+ 9998. Let s(f) = -15*c(f) - 6*i(f). Factor s(y).
-3*(y - 100)**2
Suppose 28/5*a - 58/5*a**2 + 0 + 4/5*a**3 = 0. Calculate a.
0, 1/2, 14
Suppose 4*s = -4*p + 4, -3*p + 40 = 2*p - 2*s. Let a be 3*(145/(-330) + 3/p). Factor -a*k**4 + 0 + 2/11*k**3 + 2/11*k**2 - 2/11*k.
-2*k*(k - 1)**2*(k + 1)/11
Let w be ((-85)/35 + 1)/((-2)/14). Let j be ((-8)/w)/((-45)/375). Let -4/3*o**3 - 4 - 4/3*o**2 + j*o = 0. Calculate o.
-3, 1
Let t be (4/6)/(66/(-6) + -3 - -16). Let -t*c + 0 + 1/3*c**3 + 1/3*c**4 - 1/3*c**2 = 0. Calculate c.
-1, 0, 1
Factor -110/17*z - 54/17 - 2/17*z**3 - 58/17*z**2.
-2*(z + 1)**2*(z + 27)/17
Let h(p) be the second derivative of -p**4/3 + 28*p**3/3 - 98*p**2 - 8*p + 1. Find r such that h(r) = 0.
7
Let v(d) be the first derivative of 2*d**3/15 - 8*d**2/5 + 6*d + 104. Determine t, given that v(t) = 0.
3, 5
Suppose 27*g = 30*g. Let b(u) be the third derivative of 2/3*u**3 - 1/15*u**5 + g*u - 2*u**2 + 1/4*u**4 + 0. What is a in b(a) = 0?
-1/2, 2
Let t = 13527 - 13525. Factor 10/9*l**4 + t*l**3 + 4/9*l + 2/9*l**5 + 0 + 14/9*l**2.
2*l*(l + 1)**3*(l + 2)/9
Let g be 1/(-10) - (-24 + 7648/320). What is j in 0*j**2 + 0 - 2/11*j**4 - 2/11*j**3 + g*j = 0?
-1, 0
Let p = 27/146 - -165/292. What is n in 3/4*n**4 + 3/2*n**3 - 3/2*n**2 - p*n**5 - 3/4*n + 3/4 = 0?
-1, 1
Let s(k) be the third derivative of 5*k**8/336 + k**7/6 + 2*k**6/3 + k**5 - 7*k**2 - 20. Factor s(t).
5*t**2*(t + 2)**2*(t + 3)
Suppose 0 = 2*z + 4*g + 9 - 1, -4*g - 6 = 3*z. Let c = -44362/3 - -14788. Factor 2/3*p**z - 4/3*p + c.
2*(p - 1)**2/3
Let o be ((-88)/396)/(-1 + (-8)/18 - -1). Factor z**2 + 1/2*z**3 - o*z - 1.
(z - 1)*(z + 1)*(z + 2)/2
Determine r, given that 0*r**3 + 0*r**2 - 1/2*r**4 + 0*r + 0 - 1/2*r**5 = 0.
-1, 0
Suppose 0 = -2*j + 4*f - 16, -j = 2*j - f - 1. Let t(d) be the first derivative of 0*d**3 - 2 + 0*d**j - 9/5*d**5 - 5/2*d**6 + 3/2*d**4 + 0*d. Factor t(b).
-3*b**3*(b + 1)*(5*b - 2)
Let h(y) be the first derivative of -1 - 2/3*y**3 + 0*y - 7*y**2. Suppose h(n) = 0. Calculate n.
-7, 0
Solve -88*s**4 + 280*s**2 + 1964*s**3 - 341*s**4 - 80*s**5 + 24*s**5 - 2757*s**3 - 133*s**4 + 132*s = 0 for s.
-33/4, -2, -2/7, 0, 1/2
Let k(q) = 139*q + 278. Let z be k(-2). Let 0*f**3 + z + 1/8*f**4 - 3/8*f**2 + 1/4*f = 0. What is f?
-2, 0, 1
Let f(a) be the second derivative of -a**6/10 - a**5/5 - a**4/12 - 136*a. Factor f(c).
-c**2*(c + 1)*(3*c + 1)
Let t be 3/2 + 70/(-60). Let d be 2/(-8) - (-532)/912. Factor d - 4/3*u - t*u**2 + 4/3*u**3.
(u - 1)*(u + 1)*(4*u - 1)/3
Let p(h) = 2*h**2 - 37*h - 15. Let r be p(19). Factor 12*u**2 + 5*u**2 - 10*u**3 + 14*u**3 - 8 - 5*u**2 - 4*u**4 - r*u.
-4*(u - 2)*(u - 1)*(u + 1)**2
Let w(k) = 51*k**2 - 360*k - 351. Let m(c) = -7*c**2 + 51*c + 50. Let v(s) = 15*m(s) + 2*w(s). Factor v(g).
-3*(g - 16)*(g + 1)
Let d(m) be the first derivative of -1/2*m**3 + 1/4*m**4 - 2*m**2 - 2*m + 21 + 1/10*m**5. Factor d(n).
(n - 2)*(n + 1)**2*(n + 2)/2
Factor 155/2*z + 25/4*z**2 + 385/4.
5*(z + 11)*(5*z + 7)/4
Let b(z) be the first derivative of -12/5*z**5 + 0*z + 7*z**4 + 8*z**3 + 0*z**2 + 5. What is t in b(t) = 0?
-2/3, 0, 3
Let n(j) be the second derivative of -j**8/560 + j**7/140 - j**6/120 + 19*j**3/6 + 18*j. Let y(b) be the second derivative of n(b). Solve y(a) = 0.
0, 1
Let x = -20 + 21. Let c be (0 + 4)*(-3)/x. Let b(t) = -t. Let g(u) = 3*u**2 - 18*u. Let v(d) = c*b(d) + g(d). Let v(o) = 0. Calculate o.
0, 2
Suppose 4*g = -g - a + 517, 4*a = 4*g - 404. Factor -119*r**2 + 6*r + 14 + g*r**2 - 12*r**3 + 6*r + 2*r**4.
2*(r - 7)*(r - 1)*(r + 1)**2
Let w = -13 + 17. Let j be w/(-14) + 64/28. Factor -4*o - 7*o + 14*o**j + 5*o**4 + 2 + 7*o**2 - 17*o**3.
(o - 1)**3*(5*o - 2)
Let l(z) be the second derivative of -z**5/120 - z**4/16 + z**3/3 + 7*z**2 - 28*z. Let h(t) be the first derivative of l(t). Determine m so that h(m) = 0.
-4, 1
Let x(a) be the second derivative of -5*a**6/6 + 3*a**5 - 5*a**4/3 + 30*a. Solve x(o) = 0 for o.
0, 2/5, 2
Let p(w) = -2*w**3 - 4*w**2 - 4*w - 2. Let m be 2/4*0/3. Suppose 6 = 3*c - m*c. Let g(v) = -v**3 - v**2 - v - 1. Let j(b) = c*p(b) - 6*g(b). Factor j(z).
2*(z - 1)**2*(z + 1)
Let p(z) be the first derivative of -19*z**3 + 3*z**2 + 0*z + 51/4*z**4 + 29. Factor p(n).
3*n*(n - 1)*(17*n - 2)
Solve -138*a + 14778 - a**2 + 14779 - 29557 = 0 for a.
-138, 0
Find d, given that 5*d**5 - 12*d**4 + 1/4*d**3 + 1 + 41/4*d**2 - 6*d = 0.
-1, 2/5, 1/2, 2
Let g(k) be the third derivative of -k**6/40 + 9*k**5/20 - 9*k**4/4 + 100*k**2 + 2. Factor g(q).
-3*q*(q - 6)*(q - 3)
Suppose -5*n - 19 + 57 = 4*l, -20 = 2*l - 4*n. Factor 5/4*v**5 - 5/2*v**3 + 0*v**4 + 5/4*v + 0 + 0*v**l.
5*v*(v - 1)**2*(v + 1)**2/4
Let v(p) be the first derivative of -1/12*p**4 + 0*p - 12 + 5*p**2 + 1/60*p**5 + 1/6*p**3. Let b(t) be the second derivative of v(t). Let b(r) = 0. What is r?
1
Let d = 443/82 - -87509/574. Let k = 14743/91 - d. Let 18/13*x**2 - 54/13*x + k - 2/13*x**3 = 0. What is x?
3
Factor -10/13*a**4 + 4/13*a**2 + 0 + 0*a + 6/13*a**3.
-2*a**2*(a - 1)*(5*a + 2)/13
Solve -1/2 - 1/2*a**4 - 1/4*a**5 + 1/2*a**3 - 1/4*a + a**2 = 0 for a.
-2, -1, 1
Let z(v) be the second derivative of 2/5*v**2 + 1/20*v**4 + 0 - 8*v + 13/30*v**3. Find x such that z(x) = 0.
-4, -1/3
Suppose -3*b = -0*x + 4*x - 44, 67 = 4*b - 3*x. Factor -14*q + 4*q**4 - 1 - b*q**2 - 3 + 2*q**5 - 65*q**3 + 61*q**3.
2*(q - 2)*(q + 1)**4
Let d(j) = -3*j**3 + 2*j**2 + j - 4. Let a = 39 + -40. Let h(q) = -q**3 + q**2 - q - 1. Let k(v) = a*d(v) + 2*h(v). Find g, given that k(g) = 0.
-2, 1
Let d be (-6)/(-540)*18*4. Let 6/5*g**4 - 2*g**3 + 6/5*g + 4/5*g**5 - 2*g**2 + d = 0. Calculate g.
-2, -1, -1/2, 1
Let h(k) be the second derivative of -3*k**5/20 - 3*k**4/2 + k**3/2 + 9*k**2 - 2*k - 10. Suppose h(r) = 0. What is r?
-6, -1, 1
Let j(r) be the second derivative of 57*r + 0*r**3 + 0*r**2 + 0 - 7/40*r**5 + 0*r**4 + 1/60*r**6. Factor j(s).
s**3*(s - 7)/2
Let z(t) be the second derivative of -t**6/600 - t**5/40 + t**3/2 - 13*t. Let k(u) be the second derivative of z(u). Factor k(h).
-3*h*(h + 5)/5
Let k(m) = m**3 + 6*m**2 + m - 2. Let i be k(-4). Determine v, given that 24*v**2 + 12 + 3*v**4 - 13*v**2 + 18*v**3 + i*v**2 + 36*v + 2*v**2 = 0.
-2, -1
Let j(s) be the first derivative of 3/4*s**4 + 9/2*s**2 + 3*s + 3*s**3 + 11. Determine f, given that j(f) = 0.
-1
Let y(p) = 24*p**4 + 12*p**3 + 216*p**2 - 278*p + 114. Let h(d) = -d**4 - 3*d**3 - d**2 + 2*d - 1. Let q(f) = 44*h(f) + 2*y(f). What is u in q(u) = 0?
1, 2, 23
Let l(x) be the third derivative of -x**7/945 - x**6/135 - x**5/54 - x**4/54 + 2*x**2 + 13*x. Find p such that l(p) = 0.
-2, -1, 0
Let s(c) be the first derivative of -c**4/20 + 16*c**3/15 + 38*c**2/5 + 16*c - 997. Determine t so that s(t) = 0.
-2, 20
Let z(j) = -5*j**3 + 5*j**2 - 7*j + 7. Let q be (-48)/15 - (-2)/10. Let f(r) = 9*r**3 - 11*r**2 + 15*r - 13. Let g(m) = q*f(m) - 5*z(m). Solve g(c) = 0 for c.
1, 2
Let o be 6/(-48)*((-24)/(-7))/(-3). Let z(x) be the first derivative of -o*x**2 - 2/35*x**5 + 1/14*x**4 + 0*x - 1 + 2/21*x**3. Find n, given that z(n) = 0.
-1, 0, 1
Let w(b) be the third derivative of 1/840*b**7 - 37*b**2 - 1/12*b**3 - 1/32*b**4 + 1/240*b**5 + 0 + 1/160*b**6 + 0*b. Find x such that w(x) = 0.
-2, -1, 1
Let x(j) = -6*j**3 - 18*j**2 + 36*j + 57. Let n(q) = 81*q**2 + 28 + 70*q**2 - 160*q**2 + 18*q - 3*q**3. Let c(m) = -9*n(m) + 4*x(m). What is o in c(o) = 0?
-4, -1, 2
Let c(v) = -5*v**5 - 30*v**4 + 40*v**2 + 5*v + 5. Let b(r) = 2*r**5 + 15*r**4 - 20*r**2 - 3*r - 3. Let l(q) = 5*b(q) + 3*c(q). Determine h, given that l(h) = 0.
-2, 0, 1
Let w = 14 + -1. Suppose -9 = 3*b - 2*l - 3*l, 5*b - w = -l. Factor -9/8*h**b + 0*h**3 + 0 + 3/4*h + 3/8*h**4.
3*h*(h - 1)**2*(h + 2)/8
Let s(y) be the second derivative of y**6/60 + y**5/30 - y**4/12 - y**3/3 - y**2 + 9*y. Let i(n) be the first derivative of s(n). Let i(g) = 0. What is g?
-1, 1
Suppose 4*y = -16, q + 18 - 1 = -3*y. Let s be (0/(-4))/(5/q). Factor -2*b**2 + 2/3*b**3 + s + 0*b.
2*b**2*(b - 3)/3
Let p(o) be the second derivative of -o**9/5040 - o**8/1344 + o**7/1260 + o**4/2 - 21*o. Let l(v) be the third derivative of p(v). Factor l(g).
-g**2*(g + 2)*(3*g - 1)
Let q(d) be the first derivative of -d**7/105 - d**6/15 - d**5/15 + d**4/3 + d**3 - 2*d**2 + 20. Let m(p) be the second derivative of q(p). Factor m(x).
-2*(x - 1)*(x + 1)**2*(x