*s**2 - 1/21*s**3 + 0. Factor a(n).
-n*(n + 2)/7
Let o(v) be the second derivative of -1/12*v**5 - 1/90*v**6 + 0*v**4 + 0 + 6*v + 0*v**2 + 0*v**3. Factor o(h).
-h**3*(h + 5)/3
Let x(l) = -2*l**3 + 16*l**2 - 26*l + 12. Let k(w) = w**2 - 1. Let a(o) = 12*k(o) + x(o). What is t in a(t) = 0?
0, 1, 13
Let j(u) be the second derivative of u**6/105 + 29*u**5/70 + 13*u**4/21 - 8*u**3/3 - 60*u. Find p, given that j(p) = 0.
-28, -2, 0, 1
Let v be (5640/(-5875))/((12/15)/(-2)). Factor -v*n**3 - 4*n**2 + 0 + 8/5*n.
-4*n*(n + 2)*(3*n - 1)/5
What is f in 20/3 - 1/3*f**2 - 8/3*f = 0?
-10, 2
Let a(h) be the second derivative of -h**6/285 + 7*h**5/190 - 11*h**4/114 + 5*h**3/57 + 496*h. Solve a(x) = 0 for x.
0, 1, 5
Suppose 8 = 3*l - 58. Suppose -v - 18 = -l. What is h in 6/7*h**2 - 2/7*h + 0 + 2/7*h**v - 6/7*h**3 = 0?
0, 1
Let q(y) be the second derivative of -y**6/45 - 16*y**5/15 - 28*y**4/3 - 320*y**3/9 - 208*y**2/3 + 19*y - 2. Factor q(z).
-2*(z + 2)**3*(z + 26)/3
Let -2*p**4 - 17*p**2 - p**3 + 11*p**4 - 6*p - 18*p**2 - 47*p**3 = 0. Calculate p.
-1/3, 0, 6
Let n(z) be the first derivative of -z**5/15 + z**4/2 - 9*z**2/2 + 3. Let k(u) be the second derivative of n(u). Suppose k(m) = 0. Calculate m.
0, 3
Let j(b) = 8*b + 3. Let k be j(12). Let v be 234/k - (2 - 0). Factor 2/11*a - 4/11*a**3 + 2/11*a**4 + 2/11 + 2/11*a**5 - v*a**2.
2*(a - 1)**2*(a + 1)**3/11
Let x(r) be the third derivative of r**8/280 - 46*r**7/525 + 8*r**6/25 - 11*r**5/25 + 13*r**4/60 - 6*r**2 - 3. What is h in x(h) = 0?
0, 1/3, 1, 13
Let j be 0/(-2 + 3)*1/2. Let v(f) be the second derivative of -1/4*f**3 - f + 3/16*f**4 + j - 3/80*f**5 + 0*f**2.