(b) be the first derivative of -b**8/840 - b**7/105 - b**6/60 + 5*b**3 - 16. Let q(f) be the third derivative of u(f). Factor q(j).
-2*j**2*(j + 1)*(j + 3)
Let x = 198 + -194. Let i(o) be the first derivative of -3 - 2*o**2 + 2/3*o**3 - 1/12*o**x + 8/3*o. Factor i(d).
-(d - 2)**3/3
Suppose -10*y = -11 - 59. Let x be (-10)/35*y/(-3). Find m, given that -2*m**2 + 2*m + 2/3*m**3 - x = 0.
1
Let y = 33 - 35. Let d(j) = -5*j**4 + j**3 + 9*j**2 - 15*j + 4. Let p(l) = 21*l**4 - 3*l**3 - 36*l**2 + 60*l - 15. Let s(k) = y*p(k) - 9*d(k). Factor s(m).
3*(m - 1)**3*(m + 2)
Let o(j) = 3*j**2 - 2*j - 6. Let n be o(2). Let l(a) be the third derivative of 0*a + 9*a**n + 0 + 1/64*a**4 + 1/160*a**5 + 0*a**3. Suppose l(b) = 0. What is b?
-1, 0
Let j(y) be the second derivative of -3*y**7/35 + 52*y**6/75 - 21*y**5/10 + 41*y**4/15 - 4*y**3/5 - 8*y**2/5 + 34*y. Solve j(d) = 0 for d.
-2/9, 1, 2
Let x(k) = -k - 5. Let a be x(-9). Let p be (-2)/a*(-42)/12. Factor p*m**2 - 1 - 3*m.
(m - 2)*(7*m + 2)/4
Let y be 4/30 + 2238/90. Find i such that 29*i - 19*i + 5*i**4 + 12*i**3 + 8*i**3 + y*i**2 = 0.
-2, -1, 0
Let b(c) = -4*c**3 - 3*c**2 - 5*c + 9. Let w(v) = -2*v**3 + v**2 - v + 1. Let o(x) = -b(x) + 3*w(x). Factor o(m).
-2*(m - 3)*(m - 1)*(m + 1)
Let v(a) be the third derivative of a**7/210 - a**5/10 + a**4/3 - 4*a**3/3 + 12*a**2. Let t(s) be the first derivative of v(s). Factor t(n).
4*(n - 1)**2*(n + 2)
Let q(y) be the first derivative of y**8/336 - y**7/210 - y**6/30 + y**5/15 + 3*y**2 + 35. Let d(l) be the second derivative of q(l). Factor d(f).
f**2*(f - 2)*(f - 1)*(f + 2)
Let w(k) be the third derivative of k**5/20 + 21*k**4/8 + 19*k**3 + 8*k**2 + 7*k. Factor w(t).
3*(t + 2)*(t + 19)
Let g(z) = 2*z**2 - 23*z - 28. Let w(b) = 10*b**2 - 114*b - 140. Let d(k) = -16*g(k) + 3*w(k). Factor d(n).
-2*(n - 14)*(n + 1)
Determine b so that 0*b + 0 + 148/3*b**2 - 4/3*b**3 = 0.
0, 37
Let v(q) be the second derivative of q**6/40 + 3*q**5/10 + 11*q**4/8 + 3*q**3 + 27*q**2/8 - 92*q. Factor v(b).
3*(b + 1)**2*(b + 3)**2/4
Let o(a) be the first derivative of 2*a**5/45 + 25*a**4/18 + 488. Factor o(r).
2*r**3*(r + 25)/9
Let p = 2327/9276 - 2/2319. Let m(x) be the second derivative of -1/20*x**6 + 3*x - 3/40*x**5 + 0 + p*x**4 + 0*x**2 + 0*x**3. Factor m(j).
-3*j**2*(j - 1)*(j + 2)/2
Factor -10*p**5 + 0*p**3 - 6*p**4 + 2 - 4*p**3 + 8*p**5 + 0*p**4 + 6*p + 4*p**2.
-2*(p - 1)*(p + 1)**4
Factor -34/3 + 2/9*i**2 + 28/9*i.
2*(i - 3)*(i + 17)/9
Let t(i) be the second derivative of -i**4/15 + 74*i**3/15 + 76*i**2/5 + 20*i - 3. Factor t(j).
-4*(j - 38)*(j + 1)/5
Let q(j) = 55*j - 110. Let u be q(2). Factor u + 4/5*z - 8/5*z**3 + 14/5*z**2.
-2*z*(z - 2)*(4*z + 1)/5
Suppose 3*f = l + 9, -6*l + 7*l + 5 = 2*f. Let d(u) be the first derivative of -1/20*u**5 + 9 - 1/6*u**l + 0*u**2 + 0*u + 3/16*u**4. Factor d(h).
-h**2*(h - 2)*(h - 1)/4
Let u = 417 + -149. Factor 5 + 4*i**3 - 1 - 3*i**2 + 256*i - 3*i**4 + 6*i**3 - u*i.
-(i - 2)**2*(i + 1)*(3*i - 1)
Suppose 47/3*r + 2/3 + 52*r**2 = 0. Calculate r.
-1/4, -2/39
Let c be (40/24)/(1/3). Suppose c*n = n + 20. Factor 27*h + 9*h**4 - 27 + 3*h**n - 15*h**3 - 30*h**2 - 3*h**3 + 8*h + 28*h.
3*(h - 1)**3*(h + 3)**2
Suppose -4/5*n**2 + 0*n**3 + 0*n + 2/5*n**4 + 2/5 = 0. Calculate n.
-1, 1
Let -2/7*r**4 + 34/7*r**2 + 0 + 18/7*r + 2*r**3 = 0. What is r?
-1, 0, 9
Factor 12*f**2 + 36 + 3/4*f**3 + 39*f.
3*(f + 2)**2*(f + 12)/4
Let s = 285 + -4274/15. Let q(y) be the second derivative of -1/6*y**4 - 4*y - s*y**6 + 0 + 0*y**2 + 1/5*y**5 + 0*y**3. Factor q(w).
-2*w**2*(w - 1)**2
Suppose -10*t - 30 = 30. Let a be 8/t*3/(-10). Factor 2/5 + a*o**4 + 8/5*o + 8/5*o**3 + 12/5*o**2.
2*(o + 1)**4/5
Suppose -5*x + 2*m = -12, 5*m - 2 = -4*x + 1. What is q in -980*q**3 + 94 + 1180*q**2 - 572*q + 34 + 332*q**x - 196*q = 0?
2/5, 4/7
Let x(i) be the first derivative of 0*i + 20 - 3/5*i**2 + 2/15*i**3. Factor x(a).
2*a*(a - 3)/5
Let n(t) be the first derivative of 28*t**5/5 + 19*t**4 + 32*t**3/3 - 8*t**2 - 18. Solve n(o) = 0 for o.
-2, -1, 0, 2/7
Let q(i) be the third derivative of i**8/112 + 3*i**7/35 + 13*i**6/40 + 3*i**5/5 + i**4/2 + 280*i**2. Let q(f) = 0. What is f?
-2, -1, 0
Factor -a**2 + 4*a**2 + 6*a**2 - a**2 - 4*a**3 + 12*a.
-4*a*(a - 3)*(a + 1)
Suppose -12*b + 75 = 339. Let m be (40/(-140))/(b/14). Factor 24/11*f**2 + 12/11*f**3 + 16/11*f + m*f**4 + 0.
2*f*(f + 2)**3/11
Let d be 6/8 - (-15)/(-36). Let i(s) be the second derivative of d*s**3 + 0 + 9/20*s**5 + 0*s**2 - 4*s - 11/12*s**4. Solve i(v) = 0 for v.
0, 2/9, 1
Let s(v) be the second derivative of -v**7/189 + 2*v**6/45 - 13*v**5/90 + 2*v**4/9 - 4*v**3/27 + 105*v. Factor s(j).
-2*j*(j - 2)**2*(j - 1)**2/9
Suppose -18 = -4*k + 5*a + 3, -5*k + 24 = -4*a. Let c = -344 - -346. Determine x, given that k + 3*x + c*x - x**2 - 6 - 2*x = 0.
1, 2
Let p = 89/2 + -163/4. Determine s so that -3/4*s**3 - p*s**2 + 27/4 - 9/4*s = 0.
-3, 1
Suppose 15*o - 11*o + 3*k - 4 = 0, -2*k - 12 = -o. Let b(n) be the second derivative of 3/2*n**2 - 1/2*n**3 + 1/16*n**o - 6*n + 0. Factor b(r).
3*(r - 2)**2/4
Let a(w) = 17*w - 2*w**2 - 3*w**2 + 0*w**2 - 47 + 3*w**2. Let j(f) = 2*f**2 - 16*f + 46. Let z(c) = 4*a(c) + 3*j(c). Factor z(m).
-2*(m - 5)**2
Suppose 5*w + 5*k = 6*k + 20, 0 = 2*w + 4*k - 8. Let c(p) be the first derivative of -4 - 8*p + w*p**2 - 3*p**4 - 18/5*p**5 + 22/3*p**3. Factor c(g).
-2*(g + 1)**2*(3*g - 2)**2
Let y(z) be the second derivative of -z**4/4 - 24*z**3 - 141*z**2/2 + 74*z. Find c such that y(c) = 0.
-47, -1
Let f = -105/19 + 544/95. What is y in 0 - y - f*y**2 = 0?
-5, 0
Find c such that -69/4*c**3 - c + 0 - 7*c**2 - 35/2*c**4 - 25/4*c**5 = 0.
-1, -2/5, 0
Let f(i) be the second derivative of -10*i + 0*i**2 + 1/2*i**4 + 0 + 0*i**3 + 3/80*i**5. What is a in f(a) = 0?
-8, 0
Suppose -q - 3*s = -5*q - 9, 3*s = 5*q + 15. Let u = 24 + q. Find y, given that -36*y - 204*y**2 + 80*y**3 + 28*y + 98*y**4 + 16 + u*y**3 = 0.
-2, -2/7, 2/7, 1
Let k(n) = n - 3. Let l be k(-5). Let t be (l/(-20))/((-4)/(-20)). Factor 9*g**2 + 0*g**t - g**2 + 4*g**3 + 0*g**3 - 12*g.
4*g*(g - 1)*(g + 3)
Let j(m) be the third derivative of -11/3*m**4 + 47/90*m**5 + 10*m**2 - 1/45*m**6 - 4*m**3 + 0*m + 0. Factor j(w).
-2*(w - 6)**2*(4*w + 1)/3
Let w(j) be the second derivative of -j**5/360 - j**4/24 - j**3/4 - 6*j**2 - 20*j. Let h(d) be the first derivative of w(d). Let h(r) = 0. Calculate r.
-3
Factor 224*t**2 - 39*t**3 + 156*t**2 + 180 + 21*t**3 + 643*t - 79*t - 82*t**3.
-4*(t - 5)*(5*t + 3)**2
Let r(p) be the third derivative of -p**7/84 - 49*p**6/80 - 589*p**5/60 - 119*p**4/4 - 98*p**3/3 + 559*p**2. Find h, given that r(h) = 0.
-14, -1, -2/5
Let l(z) be the third derivative of z**8/840 - 22*z**7/105 + 242*z**6/15 - 10648*z**5/15 + 58564*z**4/3 - 5153632*z**3/15 + 4*z**2 - 2. Factor l(v).
2*(v - 22)**5/5
Let x = -9 + 95. Let b = 88 - x. What is y in 128 + 1/2*y**4 + 48*y**b + 8*y**3 + 128*y = 0?
-4
Factor 2/17*p**4 + 38/17*p**3 + 210/17*p**2 + 98/17*p - 1372/17.
2*(p - 2)*(p + 7)**3/17
Let s(z) = -7*z + 169. Let q be s(24). Let k(v) be the first derivative of 10/3*v**2 + q + 2/9*v**3 + 50/3*v. Factor k(r).
2*(r + 5)**2/3
Suppose 26 = 3*x + 2*h, 3*h = -2*x + 33 - 9. Suppose -f + 4 + x = -2*s, s + 12 = 4*f. Factor -35*p**4 + 5*p**2 - 185*p**f + 87*p**3 + 63*p**3 + 40*p.
-5*p*(p - 2)**2*(7*p - 2)
Let 1/2*k + 1/2 - 1/2*k**3 - 1/2*k**2 = 0. What is k?
-1, 1
Let l(w) be the second derivative of -w**4/12 + w**3 - 3*w**2/2 + 3*w. Let h be l(5). What is v in 28*v**3 - 3*v**2 + 2*v**h + v**4 - 28*v**3 = 0?
-1, 0, 1
Suppose -263*z - 1212*z**2 - 7*z**3 + 3*z**3 + 836*z**2 + 744 - 101*z = 0. What is z?
-93, -2, 1
Let z be ((-2)/4)/((-2525)/100 - -25). Factor -10/7*n + 0 - 12/7*n**z - 2/7*n**3.
-2*n*(n + 1)*(n + 5)/7
Let o(q) be the first derivative of q**9/2016 - q**7/140 + 7*q**3 + 10. Let n(t) be the third derivative of o(t). Factor n(r).
3*r**3*(r - 2)*(r + 2)/2
Let y = 270 + -142. Let s be (3/36)/(6/y*1). Factor 0 - 28/9*z**3 + s*z**2 + 16/9*z**4 - 1/3*z.
z*(2*z - 1)**2*(4*z - 3)/9
Suppose f = i - 5, 0 = -2*f + 4*f - 10. Let r = -6 + i. Suppose 16*u**r - u**3 - u + 29*u**3 + 8*u**2 + 3*u - 6*u = 0. Calculate u.
-1, 0, 1/4
Let v(z) = -z**2 + 4. Let u be v(0). Suppose -3*k - 26 = -w, u*w + 0*w + 4*k = 72. Factor 22*y**4 - 165*y**3 - w*y + 120*y**2 + 78*y**4 - 20*y**5 