m) be the third derivative of k(m). Factor i(s).
-(s - 3)**2
Let n(m) be the third derivative of 1/160*m**6 + 0*m**3 + 0 + 0*m + 6*m**2 + 0*m**4 - 1/40*m**5. Factor n(v).
3*v**2*(v - 2)/4
Let z(b) be the first derivative of -4/3*b**2 - 8/3*b - 29 - 2/9*b**3. Solve z(s) = 0 for s.
-2
Let y(z) = z - 1. Let b be y(3). Factor -4*r + r - 2*r**3 + 7*r + b*r**2.
-2*r*(r - 2)*(r + 1)
Let j(v) be the first derivative of 3*v**5/40 + 3*v**4/4 + 13*v**3/8 + 9*v**2/8 + 86. Factor j(p).
3*p*(p + 1)**2*(p + 6)/8
Let l(a) be the second derivative of a**8/672 - a**7/112 + a**6/72 + 4*a**3/3 - 18*a. Let j(g) be the second derivative of l(g). Suppose j(t) = 0. Calculate t.
0, 1, 2
Let s(m) be the second derivative of -m**7/84 - 19*m**6/60 - 33*m**5/20 - 47*m**4/12 - 61*m**3/12 - 15*m**2/4 - 122*m. Factor s(n).
-(n + 1)**4*(n + 15)/2
Let u be 824/(-52) + (-176)/(-11). Determine w, given that -2/13*w**3 + 6/13 + u*w - 6/13*w**2 = 0.
-3, -1, 1
Suppose 4*y = -2*h + 20, -5*y = 82*h - 84*h - 25. Factor 1/6*k**2 + h + 0*k + 5/12*k**3 + 1/12*k**5 + 1/3*k**4.
k**2*(k + 1)**2*(k + 2)/12
Let p(a) be the first derivative of -a**7/280 + 3*a**5/40 + a**4/4 - 38*a**3/3 + 44. Let x(q) be the third derivative of p(q). Let x(c) = 0. Calculate c.
-1, 2
Let c be ((52/2400)/13)/2. Let n(j) be the third derivative of 13*j**2 + 0*j**4 + 0*j**5 + 0 + c*j**6 + 0*j + 0*j**3. Solve n(y) = 0 for y.
0
Let c be 2 - (-6 + (98 - 0)). Let m be (-8)/(-45) + (-20)/c. Suppose -2/5*t**2 - m + 4/5*t = 0. What is t?
1
Let r(m) = -12*m**3 - 2*m - 3. Let w be r(-1). Let i(y) be the first derivative of -3*y**2 + 4/3*y**3 + 0*y + w + 1/2*y**4. Factor i(v).
2*v*(v - 1)*(v + 3)
Let j(m) be the third derivative of -m**8/112 + 9*m**7/70 + 11*m**6/20 + m**5/10 - 21*m**4/8 - 11*m**3/2 - 136*m**2. Solve j(q) = 0.
-1, 1, 11
Let o(m) = m**2 + 5*m - 6. Let c(u) be the third derivative of u**5/20 + 7*u**4/12 - 17*u**3/6 - 15*u**2. Let j(l) = 4*c(l) - 11*o(l). What is s in j(s) = 0?
-2, 1
Find s such that -20*s**2 - 3591*s**4 - 10*s**5 + 3596*s**4 + 11*s**5 - 4*s**3 = 0.
-5, -2, 0, 2
Let 12*n**4 + 2781*n**3 + 6*n**4 - 2767*n**3 = 0. Calculate n.
-7/9, 0
Let k(x) be the second derivative of 2*x**4/15 + 13*x**3/15 + 2*x**2 + 4*x. Factor k(n).
2*(n + 2)*(4*n + 5)/5
Suppose -3*h + 0*h + 66 = 0. Suppose h = 2*l - 4*k, 26 = l + 2*k - 7*k. Factor -3*c**2 - 4 + 9*c - l - 1.
-3*(c - 2)*(c - 1)
Let j(o) be the third derivative of 0 + 2*o**2 + 1/350*o**7 - 1/100*o**5 + 0*o + 0*o**3 - 1/560*o**8 + 0*o**4 + 1/200*o**6. Factor j(k).
-3*k**2*(k - 1)**2*(k + 1)/5
Let z(p) be the first derivative of p**6/24 + p**5/12 - 5*p**4/12 - 4*p**2 - 2*p - 47. Let v(h) be the second derivative of z(h). Factor v(s).
5*s*(s - 1)*(s + 2)
Let z = 6731/26828 - 6/6707. Factor -a**2 + 0 - 2*a + z*a**4 + 1/2*a**3.
a*(a - 2)*(a + 2)**2/4
Suppose -5*y - 3 - 22 = 0. Let q(s) = -5*s**2 + 7*s + 7. Let a(f) = 3*f**2 - 5*f - 5. Let m(j) = y*q(j) - 7*a(j). Let m(p) = 0. What is p?
0
Let y(z) = 8 + 4 + z**2 - 6 - z. Let v be y(0). What is q in -10 + q**3 + 6*q**2 + 5 + v + 3*q - 3*q**2 = 0?
-1
Let w(i) be the first derivative of 2/9*i**3 - 1/27*i**6 + 8 + 0*i + 2/9*i**2 - 1/18*i**4 - 2/15*i**5. Let w(n) = 0. Calculate n.
-2, -1, 0, 1
Let h(m) be the second derivative of 0 - 28*m + 2*m**3 + 1/12*m**4 + 11/2*m**2. Factor h(a).
(a + 1)*(a + 11)
Let o(n) = n + 8. Let z be o(-8). Suppose 3*t + 5*y = -11, -13 - 15 = -4*t + 4*y. Factor z*q + 0*q**t + 0 + 0*q**2 - 1/4*q**4.
-q**4/4
Let t = -14540 - -14543. Suppose -2*c**2 - 8/5*c - 2/5*c**t + 0 = 0. Calculate c.
-4, -1, 0
Suppose y - 1 = q - 7, 6 = -3*q - 3*y. Determine x so that -3*x**2 + 2 + 156*x + 2*x**q - 157*x = 0.
-2, 1
Suppose 860/3*z + 2/3*z**2 + 92450/3 = 0. What is z?
-215
Let q(r) be the second derivative of 1/3*r**3 + 3/2*r**2 - 1/12*r**4 - 6*r + 0. Determine n so that q(n) = 0.
-1, 3
Let d(t) be the second derivative of -t**6/360 - t**5/30 - t**4/6 + 7*t**3/6 + 16*t. Let o(x) be the second derivative of d(x). Determine r so that o(r) = 0.
-2
Factor 1/3*n**4 + 0*n + 0 + 8/3*n**3 + 7/3*n**2.
n**2*(n + 1)*(n + 7)/3
Let c be (4/30)/(9/30). Let y be (12/(-21))/((-216)/420). Determine m so that y*m + c*m**2 + 4/9 = 0.
-2, -1/2
Let o = 4117/5 - 45572/55. Let k = -5 - o. Factor 0*i + 0 - k*i**3 + 2/11*i**4 - 4/11*i**2.
2*i**2*(i - 2)*(i + 1)/11
Suppose -17 = z - 6*u + u, -3*z = 5*u - 29. Find q such that -53*q**3 + 16*q**z - 4*q - 6*q**2 + 22*q**3 + 13*q**3 = 0.
-2, -1, 0
Suppose 4*j - 24 = -8. Factor -8*q**2 + 4*q**2 + 181*q**4 - 177*q**j.
4*q**2*(q - 1)*(q + 1)
Let u(x) be the first derivative of 2*x**5/35 - 188*x**4/7 + 35344*x**3/7 - 3322336*x**2/7 + 156149792*x/7 + 234. Factor u(t).
2*(t - 94)**4/7
Find q such that 0 - 2/11*q**5 - 10/11*q + 12/11*q**3 + 8/11*q**2 - 8/11*q**4 = 0.
-5, -1, 0, 1
Suppose 0 = -4*f - 4, -3*m + 9 + 40 = 5*f. Factor -6 - 60*j + 31*j**2 - 10*j**2 + 37*j**2 + m*j**3 - 10.
2*(j - 1)*(j + 4)*(9*j + 2)
Suppose 6 + 33*d**4 - 7*d - 30*d**2 + 3*d**4 + 6*d**3 + 46*d**3 - 9*d**5 - 20*d + 4 = 0. What is d?
-1, 1/3, 2/3, 5
Let d be (1440/(-532))/(-4) + 0 - 38/361. Factor -4/7*y**3 + 0 + 8/7*y - d*y**2.
-4*y*(y - 1)*(y + 2)/7
Suppose 5 = 6*z - 7. Factor -4*s**3 + 6*s + 2*s - 7*s**z + 4*s - s**2.
-4*s*(s - 1)*(s + 3)
Let i = 87 - 82. Suppose 3*v + 0*v - 2*d = 6, 4 = 2*v - i*d. Factor 4/3*u**2 + 0*u + 2/3*u**4 + 0 - v*u**3.
2*u**2*(u - 2)*(u - 1)/3
Find p, given that 12/5*p**4 - 16/5*p**3 + 16/5 + 16/5*p - 28/5*p**2 = 0.
-1, -2/3, 1, 2
Solve 1/5*y**5 + 5*y**4 - 194/5*y**2 + 169/5 + 142/5*y**3 - 143/5*y = 0.
-13, -1, 1
Let v(u) be the third derivative of -u**7/280 - 7*u**6/80 + 3*u**5/80 + 5*u**4/4 - 7*u**3/2 + 595*u**2 + u. Let v(o) = 0. What is o?
-14, -2, 1
Let g(r) be the third derivative of 5/2856*r**8 + 5/204*r**4 + 9*r**2 - 1/51*r**3 - 1/1785*r**7 + 0 + 0*r - 1/102*r**6 + 1/255*r**5. Solve g(j) = 0 for j.
-1, 1/5, 1
Let n(d) = -8*d**4 + 100*d**3 - 627*d**2 + 977*d + 1721. Let t(c) = c**4 - c**2 + c - 2. Let l(s) = -n(s) - 3*t(s). Determine p so that l(p) = 0.
-1, 7
Factor 31*v - 812*v**3 - 11 + 137*v**4 - 488*v**3 - 195*v - 12*v**4 - 810*v**2.
(v - 11)*(5*v + 1)**3
Let y = -60 + 64. Factor 6*p**2 - y*p**3 + 39*p - 12*p - 20*p - 11*p + 1 + p**4.
(p - 1)**4
Let u(x) be the first derivative of x**5/80 - x**4/48 - x**3/12 + 12*x + 6. Let r(h) be the first derivative of u(h). Suppose r(g) = 0. What is g?
-1, 0, 2
Let g(f) be the third derivative of -f**8/672 - f**7/84 - f**6/30 - f**5/30 + 4*f**2 + 3. Factor g(q).
-q**2*(q + 1)*(q + 2)**2/2
Let i(t) be the first derivative of -t**6/720 - t**5/120 - 37*t**3/3 + 14. Let h(m) be the third derivative of i(m). Factor h(c).
-c*(c + 2)/2
Find i such that -499*i - 84 + 45*i**2 - 536*i + 3*i**3 + 1071*i = 0.
-14, -2, 1
Solve -12*j**2 - 4/3*j + 52/3*j**3 - 20/3*j**4 + 8/3 = 0.
-2/5, 1
Suppose 8 + 2 = 5*i. Suppose 2*x**5 + 2*x**4 + x**4 - 3*x**3 - x - 4*x**i + x**4 + 2*x**5 = 0. Calculate x.
-1, -1/2, 0, 1
Let p be 217/(-1456)*4 - 1/(28/(-21)). Let -4/13 + 2/13*l**2 - p*l = 0. What is l?
-1, 2
Let v(i) be the first derivative of -1/9*i**3 - 1/6*i**2 + i - 1 - 1/36*i**4. Let r(x) be the first derivative of v(x). Factor r(u).
-(u + 1)**2/3
Let p(d) be the second derivative of d**6/6 + 8*d**5/5 + 13*d**4/3 + 8*d**3/3 + 8*d + 9. Let p(n) = 0. What is n?
-4, -2, -2/5, 0
Suppose -76 = -k - 37. Factor -8 - 6*f + 111*f + 0*f**3 + k*f**2 + 3*f**3 - 139.
3*(f - 1)*(f + 7)**2
Solve -1/3*d**4 + 0 - 10/3*d**3 - 11*d**2 - 12*d = 0 for d.
-4, -3, 0
Let y be ((-6)/(-4))/((-3)/(-6)). Let o be 4/y - 24/(-36). Determine g so that g**5 + o*g**2 + 6*g**2 - 8*g**4 - 5*g**5 + 4*g = 0.
-1, 0, 1
Let t(m) = -m**5 + 64*m**4 + 136*m**3 - 15*m**2 - 147*m - 59. Let n(w) = -w**5 + 2*w**3 - w**2 - w - 1. Let y(d) = -22*n(d) + 2*t(d). Let y(b) = 0. What is b?
-3, -2, -2/5, 1
Let b be 99/153*(-16)/(-88). Factor 66/17*c + b*c**5 - 92/17*c**2 - 18/17*c**4 + 60/17*c**3 - 18/17.
2*(c - 3)**2*(c - 1)**3/17
Let y(f) be the third derivative of 0*f - 2/3*f**4 + 32/15*f**3 + 10*f**2 + 8/75*f**5 + 0 - 1/150*f**6. Let y(m) = 0. Calculate m.
2, 4
Let x be (-9)/3*-9 - 0. Suppose x*f**3 + 20*f**4 - 12*f**3 - 15*f + 5 - 25*f**2 + 0 = 0. Calculate f.
-1, 1/4, 1
Suppose -2*x - 77 = -9*x. Find y, given that 10*y + x*y**2 - 10*y**2 + 4*y**2 = 0.
-2, 0
Suppose 21*p = 18*p + 6. Let y be ((-10)/8)/(p/(-8))