 - 2.
5*a**3*(a - 1)
Let h(q) = -q**2 + 55*q - 54. Let n(i) = -3*i**2 + 192*i - 189. Let g(s) = -18*h(s) + 5*n(s). Suppose g(v) = 0. Calculate v.
1, 9
Let i be (-320)/(-50) + 4/(-10). Suppose -i*f + 9 = -9. Let -3*b**f - 4*b**4 + 2*b - 6*b - 12*b**2 - 9*b**3 = 0. What is b?
-1, 0
Let j(w) = 2*w**2 - 8*w - 22. Let m = -13 - -11. Let q(t) = 2. Let i(c) = m*j(c) - 28*q(c). Let i(k) = 0. What is k?
1, 3
Let x(i) be the second derivative of -2*i**6/15 + 21*i**5/5 - 13*i**4 + 38*i**3/3 - 639*i. Determine s so that x(s) = 0.
0, 1, 19
Let c(d) = -5*d**4 + 14*d**3 - d**2 - 5*d - 3. Let j(v) = 4*v**4 - 14*v**3 + 6*v + 4. Let a(u) = -4*c(u) - 3*j(u). Find y, given that a(y) = 0.
-1/4, 0, 1
Let x(g) = 9*g**3 - 8*g**2 - 5*g. Let i be (-5 + 1)*1/(-2). Let y(v) = 66*v + 8*v**i - v**3 - 62*v - 9*v**3. Let n(r) = -4*x(r) - 3*y(r). Factor n(a).
-2*a*(a - 2)*(3*a + 2)
Let q be 0*(117/18 - 7). Let d(i) be the second derivative of q - 1/6*i**4 + i**3 - 4*i + 0*i**2. Factor d(l).
-2*l*(l - 3)
Suppose -2*n - 3*g - 3 = 0, 3*g + 23 - 17 = -n. Let b(m) be the first derivative of n*m + 3/4*m**4 + 3*m**3 + 4 + 9/2*m**2. Factor b(y).
3*(y + 1)**3
Let p(b) be the third derivative of -b**5/60 - 3*b**4/8 + 56*b**3/3 - b**2 - 559. Determine w, given that p(w) = 0.
-16, 7
Solve -72*w + 13*w**3 + 8*w**2 - 24 + 52*w - 9*w**3 = 0 for w.
-3, -1, 2
Let n = -1 + -4. Let s = -2 - n. Factor -10*z**4 - 38*z**3 + 18*z**3 - s*z**5 - 20*z**2 - 10*z - 2 + z**5.
-2*(z + 1)**5
Let z(a) be the third derivative of -a**6/24 + 2*a**5 - 35*a**4/2 + 200*a**3/3 - 329*a**2. Factor z(s).
-5*(s - 20)*(s - 2)**2
Let a = 8599/6 + -1433. Factor -1/6*u**3 + 1/6*u + 1/2*u**2 - 1/3 - a*u**4.
-(u - 1)**2*(u + 1)*(u + 2)/6
Let l be (-12)/(-16) + (-4)/(32/6). Let a(w) be the third derivative of l*w - 1/30*w**5 - 4*w**2 + 0 + 1/6*w**4 + 0*w**3. Find f such that a(f) = 0.
0, 2
Let w(f) = -5*f**2 - 3*f + 10. Let j(b) = b**2 + b. Let c(q) = 20*q**2 + 14*q - 29. Let g(k) = -c(k) + 6*j(k). Let m(p) = -4*g(p) + 11*w(p). Factor m(r).
(r - 3)*(r + 2)
Let t = 38 + -58. Let b = t - -22. Factor -8/3*p + 8/3 - b*p**2.
-2*(p + 2)*(3*p - 2)/3
Let j be 1 - (3 - 1) - (-6923)/6900. Let y(u) be the third derivative of 1/30*u**3 - 1/60*u**4 + 0*u + j*u**5 + 6*u**2 + 0. Factor y(g).
(g - 1)**2/5
Let i(f) be the first derivative of f**6/330 + f**5/110 - f**4/11 - 3*f**3/11 + 27*f**2/22 - 30*f - 4. Let k(v) be the first derivative of i(v). Factor k(m).
(m - 3)*(m - 1)*(m + 3)**2/11
Suppose 2*l = -0*r - r + 73, -2*r + 143 = 5*l. Let f = r - 79. What is m in 0 + 0*m**4 + f*m + 2/9*m**5 + 0*m**2 - 2/9*m**3 = 0?
-1, 0, 1
Suppose 3/2*q - 3/4*q**3 - 18 + 15/4*q**2 = 0. What is q?
-2, 3, 4
Let u(q) = -q - 6. Let b be u(-11). Let h be (-14)/40 - (-3)/b. Factor -h*r**3 + 7/4*r**2 - 15/4*r + 9/4.
-(r - 3)**2*(r - 1)/4
Let y = -1258 + 1258. Factor 0*m - m**3 - 1/2*m**4 - 1/2*m**2 + y.
-m**2*(m + 1)**2/2
Let y(p) be the third derivative of -p**6/24 + 3*p**5/4 - 5*p**4 + 40*p**3/3 - p**2 + 31*p. Find a such that y(a) = 0.
1, 4
Let c be 2 + -1 - (30 - 31). Suppose -y = -5, -2*f + 7*f = 2*y + 15. Factor f*k**3 + 2*k**4 - 4*k - c*k**3 + k**3 - 2.
2*(k - 1)*(k + 1)**3
Solve -3/2*f**5 + 0 - 17/2*f**3 + 0*f + 3*f**2 + 7*f**4 = 0.
0, 2/3, 1, 3
Let 0 - 3*j**3 + 1/2*j**5 - 5/2*j**4 + 0*j + 0*j**2 = 0. Calculate j.
-1, 0, 6
Suppose 10 = -4*h - h. Let w(v) = -3*v**3 + 2*v**2 - v. Let y(g) = 4*g**3 - 2*g**2 + g. Let p(l) = h*y(l) - 3*w(l). Let p(q) = 0. What is q?
0, 1
Let b(t) be the second derivative of -t**4/15 - 4*t**3/5 - 16*t**2/5 - 2*t + 50. Let b(w) = 0. Calculate w.
-4, -2
Let w be (-1 + (-117)/(-105))/(4*(-6)/(-336)). Factor -w - 2*k**2 + 16/5*k + 2/5*k**3.
2*(k - 2)**2*(k - 1)/5
Let w(c) be the second derivative of -c**5/180 + 5*c**4/36 - 25*c**3/18 + 3*c**2 - 14*c. Let r(f) be the first derivative of w(f). Let r(i) = 0. What is i?
5
Let k(c) be the third derivative of -c**5/20 + 5*c**4/4 - 8*c**3 - 243*c**2. Factor k(h).
-3*(h - 8)*(h - 2)
Let p(k) be the third derivative of -k**7/945 - k**6/270 - k**5/270 - 91*k**2. Find s, given that p(s) = 0.
-1, 0
Let b = 25 - 14. Suppose 0 = y - 0 - b. Factor -11 + 0*d**2 + y - 3*d**2.
-3*d**2
Factor 136*n - 75*n - 66*n - 10*n**2.
-5*n*(2*n + 1)
Let s be (-884)/(-28) - 21/(-49). Determine f so that -53 - 32 + f**2 - 43 - s*f - 3*f**2 = 0.
-8
Let o(k) = -8*k**2 - 68*k + 52. Let f(y) = 3*y**2 + y + 2. Let g(b) = -4*f(b) - o(b). Factor g(v).
-4*(v - 15)*(v - 1)
Let r(f) = 7*f**3 - 12*f**2 + 54*f - 58. Let x(v) = -20*v**3 + 36*v**2 - 161*v + 175. Let k = -90 - -107. Let o(d) = k*r(d) + 6*x(d). Solve o(g) = 0 for g.
4
Let v be 41/2 + 8/16. What is f in -6 + 1098*f**3 + 0 - v*f - 1113*f**3 - 3*f**4 - 27*f**2 = 0?
-2, -1
Let c(i) be the third derivative of -i**7/1260 + i**6/48 + 23*i**5/90 + 13*i**4/12 + 20*i**3/9 - i**2 - 38*i. Factor c(j).
-(j - 20)*(j + 1)*(j + 2)**2/6
Let n be (16/2)/2*4/48. Factor 13/6*g**2 - 11/6*g - 2/3*g**3 + n.
-(g - 2)*(g - 1)*(4*g - 1)/6
Let 12/11*h + 0 - 1/11*h**3 - 1/11*h**2 = 0. Calculate h.
-4, 0, 3
Let d(t) be the second derivative of 1/24*t**4 + 31*t + 5/2*t**3 + 225/4*t**2 + 0. Let d(s) = 0. Calculate s.
-15
Let b(x) be the third derivative of 1/20*x**5 + 0*x + 30*x**2 + x**3 + 0 + 3/8*x**4. Let b(r) = 0. Calculate r.
-2, -1
Let n = 3 + 6. Suppose -4*b + n = -b. Factor 1 - 3*o**b + 9*o**2 - 3 - 15*o + 6*o + 5.
-3*(o - 1)**3
Let g be 4/(-3)*30/(-32). Let b(k) be the second derivative of 6*k**2 + g*k**4 + k + 0 - 3/20*k**5 - 4*k**3. Find w such that b(w) = 0.
1, 2
Let d(o) = o**2 - o + 1. Let i(a) = 15*a**5 + 36*a**4 - 3*a**3 - 34*a**2 - 14*a + 2. Let p(g) = -2*d(g) + i(g). Suppose p(m) = 0. Calculate m.
-2, -1, -2/5, 0, 1
Let o be ((-1)/(-2))/(-4 + 1110/276). Let t(c) = -c**2 + 20*c + 71. Let r be t(o). Suppose 4/3*g - 2*g**r - 1/3*g**4 + 4/3*g**3 - 1/3 = 0. Calculate g.
1
Let g(p) = -p**2 - 12*p + 3. Let w be g(-12). Factor -16*m**3 + 5*m**w + m**3 + 5*m**3.
-5*m**3
Suppose 0 = 4*r - 3*u + 59, 1 = -2*u + 3*u. Let x be (-6 - -6 - -2) + 16/r. Factor 2/7 + 2*f**2 - 10/7*f - x*f**3.
-2*(f - 1)**2*(3*f - 1)/7
Let v(g) be the second derivative of -g**6/30 - 19*g**5/20 + 28*g**4/3 - 94*g**3/3 + 48*g**2 + 588*g. Suppose v(k) = 0. Calculate k.
-24, 1, 2
Let l = -24771/5 + 4955. Suppose 0*f**2 - 2/5*f**4 + l*f**3 - 4/5*f + 2/5 = 0. Calculate f.
-1, 1
Let b = -61/6 - -32/3. Let k(d) be the second derivative of 1/4*d**4 + 5*d + 0 + 0*d**2 + b*d**3. Suppose k(v) = 0. What is v?
-1, 0
Let q be (4/27)/(97/2619). Factor -2/3*m**2 + 10/3*m - q.
-2*(m - 3)*(m - 2)/3
Let c = 98/3 + -674/21. Determine a so that -12/7*a**3 + 0 + 12/7*a**2 + 4/7*a**4 - c*a = 0.
0, 1
Let r = -825 + 4126/5. Let n(v) be the second derivative of r*v**2 + 0 + 1/30*v**4 + 2*v - 2/15*v**3. Factor n(y).
2*(y - 1)**2/5
Let j = -8 - -16. Determine z so that -22 + 4*z**2 - j*z + 0*z**2 + 26 = 0.
1
Let z(d) be the second derivative of -5/4*d**5 + 10*d**2 - 40/3*d**3 + 0 + 85/12*d**4 - 11*d. Factor z(g).
-5*(g - 2)*(g - 1)*(5*g - 2)
Factor -3*m**3 - 47*m + 20870 - 20924 - 30*m**2 - 34*m.
-3*(m + 1)*(m + 3)*(m + 6)
Suppose 21 + 0 = 7*n. Factor 0*v**3 + 3*v**2 + 8 - 20 + 0*v**n + 12*v - 3*v**3.
-3*(v - 2)*(v - 1)*(v + 2)
Let x be -1 + -11 + (-11946)/(-905). Suppose 9/5*n + 3/5*n**2 + x = 0. Calculate n.
-2, -1
Let v = 64 - 48. Let o be v/6 - (-26)/(-39). Factor 10/13*a + 8/13*a**o + 2/13.
2*(a + 1)*(4*a + 1)/13
Find n such that -2/3 - 2/3*n**2 - 5/3*n = 0.
-2, -1/2
Let n = -2397 - -2399. Suppose n*x**3 + 4/3*x - 2/3*x**4 - 2/3*x**5 + 0 + 10/3*x**2 = 0. What is x?
-1, 0, 2
Determine w, given that 19/2*w**2 - 16*w - w**3 - 21/2 = 0.
-1/2, 3, 7
Let v(z) be the third derivative of -24*z**2 + 0*z - 1/120*z**6 + 0*z**4 - 1/350*z**7 - 1/150*z**5 + 0*z**3 + 0. Factor v(b).
-b**2*(b + 1)*(3*b + 2)/5
Let k(q) be the third derivative of -q**8/6720 + q**6/180 - 5*q**4/6 - 9*q**2. Let w(s) be the second derivative of k(s). Factor w(g).
-g*(g - 2)*(g + 2)
Let g(o) be the first derivative of -3*o**4/28 - 6*o**3/7 + 150. Find w, given that g(w) = 0.
-6, 0
Let a = -32/3 + 643/60. Let c(v) be the third derivative of -1/2*v**3 + a*v**5 + 0*v**4 + 0*v + 0 - 6*v**2. What is l in c(l) = 0?
-1, 1
Let f be (1764/231 + -7)/((-3)/(-6)). Solve 0*a - 8/11*a**5 + 0 + 2/11*a**2 - f*a**4 - 4/11*a**3 = 0.
-1, 0, 1/4
Let x(q) be the first derivative of 34 + 3*