he third derivative of d**7/3150 + d**6/450 + d**5/150 - 5*d**4/12 - 14*d**2. Let t(z) be the second derivative of l(z). Find q such that t(q) = 0.
-1
Let m(g) be the second derivative of g**8/560 + g**7/140 - g**5/20 - g**4/8 + 4*g**3/3 + 16*g. Let y(q) be the second derivative of m(q). Solve y(r) = 0.
-1, 1
Let v be 1239/18 + 25/6 + -4. Let g = v - 344/5. Determine b, given that 0 - 4/5*b**2 + 2/5*b**4 + g*b**5 - 3/5*b**3 + 4/5*b = 0.
-2, 0, 1
Let y be -5*(3 - 3 - 1). Let q(a) = -y*a**3 - 3*a**3 + 7*a**3 + a**2. Let c(j) = -j**3 + 3*j**2. Let d(t) = -3*c(t) + 6*q(t). Factor d(g).
-3*g**2*(g + 1)
Let h be (2/120)/(270/405). Let o(m) be the first derivative of 0*m**4 + 0*m**3 - h*m**5 + 0*m**2 - 1/48*m**6 + 0*m + 7. Determine s, given that o(s) = 0.
-1, 0
Let 718 - 54*b - 52*b - 3310 - 20*b - 18*b - 2*b**2 = 0. Calculate b.
-36
Let m(w) = 13*w**2 - 21*w - 22. Let h(j) = j + 4. Let i(b) = 6*h(b) + m(b). Determine c so that i(c) = 0.
2/13, 1
Let g(v) = 152*v**3 + 295*v**2 + 169*v + 5. Let p(d) = 102*d**3 + 197*d**2 + 113*d + 3. Let l(j) = 5*g(j) - 7*p(j). Find r, given that l(r) = 0.
-1, -2/23
Let c(f) be the first derivative of f**5/25 - 7*f**4/40 - f**3/5 - 5*f**2 + 10. Let m(a) be the second derivative of c(a). Find k, given that m(k) = 0.
-1/4, 2
Let a(n) = -n**4 + n - 1. Let z(j) be the first derivative of -2*j**5 + j**3/3 + 9*j**2/2 - 9*j + 40. Let l(r) = 36*a(r) - 4*z(r). Let l(v) = 0. Calculate v.
-1, 0, 1
Let i(o) be the first derivative of 2*o**2 - 3/4*o**4 + 0*o + 1/6*o**6 - 4/3*o**3 - 8 + 2/5*o**5. Let i(y) = 0. Calculate y.
-2, 0, 1
Let y = 1248 + -1248. Let b(o) be the third derivative of 0*o + 5*o**2 + 0*o**4 + 1/720*o**6 + y*o**3 + 1/360*o**5 + 0. Suppose b(m) = 0. What is m?
-1, 0
Let w = 1706 + -66499/39. Let x = -3/13 + w. Factor 0*t**2 + 4/9 + x*t - 2/9*t**3.
-2*(t - 2)*(t + 1)**2/9
Let z(j) be the third derivative of j**6/24 - j**5/12 - 5*j**4/6 + 10*j**3/3 + 2*j**2 - 6*j. Factor z(g).
5*(g - 2)*(g - 1)*(g + 2)
Let h(o) = 280*o - 838. Let j be h(3). Factor 5/6*y**3 + 10/3*y**j + 5/3 + 25/6*y.
5*(y + 1)**2*(y + 2)/6
Let r(v) be the second derivative of v**6/30 - 13*v**5/30 - 8*v**4/27 + 23*v**3/27 - v**2/2 + 136*v. Determine z so that r(z) = 0.
-1, 1/3, 9
Let z = 194 - 194. Let u(g) be the third derivative of -1/720*g**6 - 1/120*g**5 + 2*g**2 + z + 0*g - 1/48*g**4 - 1/36*g**3. Factor u(r).
-(r + 1)**3/6
Let f = 37 + -33. Let t be (3 - 2)*(-2 + f). Factor -2*n**2 + 8*n - 10*n**2 - 2*n + 3*n**t + 3*n**4.
3*n*(n - 1)**2*(n + 2)
Let w(c) = -8*c**2 - 26*c - 1. Let a(o) = 4*o + 1. Let v = 9 + -5. Let n be a(v). Let j(m) = 3*m**2 + 9*m. Let i(h) = n*j(h) + 6*w(h). Factor i(y).
3*(y - 2)*(y + 1)
Determine h so that -72/7 + 33/7*h**2 - 3/7*h**3 + 6*h = 0.
-2, 1, 12
Factor 14*i - i**4 + 39*i**3 - 49 + 48*i**2 - 98*i**3 + 45*i**3 - 6*i**4 + 8*i**4.
(i - 7)**2*(i - 1)*(i + 1)
Suppose 6 = 8*w - 5*w. Suppose 3*j + 5*y = w*j + 22, y = 5*j - 6. Factor -6*a**j - a**3 - 3*a**3 + 2*a - 6*a - a**4 + 0 - 1.
-(a + 1)**4
Let c = 70 + -66. Solve 15*k**5 - 16*k**5 - 2*k**2 + k**3 - 8 + 8 + 2*k**c = 0.
-1, 0, 1, 2
Determine o so that 4/9*o**2 - 2/9*o**5 - 2/3 + 2/9*o**4 + 4/3*o**3 - 10/9*o = 0.
-1, 1, 3
Factor 48*b**2 - 22*b - 6*b**3 + 3*b**3 + b**3 - 24*b**2.
-2*b*(b - 11)*(b - 1)
Factor 33*o**2 + 947*o**5 + 45*o**3 - 941*o**5 + 27*o**4 + 21*o - 12*o.
3*o*(o + 1)**3*(2*o + 3)
Let m(c) = 7*c**2 + 95*c - 96. Let z(k) = -13*k**2 - 189*k + 192. Let i(j) = 5*m(j) + 3*z(j). Find n such that i(n) = 0.
-24, 1
Factor -4*p**5 + 7*p**5 + 13*p**4 - 227*p**2 - 10*p**3 + 117*p**2 + 110*p**2.
p**3*(p + 5)*(3*p - 2)
Let c(r) be the second derivative of -r**7/1050 + r**6/600 + r**5/150 + r**2/2 + 24*r. Let q(z) be the first derivative of c(z). Suppose q(m) = 0. What is m?
-1, 0, 2
Let u(k) = -4*k**3 - 45*k**2 - 11*k. Let i be u(-11). Determine t, given that 0 - 3/7*t**3 - 2/7*t**2 + 1/7*t**5 + i*t**4 + 0*t = 0.
-1, 0, 2
Let k = 4 - 0. Suppose 0*p = -p + k. Factor c**5 + 5*c**3 - 7*c**3 - 2*c**p + 3*c**3.
c**3*(c - 1)**2
Let u = 24 - 21. Suppose 2*m - 7 + u = 0. Let -4/5 - 4/5*o - 1/5*o**m = 0. Calculate o.
-2
Let l(d) be the second derivative of -2*d**6/15 + d**4/4 - d**3/6 - 157*d. Factor l(c).
-c*(c + 1)*(2*c - 1)**2
Factor 7*k + 25*k**3 - 5*k**4 + 9*k**2 + 8*k - 28*k**2 - 16*k**2.
-5*k*(k - 3)*(k - 1)**2
Let y(l) = -2*l + 7. Let m be y(-22). Factor -m*a**2 + 52*a**2 - 6*a**3 - 20*a**4 - 39*a**3 - 31*a**2 - 5*a.
-5*a*(a + 1)**2*(4*a + 1)
Let i(h) = -3*h**2 - 50*h + 136. Let y be i(-19). Factor -8/5*n**4 - 2/5*n - 12/5*n**y - 8/5*n**2 - 2/5*n**5 + 0.
-2*n*(n + 1)**4/5
Let g = 6 - 6. Let h = 4 + g. Suppose 3*o**4 + 9*o**2 - 3*o**5 + 8*o**3 - 29*o**3 + 12*o**h = 0. Calculate o.
0, 1, 3
Let t(g) be the first derivative of -3*g**5/20 + 171*g**4/4 - 9747*g**3/2 + 555579*g**2/2 - 31668003*g/4 + 10. Factor t(n).
-3*(n - 57)**4/4
Let v(n) = 14*n**3 - 19*n**2 - 4*n + 5. Let y(k) = -19*k**2 + 41*k**3 - 11*k - 33*k**2 - 4*k**2 + 7 + 8. Let i(g) = 11*v(g) - 4*y(g). Let i(t) = 0. What is t?
-1/2, 1
Find q such that -21/4*q + 3/4*q**4 + 15/4*q**2 + 21/4*q**3 - 9/2 = 0.
-6, -1, 1
Let s(l) = l**5 + l**4 - l**2 - 2*l + 1. Let p(h) = -12*h**5 - 36*h**4 - 19*h**3 + 36*h**2 + 30*h + 1. Let q(r) = p(r) + 3*s(r). Determine w so that q(w) = 0.
-2, -1/3, 1
Let t = 15422/27013 - -2/3859. What is u in t*u + 2/7*u**2 + 2/7 = 0?
-1
Let p(b) be the third derivative of 0*b - 8*b**2 + 3/70*b**7 + 0 + 1/6*b**4 + 1/6*b**3 - 1/30*b**5 - 1/10*b**6. Determine m, given that p(m) = 0.
-1/3, 1
Let y be -1*(-1 + 2) - 400. Let h = y + 2017/5. Factor -2/5*b**5 + 0 - h*b**3 - 2/5*b - 8/5*b**2 - 8/5*b**4.
-2*b*(b + 1)**4/5
Solve -9/5*q**3 - 12/5*q**4 + 0 + 12/5*q**2 - 3/5*q**5 + 12/5*q = 0 for q.
-2, -1, 0, 1
Let i be 6 + -1 + (-78 - -73). Let z(l) be the third derivative of 1/4*l**4 + i*l - 2/3*l**3 - 1/30*l**5 + 2*l**2 + 0. Factor z(a).
-2*(a - 2)*(a - 1)
Let c(q) be the third derivative of -3/8*q**6 + 0*q + 2*q**3 + 0 + 3*q**2 + 0*q**4 - 19/20*q**5. Factor c(o).
-3*(o + 1)*(3*o + 2)*(5*o - 2)
Let s = -509/2409 - 62/73. Let f = 30/11 + s. Solve 0 + 1/3*l + f*l**3 - 2*l**2 = 0.
0, 1/5, 1
Let x(h) be the second derivative of h**7/63 - h**6/9 + 4*h**5/15 - 2*h**4/9 + h + 1. Factor x(i).
2*i**2*(i - 2)**2*(i - 1)/3
Let j(c) be the first derivative of c**5/20 + c**4/8 - c**2/4 - c/4 - 87. Find m, given that j(m) = 0.
-1, 1
Suppose 3*j = 11 + 10. Let t = 10 - j. Factor 17*q - 16*q**2 + 3*q**3 + q**t + 15*q - 8 - 12*q.
4*(q - 2)*(q - 1)**2
Let q(d) = -3*d**2 + 5 - 5 - 2 + 4*d**2 + 5*d. Let u be q(-6). Solve 5 - 2*k**3 - 14*k**2 + 4*k**4 + 2*k**4 + u + 2*k**5 - 1 = 0.
-2, -1, 1
Let c(f) = -f - 10*f**2 - 3*f - 4*f**2 + 15*f**2 + 6. Let t be c(3). Factor -1/4*z**4 + 1/4*z - 1/4 - 1/2*z**t + 1/4*z**5 + 1/2*z**2.
(z - 1)**3*(z + 1)**2/4
Let r(g) be the third derivative of g**9/1512 - g**7/210 + g**5/60 + 2*g**3/3 + 18*g**2. Let s(a) be the first derivative of r(a). Factor s(m).
2*m*(m - 1)**2*(m + 1)**2
Find u such that 6/11*u + 0 - 2/11*u**2 = 0.
0, 3
Suppose -5*g + 14 = -2*f, 5*g - 5*f = -221 + 241. Factor -1/3*a**g + 0 + 1/3*a.
-a*(a - 1)/3
Let a be (-11)/(66/18) - -8. Let r(x) be the third derivative of 0 - 1/480*x**6 + 0*x**3 + 0*x + 1/240*x**a + 0*x**4 - 7*x**2. Find i, given that r(i) = 0.
0, 1
Let m(g) = 22*g + 83. Let x be m(-10). Let k = x + 137. Factor -1/7*l**2 + 0 + 1/7*l**3 + k*l.
l**2*(l - 1)/7
Find c, given that 297*c + 2*c**3 - 590 - 33*c**2 - 15*c**2 + 87*c - 434 = 0.
8
Let n(s) be the second derivative of s**6/2340 + s**5/390 + 5*s**3/2 - 7*s. Let m(j) be the second derivative of n(j). Factor m(c).
2*c*(c + 2)/13
Let l(w) be the second derivative of w**6/30 + 3*w**5/20 - w**4/4 - 11*w**3/6 - 3*w**2 + 63*w. Factor l(n).
(n - 2)*(n + 1)**2*(n + 3)
Let c be 7/(21/(-2)) - 62/(-84). Let m(b) be the second derivative of 2*b + 0 + 9/10*b**5 + 1/2*b**3 + 2/5*b**6 + c*b**7 + b**4 + 0*b**2. What is u in m(u) = 0?
-1, 0
Let c(r) = 2*r**2 + 68*r - 150. Let s be 2/9 + (-490)/(-63). Let u(x) = -x**2 - 45*x + 100. Let j(d) = s*u(d) + 5*c(d). What is t in j(t) = 0?
5
Let h(g) be the first derivative of -4/5*g - 13 - 1/30*g**6 - 5/3*g**3 - 7/25*g**5 - 8/5*g**2 - 19/20*g**4. Find o, given that h(o) = 0.
-2, -1
Let o(h) be the third derivative of -17*h**2 + 0 + 2/15*h**5 + 0*h + 27/350*h**7 + 39/200*h**6 + 1/30*h*