635 - -637. Let x(f) be the third derivative of 0*f + 9*f**n + 0*f**3 + 0 - 1/20*f**5 + 1/2*f**4. Suppose x(t) = 0. What is t?
0, 4
Let p(m) = 16*m**3 + 10*m**2 + 28*m + 24. Let w(r) = -2*r**3 - r**2. Let f(v) = -p(v) - 10*w(v). Factor f(h).
4*(h - 3)*(h + 1)*(h + 2)
Solve -8/25*q**4 + 0 - 6/25*q**5 + 0*q - 12/25*q**2 + 26/25*q**3 = 0.
-3, 0, 2/3, 1
Let h be -2*(-4 + (-10)/(-4)). Let o(l) be the first derivative of 5/9*l**2 + 5 + 2/9*l + 4/9*l**h. What is s in o(s) = 0?
-1/2, -1/3
Suppose -32 = -2*a + 64. Determine h so that -a*h - 48*h**2 - 2*h**4 - 18*h**3 + 31*h - 15*h = 0.
-4, -1, 0
Let r(c) be the first derivative of -c**3/7 + 33*c**2/14 - 54*c/7 - 414. Solve r(g) = 0 for g.
2, 9
Suppose 35*w - 45/4 - 5*w**3 + 165/4*w**2 = 0. What is w?
-1, 1/4, 9
Let l(d) = 5 - 4*d + 11*d**2 - 28*d**2 + 10*d**2. Let m(z) = -13*z**2 - 7*z + 9. Let j(s) = -11*l(s) + 6*m(s). Factor j(u).
-(u - 1)**2
Let l be (2 + -1)*4 - 1. Factor -7 - 9*v**3 + 9*v + 1 + 6*v**l.
-3*(v - 1)**2*(v + 2)
Let d = 924 - 921. Determine z so that 1/3 + 2/3*z**2 + 1/6*z**d + 5/6*z = 0.
-2, -1
Factor -67*q + 2*q**2 - 6*q - 46*q + 2450 - 21*q.
2*(q - 35)**2
Suppose 3*q + x - 11 = 15, 0 = q - 3*x - 12. Let z(n) be the first derivative of 1/2*n**2 - 1/2*n - q - 1/6*n**3. Factor z(f).
-(f - 1)**2/2
Let m(q) be the first derivative of -q**5/40 - q**4/16 + 19*q**3/24 + 2*q**2 - 6*q - 103. Solve m(v) = 0.
-4, -3, 1, 4
Let p be (-26)/(-65) + (-301)/(-35) - 2*3. Determine m, given that -3 + 3*m**2 + 3/2*m - 3/2*m**p = 0.
-1, 1, 2
Let h(f) = 2*f**3 + 20*f**2 - 13*f - 5. Let m = 57 - 52. Let z(r) = r**3 + 19*r**2 - 14*r - 4. Let i(o) = m*z(o) - 4*h(o). Factor i(d).
-3*d*(d - 3)*(d - 2)
Let z(g) = 2*g**2 + 2*g - 1. Let m be z(-3). What is j in -3*j**2 - j**2 + m*j - j**2 + 4*j = 0?
0, 3
Let l(v) = -2*v**3 - 10*v**2 + 13*v + 8. Let z be l(-6). Let n(k) be the first derivative of 2/3*k**3 + 1/2*k**z + 0*k + 1/4*k**4 + 6. Factor n(q).
q*(q + 1)**2
Let z(y) = -11*y**3 + 16*y**2 - y - 8. Let n(w) = 9*w**3 - 15*w**2 + 9. Let x(a) = 4*n(a) + 3*z(a). Find k, given that x(k) = 0.
-1, 1, 4
Let j(z) be the second derivative of 10*z**4/3 + 22*z**3/3 + 2*z**2 - 8*z - 4. Factor j(k).
4*(k + 1)*(10*k + 1)
Let w(s) be the third derivative of -s**5/30 + 28*s**4/3 - 3136*s**3/3 - s**2 + 38. Factor w(v).
-2*(v - 56)**2
Let y be -9 + (-1)/(5/(-45)). Factor 0*h + y - 1/3*h**3 + 2/3*h**2.
-h**2*(h - 2)/3
Let c(k) be the second derivative of -k**5/15 + 2*k**4/9 + 2*k**3/3 + 63*k. Factor c(x).
-4*x*(x - 3)*(x + 1)/3
Let q(o) be the third derivative of 2*o**7/105 - o**6/5 - 4*o**5/5 + 19*o**4/3 - 14*o**3 - 157*o**2. Determine s so that q(s) = 0.
-3, 1, 7
Let g be (4/2 - 0) + -1. Suppose 3 = 2*w - g. Suppose 4*b - 45*b**3 + 21*b**w - 3*b + 27*b**4 - 4*b = 0. What is b?
0, 1/3, 1
Let s(i) = 6*i - 3. Let k(h) = -h**2 - 6*h + 4. Let y = 17 + -13. Let w(c) = y*s(c) + 3*k(c). Let w(o) = 0. What is o?
0, 2
Suppose 0*h - 3*h + 6 = 0. Suppose -4*u - 32 = -4*w, -2*w + 6*w - 2*u = 40. Factor -6*b**h - 3*b - 6 + w*b**4 - b + 3*b**5 - 11*b + 0 + 12*b**3.
3*(b - 1)*(b + 1)**3*(b + 2)
Let s = 8166 + -8160. Let -3/4*u**4 - s*u**3 - 18*u - 33/2*u**2 - 27/4 = 0. What is u?
-3, -1
Suppose b + 0*w = -3*w + 4, 0 = 5*b - 4*w + 18. Let x = 0 - b. Factor -8*d**x + 7*d**2 - 2*d - 2 - d.
-(d + 1)*(d + 2)
Let g(y) be the third derivative of 0 + 0*y - 7/3*y**3 + 2*y**2 - 1/30*y**5 - 2/3*y**4. Determine o, given that g(o) = 0.
-7, -1
Let j(q) be the second derivative of q**6/180 + q**5/15 + q**4/4 - 3*q**2/2 - 12*q. Let o(h) be the first derivative of j(h). Let o(z) = 0. Calculate z.
-3, 0
Let y = 73 + -80. Let g be 4/(-7) - (187/(-21) - y). Factor 1/6*t**3 - 5/6*t**2 + g*t - 2/3.
(t - 2)**2*(t - 1)/6
Let o be (-4)/22 - (-5 + (-1866)/(-22)). Let x be (-2)/(-20) + 8/o. Factor 0*t - 1/2*t**3 + 0*t**2 + x - 2*t**4.
-t**3*(4*t + 1)/2
Factor -3 + 3*o - 2*o - 4 + 7*o**2 + 0*o - o**3.
-(o - 7)*(o - 1)*(o + 1)
Let v(s) be the first derivative of -5*s**3/3 + 10*s**2 - 15*s - 50. Factor v(f).
-5*(f - 3)*(f - 1)
Let p(a) be the first derivative of 9*a**4/22 - 38*a**3/11 + 48*a**2/11 + 120*a/11 - 29. Solve p(m) = 0.
-2/3, 2, 5
Find i such that 39 + 104*i + 8*i + 108*i**2 - 1 - 2*i**4 + 32*i**3 = 0.
-1, 19
Let h = 387/10 - 1141/30. Solve 2/3*p**2 + 2/3*p - 2/3 - h*p**3 = 0.
-1, 1
Suppose 104 + 22 = 42*o. Let z = -548/5 + 110. Suppose 0 - 4/5*l**2 + 0*l + z*l**o = 0. Calculate l.
0, 2
Find j, given that 0 + 2/3*j**2 + 14/3*j = 0.
-7, 0
Let s(j) be the first derivative of -j**3 + 6*j**2 + 15*j - 252. Factor s(t).
-3*(t - 5)*(t + 1)
Let j(a) = 5*a**3 + 6*a**2 + a. Let i(t) be the third derivative of 7*t**6/60 + 17*t**5/60 + t**4/8 - 12*t**2. Let b(h) = 6*i(h) - 17*j(h). Factor b(f).
-f*(f - 1)*(f + 1)
Suppose -6*r - 2652 = -8340. Factor l**2 + 949*l**3 + 3*l + 3*l**2 - r*l**3.
l*(l + 1)*(l + 3)
Let t(b) be the third derivative of 1/30*b**5 + 0*b**4 + 0*b + 0 - 1/168*b**8 - 1/105*b**7 + 0*b**3 - 18*b**2 + 1/60*b**6. Factor t(f).
-2*f**2*(f - 1)*(f + 1)**2
Let g = -11 + 59. Let 19*f**3 - g*f**3 + f**2 + 2*f + 28*f**3 = 0. What is f?
-1, 0, 2
Let m(p) = 7*p**4 + 14*p**3 - 16*p**2 - 76*p + 4. Let b(d) = -36*d**4 - 69*d**3 + 81*d**2 + 381*d - 21. Let c(r) = 4*b(r) + 21*m(r). What is j in c(j) = 0?
-6, -2, 0, 2
Let d(v) be the second derivative of -3/5*v**2 - 3/10*v**3 + 0*v**4 + 24*v + 3/100*v**5 + 0. Suppose d(n) = 0. Calculate n.
-1, 2
Let i(b) be the third derivative of -b**7/70 + b**6/8 - 7*b**5/20 + 3*b**4/8 - 4*b**2 + 72. Solve i(c) = 0.
0, 1, 3
Let d be 1 + 0 - 1 - (-230418)/(-5712). Let p = 333/8 + d. Find s, given that 6/7 + p*s + 3/7*s**2 = 0.
-2, -1
Let r(o) be the first derivative of o**4 + 112*o**3/3 + 392*o**2 + 93. Let r(g) = 0. Calculate g.
-14, 0
Let v = -2944/3 + 982. Factor 0 - 2/9*q + 2/9*q**4 + 2/3*q**2 - v*q**3.
2*q*(q - 1)**3/9
Find t, given that -50*t + 135 - 4*t**2 - 80 - t**2 = 0.
-11, 1
Let f(s) be the third derivative of 0*s - 1/8*s**4 + 0 - s**2 - 1/3*s**3 + 1/30*s**5. Suppose f(g) = 0. What is g?
-1/2, 2
Let x be 870/(-116)*32/(-350) + 4/(-10). Determine u so that -x*u**3 + 2*u - 4/7*u**2 - 8/7 = 0.
-4, 1
Factor 147*d + 32 + 33*d**3 + d**4 + 35 + 19 - 28 + 121*d**2.
(d + 1)**2*(d + 2)*(d + 29)
Suppose -12*b = 112 - 160. Let j(w) be the second derivative of 0*w**3 + 13*w + 0*w**2 + 0 + 1/6*w**b. Factor j(n).
2*n**2
Suppose -5*q + 4*q = -5. Suppose -q*n + 573 + 92 = 0. Factor 145*a**3 + 8*a - 3*a**4 - n*a**3 - 15*a**2 - 2*a.
-3*a*(a - 2)*(a - 1)**2
Let t be (2 + 74/(-30))*544/112. Let n = 2/15 - t. Determine o, given that -9/5*o**2 + n + 12/5*o = 0.
-2/3, 2
Let v = -9425/6 + 3143/2. Factor 1/2*q**3 - v*q**2 - 1/6*q + 1/3.
(q - 1)**2*(3*q + 2)/6
Suppose -84 = 18*y - 174. Let j(x) be the second derivative of 0*x**4 - 3/5*x**y + 2/15*x**6 + 0*x**2 - 4*x + 0 + 8/3*x**3. Factor j(m).
4*m*(m - 2)**2*(m + 1)
Let y(u) be the second derivative of -1/90*u**6 + 0*u**2 - 1/60*u**5 - 8*u + 1/36*u**4 + 1/126*u**7 + 0*u**3 + 0. Factor y(t).
t**2*(t - 1)**2*(t + 1)/3
Suppose 9 = 3*g, 0 = -4*i - 76*g + 81*g - 3. Suppose -4/7*p**i + 0*p**2 + 0*p + 0 + 4/7*p**4 = 0. Calculate p.
0, 1
Let g = 136 + -134. Let i be (g/(-8) + 1)/(3/12). Suppose -2/3 + i*d - 4*d**2 + 4/3*d**3 = 0. What is d?
1/2, 2
Suppose -3*i + i = 5*w - 795, w - 159 = 4*i. Let p = -789/5 + w. Factor -p*h**4 + 0*h**3 + 0*h**2 + 0 + 0*h - 3*h**5.
-3*h**4*(5*h + 2)/5
Let j(b) be the third derivative of b**5/12 - 85*b**4/24 - 50*b**3 - 9*b**2 - 7. Find l, given that j(l) = 0.
-3, 20
Find o, given that 3/4*o**3 + 9/4*o - 15/4*o**2 + 27/4 = 0.
-1, 3
Let t(a) be the first derivative of -a**6/21 - 8*a**5/35 + 11*a**4/14 - 4*a**3/7 - 155. Find k, given that t(k) = 0.
-6, 0, 1
Let i(z) = -4*z**5 - 3*z**4 + 15*z**3 + 5*z**2 + 3*z - 3. Let l(b) = b**4 - b**3 + b**2 - b + 1. Let p(w) = -i(w) - 3*l(w). Find h such that p(h) = 0.
-1, 0, 2
Let l(z) = z**2 + 15*z + 28. Let c be l(-13). Suppose 4 = -h + 5*a - 2, 5*h = -c*a + 51. Factor -33/4*w**2 - 45/2*w**3 + h*w + 75/4*w**4 + 3.
3*(w - 1)**2*(5*w + 2)**2/4
Let q(v) = -v**3 + v**2 - v + 1. Let n(y) = y**4 - 3*y**3 - 2*y**2 - 4*y + 4. Let z(t) = n(t) - 4*q(t). Factor z(u).
u**2*(u - 2)*(u + 3)
Let z(h) be the third derivative of h**5/120 - 29*h**4/144 - 5*h**3/18 + 79*h**2. Factor z(m).
(m - 10)*(3*m + 1)/6
Let i(t) be the first derivative of -t**4/6 + 94*t*