ve of -b**5/4 - 15*b**4/4 + 5*b**3/6 + 45*b**2/2 - 84*b + 2. Factor h(f).
-5*(f - 1)*(f + 1)*(f + 9)
Let p = 128 - 127. Let v be (-120)/840 + ((-2)/(-7))/p. Let -v*b**2 - 2/7*b + 0 = 0. What is b?
-2, 0
Let s(p) = -12*p - 3. Let m be s(-1). Factor m*g**3 - 9*g**2 + 52*g - g**4 - 2*g**4 - 49*g.
-3*g*(g - 1)**3
Let f = -67372/95 - -847/19. Let t = f - -667. Factor -t*h**2 + 0*h - 108/5*h**3 + 0 - 243/5*h**4.
-3*h**2*(9*h + 2)**2/5
Factor -13*c**2 + 49*c**2 + c**3 - c**3 + 2*c**3 + 60*c + c**3.
3*c*(c + 2)*(c + 10)
Let h(z) = 9*z + 83. Let t be h(-9). Let k(o) be the second derivative of 1/12*o**4 + 0*o**3 + 0 + 0*o**t - 3*o. Find b, given that k(b) = 0.
0
Let s(f) be the first derivative of f**4/4 - 35*f**3 + 2703*f**2/2 + 2809*f - 773. Solve s(a) = 0 for a.
-1, 53
Let o(n) = -15*n**3 + 53*n**2 - 82*n + 37. Let w be (-13 + 6)*(-2)/(-2). Let f(t) = 5*t**3 - 18*t**2 + 27*t - 12. Let m(b) = w*f(b) - 2*o(b). Factor m(r).
-5*(r - 2)*(r - 1)**2
Let y(l) = -3*l - 1. Let c be y(-2). Let f = -1 + c. Factor -9*v**3 - 6*v - 2*v - 50*v**f - 48*v**2 - 81*v**3.
-2*v*(v + 1)*(5*v + 2)**2
Let r(w) be the third derivative of 1/36*w**4 + 0*w - 1/90*w**5 + 2/9*w**3 + 11*w**2 + 0. Factor r(k).
-2*(k - 2)*(k + 1)/3
Let k(z) = 9*z - 43. Let o be k(4). Let l be (6 - 0)/(-30)*5/o. Factor -l*u**2 - 4/7 + 4/7*u.
-(u - 2)**2/7
Let l be (-2)/6 - 17/(-33). Suppose 4*v - 5 = 5*q, -4*v + 4*q + 2 = 2*q. Factor l*s**2 + 4/11*s + v.
2*s*(s + 2)/11
Let a be (-1 + 2/(-8))/((-4095)/2184). Solve -2/3 + 0*o + a*o**2 = 0 for o.
-1, 1
Let h(m) be the second derivative of -m**4/4 - 2*m**3 - 9*m**2/2 + m + 61. Let h(d) = 0. What is d?
-3, -1
Let m = 4375 + -56869/13. Find a such that 4/13*a - m + 2/13*a**2 = 0.
-3, 1
Let g be ((-7)/(-3) - 2) + (-38)/(-228). Let z(o) be the first derivative of 0*o**2 + o**3 - 3/5*o**5 + 7 - g*o**6 + 3/4*o**4 + 0*o. Solve z(c) = 0.
-1, 0, 1
Let v(s) be the first derivative of -s**5/10 - s**4/2 - 5*s**3/6 - s**2/2 - 59. Factor v(q).
-q*(q + 1)**2*(q + 2)/2
Let i(a) = 18*a**3 - 14*a**2 - 43*a - 8. Let x(j) = j + 0*j + 6*j - 8*j. Let g(l) = -i(l) + 3*x(l). Suppose g(d) = 0. What is d?
-1, -2/9, 2
Let p be 174/(-720) + 13/52. Let d(s) be the third derivative of -p*s**6 + 8*s**2 + 1/12*s**4 + 1/60*s**5 + 0*s + 0 + 0*s**3. Find q such that d(q) = 0.
-1, 0, 2
Suppose 297 - 285 = -3*x. Let k be x/(-8) + (-4)/(-2). Factor -k + 5/2*s**2 + 0*s.
5*(s - 1)*(s + 1)/2
Let u(f) be the first derivative of f**4/14 + 4*f**3/21 - 5*f**2/7 - 12*f/7 + 3. Determine n so that u(n) = 0.
-3, -1, 2
Let l(b) = b**3 - 14*b**2 - 5*b + 9. Let r be l(15). Find f, given that -f - r + f**2 + 159 = 0.
0, 1
Let a = 784 + -781. Factor -1/3*u**2 + 1/3*u + 1/3 - 1/3*u**a.
-(u - 1)*(u + 1)**2/3
Suppose -7*d - 207 - 24 = 0. Let x be (-533)/(-429) + (-3)/d. Factor 0 - x*l**2 + 0*l.
-4*l**2/3
Find g such that 2/13*g**2 - 4/13*g + 2/13 = 0.
1
Determine w, given that -16/5*w**2 - 2/15*w**4 + 44/15*w - 14/15 + 4/3*w**3 = 0.
1, 7
Let o = -15498/19 - -816. Factor -o*r + 2/19*r**2 + 4/19.
2*(r - 2)*(r - 1)/19
Solve 1/4*m**2 + 39/4 - 10*m = 0.
1, 39
Let q(u) be the second derivative of -12*u**6/35 + 6*u**5/7 - 13*u**4/42 - 10*u**3/21 - u**2/7 - 138*u. Determine n, given that q(n) = 0.
-1/6, 1
Suppose -c = -6*c + 10. Factor 6*g + g**2 + 6*g**2 - 3*g**c - 2*g.
4*g*(g + 1)
Solve -1/5*w**2 - 22/5*w + 48/5 = 0 for w.
-24, 2
Let c = -69 - -71. Let f(p) be the first derivative of p**c + 0*p + 1/3*p**3 + 4. Let f(t) = 0. Calculate t.
-2, 0
Let n be (-1)/19*(-6783)/2142. Factor 0 + n*o**3 - 1/6*o**2 + 0*o.
o**2*(o - 1)/6
Let d be (-1 - (-13)/(-7))/((-15)/105). Let o be 6*(d/8)/5. Determine y so that -2/15 - 8/15*y**2 + 4/15*y**o - 8/15*y + 4/15*y**5 + 2/3*y**4 = 0.
-1, -1/2, 1
Let x be (-1)/(22/(-11) + (-3)/6). Factor -x*g**3 + 0 - 2/5*g**2 + 0*g.
-2*g**2*(g + 1)/5
Let j be (-4 - -4)*1*(-6)/(-12). Let p(i) be the third derivative of j + 4/3*i**4 - 2/3*i**3 + 2*i**2 - 16/15*i**5 + 0*i. Factor p(h).
-4*(4*h - 1)**2
Let w(b) be the first derivative of 10*b**6/3 + 1792*b**5/5 - 1560*b**4 + 7768*b**3/3 - 2042*b**2 + 744*b - 680. What is p in w(p) = 0?
-93, 2/5, 1
Suppose -3*v - 8*k + 9*k = -2, 4*v - 5*k = -12. Let b(q) be the third derivative of 0*q + 0*q**3 + 0 - 2*q**v - 1/330*q**5 + 1/660*q**6 + 0*q**4. Factor b(z).
2*z**2*(z - 1)/11
Let u(o) = 6*o**5 - 11*o**4 - 12*o**3 - 2*o**2 - 7*o + 7. Let l(s) = s**5 - s**4 - s**3 - s + 1. Let r(t) = -14*l(t) + 2*u(t). Factor r(w).
-2*w**2*(w + 1)**2*(w + 2)
Let t(a) = 11 + 23 - 7 + 10 - 5*a. Let v be t(7). Factor 1/2*x + 0*x**v + 0 - 1/2*x**3.
-x*(x - 1)*(x + 1)/2
Let d(r) be the first derivative of 2 + 1/11*r**2 + 2/33*r**3 - 2/11*r - 1/22*r**4. Factor d(i).
-2*(i - 1)**2*(i + 1)/11
Let g be (-3 - 2)/((-20)/8). Suppose 7*j - g*j - 15 = 0. Factor 0 + 2/7*w**2 - 2/7*w**j + 4/7*w.
-2*w*(w - 2)*(w + 1)/7
Solve 14*r**4 + 1/3*r**5 + 0 - 14*r**2 - 44/3*r**3 + 43/3*r = 0 for r.
-43, -1, 0, 1
Let q(t) be the third derivative of t**5/15 - 4*t**4/3 + 32*t**3/3 - 3*t**2 - 13*t. Determine y so that q(y) = 0.
4
Let f(o) be the second derivative of o**4/8 + 31*o**3/4 + 45*o**2/2 + 2*o + 75. Solve f(n) = 0.
-30, -1
Let i be ((-4)/(-3))/((-4)/(-6)). Let n be 16/40 - (-24)/15. Let -r**2 - 4*r**3 - r**i + 5*r**3 - r - n*r**3 = 0. Calculate r.
-1, 0
What is i in 24*i**2 + 3/2*i**5 - 21/2*i**4 + 0 + 12*i**3 + 0*i = 0?
-1, 0, 4
Let u(l) = -10*l**3 - 21*l**2 - 14*l + 3. Let a(k) = -11*k**3 - 22*k**2 - 15*k + 3. Let o(z) = 6*a(z) - 7*u(z). Factor o(d).
(d + 1)*(d + 3)*(4*d - 1)
Let n(y) be the first derivative of -y**6/51 + 2*y**5/17 - 7*y**4/34 + 2*y**3/17 + 75. Find s, given that n(s) = 0.
0, 1, 3
Let s(m) = -m**2 - 6*m + 15. Let v be s(-8). Let o be -4 + v/((-4)/88). Factor -o*l**3 + 17*l**3 - 3*l**2 - 2*l + 0*l.
-l*(l + 1)*(l + 2)
Suppose 14*s = 12*s - 10. Let o(j) = -3*j**3 - 6*j**2 - 14*j - 6. Let h(i) = -i**3 - i + 1. Let b(d) = s*o(d) + 10*h(d). Suppose b(q) = 0. What is q?
-2
Let b(t) be the third derivative of -1/18*t**4 + 0 + 0*t + 0*t**3 + 1/90*t**5 + 1/180*t**6 + t**2. Suppose b(j) = 0. What is j?
-2, 0, 1
Let c = 1893 + -9464/5. Factor -8/5*v - c - 16/5*v**2.
-(4*v + 1)**2/5
Let o(m) be the second derivative of -4/5*m**3 + 0 - 1/50*m**6 + 3/20*m**4 + 3/50*m**5 - 43*m + 6/5*m**2. Solve o(w) = 0.
-2, 1, 2
Let u = 22084 - 22082. Solve -2/5*h + 2/5*h**u - 24/5 = 0 for h.
-3, 4
Let 27/5*u + 27/5 + 1/5*u**3 + 9/5*u**2 = 0. Calculate u.
-3
Let u(b) be the second derivative of -5/12*b**4 - 5/2*b**2 + 0 + 5/3*b**3 + 7*b. Factor u(f).
-5*(f - 1)**2
Suppose -5*z + 5*k = 0, -48*z + 47*z = 4*k. Let o(s) be the second derivative of 4/3*s**3 + 1/6*s**4 - 4*s + 4*s**2 + z. Let o(f) = 0. What is f?
-2
Factor 13/3*u - 1/3*u**3 - 10/3 - 2/3*u**2.
-(u - 2)*(u - 1)*(u + 5)/3
Let y(t) = -65*t**2 + 65*t - 25. Let u(s) be the first derivative of -8*s**3/3 + 4*s**2 - 3*s + 9. Let n(g) = -25*u(g) + 3*y(g). Factor n(p).
5*p*(p - 1)
Let o(u) = -u**2 - 9*u - 5. Let y be o(-7). Suppose 3*s - 15 = 0, 4*i - 16 - y = -5*s. Factor i*v + 2/13*v**3 + 0 + 0*v**2.
2*v**3/13
Let j(h) = 2*h**2 - 6*h. Let g be j(3). Let m be (2 - 2) + (3 - g). Find d such that 9*d**4 + 3*d**5 - 2*d**m - 6*d**4 - 4*d**3 = 0.
-2, 0, 1
Suppose -z + 7 = 2. Find w, given that -16*w**3 - 207*w**z + 28*w**2 + 231*w**5 - 12*w**4 - 16*w**4 - 8*w = 0.
-1, 0, 1/2, 2/3, 1
Let c(j) = 28*j**2 - 391*j + 448. Let q(f) = -10*f**2 + 130*f - 150. Let i(m) = 6*c(m) + 17*q(m). Determine g, given that i(g) = 0.
-69, 1
Let m(h) = -12*h - 77. Let l be m(0). Let x = 79 + l. Suppose 1/5*c**x + c - 1/5*c**3 + 3/5 = 0. Calculate c.
-1, 3
Let j be -48*2/(-45) + 44/(-330). Factor -3/5 + 4/5*o - 1/5*o**j.
-(o - 3)*(o - 1)/5
Factor -341*s**2 + 341*s**2 + 20*s**4 - 5*s**5 - 20*s**3.
-5*s**3*(s - 2)**2
Let i(a) be the second derivative of 1/3*a**4 + 8*a - 2/3*a**3 + 0*a**2 + 0. Determine c so that i(c) = 0.
0, 1
Let v(y) be the second derivative of -y**7/10 - 8*y**6/25 - 3*y**5/25 - 2*y. Factor v(r).
-3*r**3*(r + 2)*(7*r + 2)/5
Let m be ((-16)/(-184) - 870/(-3220))*(4 + 0). Factor -2/7*d**2 + 2/7*d - m*d**3 - 6/7*d**4 + 0.
-2*d*(d + 1)**2*(3*d - 1)/7
Let x(n) be the third derivative of n**6/40 - 11*n**5/20 - 34*n**2. Factor x(m).
3*m**2*(m - 11)
Let y(c) be the first derivative of -c**2 + 51 + 3*c + 1/9*c**3. Factor y(p).
(p - 3)**2/3
Let k(m) be the second derivative o