= 0. Calculate u.
1, 45
Let a(f) = -3*f**2. Suppose -3*q - i = -6*q - 15, 4*i = 0. Let t(n) = n**3 + 6*n**2 - n - 1. Let h(x) = q*a(x) - 3*t(x). Find m, given that h(m) = 0.
-1, 1
Let i(w) be the second derivative of -w**6/180 - 47*w**5/120 - 5*w**4/4 + 20*w - 4. Factor i(s).
-s**2*(s + 2)*(s + 45)/6
Let f = -240/11 + 731/33. Let v(a) be the first derivative of -1 - f*a**3 + 0*a + 0*a**2. Factor v(p).
-p**2
Let b(d) be the first derivative of -12 - 4/35*d**5 + 24/7*d**2 - 3/7*d**4 + 8/21*d**3 + 32/7*d. Determine c so that b(c) = 0.
-2, -1, 2
Let x(r) be the second derivative of -r**4/42 - 20*r**3/3 - 700*r**2 + 253*r. Factor x(z).
-2*(z + 70)**2/7
Let x(o) = -o**3 - 45*o**2 + 85*o - 420. Let h be x(-47). Suppose 0 - 3/2*s - 1/2*s**h - 1/2*s**4 + 5/2*s**2 = 0. What is s?
-3, 0, 1
Let i(y) be the first derivative of -47 + 2*y**3 + 0*y**4 - 2*y**2 - 2/5*y**5 + 0*y. Solve i(j) = 0 for j.
-2, 0, 1
Let b be 23 - 19/(494/546). Solve 45/2 - 5*v**b + 10*v**3 + 5/2*v**4 - 30*v = 0 for v.
-3, 1
Let j be 54/(-11) + (-20)/220. Let v be (8/6)/(j - 85/(-15)). What is i in 0*i + 2/7*i**5 + 6/7*i**v + 0 + 10/7*i**4 + 2*i**3 = 0?
-3, -1, 0
Let v(s) be the second derivative of 0 + 0*s**3 + 1/30*s**5 - 1/18*s**4 + 0*s**2 - 8*s. Determine t so that v(t) = 0.
0, 1
Suppose -2*m = 2*m - m - 9. Factor -5/2*t**2 + 17/2*t - m.
-(t - 3)*(5*t - 2)/2
Let b be (1063/(-5315))/(((-3)/(-10))/(1/(-2))). Determine g so that -b*g**3 - 5/3*g + 2/3 + 4/3*g**2 = 0.
1, 2
Solve 6/5*w**3 - 6/5*w + 8/5 - 2*w**2 + 2/5*w**4 = 0 for w.
-4, -1, 1
Let b(w) = 39*w**2 + 34*w**2 + w**5 + 5*w - 74*w**2 + w**4. Let k(i) = -i**5 + i**4 - i**2 - i. Let q(f) = 2*b(f) + 6*k(f). Factor q(l).
-4*l*(l - 1)**3*(l + 1)
Let c(x) be the second derivative of -1/6*x**3 - 11*x + 1/60*x**5 + 0*x**4 + 0 + 1/3*x**2. Let c(n) = 0. What is n?
-2, 1
Let q be (-2 - 80/(-36)) + 156/27. Let n(g) = -g**3 + 6*g**2 - 5*g + 30. Let a be n(q). Determine p, given that 0 + 0*p**2 - 1/4*p**3 + a*p = 0.
0
Let s be 3 - (1495/644 + (-1)/(-4)). Suppose s - 3/7*u**3 + 9/7*u**2 - 9/7*u = 0. What is u?
1
Factor 29*l**2 + 21*l**2 + 24*l**2 - 16 - 54*l - 67*l**2.
(l - 8)*(7*l + 2)
Let -3 - 3*z**2 + 201*z - 218*z + 21 + 2*z**2 = 0. What is z?
-18, 1
Let f(n) be the first derivative of -n**4/16 + n**3/4 + 25*n**2/8 - 75*n/4 + 14. Factor f(g).
-(g - 5)*(g - 3)*(g + 5)/4
Let s(n) = 669*n**3 + 1300*n**2 - 103*n - 5. Let m(x) = -x**3 - 1. Let z(q) = -14*m(q) + 2*s(q). Let z(g) = 0. What is g?
-2, 1/26
Let h(f) be the second derivative of f**5/15 - 4*f**4/3 + 32*f**3/3 - 15*f**2/2 - 4*f. Let r(z) be the first derivative of h(z). What is t in r(t) = 0?
4
Let m be (-6)/(3/(-9)*-6). Let z(y) = -y**3 - 2*y**2 + 3*y + 1. Let l be z(m). Suppose l + 2*p**2 - 4*p + 5 - 4 = 0. What is p?
1
Suppose -485/2*h - 5/2*h**2 + 0 = 0. Calculate h.
-97, 0
Let o(w) be the first derivative of -4*w - 5/2*w**4 - 6*w**3 - 7*w**2 - 7 - 2/5*w**5. Factor o(k).
-2*(k + 1)**3*(k + 2)
Let x(h) be the third derivative of h**7/105 - h**6/20 - 2*h**5/5 + 13*h**4/3 - 16*h**3 + 2*h**2 - 102. Find d such that x(d) = 0.
-4, 2, 3
Let l(d) = -d**3 + d**2 + 1. Let n(u) = 4*u**3 - 6*u**2 + 8*u - 6. Suppose -5*k = 4*x - 5*x + 26, -2*x = 8. Let q(s) = k*l(s) - n(s). Factor q(p).
2*p*(p - 2)*(p + 2)
Let d(t) be the third derivative of t**8/840 - t**7/175 - t**6/150 + 2*t**5/25 - 2*t**4/15 - 6*t**2 - 5*t. Let d(y) = 0. Calculate y.
-2, 0, 1, 2
Suppose b = -3, 2*b - 7*b - 45 = -3*z. Suppose z + 40*d + 6 - 32*d - 6 - 2*d**2 = 0. Calculate d.
-1, 5
Let q = -8473/104 + 653/8. Factor -2/13 + 4/13*i - q*i**2.
-2*(i - 1)**2/13
Suppose -206*j + 216*j = -2 + 2. Solve 3/2*t**5 + 9/2*t**4 - 9*t + j - 9/2*t**3 - 33/2*t**2 = 0 for t.
-3, -1, 0, 2
Let y(u) be the second derivative of 3*u**5/160 - 13*u**4/32 - u**3/16 + 39*u**2/16 - 96*u. Determine b so that y(b) = 0.
-1, 1, 13
Let z(b) be the first derivative of -1/14*b**6 + 12/35*b**5 + 0*b**4 - 16/7*b**3 + 24/7*b**2 + 0*b + 29. Solve z(t) = 0.
-2, 0, 2
Let w = 330 + -36634/111. Let p = w - -127/444. Suppose -p*m**3 + 1/2*m**2 + 0 + 0*m = 0. Calculate m.
0, 2
Let a be 54/15 - 44/(-110). Let l(r) be the third derivative of 0*r**a + 2*r**3 + 0 + 0*r - r**2 - 1/20*r**5. Find u, given that l(u) = 0.
-2, 2
Let o be (15 - 33)*(-2)/9. Factor k**3 + 0 + 0*k + 1/3*k**2 + 1/3*k**5 + k**o.
k**2*(k + 1)**3/3
Let v = 47 - 35. Let w = 16 - v. Factor -3/4*q**w - 9*q - 3 - 9/2*q**3 - 39/4*q**2.
-3*(q + 1)**2*(q + 2)**2/4
Let h(m) be the first derivative of 4/17*m**2 + 0*m - 2 - 1/34*m**4 + 0*m**3. Factor h(f).
-2*f*(f - 2)*(f + 2)/17
Let v be ((-5292)/(-729))/(2/3). Let l(z) be the first derivative of 0*z**3 - 2 + 0*z + 4/3*z**4 + v*z**6 - 112/15*z**5 + 0*z**2. Factor l(c).
4*c**3*(7*c - 2)**2/3
Let h(g) = -g**2 - 9*g. Let f be h(-9). Suppose -2*o - 6 = -3*j, f = 5*j - 4*j + 4*o - 2. Let 7*t - 13*t - 10*t - 6*t**2 + j*t**2 - 16 = 0. What is t?
-2
Let v(r) be the first derivative of -r**6/480 + r**5/240 + 11*r**2/2 + r + 3. Let w(h) be the second derivative of v(h). Factor w(n).
-n**2*(n - 1)/4
Let t(w) be the second derivative of -3*w**3 - 7/4*w**4 + 0*w**2 + 0 + 22*w - 3/20*w**5. Factor t(m).
-3*m*(m + 1)*(m + 6)
Let p(t) = 2*t. Let o(m) = -4*m**2 + 38*m + 52. Let n(r) = -o(r) - 5*p(r). Factor n(s).
4*(s - 13)*(s + 1)
Let s(q) = q**2 - 11*q + 25. Let h be s(11). Factor 38*z - 10*z**2 + 13*z + h*z**2 + 18.
3*(z + 3)*(5*z + 2)
Let h(z) = -z**5 + 4*z**4 - 3*z**2 - 3*z - 3. Let g(f) = 2*f**2 + 2*f**5 + 2*f - f**4 + 3 - 3*f**4 - 1. Let k(t) = 3*g(t) + 2*h(t). Factor k(m).
4*m**4*(m - 1)
Let y be 30/6 - (3 - 0). Find x such that -3*x**4 - 95*x**2 + 60*x**3 - 2*x**4 - 60*x - 97*x**2 + 17*x**y + 180 = 0.
-1, 1, 6
Let n(i) be the second derivative of -i**6/90 + 7*i**5/30 - 5*i**4/4 + 26*i**3/9 - 10*i**2/3 - 680*i. Factor n(s).
-(s - 10)*(s - 2)*(s - 1)**2/3
Let q be (6/(-90))/(50/(-60)). Let k(p) be the first derivative of 1/10*p**4 - 1/5*p**2 + q*p**5 - 2/15*p**3 - 5 + 0*p. Suppose k(h) = 0. Calculate h.
-1, 0, 1
Let b(q) = 4*q**3 - 37*q**2 + 14*q - 43. Let u be b(9). Solve 2/7 + 22/7*s**2 - u*s - 10/7*s**3 = 0.
1/5, 1
Let t(n) be the second derivative of n**6/105 - 13*n**5/70 + 43*n**4/42 - 5*n**3/7 - 72*n**2/7 - 28*n + 2. Factor t(s).
2*(s - 8)*(s - 3)**2*(s + 1)/7
Let u(h) = -15*h**2 - 272*h - 4602. Let a(r) = 8*r**2 + 136*r + 2300. Let c(g) = 11*a(g) + 6*u(g). Factor c(q).
-2*(q + 34)**2
Let b(m) = -3*m**2 + 56*m - 237. Let i be b(12). Solve -3/4*l**4 - 3*l**2 + 0 + i*l**3 + 0*l = 0 for l.
0, 2
Suppose 3*q = 6*q - 15. Suppose q*v - g = 78 - 0, 87 = 5*v - 4*g. Factor 2*m + 2*m**3 + 4*m - 4*m**3 - 4*m**3 - v*m**4 + 15*m**2.
-3*m*(m - 1)*(m + 1)*(5*m + 2)
Let l(u) be the third derivative of u**8/1680 + u**7/210 + u**6/72 + u**5/60 - 2*u**3 + 15*u**2. Let i(d) be the first derivative of l(d). Factor i(b).
b*(b + 1)**2*(b + 2)
Suppose 0 = 12*v - 984 + 876. Let c(g) be the third derivative of 0*g + 1/24*g**4 - 1/120*g**5 - 1/12*g**3 - v*g**2 + 0. Let c(t) = 0. What is t?
1
Let c(r) = 2*r + 1. Let j be c(-5). Let a be (-2 - j/3)*4. Find p such that 2*p**2 - a*p**2 + 2*p**4 + p**5 - 13*p + 12*p = 0.
-1, 0, 1
Let m(t) be the first derivative of -t**5/150 + t**4/60 - 23*t**2/2 + 27. Let a(b) be the second derivative of m(b). Factor a(j).
-2*j*(j - 1)/5
Let t be 7/((-98)/(-203)) - (-3)/(-6). Let i(r) = -r**3 + 13*r**2 + 13*r + 16. Let g be i(t). Determine n, given that 3/4*n + 0 + 3/4*n**3 - 3/2*n**g = 0.
0, 1
Let i(k) = k**3 + 1. Let u(g) = 25*g**3 - 35*g**2 - 20*g + 90. Let s(d) = -30*i(d) + u(d). Factor s(b).
-5*(b - 1)*(b + 2)*(b + 6)
Let q(z) be the third derivative of 30*z**2 + 1/420*z**6 - 1/28*z**4 + 0*z**3 + 0 + 0*z - 1/105*z**5. Solve q(k) = 0.
-1, 0, 3
Let j(w) be the first derivative of 13 + 15/2*w**2 + 5/3*w**3 + 0*w. What is s in j(s) = 0?
-3, 0
Let d be -6 - 282/(-28) - (700/(-8))/(-25). Determine q so that -d*q - 6/7 + 2/7*q**2 = 0.
-1, 3
Let d = -4/11655 + 15544/11655. Solve -2/3 + 5/3*j + d*j**4 - 1/3*j**5 - 2/3*j**2 - 4/3*j**3 = 0 for j.
-1, 1, 2
Let r be (-10 - 0) + (-7 - -17). Solve 0*l**2 - 1/3*l**4 + r*l**3 + 1/3*l**5 + 0*l + 0 = 0.
0, 1
Let v(h) be the second derivative of h**4/12 - h**3 + 9*h**2/2 + 79*h. Factor v(t).
(t - 3)**2
Let c(j) be the first derivative of -3*j**6/2 - 93*j**5/5 - 82*j**4 - 156*j**3 - 144*j**2 - 64*j + 82. Suppose c(v) = 0. W