(f + 1)**2/11
Let q(w) be the third derivative of -1/15*w**4 - 2/15*w**3 + 0 + 1/75*w**6 + 2/525*w**7 + 0*w**5 - 2*w**2 + 0*w. Factor q(x).
4*(x - 1)*(x + 1)**3/5
Let l(d) be the third derivative of d**8/22176 + d**7/13860 + d**5/6 - 15*d**2. Let w(s) be the third derivative of l(s). Factor w(y).
2*y*(5*y + 2)/11
Let v(p) be the second derivative of -5*p**6/48 - 119*p**5/32 - 29*p**4/6 - 23*p**3/12 + 4*p + 6. Find t such that v(t) = 0.
-23, -2/5, 0
Let h = 1046 - 1046. Let v(d) be the second derivative of 0 - 1/12*d**4 + 9*d + h*d**2 + 1/80*d**5 + 1/6*d**3. What is u in v(u) = 0?
0, 2
Factor -69/4*c**3 - 31*c**2 + 4*c + 48 - 1/4*c**5 - 7/2*c**4.
-(c - 1)*(c + 3)*(c + 4)**3/4
Let z(n) = -35*n**3 + 55*n**2 + 200*n - 140. Let d(h) = 5*h**3 - 8*h**2 - 29*h + 20. Let q(g) = 20*d(g) + 3*z(g). Factor q(i).
-5*(i - 2)*(i - 1)*(i + 2)
Let j(f) be the second derivative of -f**6/72 - 11*f**5/12 - 605*f**4/24 - 16*f**3/3 + 4*f. Let u(l) be the second derivative of j(l). Factor u(t).
-5*(t + 11)**2
Let z be 256/20 + (-2 - -6)*-1. Factor z*h - 242/5 - 2/5*h**2.
-2*(h - 11)**2/5
Let q = 3 - 9. Let o(f) = -8*f**3 - 24*f**2 + 2*f. Let x(l) = -l**2 + l. Let w(c) = q*x(c) + o(c). Factor w(v).
-2*v*(v + 2)*(4*v + 1)
Let b(s) be the second derivative of s**4/28 - 3*s**3/14 - 6*s**2/7 + s + 4. Solve b(u) = 0 for u.
-1, 4
Find i such that 17*i**4 - 67*i**2 - 17*i**5 + 71*i**2 + 21*i**5 + 20*i**3 = 0.
-2, -1/4, 0
Let m be 2/(-2)*(36/(-8) - -3). Let q(r) be the first derivative of 0*r + 0*r**3 + 6 + 3/4*r**4 + m*r**6 + 0*r**2 + 12/5*r**5. Determine g, given that q(g) = 0.
-1, -1/3, 0
Let c(i) be the third derivative of 1/240*i**5 - 1/840*i**7 + 0*i**3 - 41*i**2 + 0 - 1/240*i**6 + 1/48*i**4 + 0*i. Determine t, given that c(t) = 0.
-2, -1, 0, 1
Let n(k) be the first derivative of k**3/18 + k**2/2 + 4*k/3 - 116. Factor n(r).
(r + 2)*(r + 4)/6
Suppose 5 = u - m + 4, -3*u + 5 = -5*m. Factor 0*i - 2*i**2 + 2/3*i**4 + 4/3*i**3 + u.
2*i**2*(i - 1)*(i + 3)/3
Let u be (-43 - -7)/(-6) + -6. Let v(g) be the second derivative of 0*g**5 + 6*g + 0*g**3 - 1/10*g**6 + 0*g**2 + u*g**4 + 0. Factor v(l).
-3*l**4
Let u(l) be the third derivative of l**5/240 - 23*l**4/48 + 529*l**3/24 + 195*l**2 + 2*l. Find o such that u(o) = 0.
23
Suppose 0 = -r - 4*r + 70. Let h be r/(-4)*(-32)/728. Suppose -4/13 + 2/13*x**2 + h*x = 0. What is x?
-2, 1
Suppose -1008 = -15*f - 237*f. Suppose 0*v + 0*v**3 + 0 - 1/4*v**f + 1/4*v**2 = 0. What is v?
-1, 0, 1
Suppose -g = 2*p + 3*p - 4, p - 8 = -2*g. Let w(m) = m**2 - 6*m + 9. Let a be w(3). Factor a + 2/5*l**3 - 2/5*l + p*l**2.
2*l*(l - 1)*(l + 1)/5
Let y(g) be the third derivative of 7*g**5/18 + 103*g**4/108 - 2*g**3/27 + 2*g**2 - 15*g. What is l in y(l) = 0?
-1, 2/105
Let q(l) = 2*l**3 - 5*l**2 + 3*l + 1. Let f be q(2). Suppose 1/6*w**2 - 1/6 + 1/6*w**f - 1/6*w = 0. Calculate w.
-1, 1
Let v be ((-1)/(-8))/(26/39). Let p = 7/16 - v. Factor -1/4*a - p*a**3 + 1/2*a**2 + 0.
-a*(a - 1)**2/4
Let k(y) be the third derivative of -3721*y**5/15 + 122*y**4/3 - 8*y**3/3 - y**2 - 5. Factor k(b).
-4*(61*b - 2)**2
Let c(n) be the second derivative of n**5/4 + 5*n**4/3 + 5*n**3/2 - 115*n. Factor c(r).
5*r*(r + 1)*(r + 3)
Let x(i) = -i**3 + i**2 + i. Suppose -p - 4*p = 5*o - 15, p = 5*o - 9. Let t(h) = -6*h**2 + 12*h - 3. Let r(c) = p*t(c) - 3*x(c). Find l such that r(l) = 0.
1
Suppose -2*m = 108*m. Factor 2/11*q**2 + 6/11*q**3 + m*q + 0.
2*q**2*(3*q + 1)/11
Let s(a) be the second derivative of a**6/10 - 3*a**5/4 + a**4/4 + 21*a**3/2 - 27*a**2 - 3*a + 34. Find x, given that s(x) = 0.
-2, 1, 3
Let n(r) = r**3 - 36*r**2 - 2*r. Let y(o) = -5*o**3 + 144*o**2 + 9*o. Let b(l) = -9*n(l) - 2*y(l). Factor b(z).
z**2*(z + 36)
Let v be 28/4 + 5 + -12. Let t(r) be the second derivative of -2/15*r**6 + v + 1/5*r**5 + 0*r**4 + r + 0*r**3 + 0*r**2. Solve t(y) = 0 for y.
0, 1
Factor 4/3*x**2 + 1/6*x**4 - 3/2 - 5/3*x**3 + 5/3*x.
(x - 9)*(x - 1)**2*(x + 1)/6
Let a(q) be the first derivative of 7*q**6/2 + 78*q**5/5 - 45*q**4/4 - 26*q**3 + 12*q**2 + 69. Let a(b) = 0. What is b?
-4, -1, 0, 2/7, 1
Let g(y) be the first derivative of 1/30*y**4 + 1/5*y**2 + 2/9*y**3 - 2/75*y**5 + 0*y + 7. Factor g(b).
-2*b*(b - 3)*(b + 1)**2/15
Suppose -8*r = -3*r - 20. Let n = -28 + 31. Factor 5*t**4 - 9*t**r - t**n - 2*t**3 + t**4.
-3*t**3*(t + 1)
Let d(b) be the second derivative of -3*b**5/20 - b**4/4 + 2*b**3 + 6*b**2 + 26*b. Find q such that d(q) = 0.
-2, -1, 2
Let v(h) = 2*h - 2*h + h**3. Let o(t) = -5*t**3 - 10*t - 6*t**2 - 16*t - t**3 + 24*t + 6 - 2*t**3. Let g(r) = -2*o(r) - 20*v(r). Factor g(z).
-4*(z - 3)*(z - 1)*(z + 1)
Let h = -6 - -22. Factor -2*o - 20*o**2 + o - 4*o - h*o**3 - 3*o - 4*o**4.
-4*o*(o + 1)**2*(o + 2)
Let w(c) be the second derivative of -c**5/4 + 35*c**4/6 - 160*c**3/3 + 240*c**2 - 39*c - 2. Suppose w(b) = 0. What is b?
4, 6
Let g(p) be the third derivative of -p**8/1008 - p**7/210 - p**6/180 + p**5/90 + p**4/24 + p**3/18 + 86*p**2 + 1. Factor g(t).
-(t - 1)*(t + 1)**4/3
Factor 6826*n**2 + 1506 - 408*n - 1498 - 1624*n**2.
2*(51*n - 2)**2
Find f, given that 201*f**2 - 8*f**3 + 432 + 4*f**4 - 544*f**2 + 235*f**2 = 0.
-3, 2, 6
Let n(h) = 2*h**5 + 17*h**4 - 25*h**3 - 3. Let s(a) = -3*a**5 - 18*a**4 + 25*a**3 + 2. Let l(r) = 2*n(r) + 3*s(r). Factor l(u).
-5*u**3*(u - 1)*(u + 5)
Let b(v) = 72*v + 3. Let h(g) = g**2 + 145*g + 7. Let k(d) = -7*b(d) + 3*h(d). Factor k(o).
3*o*(o - 23)
Let x(v) be the first derivative of 4 + 0*v - 4/21*v**3 + 0*v**2. Suppose x(i) = 0. What is i?
0
Suppose -2*n + 7*n - 10 = 0. Factor -5*p**2 + 17*p**2 + 10 + p**2 - 8*p**n + 15*p.
5*(p + 1)*(p + 2)
Let m = 290486/9 - 32274. Determine p so that -m*p - 4/9*p**2 + 0 = 0.
-5, 0
Suppose -w - 46 = -138. Factor 184*q**2 + 4*q**3 + 16 - w*q**2 - 104*q**2.
4*(q - 2)**2*(q + 1)
Find k, given that -1/2*k**4 - 3/2*k**2 - 2*k**3 + 0 + 0*k = 0.
-3, -1, 0
Let s(f) be the second derivative of f**6/50 - 3*f**5/100 - 3*f**4/20 + f**3/10 + 3*f**2/5 + 353*f. Suppose s(l) = 0. What is l?
-1, 1, 2
Find y such that -22*y**3 + 38/3*y**2 - 28/3 - 10/3*y**4 + 22*y = 0.
-7, -1, 2/5, 1
Factor 1 - q**5 + 14*q**2 - q**3 + 7 - 4*q**4 + 153*q - 133*q.
-(q - 2)*(q + 1)**2*(q + 2)**2
Let u be (-2)/(-6) - 5/(-3). Find n such that 1/2*n**u + n + 1/2 = 0.
-1
Let u(p) be the first derivative of 12 + 0*p**2 + 0*p - 10/3*p**3 + 5/4*p**4. What is r in u(r) = 0?
0, 2
Let u(n) = -n**3 - 8*n**2 + 7*n - 5. Let a be u(-9). Suppose -3*i - x + 6 = x, -i + a = -3*x. Solve -2/7*p**3 + 0 + 2/7*p + 2/7*p**i - 2/7*p**2 = 0 for p.
-1, 0, 1
Let d(k) be the second derivative of k**5/12 - 5*k**4/6 + 5*k**3/2 + 5*k**2/2 + 12*k. Let b(p) be the first derivative of d(p). Factor b(h).
5*(h - 3)*(h - 1)
Let s(o) be the first derivative of o**7/2520 - o**6/1080 - o**5/72 - o**4/24 - 12*o**3 - 34. Let f(c) be the third derivative of s(c). Solve f(b) = 0.
-1, 3
Let v(j) be the third derivative of 0*j + 0*j**3 - 5/72*j**4 + 0 + 1/36*j**5 - 14*j**2. Factor v(u).
5*u*(u - 1)/3
Let b(l) = l**2 - 9*l + 8. Let z be b(9). Factor -4*u**2 + z - 3 - 5 - 24*u.
-4*u*(u + 6)
Let f(p) = -1024*p**2 + 12288*p + 2. Let o be f(12). Suppose -2*r**4 + 2*r**2 + 0 - 1/2*r**5 - 3/2*r**3 + o*r = 0. Calculate r.
-2, -1, 0, 1
Let j(q) be the third derivative of q**7/1470 + q**6/210 - 4*q**5/105 - 2*q**4/21 + 8*q**3/7 + 69*q**2. Suppose j(u) = 0. Calculate u.
-6, -2, 2
Factor 452/3*p - 40/3 + 92/3*p**2.
4*(p + 5)*(23*p - 2)/3
Let o be (3/(-6))/(-4*78/96). Determine x, given that 2/13*x**2 + 0*x**3 - o*x**4 + 0*x + 0 = 0.
-1, 0, 1
Let x = -13/14 + 3/2. Let k be (25/(-10) + 3)*(5 + 1). Find c such that -x - 6/7*c - 6/7*c**k + 16/7*c**2 = 0.
-1/3, 1, 2
Let n be 2/7*((-35)/84 + 1). Find a, given that -2/3*a - n*a**2 - 1/2 = 0.
-3, -1
Let s be (-5)/(-10)*12 + -1. Factor -16*b**2 - s*b**4 + b**4 + 20*b**2.
-4*b**2*(b - 1)*(b + 1)
Factor 88*r**3 + 10*r**4 + 128/5 + 1128/5*r**2 + 704/5*r.
2*(r + 4)**2*(5*r + 2)**2/5
Factor -5*c**3 - 220*c - 10 + 28*c**2 + 440*c - 233*c.
-(c - 5)*(c - 1)*(5*c + 2)
Let d = 371 + -367. Let y(v) be the first derivative of 1/51*v**6 + 2/85*v**5 - 2/51*v**3 + 7 + 0*v + 0*v**2 - 1/34*v**d. Factor y(n).
2*n**2*(n - 1)*(n + 1)**2/17
Let n(f) be the second derivative of f**6/180 + 3*f**5/140 + f**4/42 - 2*f**3/3 + 12*f. Let l(a) be the second derivative of n(a). Suppose l(s) = 0. Wh