at is f in 8/3 - 16/3*f + 10/3*f**2 - p*f**3 = 0?
1, 2
Let l(v) = -3*v**2 - 3*v + 5. Let s(j) = j**2 + j - 2. Let y(n) = 2*l(n) + 5*s(n). Let z(d) = 5*d**3 - d**2 - 3*d. Let t(q) = 3*y(q) - z(q). Factor t(x).
-x**2*(5*x + 2)
Let w be -8 + -28*(-54)/144. Let l(d) = -d - 1. Let x be l(-4). Factor -5/4*a + 5/2*a**2 + 5/4*a**x - w.
5*(a - 1)*(a + 1)*(a + 2)/4
Let n = 1 - 10. Let t be (-8)/(-36) + (-34)/n. Factor -2*f**3 + 3*f**2 + 4*f**3 + 2*f**5 + 4*f**t - 3*f**2.
2*f**3*(f + 1)**2
Let h be ((-60)/(-24))/(2/4). Let t be (2/h)/(0 - (-36)/20). Suppose -2/3*i - t*i**3 - 2/9 - 2/3*i**2 = 0. What is i?
-1
Let w(z) = 7*z**2 - 46*z + 157. Let c(x) = x**2 - x + 1. Let k(n) = n**2 + 18*n - 75. Let h(u) = -4*c(u) + k(u). Let d(l) = -5*h(l) - 2*w(l). Solve d(q) = 0.
9
Let i(t) be the first derivative of 5/12*t**6 - 5/8*t**4 + 0*t**5 + 0*t**2 + 0*t + 2 + 0*t**3. Determine f, given that i(f) = 0.
-1, 0, 1
Suppose 3*v - v - 4 = 0. Factor -2*o**2 + 1 - v*o - 7 + 6.
-2*o*(o + 1)
Factor 3*r**3 + 5*r**2 + 3*r**4 - 18*r**2 - 3*r + 10*r**2.
3*r*(r - 1)*(r + 1)**2
Let y(c) = 2*c**4 - 12*c**3 - 18*c**2 - 4*c. Let v(d) = -5*d**4 + 24*d**3 + 35*d**2 + 6*d. Let z(w) = -3*v(w) - 7*y(w). Suppose z(q) = 0. What is q?
-10, -1, 0
Let u(j) = 7*j**4 + 31*j**3 + 109*j**2 + 185*j + 105. Let r(q) = -8*q**4 - 32*q**3 - 108*q**2 - 184*q - 106. Let m(c) = -5*r(c) - 6*u(c). Factor m(o).
-2*(o + 1)*(o + 2)*(o + 5)**2
Let s(c) be the third derivative of c**5/600 + 11*c**4/80 + 31*c**3/30 - 444*c**2. Determine k, given that s(k) = 0.
-31, -2
Let v(u) = -u + 10. Let z be v(6). Let -6*b + 3*b + 3*b - z*b**2 = 0. Calculate b.
0
Let y(p) be the first derivative of 1/20*p**4 - 1/5*p**2 + 5 - 3/25*p**5 + 1/30*p**6 + 1/5*p**3 + 0*p. Determine r, given that y(r) = 0.
-1, 0, 1, 2
Let h be ((-30)/4 - -6)*1/(-3). Let l(q) be the second derivative of 0*q**2 + 1/4*q**4 - 3*q + h*q**3 + 0. Factor l(f).
3*f*(f + 1)
Let p(v) be the second derivative of -v**7/315 - v**6/45 + 4*v**4/9 + 16*v**3/9 - 21*v**2/2 - 18*v. Let d(w) be the first derivative of p(w). Factor d(u).
-2*(u - 2)*(u + 2)**3/3
Let t(j) = -j**2 + 336*j + 4690. Let g(o) = -112*o - 1564. Let a(h) = -7*g(h) - 2*t(h). Factor a(w).
2*(w + 28)**2
Let r be -4 + (-1 - 7/(-1)). Determine d, given that -2*d**3 - d + d**3 - 2*d**r + 0*d**3 = 0.
-1, 0
Let t be (5 - -4)*21/14*2/6. Factor 0 - 3/4*i**4 + 3/2*i**3 - t*i + 15/4*i**2.
-3*i*(i - 3)*(i - 1)*(i + 2)/4
Let m = -7 + 19. Let r be -2*(m/(-8) - 1). Factor -2*p**4 - 5*p**3 + p**3 + 7*p**3 - 3*p**r + 3*p**2 - p**4.
-3*p**2*(p - 1)*(p + 1)**2
Let 81*r**4 + 12*r**3 - 2*r**3 + 3*r**2 - 9*r - r**3 - 84*r**4 = 0. Calculate r.
-1, 0, 1, 3
Let p be (4 + -3)/((-7)/(-2)). Let t = 692 - 690. Factor -p*d - 1/7*d**t + 0.
-d*(d + 2)/7
Let k(w) = -w**4 - w. Let m(f) = -3*f**5 + 6*f**4 - 18*f**3 + 12*f**2 - 9*f. Let r(z) = -6*k(z) + m(z). Factor r(o).
-3*o*(o - 1)**4
Let h(x) = -2*x**5 - 3*x**4 - 9*x**3 + x**2 - 3. Let g(o) = -o**4 + o**3 - o**2 + 1. Let m be 16/(-6)*3/(-4). Let l(a) = m*h(a) + 6*g(a). Solve l(p) = 0 for p.
-1, 0
Solve 4/7*h**3 - 1/7*h**4 + 2/7*h + 0 - 5/7*h**2 = 0 for h.
0, 1, 2
Let y be (6 + (-66)/12)/6. Let c(d) be the second derivative of -1/60*d**5 + 0*d**2 - 1/9*d**3 - y*d**4 - d + 0. Let c(m) = 0. What is m?
-2, -1, 0
Let u(s) be the first derivative of -s**6/6 - 4*s**5/5 + 3*s**4 - 2*s**3/3 - 11*s**2/2 + 6*s + 48. What is l in u(l) = 0?
-6, -1, 1
Let w(m) = -3*m**2 + 156*m - 148. Let d be w(51). Suppose 8/5*h**4 + 8/5*h**2 + 12/5*h**3 + 0 + 2/5*h**d + 2/5*h = 0. Calculate h.
-1, 0
Let -28/9*d - 7/9*d**2 + 5/9*d**3 + 4/3 = 0. Calculate d.
-2, 2/5, 3
Let r(h) = 5*h**3 + 151*h**2 + 60*h. Let u(x) = 15*x**3 + 455*x**2 + 181*x. Let d(n) = -21*r(n) + 6*u(n). Factor d(m).
-3*m*(m + 29)*(5*m + 2)
Let r(n) be the first derivative of -n**4/4 + 13*n**3/3 - 35*n**2/2 - 49*n + 62. Solve r(s) = 0 for s.
-1, 7
Let q(n) = 472*n - 9912. Let r be q(21). Factor r*p + 0 - 2/7*p**2.
-2*p**2/7
Find y such that y**2 - 4*y**2 - 91*y + 24 + 70*y = 0.
-8, 1
Let b(z) be the third derivative of 1/40*z**4 - 1/1050*z**7 + 0*z + 3*z**2 - 1/200*z**6 + 0 + 1/60*z**5 - 2/15*z**3. Factor b(l).
-(l - 1)**2*(l + 1)*(l + 4)/5
Let w(i) = -20*i**2 - 11*i + 4. Let s(f) = 21*f**2 + 11*f - 5. Let a(n) = -4*s(n) - 5*w(n). Let l(t) = -t**2 - t. Let p(u) = a(u) + 6*l(u). Factor p(c).
5*c*(2*c + 1)
Let u(i) be the second derivative of -2*i - 9/40*i**5 - 8*i**2 + 2 - 7/2*i**4 - 25/3*i**3. Factor u(y).
-(y + 8)*(3*y + 2)**2/2
Let t(r) = -r**3 - 9*r**2 - 18*r + 15. Let v be t(-5). Factor j**v + 2/7*j**2 + 16/7*j**4 + 11/7*j**3 + 0 + 0*j.
j**2*(j + 1)**2*(7*j + 2)/7
Let i = 291/5 - 1457/10. Let g = i - -88. Factor -2*z + g*z**2 + 2.
(z - 2)**2/2
Let f(z) be the third derivative of 0*z - 49/48*z**5 - 5/6*z**3 - 6*z**2 + 0 - 35/24*z**4. Factor f(v).
-5*(7*v + 2)**2/4
Determine p so that -1022*p**2 + 1236*p - 141705 + 1019*p**2 + 14397 = 0.
206
Suppose -7 = -9*z - 7. Let u be 15/5*(-6)/(-9). Factor 0*a**u + 0 + z*a - 1/4*a**3.
-a**3/4
Let r be 0/(4 + -1) - -3. Factor -13*i**r + 49*i**2 + 12*i**3 - 42*i**2.
-i**2*(i - 7)
Let r(b) be the first derivative of -b**4/6 + 2*b**3/9 + 4*b**2/3 - 8*b/3 - 548. Factor r(v).
-2*(v - 2)*(v - 1)*(v + 2)/3
Let f(y) = y**4 + 2*y**3 + y**2 + 2. Suppose 8 - 3 = -s. Let l(x) = 2*x**4 + 4*x**3 + 2*x**2 + 5. Let u(v) = s*f(v) + 2*l(v). Let u(h) = 0. What is h?
-1, 0
Factor -3/2*v + 3/4*v**2 - 45/4.
3*(v - 5)*(v + 3)/4
Let c(a) = a**3 + 2. Let y = 0 + 5. Let i(n) = -2 - n**3 - y + 4. Let m(g) = 6*c(g) + 4*i(g). Determine t, given that m(t) = 0.
0
Factor -72 - 8*q - 2/9*q**2.
-2*(q + 18)**2/9
Let n(a) = 3*a**2 + 16*a - 10. Let r(p) = -p**2 - 8*p + 4. Let l(k) = -4*n(k) - 10*r(k). Factor l(s).
-2*s*(s - 8)
What is p in 13/6*p**2 + 0 + 5*p = 0?
-30/13, 0
Factor -5*h**2 + 880*h - 25679 + 7689 - 20730.
-5*(h - 88)**2
Find c, given that 42/5*c - 3/5*c**3 - 3/5*c**2 + 72/5 = 0.
-3, -2, 4
Let k(j) = -13*j**3 + 15*j**2 - 3*j - 8. Let i(d) = 0*d**3 - 8 + d**3 + 9 + d. Let m(q) = 3*i(q) + k(q). Factor m(y).
-5*(y - 1)**2*(2*y + 1)
Suppose -900 = -52*n - 744. Factor -15/2*j - 27/2*j**2 + 3*j**n + 0.
3*j*(j - 5)*(2*j + 1)/2
Let j(o) = 3*o**2 + 2. Let d(n) be the third derivative of n**5/60 + n**4/24 + n**3/6 + 8*n**2. Let v(f) = 2*d(f) - j(f). Factor v(k).
-k*(k - 2)
Let f(q) = -72*q + 2. Let b be f(-1). Let n = b - 72. Suppose 0*m**n - 1/2*m**3 + 0 - 1/2*m**4 + 0*m = 0. Calculate m.
-1, 0
Let p(y) = -190*y**4 - 390*y**3 - 125*y**2 + 15*y - 15. Let x(c) = 27*c**4 + 56*c**3 + 18*c**2 - 2*c + 2. Let m(w) = 2*p(w) + 15*x(w). Factor m(f).
5*f**2*(f + 2)*(5*f + 2)
Let j(y) = y**3 + 14*y**2 + 13*y + 5. Let t be j(-13). Find c such that -t*c**2 - 24*c - 4*c**2 + 12*c**2 = 0.
0, 8
Let d be (9/(-15))/(81/12*16/(-40)). What is u in -d*u**4 - 2/3*u**2 + 0 + 2/9*u + 2/3*u**3 = 0?
0, 1
Let i be 2*4*((-534)/(-66) + -8). Find b, given that -i*b + 0 - 10/11*b**4 - 138/11*b**3 + 200/11*b**5 + 64/11*b**2 = 0.
-1, 0, 1/4, 2/5
Let s(v) be the first derivative of 0*v - 1/24*v**4 - 1/12*v**2 + 12 - 1/9*v**3. Find o such that s(o) = 0.
-1, 0
Let v(y) be the second derivative of -y**4/36 + 8*y**3/3 - 96*y**2 + 2*y - 7. Factor v(l).
-(l - 24)**2/3
Let i be 3645/(-12) - (2/(-8))/(-1). Let v = i - -1528/5. Factor -4/5*x**2 - 12/5*x - v.
-4*(x + 1)*(x + 2)/5
Let m(y) be the second derivative of -5*y**8/1344 + 11*y**7/504 - y**6/72 + y**4/12 + 15*y. Let g(l) be the third derivative of m(l). Let g(q) = 0. Calculate q.
0, 1/5, 2
Factor 1/4*o**2 + o - 3.
(o - 2)*(o + 6)/4
Let o(z) be the second derivative of z**5/140 + z**4/28 - 2*z**2/7 + 816*z. Factor o(b).
(b - 1)*(b + 2)**2/7
Let c(v) be the third derivative of -8*v**7/105 - 27*v**6/10 - 4*v**5/3 - 9*v**2 - 6. Suppose c(m) = 0. What is m?
-20, -1/4, 0
Let c(v) = -v**3 - 2. Let t be c(2). Let f be (-3)/(-10) + -2 + (-22)/t. Factor -f*l**2 + 2*l**3 + 1/2 - 2*l.
(l - 1)*(l + 1)*(4*l - 1)/2
Suppose -2*n = -10, -n - 3 = -3*o - o. Let g = -246 - -246. Suppose -6/5*u + g + 2/5*u**3 + 4/5*u**o = 0. Calculate u.
-3, 0, 1
Suppose 5*a + 2 = 12. What is g in -a*g**3 + 402*g**2 - 2*g**4 - 402*g**2 = 0?
-1, 0
Let k(z) be the second derivative of -z**5/120 + z**4/72 + z**3/36 - z**2/12 - 65*z. Factor k(v).
-(v - 1)**2*(v + 1)/6
Suppose -p - 3 = 0, -4*p - 23 = a - 6. Let m be (((-16)/90)/(-2))/(a/(-25)). Factor -2/3*