d derivative of -1/36*z**4 + 0 + 1/9*z**3 - 4*z - k*z**2. Factor b(t).
-(t - 1)**2/3
Let g(v) = v**2 - 2*v - 1. Let q(a) = 76*a**2 + 20*a - 24. Let t(o) = -16*g(o) + q(o). Determine l, given that t(l) = 0.
-1, 2/15
Find j such that -45*j**2 + 48*j**2 - 2*j**4 - j**4 = 0.
-1, 0, 1
Suppose -3*b = l - 5*l + 13, b + 7 = 4*l. Let j = -1 - b. What is f in f**j + 1 - 3 + 1 + f - 1 = 0?
-2, 1
Factor -70/3*l**2 - 50/3*l - 22/3*l**3 - 2/3*l**4 + 0.
-2*l*(l + 1)*(l + 5)**2/3
Factor -4/5*k**2 - 2/5*k**4 - 6/5*k**3 + 0*k + 0.
-2*k**2*(k + 1)*(k + 2)/5
Let s = 8 - 6. Suppose -s*r + 4*n - 3*n - 5 = 0, r + 15 = 3*n. Determine y, given that 3*y**4 + r*y**3 - y + 5*y**3 + y**2 + 0*y = 0.
-1, 0, 1/3
Let q(k) be the third derivative of 1/8*k**4 - 1/40*k**6 - 1/210*k**7 + 0*k - 6*k**2 + 0 + 1/3*k**3 - 1/60*k**5. Factor q(s).
-(s - 1)*(s + 1)**2*(s + 2)
Let z(o) = -147*o**3 + 231*o**2 - 98*o + 12. Let w(j) = j. Let c(k) = 2*k**2. Let n be c(-1). Let u(s) = n*w(s) + z(s). Factor u(b).
-3*(b - 1)*(7*b - 2)**2
Let h be -8 + (-9)/((-18)/17). Let t be (-2)/8 - 6/(-8). Let -t - h*k**2 - k = 0. Calculate k.
-1
Let k = -36 + 36. Let t(s) be the third derivative of -s**2 - 1/30*s**4 + k + 1/150*s**5 + 0*s + 1/15*s**3. Determine i so that t(i) = 0.
1
Let i = 497/340 + -24/17. Let u(w) be the second derivative of 1/12*w**4 + 0 - 1/3*w**3 - 2*w + i*w**5 + 0*w**2. Determine g, given that u(g) = 0.
-2, 0, 1
Let y(l) be the first derivative of l**4 + 7. Let y(r) = 0. What is r?
0
Let g(u) = -12*u**2 - 64*u - 36. Let p(y) = -4*y**2 - 21*y - 12. Let f(o) = -5*g(o) + 16*p(o). Factor f(h).
-4*(h + 1)*(h + 3)
Let z(k) be the third derivative of -k**7/840 - k**6/180 + 2*k**3/3 + 2*k**2. Let f(g) be the first derivative of z(g). Factor f(m).
-m**2*(m + 2)
Factor -3*f**2 + 18*f - 16*f + 2*f**2.
-f*(f - 2)
Let r(j) be the second derivative of 1/18*j**4 + 0*j**2 + 1/126*j**7 - 1/18*j**3 + 0*j**5 - 1/45*j**6 + 0 + 3*j. Factor r(w).
w*(w - 1)**3*(w + 1)/3
Determine j so that 144 - j**2 - 124 - 4*j**2 = 0.
-2, 2
Let v = 2677/1786 - -1/893. Find q such that 15/8*q - v*q**2 - 3/8 = 0.
1/4, 1
Let l = -1126/7 + 162. Factor -8/7*d - 2/7*d**4 - 12/7*d**2 - 2/7 - l*d**3.
-2*(d + 1)**4/7
Let y be -1 - -1 - 4 - -4. Let c(j) be the third derivative of -4*j**2 + 0*j + 1/540*j**6 - 1/945*j**7 - 1/108*j**4 + 1/270*j**5 + 0*j**3 + y. Factor c(v).
-2*v*(v - 1)**2*(v + 1)/9
Let p(q) be the second derivative of -q**5/5 - 4*q**4 - 32*q**3 - 128*q**2 + 8*q. Factor p(a).
-4*(a + 4)**3
Let n be (21 + -18)/(66/4). What is s in 0 - n*s**3 - 2/11*s**4 + 2/11*s**2 + 2/11*s = 0?
-1, 0, 1
Let r(f) be the third derivative of f**7/2205 + f**6/420 + f**5/210 + f**4/252 - 21*f**2. Find o, given that r(o) = 0.
-1, 0
Let u(v) be the second derivative of -v**5/270 - v**4/54 + v**3/9 - v**2/2 + 6*v. Let d(t) be the first derivative of u(t). Find y, given that d(y) = 0.
-3, 1
Let b(z) be the first derivative of z**5 - 5*z**4/4 - 9. Factor b(d).
5*d**3*(d - 1)
Suppose -6*o - 2/9*o**3 - 6 - 2*o**2 = 0. Calculate o.
-3
Let t(p) be the first derivative of -p**6/90 - p**5/20 - p**4/12 - p**3/18 + 3*p - 2. Let v(q) be the first derivative of t(q). Factor v(j).
-j*(j + 1)**3/3
Let a(w) = -23 + 11*w**2 + 15*w**2 - 11 - 2*w**2 + 4*w. Let o(b) = -5*b**2 - b + 7. Let d(m) = -3*a(m) - 14*o(m). Factor d(i).
-2*(i - 2)*(i + 1)
Factor 0 + 6*n**2 - 2 - 2 - 18*n**2 - 16*n.
-4*(n + 1)*(3*n + 1)
Let u(c) be the second derivative of c**7/21 - c**6/15 - c**5/10 + c**4/6 - 5*c. Let u(r) = 0. What is r?
-1, 0, 1
Let c(v) = -v**2. Let p(g) = -2*g**2 + 5*g + 30. Let s(r) = -3*c(r) - p(r). Factor s(o).
5*(o - 3)*(o + 2)
Factor -2/7*d**2 + 2/7*d**4 - 4/7*d + 0 + 4/7*d**3.
2*d*(d - 1)*(d + 1)*(d + 2)/7
Let s be -2 - (-12 - (2 - 5)). Let g(w) be the second derivative of -109/40*w**5 - 2*w - 3/2*w**4 - 21/10*w**6 + 0 + 0*w**2 - 7/12*w**s - 1/3*w**3. Factor g(d).
-d*(d + 1)**2*(7*d + 2)**2/2
Let m be 33/(-55)*(-6 + 1). Solve -30*c**3 + 16*c**2 - 44*c**m - 18*c**5 + 0*c**2 + 68*c**4 + 8*c = 0.
-2/9, 0, 1, 2
Let v(n) = 6*n**2 - 2*n - 2. Let j be v(2). Suppose 2 = -2*s - 4*z + j, s + z - 9 = 0. Find k such that -6 - s*k + 24*k**2 + 3 - 1 = 0.
-1/4, 2/3
Let o = -7 - -9. Let d be -1*o*(-2)/10. Solve d + 18/5*t**2 - 12/5*t = 0.
1/3
Let i = -75 - -1201/16. Let a(k) be the third derivative of k**2 + i*k**4 + 0 - 1/120*k**5 + 0*k - 1/6*k**3. Factor a(s).
-(s - 2)*(s - 1)/2
Let a be 2/(-6) + -8*2/(-24). Let l = 32 - 95/3. Factor -a*f**2 + 0 - l*f.
-f*(f + 1)/3
Let s = -143/3 + 48. Let c be 4*(4/(-4))/(-3). Determine p so that -s*p**3 + 4/3*p**2 - c*p + 0 = 0.
0, 2
Suppose -11*b**3 - 3*b**3 + 44*b**2 - 56*b**3 - 8*b + 25*b**4 = 0. What is b?
0, 2/5, 2
Let h(x) be the second derivative of x**4/72 - x**3/18 + x**2/12 + 3*x. Factor h(w).
(w - 1)**2/6
Suppose -5*d - 2*u = 10, 3*d + 3*u = -2*d - 10. Let g be (3/d)/(9/(-4)). Factor 0*z + 0 + g*z**2 - 4/3*z**3 + 2/3*z**4.
2*z**2*(z - 1)**2/3
Let p(l) be the third derivative of -1/54*l**5 - 4/27*l**3 + 0 - l**2 - 2/27*l**4 - 1/540*l**6 + 0*l. Factor p(b).
-2*(b + 1)*(b + 2)**2/9
Let u be (-16)/(-48)*(2 + (-16)/20). Let -4/5 + 6/5*p - u*p**2 = 0. What is p?
1, 2
Factor 0 - 1/2*q - q**2 - 1/2*q**3.
-q*(q + 1)**2/2
Let h(r) be the third derivative of -1/12*r**4 + r**2 + 0 + 0*r**3 - 1/30*r**5 + 0*r. Let h(s) = 0. Calculate s.
-1, 0
Let w be 3/12 + 50/24. Factor -w*u**3 + 0 + 0*u - 2/3*u**2.
-u**2*(7*u + 2)/3
Let v(a) = -a**2 - 5. Let o(m) = -m**3 + m**2 + m + 1. Let d be -4 - -7 - (-4)/(-2). Let j(p) = d*v(p) + 3*o(p). Suppose j(f) = 0. Calculate f.
-1, 2/3, 1
Let i be 10/8*5/75. Let a(f) be the second derivative of 2*f**2 + 0 + 2/3*f**3 + f + i*f**4. Suppose a(r) = 0. Calculate r.
-2
Let a(q) be the second derivative of -q**6/9 + 4*q**5/15 - q**4/18 - 2*q**3/9 - 14*q. Factor a(p).
-2*p*(p - 1)**2*(5*p + 2)/3
Let h = -1/69 + -127/759. Let t = h + 36/77. Determine v so that -t*v**2 + 0 - 2/7*v**3 + 0*v = 0.
-1, 0
Let w = 305 + -203. Let x be 2*-2 + w/24. Factor 0 - x*f**2 + 0*f.
-f**2/4
Let l(j) = 103*j**2 - 56*j + 3. Let c(w) = 51*w**2 - 28*w + 2. Let d(n) = 2*n + 6. Let k be d(-4). Let q(p) = k*l(p) + 5*c(p). Factor q(r).
(7*r - 2)**2
Let z(o) be the first derivative of o**4/12 - o**3 + 9*o**2/2 - 4*o - 1. Let p(g) be the first derivative of z(g). Factor p(f).
(f - 3)**2
Suppose -3*q = -19 + 13. Suppose 0*f - 1/3*f**q + 1/3 = 0. What is f?
-1, 1
Suppose -28 = -3*u + 74. Suppose 2 - c**5 - 26*c**4 - 4*c**5 - 2*c**5 - u*c**3 - 5*c**2 - 11*c**2 + c = 0. What is c?
-1, 2/7
Let g(s) be the third derivative of -s**7/2520 + s**4/24 - 3*s**2. Let v(u) be the second derivative of g(u). Factor v(o).
-o**2
Let s(m) be the third derivative of -8*m**8/399 - 176*m**7/1995 - 9*m**6/95 - 5*m**5/114 - m**4/114 + 11*m**2. What is g in s(g) = 0?
-2, -1/4, 0
Factor -45*f + 5*f**4 + 14*f**2 + f**2 + 15*f**3 + 10*f**3.
5*f*(f - 1)*(f + 3)**2
Let 0*u + 6/5*u**5 - 14/5*u**3 + 0 - 4/5*u**4 - 4/5*u**2 = 0. Calculate u.
-1, -1/3, 0, 2
Let f = 1 - -1. Let y be -3 - 56/(-20) - (-61)/5. Factor -12 - 3*m**3 + y + 6*m**f - 3*m.
-3*m*(m - 1)**2
Let i(y) be the third derivative of -y**7/105 + y**5/30 - 7*y**2. Factor i(x).
-2*x**2*(x - 1)*(x + 1)
Let h be ((-2)/(-12))/(-1 + 36/32). Suppose 8/3*i**3 - 4/3*i**2 + h*i**4 - 2/3*i + 0 - 2*i**5 = 0. Calculate i.
-1, -1/3, 0, 1
Let n(c) be the second derivative of -1/3*c**4 + 1/3*c**3 + 0*c**2 - 3*c - 1/21*c**7 + 0*c**5 + 0 + 2/15*c**6. Factor n(j).
-2*j*(j - 1)**3*(j + 1)
Let x(n) = -n. Let a be x(-4). Suppose 3*k - 11 - 6 = -v, -4*k = -4*v + a. Let 10*q**2 + 2*q**4 + 4*q**3 - 4*q**4 - 8*q**4 - k*q = 0. What is q?
-1, 0, 2/5, 1
Factor -5*w**3 + w**2 - 4*w**5 - 10*w + 0*w**5 + 8*w**4 + 10*w.
-w**2*(w - 1)*(2*w - 1)**2
Let n be 6/(0 - (-27)/(-6))*-3. Factor -u**3 + 0*u + 0 + 1/5*u**2 + 4/5*u**n.
u**2*(u - 1)*(4*u - 1)/5
Factor 3/10*z**2 - 1/2*z**5 + 0*z - 11/10*z**3 + 0 + 13/10*z**4.
-z**2*(z - 1)**2*(5*z - 3)/10
Let o(h) be the second derivative of 1/20*h**5 + 0*h**3 + 0 + 1/12*h**4 + 0*h**2 + 2*h. Factor o(x).
x**2*(x + 1)
Let x be (-3)/2*(2 - 4). Suppose 0 = -2*n - 3*f - 7, 4*n + f - 14 = -3. Let 0 + 49/4*u**n + 0*u - u**2 + 49/4*u**5 - u**x = 0. What is u?
-1, -2/7, 0, 2/7
Determine q, given that -7*q**2 - q**3 - 3/2*q**5 + 3/2 + 5/2*q + 11/2*q**4 = 0.
-1, -1/3, 1, 3
Let l(m) be the third derivative of 1/3*m**3