 = l*w(f) + 4*u(f). Suppose v(k) = 0. What is k?
0, 12
Let c(z) be the third derivative of -4*z**2 + 7/156*z**4 + 4/195*z**5 - 2/13*z**3 + 0*z + 0 - 1/60*z**6 + 4/1365*z**7. Suppose c(g) = 0. What is g?
-3/4, 1, 2
Let a be 651/(-62)*(2 + 16/(-6)). Let d(j) be the third derivative of 0*j + 0*j**3 + 2/15*j**5 - 1/60*j**6 + 0*j**4 - a*j**2 + 0. Factor d(c).
-2*c**2*(c - 4)
Let y(w) be the first derivative of 0*w**2 - 2/3*w**3 - 2/3*w**4 + 7 + w. Let o(n) be the first derivative of y(n). Factor o(l).
-4*l*(2*l + 1)
Suppose 5*s - 85 = 5*h, 2*s - 4*h - 11 - 27 = 0. Suppose -5*v = -25, -v - s = -7*b + 2*b. Factor 3/7*f - 9/7*f**2 + 9/7*f**3 + 0 - 3/7*f**b.
-3*f*(f - 1)**3/7
Factor -13/7*j + 4/7 + 2*j**2 - 5/7*j**3.
-(j - 1)**2*(5*j - 4)/7
Let b = 1/1509 + 18101/10563. Factor 36/7*s**2 - b*s**3 + 0 - 27/7*s.
-3*s*(2*s - 3)**2/7
Suppose -13 + 5 = -4*r. Let u be 17/(-34) + 4/r. Factor -3/4*i - 3/4*i**2 + u.
-3*(i - 1)*(i + 2)/4
Factor -791 - 964*k**3 + 1344*k - 210*k**2 + 879*k**3 - 44*k - 209 - 5*k**4.
-5*(k - 2)*(k - 1)*(k + 10)**2
Let v = -51/23 - -227/92. Determine z, given that 0*z**2 + 1/4*z**3 + 0 - v*z = 0.
-1, 0, 1
Let r = 3 + -2. Let q(i) = i**2. Let d be 0*1*1/1 - 2. Let o(z) = -2*z. Let g(m) = d*q(m) + r*o(m). Factor g(x).
-2*x*(x + 1)
Let v(y) = 5*y**2 - 19*y + 4. Let i(j) = -5*j**2 + 18*j - 3. Let a = -17 - -21. Let d(x) = a*i(x) + 3*v(x). Factor d(t).
-5*t*(t - 3)
Let s = -293 - -298. Let x(y) be the first derivative of 4 + 17/4*y**4 + 2*y**2 + 16/3*y**3 + y**s + 0*y. Determine c, given that x(c) = 0.
-2, -1, -2/5, 0
Suppose 10*q - 13*q = 2*n - 18, -5*q - 4*n + 34 = 0. Let b = -45 - -227/5. Solve 0 - 18/5*a - b*a**3 + 12/5*a**q = 0.
0, 3
Let u be 12*((-14)/(-28) - (-4)/(-24)). Determine y, given that -3*y**u + 3/7*y**5 + 0 + 48/7*y**3 + 0*y - 36/7*y**2 = 0.
0, 2, 3
Let z(h) = 192*h - 63*h**2 - 37*h - 24 - 12. Let y(s) = 21*s**2 - 51*s - s - 13 + 25. Let m(o) = -11*y(o) - 4*z(o). Factor m(t).
3*(t - 2)*(7*t - 2)
Let c(g) be the first derivative of g**5/15 + g**4/4 - g**3/3 - 11*g**2/6 - 2*g - 147. Factor c(q).
(q - 2)*(q + 1)**2*(q + 3)/3
Suppose 0 = 3*g - 5 - 1. Let h = 8896/11 + -808. Factor 0*l**g + 0*l + 0 + 2/11*l**5 + 8/11*l**3 + h*l**4.
2*l**3*(l + 2)**2/11
Let m(u) be the third derivative of -u**6/30 + 8*u**5/15 - 11*u**4/6 - 40*u**3/3 - 79*u**2. Factor m(g).
-4*(g - 5)*(g - 4)*(g + 1)
Let o(n) be the first derivative of -n**7/630 - n**6/360 + n**5/180 + n**4/72 - 8*n**2 - 23. Let d(w) be the second derivative of o(w). Factor d(q).
-q*(q - 1)*(q + 1)**2/3
Let p be (16/(-84))/(-3 + (-60)/(-28)). Let f(d) be the first derivative of -p*d**3 + 0*d**2 + 1/12*d**4 + 2 + 0*d. Determine m, given that f(m) = 0.
0, 2
Determine n so that 46*n - 2116 - 1/4*n**2 = 0.
92
Let 28 - 24/5*q + 1/5*q**2 = 0. What is q?
10, 14
Suppose 5*u - 2*h - 33 = 0, -5*h - 20 = -0. Suppose 2*b = -u*l + 12, 2*l + 0 = -5*b + 9. Solve 48/11*q - 30/11*q**3 + 8/11 + 74/11*q**l - 100/11*q**4 = 0 for q.
-1/2, -2/5, 1
Let m(x) = -10*x**2 + 16*x + 7. Suppose -4*i - j = -10, 9 = 4*j + 1. Let v(a) = 3*a**2 - 5*a - 2. Let l(c) = i*m(c) + 7*v(c). Suppose l(w) = 0. Calculate w.
0, 3
Let n(v) be the first derivative of -v**7/1050 + v**6/75 - 16*v**4/15 + 34*v**3/3 + 16. Let j(b) be the third derivative of n(b). What is c in j(c) = 0?
-2, 4
Let l(n) be the third derivative of 27*n**7/385 + 3*n**6/11 + 37*n**5/330 + n**4/66 + 5*n**2. Determine d, given that l(d) = 0.
-2, -1/9, 0
Let h be ((-49)/56)/(-7) - 30/(-16). Let 7*o**h - 52*o**2 + 192 + 11*o + 3*o**3 + 126*o + 7*o = 0. Calculate o.
-1, 8
Let m = -1591 + 1594. Let y(l) = -l**3 + 3*l**2 - l + 3. Let g be y(3). Factor g + 2*d**2 + 0*d**m - 4/3*d - 2/3*d**4.
-2*d*(d - 1)**2*(d + 2)/3
Let r(n) be the third derivative of n**6/96 - 11*n**5/240 + 7*n**4/96 - n**3/24 + 2*n**2 + 59. Determine u, given that r(u) = 0.
1/5, 1
Factor 8*a - 2*a**2 + 3*a**2 + 5*a**2 - 5*a**2.
a*(a + 8)
Let -c**2 - 2/3 - 1/6*c**3 - 3/2*c = 0. Calculate c.
-4, -1
Determine h, given that 8/3*h - 32/9*h**2 - 4/9*h**4 - 8/3*h**3 + 4 = 0.
-3, -1, 1
Let o(j) = -j**2 + 10*j - 6. Let c be o(9). Solve -v**3 + 11*v + 4*v**c - 4*v**2 - 5*v - 5*v**2 = 0.
0, 1, 2
Suppose -234 = 6*s - 252. Let i(l) be the first derivative of -1/10*l**4 + 0*l + 1/5*l**2 + 0*l**s - 4. Factor i(h).
-2*h*(h - 1)*(h + 1)/5
Let k be 96/42 - (-4)/(-14). Let w(x) = x**2 + x - 4. Let j be w(k). Find q such that -7*q + 51*q**j + 12*q**3 + 12 + 27*q + 40*q = 0.
-2, -1/4
Let s(a) be the third derivative of a**7/420 + a**6/120 - a**4/24 - a**3/12 + 4*a**2 - 33*a. Let s(m) = 0. What is m?
-1, 1
Let y(j) be the second derivative of -5*j**7/42 - 29*j**6/6 - 23*j**5/2 + 1875*j**4/2 - 14535*j**3/2 + 48735*j**2/2 - 12*j - 13. Factor y(a).
-5*(a - 3)**3*(a + 19)**2
Suppose -4*f = -3*h + 2, -17 + 7 = -5*h. Let y be ((2 - 5)/18)/(f/(-2)). Find l such that -2/3*l**3 + 2/3 + y*l**2 + 5/3*l = 0.
-1, -1/2, 2
Factor -30/11*j**3 + 0 + 78/11*j**2 - 6/11*j**4 - 42/11*j.
-6*j*(j - 1)**2*(j + 7)/11
Let x(g) = -16*g**3 - 38*g - 6 - 46*g**2 + 7 - 3 - 4. Let l(w) = -33*w**3 - 92*w**2 - 75*w - 11. Let k(t) = 2*l(t) - 5*x(t). What is a in k(a) = 0?
-2, -1, -2/7
Let q be (4 - -5)/3 + -3. Let d be 65/25 - (q - -2). Suppose -d*u**3 - 3/5*u**2 + 0*u + 0 = 0. Calculate u.
-1, 0
Let n(c) = -9*c**4 - 12*c**3 - 9*c**2. Let g(t) = t**4 - t**2 - t. Let s(k) = -6*g(k) - n(k). Factor s(a).
3*a*(a + 1)**2*(a + 2)
Suppose 5*y = -3*k + 14, 0 = -5*k + 3*k + y + 5. Factor -6*o**3 - 28*o + 23*o**3 + 20*o**2 - 10*o**k + 12 - 11*o**3.
-4*(o - 3)*(o - 1)**2
Let j be 4*1/4 + 1. Factor -4*v**j + v**2 + 2 - 4*v + v + 4*v**2.
(v - 2)*(v - 1)
Let v(b) = 2*b**2 + 46*b + 40. Let z(m) = -3*m**2 - 69*m - 60. Let g(u) = -8*v(u) - 5*z(u). Let s be g(-22). Factor -1 - 1/4*l**s - l.
-(l + 2)**2/4
Let s be (-84)/(-210) - (1099/210 - 5). Let g(i) = -3*i. Let o be g(-1). Factor 1/2*a**2 + 1/6*a**o - 1/6*a - s*a**4 - 1/3.
-(a - 2)*(a - 1)*(a + 1)**2/6
Let m(u) be the first derivative of -5*u**3/3 - 40*u**2 - 75*u + 578. Factor m(i).
-5*(i + 1)*(i + 15)
Suppose -8*q + 7*q + 37*q + 15*q**4 - 9*q**3 - 69*q**2 - 9*q**4 = 0. Calculate q.
-3, 0, 1/2, 4
Let y(p) = -23*p + 11. Let r be y(-2). Let i = -54 + r. Find b such that 2/3 + 2/3*b**i + 2*b**2 + 2*b = 0.
-1
Suppose 2*s - 5*o = -2 - 18, 4*o = 3*s + 16. Let d(p) be the second derivative of s*p**2 - 2/9*p**3 + 0 - p + 1/6*p**4 - 1/30*p**5. Factor d(f).
-2*f*(f - 2)*(f - 1)/3
Suppose 0*d = 2*d. Suppose d = 9*i - 5*i. Suppose i + 1 + 3 - 19*a + 2*a**2 + 13*a = 0. What is a?
1, 2
Let t(u) be the second derivative of 0*u**2 - 1/22*u**4 - 1/165*u**6 + 1/231*u**7 + 0*u**3 - 4*u + 0 - 1/22*u**5. Find k, given that t(k) = 0.
-1, 0, 3
Let j be (-15)/6*72/(-30). Suppose f + j = -b + 4, -2*b - 12 = -2*f. Factor 0*h**3 - 1/3*h**5 + 1/3*h - 2/3*h**f + 0 + 2/3*h**4.
-h*(h - 1)**3*(h + 1)/3
Let f be 2/(-7) - 194/7. Let w be 4/f + 310/14. Find c such that -4*c - w*c**4 - 42*c**3 - 22*c**2 - 23*c**4 - 10*c**5 + 11*c**4 = 0.
-1, -2/5, 0
Solve 3/4*i**3 + 3/4*i**4 + 0 - 3/4*i - 3/4*i**2 = 0.
-1, 0, 1
Let x be (-108)/30*62/(-837). Factor -x*r - 2/5 + 2/3*r**2.
2*(r - 1)*(5*r + 3)/15
Factor 0 - 4/5*g - 2/5*g**2.
-2*g*(g + 2)/5
Let v be 64/30 - 234/1755. Factor 1/7*r**v - 8/7*r + 16/7.
(r - 4)**2/7
Factor 60*l - 87/2*l**2 + 6*l**3 + 72.
3*(l - 4)**2*(4*l + 3)/2
Let s(f) be the first derivative of -f**6/4 + 3*f**5/5 + 33*f**4/8 - 2*f**3 - 21*f**2 - 24*f + 453. Suppose s(d) = 0. Calculate d.
-2, -1, 2, 4
Let n(r) be the first derivative of r**6/10 - 9*r**5/20 + 2*r**3 + 29*r - 40. Let g(l) be the first derivative of n(l). Factor g(d).
3*d*(d - 2)**2*(d + 1)
Let p = 645/2 - 29017/90. Let c(k) be the first derivative of 0*k**2 + 0*k + 5/36*k**4 + 11 + p*k**5 + 1/54*k**6 + 2/27*k**3. Determine t, given that c(t) = 0.
-2, -1, 0
Let y be (4/(-30))/(2/3)*0. Factor 8/5*s**3 + y*s + 0 + 2/5*s**2.
2*s**2*(4*s + 1)/5
Suppose 85*j = 98*j - 65. Let u(t) be the second derivative of -1/8*t**4 + 0*t**2 + 1/40*t**6 + 5*t + 0 - 3/80*t**j + 0*t**3. Factor u(z).
3*z**2*(z - 2)*(z + 1)/4
Let b(k) be the first derivative of -14*k**5/5 - 13*k**4/2 - 10*k**3/3 + k**2 + 306. Solve b(f) = 0 for f.
-1, 0, 1/7
Let i be ((-8)/(-26))/(1210/3575). Suppose -26/11*z**4 + 8/11*z**3 + 8/11*z**2 + 0 + i*z**5 + 0*z = 0. Calculate z.
-2/5, 0, 1, 2
Factor 3/5*i**3 + 3*i**2