**2 + u*g**3 + 0 + 9/7*g.
g*(g + 3)**2/7
Let n(h) be the first derivative of 27*h**5/5 + 21*h**4/4 - 11*h**3 - 21*h**2/2 + 6*h - 139. Factor n(x).
3*(x - 1)*(x + 1)**2*(9*x - 2)
Suppose -21*l = -13*l - 24. Suppose l*x + 7 = 19. Factor 4/3*m**4 - 16/3*m**3 + x*m**2 - 16/3 + 16/3*m.
4*(m - 2)**2*(m - 1)*(m + 1)/3
Suppose 27 - 239*l + 87*l**2 + 15 + 18*l**3 - 28*l = 0. What is l?
-7, 1/6, 2
Let w(o) be the first derivative of -o**8/3360 - o**7/240 - o**6/48 - 3*o**5/80 + 11*o**3/3 - 5. Let f(q) be the third derivative of w(q). Factor f(u).
-u*(u + 1)*(u + 3)**2/2
Suppose -66 = 7*p + 46. Let z be ((-18)/p - 1) + 36/224. Factor 0 - 2/7*v**3 - z*v**4 + 2/7*v**2 + 2/7*v.
-2*v*(v - 1)*(v + 1)**2/7
Let y(f) = -3*f**3 - 144*f**2 - 264*f - 118. Let u(m) = -20*m**3 - 936*m**2 - 1716*m - 768. Let t(r) = 5*u(r) - 32*y(r). Factor t(p).
-4*(p + 1)**2*(p + 16)
Let v be (2/4)/((-12)/24). Let l(x) = x + 1. Let c be l(v). Factor c + 1/2*h - 3/4*h**2.
-h*(3*h - 2)/4
Let l(p) be the second derivative of p**5/80 - 137*p**4/12 + 18769*p**3/6 + 507*p. Factor l(f).
f*(f - 274)**2/4
Let v(t) be the second derivative of t**4/6 + 22*t**3/3 - 23*t**2 + 305*t. Factor v(p).
2*(p - 1)*(p + 23)
Let w = -3203 + 22437/7. Find k such that -12/7*k - 2/7*k**2 - w = 0.
-4, -2
Let a(r) be the second derivative of -2/25*r**5 - 2/5*r**2 + 1/3*r**3 + 0 - 1/15*r**4 + 16*r + 4/75*r**6 - 1/105*r**7. Find p such that a(p) = 0.
-1, 1, 2
Let z(x) be the second derivative of -x**4/30 + 11*x**3/5 - 28*x**2 - 61*x - 3. Suppose z(a) = 0. Calculate a.
5, 28
Let v be (3*-1)/(9/(-9)). Suppose -v*s - 5 = -17. Solve -3/2*r**3 - 1/2*r + 0 + 3/2*r**2 + 1/2*r**s = 0.
0, 1
Let 37/2*y**2 - 30*y + 18 + 1/2*y**4 - 5*y**3 = 0. What is y?
2, 3
Factor -16/3*u**2 - 4/3*u**3 + 0 - 4*u.
-4*u*(u + 1)*(u + 3)/3
Let y(o) be the first derivative of -2*o**3/45 - 7*o**2/3 - 68*o/15 + 400. Factor y(w).
-2*(w + 1)*(w + 34)/15
Factor -126*a - 128*a**2 - 338*a - 241 - 4*a**3 - 207.
-4*(a + 2)**2*(a + 28)
Factor 153*t**2 - 22*t**2 - 237 - 1059 + 9*t**2 - 4*t**3 - 1152*t.
-4*(t - 18)**2*(t + 1)
Let g(d) be the first derivative of -11*d**4/10 + 284*d**3/75 - 68*d**2/25 + 16*d/25 + 70. Suppose g(q) = 0. Calculate q.
2/11, 2/5, 2
Let a be (-69)/9 - (16 - 24). Let n(o) be the second derivative of o**2 + a*o**3 - 1/5*o**5 + 1/21*o**7 + 0 - 4*o - 1/3*o**4 + 1/15*o**6. Factor n(x).
2*(x - 1)**2*(x + 1)**3
Let 4*r - 64/3 + 1/3*r**2 = 0. Calculate r.
-16, 4
Suppose 4*y - 1076 = 5*x, -x - 788 = -3*y - 2*x. Solve -129*p**5 - 133*p**5 + 6*p**3 + y*p**5 + 8*p**4 = 0.
-3, -1, 0
Let u(h) be the first derivative of -4*h**5/5 - 36*h**4 - 1816*h**3/3 - 4680*h**2 - 16900*h - 257. Suppose u(l) = 0. What is l?
-13, -5
Let n(x) be the third derivative of -x**6/900 + 7*x**5/450 - x**4/18 + 12*x**2. Factor n(m).
-2*m*(m - 5)*(m - 2)/15
Let w(g) be the first derivative of 5*g**4/4 - 25*g**3 - 180*g**2 - 380*g + 60. Factor w(y).
5*(y - 19)*(y + 2)**2
Suppose u = -5 + 9. Let d(i) be the first derivative of -u*i + 8 - 2*i**3 + 6*i**3 - 2*i**3 - i**2. Factor d(h).
2*(h - 1)*(3*h + 2)
Let z(k) = 5*k - 1. Let o be z(5). Suppose -3*w + o = w. Determine h so that -3*h**2 - 8 - 10*h - w*h**2 + 3*h**2 - 2*h - h**3 = 0.
-2
Let o = -128 + 130. Let l(r) be the first derivative of 1 + 1/8*r**4 + 1/2*r**3 - o*r + 0*r**2. Let l(c) = 0. Calculate c.
-2, 1
Let y = -19317 - -77727/4. Suppose -194*z = -188*z - 180. Suppose -y*h**2 + 837/4*h**3 - 3 + 243/4*h**5 - 729/4*h**4 + z*h = 0. Calculate h.
1/3, 2/3, 1
Let w(k) = 50*k**2 - 50*k - 25. Let a(m) = 150*m**2 - 150*m - 76. Let g(x) = 3*a(x) - 8*w(x). Factor g(o).
2*(5*o - 7)*(5*o + 2)
Let m(v) be the first derivative of -v**4/4 + 13*v**3/3 + 88. Factor m(y).
-y**2*(y - 13)
Let f be (16/(-30))/((-6)/(-9))*105/(-231). Let k = 436/759 + -2/69. Determine p so that f*p + 0 + k*p**2 + 2/11*p**3 = 0.
-2, -1, 0
Suppose 3*j - 17 + 8 = 0. Suppose 0*x - j*x + 18 = a, 4 = x + a. Factor 314 + 2*b**3 + 5*b**4 - 314 - x*b**5.
-b**3*(b - 1)*(7*b + 2)
Let p(s) = 3*s. Let f be p(1). Find u, given that -f + 8*u + 0*u**2 + u**2 - 10*u = 0.
-1, 3
Let h(o) be the second derivative of -o**4/60 - 4*o**3/5 - 8*o**2 + 2*o + 147. Solve h(r) = 0 for r.
-20, -4
Determine z so that 0 - 40/7*z**4 + 18/7*z**5 + 0*z - 46/7*z**3 + 12/7*z**2 = 0.
-1, 0, 2/9, 3
Let c(y) be the third derivative of y**8/35280 + y**7/11760 - y**6/5040 - y**5/5 + 25*y**2. Let o(u) be the third derivative of c(u). Solve o(r) = 0 for r.
-1, 1/4
Let m(o) = 2*o**2 + 3*o - 5. Let c be m(-4). Let s = -10 - -19. Solve -c*n + s*n**3 - 5*n**5 + 10 - 10*n**2 - 12*n**3 + 23*n**3 = 0 for n.
-2, -1, 1
Determine p so that -3364 - 3*p**3 - 380*p**2 + 144*p**2 - 3596*p - p**3 = 0.
-29, -1
Let a be (7 + -7 - -4) + (-690)/180. What is h in h - a*h**2 - 3/2 = 0?
3
Let c(j) be the third derivative of 2/3*j**5 + 0*j - 15/2*j**3 + 1/4*j**6 - 5*j**2 + 3 + 1/42*j**7 - 5/4*j**4. Factor c(z).
5*(z - 1)*(z + 1)*(z + 3)**2
Let o(l) = -9*l**3 + 183*l**2 - 237*l + 57. Let q(m) = -m. Let t(n) = o(n) - 6*q(n). Factor t(r).
-3*(r - 19)*(r - 1)*(3*r - 1)
Let j = 2915/8 + -11017/24. Let m = 98 + j. Let 10/3*u**5 - m*u**3 + 4/3*u**4 + 0*u + 0 - 4/3*u**2 = 0. What is u?
-1, -2/5, 0, 1
Factor -7*o + 2*o**2 + 2*o + 345*o - 3*o**2 - 81796 + 232*o.
-(o - 286)**2
Let g(u) be the first derivative of -1/2*u**4 + 0*u**3 + 1/10*u**5 + 0*u**2 - 5*u + 1. Let r(n) be the first derivative of g(n). Factor r(l).
2*l**2*(l - 3)
Factor -180 + 18*o**4 + 156*o + 100*o**2 + 12*o**3 - 2*o**4 - 48*o**3 - 56*o**3 + 0*o**4.
4*(o - 3)**2*(o - 1)*(4*o + 5)
Let f(s) = -5*s**2 - 25*s + 55. Let q(o) = -5*o**2 - 27*o + 56. Let h(w) = -6*f(w) + 5*q(w). Determine b so that h(b) = 0.
-5, 2
Let r be 741/143 + 2/(-11). Suppose -16 = u - r*u. Suppose 3*b**u + b**2 - 4*b**3 + 2*b**2 - 2*b**3 = 0. What is b?
0, 1
Let f(a) = -124*a**4 + 1647*a**3 - 5317*a**2 - 2106*a - 196. Let w(p) = -p**4 - p**3 - 2*p. Let n(l) = f(l) - 3*w(l). Factor n(j).
-(j - 7)**2*(11*j + 2)**2
Factor -4/3*a**3 + 12*a**2 + 16 - 80/3*a.
-4*(a - 6)*(a - 2)*(a - 1)/3
Let v be (5832/396)/(4/11). Factor -1/2*g**2 - 9*g - v.
-(g + 9)**2/2
Determine b, given that -8/13*b - 72/13 + 18/13*b**2 + 2/13*b**3 = 0.
-9, -2, 2
Suppose b = -3*d, -4*b = 492*d - 496*d. What is p in 3/7*p**3 + 75/7*p - 30/7*p**2 + d = 0?
0, 5
Let u(y) be the second derivative of y**7/5040 + y**6/720 - 5*y**4/4 - 14*y. Let h(i) be the third derivative of u(i). Determine t, given that h(t) = 0.
-2, 0
Let v be ((-60)/(-50))/(3/75). Let t be v/63*(-12)/(-10). Factor 2/7 + 2/7*y**2 - t*y.
2*(y - 1)**2/7
Suppose 0 = -3*n - 9, -5*y = -4*y - 2*n - 20. Let f be (-4)/28 - (-44)/y. Factor 0*x**3 - x**3 - f*x**2 + 4*x**2.
-x**2*(x - 1)
Let z(p) be the third derivative of p**6/90 - p**5/10 + p**4/3 + p**3/6 + 7*p**2. Let a(o) be the first derivative of z(o). Find c such that a(c) = 0.
1, 2
Let d(l) = -l**3 - 7*l**2 + 2*l - 5. Let n be d(-6). Let j = n - -55. Solve 0*h**j + 4/3*h - 2/3 + 2/3*h**4 - 4/3*h**3 = 0.
-1, 1
Let g(k) be the third derivative of 0*k + 1/90*k**5 + 5*k**2 + 0 + 1/36*k**4 + 0*k**3. Determine l so that g(l) = 0.
-1, 0
Let b be (-5 + (-58)/(-10))/(4/10). Suppose -b + 19 = 4*n + 3*g, 2*g = 6. Find v such that 0*v**n + 2/7*v**3 - 2/7*v + 0 = 0.
-1, 0, 1
Let y(i) be the second derivative of 0 + 4/13*i**2 + 1/78*i**4 + 4/39*i**3 + 13*i. Let y(a) = 0. What is a?
-2
Let y = 155 - 140. Let x be (27/60)/(y/80). Let 3/5*w**2 + x*w + 12/5 = 0. Calculate w.
-2
Factor -8*w**2 + 19/2*w - 15/4 + 5/2*w**3 - 1/4*w**4.
-(w - 5)*(w - 3)*(w - 1)**2/4
Suppose -271*u + 250*u = -63. Factor w**4 + 3/4*w**u + 0 + 1/4*w**5 - w - w**2.
w*(w - 1)*(w + 1)*(w + 2)**2/4
Let a = 825 - 825. Factor a + 0*t + 2/9*t**2.
2*t**2/9
Solve 96/5 + 6/5*n**4 - 54/5*n**3 + 168/5*n**2 - 216/5*n = 0.
1, 2, 4
Suppose -2*m**3 - 75*m**2 + 455 - 519 + 9*m**3 + 2*m**4 - m**3 + 120*m + 11*m**2 = 0. Calculate m.
-8, 1, 2
Let y = -24899/60 + 415. Let a(l) be the third derivative of 0*l + y*l**6 + 7/36*l**4 + 2/9*l**3 - l**2 + 0 + 4/45*l**5. Factor a(r).
2*(r + 1)**2*(3*r + 2)/3
Solve -2*o**2 - 1/3*o**3 + 14/3 + 3*o = 0 for o.
-7, -1, 2
Factor -8*v - 22*v - 28949*v**2 + 28948*v**2 + 31.
-(v - 1)*(v + 31)
Suppose g = 5*y - 5, 0*g - 4 = 3*y - 2*g. Suppose -11 = -y*k + c, 3*c - 44 = -4*k - k. Solve d - 2*d**4 + 6*d - k*d = 0 for d.
0
Suppose 8*i = -0*i + 16. 