**3 + 0 + 0*z + 4/3*z**4 + 0*z**2 = 0.
0, 1
Let 18/5*n**3 - 12/5 - 2/5*n**4 - 42/5*n**2 + 38/5*n = 0. What is n?
1, 6
Let l(o) be the second derivative of o**7/5040 + o**6/1440 + 2*o**4/3 + 11*o. Let z(v) be the third derivative of l(v). Find h, given that z(h) = 0.
-1, 0
Factor -26/17*b**2 - 22/17*b - 6/17 - 10/17*b**3.
-2*(b + 1)**2*(5*b + 3)/17
Suppose -4*w + 10 = -p + 2*p, 0 = -5*w + 5*p + 25. Suppose w*t - t = 0. Find a such that 3*a**2 - 2*a**3 - a**2 + t*a + 5*a - a = 0.
-1, 0, 2
Factor -8/21*a + 0 - 2/21*a**4 + 2/7*a**3 + 0*a**2.
-2*a*(a - 2)**2*(a + 1)/21
Let p(f) be the third derivative of -f**5/210 - f**4/42 - f**3/21 - 16*f**2. Determine h, given that p(h) = 0.
-1
Let g(y) be the second derivative of -y**5/130 + 11*y**4/13 + 45*y**3/13 + 68*y**2/13 - 265*y. Factor g(q).
-2*(q - 68)*(q + 1)**2/13
What is o in 300 - 276*o + 60 + 4*o**2 + 2*o**3 + 60*o**2 - 6*o**3 = 0?
3, 10
Let n(a) be the second derivative of a**4/30 - 122*a**3/15 + 3721*a**2/5 + 3*a + 2. Find j such that n(j) = 0.
61
Let z(s) = -s**3 - 11*s**2 + 12*s + 8. Let f be z(-12). Solve -4*x**2 + f*x + 4*x**3 - 4 + 8 - 4*x - 8*x = 0 for x.
-1, 1
Factor -11/5*k**3 - 1/5*k**4 + 2 - 9/5*k**2 + 11/5*k.
-(k - 1)*(k + 1)**2*(k + 10)/5
Let p(w) be the first derivative of w**3/6 + 18*w**2 + 648*w + 72. What is f in p(f) = 0?
-36
Find f such that -2/7*f**2 + 120/7 - 2*f = 0.
-12, 5
Let f(w) = w - 1. Suppose 4 = -4*k - 0. Let h(g) = 4*g**4 + 4*g**3 - 24*g**2 - 21*g + 37. Let y(a) = k*h(a) - 5*f(a). Factor y(l).
-4*(l - 2)*(l - 1)*(l + 2)**2
Determine g so that -64/3 - 16/3*g - 1/3*g**2 = 0.
-8
Let v be -28 + 5580/198 - 31/(-11). Find q such that -6/7*q + 2/7*q**v - 4/7*q**2 + 0 = 0.
-1, 0, 3
Let f(r) = -24*r**3 - 2*r**4 - 7*r + r**3 - 9*r**2 + 5*r**4 + 4 + 3. Let i(x) = -2*x**4 + 22*x**3 + 10*x**2 + 6*x - 6. Let c(l) = 6*f(l) + 7*i(l). Factor c(h).
4*h**2*(h + 2)**2
Let l(g) = 18*g + 61. Let v(h) = 27*h + 91. Let w(t) = -8*l(t) + 5*v(t). Let n be w(-4). Factor 0 + 0*q - 14/5*q**n + 4/5*q**2.
-2*q**2*(7*q - 2)/5
Let w(r) = -r**3 - 45*r**2 - r - 43. Let i be w(-45). Solve 2/3*l**3 + 0*l + 0 + 2/3*l**i = 0 for l.
-1, 0
Let k = 327 + -973/3. Let r = 154/123 - 24/41. Solve k*v**2 + 4/3*v**3 + 2/9*v**4 + r + 20/9*v = 0 for v.
-3, -1
Let f be (-2)/(-8) - (-414)/(-3864). Let q(t) be the first derivative of 0*t + 9/14*t**2 + 10 - f*t**3. Solve q(b) = 0 for b.
0, 3
Determine p so that -2/9*p**2 - 4/9*p + 0 = 0.
-2, 0
Let n(k) = -16*k**2 + 44*k + 32. Let a(i) = -i**2 + i. Let j(b) = -20*a(b) + n(b). Determine s, given that j(s) = 0.
-4, -2
Solve -20/3*d**3 - 12*d**2 + 0*d - 1/3*d**4 + 0 = 0 for d.
-18, -2, 0
Let l(d) = 2*d**2 + 26*d + 41. Let s be l(-11). Let v be 4 - (4 + 1 + s). Find j such that -33/5*j - 16/5*j**3 + 72/5*j**v + 4/5 = 0.
1/4, 4
Let i = -7379/36 + 205. Let s(x) be the second derivative of 4*x + 0*x**2 + i*x**4 + 1/30*x**6 + 1/20*x**5 + 1/126*x**7 + 0 + 0*x**3. Factor s(l).
l**2*(l + 1)**3/3
Let s(h) = 1 + 17*h**2 + h**3 + 18*h - 4 + 7 - 2*h**3. Let p be s(18). Find l such that -1/2*l**2 - 1/2*l**p - l**3 + 0 + 0*l = 0.
-1, 0
Suppose -z + 4*z = 6*z. Let s(o) be the second derivative of -3/20*o**5 + 0*o**2 + 0 + 5*o + 1/4*o**4 + z*o**3. Suppose s(w) = 0. What is w?
0, 1
Let n(o) = -2*o**5 - o**4 + o**2 + o + 1. Let c(d) = 5*d**5 - 25*d**4 + 255*d**3 - 1011*d**2 + 1678*d - 902. Let l(h) = c(h) + 2*n(h). Let l(j) = 0. What is j?
1, 3, 10
Let a be 2*357/170 - (-5 + 5 - -3). Solve a*r**4 + 0*r**2 - 2/5*r**5 + 0*r + 0*r**3 + 0 = 0.
0, 3
Let x(t) be the second derivative of t**5/240 - t**4/32 - t**3/6 + t**2/2 + 5*t. Let s(d) be the first derivative of x(d). Factor s(b).
(b - 4)*(b + 1)/4
Suppose 5*i = 870 - 270. Let z be 6/(((-2)/(-8))/(4/i)). Let -z*p + 2/5 + 2/5*p**2 = 0. Calculate p.
1
Let o(f) be the third derivative of -f**9/20160 - f**8/3360 - f**7/1680 - 9*f**5/20 + 5*f**2. Let c(r) be the third derivative of o(r). What is j in c(j) = 0?
-1, 0
Let m(a) = a**2 + 12*a + 2. Let c be m(-12). Let b = c - 0. Factor -b*h**3 + 0*h**2 - 2 + h**4 + 3*h**3 - 3*h**2 - 5*h.
(h - 2)*(h + 1)**3
Suppose 0 = -2*j + 4 + 6. Suppose s + 0 + 3 = 0, -j*m + 4*s + 27 = 0. Factor 11*w**2 + 4*w - 13*w**2 - m + 3.
-2*w*(w - 2)
Let y(d) = -d**2 + 19*d - 14. Suppose -j + 87 = 5*r, -3*j + 2*j = -r + 21. Let u be y(r). Solve -2/15 - 2/3*q - 4/3*q**2 - 2/15*q**5 - 4/3*q**3 - 2/3*q**u = 0.
-1
Let g(w) be the third derivative of -w**6/252 - 2*w**5/105 - w**4/28 - 2*w**3/63 - 213*w**2. Solve g(d) = 0.
-1, -2/5
Let x(c) be the first derivative of 0*c**2 + 0*c + 1/7*c**3 - 24 + 1/28*c**4. Factor x(i).
i**2*(i + 3)/7
Let i(y) be the third derivative of y**7/420 + y**6/80 - y**4/12 - 3*y**2 + 33. Determine f, given that i(f) = 0.
-2, 0, 1
Find b, given that -44*b**3 + 8*b - 12*b - 124*b**2 + 57*b**4 + 48 - 29*b**4 = 0.
-1, 4/7, 3
Let a(i) be the second derivative of -4*i**6/45 - 3*i**5/2 - 103*i**4/18 + 13*i**3 + 35*i**2/3 - 86*i. Suppose a(o) = 0. What is o?
-7, -5, -1/4, 1
Let m(d) be the second derivative of 0 + 0*d**2 - 1/80*d**5 + 0*d**4 + 1/24*d**3 + 16*d. Factor m(k).
-k*(k - 1)*(k + 1)/4
Let z(s) be the third derivative of -2*s**6/63 + 3*s**5/70 - s**4/42 + 8*s**3/3 - 36*s**2. Let c(o) be the first derivative of z(o). Solve c(q) = 0.
1/5, 1/4
Let q(s) be the second derivative of 2*s + 0 + 3/50*s**5 - 1/20*s**4 + 1/50*s**6 + 0*s**2 - 1/5*s**3. Suppose q(x) = 0. What is x?
-2, -1, 0, 1
Factor 6*m - 3 + 3*m**2 + 3*m**3 + 3 - 8*m**3 + 2*m**3.
-3*m*(m - 2)*(m + 1)
Let j(a) = 6*a - a - 12 + 4*a**3 - 2*a**2 - a. Let r(o) = -o**3 + o**2 + o. Let x(b) = -2*j(b) - 12*r(b). Factor x(d).
4*(d - 3)*(d - 1)*(d + 2)
Factor -36 + 24*w - 39*w**2 + 20*w**2 + 15*w**2.
-4*(w - 3)**2
Let n(q) be the third derivative of -1/3*q**3 + 1/240*q**6 + 0*q**4 + 0*q - 8*q**2 - 1/140*q**7 + 7/120*q**5 + 0 - 1/672*q**8. Find p, given that n(p) = 0.
-2, -1, 1
Find p, given that -15*p - 5/2*p**2 - 25/2 = 0.
-5, -1
Let y = 364 + -13103/36. Let u = y - -65/252. Factor -2/7*j**2 + 2/7 + 2/7*j**3 - u*j.
2*(j - 1)**2*(j + 1)/7
Let i(n) be the second derivative of -32*n + 0 - 32/21*n**3 + 128/7*n**2 + 1/21*n**4. Factor i(h).
4*(h - 8)**2/7
Let u(o) = -7*o**3 - 10*o**2 - 5*o + 5. Let y(s) = -s**3 - s + 1. Let t(h) = 2*u(h) - 10*y(h). Factor t(x).
-4*x**2*(x + 5)
Let s(l) be the third derivative of -l**5/150 - 7*l**4/60 - 2*l**3/5 + 5*l**2 + 8*l. Factor s(o).
-2*(o + 1)*(o + 6)/5
Let -2689*j**3 - 63*j**2 + 13*j**4 + 20*j**4 + 7*j + 11*j - 2*j**5 + 2645*j**3 - 2*j**5 = 0. Calculate j.
-1, 0, 1/4, 3, 6
Let f be 1240/(-1020) + (-16)/136 - 1*-2. Suppose 2/9 - f*x**2 - 4/9*x = 0. Calculate x.
-1, 1/3
Factor -2/11*b**4 + 6/11*b**3 + 0*b + 0 + 8/11*b**2.
-2*b**2*(b - 4)*(b + 1)/11
Let o(c) = c**5 - c**4 - 12*c**3 - 16*c**2 + 36*c + 52. Let z(r) = 3*r**5 - 4*r**4 - 36*r**3 - 48*r**2 + 110*r + 158. Let q(x) = -14*o(x) + 4*z(x). Factor q(t).
-2*(t - 3)*(t - 2)*(t + 2)**3
Let d(u) = -6*u**3 + 24*u**2 - 14*u - 28. Let n(q) = -5*q + 10*q - 1650*q**2 + 9 + 4*q**3 - 2*q**3 + 1642*q**2. Let m(t) = -3*d(t) - 8*n(t). Factor m(j).
2*(j - 3)*(j - 2)*(j + 1)
Factor 8/5*r**3 + 6/5*r**2 + 2/5*r**4 + 0 + 0*r.
2*r**2*(r + 1)*(r + 3)/5
Let n(s) = -6*s**2 - 12*s - 13. Suppose 9 = 2*y - 3. Let a(o) = 8*o + 0*o - y + 13 + 3*o**2 - 2*o. Let u(m) = 7*a(m) + 4*n(m). What is x in u(x) = 0?
-1
Let c(o) be the first derivative of -20*o**5 - 110*o**4 - 188*o**3 - 88*o**2 - 16*o - 293. Factor c(r).
-4*(r + 2)**2*(5*r + 1)**2
Let u(g) = -3*g**2 + 17*g + 2. Let c(r) = r + 1. Let t(p) = -c(p) - u(p). Let w(a) = -2*a**2 + 9*a + 1. Let h(f) = -5*t(f) - 9*w(f). Factor h(o).
3*(o + 1)*(o + 2)
Let z(l) be the second derivative of -1/30*l**5 - 4*l + 0 + l**2 - 4/3*l**3 + 1/3*l**4. Let a(b) be the first derivative of z(b). Suppose a(m) = 0. Calculate m.
2
Let x(w) be the first derivative of -w**6/360 + w**5/40 + w**4/6 - w**3/3 + 4. Let i(o) be the third derivative of x(o). Factor i(y).
-(y - 4)*(y + 1)
Let h be (-38)/(-9) - (-12)/(-54). Let w = -2 - -4. Let 2*f**2 + 4*f + 4*f**w - h*f**2 = 0. What is f?
-2, 0
Let p(t) be the second derivative of t**6/6 - 25*t**4/12 + 10*t**2 - 224*t. Suppose p(z) = 0. What is z?
-2, -1, 1, 2
Let t(j) be the first derivative of 2*j**5/5 - 3*j**4 + 22*j**3/3 - 6*j**2 - 77. Solve t(f) = 0 for f.
0, 1, 2, 3
Let c be (-1)/(-1) + 1/3*6. Factor 9/5*v**4 + 12/5*v*