t h be (-2 + (-10)/(-4))*z. Factor 0 + 0*m - 3/4*m**5 + 0*m**2 + h*m**3 + 1/4*m**4.
-m**3*(m - 1)*(3*m + 2)/4
Let d(h) be the first derivative of h**4/12 + 10*h**3/9 + 25*h**2/6 - 83. Factor d(t).
t*(t + 5)**2/3
Let z(b) be the third derivative of b**5/60 - b**4/4 + b**3/3 - b**2. Let q be z(6). Find h, given that 6*h**2 - h + 4*h**4 - 10*h**4 + 3*h**5 - q*h = 0.
-1, 0, 1
Let u be (-7 - (-6 + -1))/(-2). Let p(d) be the first derivative of 0*d**2 + 1/4*d - 1/6*d**3 + 1/20*d**5 + u*d**4 + 2. Factor p(g).
(g - 1)**2*(g + 1)**2/4
Let m(p) be the third derivative of -p**8/171360 - p**7/14280 + 17*p**5/60 - 16*p**2. Let y(w) be the third derivative of m(w). Factor y(a).
-2*a*(a + 3)/17
Let j be ((-36)/(-48))/((-1)/(-72)). What is y in -33*y**2 - 20 + 8*y**2 + j*y + 6*y = 0?
2/5, 2
Suppose 18 = 6*f - 6. Suppose 98 = 30*u + 8. Factor 0 + 0*o - 3/5*o**5 - 6/5*o**f + 0*o**2 + 0*o**u.
-3*o**4*(o + 2)/5
Let q = -2743/24 + 925/8. Determine l, given that -4/3*l**2 + 4/3 + 4/3*l - q*l**3 = 0.
-1, 1
Factor 14/5 - 1/5*l**4 - 23/5*l + 7/5*l**3 + 3/5*l**2.
-(l - 7)*(l - 1)**2*(l + 2)/5
Suppose -5*c - 78 + 68 = x, -2*x + 3*c = -6. Let v(t) be the second derivative of 1/8*t**4 + 10*t + 1/60*t**6 - 1/12*t**3 - 3/40*t**5 + x + 0*t**2. Factor v(m).
m*(m - 1)**3/2
Factor -4/17 - 6/17*r - 2/17*r**2.
-2*(r + 1)*(r + 2)/17
Let u be (-297)/(-110) - (-6)/20. Factor 4/5*m**u - 12/5*m**2 + 0*m + 16/5.
4*(m - 2)**2*(m + 1)/5
Let p = -49 + 69. Suppose 0*b + p*b**3 + 4*b**4 - 16*b - 6*b**5 - 4 + 2*b = 0. What is b?
-1, -1/3, 1, 2
Factor 0*y - 1/3*y**2 - 3*y**3 + 0 - 8*y**4 - 16/3*y**5.
-y**2*(y + 1)*(4*y + 1)**2/3
Let s be (-4 - 9) + 4 - -9. Let g(r) be the second derivative of 4*r + 1/6*r**4 + 1/45*r**6 + 0 - 1/10*r**5 + s*r**2 - 1/9*r**3. Factor g(c).
2*c*(c - 1)**3/3
Let t(g) = -g**3 - 4*g**2 - 2*g. Let f be t(-2). Let a be (f/24)/((-4)/16). Determine o, given that 2/3*o**2 - 2/9*o**3 - a*o + 2/9 = 0.
1
Let i = -76 + 79. Determine u so that -30*u - 24*u - 3*u - 7*u + 28*u**2 + 48 - 4*u**i = 0.
2, 3
Let j(o) be the second derivative of 0 + 33*o - 1/90*o**6 + 0*o**4 + 1/9*o**3 - 1/30*o**5 + 1/6*o**2. Determine d, given that j(d) = 0.
-1, 1
Let o(u) = 5*u + 6. Let s be o(-5). Let g = -16 - s. Determine p so that -4*p - 19 + 13*p - g*p**2 + 13 = 0.
1, 2
Let n(v) be the first derivative of 5*v**6/6 - 11*v**5 + 85*v**4/2 - 230*v**3/3 + 145*v**2/2 - 35*v - 52. Determine l so that n(l) = 0.
1, 7
Let n(z) be the second derivative of 0 - 1/2*z**4 + 0*z**3 + 0*z**2 + 6*z - 3/20*z**5. Find t, given that n(t) = 0.
-2, 0
Let p(z) = -z + 16. Let l be p(11). Suppose 5*s + 5*r + 25 = 0, 4*s + s - 25 = l*r. Let s*v + 0*v**2 + 0 - 1/3*v**4 + 1/3*v**3 = 0. What is v?
0, 1
Let p(l) = -100*l - 114. Let m(k) = -k**2 + 6*k. Let g(o) = -4*m(o) + 2*p(o). Solve g(y) = 0 for y.
-1, 57
Let w be (-2 - 20/(-8))/3. Determine q so that 1/6 - 3/2*q**2 - w*q - 2/3*q**4 - 11/6*q**3 = 0.
-1, 1/4
Let r(n) be the first derivative of -4*n**3 - 9*n**2 - 8*n - 1/2*n**4 - 28. Factor r(a).
-2*(a + 1)**2*(a + 4)
Let w(n) be the third derivative of n**5/30 + n**4/24 + n**3/3 + 48*n**2. Let m be w(-1). Solve -9/4*t + m*t**2 + 1/2 - 5/4*t**3 = 0 for t.
2/5, 1
Suppose -40*d = -36*d - 204. Let l = 53 - d. Factor -2/9*f**l - 2 - 4/3*f.
-2*(f + 3)**2/9
Let d = -1205/22 - -11417/198. Factor -2/9*v + 0 - d*v**2.
-2*v*(13*v + 1)/9
Let h = 164540/9 - 18282. Factor -h*d**3 + 0 + 2/9*d**4 + 2/9*d - 2/9*d**2.
2*d*(d - 1)**2*(d + 1)/9
Let d(w) be the first derivative of 2*w**3/9 - 17*w**2 - 212*w/3 + 250. Factor d(x).
2*(x - 53)*(x + 2)/3
Suppose 0 = 24*r - 23*r - 54. Solve -s**3 + 19*s**3 + r*s + 117*s**2 + 27*s**4 + 69*s**3 + 3*s**5 = 0 for s.
-3, -2, -1, 0
Let b(x) be the third derivative of -x**5/90 + 5*x**4/108 + 2*x**3/27 - 42*x**2 - 6*x. Suppose b(o) = 0. What is o?
-1/3, 2
Let l be 8/(-14) - (-1988)/1078. Let x = l - 31/33. Factor 0 + 0*p**2 - 1/3*p + x*p**3.
p*(p - 1)*(p + 1)/3
Suppose -3*a - 5*w + 13 = 0, -4*w + 2*w = 4*a - 22. Factor -7*z**3 + 3*z**2 + a*z - 3*z**3 - 3 + 4*z**3.
-3*(z - 1)*(z + 1)*(2*z - 1)
Solve 0 - 14/3*x**3 - 49/3*x**2 - 1/3*x**4 + 0*x = 0.
-7, 0
Let i = -91 - -85. Let y be ((-3)/4)/((-36)/(-64)*i). Suppose -y*x**3 - 4/9*x**2 + 4/9 + 2/9*x = 0. Calculate x.
-2, -1, 1
Let a = 7 - 5. Factor 22*y - y**a + 0*y**2 - 20 - 2*y - 4*y**2.
-5*(y - 2)**2
Factor 9/4*w - 3/2*w**3 + 9/4*w**2 - 3/2.
-3*(w - 2)*(w + 1)*(2*w - 1)/4
Let m(j) be the second derivative of -12/5*j**2 - 4/15*j**3 - 1/90*j**4 + 0 - 23*j. Determine s, given that m(s) = 0.
-6
Let u(b) = -7*b**2 + 3*b + 7. Let y(k) = -5*k**2 + 4*k + 7. Let d(h) = 2*u(h) - 3*y(h). What is s in d(s) = 0?
-1, 7
Let h = -1561/3 - -3125/6. Let -1/2*u - h*u**2 + 0 = 0. Calculate u.
-1, 0
Let q(g) be the third derivative of -g**5/720 + 55*g**4/96 - 41*g**3/18 - 370*g**2. Factor q(z).
-(z - 164)*(z - 1)/12
Let h(u) be the first derivative of -31 + 0*u**2 + 0*u + 1/3*u**3 - 1/4*u**4. Factor h(c).
-c**2*(c - 1)
Let w(j) be the first derivative of 2*j**5/85 + 11*j**4/34 + 28*j**3/17 + 4*j**2 + 80*j/17 - 316. Factor w(u).
2*(u + 2)**3*(u + 5)/17
Let y(v) be the third derivative of v**6/18 + 3*v**5/8 + 5*v**4/12 - 2*v**3 + 9*v**2. Let b(f) be the first derivative of y(f). Factor b(u).
5*(u + 2)*(4*u + 1)
Let z(r) be the second derivative of 0*r**2 + 0 + 1/15*r**3 - 1/30*r**4 - 10*r. Factor z(d).
-2*d*(d - 1)/5
Suppose j + 2*j = 6. Let h be (j*-1)/(2 - 3). What is y in -3*y - 3*y**2 + 4*y**h + 2*y**2 = 0?
0, 1
Let l be 168/77 + (-5 - -5). Factor -2/11*y**2 - l*y + 6/11*y**3 + 8/11.
2*(y - 2)*(y + 2)*(3*y - 1)/11
Find z such that -8*z**2 + 7*z - 26*z**3 + 20*z**3 + 0*z + 7*z**3 = 0.
0, 1, 7
Let v be (-2867)/2961 + (-20)/(-18). What is n in 0*n**2 + 0 - v*n**3 + 4/7*n = 0?
-2, 0, 2
Let j(d) = 4*d + 4. Let u be j(6). Let y(q) = 8*q**2 - 5*q + 4. Let m(a) = -a**2. Let o(k) = u*m(k) + 4*y(k). Find t, given that o(t) = 0.
1, 4
Let j(l) = l + 1. Let c = 4 + 0. Let g(m) = m**2 - m + 7. Let i(w) = c*g(w) - 12*j(w). Factor i(u).
4*(u - 2)**2
Let j(m) be the first derivative of -2*m**3/57 - 2*m**2/19 + 30*m/19 - 56. What is q in j(q) = 0?
-5, 3
Let w(x) be the second derivative of x**5/160 + 25*x**4/96 - 13*x**3/24 + 259*x. Determine f, given that w(f) = 0.
-26, 0, 1
Let c(q) = 16*q + 28. Let v be c(-2). Let a be v/6 + (-96)/(-90). Factor -a*f + 4/5 - 2/5*f**2.
-2*(f - 1)*(f + 2)/5
Let t(z) = -z**2 - z. Suppose f + 4 - 3 = 0. Let p(w) = -2*w - 2*w**3 + 13 - 2*w**4 - 31 + 22 - 9*w**2 + 3*w**2. Let q(d) = f*p(d) + 12*t(d). Factor q(r).
2*(r - 2)*(r + 1)**3
Let o(q) be the third derivative of q**6/540 - 5*q**5/54 - 13*q**4/54 + 120*q**2 + 2. Factor o(x).
2*x*(x - 26)*(x + 1)/9
Determine q so that -255*q**3 + 5043088 - 5043088 - 5*q**4 - 250*q**2 = 0.
-50, -1, 0
Suppose -1301*m = -1303*m + r - 2, 3*r = 6. Factor 3/4*s**4 + 0*s + 1/2*s**3 + 1/4*s**5 + 0 + m*s**2.
s**3*(s + 1)*(s + 2)/4
Let v(x) be the second derivative of 0 + 4*x - 1/2*x**5 - 5/6*x**4 - 1/2*x**2 - 1/42*x**7 - 1/6*x**6 - 5/6*x**3. Factor v(t).
-(t + 1)**5
What is p in -13/3*p**2 + 115/6*p**3 + 0 + 0*p - 43/6*p**4 - 2/3*p**5 = 0?
-13, 0, 1/4, 2
Let v(a) = a**3 + 17*a**2 - a - 15. Let h be v(-17). Factor -2*y**3 + 108*y**4 + 6*y**3 - h*y**2 - 110*y**4.
-2*y**2*(y - 1)**2
Let a(b) = 16*b**2 - 24*b - 33. Let g be (-18)/(-12) - (-15)/(-2). Let u(p) = -2*p**2 + 3*p + 4. Let s(w) = g*a(w) - 51*u(w). Find z, given that s(z) = 0.
-1/2, 2
Let y(v) be the third derivative of -1/60*v**8 - 1/25*v**6 + 0*v**3 + 27*v**2 + 0*v**5 + 0*v + 0 + 0*v**4 + 46/525*v**7. Suppose y(b) = 0. Calculate b.
0, 2/7, 3
Let k = -3705 - -3705. Factor k + 2*s + 2*s**2 + 1/2*s**3.
s*(s + 2)**2/2
Suppose k + 10 = 3*z - 0*z, 0 = 4*k + z - 12. Let y(q) be the first derivative of 2 - 1/12*q**3 + 0*q**k + 1/4*q. Factor y(r).
-(r - 1)*(r + 1)/4
Let u(y) be the third derivative of -7*y**6/24 - 31*y**5/4 - 65*y**4/12 - 3*y**2 + 12*y. Factor u(p).
-5*p*(p + 13)*(7*p + 2)
Let a be (-4)/1 - ((-168)/27 - 0). Let d = a + -82/45. What is k in -2/5*k + 6/5 - 6/5*k**2 + d*k**3 = 0?
-1, 1, 3
Let a(v) = v**2 - 4*v - 4. Let q be a(6). Suppose 5*k + q = 4*t, -5*t - k = -2*k - 10. Suppose 4/7*c**3 - 6/7*c - 6/7*c**t + 4/7 = 0. What is c?
-1, 1/2, 2
Factor -2018*g + 157919*g**3 - 102794*g**3 - 62*g - 53025*g**2 - 20.
5*(g - 1)*(105*g + 2)**2
Suppose -18 = -6*c - 6. Suppose c - 9