*3 - 1. Let v be 1/2*-15*(-4)/3. Suppose v*o - 14 = 6. Let i(t) = -4*t**3 + 3*t**2 - 9*t. Let g(h) = o*i(h) - 10*u(h). Factor g(a).
2*(a - 1)**2*(a + 5)
Let h(o) be the first derivative of 4*o**5/5 - o**4 - 4*o**3 + 2*o**2 + 8*o + 1157. Determine m so that h(m) = 0.
-1, 1, 2
Let s(c) be the second derivative of 0*c**5 + 2/7*c**3 + 0*c**2 - 5*c - 1/35*c**6 + 3/14*c**4 - 27. Factor s(m).
-6*m*(m - 2)*(m + 1)**2/7
Let o(l) be the third derivative of l**7/2520 - 11*l**6/1440 + l**5/48 + 3*l**4/32 - 10*l**2 - 17*l. Determine x, given that o(x) = 0.
-1, 0, 3, 9
Let s be (-5)/1 + 2 + 15 + -16. Let o be (-6)/s*(-264)/(-36). Factor -8*y**2 + 83 - 48*y - 2*y**3 - o - 14*y**2.
-2*(y - 1)*(y + 6)**2
Let n(u) be the second derivative of 0*u**4 + 0*u**3 - 23/30*u**5 + 12*u - 10 + 1/45*u**6 + 0*u**2. Solve n(w) = 0.
0, 23
Let n(l) = -46193*l + 138588. Let y be n(3). Factor y + 1/2*i**2 - 11/2*i.
(i - 9)*(i - 2)/2
Suppose -4*m - 135*b + 13 = -140*b, 0 = -m - 3*b - 1. Let r be (-27)/(-60)*(-25)/(-15). Factor -r*t + 0 + 3/4*t**3 + 0*t**m.
3*t*(t - 1)*(t + 1)/4
Determine k, given that 876/11*k + 2/11*k**5 + 0 - 878/11*k**3 + 874/11*k**2 - 874/11*k**4 = 0.
-1, 0, 1, 438
Let x(s) be the first derivative of 65 - 97/15*s**5 - 1/6*s**2 - 5*s**3 - 109/12*s**4 - 5/3*s**6 + 2/3*s. Find q such that x(q) = 0.
-1, -2/5, 1/6
Let v be (-42315)/(-312)*2/(-5). Let m = -54 - v. Determine w, given that 0 + m*w**2 - 1/4*w = 0.
0, 1
Let 0*d**2 + 0 - 2/15*d**5 - 4/15*d**4 + 0*d + 2*d**3 = 0. What is d?
-5, 0, 3
Factor 102 + 32*c - 2/3*c**2.
-2*(c - 51)*(c + 3)/3
Let w(a) be the second derivative of -a**4/108 - 29*a**3/9 - 172*a**2/9 - 1568*a. Let w(i) = 0. Calculate i.
-172, -2
Let k(i) be the second derivative of i**5/22 - i**4/2 - 104*i**3/33 - 36*i**2/11 + 94*i - 1. Find q such that k(q) = 0.
-2, -2/5, 9
Solve -42*o**3 + 74*o**2 - 59*o - 6*o**3 - 1931 + o**5 + 26*o + 6*o**4 + 1931 = 0.
-11, 0, 1, 3
Let q(g) = 4*g**3 - g**2 + 2*g. Let h(b) = -2*b**4 - 14*b**3 + 130*b**2 - 458*b + 324. Let o(r) = h(r) + 4*q(r). Find p such that o(p) = 0.
-9, 1, 3, 6
Let d(j) be the second derivative of -1/10*j**5 + 0 + 1/3*j**3 - 27*j - 3*j**2 + 1/2*j**4. Factor d(y).
-2*(y - 3)*(y - 1)*(y + 1)
Let h be (-8*(-14)/1400)/((-1)/(-10905)). Let q = h + -870. Let 3/5*t**2 - q*t + 9/5 = 0. What is t?
1, 3
Let z be -3*(-116)/(-60) + 4/(-20). Let b be ((-4)/(-56))/(z/(-14)). Find h, given that -2/3 + b*h**2 + 1/2*h = 0.
-4, 1
Suppose 3087 = 1752*k - 417. Factor 2/3*c - 2/3*c**k + 20.
-2*(c - 6)*(c + 5)/3
Let a(p) = 6*p**2 - p. Let c(h) = h**3 + 112*h**2 + 3719*h - 7938. Let l(t) = 2*a(t) + c(t). Factor l(y).
(y - 2)*(y + 63)**2
Let c be -11 + 0 + (-138 - -151). Let g(x) be the first derivative of 1/5*x**5 + 0*x**c + 32 + 1/4*x**4 - 1/3*x**3 - 1/6*x**6 + 0*x. Factor g(q).
-q**2*(q - 1)**2*(q + 1)
Solve 16/5 + 22/5*z**2 + 46/5*z**3 + 4/5*z**5 - 10*z - 38/5*z**4 = 0.
-1, 1/2, 1, 8
Suppose -147*c + 1175 = 587. Solve 0*a + 3*a**3 + 0 + 3/4*a**c + 9/4*a**2 = 0.
-3, -1, 0
Let u(q) = 4*q**2 - 85*q + 90. Let b(m) = -9*m**2 + 168*m - 180. Let o(y) = 3*b(y) + 7*u(y). Let o(r) = 0. What is r?
1, 90
Suppose -132*q - 24*q + 1560 = 0. Let u(v) be the third derivative of -5/6*v**4 - 1/12*v**6 - 5/12*v**5 - 5/6*v**3 + 0*v + 0 + q*v**2. Solve u(a) = 0.
-1, -1/2
Find j, given that 29/3 + 1/6*j**2 + 31/6*j = 0.
-29, -2
Let z(d) be the second derivative of 5*d**4/12 - 4820*d**3 + 20909160*d**2 + 5*d - 136. Factor z(t).
5*(t - 2892)**2
Let r(n) be the first derivative of n**6/840 + n**5/140 - 5*n**4/84 + 59*n**2 + 153. Let q(v) be the second derivative of r(v). Factor q(z).
z*(z - 2)*(z + 5)/7
Let j(a) = -75*a - 3225. Let p be j(-43). Let o(n) be the third derivative of 1/240*n**6 + 0*n - 19*n**2 - 1/16*n**4 + 1/30*n**5 + p - 3/2*n**3. Factor o(r).
(r - 2)*(r + 3)**2/2
Let r = 141906 + -425716/3. Let g = 6 + -4. Factor -2/3*s**g + 10/3*s - 2 - r*s**3.
-2*(s - 1)**2*(s + 3)/3
Let l(g) be the second derivative of g**4/114 - 9*g**3/19 - 90*g**2/19 + 133*g + 2. Let l(q) = 0. Calculate q.
-3, 30
Let x = 1014375 - 1014372. Factor -5/2 + 1/4*d**x + 3/2*d**2 + 3/4*d.
(d - 1)*(d + 2)*(d + 5)/4
Let t be ((-2)/9 - (-1020)/459)*2. Let g(q) be the third derivative of q**t + 44*q**2 + 0*q + 1/75*q**5 + 30*q**3 + 0. Suppose g(n) = 0. What is n?
-15
Let a(q) be the second derivative of -80/3*q**4 + 128/3*q**3 - 2*q - 2/15*q**6 + 17/5*q**5 - 35 + 0*q**2. Solve a(y) = 0 for y.
0, 1, 8
Suppose 1447*k + 70 = 1482*k. Suppose -2/9*a**k + 14/9 + 4/3*a = 0. Calculate a.
-1, 7
Let p(b) be the second derivative of -b**7/49 - 19*b**6/70 - 3*b**5/20 + 19*b**4/28 + 9*b**3/14 - 7909*b. Suppose p(i) = 0. What is i?
-9, -1, -1/2, 0, 1
Suppose 55*b - 3*b = -19*b. Let v(j) be the first derivative of 0*j**2 + 0*j**3 + b*j + 31 - 1/12*j**6 + 1/10*j**5 + 0*j**4. Solve v(h) = 0.
0, 1
Let l(x) be the third derivative of -x**6/30 - 8*x**5/5 - 101*x**4/6 - 76*x**3 + 1037*x**2. Factor l(t).
-4*(t + 2)*(t + 3)*(t + 19)
Let c(g) = -4*g**2 + 12*g**3 - 7*g - 14*g**2 + g**3. Let a(q) = -14*q**3 + 19*q**2 + 6*q. Let l(t) = 3*a(t) + 4*c(t). Suppose l(n) = 0. What is n?
-1/2, 0, 2
Suppose 28*o + 21 = 77. Solve 738*p - 9*p**o + 8*p**2 + 40 - 710*p + 5*p**2 = 0 for p.
-5, -2
Suppose 4*z = -0*g - 2*g + 36, 4*z + g - 34 = 0. Suppose 0 = -3*u - 2*b + 6 + z, 3*u = -b + 10. Factor 0 + 1/5*a**3 + 1/5*a - 2/5*a**u.
a*(a - 1)**2/5
Let l(a) be the second derivative of 11/19*a**2 - 1 - 10/57*a**3 - 1/114*a**4 - 6*a. Factor l(x).
-2*(x - 1)*(x + 11)/19
Suppose 5*f = 116 - 101. Determine t, given that 70*t**2 - 5*t**4 - 5*t**5 - 11 - 179*t**f + 209*t**3 + 26 + 55*t = 0.
-1, 3
Factor 188*y + 1/2*y**2 - 1137/2.
(y - 3)*(y + 379)/2
Suppose -101*h + 12 = -95*h. Let x be h/((-80)/110) - 5*-1. Find b such that x*b**4 + 0 + 3/2*b**3 + 1/4*b**2 + 0*b = 0.
-1/3, 0
Suppose -350*o = -334*o - 32. Let g(c) be the second derivative of -1/4*c**4 + 21*c + 3/2*c**o + 0 + 0*c**3. Factor g(p).
-3*(p - 1)*(p + 1)
Let a(p) be the first derivative of -2/5*p**5 + 1/2*p**6 + 4 - 7/4*p**4 + 0*p - 2/3*p**3 + 0*p**2. Factor a(y).
y**2*(y - 2)*(y + 1)*(3*y + 1)
Let a(m) = 8*m - 8. Let r = -148 - -149. Let q be a(r). Determine j so that -10/13*j**3 + 6/13*j**2 + q + 2/13*j**5 + 2/13*j**4 + 0*j = 0.
-3, 0, 1
Let i(j) = -11*j**3 - 19*j**2 - 5*j + 13. Let u(b) = -5*b**3 - 9*b**2 - 2*b + 6. Suppose -14 = h + 27. Let t = -39 - h. Let q(d) = t*i(d) - 5*u(d). Factor q(a).
(a + 1)*(a + 2)*(3*a - 2)
Let a(r) be the third derivative of r**8/84 + 8*r**7/105 - 7*r**6/30 - 2*r**5/3 + 94*r**2 + 1. Factor a(b).
4*b**2*(b - 2)*(b + 1)*(b + 5)
Let r = -8028 + 8030. Factor 5/2*m**r + 30*m + 90.
5*(m + 6)**2/2
Let b(a) be the third derivative of -a**6/20 + 5*a**5/18 + 8*a**4/3 + 20*a**3/9 - 171*a**2 - 3. Factor b(q).
-2*(q - 5)*(q + 2)*(9*q + 2)/3
Let j(o) be the second derivative of -1/2*o**6 - 385/6*o**3 + 245*o**2 + 91*o + 0 - 655/12*o**4 + 41/4*o**5. Find f, given that j(f) = 0.
-1, 2/3, 7
Let -1074/7*u**3 + 0 - 192246/7*u**2 - 11470678/7*u - 2/7*u**4 = 0. Calculate u.
-179, 0
Suppose 19 = 11*i - 3. Suppose d = 5*x - 16, -4*x + 17 = i*d - 7. Let -3/4*k**3 + 0*k**2 + 0 + 3/4*k**d + 0*k = 0. What is k?
0, 1
Let x = -167/782 + 4/17. Let p = 233/138 - x. Find n, given that p*n**2 - 2/3*n - 1 = 0.
-3/5, 1
Let n(g) be the first derivative of g**5 - 5875*g**4/4 + 766360*g**3 - 149438240*g**2 - 301181440*g - 1470. Let n(s) = 0. Calculate s.
-1, 392
Let s = 28 - 30. Let l be (-19)/s - (-18)/36. Factor 6*a**2 - 3*a**5 - 5*a - 5 - 5*a**4 + 4*a**2 - 2*a**5 + l*a**3.
-5*(a - 1)**2*(a + 1)**3
Let i(z) be the second derivative of 5*z - 45/8*z**4 + 2025/4*z**3 + 5 + 1/40*z**5 - 91125/4*z**2. Factor i(k).
(k - 45)**3/2
Suppose -18*a + 25*a = 210. Let u be ((-7)/((-14)/(-3)))/(a/(-24)). Factor -u*o + 6/5*o**2 - 4/5 + 6/5*o**4 + 14/5*o**3.
2*(o + 1)**3*(3*o - 2)/5
Let c(g) be the second derivative of -1/10*g**5 + 9*g**2 + 11*g + 0 - 1/6*g**4 + 3*g**3. Factor c(x).
-2*(x - 3)*(x + 1)*(x + 3)
Let w(z) = 2*z - 11. Let f be w(8). Find h such that 3*h + 28*h**2 - 22 + 7*h + 18 - 68*h**4 - 30*h**f - 4*h**2 - 28*h**3 = 0.
-1, 1/3, 2/5
Let b(n) be the third derivative of n**7/210 + 23*n**6/60 + 143*n**5/20 - 575*n**4/6 + 1250*n**3/3 + 1275*n**2. Factor b(y).
(y - 2)**2*(y + 25)**2
Let v = -181 + 151. Let o be ((-8)/v)/(-7*(-12)/126). Solve -4/5*b + 0 + 2/