/3*m**4 - 3*m - 16*m**2 - 20*m**3. Factor j(g).
-4*(g + 4)*(7*g + 2)
Let j(a) be the second derivative of -a**9/52920 + a**7/8820 + 11*a**4/6 - 12*a. Let x(w) be the third derivative of j(w). Factor x(d).
-2*d**2*(d - 1)*(d + 1)/7
Let n(b) be the second derivative of -b**4/12 - 3*b**3/2 - 4*b**2 + 16*b. Let x(r) = 2*r**2 + 18*r + 16. Let g(y) = -11*n(y) - 6*x(y). Factor g(k).
-(k + 1)*(k + 8)
Let w(s) be the second derivative of s**6/90 - s**5/12 + s**4/6 + s + 8. Suppose w(g) = 0. Calculate g.
0, 2, 3
Let q(t) be the second derivative of -t**7/63 + 52*t**6/45 - 45*t**5/2 - 26*t**4/9 + 676*t**3/9 - 872*t. Find d such that q(d) = 0.
-1, 0, 1, 26
Let 0 - 119/4*v**4 + 49/4*v**5 + 11*v**2 + 9/2*v**3 + 2*v = 0. What is v?
-2/7, 0, 1, 2
Suppose -4*i + 4 - 12 = 0. Let k be 24/4*i/(-3). Suppose 2*o**5 - 4*o**3 + 2*o - k - 4*o**2 + o**4 + o**4 + 6 = 0. What is o?
-1, 1
Let h(c) be the second derivative of -c**4/3 + 78*c**3 + 92*c + 3. Solve h(z) = 0 for z.
0, 117
Let x(l) = 4*l**3 - l**2. Let z be x(1). Let b be (-2)/(-4)*((-5 - -3) + 6). Let -12*m + 4*m**b - m**2 + 0*m**2 + 9 + z = 0. Calculate m.
2
Let q(k) be the second derivative of -k**9/52920 - k**8/23520 + k**7/8820 + k**6/2520 + 5*k**4/12 - 5*k. Let r(u) be the third derivative of q(u). Factor r(x).
-2*x*(x - 1)*(x + 1)**2/7
Let f = 59/14 - 19/7. Let g(s) be the first derivative of s**3 + f*s**2 - 6*s - 7. Factor g(c).
3*(c - 1)*(c + 2)
Let n(f) = 4*f**2 - 138*f + 129. Let y(p) = -3*p**2 + 69*p - 63. Let t(g) = -3*n(g) - 5*y(g). Solve t(z) = 0 for z.
-24, 1
Let f(h) be the third derivative of -h**5/300 - 520*h**2. Find g, given that f(g) = 0.
0
Suppose 2 = -5*j + 12. Factor 6*w + 2*w**3 + 13*w**2 - 7*w**3 - w**j - 3*w**4 - 9 - w**3.
-3*(w - 1)**2*(w + 1)*(w + 3)
Find s, given that 0 + 360/7*s + 4/7*s**2 = 0.
-90, 0
Let u(j) be the second derivative of j**4/30 + 184*j**3/15 + 8464*j**2/5 - 781*j. Let u(r) = 0. What is r?
-92
Let i = 24/89 - 213/1780. Let h(f) be the second derivative of 1/12*f**4 + 0 + 0*f**2 + 0*f**3 + 4*f + 7/40*f**5 - i*f**6. Factor h(j).
-j**2*(j - 1)*(9*j + 2)/2
Let z(d) = -11*d**3 - 14*d**2 + 27*d + 9. Let m(f) = 5*f**3 + 7*f**2 - 14*f - 4. Let v(o) = 9*m(o) + 4*z(o). Factor v(g).
g*(g - 2)*(g + 9)
Let r = 72 - 52. Solve r*c**4 - 22*c**4 - c**3 + 3*c**3 = 0.
0, 1
Let 8 - 16*b - 1069*b**2 + 520*b**2 + 539*b**2 = 0. What is b?
-2, 2/5
Factor 2/3*m**3 + 0 + 0*m - 22*m**2.
2*m**2*(m - 33)/3
Let u(z) = -2*z + 4. Let k be ((-2)/(-3))/(2/3). Let s(d) = d**2 - 4 + 3 + d - 2*d. Let b(v) = k*u(v) + 2*s(v). Solve b(p) = 0 for p.
1
Let o = 16 + -14. Factor -29*f - 18*f**2 + 19*f**o - 12 + 30*f.
(f - 3)*(f + 4)
Let a = -336543 + 85818671/255. Let o = -2/255 + a. Let 0*l + 6/5*l**2 + o*l**3 - 2/5 = 0. What is l?
-1, 1/2
Let w(r) be the first derivative of -r + 1/2*r**2 + 6 - 1/12*r**3. Suppose w(v) = 0. Calculate v.
2
Let k(n) = n**2 - 12*n - 16. Let g(a) = -2*a. Let i(b) = -12*g(b) + 4*k(b). Let i(j) = 0. What is j?
-2, 8
Let p(f) be the third derivative of -f**7/1260 + f**6/45 - 4*f**5/15 + f**4/24 - 3*f**2. Let q(z) be the second derivative of p(z). Suppose q(r) = 0. What is r?
4
Suppose q = 11 - 9. Suppose -6*c + 5*c + q = 0. What is l in 14/3*l**3 + 12*l**c + 40/3*l + 16/3 + 2/3*l**4 = 0?
-2, -1
Let t = 28 - 24. Suppose -2*l - 11 = 5*u, t*l = -0*l + 2*u + 14. Factor 4 - 2*i + i**l + i**2 - 8.
2*(i - 2)*(i + 1)
What is y in 11/5*y + 42/5 - 1/5*y**2 = 0?
-3, 14
Let n(f) = 7*f**3 + 16*f**2 + 13*f + 3. Let y(m) = -29*m + 48*m**2 + 8 - 10*m + 20*m**3 + 79*m. Let x(k) = -8*n(k) + 3*y(k). Factor x(r).
4*r*(r + 2)**2
Factor 4*l**2 - 42*l - 2*l**2 - 2 + 80*l - 3*l**2 - 41*l.
-(l + 1)*(l + 2)
Let c(d) be the third derivative of -d**8/420 + 4*d**7/75 + 31*d**6/150 + 16*d**5/75 + 100*d**2. Suppose c(u) = 0. What is u?
-1, 0, 16
Let g(l) be the first derivative of l**6/15 - l**5/10 - l**4/6 + l**3/3 + 31*l - 25. Let i(f) be the first derivative of g(f). Factor i(c).
2*c*(c - 1)**2*(c + 1)
Determine y so that 22 + 27*y - 10*y + 37*y**3 - 36*y**3 - 11*y + 50 - 13*y**2 = 0.
-2, 3, 12
Factor -18/11 - 38/11*a**2 + 6*a + 6/11*a**3.
2*(a - 3)**2*(3*a - 1)/11
Let a(p) be the first derivative of 0*p**4 - 5/2*p**2 - 1/20*p**5 + 1 + 0*p**3 + 0*p. Let f(b) be the second derivative of a(b). Let f(o) = 0. What is o?
0
Factor 64*c + 96*c**2 + 8*c**4 - 2474 - 60*c**3 + 2474.
4*c*(c - 4)**2*(2*c + 1)
Factor 4*j**4 - 7*j**3 + 4*j**2 + 2*j + 8*j**2 + 19*j**3 + 2*j.
4*j*(j + 1)**3
Solve 0*g + 0 - 4*g**2 - 2/3*g**3 = 0.
-6, 0
Let o(m) be the third derivative of 0*m**4 + 0*m + 0*m**6 - 5/672*m**8 + 0*m**3 - 1/84*m**7 + 0 + 0*m**5 + 11*m**2. Factor o(r).
-5*r**4*(r + 1)/2
Suppose -123*w = -58*w - 66*w. Determine b, given that 0 + 0*b**3 + w*b - 1/4*b**4 + 1/4*b**2 = 0.
-1, 0, 1
Let g = 2291/10 - 229. Let r(q) be the first derivative of -4 + 0*q + 4/15*q**3 + 0*q**2 - g*q**4. Solve r(v) = 0.
0, 2
Factor -2/7*t**2 + 26/7*t - 24/7.
-2*(t - 12)*(t - 1)/7
Solve 64*m + 1/4*m**2 + 4096 = 0 for m.
-128
Let c(l) = -2*l**3 + 15*l**2 + 2. Let d be c(11). Let j be d/(-884) - 1/4. Factor j*g + 18/17 + 2/17*g**2.
2*(g + 3)**2/17
Let i = 43 - 49. Let f(l) = 9*l**2 + 12*l + 9. Let d(a) = 8*a**2 + 12*a + 9. Let t(g) = i*d(g) + 5*f(g). Factor t(p).
-3*(p + 1)*(p + 3)
Let x = 999538/281115 - 2/31235. Find k such that 16/9*k + x + 2/9*k**2 = 0.
-4
Let t(y) be the first derivative of -y**6/2 - 3*y**5/5 + 9*y**4/2 + 329. Find r, given that t(r) = 0.
-3, 0, 2
Factor 2/9*f**2 + 2/9 - 4/9*f.
2*(f - 1)**2/9
Let c(u) be the first derivative of -u**6/42 + u**5/35 + 15*u**4/28 + 23*u**3/21 + 5*u**2/7 + 119. Suppose c(n) = 0. Calculate n.
-2, -1, 0, 5
Let s(w) = -200*w**2 + 45*w + 440. Let k(r) = 9*r**2 - 2*r - 20. Let i(m) = 45*k(m) + 2*s(m). Factor i(t).
5*(t - 2)*(t + 2)
Let k be 9 - (0 - 31581/(-3510)). Let h(d) be the third derivative of 0*d**3 + 0 + 10*d**2 - 1/78*d**4 + k*d**5 + 0*d. Suppose h(u) = 0. Calculate u.
0, 2
Let f(x) be the second derivative of -21*x**5/20 + 27*x**4/8 - 3*x**3 - 3*x**2/4 + 3*x - 36. Factor f(q).
-3*(q - 1)**2*(14*q + 1)/2
Let m(s) = 6*s**3 - 16*s**2 - 18*s + 7. Let w(x) = x**3 - x**2 - x - 2. Let i(c) = 5*m(c) - 35*w(c). Factor i(k).
-5*(k - 1)*(k + 3)*(k + 7)
Let h(m) be the first derivative of -2 - 1/30*m**4 - 1/300*m**5 + 0*m**2 + 1/900*m**6 + 0*m + m**3. Let u(n) be the third derivative of h(n). Factor u(i).
2*(i - 2)*(i + 1)/5
Let o(r) be the first derivative of r**6/1260 + r**5/84 + r**4/21 - 14*r**3/3 + 9. Let v(n) be the third derivative of o(n). Determine b so that v(b) = 0.
-4, -1
Let x be (1 - -2 - 2) + -2 + 1. Let b be (-112)/308 - 23/(-33). Let j**3 + x + b*j - j**2 - 1/3*j**4 = 0. What is j?
0, 1
Suppose -2556 + 2586 = 5*v. Let o(t) be the first derivative of -3/4*t**4 + 0*t**2 + 2/3*t**3 - 5 + 0*t**5 + 1/6*t**v + 0*t. What is f in o(f) = 0?
-2, 0, 1
Suppose 5*h + 0*h - 70 = 0. Let p = h - 14. Factor 48 + 16 + 32*u + p*u + 4*u**2.
4*(u + 4)**2
Suppose -2*s = s - 9. Suppose l - 4*v + 2 = v, -v = 3*l - 58. Factor 13*k**3 + 12*k - 1 - 4*k**s + 3*k**3 + 3*k**4 + 4 + l*k**2.
3*(k + 1)**4
Let c(p) be the first derivative of p**4/6 + 26*p**3/3 + 169*p**2 + 4394*p/3 - 54. Let c(z) = 0. What is z?
-13
Let o(f) be the second derivative of f**7/840 - f**6/360 - f**5/30 + f**4/6 - 3*f**3/2 + 20*f. Let k(c) be the second derivative of o(c). What is m in k(m) = 0?
-2, 1, 2
Let d(q) be the third derivative of 0*q**4 + 1/24*q**5 - 4*q**2 + 0 - 7*q + 0*q**3 + 1/480*q**6. Suppose d(m) = 0. What is m?
-10, 0
Let c be (3/3 - 3) + (-574)/(-205). Suppose 2*h**3 + c*h**2 + 0*h + 0 - 4/5*h**4 - 2*h**5 = 0. Calculate h.
-1, -2/5, 0, 1
Let m(r) be the first derivative of -r**5/210 + r**4/42 + r**3/7 + 11*r**2/2 + 7. Let p(b) be the second derivative of m(b). Factor p(o).
-2*(o - 3)*(o + 1)/7
Let u(s) be the second derivative of -11*s**3/6 - 3*s**2/2 + 5*s. Let n be u(-4). Determine b so that -40 - 21*b**2 - n*b + 13 - 3*b**3 - 4*b = 0.
-3, -1
Factor 45/2*f + 3/4*f**3 + 33/4*f**2 + 0.
3*f*(f + 5)*(f + 6)/4
Suppose g - 20 + 4 = 0. Let j be 124/g - (-11)/(-44). Factor -3/2*q**4 + 3*q + 0 + 6*q**3 - j*q**2.
-3*q*(q - 2)*(q - 1)**2/2
What is o in -33/4*o**2 - 3/4*o**3 + 3/4*o + 33/4 = 0?
-11, -1, 1
Let k(a) be the second derivative of -a**6/6 - 5*a**5/2 + 10*a**4 - 445*a. Factor k(n).
-5*n**2*(n - 2)*(n + 12)
Let q be -2 + 