t m(k) = 15*k**2 - 9*k - 10. Let v(i) = 41*i**2 - 26*i - 29. Let a(h) = 11*m(h) - 4*v(h). Determine q so that a(q) = 0.
-3, -2
Let l be (-4)/(-14)*-1 + (-4246)/231. Let a = l - -19. Let -1/6*n - a*n**2 + 1/6 = 0. Calculate n.
-1, 1/2
Suppose -306 - 90 + 28 = -184*i. Let -2/3*y**i - 16/3*y - 32/3 = 0. What is y?
-4
Let c = 6 + -8. Let d be ((-2)/c)/((-1)/(-4)). Factor 0*m**2 + 7*m**2 - 6*m + 3 - d*m**2.
3*(m - 1)**2
Let l(k) = 46*k**3 - 151*k**2 + 290*k - 122. Let x(h) = 21*h**3 - 76*h**2 + 145*h - 62. Let z(o) = -4*l(o) + 9*x(o). Factor z(r).
5*(r - 14)*(r - 1)**2
Let b = 22 - 2. Suppose 12*o = 7*o + b. Suppose -5*h**4 + 5*h**3 - 2*h**3 + 5*h**o + 6*h**4 - 9*h**5 = 0. Calculate h.
-1/3, 0, 1
Let r(a) be the third derivative of -a**9/12096 + a**8/6720 + a**7/1680 - 5*a**3/6 + 18*a**2. Let v(u) be the first derivative of r(u). Factor v(d).
-d**3*(d - 2)*(d + 1)/4
Let q(f) be the third derivative of f**6/240 - f**5/60 - 13*f**4/48 - 5*f**3/6 + f**2 + 42. Factor q(t).
(t - 5)*(t + 1)*(t + 2)/2
Suppose c = 2*q + 407, -6*q + 3*c = -q + 1016. Let a = q + 210. Find o, given that 108/5*o**3 - 16/5*o + 104/5*o**4 + 16/5*o**2 + 0 + 28/5*o**a = 0.
-2, -1, 0, 2/7
Let j(h) be the second derivative of h**7/1260 - h**6/180 + h**5/60 - 3*h**4 + 12*h. Let u(q) be the third derivative of j(q). Let u(s) = 0. Calculate s.
1
Factor 2/3*z - 5/3*z**3 + 0 + z**2.
-z*(z - 1)*(5*z + 2)/3
Let i be (4/6)/(2/3). Let c be (-6)/(-42)*(3/4 + i). Factor 0*t + 0 + 1/4*t**4 + c*t**3 + 0*t**2.
t**3*(t + 1)/4
Let h(n) be the third derivative of -3*n**5/4 - 5*n**4/24 + 549*n**2. Let h(r) = 0. What is r?
-1/9, 0
Factor 432*w - 2*w**3 - 350*w - 720*w + 5 - 928*w + 1453 + 110*w**2.
-2*(w - 27)**2*(w - 1)
Let n(s) be the second derivative of -s**4/15 - 7*s**3/15 + 4*s**2/5 + 7*s + 1. Determine w so that n(w) = 0.
-4, 1/2
Let q(x) be the second derivative of 0 - 21*x + 1/4*x**4 - 3/2*x**2 + 1/2*x**3 - 3/20*x**5. What is h in q(h) = 0?
-1, 1
Let f(p) be the third derivative of 2*p**2 - 1/16*p**4 + 0*p - 1/120*p**5 + 0 - 1/6*p**3. Factor f(w).
-(w + 1)*(w + 2)/2
Let i(z) be the second derivative of 0*z**3 + 0 + 1/5*z**5 + 19*z + 0*z**2 - 1/3*z**4 - 2/21*z**7 + 2/15*z**6. Factor i(l).
-4*l**2*(l - 1)**2*(l + 1)
Let s(c) be the second derivative of c**7/12600 - c**6/1200 + c**5/300 + 5*c**4/4 + 7*c. Let m(o) be the third derivative of s(o). Factor m(f).
(f - 2)*(f - 1)/5
Let n(a) = 16*a. Let q be n(1). Let o = -13 + q. Factor f + 2*f**2 + 0*f**3 + f**o + 3*f**3 - 6*f**2.
f*(2*f - 1)**2
Let j be 0/(-2) + (-16)/(-4) + -13 + 11. Find y such that 0 + j*y**2 - 4/3*y**3 + 0*y - 2/3*y**4 = 0.
-3, 0, 1
Let x(o) = -7*o - 51. Let b be x(-8). What is f in 8*f**2 - 42*f - 15*f**3 + 42*f + 2*f**2 + b*f**4 = 0?
0, 1, 2
Let r(i) = i**4 + i. Let d(j) = 2*j**5 + 3*j**4 - 4*j**3 - 12*j**2 - j + 6. Let c(h) = d(h) + 3*r(h). Find x, given that c(x) = 0.
-3, -1, 1
Let a(f) = -9*f**3 + 7*f**2 - 7*f - 1. Let p be a(5). Let l be 3/(-12) - p/8. Factor 121 - 4*v**3 + 36*v**2 - 144*v + l + v**3 - 52.
-3*(v - 4)**3
Solve 9/2*o**5 + 8*o + 28*o**4 + 48*o**2 + 60*o**3 + 0 = 0 for o.
-2, -2/9, 0
Let v = 10721 + -32657/3. Let c = v + 165. Factor 1/2*f + 1/6*f**2 + c.
(f + 1)*(f + 2)/6
Let r = 19 - 16. Let t be 1/r*12/18. Let -2/9*h**2 + t + 2/9*h - 2/9*h**3 = 0. Calculate h.
-1, 1
Let s(a) = 2*a**2 - 3*a + 5. Let f(u) = -10*u**2 + 2*u - 19. Let h(v) = -7*v**2 + v - 13. Let k(p) = -5*f(p) + 7*h(p). Let j(w) = 5*k(w) - 4*s(w). Factor j(q).
-3*q*(q + 1)
Let g(q) = q + 14. Let c be (4/10)/(11/(-330)). Let w be g(c). Factor 14*t + 1 - 8*t**w + 5 + 3*t**2 - t.
-(t - 3)*(5*t + 2)
Suppose 0 = -3*t + 5 + 1. Factor 73*r - 89*r - r**t - r**2 - 2*r**2.
-4*r*(r + 4)
Let z(y) = -21*y + 800. Let j be z(38). Factor 15/4 + 5/4*w**j + 5/4*w**3 - 25/4*w.
5*(w - 1)**2*(w + 3)/4
Let -134*t**2 + 84*t**2 + 7*t**3 - 2*t**3 = 0. Calculate t.
0, 10
Let z be 5 - (8/(-2))/((-4)/8). Let g(x) = 3*x**3 + 3*x**2 + x**2 + 3*x - x**3. Let h(m) = m**3 + m**2 - 1. Let b(j) = z*g(j) + 3*h(j). Factor b(p).
-3*(p + 1)**3
Let p(r) = -9*r + 60*r**2 - 1 + 11 - 91*r**2. Let l(y) = y**2 - y. Let n(m) = -6*l(m) - p(m). Suppose n(u) = 0. Calculate u.
-1, 2/5
Let f(b) = -b**3 - 7*b**2 + 4*b + 13. Let y be f(-7). Let a be (1/2)/(y/(-4) - 2). Suppose 6/7*l + a*l**2 + 4/7 = 0. Calculate l.
-2, -1
Factor -12/5 + 16/5*c - 4/5*c**2.
-4*(c - 3)*(c - 1)/5
Let b(u) = -u**2 - 6*u - 5. Let j be b(-4). Let y = 278 - 278. Factor -2/5*d**4 + 0 + 0*d - 2/5*d**j + y*d**2.
-2*d**3*(d + 1)/5
Let d(t) be the first derivative of t**6/6 - 7*t**5/5 + 68*t**3/3 - 16*t**2 - 192*t + 166. Factor d(u).
(u - 4)**2*(u - 3)*(u + 2)**2
Let i = -645 - -645. Let j(p) be the third derivative of i*p**4 - 2*p**2 - 1/30*p**6 + 0 + 1/30*p**5 + 0*p + 0*p**3 + 1/105*p**7. Factor j(s).
2*s**2*(s - 1)**2
Let z(t) be the third derivative of t**5/12 + 85*t**4/12 + 1445*t**3/6 + 27*t**2. Factor z(l).
5*(l + 17)**2
Let c = -7862 + 7864. Find p such that 0 - 2*p**c - 2*p**3 - 2/3*p - 2/3*p**4 = 0.
-1, 0
Solve 8/13*w**5 - 152/13*w - 12*w**3 + 14/13*w**4 + 262/13*w**2 + 24/13 = 0 for w.
-6, 1/4, 1, 2
Factor 3*d - 6*d - 62*d**2 - 16 - 94*d + 22*d**3 + 36*d - 39*d.
2*(d - 4)*(d + 1)*(11*d + 2)
Let n(w) be the third derivative of w**6/660 - w**5/165 - 19*w**4/132 + 20*w**3/33 + 4*w**2 + 4. Determine l so that n(l) = 0.
-4, 1, 5
Factor 843 + 40*w**3 - 68*w**2 - 4*w**4 + 32*w - 843.
-4*w*(w - 8)*(w - 1)**2
Let r(d) be the first derivative of -d**4/12 + 2*d**3/3 - 3*d**2/2 + 4*d/3 + 147. Factor r(v).
-(v - 4)*(v - 1)**2/3
Let b(s) be the first derivative of 5/4*s**3 - 8 - 3/4*s**4 + 0*s + 3/20*s**5 - 3/4*s**2. Factor b(y).
3*y*(y - 2)*(y - 1)**2/4
Suppose 5*m - 23 = -h, -37*m = -4*h - 33*m - 4. Suppose 0 - j**2 + 0*j + 5/3*j**h - 1/3*j**5 - 1/3*j**4 = 0. What is j?
-3, 0, 1
Determine b so that -2*b**3 + 73*b**2 - 3 - 53*b**2 + 3 = 0.
0, 10
Let z = -155 + 158. Let w(r) be the second derivative of 4/45*r**6 - 1/6*r**5 - 4*r + 0 + 0*r**z + 1/18*r**4 + 0*r**2. Factor w(q).
2*q**2*(q - 1)*(4*q - 1)/3
Let q(d) be the third derivative of -d**6/180 + d**5/90 + d**4/18 + 710*d**2. Let q(r) = 0. Calculate r.
-1, 0, 2
Let m(a) be the third derivative of -a**8/56 + 4*a**7/147 + 2*a**6/35 - 11*a**5/105 - a**4/28 + 2*a**3/21 + 45*a**2 + 1. Let m(q) = 0. Calculate q.
-1, -1/3, 2/7, 1
Let -4/3 + 1/3*h - 1/3*h**3 + 4/3*h**2 = 0. What is h?
-1, 1, 4
Let r be 2/(-30)*(-16)/48. Let f(g) be the second derivative of -5*g + r*g**6 + 0*g**2 + 1/18*g**4 + 0*g**3 + 0 - 1/15*g**5. Factor f(y).
2*y**2*(y - 1)**2/3
Let a(i) be the second derivative of 2*i**4/69 - 140*i**3/69 + 1225*i**2/23 + 403*i + 1. Factor a(k).
2*(2*k - 35)**2/23
Let g be -4 - 7/((-35)/(-15))*40/(-30). Let -5*d**2 + 0 + g*d + 5/3*d**3 = 0. Calculate d.
0, 3
Suppose 2*n + 4*y = 2*y - 8, -3*n - 24 = 5*y. Find x such that 3/2 - 2*x + 1/2*x**n = 0.
1, 3
Suppose 2*c + 2*c = -5*d + 40, -3*c + 8 = d. Factor -12*i**2 + d*i + i**3 + 24*i**4 - 45*i**4 - 9*i**3 + 33*i**4.
4*i*(i - 1)*(i + 1)*(3*i - 2)
Let f be 1/((-248)/82 + 3). Let o = -39 - f. Find g such that -2/5*g**4 + 0 - 2/5*g + 2/5*g**3 + 2/5*g**o = 0.
-1, 0, 1
Let w(y) = -y**3 - 12*y**2 - 10*y + 13. Let r be w(-11). Suppose -11 = -r*v - 3. Let 20*o**4 + 4*o**2 - 49*o**5 + 24*o**3 - 8*o**4 + 9*o**v = 0. Calculate o.
-2/7, 0, 1
Let p(z) be the first derivative of 0*z**2 + 0*z - 1/2*z**4 + 0*z**3 - 1/5*z**5 + 6 + 1/2*z**6. Suppose p(y) = 0. What is y?
-2/3, 0, 1
Let a(p) be the first derivative of -p**6/33 - 14*p**5/55 - 9*p**4/11 - 4*p**3/3 - 13*p**2/11 - 6*p/11 - 77. Factor a(w).
-2*(w + 1)**4*(w + 3)/11
Let t = 23 + -16. Suppose t = 2*j - 1. Factor 0 - 8/3*p**2 + 3*p**j - p**3 + 4/3*p.
p*(p + 1)*(3*p - 2)**2/3
Let v = -8 + 11. Let b = 7 + -4. Factor -2*h + 0*h + b*h**2 - h - v*h.
3*h*(h - 2)
Let w = 4/713 - -233/85560. Let p(o) be the third derivative of -5*o**2 + w*o**5 + 0 + 1/24*o**4 + 0*o - 1/4*o**3. Solve p(j) = 0 for j.
-3, 1
Let u(h) be the first derivative of -15*h + 5/3*h**3 - 14 - 5*h**2. Factor u(k).
5*(k - 3)*(k + 1)
Suppose 18*x - 104 = -32. Let z(t) be the first derivative of 2 - 2/5*t**5 - t**2 + 1/2*t**x + 2/3*t**3 + 0*t. Factor z(b).
-2*b*(b - 1)**2*(b + 1)
Let q(y) be the third derivative of y**8/171360 + y**7/21420 + y**6/6120 + y**5/5 + 12*y**2. Let s(c) be the third derivative of q(c). Factor s(r).
2*(r + 1