- 258. Solve b(o) = 0.
-38, -2
Let g(t) be the first derivative of t**6/30 - 3*t**5/25 + t**4/10 + 2*t**3/15 - 3*t**2/10 + t/5 - 235. Factor g(h).
(h - 1)**4*(h + 1)/5
Suppose 4*w = 3*z + 5, -2*z + 3*w - 3 = 2. Suppose 0 = 5*l - x + 1 - 13, -z*x = l - 18. Factor 6*d**2 - 4*d**2 + 4 - d - 7*d + 3*d**2 - d**l.
-(d - 2)**2*(d - 1)
Let k(c) be the second derivative of 7*c**6/45 - 32*c**5/45 - c**4/2 + 82*c**3/27 + 8*c**2/3 + 71*c + 1. Suppose k(u) = 0. What is u?
-1, -2/7, 4/3, 3
Let k(u) = 5*u**2 + 40*u + 115. Let y(m) = m**2 + 8*m + 22. Let z(n) = -6*k(n) + 33*y(n). Let z(x) = 0. What is x?
-6, -2
Suppose -2*l + 3*l - 4 = 0. Let k be -7 + l + 3 - -2. Factor 4*g**4 + k*g**3 + 2*g**4 + 0*g**4 - 8*g**4.
-2*g**3*(g - 1)
Let t(u) be the third derivative of -3*u**6/380 + 44*u**5/285 + 5*u**4/57 - 3*u**2 + 6*u. What is n in t(n) = 0?
-2/9, 0, 10
Let a(g) be the first derivative of -g**6/780 + g**5/390 + g**4/78 + 4*g**2 - 7. Let q(y) be the second derivative of a(y). Find r such that q(r) = 0.
-1, 0, 2
Let v = 8142/5 + -1628. Solve -1/2*p**3 - 1/10*p**4 + 1/10*p**5 - v + 2/5*p + 1/2*p**2 = 0.
-2, -1, 1, 2
Let m(w) be the second derivative of w**6/45 - 23*w**5/30 + 20*w**4/3 + 16*w**3 + 4*w - 1. Factor m(n).
2*n*(n - 12)**2*(n + 1)/3
Suppose 5 + 1 = 2*w. What is t in -3*t**w + 5*t**2 - t**3 + 7*t**2 = 0?
0, 3
Let v(i) be the second derivative of i**5/20 - 5*i**4/18 - 23*i**3/18 - 5*i**2/3 + 36*i - 2. Factor v(p).
(p - 5)*(p + 1)*(3*p + 2)/3
Let k(b) = -b**5 + 5*b**4 + 3*b**3 - 5*b**2 + b. Let t(z) = -20*z**2 - z**3 + 37*z**2 - 16*z**2 - z**4. Let y(h) = k(h) + 3*t(h). Factor y(p).
-p*(p - 1)**3*(p + 1)
Find g, given that 236 + 230 + 5*g**2 - 10*g - 461 = 0.
1
Determine c, given that 69/8*c - 9 + 3/8*c**2 = 0.
-24, 1
Let h be ((-8)/(-32))/((-3)/(-6)). Let d(f) be the first derivative of -h*f + 1/8*f**4 + 1/6*f**3 - 1/4*f**2 - 4. Solve d(p) = 0.
-1, 1
Let k(f) be the third derivative of 1/6*f**4 + 0 + 0*f - 5*f**2 - 1/30*f**5 + f**3. Solve k(j) = 0 for j.
-1, 3
Let n(i) = i - 1367 + 1367 - i**2. Let c be ((-3)/(-1))/(-3) + 2. Let u(x) = 8*x**2 - 4*x - 4. Let b(o) = c*u(o) + 4*n(o). Factor b(r).
4*(r - 1)*(r + 1)
Let q(p) be the second derivative of p**7/504 - 13*p**6/72 + 169*p**5/24 - 43*p**4/12 - 18*p. Let a(g) be the third derivative of q(g). Factor a(i).
5*(i - 13)**2
Determine h so that 8*h - 2/5*h**4 - 154/5*h**2 - 356/15*h**3 + 232/15 = 0.
-58, -1, 2/3
Let g(r) be the third derivative of r**10/302400 - r**8/40320 + 4*r**5/15 - 26*r**2. Let o(x) be the third derivative of g(x). Factor o(s).
s**2*(s - 1)*(s + 1)/2
Let j(b) be the second derivative of 0 + 4/19*b**3 + 4/19*b**2 - 7/114*b**4 - 11*b. Determine z, given that j(z) = 0.
-2/7, 2
Let -9/4 + 39/8*i - 29/8*i**2 + 9/8*i**3 - 1/8*i**4 = 0. What is i?
1, 2, 3
Let t(n) be the third derivative of 0*n + 1/1680*n**7 - 1/2688*n**8 - 1/24*n**4 - 1/480*n**5 + 1/192*n**6 - 41*n**2 - 1/12*n**3 + 0. Factor t(r).
-(r - 2)**2*(r + 1)**3/8
Let u = 61 - 58. Let n(v) be the second derivative of 0 + 1/12*v**4 + 1/20*v**5 - 1/6*v**3 - u*v - 1/30*v**6 + 0*v**2. Suppose n(j) = 0. Calculate j.
-1, 0, 1
Let c(f) = -4*f**3 - f**2 - f - 1. Let o(u) = -17*u**3 - 6*u**2 + 4. Let s(i) = -4*c(i) + o(i). Factor s(r).
-(r - 2)*(r + 2)**2
Let m(n) be the third derivative of n**6/300 - n**5/75 + n**4/60 + 2*n**2 + 30*n. Find g such that m(g) = 0.
0, 1
Let p(f) = 10*f**3 - 16*f**2 - 7*f. Suppose 7*c = 10 + 4. Let r(s) = 3*s**3 - 5*s**2 - 2*s. Let i(l) = c*p(l) - 7*r(l). Factor i(o).
-o**2*(o - 3)
Suppose -222*k**2 + 303/2*k + 147/2*k**3 - 3 = 0. What is k?
1/49, 1, 2
Let i(f) = -5*f**2 + f - 1. Let n(h) = -13*h**2 - 61*h - 2. Let g(l) = 2*i(l) - n(l). Factor g(k).
3*k*(k + 21)
Factor -1/4*z**3 - 3/2*z**2 - 3/4*z + 5/2.
-(z - 1)*(z + 2)*(z + 5)/4
Factor -407*v**3 - 2*v**4 + 413*v**3 + 5*v**4 - 24*v - 9*v**2 - 12.
3*(v - 2)*(v + 1)**2*(v + 2)
Let d(i) = -i**3 - 12*i**2 - 23*i + 44. Let t be d(-9). Find a, given that 274/5*a**3 - 64/5*a + 24/5 - t*a**4 - 194/5*a**2 = 0.
-2/5, 1/4, 1, 6
Let j(w) be the second derivative of -w**6/6 - w**5/2 + 5*w**4/12 + 5*w**3/3 + 9*w + 2. Factor j(o).
-5*o*(o - 1)*(o + 1)*(o + 2)
Let l be 38/(-12) + 2 + 2/12. Let m be (-25)/(-6) - l*(-5)/30. Factor -10/3*n - 4/3 - 4/3*n**2 + 8/3*n**3 + 2/3*n**5 + 8/3*n**m.
2*(n - 1)*(n + 1)**3*(n + 2)/3
Let m(s) = 2*s**2 - 3*s. Let f(z) = -9*z**2 - 148*z + 161. Let q(i) = -5*f(i) - 20*m(i). Factor q(w).
5*(w - 1)*(w + 161)
Factor -4*d**2 - 5 - 1/2*d**3 - 17/2*d.
-(d + 1)*(d + 2)*(d + 5)/2
Let f be (-5)/(-2) + -2 - 9/(-6). Let r(s) = 2*s**3 + 6*s**2 - 2. Let j(o) = -9*o**3 - 30*o**2 + 10. Let h(g) = f*j(g) + 11*r(g). Factor h(d).
2*(d + 1)**2*(2*d - 1)
Solve 1/5*q**4 + 0*q**3 - 6/5*q**2 - 3/5 - 8/5*q = 0 for q.
-1, 3
Factor 10/9*p**2 - 2*p**3 + 0*p + 2/3*p**4 + 2/9*p**5 + 0.
2*p**2*(p - 1)**2*(p + 5)/9
Let y be 0*2/6 - (-2 - -3). Let t be 5 - y/(3 + -6 + 2). What is p in -2/9*p**2 - 2/3*p**t + 0*p + 2/3*p**3 + 0 + 2/9*p**5 = 0?
0, 1
Let n be (-44)/(-66)*18/4. Determine t, given that 191*t**2 - 5*t**3 - 2*t**n - 200*t**2 + t**3 + 3*t**4 = 0.
-1, 0, 3
Let n(j) = 14*j + 45. Let b be n(-3). Let s(r) be the first derivative of -1/3*r**b + 0*r - 1 - r**2. What is u in s(u) = 0?
-2, 0
Determine o, given that 2*o**3 - 132694*o**2 + 132568*o**2 + o**3 - 132 - 261*o = 0.
-1, 44
Suppose 5*b = 4*b + 4. Suppose 0 = -i - b*i + 30. Factor 0 + 0*n - 2*n**3 + i*n**4 + 0*n**2 - 9/2*n**5.
-n**3*(3*n - 2)**2/2
Let u(j) be the first derivative of -j**3 + 1/5*j**5 - j**2 + 0*j**4 - 39 + 0*j. Factor u(t).
t*(t - 2)*(t + 1)**2
Let v(k) be the second derivative of k**6/30 + 59*k**5/20 + 70*k**4 - 150*k**3 - 4*k - 3. Find y such that v(y) = 0.
-30, 0, 1
Let y(d) be the first derivative of -25*d**6/36 + 2*d**5 - 4*d**4/3 - 7*d**3/9 + 3*d**2/4 + d/3 + 531. Determine f, given that y(f) = 0.
-2/5, -1/5, 1
Let p(g) be the third derivative of g**5/240 - 11*g**4/32 + 31*g**3/12 + 32*g**2. Factor p(o).
(o - 31)*(o - 2)/4
Let m(o) be the third derivative of o**5/12 - 155*o**4/12 + 4805*o**3/6 + 317*o**2. Factor m(k).
5*(k - 31)**2
Let m = 1727/948 - 17/237. Find q, given that -m*q + 0 + 7/4*q**3 + 1/4*q**2 - 1/4*q**4 = 0.
-1, 0, 1, 7
Let w be (-2)/((2/18)/(1/(-3))). Let a be (8/w)/(96/216). Factor -6/7*k**2 + 3/7*k + 0 + 3/7*k**a.
3*k*(k - 1)**2/7
Let i(y) be the first derivative of -2/7*y - 22/21*y**3 - 5/14*y**4 - y**2 + 10. Find q, given that i(q) = 0.
-1, -1/5
Factor -32/7*u**3 - 2/7*u**4 - 156/7*u**2 - 32*u - 14.
-2*(u + 1)**2*(u + 7)**2/7
Let f(b) be the third derivative of b**8/336 - 2*b**7/105 - b**6/40 + 3*b**5/10 - b**2 - 17*b. Factor f(t).
t**2*(t - 3)**2*(t + 2)
Let r = 14142 - 70399/5. Let v = r + -62. Factor 1/5*h**2 - v - 1/5*h**3 + 1/5*h.
-(h - 1)**2*(h + 1)/5
Let x(v) be the first derivative of -v**3 - v - 1/4*v**4 - 3/2*v**2 + 11. Factor x(c).
-(c + 1)**3
Suppose 0*d = -8*d. Let n(l) be the second derivative of 1/60*l**5 + 0 + 1/252*l**7 + l + 0*l**4 + d*l**3 + 0*l**2 + 1/60*l**6. Factor n(w).
w**3*(w + 1)*(w + 2)/6
Factor -611/2*y**2 - 8/3*y**4 - 148/3*y**3 - 1682/3 - 2146/3*y.
-(y + 2)**2*(4*y + 29)**2/6
Suppose -3*p + 1 + 14 = 0. Let w(l) be the second derivative of -2*l - 1/105*l**6 + 0 + 0*l**2 + 1/42*l**4 + 1/70*l**p - 1/21*l**3. Factor w(n).
-2*n*(n - 1)**2*(n + 1)/7
Let d(a) = -6*a**2 + 1676*a - 114234. Let n(t) = -2*t**2 + 558*t - 38079. Let v(o) = 3*d(o) - 10*n(o). Factor v(c).
2*(c - 138)**2
Suppose r - 11 = -8*k + 3*k, -3*r - 3 = 3*k. Factor -855*x**5 + 24*x**k + 857*x**5 + 5*x**2 + 12*x**4 + 11*x**2.
2*x**2*(x + 2)**3
Let t be (-6 - -11)/(1*(-15)/(-6)). Factor 4/5*i**t + 16/5 - 16/5*i.
4*(i - 2)**2/5
Let l = 9 + -18. Let u = -7 - l. Let -108*f**3 - 105*f**3 + 73*f**3 + 19*f**u + f**2 + 245*f**4 = 0. Calculate f.
0, 2/7
Let y(v) be the first derivative of v**6/600 - v**5/50 + 35*v**3/3 + 22. Let b(w) be the third derivative of y(w). What is j in b(j) = 0?
0, 4
Let i(q) be the first derivative of q**4/4 - 5*q**3/3 - 5*q**2/2 - 4*q - 2. Let n be i(6). Suppose 4*j**n + 2*j + 2*j**3 + 0*j**2 + 0*j**3 = 0. What is j?
-1, 0
Determine d so that -5*d**3 + 5*d**4 + 48 - 39*d**2 - d**4 + 32*d - 3*d**3 - 19*d**2 + 30*d**2 = 0.
-2, -1, 2, 3
Let p(f) be the second derivative of -1/10*f**5 + 2*f - 12*f**3 + 0 - 2*f**4 + 0*f**2. Factor p(h).
-2*h*(h + 6)**2
Let a(c) be the second 