**2/3 + 12*a - 89. Factor w(o).
-4*(o - 1)*(o + 1)*(o + 9)/3
Let t(r) be the second derivative of 6*r + 0 - 1/72*r**4 - 1/9*r**3 - 1/3*r**2. Factor t(n).
-(n + 2)**2/6
Let p(m) = -m - 1. Let u(g) = 2*g**4 + 2*g**3 - 10*g**2 + 8*g + 2. Suppose -4*f + 7*f - 6 = 0. Let h(i) = f*p(i) + u(i). Factor h(z).
2*z*(z - 1)**2*(z + 3)
Let i be (-1 - 0)/(4/(6 + 14)). Let l be (-10)/(-2) + -4 + i/6. Factor 2/3*o**2 + 2/3*o + l.
(2*o + 1)**2/6
Let m(x) = 2*x**2 - 2*x - 6. Suppose -2*l + 4*u + 4 = -0*l, -u - 10 = l. Let a(b) = b + 1. Let p(n) = l*a(n) - m(n). Suppose p(c) = 0. What is c?
-2, 0
Let x(p) be the second derivative of p**4/15 + 4*p**3/5 + 18*p**2/5 - 2*p - 1. Find g, given that x(g) = 0.
-3
Factor 8*f + 11/2*f**2 - 6.
(f + 2)*(11*f - 6)/2
Let g = -21 - -21. Suppose 4*h - 20 + 8 = g. Solve 29*w - 60*w**2 - 5*w**h - 269*w - 185 - 83 - 52 = 0.
-4
Suppose -18 = -2*z + 26. Let d(h) = -h**4 + 12*h**3 - 3*h**2 - 12*h + 11. Let v(p) = p**3 - p**2 + 1. Let g(l) = z*v(l) - 2*d(l). Factor g(j).
2*j*(j - 2)**2*(j + 3)
Let r(f) be the first derivative of -245*f**6/3 + 2436*f**5/5 - 1763*f**4/2 + 684*f**3 - 260*f**2 + 48*f - 244. Find i such that r(i) = 0.
2/7, 2/5, 1, 3
Find l such that l**5 + 207*l - 60*l**2 - 182*l - 12*l**4 + 39*l**3 + 7*l**3 = 0.
0, 1, 5
Let b(t) be the first derivative of -t**4/10 - 34*t**3/15 - 19*t**2 - 70*t + 140. Factor b(q).
-2*(q + 5)**2*(q + 7)/5
Let r(k) be the second derivative of 0 + 1/40*k**6 - 1/10*k**5 + 0*k**3 + 0*k**4 - 5*k + 1/2*k**2. Let u(g) be the first derivative of r(g). Factor u(a).
3*a**2*(a - 2)
Let h(b) be the third derivative of -b**8/56 + 8*b**7/105 - b**6/60 - 4*b**5/15 + b**4/3 - 396*b**2 + 2*b. Find z, given that h(z) = 0.
-1, 0, 2/3, 1, 2
Let d be ((-56)/(-8))/77 + 2/((-44)/(-42)). Suppose 2/5*s**d + 2/5 - 4/5*s = 0. What is s?
1
Let b(p) be the second derivative of 5*p**4/12 + 20*p**3/3 + 40*p**2 - 3*p - 40. Factor b(c).
5*(c + 4)**2
Determine i, given that 7/2*i**3 + 0 - i**2 + 0*i = 0.
0, 2/7
Let k be 4/2*(-45)/(-30). Factor -5*n + n - 3*n + k*n**2 + 4*n.
3*n*(n - 1)
Let b be (-198)/12*4/6. Let v be 2*-1*b/132. Factor 1/2*n**3 + v*n + 0 - 1/2*n**2 - 1/6*n**4.
-n*(n - 1)**3/6
Let l(i) = -i**4. Let p(w) = 0*w**2 - 124*w**4 + 3*w**2 + 48*w**3 - 2*w**2 - 5*w**2. Let x(q) = 20*l(q) + p(q). Factor x(y).
-4*y**2*(6*y - 1)**2
Let u(f) = -4*f**3 + 4*f**2 - 2. Let i(a) = 5 + 5*a**3 + 4*a**3 + 16*a**2 - 24*a**2. Let r(k) = 4*i(k) + 10*u(k). Let r(q) = 0. Calculate q.
0, 2
Let v(l) be the first derivative of 1/6*l**3 + 0*l - 1/2*l**2 + 5. What is p in v(p) = 0?
0, 2
Suppose -2*t = -3*t, 4*t = 3*l - 60. Find u, given that -2*u**3 + l*u**2 - 3*u**3 - 25*u - 28 + 38 = 0.
1, 2
Let o(v) be the second derivative of -v**7/210 + 7*v**6/90 - v**5/2 + 3*v**4/2 + v**3/2 - 8*v. Let x(u) be the second derivative of o(u). Factor x(y).
-4*(y - 3)**2*(y - 1)
Factor -1664/3*w**2 - 512*w - 2/9*w**5 - 104/9*w**4 + 0 - 1544/9*w**3.
-2*w*(w + 2)**2*(w + 24)**2/9
Determine v, given that 2/7*v**2 - 30/7*v - 32/7 = 0.
-1, 16
Suppose 33/2*w**2 + 8*w + 9*w**3 + 0 + 1/2*w**4 = 0. What is w?
-16, -1, 0
Determine r so that 0*r - 12/11*r**2 - 1/11*r**3 + 0 = 0.
-12, 0
Find n, given that -142/3*n**2 + 16 + 140/3*n - 42*n**3 - 14/3*n**5 + 94/3*n**4 = 0.
-1, -2/7, 1, 3, 4
Let h(c) be the first derivative of -c**6/12 + 3*c**5/10 - c**4/8 - c**3/2 + c**2/2 - 158. Let h(s) = 0. What is s?
-1, 0, 1, 2
Let a be 3 + (-15)/2*(-2 + -12). Let g be (1 - -2)*12/a. Factor g*c**3 + 1/3*c + 0 - 2/3*c**2.
c*(c - 1)**2/3
Let d(u) be the third derivative of 9*u**6/20 - 71*u**5/10 + 130*u**4/9 - 112*u**3/9 - 607*u**2. Find k such that d(k) = 0.
4/9, 7
Let n(m) = -9*m**2 - 3*m. Let i(k) = k**2. Let r(c) = -6*i(c) - n(c). Let r(d) = 0. What is d?
-1, 0
Let j(t) = 2*t**3 - 54*t**2 - 5*t + 138. Let y be j(27). Factor 4*z**2 + 3/4*z**4 - 13/4*z**y + 0 - z.
z*(z - 2)**2*(3*z - 1)/4
Let r be 4 - (2/(-9) + (-9)/6237*-2827). Factor r*k**2 + 7 - 2*k.
(k - 7)**2/7
Let f = 38 - 24. Let o = 14 - f. Solve -2*l**5 + 4/7*l**4 + 0*l**2 + 0*l + o*l**3 + 0 = 0.
0, 2/7
Let j be ((-8)/16)/(-1) - 3/6. Let z(w) be the first derivative of j*w + 2/17*w**2 + 2/51*w**3 + 11. Factor z(v).
2*v*(v + 2)/17
Let y(n) be the first derivative of -2*n**7/735 + n**6/120 + n**5/30 + n**4/56 - 7*n**2 + 3. Let r(z) be the second derivative of y(z). What is s in r(s) = 0?
-1, -1/4, 0, 3
Let x(d) be the first derivative of d**7/280 - d**5/10 - 7*d**3 + 26. Let c(i) be the third derivative of x(i). Factor c(q).
3*q*(q - 2)*(q + 2)
Let r = 6510 + -6508. Factor -1/7*a**r - 8/7*a + 9/7.
-(a - 1)*(a + 9)/7
Let y(o) = o**2 - 6*o + 8. Let j be y(5). Suppose l = j*l - l. Factor 0*c - 4/11*c**2 - 2/11*c**3 + l.
-2*c**2*(c + 2)/11
Let n(g) be the first derivative of g**6/40 - 3*g**4/8 - g**3 + 15*g**2/2 - 10. Let c(w) be the second derivative of n(w). Factor c(z).
3*(z - 2)*(z + 1)**2
Let a(z) be the third derivative of -z**6/120 - 2*z**5/15 - 17*z**4/24 - 5*z**3/3 - 133*z**2 - z. Suppose a(k) = 0. What is k?
-5, -2, -1
Let w(b) be the third derivative of 28*b**2 + 0*b**6 + 0*b + 1/1995*b**7 + 0*b**3 + 0*b**4 - 2/285*b**5 + 0. Suppose w(x) = 0. What is x?
-2, 0, 2
Let n(y) be the third derivative of 5*y**8/672 + y**7/14 + y**6/6 - y**5/12 - 15*y**4/16 - 5*y**3/3 + 20*y**2. Let n(t) = 0. Calculate t.
-4, -1, 1
Let p be ((-12)/28)/(7/(2016/(-27))). Factor p*b - 2/7*b**4 - 16/7*b**2 + 0 - 2*b**3.
-2*b*(b - 1)*(b + 4)**2/7
Let g(u) be the second derivative of u**7/42 - u**6/15 - u**5/10 + u**4/3 + u**3/6 - u**2 - 231*u. Factor g(q).
(q - 2)*(q - 1)**2*(q + 1)**2
Let y be (-11)/(-9) - 2/(4/2). Let z = -1339/9 + 149. Factor 4/9*p**2 + z*p**3 - 4/9 - y*p.
2*(p - 1)*(p + 1)*(p + 2)/9
Suppose -56*a = -119 + 7. Let i(k) be the first derivative of 5 + 1/3*k**a + 2/9*k**3 + 0*k. Factor i(m).
2*m*(m + 1)/3
Find n such that 30 + 19*n**2 + 43*n**2 + 35*n**3 - 82*n - 2*n**2 - 43*n = 0.
-3, 2/7, 1
Let z(v) be the second derivative of -v**6/150 - 11*v**5/100 + 13*v**4/20 - 41*v**3/30 + 7*v**2/5 - 2*v - 148. Factor z(p).
-(p - 1)**3*(p + 14)/5
Let k(d) = 3*d**3 + 28*d**2 + 25*d. Let c(m) = -6*m**3 - 55*m**2 - 49*m. Let q(t) = -4*c(t) - 7*k(t). Determine s so that q(s) = 0.
-7, -1, 0
Let c(h) be the second derivative of -h**7/42 - h**6/6 + 2*h**5/5 + 4*h**4 - 5*h - 5. Determine s, given that c(s) = 0.
-4, 0, 3
Let f(p) be the second derivative of -p**5/180 - 41*p**4/108 + 7*p**3/9 - 12*p + 1. Suppose f(u) = 0. What is u?
-42, 0, 1
Let g(p) be the first derivative of 2*p**3/27 + 8*p**2/9 - 32*p/3 + 332. Determine q so that g(q) = 0.
-12, 4
Let f = -199 + 187. Let t be 6 + -4 + f/9. Factor -2/3*r**2 - t + 4/3*r.
-2*(r - 1)**2/3
Let z(t) = 5*t - 3. Let j be z(1). Let 4 + 27*x - 24*x**2 - 8 - j + 3*x**2 = 0. What is x?
2/7, 1
Let g(m) = -6*m. Let i(c) = c**2 - 3*c + 32. Let r(o) = -5*g(o) - i(o). Factor r(f).
-(f - 32)*(f - 1)
Let a(g) be the second derivative of 0 + 0*g**2 + 5/6*g**4 + 7*g - 1/20*g**5 - 25/6*g**3. Factor a(b).
-b*(b - 5)**2
Factor -z**4 + 34*z**3 - 36 - 27*z**2 - 5*z**3 - 50*z**2 + 92*z - 7*z**3.
-(z - 18)*(z - 2)*(z - 1)**2
Let t be 0 - -4*72/80. Let c(x) be the first derivative of -3/5*x - 81/5*x**4 - t*x**2 - 4 - 54/5*x**3 - 243/25*x**5. Find l, given that c(l) = 0.
-1/3
Suppose -28/11*r**2 + 256/11 + 64/11*r + 2/11*r**3 = 0. What is r?
-2, 8
Let v(z) be the third derivative of -1/135*z**5 - 1/108*z**6 + 0*z + 0 - 8*z**2 + 0*z**3 + 1/36*z**4 + 4/945*z**7. Factor v(x).
2*x*(x - 1)**2*(4*x + 3)/9
Factor 2/17*s + 0 - 2/17*s**2.
-2*s*(s - 1)/17
Let f(h) = h**2 - 2*h + 2. Let y(t) = -3*t**2 + 669*t - 438. Let s(d) = 6*f(d) - y(d). Determine m, given that s(m) = 0.
2/3, 75
Suppose -5*w + 7 + 18 = 0. Let q(h) be the second derivative of 0*h**3 + 0 + 0*h**4 - 2*h + 1/110*h**w + 0*h**2. Factor q(a).
2*a**3/11
Let v(d) be the third derivative of 23*d**2 + 1/120*d**5 + 0*d + 0 + 0*d**3 - 7/48*d**4. Solve v(k) = 0.
0, 7
Let 4/7*o**4 - 32/7*o**3 + 52/7*o**2 + 0 - 24/7*o = 0. Calculate o.
0, 1, 6
Let u be 2*((-10)/(-40) + 6/8). Let w(x) be the first derivative of -3/4*x**4 + 5 - 3*x + 3/2*x**u + x**3. Factor w(l).
-3*(l - 1)**2*(l + 1)
Let n(z) be the first derivative of -z**4/102 - 15*z + 16. Let q(w) be the first derivative of n(w). Find s, given that q(s) = 0.
0
Let m(t) be the first derivative of -t**4/46 - 6*t**3/23 - 20*t**