m(w). Factor u(l).
2*l*(l - 1)**2*(l + 2)**2
Let s(d) be the first derivative of 0*d - 18 - 1/5*d**2 + 2/25*d**5 - 3/10*d**4 + 2/5*d**3. Find m such that s(m) = 0.
0, 1
Suppose -k + 2 = -2*o + 4, 3*o = 9. Let a(n) be the third derivative of n**3 - 1/70*n**7 + 3/40*n**6 - 1/20*n**5 - 3/8*n**k + 0*n + 0 + 2*n**2. Factor a(c).
-3*(c - 2)*(c - 1)**2*(c + 1)
Let o(l) be the first derivative of 2/5*l**3 - 1/10*l**4 + 0*l - 2 - 2/5*l**2. Solve o(c) = 0 for c.
0, 1, 2
Let i(z) = 43*z**3 - 35*z**2 - 19*z + 21. Let v(c) be the first derivative of 11*c**4/2 - 6*c**3 - 5*c**2 + 10*c - 7. Let p(n) = -2*i(n) + 5*v(n). Factor p(r).
4*(r - 1)*(2*r - 1)*(3*r + 2)
Let m(o) = -20*o**2 - 27 + 40*o + o**2 - 18 + 4*o**2. Let c(v) = -23*v**2 + 60*v - 68. Let f(s) = -5*c(s) + 8*m(s). Suppose f(l) = 0. What is l?
2
Let h(m) be the second derivative of -35*m**4/36 - 5*m**3/2 - 5*m**2/3 + 2*m - 19. Factor h(o).
-5*(o + 1)*(7*o + 2)/3
Let g be (1298 - -3)*(-2)/(-14). Let i = g - 185. Solve -3/7*m**2 + 0 + i*m = 0.
0, 2
Let y = -27398/5 + 5480. Factor 0*h + 0 - y*h**3 + 2/5*h**2.
-2*h**2*(h - 1)/5
Let m be (-6)/33 + ((-18)/165)/(18/(-30)). Factor 2/3*a - 5/3*a**4 + 1/3*a**5 - 7/3*a**2 + 3*a**3 + m.
a*(a - 2)*(a - 1)**3/3
Let f(k) = -13*k**2 - 16*k - 15. Let i(o) = -11*o**2 - 15*o - 14. Let l(g) = -5*f(g) + 6*i(g). Factor l(z).
-(z + 1)*(z + 9)
Let k(g) = -10*g**4 - 19*g**3 + 34*g**2 + 11. Let v(l) = -l**4 - l**3 + 2*l**2 + 1. Let n(q) = -2*k(q) + 22*v(q). Let n(x) = 0. What is x?
0, 2, 6
Let -308 - 66*v + 146 + 701 + v**2 + 550 = 0. Calculate v.
33
Let o = 1/11621 + 69715/127831. Factor 2/11*j**2 + o - 2/11*j**3 + 10/11*j.
-2*(j - 3)*(j + 1)**2/11
Let c(a) be the second derivative of -a**5/15 - 34*a**4/9 - 130*a**3/9 - 64*a**2/3 - 518*a. Factor c(n).
-4*(n + 1)**2*(n + 32)/3
Let y(u) be the first derivative of 23 + 0*u - 5/4*u**4 + 0*u**2 + 0*u**5 + 5/6*u**6 + 0*u**3. Factor y(g).
5*g**3*(g - 1)*(g + 1)
Let z(x) be the first derivative of 3*x**4/32 + 37*x**3/2 + 879*x**2/16 + 219*x/4 + 268. Factor z(r).
3*(r + 1)**2*(r + 146)/8
Let p(j) be the third derivative of -j**8/336 + j**7/168 - 3*j**3/2 + 10*j**2. Let d(c) be the first derivative of p(c). Factor d(g).
-5*g**3*(g - 1)
Let m(j) be the second derivative of -j**8/4200 + j**7/700 - j**5/75 + 17*j**3/2 + 56*j. Let r(w) be the second derivative of m(w). Find c, given that r(c) = 0.
-1, 0, 2
Factor -2/13*g**2 + 0 + 164/13*g.
-2*g*(g - 82)/13
Let g(j) be the third derivative of j**11/22176 - j**10/7200 - j**9/20160 + j**8/2240 + j**5/5 - 17*j**2. Let b(a) be the third derivative of g(a). Factor b(t).
3*t**2*(t - 1)**2*(5*t + 3)
Factor 1/2*z**5 + 2/3 + 19/3*z**3 - 1/6*z - 4*z**2 - 10/3*z**4.
(z - 4)*(z - 1)**3*(3*z + 1)/6
Let y(z) = -3 + 2*z**2 + 8*z + 0*z**2 - z**2. Let u be y(-9). Solve -u*l**2 + 2*l**3 + 3*l - l + 2*l**2 = 0 for l.
0, 1
Suppose 503*l**5 - 100 + 52 - 1149*l**3 + 1114*l**5 - 1464*l**2 - 468*l + 1512*l**4 = 0. Calculate l.
-1, -4/11, -2/7, 1
Let m = 336 + -332. Let r be m/6*3/(-20)*-24. Suppose 3/5*j**4 + 12/5*j - r*j**3 + 9/5*j**2 - 12/5 = 0. Calculate j.
-1, 1, 2
Let c(k) = 4*k**3 + k**2. Suppose 9 + 3 = -2*y. Let r(u) = 3*u + 22. Let n be r(-6). Let a(b) = 3*b**3 + b**2. Let d(s) = n*c(s) + y*a(s). Factor d(v).
-2*v**2*(v + 1)
What is a in -5/2*a**3 + 10*a + 2 - 1/2*a**2 = 0?
-2, -1/5, 2
Let k be 1426/(-10) - (4 + (-69)/15). Let n = 1282/9 + k. What is c in 0 - 4/9*c - 10/9*c**2 - n*c**3 = 0?
-2, -1/2, 0
Let t(n) be the first derivative of -4*n**5/5 + 12*n**4 - 172*n**3/3 + 120*n**2 - 112*n - 26. Factor t(l).
-4*(l - 7)*(l - 2)**2*(l - 1)
Let c(u) be the third derivative of -7*u**2 - 1/60*u**5 + 0 - 1/4*u**4 + 0*u - 5/6*u**3. What is a in c(a) = 0?
-5, -1
Determine t so that -2/7*t**2 - 60/7 + 34/7*t = 0.
2, 15
Let o(q) = q**5 + q**4 - q - 1. Let v(p) = 2*p**5 + 2*p**4 + 8*p**3 - 6*p - 6. Let j(l) = -6*o(l) + v(l). Let j(k) = 0. Calculate k.
-2, 0, 1
Factor 0 - 1/3*u**3 - 4*u**2 + 13/3*u.
-u*(u - 1)*(u + 13)/3
Suppose 2 = -2*j - 0. Let l(h) = h**4 - h**3 - h**2 + 1. Let c(t) = 40*t**4 - 264*t**3 + 156*t**2 - 16*t - 24. Let i(y) = j*c(y) - 24*l(y). Factor i(m).
-4*m*(m - 4)*(4*m - 1)**2
Factor -15/7*f**3 - 9/7*f - 3*f**2 - 3/7*f**4 + 0.
-3*f*(f + 1)**2*(f + 3)/7
Suppose -p + 99 = -122. Let c = -211 + p. Let -14/3*f**2 + 2/3*f + 8/3*f**5 + 0 + c*f**3 - 26/3*f**4 = 0. Calculate f.
0, 1/4, 1
Let t(h) = -5*h**2 + 14*h + 48. Let u(k) = k**2 - 2*k - 8. Let w(d) = 6*t(d) + 34*u(d). Find q, given that w(q) = 0.
-2
Let z(d) be the third derivative of -d**8/1176 + 13*d**7/735 + 4*d**6/35 + 2*d**5/105 - 16*d**4/21 - 17*d**2. Find a, given that z(a) = 0.
-2, 0, 1, 16
Let u = -64 + 68. Determine m so that -m**4 + 18*m**2 + 4*m**3 + 2*m**u - 23*m**2 = 0.
-5, 0, 1
Suppose -6*g = -2*g + 2*x + 8, -5*g = 2*x + 9. Let p be (-1)/(-3) - (-3)/18 - g. Determine c so that -15/4*c**2 + 9/4*c**3 + p*c + 0 = 0.
0, 2/3, 1
Suppose -3*o - 15 = 0, 2*d - 43*o + 44*o = 1. Factor 4/3*r**d - 2/3*r**4 - 4/3*r + 0*r**2 + 2/3.
-2*(r - 1)**3*(r + 1)/3
Let f(a) be the second derivative of -a**7/168 + a**6/180 - 13*a**3/6 - 23*a. Let i(g) be the second derivative of f(g). Solve i(q) = 0.
0, 2/5
Let o = -629 - -632. Let v(i) be the third derivative of 0 + 0*i**5 + 1/40*i**6 + 0*i**4 + 0*i**o + 9/112*i**8 + 2*i**2 + 0*i + 3/35*i**7. Solve v(q) = 0 for q.
-1/3, 0
Let g(l) be the third derivative of l**6/240 + l**5/8 - l**4/3 + 59*l**2. What is u in g(u) = 0?
-16, 0, 1
Let c(i) = 12*i - 132. Let s be c(11). Let f(y) be the second derivative of 0 + 0*y**3 - 1/30*y**4 - 9*y - 1/50*y**5 + s*y**2. Determine w, given that f(w) = 0.
-1, 0
Factor 13*r**4 + 3*r**3 + 11*r**2 + 12*r**3 + 10*r**3 + 3*r**5 + 2*r - 6*r**3.
r*(r + 1)**2*(r + 2)*(3*r + 1)
Let s(o) be the third derivative of -4/15*o**5 + 19*o**2 + 0 - 5/6*o**4 + 0*o + 4*o**3. What is k in s(k) = 0?
-2, 3/4
Let f(y) be the second derivative of -y**4/78 + 34*y**3/13 + 257*y - 2. Solve f(i) = 0 for i.
0, 102
Let p(x) = x**2 - 10*x + 13. Let i be p(9). Factor -20*q**i + 25*q**5 - 10*q**3 - 7*q**3 + 21*q**3.
q**3*(5*q - 2)**2
Factor 303*c**2 - 3*c**5 - 356*c**2 + 323*c**2 + 81 + 33*c**4 - 138*c**3 - 243*c.
-3*(c - 3)**3*(c - 1)**2
Suppose 0 = -p - 3*p + 20, 3*p - 25 = -5*s. Factor -4 - 16*t**2 + 5*t**2 + 9*t**2 + 4*t + t**s.
-(t - 2)**2
Let m(x) be the second derivative of x**7/252 - x**6/60 - x**5/120 + x**4/24 - 89*x. Factor m(r).
r**2*(r - 3)*(r - 1)*(r + 1)/6
Let o(l) be the third derivative of 1/150*l**5 + 0 + 10*l**2 + 3/40*l**4 + 0*l - 1/15*l**3 - 3/200*l**6. Factor o(a).
-(a - 1)*(a + 1)*(9*a - 2)/5
Let k be (25/10 + -2)*(-5)/(-10). Let c(h) be the first derivative of 1/6*h**6 + 0*h + 2/3*h**3 + 0*h**2 - 2/5*h**5 - 9 - k*h**4. Suppose c(f) = 0. What is f?
-1, 0, 1, 2
Let w(z) be the third derivative of -z**4/6 + 13*z**3/2 + 84*z**2. Let m be w(9). Factor 4/7*b**2 + 0*b - 2/7*b**4 - 2/7 + 0*b**m.
-2*(b - 1)**2*(b + 1)**2/7
Let w = -227 - -230. Let 0 + 68/9*i**w + 10/3*i**2 + 14/3*i**4 + 4/9*i = 0. Calculate i.
-1, -1/3, -2/7, 0
Let p = 12/4099 - -40906/28693. Let 2*l**2 + 2/7*l**4 + p*l**3 + 0 + 6/7*l = 0. What is l?
-3, -1, 0
Suppose -8 = -277*n + 276*n, 2*w = -4*n + 38. Factor 2/3*h + 1/3*h**w + 0 - h**2.
h*(h - 2)*(h - 1)/3
Let r be (-9)/(-4) + (-9)/36. Suppose -23*f + 25*f = 0. Factor f*n + 0*n**2 + 0*n + n**r - 3*n.
n*(n - 3)
Let g be (((-2)/7)/((-1920)/(-420)))/(3/(-16)). Factor 8/3*y**2 + 2*y**4 + 0 - 5*y**3 + g*y**5 + 0*y.
y**2*(y - 1)**2*(y + 8)/3
Let c(x) be the second derivative of -1/6*x**4 - 1 - 25*x**2 - 32*x + 10/3*x**3. Find f, given that c(f) = 0.
5
Let j(d) = -d**3 + 9*d**2 + d - 13. Let s be j(9). Let b(n) = -45*n**2 + 51*n - 14. Let z(v) = -180*v**2 + 205*v - 55. Let y(k) = s*z(k) + 15*b(k). Factor y(l).
5*(l - 1)*(9*l - 2)
Let o(y) be the third derivative of -y**6/180 + y**5/150 + 8*y**4/45 + 4*y**3/15 + 530*y**2. Find p such that o(p) = 0.
-2, -2/5, 3
Let g(p) be the first derivative of -2*p**3/9 + 2*p**2 + 14*p/3 + 10. Factor g(i).
-2*(i - 7)*(i + 1)/3
Let l(p) = 9*p**4 + 34*p**3 - 23*p**2 + 2*p - 4. Let k(j) = 45*j**4 + 172*j**3 - 115*j**2 + 9*j - 22. Let w(c) = -2*k(c) + 11*l(c). Factor w(q).
q*(q + 4)*(3*q - 1)**2
Factor -150/7 + 153/7*c - 3/7*c**2.
-3*(c - 50)*(c - 1)/7
Suppose -2*l - l = -q - 6, 2*l - 24 = 4*q. Let k be (25/(-15) - 34/q) + -1. Solve 1/3*z**k - 2/3