ird derivative of 0 + 0*m**6 - k*m**2 + 0*m**4 - 1/210*m**5 + 0*m + 1/735*m**7 + 0*m**3. Factor n(z).
2*z**2*(z - 1)*(z + 1)/7
Let q(z) be the second derivative of -z**4/12 - 11*z**3/3 + 85*z**2 + 109*z. Let t be q(-28). Factor 4*j**4 + 0*j + 0*j**t + 0 - 4/3*j**3.
4*j**3*(3*j - 1)/3
Factor -85*j**2 + 23*j**3 - 49*j**3 + 21*j**3 - 75 - 155*j.
-5*(j + 1)**2*(j + 15)
Suppose 4*b = t + 8*b + 12, 2*t - b + 42 = 0. Let x be (2/(-4))/(t - -19). Determine p, given that -1/6*p**4 - x*p**3 - 1/2*p**2 - 1/6*p + 0 = 0.
-1, 0
Suppose -42*i = -39*i - 12. Let u(s) be the first derivative of -1/2*s**2 - 4/5*s**5 + 0*s - 1/6*s**6 - 4/3*s**3 - 3/2*s**4 - i. Factor u(b).
-b*(b + 1)**4
Let i be 16/(-6)*(123/(-20) + 6). Let v(k) = k + 6. Let y be v(-4). Solve 0*a**y + 2/5*a + 1/5*a**4 - 1/5 - i*a**3 = 0 for a.
-1, 1
Suppose 1/3*b**2 + 12 - 4*b = 0. What is b?
6
Let d(n) be the first derivative of 0*n**3 + 1/10*n**6 + 0*n**4 + 0*n - 15 + 0*n**2 + 3/25*n**5. What is j in d(j) = 0?
-1, 0
Let q(b) = -b**2 + 18*b + 65. Let d be q(21). Let j be (7/21)/(d/18). Factor -6*t + 12*t**2 - 9/2*t**j + 0.
-3*t*(t - 2)*(3*t - 2)/2
Let c = -24218/3 - -8294. Let j = -219 + c. Find p, given that 2/3*p**2 + 0 + 0*p + j*p**3 + 5/3*p**4 = 0.
-1, -2/5, 0
Let y(v) = -20*v**2 + 245*v. Let s(k) = 5*k**2 - 61*k. Let i(m) = -15*s(m) - 4*y(m). What is r in i(r) = 0?
0, 13
Let s(k) be the third derivative of -k**6/30 + k**5/3 + 4*k**4 + 765*k**2. Factor s(w).
-4*w*(w - 8)*(w + 3)
Suppose 3*i - 15 = -2*v, -26 = -5*i + 2*v - 1. Let x(j) = -j**2 - j - 6. Let f(z) = z + 6. Let l(r) = i*x(r) + 6*f(r). Determine c, given that l(c) = 0.
-1, 6/5
Let u(l) = 36*l - 12*l + l**2 - 19*l - 2. Let y(o) = 9*o + o + 0*o + 19*o + 6*o**2 - 11. Let p(q) = 34*u(q) - 6*y(q). Factor p(a).
-2*(a + 1)**2
Suppose 4*w + 5*i = 9*w + 5, 7 = 5*w - i. Let c be w*(-5)/(-20)*0. Factor 2/5*u**3 + c + 0*u**2 + 2/5*u**4 + 0*u.
2*u**3*(u + 1)/5
Factor 0*y**2 - 1/3*y**3 + 19*y + 56/3.
-(y - 8)*(y + 1)*(y + 7)/3
Let p(h) be the third derivative of -h**5/60 - 107*h**4/36 + 8*h**3 - 14*h**2 - 5. What is y in p(y) = 0?
-72, 2/3
Suppose -8/3*q + 4/3*q**2 - 1/3*q**4 + 0 + 2/3*q**3 = 0. What is q?
-2, 0, 2
Let g be (-7)/(-21) - (-11)/3. Suppose -3*y + 32 = c + g*c, -y - c = -8. Solve 31 - 69 - 8*n + y*n**3 + 38 + 4*n**2 = 0 for n.
-2, 0, 1
Let c(d) be the third derivative of 361*d**7/70 - 209*d**6/4 - 113*d**5/5 - 3*d**4 - 620*d**2. Factor c(o).
3*o*(o - 6)*(19*o + 2)**2
Factor -5*h**2 + 614 - 336*h + 16*h**2 - 7*h**2 - 614.
4*h*(h - 84)
Suppose 2*k = -0*k + 42. Let g be (-20)/(-35) + 30/k. Solve -12*n**3 + 18*n**5 + 0 + 0*n**4 - 16/3*n**g - 2/3*n = 0 for n.
-1/3, 0, 1
Let n(k) be the third derivative of -k**7/3360 + k**6/1440 + k**5/240 - 41*k**3/6 + 22*k**2. Let f(u) be the first derivative of n(u). Factor f(h).
-h*(h - 2)*(h + 1)/4
Let c be (-21)/((-2079)/44) - 26/180. Let j(g) be the first derivative of 1/5*g**3 - 6/5*g + 11 + c*g**2. Determine z, given that j(z) = 0.
-2, 1
Suppose 124 = 16*t + 92. Determine l so that 2/13*l**t + 12/13*l + 18/13 = 0.
-3
Let j(m) be the first derivative of -4*m**5/15 - 4*m**4/3 + 4*m**3/3 + 12*m**2 - 66. Factor j(p).
-4*p*(p - 2)*(p + 3)**2/3
Let f(i) be the first derivative of -5*i**6/6 + 5*i**5 - 10*i**4 + 20*i**3/3 + 145. Factor f(v).
-5*v**2*(v - 2)**2*(v - 1)
Factor 0 + 6/19*l - 2/19*l**3 + 4/19*l**2.
-2*l*(l - 3)*(l + 1)/19
Let i = 318 + -153. Find u such that -i*u**2 + 111*u**3 + 36*u**4 + 70*u**2 + 18 + 77*u**2 - 75*u = 0.
-3, -1, 1/4, 2/3
Let h(v) be the second derivative of v**5/30 - 8*v**4/9 + 29*v**3/9 - 14*v**2/3 + 82*v. Factor h(d).
2*(d - 14)*(d - 1)**2/3
Let j = 33 + -31. Find l, given that 28 + 23 - 5*l**j - 15*l - 61 = 0.
-2, -1
Let v(w) be the first derivative of -w**7/56 + w**6/72 + 11*w**3/3 + 9. Let k(q) be the third derivative of v(q). Factor k(z).
-5*z**2*(3*z - 1)
Let q be (-1 - 31/(-6))/((-460)/(-4600)). Find c such that 55/3*c**2 - 20/3 - q*c**4 + 50*c**3 - 20*c = 0.
-2/5, 1
Let g(y) be the third derivative of y**5/15 - y**4/3 + 6*y**2 - 4*y. What is j in g(j) = 0?
0, 2
Suppose -5*f = 2*y - 13, 3*f - 2 - 1 = 0. Suppose -3*g - 3*h - 2 = -g, 0 = 4*g + y*h. Suppose 4*w**4 - 4*w**g + 2*w**5 + 14*w**3 - 2*w - 14*w**3 = 0. What is w?
-1, 0, 1
Let z(n) = n**2 - 5*n - 3. Let y be z(7). Suppose y*t - 9*t = 0. Factor 0*f + t + 1/3*f**2.
f**2/3
Let i(p) be the second derivative of 0 - 11/2*p**3 + 1/4*p**4 + 0*p**2 + 22*p. Determine n, given that i(n) = 0.
0, 11
Let f(q) be the third derivative of 0 + 26*q**2 + 1/20*q**5 + q**3 - 3/8*q**4 + 0*q. Factor f(c).
3*(c - 2)*(c - 1)
Let r be 381/(-5) - (2 - (-24)/(-15)). Let j = r + 77. Let 6/5 + j*s**2 + 8/5*s = 0. Calculate s.
-3, -1
Let k = 23 - 27. Let m be -3 - (k + (1 - 5)). Determine w, given that w**3 - 8*w**2 + 9*w - m*w + 3*w**3 = 0.
0, 1
Factor -2/9 - 10/3*k + 22/3*k**2 - 34/9*k**3.
-2*(k - 1)**2*(17*k + 1)/9
Suppose 0 = g + g. Solve 14*o**4 + 4*o**3 - 14*o**2 + 4*o + 4*o + g*o**2 - 12*o**4 = 0 for o.
-4, 0, 1
Suppose l + 2*l + o = -9, -20 = 4*l + 4*o. Let v = 4 + l. What is s in -2*s + s**3 + s**3 - s**3 + s**v + 0*s**3 = 0?
-2, 0, 1
Let q(b) = 17*b**4 - 49*b**2 + 3*b + 61. Let d(n) = 8*n**4 - 24*n**2 + 2*n + 30. Let t(o) = -13*d(o) + 6*q(o). Factor t(f).
-2*(f - 2)**2*(f + 1)*(f + 3)
Let c(r) = 2*r**4 - 132*r**3 - 118*r**2 - 8*r + 8. Let p(z) = z**4 - 88*z**3 - 79*z**2 - 5*z + 5. Let l(a) = -5*c(a) + 8*p(a). Factor l(f).
-2*f**2*(f + 1)*(f + 21)
Let t = 110 + -107. Find b, given that 32*b + 0*b**t - 18*b**2 - 56*b - 3*b**3 = 0.
-4, -2, 0
Let g(a) be the second derivative of a**6/90 + 4*a**5/15 + 16*a**4/9 + 218*a. Let g(s) = 0. What is s?
-8, 0
Suppose -5*u - 19 = -3*a, -5*u + 3 = 4*a + 1. Factor 26*c - a*c**3 + 9*c**3 - 4*c**2 - 12*c - 12*c**2 - 4.
2*(c - 1)**2*(3*c - 2)
Let x(z) = -z**2 - 18*z + 4. Let q(i) = 2. Let r(y) = 2*q(y) - x(y). Factor r(j).
j*(j + 18)
Let a(t) be the third derivative of t**8/5040 + t**7/5040 - t**6/720 + 20*t**3/3 - 18*t**2. Let u(m) be the first derivative of a(m). Factor u(b).
b**2*(b - 1)*(2*b + 3)/6
Suppose -5*q + 380 = w + 368, -2*q - 3*w + 10 = 0. Factor -4/5*o**q - 8/5 - 12/5*o.
-4*(o + 1)*(o + 2)/5
Let x(l) be the second derivative of -5*l**4/12 + 65*l**3/6 + 35*l**2 + 35*l. Factor x(k).
-5*(k - 14)*(k + 1)
Suppose 2*s + 2*l + l = 22, -s = 4*l - 11. Suppose 29 + 15 = s*z. Factor 0*x + x**3 + 1/3*x**2 + 2/3*x**z + 0.
x**2*(x + 1)*(2*x + 1)/3
Let s(a) be the third derivative of a**7/1620 - 17*a**6/3240 + a**5/90 - a**4/3 - 5*a**2. Let m(o) be the second derivative of s(o). Factor m(h).
2*(h - 2)*(7*h - 3)/9
Let p(t) be the second derivative of -t**7/504 + 11*t**6/360 + 43*t**5/240 - 11*t**4/144 - 7*t**3/12 + 518*t. Let p(v) = 0. Calculate v.
-3, -1, 0, 1, 14
Let k(j) be the second derivative of j**5/4 + 25*j**4/12 + 5*j**3/3 - 20*j**2 + 2*j + 105. Solve k(b) = 0.
-4, -2, 1
Let u be (-2)/2*-2 - (-55 - -57). Let t(o) be the second derivative of 1/165*o**6 - 1/66*o**4 + u - 1/55*o**5 + 0*o**2 + 2/33*o**3 - 5*o. Factor t(w).
2*w*(w - 2)*(w - 1)*(w + 1)/11
Let o(s) = s**2 - s - 1. Let d(z) = -10*z**2 - 15*z + 34. Let f(a) = 2*d(a) + 18*o(a). Factor f(i).
-2*(i - 1)*(i + 25)
Let p(g) be the first derivative of -g**4/14 + 44*g**3/21 - 3*g**2 - 307. Let p(w) = 0. Calculate w.
0, 1, 21
Let f(w) = 14*w**3 + 13*w**2 - 8*w - 7. Let c(x) = 95*x**3 + 90*x**2 - 55*x - 50. Let h(r) = -3*c(r) + 20*f(r). Determine d, given that h(d) = 0.
-2, -1, 1
Let y(n) be the first derivative of -n**8/3360 + n**6/360 - n**4/48 + 5*n**3 - 1. Let f(u) be the third derivative of y(u). Factor f(q).
-(q - 1)**2*(q + 1)**2/2
Let a be ((-36)/48)/(165/(-352)). Suppose 3*o = -2*k + 8, 4*o + 0*o - 9 = -k. Let 6/5 + 14/5*b + a*b**o = 0. What is b?
-1, -3/4
Suppose 44 = 254*y - 243*y. Factor 1/2*c**y - 3/2*c**2 + c + 0*c**3 + 0.
c*(c - 1)**2*(c + 2)/2
Let w = -11 + 12. Suppose -n + 3 - w = -j, -6 = n - 5*j. Factor 1/7*k**5 + 0*k**2 + 2/7*k**n + 0 + 0*k + 0*k**3.
k**4*(k + 2)/7
Let i(s) = -27*s + 33. Let d be i(9). Let m be (-585)/d - 4/14. Let -1 - m*o + 7/2*o**2 = 0. What is o?
-2/7, 1
Let p(a) be the second derivative of -a**4/4 - 4*a**3 - 55*a. Factor p(u).
-3*u*(u + 8)
Let s be 4/6 + 7 + (-2370)/315. Let x(v) be the first derivative of -2 - 2/21*v**3 + 4/7*v + s*v**2. Find d such that x(d) = 0.
-1, 2
Let i(v) be the first deriva