+ s(q). Factor g(m).
(m - 1)**2
Suppose m = 2*x + 6, 2*m - 7*m - 4*x = -2. Let d(p) be the third derivative of -1/90*p**5 + 0*p**3 + 0*p + 1/180*p**6 + 0*p**4 + 2*p**m + 0. Factor d(l).
2*l**2*(l - 1)/3
Let v(x) be the second derivative of x**6/45 - 2*x**5/15 - x**4/9 + 4*x**3/3 + 3*x**2 + x. Factor v(w).
2*(w - 3)**2*(w + 1)**2/3
Let i(x) be the third derivative of -x**8/2352 - x**7/245 - x**6/105 + 4*x**5/105 + 2*x**4/7 + 16*x**3/21 + 13*x**2. Factor i(b).
-(b - 2)*(b + 2)**4/7
Let x(p) be the third derivative of p**7/525 - p**6/100 + p**5/150 + p**4/20 - 2*p**3/15 - p**2. Determine w, given that x(w) = 0.
-1, 1, 2
Factor -m**3 - 7*m**2 + m**3 + 2*m + 6*m**3.
m*(2*m - 1)*(3*m - 2)
Let h(k) be the second derivative of -k**6/20 + k**5/5 - 7*k**4/24 + k**3/6 + 8*k. Solve h(r) = 0 for r.
0, 2/3, 1
Let b(w) = -w**4 - 3*w**3 - w**2 + 3*w - 2. Let t(i) = i**4 + 4*i**3 + 2*i**2 - 4*i + 3. Let n(o) = -3*b(o) - 2*t(o). Suppose n(d) = 0. Calculate d.
-1, 0, 1
Let n(d) = 7*d**3 + 14*d**2 + 17*d + 10. Let j(s) = 3*s**3 + 7*s**2 + 9*s + 5. Let l(g) = -5*j(g) + 2*n(g). What is c in l(c) = 0?
-5, -1
Determine g so that 0 - 1/2*g + 1/2*g**3 - 5/4*g**2 + 3/2*g**5 + 11/4*g**4 = 0.
-1, -1/2, 0, 2/3
What is c in -12/7*c - 4/7 - 4/7*c**3 - 12/7*c**2 = 0?
-1
Let o(b) be the first derivative of -1/9*b**6 + 0*b + 0*b**2 - 2/15*b**5 + 1 + 2/9*b**3 + 1/6*b**4. Let o(u) = 0. What is u?
-1, 0, 1
Let u = 18 - 18. Let b(z) be the second derivative of 0*z**2 + 0*z**4 + u - 1/18*z**3 + 1/60*z**5 - 2*z. Factor b(x).
x*(x - 1)*(x + 1)/3
Let k be (6/(-5))/((-6)/20). Let f(y) be the third derivative of 0*y - 7/360*y**6 + 0 - 2*y**2 - 1/24*y**k - 1/9*y**3 + 1/15*y**5. Factor f(t).
-(t - 1)**2*(7*t + 2)/3
Let y(p) be the second derivative of p**5/180 + p**4/24 + p**3/9 - p**2/2 - 3*p. Let r(t) be the first derivative of y(t). Factor r(w).
(w + 1)*(w + 2)/3
Let o(n) be the second derivative of -n**4/24 + n**3/12 - 3*n. Factor o(r).
-r*(r - 1)/2
Let m(n) be the second derivative of 7*n**4/3 - 52*n**3/3 - 16*n**2 - 2*n - 1. Determine l so that m(l) = 0.
-2/7, 4
Suppose -5*d = -3*d - 2. Suppose -d + 17 = 4*u. Factor -u*t**2 - 4*t**5 + 6*t**5 + 4*t**4 - 2*t + 0*t**2.
2*t*(t - 1)*(t + 1)**3
Determine l, given that -3*l + 2*l**2 - 5*l**2 + 12*l = 0.
0, 3
Let o(y) be the first derivative of -6*y**5/35 - 3*y**4/28 + 6*y**3/7 - 3*y**2/14 - 6*y/7 - 5. What is c in o(c) = 0?
-2, -1/2, 1
Let p = -20 - -11. Let r be 2/3 - 12/p. Find y such that 5*y**3 + 0*y**2 - 3*y**2 + y - 4*y**3 + 5*y**r = 0.
-1, 0
Let y(a) be the first derivative of -27*a**5/5 - 75*a**4/4 - 12*a**3 + 6*a**2 - 12. Factor y(u).
-3*u*(u + 1)*(u + 2)*(9*u - 2)
Let c(v) be the second derivative of 0 - 1/60*v**4 + 3/2*v**2 - 1/50*v**5 - 2*v + 0*v**3. Let a(p) be the first derivative of c(p). Solve a(k) = 0 for k.
-1/3, 0
Let a(x) be the third derivative of 1/330*x**6 + 1/165*x**7 + 0 + 3*x**2 - 7/330*x**5 + 0*x**3 + 0*x - 1/66*x**4. Solve a(k) = 0.
-1, -2/7, 0, 1
Let k be 4/14 + 4/(-14). Let l(r) be the third derivative of k*r**3 - 1/30*r**5 + 1/6*r**4 + 0 + 0*r + 2*r**2. Factor l(w).
-2*w*(w - 2)
Let d(g) be the second derivative of -g**6/90 + g**5/60 + g**4/9 - 2*g**3/9 + 10*g. Let d(s) = 0. Calculate s.
-2, 0, 1, 2
Let p = 0 - -16. Suppose 3 = -l + v, l + 2*v - p = -2*l. Factor b - 5*b**l + 3*b**2 - 4*b**4 + 6*b**4 - b**5.
-b*(b - 1)**3*(b + 1)
Let c be (-57)/1260 + 8/84. Let x(r) be the first derivative of 0*r**2 + 0*r**4 + 0*r + 0*r**3 + c*r**5 - 4 + 1/24*r**6. What is u in x(u) = 0?
-1, 0
Factor -113*z**3 - 4*z**2 - 3*z**4 - 3*z - 5*z**2 + 104*z**3.
-3*z*(z + 1)**3
Let z(x) be the first derivative of -1/10*x**4 - 1 + 2/5*x**3 - 3/5*x**2 + 2/5*x. What is v in z(v) = 0?
1
Suppose 46 = 9*g - 8. Let u(j) be the second derivative of 1/126*j**7 + 1/15*j**5 + 0*j**4 + 0*j**3 - 3*j + 0*j**2 + 2/45*j**g + 0. Factor u(p).
p**3*(p + 2)**2/3
Let h be (2/6)/(12/180). Suppose 5*y + 2*z - 1 - 5 = 0, -4*z - 18 = -h*y. Factor 2/9*q**y + 8/9 - 8/9*q.
2*(q - 2)**2/9
Factor 14 - 3 - 5*n**2 - 6 + 0 - 5*n + 5*n**3.
5*(n - 1)**2*(n + 1)
Let g(b) = -2*b + 5. Let y be g(1). Let n(o) be the third derivative of 1/21*o**y + 0 - o**2 + 0*o - 1/210*o**5 + 0*o**4. Solve n(p) = 0 for p.
-1, 1
Let a(j) = -12*j**4 - 18*j**3 + 9*j**2 + 15*j + 6. Let c(m) = -m**3 + 1. Suppose -2*i = -0*i - 6. Let b(z) = i*c(z) - a(z). Factor b(k).
3*(k - 1)*(k + 1)**2*(4*k + 1)
Let v be (-3)/(-9)*(0 - -27). Let k be (60/v)/((-2)/(-6)). Factor -20*z**3 - 10*z**4 - 7*z - 3*z - z**5 - k*z**2 - z**5 - 2.
-2*(z + 1)**5
Let j = -1 - -33. Let k = j - 30. Factor 2*z**4 - 16/5*z**3 + 4/5*z + 2/5*z**k + 0.
2*z*(z - 1)**2*(5*z + 2)/5
Let o(s) be the first derivative of 0*s**3 + 0*s - 1/60*s**5 + 2 - 1/24*s**4 - 3/2*s**2. Let u(t) be the second derivative of o(t). Factor u(x).
-x*(x + 1)
Let t(s) be the second derivative of 0 - 2*s - 1/42*s**4 + 0*s**2 + 0*s**3 + 2/35*s**5. Factor t(j).
2*j**2*(4*j - 1)/7
Let s(z) = 2*z**2 + 8*z + 6. Let y(d) = 6*d**2 + 23*d + 17. Suppose -1 = 3*v - 7, 3*v - 14 = 2*o. Let l(n) = o*y(n) + 11*s(n). What is c in l(c) = 0?
-1
Factor 9/7*z - 3/7*z**2 + 12/7.
-3*(z - 4)*(z + 1)/7
Suppose 22 = 4*r + 5*v - 0*v, 0 = 5*r + 2*v - 19. Factor -1/5*y**r + 1/5*y - 2/5*y**2 + 2/5.
-(y - 1)*(y + 1)*(y + 2)/5
What is r in -6 + 3*r + 24*r**3 - 12*r**3 + 3*r**2 + 3*r**2 - 15*r**3 = 0?
-1, 1, 2
Factor -4/13*i**3 - 8/13*i - 2/13 - 10/13*i**2.
-2*(i + 1)**2*(2*i + 1)/13
Solve s**2 + 0*s**2 - s**2 + 6 - 4*s - 2*s**2 = 0 for s.
-3, 1
Let o(x) be the second derivative of x**7/105 - x**6/75 - 3*x**5/50 + x**4/30 + 2*x**3/15 - 12*x. Determine w, given that o(w) = 0.
-1, 0, 1, 2
Let n(l) be the first derivative of l**4/24 + l**3/8 + l**2/8 - l + 3. Let u(p) be the first derivative of n(p). Factor u(o).
(o + 1)*(2*o + 1)/4
Let p(g) = g**3 + 16*g**2 + 13*g - 30. Let k be p(-15). Let 32*n**3 + 8*n**2 + k + 128/3*n**4 + 2/3*n = 0. Calculate n.
-1/4, 0
Let i(d) be the second derivative of -3*d - 1/30*d**6 + 1/20*d**5 + 0*d**2 + 0 + 0*d**3 + 1/6*d**4. Solve i(t) = 0.
-1, 0, 2
Solve 10 - 12 - 6*a**3 + 14*a**3 - 6*a = 0.
-1/2, 1
Let y = 5095/812 - 5/203. What is m in 1/4*m**2 + 1/4*m + 0 - 3*m**5 - y*m**4 - 13/4*m**3 = 0?
-1, -1/3, 0, 1/4
Let u(r) be the third derivative of r**7/10 - r**6/8 - 9*r**5/20 + 5*r**4/8 + r**3 - 13*r**2. What is q in u(q) = 0?
-1, -2/7, 1
Let u(x) be the second derivative of -x**2 - 4*x + 1/15*x**6 + 0 + 0*x**4 + 1/5*x**5 - 2/3*x**3. Suppose u(c) = 0. Calculate c.
-1, 1
Let v = -29051/54 + 538. Let f(s) be the third derivative of -v*s**4 + 0 - s**2 + 0*s - 1/270*s**5 - 1/27*s**3. Let f(g) = 0. Calculate g.
-1
Let j = -3 + 4. Let -2*y + y**3 + 2 - j - y**2 + y + 0*y = 0. Calculate y.
-1, 1
Suppose 7/5*c**2 + 0 + 2/5*c - 9/5*c**3 = 0. Calculate c.
-2/9, 0, 1
Let f(k) be the third derivative of 3*k**5/100 - k**4/40 - k**3/5 + 8*k**2. Suppose f(w) = 0. Calculate w.
-2/3, 1
Let q be -4 + 33*1/6. Let -1/2*x**3 - 1/2 - 3/2*x - q*x**2 = 0. What is x?
-1
Let i be 190/35 - (-2 - -5) - 2. Factor 0 + 3/7*y**5 + 0*y - i*y**4 - 3/7*y**3 + 3/7*y**2.
3*y**2*(y - 1)**2*(y + 1)/7
Let y(d) be the third derivative of -d**5/150 - d**4/30 - 13*d**2. Factor y(u).
-2*u*(u + 2)/5
Let o(a) be the second derivative of 2*a**7/105 + 2*a**6/25 + a**5/25 - a**4/5 - 4*a**3/15 - 29*a. Suppose o(r) = 0. What is r?
-2, -1, 0, 1
What is t in -4/3*t - 2 - 2/9*t**2 = 0?
-3
Let a(v) = 7*v**2 + 2*v + 1. Let x(m) = -3*m**2. Let y be 12/(-2 - 2) - 0. Let c(o) = y*a(o) - 6*x(o). Find s, given that c(s) = 0.
-1
Let n(j) be the third derivative of j**5/12 + 5*j**4/24 - 10*j**2. Factor n(r).
5*r*(r + 1)
Suppose 0 = -2*t - 4*j - 13 - 7, -5*t - 26 = 4*j. Let o(b) = 3*b**4 + 11*b**2 - b - 5. Let w(d) = -d**4 - 5*d**2 + 2. Let q(v) = t*o(v) - 5*w(v). Factor q(n).
-n*(n - 2)*(n + 1)**2
Factor 9/4*g**2 + 9/4*g**3 + 3/4*g**4 + 3/4*g + 0.
3*g*(g + 1)**3/4
Let s be (-224)/252*6/(-8). Determine r, given that -10/3*r**2 - s*r**4 + 0 + 8/3*r**3 + 4/3*r = 0.
0, 1, 2
Let s(a) = -a**2 + a + 5. Let b be s(0). Factor -f**4 + 3/4*f**3 + 1/4*f**b - f + f**2 + 0.
f*(f - 2)**2*(f - 1)*(f + 1)/4
Let i(q) be the second derivative of q**6/75 - 3*q**5/50 + q**4/10 - q**3/15 - 22*q. Factor i(d).
2*d*(d - 1)**3/5
Let s(n) be the first derivative of -2*n**3/3 - 4*n**2 - 8*n + 7. Factor s(x).
-2*(x + 2)**2
Let v(i) be the second de