olve c(u) = 0 for u.
0, 2/9, 1
Let t(x) be the first derivative of -2*x**6/15 + 8*x**5/25 + 2*x**4/5 - 32*x**3/15 + 14*x**2/5 - 8*x/5 + 48. Factor t(u).
-4*(u - 1)**4*(u + 2)/5
Let s(x) = x**3 + 5*x**2 + x + 7. Let a(y) = -6*y**2 + 2*y - 1. Let g be a(1). Let j be s(g). Factor v**2 - v + 1 - j - 20*v**3 + 21*v**3.
(v - 1)*(v + 1)**2
Let y(w) = -3*w - 15. Let q = -56 - -50. Let h be y(q). What is l in -21/2*l + 9/2 + 15/2*l**2 - 3/2*l**h = 0?
1, 3
Suppose 0 = 10*d - 5*d - 25. Solve -13*j**2 - 5*j**4 + 8*j**2 - d*j**4 + 5*j**4 - 10*j**3 = 0 for j.
-1, 0
Let l be 3*(1/2)/(1/2). Suppose -2*m + 10*m = -l*m. Factor m + 0*o + 2/11*o**2.
2*o**2/11
Determine o, given that 55/9*o + 1/3*o**2 - 38/9 = 0.
-19, 2/3
Factor -168/5 - 2/5*i**2 - 10*i.
-2*(i + 4)*(i + 21)/5
Let a(o) be the third derivative of -5*o**8/336 + o**7/42 + o**6/24 - o**5/12 + o**2 - 31. Let a(u) = 0. What is u?
-1, 0, 1
Let v(p) be the second derivative of p**7/21 + 4*p**6/15 - 3*p**5/10 - 3*p**4 - p - 27. Factor v(u).
2*u**2*(u - 2)*(u + 3)**2
Factor 3/2*k**4 + 15*k - 9*k**3 + 0 + 9/2*k**2.
3*k*(k - 5)*(k - 2)*(k + 1)/2
Suppose -6*b + 0 = -6. Let c(o) be the first derivative of -4/7*o - b - 4/7*o**2 - 4/21*o**3. Factor c(v).
-4*(v + 1)**2/7
Let z(y) be the second derivative of y**5/20 + y**3/3 - y**2/2 + 18*y. Let f(n) = 12*n**3 + 30*n - 14. Let j(p) = -2*f(p) + 28*z(p). Factor j(l).
4*l*(l - 1)*(l + 1)
Let f(g) = 1799*g**3 - 380*g**2 + 20*g. Let q(a) = 16190*a**3 - 3420*a**2 + 180*a. Let n(j) = -55*f(j) + 6*q(j). Factor n(c).
-5*c*(19*c - 2)**2
Let l(d) be the second derivative of d**8/1344 + d**7/252 - d**6/144 - d**5/12 + 7*d**4/12 - 29*d. Let z(m) be the third derivative of l(m). Factor z(h).
5*(h - 1)*(h + 1)*(h + 2)
Suppose -2/9*q**2 - 164/9*q - 3362/9 = 0. What is q?
-41
Suppose -1/7*f**4 - 93/7*f**3 - 2883/7*f**2 - 29791/7*f + 0 = 0. What is f?
-31, 0
Factor -14 - 11/7*m**3 + 17*m - 1/7*m**4 - 9/7*m**2.
-(m - 2)*(m - 1)*(m + 7)**2/7
Let t be (-1 + (-236)/(-48))*(2 - 3). Let x = t - -17/3. Find m, given that 0 - 1/2*m + x*m**2 = 0.
0, 2/7
Let z(p) be the first derivative of 2*p**5/35 - 2*p**4/7 - 2*p**3/21 + 4*p**2/7 + 62. Factor z(m).
2*m*(m - 4)*(m - 1)*(m + 1)/7
Let r(j) be the first derivative of -21*j - 3/2*j**4 - 28 - 9*j**2 + 15*j**3. Factor r(s).
-3*(s - 7)*(s - 1)*(2*s + 1)
Let b be -2 + (1 - 1240/25). Let y = 51 + b. What is c in 6/5*c**3 + 8/5*c**2 - y*c - 4/5 = 0?
-1, 2/3
Suppose 69*c - 74*c = -150. Let q = 1 - -1. Factor 22*w**3 - 9*w + 6*w**4 + c*w**q - 1 + 27*w - 2 + 7.
2*(w + 1)**3*(3*w + 2)
Let p(h) be the third derivative of h**7/315 + h**6/90 - 11*h**5/18 - 14*h**4/9 - 289*h**2. Factor p(n).
2*n*(n - 7)*(n + 1)*(n + 8)/3
Let t(n) be the first derivative of -5/3*n**6 + 0*n - 5/3*n**3 + 0*n**2 + 3*n**5 + 13 + 0*n**4. Determine c, given that t(c) = 0.
-1/2, 0, 1
Suppose 8*s = -104 + 152. Let z(b) be the second derivative of 1/3*b**3 - 3*b - 1/10*b**5 - 1/15*b**s + 0*b**2 + 1/6*b**4 + 0. Suppose z(n) = 0. What is n?
-1, 0, 1
Let r(h) = -2*h**2 + 75*h + 38. Let x be r(38). Let a(z) be the second derivative of -6*z + x + 2/15*z**4 + 2/5*z**2 - 1/50*z**5 - 1/3*z**3. Factor a(p).
-2*(p - 2)*(p - 1)**2/5
Suppose 7*w**3 - 6096*w - 46*w**2 + 6136*w + 7*w**3 - 8 = 0. Calculate w.
2/7, 1, 2
Let a = -31 - -21. Let j = a + 13. Factor -13*g**3 + g**3 + 9*g**3 + 9*g**2 - j*g**2.
-3*g**2*(g - 2)
Factor 2/23*o**3 + 1024/23 + 384/23*o + 48/23*o**2.
2*(o + 8)**3/23
Suppose 3*b + 63 = 3*n, n + 5*b = 5 - 14. Let g = n + -13. Find l, given that 4*l**g - 6*l**5 - 3*l**5 - 6*l**4 + 5*l**3 + 6*l**2 = 0.
-1, -2/3, 0, 1
Let i(q) = q**3 + 220*q**2 + 2418*q + 2. Let z(t) = t**3 - 220*t**2 - 2417*t - 3. Let k(g) = 3*i(g) + 2*z(g). Solve k(m) = 0 for m.
-22, 0
Factor 1/8*s**2 + 0 + 31/8*s.
s*(s + 31)/8
Let u = -8763 + 131447/15. Determine s so that 0 - u*s**2 + 0*s = 0.
0
Suppose 2*r = g + 61, -4*r + 4*g - g + 127 = 0. Let x be ((-6)/7)/((-8)/r). Factor 2*j**3 + 16*j**x + 4*j + 6*j**3 + 16*j**2 + 16*j**4 + 2*j**5 + 2*j**5.
4*j*(j + 1)**4
Factor -273/8*i**3 - 153/8*i**2 + 0 - 147/8*i**4 - 27/8*i.
-3*i*(i + 1)*(7*i + 3)**2/8
Determine v, given that 0*v + 10*v**2 + 0 + 2/3*v**3 = 0.
-15, 0
Let w(z) be the second derivative of z**4/6 + 40*z**3/3 + 400*z**2 + z - 102. Factor w(b).
2*(b + 20)**2
Let q(x) be the first derivative of -x**5/10 + 7*x**4/8 + x**3/2 - 19*x**2/4 - 7*x - 375. Solve q(d) = 0 for d.
-1, 2, 7
Suppose 17*b + 227 = 145 + 150. Factor 0 + 5/4*k**b - 15/2*k - 35/4*k**2 + 0*k**3.
5*k*(k - 3)*(k + 1)*(k + 2)/4
Determine s, given that -5*s**3 - 1631 + 1631 + s**2 + s**5 - 4*s**2 - s**4 = 0.
-1, 0, 3
Let i(d) be the first derivative of -d**4/8 + d**3/6 + d**2/4 - d/2 + 18. Let i(s) = 0. Calculate s.
-1, 1
Let u(v) be the second derivative of 1/42*v**7 + 0*v**2 + 5/24*v**4 - 1/12*v**6 + 23*v + 0 - 1/6*v**3 + 0*v**5. Solve u(f) = 0 for f.
-1, 0, 1/2, 1, 2
Let o = -21 - -33. Determine h, given that -7*h + h**3 - 4*h**3 - 7*h + 6 - h + o*h**2 = 0.
1, 2
Let m(s) be the third derivative of 11*s**7/945 + s**6/27 + 7*s**5/270 - s**4/54 + 173*s**2 - 2*s. Determine r so that m(r) = 0.
-1, 0, 2/11
Let f = -2 + 2. Let h(x) be the second derivative of 4/105*x**6 + 0*x**2 + 0 - 1/140*x**5 - 4*x + f*x**3 - 1/42*x**4 - 5/294*x**7. Factor h(d).
-d**2*(d - 1)**2*(5*d + 2)/7
Let w(u) be the third derivative of -u**8/2880 + u**7/315 - u**6/180 - u**5/15 + 17*u**2. Let k(r) be the third derivative of w(r). Factor k(g).
-(g - 2)*(7*g - 2)
Let -2/9*c**5 + 0*c + 40/3*c**2 + 38/9*c**4 - 128/9*c**3 + 0 = 0. Calculate c.
0, 2, 15
Let t = 5 + 2. Factor -49/3*h**3 + 4/3 + t*h**2 + 8*h.
-(h - 1)*(7*h + 2)**2/3
Suppose 239 = 7*b + 85. Let w be 5/4 + b/(-24). Factor -t**2 + 1/3*t + 2/3 - 1/3*t**3 + w*t**4.
(t - 2)*(t - 1)*(t + 1)**2/3
Let v(l) be the second derivative of -l**5/180 - l**4/72 - 3*l**2 + 11*l. Let g(m) be the first derivative of v(m). Solve g(q) = 0 for q.
-1, 0
Let w be (15/(-9))/(200/(-60)). Let u(n) be the first derivative of -2/5*n**5 + 0*n**2 + 1/3*n**6 - 7 - w*n**4 + 0*n + 2/3*n**3. Factor u(t).
2*t**2*(t - 1)**2*(t + 1)
Let b be (-19 - -7)/(1*-1). Let n be (-3 - 27/(-6))*40/b. Determine v, given that -1/7*v - 1/7 + 2/7*v**3 + 2/7*v**2 - 1/7*v**4 - 1/7*v**n = 0.
-1, 1
Let f be ((-5)/4)/(3/(-12)). Let n = 8 - f. Factor -5 - 2*g - g + 3*g**n + 5.
3*g*(g - 1)*(g + 1)
Let s(q) = -8*q**3 - 21*q**2 - 67*q - 39. Let p(c) = -2*c**3 + c**2 - 3*c - 1. Let g(a) = -3*p(a) + s(a). Factor g(d).
-2*(d + 1)*(d + 2)*(d + 9)
Let y = 17309/11 - 1573. Suppose -y*w**2 + 0 - 2/11*w**4 - 2/11*w - 6/11*w**3 = 0. What is w?
-1, 0
Let a(o) be the third derivative of -1/270*o**5 + 1/168*o**8 - 1/63*o**7 + 7/540*o**6 + 0*o + 0*o**3 + 0*o**4 + 47*o**2 + 0. Factor a(m).
2*m**2*(m - 1)*(3*m - 1)**2/9
Let d = 4501/4 - 1125. Let 0*y**4 + 0*y**2 - 1/4*y**3 + 0 + d*y**5 + 0*y = 0. What is y?
-1, 0, 1
Factor -11*s**3 + 4*s**2 + 16*s - 12*s**2 + 12 + 10*s**3 + 11*s**2.
-(s - 6)*(s + 1)*(s + 2)
Let s be 1/(-6) + (-260)/(-5880). Let p = 79/245 + s. Let p*i**3 + 2/5*i**4 + 0*i + 0 - 1/5*i**2 = 0. Calculate i.
-1, 0, 1/2
Let d(h) be the first derivative of -2*h**6/3 - 4*h**5/5 + 3*h**4 + 20*h**3/3 + 4*h**2 - 165. Factor d(o).
-4*o*(o - 2)*(o + 1)**3
Let m(f) = 3*f**3 - 6*f**2 + 45*f + 36. Let j(v) = -7*v**3 + 14*v**2 - 91*v - 73. Let r(g) = -6*j(g) - 13*m(g). Let r(l) = 0. What is l?
-2, -1, 5
Factor 2/11*q**3 - 4/11*q**2 - 8/11*q + 16/11.
2*(q - 2)**2*(q + 2)/11
Let y(t) = -8*t**3 + 177*t**2 + 3*t - 157. Let f(r) = -r**3 + 3*r**2 + 1. Let w(x) = 5*f(x) - y(x). Factor w(p).
3*(p - 54)*(p - 1)*(p + 1)
Factor 6/5 - 3/5*c + 3/5*c**3 - 6/5*c**2.
3*(c - 2)*(c - 1)*(c + 1)/5
Suppose -3/8*a**3 + 0 - 507/2*a - 39/2*a**2 = 0. Calculate a.
-26, 0
Let g be 228/9*90/40. Find w, given that 14*w**3 + 43*w**4 + 50*w - 28*w**2 - 169*w - 21*w**5 + g*w + 54*w = 0.
-2/3, -2/7, 0, 1, 2
Let d(h) = -17*h. Let l be d(0). Let b(a) be the third derivative of 0*a**3 + 0*a + 4*a**2 - 1/420*a**5 - 1/168*a**4 + l. Let b(m) = 0. Calculate m.
-1, 0
Let z(h) = h**2. Let v be z(2). Solve -190*c**4 + 5*c**3 + c**3 + 199*c**v = 0.
-2/3, 0
Let z(u) = u**5 + u**4 + u**3 - u**2 - 1. Let g(d) = -6*d**4 + 8*d**3 - 6*d**2 + 2*d + 1. Let t(k) = -5*g(k) - 5*z(k). Solve t(p) = 0.
0, 1, 2
Let h(r) be the third derivative of -175*r**7/6 - 385*r**6/8 + 23*r**5/4 - 5*r**4/24 - 2