ate y.
-2, 0
Let y(g) be the second derivative of 1/21*g**7 + 0 + 0*g**2 + 0*g**3 + 3/10*g**5 + 9*g - 1/6*g**4 - 1/5*g**6. Factor y(m).
2*m**2*(m - 1)**3
Let f(i) = i**5 - 17*i**4 + i**3 - 9*i**2 - 6*i - 6. Let a(m) = 2*m**4 + m**3 + m**2 + m + 1. Let l(o) = 6*a(o) + f(o). Let l(y) = 0. What is y?
0, 1, 3
Find j, given that 44/3*j**2 - 1/3*j**3 + 294 - 175*j = 0.
2, 21
Suppose -608 - 2*s**4 + 3*s**4 - 25*s**3 + 5*s**4 + 614 - 62*s**2 - 25*s = 0. What is s?
-1, 1/6, 6
Let z(x) be the second derivative of x**7/28 - 3*x**5/20 + x**3/4 + 336*x. Solve z(q) = 0 for q.
-1, 0, 1
Let p(s) be the second derivative of s**6/105 - s**5/35 - 2*s**4/21 + 8*s**3/21 + 25*s - 1. Factor p(l).
2*l*(l - 2)**2*(l + 2)/7
Determine w so that 423 - 279 - 25*w**5 + 156*w**3 + 800*w - 561*w**4 + 116*w**4 + 1232*w**2 = 0.
-18, -1, -2/5, 2
Let y(i) be the first derivative of -2*i**5/5 + 2*i**4 - 2*i**3 - 189. Solve y(l) = 0.
0, 1, 3
Let l(f) be the second derivative of 0*f**2 + 0*f**3 - 1/90*f**4 - 3*f + 1/150*f**5 + 0. Factor l(u).
2*u**2*(u - 1)/15
Let h(b) be the second derivative of 35*b**3/6 + b**2/2 - 6*b. Let w be h(1). Solve -4*s**3 - w*s**2 - s**3 + 38*s**3 - 75*s**5 + 90*s**4 - 12*s = 0 for s.
-2/5, 0, 1
Let c(v) = -v**3 - 11*v**2 + 8*v. Let n(f) = 11*f**3 - 16*f**2 + 3*f**3 - 20*f**3 + 40*f - 40*f**2. Let q(r) = 16*c(r) - 3*n(r). Factor q(k).
2*k*(k - 2)**2
Let 2/11 + 2/11*g**2 + 4/11*g = 0. What is g?
-1
Factor 10*w**2 + 15*w**2 + 10*w**2 - 18 - 31*w**2 + 118 - 40*w.
4*(w - 5)**2
Suppose -4*u = -3*r + 7, 5*r - 21 = 3*u - u. Suppose 0*i - 6 = -u*i. Suppose -2*m**2 - 4*m**2 + 6*m**4 - 4*m**5 + 6*m**5 - 5*m**5 + i*m**3 = 0. What is m?
-1, 0, 1, 2
Let b(l) be the second derivative of 5*l**4/48 + 95*l**3/12 + 45*l**2 - 110*l. Solve b(v) = 0.
-36, -2
Suppose -166*t = -168*t. Suppose -4*c + t*c = -c. Solve -3/5 + c*b + 3/5*b**2 = 0.
-1, 1
Let i(d) be the first derivative of -d**3/6 - 55*d**2/2 - 3025*d/2 + 389. Factor i(z).
-(z + 55)**2/2
Suppose -3*x - 3*t = -0*t + 33, -2*t = -4*x - 50. Let a be (4 - x/(-3))/1. Suppose -2/3*g - 2/3*g**2 + a = 0. What is g?
-1, 0
Factor -3*f - 5*f - 44*f**3 - 949*f**2 + 1001*f**2.
-4*f*(f - 1)*(11*f - 2)
Let w be 7/(-21) + (64/(-3))/(-4). Suppose w*j - 8 = j. Find k such that -2/3*k**j + 2 + 4/3*k = 0.
-1, 3
Factor 3*u**5 + 5*u**2 - 95*u**3 - 18*u**2 + 50*u**3 - 18*u**4 - 11*u**2.
3*u**2*(u - 8)*(u + 1)**2
Let o be ((-134)/(-2010) - (-17)/(-30))*0. Let o*h - 2/15*h**3 + 0 + 4/15*h**2 = 0. Calculate h.
0, 2
Let h(n) be the second derivative of -1/63*n**7 - 27*n + 0 + 0*n**2 - 5/9*n**4 - 2/15*n**6 - 2/5*n**5 - 1/3*n**3. Determine z so that h(z) = 0.
-3, -1, 0
Let y be 3 - 0 - 1342/2772*6. Let k(x) be the second derivative of 1/147*x**7 - 1/35*x**6 + 0*x**5 + 0 + 0*x**3 + 0*x**2 + 5*x + y*x**4. Factor k(v).
2*v**2*(v - 2)**2*(v + 1)/7
Let w be -9*(0 + ((-4)/(-4))/(-3)). Let o(u) be the second derivative of 4/21*u**w + 4/7*u**2 - 3*u + 1/42*u**4 + 0. Factor o(z).
2*(z + 2)**2/7
Let y be ((-1)/4 - 66/120)*(-265)/371. Factor -4*f**3 - 8/7*f**4 + 0 - 16/7*f**2 + y*f**5 + 0*f.
4*f**2*(f - 4)*(f + 1)**2/7
Suppose -281 = -5*a - 76. Let l = 63 - a. Factor 80/3*h**3 + l*h**2 + 32/3*h**4 + 20/3*h + 2/3.
2*(h + 1)**2*(4*h + 1)**2/3
Suppose 6*u - 33 = -5*u. Let g(c) be the second derivative of 1/5*c**5 - 6*c + 0 + 5/12*c**4 + 1/6*c**u + 0*c**2. Factor g(t).
t*(t + 1)*(4*t + 1)
Let z(t) be the second derivative of 1/78*t**4 - 1/39*t**3 - 9*t + 1/130*t**5 - 1/195*t**6 + 0 + 0*t**2. Solve z(f) = 0 for f.
-1, 0, 1
Let l = 137 - 117. Factor 28*q**4 - 11*q**4 + 7*q**3 - 6*q**2 + 2*q**3 - l*q**4.
-3*q**2*(q - 2)*(q - 1)
Let r(c) be the third derivative of -c**8/1232 + c**7/462 + c**6/660 - c**5/110 + c**4/264 + c**3/66 - c**2 - 28. Let r(k) = 0. What is k?
-1, -1/3, 1
Let p(t) be the second derivative of 1/14*t**7 - 9/20*t**5 + 1/4*t**4 - 1/10*t**6 + 0 + 0*t**2 - 3*t + t**3. Factor p(x).
3*x*(x - 2)*(x - 1)*(x + 1)**2
Let i = 74 + -17. What is d in -14*d + 3*d**2 - 45*d**3 - 28*d**5 + i*d**4 + 7*d**5 + 20*d = 0?
-2/7, 0, 1
Let x be 10 + 0 + 2 + -2. Suppose -3*b + b = -x. Factor z + 2*z**5 + 2*z**4 - z**b - 2*z**2 - 2*z**5.
-z*(z - 1)**3*(z + 1)
Solve -49/2*j - 2401/4 - 1/4*j**2 = 0 for j.
-49
Let a be ((-70)/7)/(-2) - 2. Let g(q) be the second derivative of 1/12*q**a + 0 - 12*q - 1/8*q**4 - 1/40*q**5 + 3/4*q**2. Factor g(f).
-(f - 1)*(f + 1)*(f + 3)/2
Suppose 5*k - 25/2*k**2 - 1/2 = 0. Calculate k.
1/5
Let 21*s + 13*s**2 + 27*s**3 - 3*s**2 - 33*s**3 - 6*s + s**3 = 0. Calculate s.
-1, 0, 3
Determine b so that 3/5*b**4 + 9/5*b**2 + 0*b + 0 + 3*b**3 - 3/5*b**5 = 0.
-1, 0, 3
Factor 0*g**4 + 2*g**4 + 14*g**3 - 9*g**3 - 7*g**4.
-5*g**3*(g - 1)
Let p = -9 - 84. Let h = p - -466/5. Find j, given that 1/5*j + 1/5*j**2 - 1/5*j**3 - h = 0.
-1, 1
Let o(b) be the third derivative of b**7/42 + 5*b**6/12 + 8*b**5/3 + 95*b**4/12 + 25*b**3/2 - 442*b**2. Let o(a) = 0. What is a?
-5, -3, -1
Let f(o) be the second derivative of -o**6/75 - 13*o**5/50 - 11*o**4/15 - 2*o + 61. Find w, given that f(w) = 0.
-11, -2, 0
Let x be (-2 + 5)/3 + (1 - 2). Let j be (x - -4 - -2) + -2. Solve 19*t - 161/2*t**2 - 931/4*t**3 + 343/4*t**j + 6 = 0.
-2/7, 2/7, 3
Let h be (3 - -1) + (-40)/(-6 - -16). Let b(x) be the second derivative of 0*x**2 - 1/18*x**3 + 2*x - 1/120*x**5 - 1/24*x**4 + h. Factor b(l).
-l*(l + 1)*(l + 2)/6
Let z(f) be the second derivative of f**7/105 - f**6/60 - f**5/6 - f**4/4 + 2*f**2 - 4*f. Let u(d) be the first derivative of z(d). Suppose u(r) = 0. What is r?
-1, 0, 3
Suppose 2*c = -94 + 102. Let o(t) be the third derivative of 0 + 1/70*t**7 - 6*t**2 + 0*t**3 + 0*t + 3/20*t**5 + 1/8*t**c + 3/40*t**6. Factor o(s).
3*s*(s + 1)**3
What is n in -12 - 3/4*n**4 + 3/4*n**3 + 3*n + 9*n**2 = 0?
-2, 1, 4
Let f(g) be the first derivative of -g**2 + 2/15*g**3 - 12/5*g - 21. Factor f(t).
2*(t - 6)*(t + 1)/5
Suppose -2*v = 2*n - 14, 5*v - 4*n + 2*n = 0. Let -v*c**2 + 0*c**2 - 9*c + 3*c - 4 = 0. What is c?
-2, -1
Solve 5/2*p**3 + 0 + 0*p**2 - 5/2*p = 0.
-1, 0, 1
Factor 217*k - 17*k - 118 - 77 - 5*k**2.
-5*(k - 39)*(k - 1)
Let q = -177 - -532/3. Factor 0*p**4 + 0 - 2/3*p**3 + 1/3*p + q*p**5 + 0*p**2.
p*(p - 1)**2*(p + 1)**2/3
Let x be (-4)/(-3)*(-165)/(-22). Factor 7*d**2 - 5*d**3 - x*d**2 + 12*d**2 + 11*d**2.
-5*d**2*(d - 4)
Let q(s) be the second derivative of 1/40*s**5 - 4*s + 1/4*s**4 - 3/2*s**3 - 1/120*s**6 + 0*s**2 + 0. Let h(l) be the second derivative of q(l). Factor h(u).
-3*(u - 2)*(u + 1)
Suppose 0 = 5*r - 10, 0 = o + 3*r - 6 - 0. Let h(s) be the first derivative of 1/21*s**6 + o*s - 1/7*s**4 + 0*s**3 + 1/7*s**2 + 0*s**5 - 7. Factor h(d).
2*d*(d - 1)**2*(d + 1)**2/7
Let s be (144 + -140)/(-3 + 0 - -6). Factor -s*r - 4/3 - 1/3*r**2.
-(r + 2)**2/3
Suppose -3*n = -1 - 8. Solve 29*z**4 - 2*z - 7*z**5 - 34*z**3 - 2 + 0 - 3*z**4 + n*z + 16*z**2 = 0 for z.
-2/7, 1
Let z(c) be the third derivative of c**5/90 - 19*c**4/36 - 14*c**3/3 + 125*c**2. Factor z(k).
2*(k - 21)*(k + 2)/3
Let s(t) = -11*t**4 - 34*t**3 - 32*t**2 - 6*t. Let i(r) = 10*r**4 + 34*r**3 + 32*r**2 + 6*r. Let o(l) = -6*i(l) - 4*s(l). Factor o(d).
-4*d*(d + 1)*(d + 3)*(4*d + 1)
Let k(g) = g**3 + 2*g**2 - 4*g - 6. Let y be k(-2). Suppose 6*c**3 + 2*c**3 + y*c**3 - 7*c**3 = 0. Calculate c.
0
Let w(c) = 2*c + 7. Let k be w(6). Let y = 22 - k. Suppose -1/4*o**y + 0 + 0*o + 1/4*o**4 + 0*o**2 = 0. Calculate o.
0, 1
Let j(o) be the second derivative of 1/10*o**5 + 25*o**3 - 9*o - 125*o**2 + 0 - 5/2*o**4. Factor j(s).
2*(s - 5)**3
Let x(q) be the second derivative of -4/75*q**6 + 0*q**5 - 6/5*q**2 + 1/105*q**7 - 1/15*q**3 + 1/3*q**4 + 2*q + 0. Suppose x(h) = 0. What is h?
-1, 1, 2, 3
Factor 16/7*l**2 - 2/7*l**3 + 12/7 - 26/7*l.
-2*(l - 6)*(l - 1)**2/7
Let x(w) be the third derivative of 0 - 1/80*w**6 - 30*w**2 + 1/3*w**3 + 0*w + 5/48*w**4 - 1/60*w**5. Let x(a) = 0. Calculate a.
-1, 4/3
Suppose 0 - 43 = -3*m - 2*r, -r = -5. Let p = m - 7. Determine x, given that -2*x**3 + 4*x**2 + 5 - 5 - 2*x**p = 0.
-2, 0, 1
Suppose h + 4*h = 60. Factor h*l + 27*l**5 - 25*l**5 - 16*l**2 + 2*l**2 + 6*l**4 - 6*l**3.
2*l*(l - 1)**2*(l + 2)*(l + 3)
Let x(z) be the third derivative of z**8/10080 - z**6/90 - 31*z**5/60 + 31*z**2. Let c(k) be the third derivative of x(k). Factor c(d).
2*(d - 2)*(d + 2)
Let y be 65/6 + (-2)/(-12). Let j be 2/y - (-17