*(w + 1)**2
Factor 0*s + 0 - 9*s**2 + 3/2*s**4 - 15/2*s**3.
3*s**2*(s - 6)*(s + 1)/2
Let k(b) be the third derivative of b**7/315 + b**6/90 - 2*b**5/45 - b**4/18 + b**3/3 + 11*b**2 - 2. Factor k(r).
2*(r - 1)**2*(r + 1)*(r + 3)/3
Let t(l) be the first derivative of 4*l**3/21 + 4*l**2/7 - 96*l/7 - 305. Determine v, given that t(v) = 0.
-6, 4
Let a(g) = 5*g + 6. Let p be a(-3). Let n be (-106)/p + 26/117. Find b, given that -n*b**3 - 15*b**5 + 12*b**2 - 106*b - 39*b**4 + 106*b = 0.
-2, -1, 0, 2/5
Let q be (8/(-14))/(18/(-189)). Suppose -9*a + q*a + 6 = 0. Determine w, given that -2/9 + 2/3*w - 2/3*w**a + 2/9*w**3 = 0.
1
Let i be (-1)/(-3) + (7 + -2)/(-15). Let r(h) be the first derivative of i*h**3 + 1/9*h**2 + 4/45*h**5 - 3 - 1/6*h**4 + 0*h. Factor r(k).
2*k*(k - 1)**2*(2*k + 1)/9
Let u(s) be the first derivative of -2*s**3/3 + 4*s**2 + 10*s + 114. Find z such that u(z) = 0.
-1, 5
Let i = -152 + 4105/27. Let v = 11/54 - i. Determine b, given that -v*b**2 - 2/3*b - 2/3 = 0.
-2
Factor 2/23*o**3 + 12/23*o**2 + 10/23*o + 0.
2*o*(o + 1)*(o + 5)/23
Suppose -155/2*d - 5/2*d**3 + 75/2 + 85/2*d**2 = 0. Calculate d.
1, 15
Let j = -2070 - -2074. Factor -j - 14/3*q + 0*q**2 + 2/3*q**3.
2*(q - 3)*(q + 1)*(q + 2)/3
Let k(v) = -v**2 + 4*v - 1. Let h be (-2 - 28/(-20))*-5. Let i be k(h). What is c in -c**2 + 12*c + 2*c**2 + i*c**2 + 11 + 1 = 0?
-2
Let g(u) be the first derivative of 1/9*u**2 + 2/27*u**3 - 4/9*u + 14. Solve g(z) = 0.
-2, 1
Let q(b) be the second derivative of 3*b**5/20 + 33*b**4/4 + 144*b**3 + 384*b**2 + 270*b. Factor q(y).
3*(y + 1)*(y + 16)**2
Factor 967 + t**3 - 967 - 4*t**2 + 3*t.
t*(t - 3)*(t - 1)
Factor u**2 + 4625 + 6295 - 313*u + 3980 - 9*u + 11021.
(u - 161)**2
Suppose -37*u = 2*g - 40*u + 6, 4*g + 5*u - 10 = 0. Let r(x) be the third derivative of g + x**2 - 2/3*x**3 + 1/6*x**4 + 0*x - 1/60*x**5. Factor r(f).
-(f - 2)**2
Let -3/5*o**4 - 9*o**2 + 0 + 15*o - 27/5*o**3 = 0. What is o?
-5, 0, 1
Let q(f) be the second derivative of 16*f + 0*f**4 - 1/60*f**5 + 1/36*f**3 + 1/252*f**7 + 0*f**6 + 0*f**2 + 0. Solve q(z) = 0 for z.
-1, 0, 1
Let o be -2*((-3 + 4)/(4/(-16)))/2. Factor -1/4*x**5 + 1/2*x**3 + 0*x**2 - 1/4*x + 0 + 0*x**o.
-x*(x - 1)**2*(x + 1)**2/4
Factor 608*i**2 + 2888/5*i + 2/5*i**4 + 154/5*i**3 + 0.
2*i*(i + 1)*(i + 38)**2/5
Let q(x) be the second derivative of 0*x**2 + 0*x**4 - 1/30*x**6 - 3/40*x**5 + 9*x + 0 + 1/12*x**3. Factor q(d).
-d*(d + 1)**2*(2*d - 1)/2
Let h(l) be the third derivative of 0 + 1/2*l**3 + 1/16*l**4 - 1/20*l**5 + 0*l - 1/80*l**6 + l**2. Factor h(a).
-3*(a - 1)*(a + 1)*(a + 2)/2
Let k be 8*14/56 - 18/10. Let n(m) be the second derivative of 4*m + k*m**3 + 0 - 3/50*m**5 - 3/10*m**2 + 1/50*m**6 + 0*m**4. Find l such that n(l) = 0.
-1, 1
Suppose -3*d = -1 - 17. Let j = -3 + d. Factor -6*u**3 + 3*u - 3*u**j + 3*u**5 + 3*u**3.
3*u*(u - 1)**2*(u + 1)**2
Suppose -4*z + 12 = 4*r, -3*z + 0*z - 11 = -2*r. Suppose -6 = 5*a - r*x, -2*a = 2*a - 2*x. Solve a*c - c + 20*c**2 - 2*c + 12*c**3 + 9*c = 0 for c.
-1, -2/3, 0
Let m(p) be the second derivative of p**7/84 + p**6/60 - p**5/20 - p**4/12 + p**3/12 + p**2/4 - 89*p. Find g such that m(g) = 0.
-1, 1
Suppose 18/5*r**3 + 13/5*r + 1/5*r**5 + 7/5*r**4 + 22/5*r**2 + 3/5 = 0. What is r?
-3, -1
Let r = 67 - 63. Let t(n) be the first derivative of -4/3*n**3 - 2*n + 5/2*n**2 + 1/4*n**r + 6. Solve t(i) = 0 for i.
1, 2
Solve -600*u**3 - 18*u**4 - 2048 - 6400*u - 779*u**2 - 517*u**2 - 4088*u**2 = 0 for u.
-16, -2/3
Let g be 5/(-2)*(-12)/10. Factor -10 + 56*q**2 - 12*q - g + 5.
4*(2*q - 1)*(7*q + 2)
Factor 4*j**3 - 512 - 24*j**2 + 60*j + 132*j - 3*j**3.
(j - 8)**3
Let u(c) = 199*c + 2192. Let j be u(-11). Factor 8*m**2 - 11/2*m + 1 - 7/2*m**j.
-(m - 1)**2*(7*m - 2)/2
Let s(o) be the first derivative of -7*o**6/24 + o**5/10 + 35*o**4/16 - 5*o**3/6 - 7*o**2/2 + 2*o + 114. Determine x so that s(x) = 0.
-2, -1, 2/7, 1, 2
Let n(c) be the third derivative of c**5/15 + 31*c**4/3 + 1922*c**3/3 - 724*c**2. Factor n(w).
4*(w + 31)**2
Let r(x) be the second derivative of -x**4/12 + 5*x**3/6 + 3*x**2 + 4*x. Let b be r(5). Factor 3 - 2*k - 3 + 2*k**3 - 4 + b*k**2 - 2*k**2.
2*(k - 1)*(k + 1)*(k + 2)
Suppose 0 = o - 443 + 441. Suppose 15/7*h - 12/7*h**o + 3/7*h**3 - 6/7 = 0. What is h?
1, 2
Let t(f) = f**3 + 5*f**2 + 9*f + 20. Let b be t(-4). Let x(k) be the second derivative of 0 - 2*k + b*k**2 - 1/2*k**4 + 0*k**3 + 3/20*k**5. Factor x(c).
3*c**2*(c - 2)
Factor -28/5*b**2 + 48/5 - 4/5*b**3 - 16/5*b.
-4*(b - 1)*(b + 2)*(b + 6)/5
Let q(c) be the second derivative of c**5/50 + 4*c**4/15 + c**3/3 - 14*c**2/5 + 135*c. Find l such that q(l) = 0.
-7, -2, 1
Let x(q) be the first derivative of q**6/270 - q**4/18 + 20*q**3/3 + 10. Let t(d) be the third derivative of x(d). Factor t(i).
4*(i - 1)*(i + 1)/3
Suppose 5*x - 29 + 4 = 0, 3*m = 3*x - 9. Let g(b) = -b**3 + 17*b**2 - 17*b + 24. Let o be g(16). Let o*c - 4*c + 0*c - 6*c**m + 2*c**3 = 0. Calculate c.
0, 1, 2
Suppose 0 = 2*h - 26 + 2. Suppose 8*a - h*a = 0. Suppose 3*i**4 + a*i**2 - 4 - 7*i**4 + 0*i**2 + 8*i**2 = 0. What is i?
-1, 1
Let q be 46/(-72) + (-10)/(-15). Let g(x) be the second derivative of -q*x**4 + 0 - 1/6*x**2 + 1/9*x**3 + 10*x. Factor g(m).
-(m - 1)**2/3
Find a, given that -1/3*a**2 - 1/6*a + 0 - 1/6*a**3 = 0.
-1, 0
Let w = -29645/444 - -267/4. Let k = 115/222 + w. Factor -1/2*v**3 + 0 + 0*v**2 + k*v.
-v*(v - 1)*(v + 1)/2
Let t be 1 + -1 - 0/(-2). Suppose t = -35*h + 37*h. Determine g, given that h - 1/6*g**2 - 1/2*g = 0.
-3, 0
Suppose -88*o - 2125 - 20*o + 3*o**2 + 3097 = 0. What is o?
18
Let m(k) = 11*k**3 - 124*k**2 - 17*k - 5. Let l(g) = -g**2 + g - 1. Let u(z) = 5*l(z) - m(z). Find y, given that u(y) = 0.
-2/11, 0, 11
Let n = 292 - 289. Let i(r) = r + 6. Let b be i(5). Find q such that -2 - 5/2*q**4 + 10*q + b*q**n - 33/2*q**2 = 0.
2/5, 1, 2
Let i(q) be the first derivative of -q**6/9 + 22*q**5/15 + q**4/6 - 22*q**3/9 + 182. Solve i(w) = 0.
-1, 0, 1, 11
Let z(o) be the first derivative of -2*o**3/9 + 11*o**2 + 140*o/3 + 459. Factor z(x).
-2*(x - 35)*(x + 2)/3
Let p(s) = -6*s**2 + 25*s + 42. Let b(d) = d**2 - d - 6. Let j(z) = 14*b(z) + 2*p(z). Find y such that j(y) = 0.
-18, 0
Let d = -5789/30 + 193. Let a(l) be the second derivative of 0 - d*l**4 + 0*l**2 + l - 1/15*l**3. Suppose a(f) = 0. What is f?
-1, 0
Let z(m) be the first derivative of m**7/420 - 17*m**6/540 + m**5/18 + 25*m**3/3 + 53. Let u(b) be the third derivative of z(b). Determine c so that u(c) = 0.
0, 2/3, 5
Suppose 6*b = 2*b + 8. Let d be 6/(96/(-28))*(-7)/49. Find x such that 6*x + 2*x**3 + 9/4 + 11/2*x**b + d*x**4 = 0.
-3, -1
Let q be 5/2*6/5. Let w be (-6)/1*(-8)/q. Factor 0*j + 5*j**2 - w*j**2 + j + 6*j**2.
-j*(5*j - 1)
Let x(l) be the first derivative of 21*l**4/2 - 15*l**3 - 9*l**2/2 + 12*l + 24. Factor x(k).
3*(k - 1)*(2*k + 1)*(7*k - 4)
Suppose -l = -6*l + 10. Factor a**3 - 2*a - 6*a**2 - l*a + 6 + a + 2*a**3.
3*(a - 2)*(a - 1)*(a + 1)
Let k = -69 - -72. Let 52*y - 5*y**2 - 47*y - 5*y**3 + 8 - k = 0. Calculate y.
-1, 1
Let s(z) be the first derivative of 2*z**3/15 + 8*z**2/5 + 41. Factor s(t).
2*t*(t + 8)/5
Determine k, given that 8/5 - 44/5*k**5 - 88/5*k**2 + 28/5*k + 16*k**4 + 16/5*k**3 = 0.
-1, -2/11, 1
Let g(x) = -15*x**3 - 37*x**2 - 53*x - 23. Let b(y) = -10*y**3 - 25*y**2 - 35*y - 15. Let s(l) = -8*b(l) + 5*g(l). Factor s(r).
5*(r + 1)**3
Let h(p) be the first derivative of 3*p**5/5 - 9*p**4/2 + 3*p**3 + 39*p**2 - 72*p + 286. Suppose h(q) = 0. Calculate q.
-2, 1, 3, 4
Let c(d) be the second derivative of 1/18*d**4 + 0 - 1/36*d**3 - 1/252*d**7 - 1/20*d**5 - 11*d + 0*d**2 + 1/45*d**6. Find a, given that c(a) = 0.
0, 1
Factor 0 - 2/9*v**3 + 2/9*v**2 + 0*v.
-2*v**2*(v - 1)/9
Let s(b) be the third derivative of -b**7/18900 - b**6/900 - b**5/100 + 5*b**4/6 + 7*b**2. Let w(i) be the second derivative of s(i). Factor w(x).
-2*(x + 3)**2/15
Suppose 5*n + 106 = 2*g + n, 2*g = 2*n + 102. Let j be (-6)/4 + g/14. Factor 0*t**j - 2*t**4 + 8 + t**2 + 8*t - 8*t**3 - 7*t**2.
-2*(t - 1)*(t + 1)*(t + 2)**2
Let q be ((-6)/8)/((-15)/10). Let k(o) be the second derivative of 1/12*o**4 - q*o**3 + o**2 - 2*o + 0. Factor k(l).
(l - 2)*(l - 1)
Solve 10*b**4 - 194*b**3 - 18*b - 6*b**5 + 2*b**5 - 18*b**2 + 208*b**3 = 0.
-1, 0, 3/2, 3
Let a(u) be the third derivative of u**8/504 +