iven that -3/7*f**5 + 9/7*f**3 - 3/7*f**4 + 0 + 3/7*f**2 - 6/7*f = 0.
-2, -1, 0, 1
Let t(h) = -32*h**2 + 332*h + 1034. Let p(x) = -10*x**2 + 110*x + 345. Let w(v) = 10*p(v) - 3*t(v). Factor w(g).
-4*(g - 29)*(g + 3)
Suppose 4*o = 26*o + 43*o. Factor 3/2*v + o*v**2 - 1 - 1/2*v**3.
-(v - 1)**2*(v + 2)/2
Let o be (25/75)/(3/36) + -2. Suppose 2/13*x**4 + 2*x**o + 24/13*x + 8/13 + 12/13*x**3 = 0. Calculate x.
-2, -1
Let d(m) be the first derivative of -20*m**3 - 62*m**2 - 8*m + 2. Factor d(h).
-4*(h + 2)*(15*h + 1)
Factor 1 + 3/4*y - 1/4*y**2.
-(y - 4)*(y + 1)/4
Let l be -3 + 183/45 - (4 + -3). Let x = 4/15 - l. Factor -2/5 - 4/5*c**2 + x*c**3 + c.
(c - 2)*(c - 1)**2/5
Let o(x) = 18*x**3 - 76*x**2 - 166*x - 66. Let v(s) = -s**3 - 2*s**2 - s - 1. Let b(l) = o(l) + 6*v(l). Factor b(t).
4*(t - 9)*(t + 1)*(3*t + 2)
Let r = -7800 - -7802. Find q such that -1/3*q + 1/3*q**2 - r = 0.
-2, 3
Let i be (-1644)/685*10/(-8). Let -270/7*r**5 + 1278/7*r**4 - 2208/7*r**i + 96/7 + 1776/7*r**2 - 96*r = 0. What is r?
2/5, 2/3, 1, 2
Let a(v) be the third derivative of 0*v**3 + 5*v**2 + 0 + 1/70*v**7 + 3/40*v**6 + 1/8*v**4 + 3/20*v**5 + 0*v. Factor a(r).
3*r*(r + 1)**3
Let g be 8/12 - ((-21)/9 + 1). Suppose 5*n - 6 = z, -z + 2*z - n - g = 0. Factor 2 - l**3 + 3/2*l**2 + 4*l - 1/2*l**z.
-(l - 2)*(l + 1)**2*(l + 2)/2
Let r(d) be the third derivative of -1/150*d**5 + 0 - 1/30*d**4 + 0*d - 1/15*d**3 + 15*d**2. What is s in r(s) = 0?
-1
Let h(q) be the first derivative of -4*q**5/5 + 2*q**4 + 76*q**3/3 + 56*q**2 + 48*q + 890. Suppose h(s) = 0. What is s?
-2, -1, 6
Let q(l) be the third derivative of l**7/2100 - l**6/450 - 2*l**5/75 - 19*l**3/6 + 27*l**2. Let y(g) be the first derivative of q(g). Factor y(m).
2*m*(m - 4)*(m + 2)/5
Suppose 0 = -2*n + 6*n - n. Let v = -139/2 - -703/10. Find b, given that v*b - 2/5 + 2/5*b**4 + n*b**2 - 4/5*b**3 = 0.
-1, 1
Let -22/5*r**4 + 2/5*r**5 - 62/5*r + 12*r**3 + 42/5 - 4*r**2 = 0. Calculate r.
-1, 1, 3, 7
Let x(l) be the first derivative of 4*l**3/3 - 48*l**2 + 71. Factor x(g).
4*g*(g - 24)
Let w be 13/3 - 4/12. Let y be (2/w)/(5/70). Factor 8*d**2 - 4*d**2 - 3*d + y*d.
4*d*(d + 1)
Let b(l) be the first derivative of 0*l - 3/2*l**4 - 8/3*l**3 + 1/3*l**6 + 4*l**2 - 35 + 4/5*l**5. Suppose b(y) = 0. What is y?
-2, 0, 1
What is o in 9*o + 3*o**3 + 37*o**2 - 80*o**2 + 55*o**2 = 0?
-3, -1, 0
Factor -4*o**5 - 26*o**3 - 576*o**4 - 118*o**3 + 528*o**4.
-4*o**3*(o + 6)**2
Let t(l) be the second derivative of -l**6/150 - 27*l**5/50 - 829*l**4/60 - 90*l**3 - 250*l**2 - 2*l - 133. Determine k, given that t(k) = 0.
-25, -2
Let f = -4 + 0. Let s(t) = 10*t**3 - 5*t**2 - 10*t - 1. Let b(x) = 6*x**2 + 11*x + 2*x**3 + 10 - 8 - 13*x**3. Let l(y) = f*s(y) - 3*b(y). Solve l(q) = 0.
-1, 2/7, 1
Factor -10414/5*b**2 - 992/5*b - 24/5 - 3362/5*b**3.
-2*(b + 3)*(41*b + 2)**2/5
Let n(j) = j**3 - 6*j**2 + 17*j - 1. Let z be n(8). Let o = -1577/6 + z. Suppose 2/3*u**2 - 1/2*u + 0 - o*u**3 = 0. What is u?
0, 1, 3
Let q(w) be the second derivative of -w**4/4 - 3*w**3 - 27*w. Factor q(m).
-3*m*(m + 6)
Suppose 0 = -2*i + 10. Let b(y) be the first derivative of -3 + y**2 + 3*y**4 + 1/3*y**6 + 8/3*y**3 + 0*y + 8/5*y**i. Factor b(r).
2*r*(r + 1)**4
Let v(y) be the first derivative of -4*y**3/15 - 76*y**2/5 - 1444*y/5 + 165. Let v(p) = 0. What is p?
-19
Let f(z) be the second derivative of z**5/90 + 7*z**4/54 - 28*z**3/27 + 20*z**2/9 + 147*z. Suppose f(t) = 0. What is t?
-10, 1, 2
Let g(m) be the third derivative of m**8/20160 - m**7/5040 + m**5/4 + 17*m**2. Let s(i) be the third derivative of g(i). Factor s(k).
k*(k - 1)
Let s = -8 + 13. Suppose s*k + 0*k - 30 = 0. Let z(w) = -9*w**3 - 6*w**2 - 3*w + 12. Let t(p) = p**3 + p - 1. Let q(m) = k*t(m) + z(m). What is u in q(u) = 0?
-2, -1, 1
Let n(u) be the third derivative of -u**6/600 - 167*u**5/100 - 27889*u**4/40 - 4657463*u**3/30 + 468*u**2. Let n(r) = 0. What is r?
-167
Let f = -10 - -19. Let t(d) = -d**2 + 8*d + 12. Let v be t(f). Determine p, given that -p**v - 5*p**2 - 2*p + 7*p - p**4 + 1 + 8*p**2 + 1 = 0.
-1, 2
Let r(l) = -5*l**2 - 7*l - 2. Let i(v) be the first derivative of 10*v**3/3 + 7*v**2 + 4*v - 30. Let w(d) = -2*i(d) - 5*r(d). Find k such that w(k) = 0.
-1, -2/5
Let w(t) be the second derivative of t**3 - 3/8*t**4 + 0 + 0*t**5 + 5*t + 1/40*t**6 + 5/2*t**2. Let q(o) be the first derivative of w(o). Factor q(y).
3*(y - 1)**2*(y + 2)
Suppose 4201 - 4161 = 20*d. Determine c so that 14/15*c**d - 2/5 + 8/15*c = 0.
-1, 3/7
Let k(h) be the second derivative of 2*h**7/21 - 16*h**6/45 - h**5/5 + 4*h**4/3 + 8*h**3/9 - 53*h. Find y, given that k(y) = 0.
-1, -1/3, 0, 2
Let m(i) be the second derivative of -i**5/20 + i**4/3 - i**3/6 - 3*i**2 + 165*i. Let m(d) = 0. Calculate d.
-1, 2, 3
Let p(d) be the first derivative of 4/35*d**5 - 16/21*d**3 - 18 + d**2 + 1/7*d**4 - 4/7*d - 1/21*d**6. What is c in p(c) = 0?
-2, 1
Solve -144/13 + 1036/13*u**4 - 1292/13*u**2 - 1254/13*u**3 + 952/13*u - 98/13*u**5 = 0.
-1, 2/7, 2, 9
Let l = 83 + -80. Suppose a + 5*p + 8 = 0, 5*a - 5*p - 20 = -0*a. Find b such that 9/7*b**l + 0 + 9/7*b**a + 3/7*b + 3/7*b**4 = 0.
-1, 0
Let g be (-1393)/(-220) - (-8)/(-44). Let w(u) be the second derivative of g*u**5 - 3*u + 0*u**4 + 0 + 3*u**2 + 14/5*u**6 - 11/2*u**3. Solve w(a) = 0.
-1, 1/4, 2/7
Solve -3925 + 21*t**2 - 142*t + 0*t**3 + 4009 - 22*t + 55*t**2 + 4*t**3 = 0 for t.
-21, 1
Let h = 39 + -37. Let -2*l**2 - 3*l**2 - 2*l**h + 6*l**2 = 0. Calculate l.
0
Let j(z) be the second derivative of -1/27*z**3 + 0 - 1/108*z**4 + 0*z**2 + 1/90*z**5 + 11*z + 1/270*z**6. Let j(i) = 0. Calculate i.
-2, -1, 0, 1
Suppose 3*g = -2*g - o - 12, 0 = -g + 2*o - 9. Let m be ((-11)/(-2))/(g/(-6)). Solve -3*k**2 - 2*k**3 - 20*k**4 - 3*k**5 - 7*k**3 + m*k**4 = 0.
-1, 0
Let b(y) be the third derivative of y**9/100800 - y**8/5600 + 3*y**7/2800 - 19*y**5/20 + 5*y**2 + 3. Let r(h) be the third derivative of b(h). Factor r(p).
3*p*(p - 3)**2/5
Let u be (3/5)/(15/(-9525)). Let y = 4199/11 + u. Factor 32/11*t + 10/11*t**2 + y - 50/11*t**3.
-2*(t - 1)*(5*t + 2)**2/11
Let k be (-2)/(-3) + 2/(-3). Suppose 3*u - 5*u = k. Determine f, given that u*f + 2*f + 3*f**2 + 3*f - 6 - 2*f = 0.
-2, 1
Suppose -2 = -4*z + 2*z. Suppose 2*s - 5 = -z. What is d in -4*d**2 - d**2 - 2*d**3 + 6*d**s + d**3 = 0?
0, 1
Let k(t) be the third derivative of t**8 + 772*t**7/35 + 3743*t**6/40 + 355*t**5/2 + 1437*t**4/8 + 99*t**3 + 3*t**2 - 15*t. Suppose k(g) = 0. What is g?
-11, -1, -3/4, -2/7
Factor 15 + 13/4*v**2 + 1/4*v**3 + 13*v.
(v + 2)*(v + 5)*(v + 6)/4
Let f(z) be the third derivative of 0*z + 1/48*z**6 + 9/8*z**5 + 0 + 1215/4*z**3 - 31*z**2 + 405/16*z**4. Suppose f(h) = 0. Calculate h.
-9
Let t = 1559/303 + 19/101. Factor -5*z**2 - 1/3 - 8/3*z + t*z**4 + 8/3*z**3.
(z - 1)*(z + 1)*(4*z + 1)**2/3
Let x(l) be the third derivative of -l**5/120 - 13*l**4/12 - 169*l**3/3 - 74*l**2. Find d, given that x(d) = 0.
-26
Let f = 421/3870 + 1/430. Let g(y) be the first derivative of -1/6*y**4 + 2/9*y**3 - 2/15*y**5 + 0*y + 0*y**2 + f*y**6 - 4. Let g(u) = 0. Calculate u.
-1, 0, 1
Let u(l) be the first derivative of 2*l**6/15 - 4*l**5/5 + 6*l**4/5 + 16*l**3/15 - 16*l**2/5 - 46. Find h, given that u(h) = 0.
-1, 0, 2
Let c(s) be the third derivative of -5*s**8/168 - 43*s**7/42 - 5*s**6/6 + 7*s**5/4 - 355*s**2. Solve c(v) = 0.
-21, -1, 0, 1/2
Let j(v) = -v**2 + 2*v + 14. Let p be j(5). Let o be 26/52 - p/(-2). Find x, given that -2/7*x**2 + o - 2/7*x = 0.
-1, 0
Let d(p) = -p**3 + 81*p**2 + 3. Let z be d(81). Suppose -1/10*x**z - 3/10*x**2 + 1/10*x + 3/10 = 0. Calculate x.
-3, -1, 1
Let a(y) be the second derivative of -y**7/280 + y**6/120 + 2*y**3/3 + 14*y. Let w(k) be the second derivative of a(k). Suppose w(u) = 0. What is u?
0, 1
Let h(f) be the third derivative of -2*f**7/1575 - 7*f**6/900 - f**5/50 - f**4/36 - f**3/45 + 1097*f**2. Determine c, given that h(c) = 0.
-1, -1/2
Let z be (-10)/(-6) + (-16)/(-48). Let v(i) = i**3 - 2*i**2 + i. Let t be v(2). Factor 3*g - g**2 + 4*g**t + g**z.
g*(4*g + 3)
Let d(f) be the first derivative of 1/60*f**4 + 1/30*f**3 + 8*f - 3 - 1/10*f**2 - 1/100*f**5. Let w(u) be the first derivative of d(u). Factor w(q).
-(q - 1)**2*(q + 1)/5
Let j(i) be the first derivative of 9*i**5/40 + 17*i**4/8 + 21*i**3/4 - 27*i**2/4 + 14*i + 13. Let p(n)