ivative of n(j). Factor b(x).
2*x**2*(x - 1)
Let s = 431/30 - 71/5. Let j(g) be the second derivative of -1/10*g**5 + 0*g**2 + 1/45*g**6 - 1/9*g**3 + s*g**4 + 0 + g. Solve j(k) = 0 for k.
0, 1
Suppose -4*o + 150 = 14. Factor 9*r**3 - o*r - 65*r**2 - 81*r**3 - 4 - 23*r**2.
-2*(2*r + 1)**2*(9*r + 2)
Let m(n) = 3*n**2 + 7*n + 5. Let b(h) = 7 - h + h**2 + 3*h**2 + 11*h. Let f be (-37)/5 - 6/(-15). Let i(d) = f*m(d) + 5*b(d). Factor i(o).
-o*(o - 1)
Let n be (0 + 0)/(14 + -11). Let q(r) be the third derivative of n*r**3 + r**2 + 0*r**4 + 1/90*r**5 + 0 - 1/180*r**6 + 0*r. Factor q(c).
-2*c**2*(c - 1)/3
Let u = 7/23 + -31/253. Factor -12/11*b**3 - 8/11*b**4 - u*b**5 + 0 - 2/11*b - 8/11*b**2.
-2*b*(b + 1)**4/11
Let v(o) be the third derivative of -o**5/120 - o**4/12 - o**3/3 - 8*o**2. Factor v(y).
-(y + 2)**2/2
Solve -4/7*i**3 + 0 + 4/7*i**2 + 0*i = 0.
0, 1
Let l(g) = 1035*g**4 + 7365*g**3 + 13510*g**2 + 5545*g + 545. Let h(n) = 74*n**4 + 526*n**3 + 965*n**2 + 396*n + 39. Let y(k) = 85*h(k) - 6*l(k). Factor y(u).
5*(u + 3)**2*(4*u + 1)**2
Let -q**2 + q**5 - 3*q**2 + 20*q**3 - q**2 - 25*q**4 + 9*q**5 = 0. What is q?
0, 1/2, 1
Let y(k) be the third derivative of 0 + 1/10*k**4 + 8*k**2 - 1/150*k**5 - 3/5*k**3 + 0*k. Factor y(x).
-2*(x - 3)**2/5
Let v(b) be the third derivative of 2*b**2 + 0*b + 0*b**5 + 1/60*b**6 + 0*b**4 + 0*b**3 + 1/168*b**8 + 0 + 2/105*b**7. Let v(h) = 0. What is h?
-1, 0
Solve 12*d**2 - d + 3 - 3*d - 11 = 0.
-2/3, 1
Let x(w) be the first derivative of 3/8*w**2 + 0*w + 9/8*w**4 - w**3 - 3/5*w**5 - 3 + 1/8*w**6. Let x(y) = 0. What is y?
0, 1
Let m(i) be the third derivative of i**7/525 - i**5/50 + i**4/30 + 2*i**2. Factor m(t).
2*t*(t - 1)**2*(t + 2)/5
Let v(y) = -y**2 - 6*y - 6. Let q be v(-6). Let n be (-3)/18 + q/(-36). What is k in 1/3*k**3 + 0 + n*k - 1/3*k**2 = 0?
0, 1
Factor 20 - 32/3*v + 4/3*v**2.
4*(v - 5)*(v - 3)/3
Let i(d) be the second derivative of d**6/60 - d**5/8 + d**4/3 - d**3/3 + 2*d. Solve i(n) = 0.
0, 1, 2
Let o(x) = 5*x + 2*x**2 + 2 + 4 - 7*x. Let z(u) = 2*u**2 - 2*u + 5. Let n(y) = 5*o(y) - 6*z(y). Let n(a) = 0. What is a?
0, 1
Let d = -73 + 78. Find r, given that 0*r**2 - 1/5*r**d + 0 + 1/5*r**3 + 0*r**4 + 0*r = 0.
-1, 0, 1
Let o(w) = w**2 + 41*w - 132. Let y be o(-44). Factor y - 2/7*s**3 - 8/7*s**2 - 8/7*s.
-2*s*(s + 2)**2/7
Suppose -2*u = -5*r - 128 - 80, -u - 156 = 4*r. Let m = r - -202/5. Factor 1/5*i**3 - m*i**2 + 2/5*i**4 - 1/5*i + 0.
i*(i - 1)*(i + 1)*(2*i + 1)/5
Let y(u) = -2*u**3 + u**2 + 3*u - 2. Let o be y(1). Factor 0*a - 1/2*a**2 + 0 + 1/2*a**4 + o*a**3.
a**2*(a - 1)*(a + 1)/2
Factor -3/5*i + 0 - 27/5*i**2.
-3*i*(9*i + 1)/5
Let d(f) be the second derivative of -f**5/5 + 11*f**4/12 - 5*f**3/6 - f**2 + f. Factor d(u).
-(u - 2)*(u - 1)*(4*u + 1)
Let p be -2 + 1 + (-3)/(-1). Suppose 6 = -5*w - 2*f, -w = -p*f - 0*f - 6. Find k, given that -3*k**4 - k**2 + w*k**5 - 2*k**5 + k**5 - 3*k**3 = 0.
-1, 0
Let o be (((-8)/10)/(-4))/(4/30). Let 3 + 9/2*u**3 - 3/2*u**4 - o*u**2 - 9/2*u = 0. What is u?
-1, 1, 2
Let n(s) be the second derivative of -1/20*s**5 + 0*s**2 - 1/15*s**3 + 6*s + 0 + 7/60*s**4. Factor n(p).
-p*(p - 1)*(5*p - 2)/5
Let m(b) be the first derivative of 1/18*b**6 + 0*b**2 - 1/12*b**4 + 0*b - 1/15*b**5 - 6 + 1/9*b**3. Let m(d) = 0. Calculate d.
-1, 0, 1
Let v be 4 + -1 + 6/(-4). Let c(g) be the first derivative of -v*g**2 - 11/12*g**4 - 2/3*g - 1/5*g**5 - 5/3*g**3 + 1. Factor c(j).
-(j + 1)**3*(3*j + 2)/3
Let b(i) be the second derivative of i**5/120 - i**4/72 - i**3/36 + i**2/12 - 43*i. Find r such that b(r) = 0.
-1, 1
Let b(r) = 3 + 0 - 2 + r. Let t be b(0). Factor 0 + 2 - t - 3*o**2 + 3*o + o**3 - 2.
(o - 1)**3
Let h(u) = -11*u - 74. Let q be h(-7). Factor 0 - 3/4*c**q + 0*c - 1/4*c**5 + 1/4*c**2 + 3/4*c**4.
-c**2*(c - 1)**3/4
Let p = -77/6 + 40/3. Let j(u) be the first derivative of -1 + 2/3*u**3 + 0*u**2 + 0*u - p*u**4. Factor j(q).
-2*q**2*(q - 1)
Let -3*w - 3/2*w**3 - 9/2*w**2 + 0 = 0. Calculate w.
-2, -1, 0
Let a(y) be the second derivative of 1/63*y**7 + 0*y**2 + 0*y**6 - 1/30*y**5 + 0*y**4 + 0*y**3 + 0 + 6*y. Factor a(d).
2*d**3*(d - 1)*(d + 1)/3
Let g be (0 - (-4 + 1)) + 0. Let o(m) be the first derivative of -119/20*m**5 - 2*m**2 + 49/24*m**6 - m - 2 + 23/12*m**g + 67/16*m**4. Factor o(d).
(d - 1)**3*(7*d + 2)**2/4
Let m(w) be the third derivative of -3/16*w**4 + 0 + w**2 - 1/4*w**3 - 1/20*w**5 + 1/40*w**6 + 0*w + 1/224*w**8 + 3/140*w**7. Find u such that m(u) = 0.
-1, 1
Suppose 0 = -6*k + 2*k + 8, 4*m + 5*k = 22. Let j(c) be the first derivative of m + 2/33*c**3 + 2/11*c + 2/11*c**2. Let j(w) = 0. What is w?
-1
Let h(t) be the second derivative of 1/20*t**5 + 0*t**3 + 1/24*t**4 + 0 + 1/60*t**6 - t + 0*t**2. Suppose h(b) = 0. What is b?
-1, 0
Let -4/3 - 2/3*c**2 + 2*c = 0. What is c?
1, 2
Let p(n) = -2*n**2 + 4*n - 2. Let z be p(2). Let q = z - -6. Factor 3*u**q + 4*u**3 - 10*u**2 + 0*u**3 + 7*u**4 - 4*u.
2*u*(u - 1)*(u + 1)*(5*u + 2)
Factor -7*p + 71*p**2 - p - 1 - 69*p**2 + 7.
2*(p - 3)*(p - 1)
Let u(k) = -k**3 - 3*k - 2. Let p(c) be the first derivative of -5*c + 1 - 1/3*c**3 - 3*c**2 - 1/2*c**4. Let a(n) = 3*p(n) - 7*u(n). What is r in a(r) = 0?
1
Suppose 40/3*r - 100/3 - 4/3*r**2 = 0. What is r?
5
Let n be (-47)/(-7) + (-4)/(-14). Suppose -w + n = 5*v - 6, -2*w - 1 = v. Factor -1 + 3 - v + m**2.
(m - 1)*(m + 1)
Let r(k) = k - 1. Let s = 12 + -10. Let p(j) = -j**2 + 2*j - 1. Let g(n) = s*p(n) - 2*r(n). Suppose g(u) = 0. What is u?
0, 1
Let b(f) be the first derivative of -f**8/168 + 4*f**7/105 - f**6/12 + f**5/15 - f**2 - 1. Let o(j) be the second derivative of b(j). Factor o(w).
-2*w**2*(w - 2)*(w - 1)**2
Let y(d) be the first derivative of d**6/45 - d**5/420 - d**4/42 + d**3 - 4. Let s(r) be the third derivative of y(r). Factor s(f).
2*(4*f + 1)*(7*f - 2)/7
Let n(r) be the second derivative of r**4/4 - 2*r**3 - 11*r. Factor n(q).
3*q*(q - 4)
Let o(c) be the third derivative of 0 + 1/200*c**6 + 6*c**2 + 1/20*c**4 + 3/100*c**5 + 0*c + 0*c**3. Determine p so that o(p) = 0.
-2, -1, 0
Let c(a) be the third derivative of 1/2*a**4 - 2*a**3 - 1/20*a**5 + 0 + a**2 + 0*a. Factor c(o).
-3*(o - 2)**2
Let n(t) = t**2 + 5*t. Let m be n(-5). Suppose 4 = u + 2. Factor 7*s**u - 5*s**2 + m*s**2 + 2*s.
2*s*(s + 1)
Let v(t) = 6*t**3 - 17*t**2 - 5. Let k(l) = -21*l**3 + 60*l**2 + 18. Let h(m) = -5*k(m) - 18*v(m). Find w such that h(w) = 0.
0, 2
Determine n so that 4/7*n**4 - 12/7*n**2 - 4/7*n + 4/7*n**3 + 8/7 = 0.
-2, -1, 1
Let z(v) be the third derivative of v**8/1176 + v**7/245 + v**6/210 + 15*v**2. What is w in z(w) = 0?
-2, -1, 0
Suppose -3*n = -8 + 2. Let i be (1 - n)*-1*0. Let 1/2*p**2 + 1/2*p**3 + 0 + i*p = 0. Calculate p.
-1, 0
Let j(w) = 4*w - 4. Let t be j(2). Factor 2*c + 0*c - t*c - 2*c**2 + 0*c.
-2*c*(c + 1)
Suppose -3*t + 9 = -0*t. Let i(f) = -f**2 + 5*f - 2. Let g be i(t). Solve 0*j**2 + 2/5*j**5 + 2/5*j**3 + 0*j - 4/5*j**g + 0 = 0.
0, 1
Let q be (-31)/7 + -7 + 12. Factor 0 - 2/7*c - 2/7*c**3 - q*c**2.
-2*c*(c + 1)**2/7
Let g(b) = -2*b. Let d be g(-1). Suppose -q + d*q - 40 = 0. Factor -3 - 8 + 3 - 50*y**2 + q*y.
-2*(5*y - 2)**2
Factor -2/5*j**5 - 2/5*j + 2/5 - 4/5*j**2 + 4/5*j**3 + 2/5*j**4.
-2*(j - 1)**3*(j + 1)**2/5
Suppose 3*o - 4*q = 9, -4*q - 9 = -3*o - 3*q. Let n be (-1)/o - (-5 + 2). Find c such that -8/3*c + 2/3*c**2 + n = 0.
2
Let t = -2 - -2. Let z(k) be the third derivative of -1/240*k**5 + t - 1/24*k**3 - 1/48*k**4 + k**2 + 0*k. Factor z(n).
-(n + 1)**2/4
Let q(o) = o**3 - 4*o**2 + 3*o + 2. Let f be q(3). Suppose -f*t + 2 = -2. Factor x**2 + 0*x + 0*x - 2*x**t + 1.
-(x - 1)*(x + 1)
Let h(r) = -r**2 + 4*r - 9. Let k(z) = 2*z**2 - 7*z + 18. Let q(m) = 5*h(m) + 2*k(m). Find c such that q(c) = 0.
3
Let m be ((-4)/90)/(5/(-50)). Let g = 52 - 50. Factor -2/9*l**g + 0*l - m*l**3 + 0.
-2*l**2*(2*l + 1)/9
Let n(v) be the second derivative of 1/126*v**7 - 1/45*v**6 + 0*v**4 + 0*v**2 + 1/60*v**5 + 0 + 0*v**3 - 2*v. Factor n(r).
r**3*(r - 1)**2/3
Let y(m) = m**2 + m - 2. Let w(c) = 27*c + 198. Let b(n) = 2*w(n) + 2*y(n). Factor b(p).
2*(p + 14)**2
Suppose 242 = 45*u + 62. Factor 1/6*t**u - 1/3*t**2 + 1/6*t + 1/6 - 1/3*t**3 + 1/6*t**5.
(t - 1)**2*(t + 1)**3/6
Let s(c) = c**2 + 7*c + 2. Let j = -5 - 2. Let r be s(j). Let 2/3*f - 4/3*f**r + 0 = 0. What is f?
0, 1/2
Let y(j) = 4*j - 9