+ 1)/7
Suppose 20*h - 349324 = -349284. Factor -7/4*p - 3/2 - 2/3*p**h - 1/12*p**3.
-(p + 2)*(p + 3)**2/12
Let a(p) be the first derivative of -p**6/9 + 4*p**5/5 + 32*p**4/3 + 68*p**3/3 - 21*p**2 - 72*p - 3870. Find u, given that a(u) = 0.
-3, -1, 1, 12
Let n = 104 + -95. Suppose -n*h**3 + 49*h**2 - 13*h**2 + 43*h**2 - 20*h**2 + 8*h**3 = 0. What is h?
0, 59
Let p be (-49 - -79) + (-106)/4. Factor p*v**4 - v**3 + 0*v + 0*v**2 + 0 - 5/2*v**5.
-v**3*(v - 1)*(5*v - 2)/2
Let f(v) be the first derivative of -3*v**5/5 + 39*v**4/2 - 17*v**3 - 318*v**2 + 900*v - 2643. Factor f(o).
-3*(o - 25)*(o - 2)**2*(o + 3)
Let i(d) be the third derivative of -10*d**7/189 - 23*d**6/108 - 14*d**5/135 + 49*d**4/108 - 1506*d**2. Factor i(c).
-2*c*(2*c - 1)*(5*c + 7)**2/9
Suppose 31 = 4*s + w, -w = -s - 4 + 13. Let g(y) be the first derivative of -3*y + 3. Let q(z) = -z**3 + z**2 + z - 9. Let h(t) = s*g(t) - 3*q(t). Factor h(d).
3*(d - 1)**2*(d + 1)
Let n(k) = -22*k**2 - 8*k - 2. Let t(v) = v**2 + v. Let r(s) = -n(s) - 3*t(s). Let m be r(-2). Determine i so that -m*i**4 + 129*i**4 + 2*i**3 - 59*i**4 = 0.
-1, 0
Let n be (-44)/(-24)*-1*36/(-44). Factor -6*k**2 - 3 - n*k**3 - 15/2*k.
-3*(k + 1)**2*(k + 2)/2
Let m be -58*(-183)/150*-5. Let g = m + 357. What is c in g + 4*c + 2*c**3 - 46/5*c**2 = 0?
-2/5, 1, 4
Let s(j) be the third derivative of j**6/840 + 13*j**5/420 + 47*j**4/168 + 5*j**3/6 + 6015*j**2. Factor s(k).
(k + 1)*(k + 5)*(k + 7)/7
Suppose 0 = 2*w + 5*k - 7 - 28, -30 = -4*w - 2*k. Factor 34*c**2 - 48*c - 118*c**2 - 11*c**4 - 3*c**4 - 52*c - c**w - 56*c**2 - 69*c**3.
-c*(c + 2)**2*(c + 5)**2
Solve -31/2*b**4 - 3/2*b**5 + 0 - 5/3*b - 25/6*b**3 + 49/6*b**2 = 0.
-10, -1, 0, 1/3
Factor 844*c - 7220 - 309*c - 18*c**2 + 113*c**3 + 1289*c - 112*c**3 - 63*c**2.
(c - 38)**2*(c - 5)
Suppose 0 = -m + 4*m. Suppose -3185*f = -3183*f - 8. Factor 4*a + f*a**2 + 0*a**2 + m*a**2 + 12*a.
4*a*(a + 4)
Let x(z) be the second derivative of z**5/80 - 91*z**4/8 + 24843*z**3/8 + 3140*z. Factor x(r).
r*(r - 273)**2/4
Find y such that 1/5*y**5 + 24/5*y**3 + 0 + 0*y - 16/5*y**2 - 9/5*y**4 = 0.
0, 1, 4
Let j(u) be the third derivative of -u**6/540 - 5*u**5/18 - 481*u**4/36 - 1369*u**3/27 - 139*u**2 + 2*u. Factor j(k).
-2*(k + 1)*(k + 37)**2/9
Let z(l) be the first derivative of 5*l**6/6 - 13*l**5 + 135*l**4/2 - 310*l**3/3 - 275*l**2/2 + 375*l - 572. Suppose z(v) = 0. Calculate v.
-1, 1, 3, 5
Let w = 254892 + -1019517/4. Find r, given that 3/4*r**3 + 72*r + 135 + w*r**2 = 0.
-6, -5
Let r(f) = -1 + 17 - f - 9 - 8. Let v(q) = -4*q**2 - 46*q - 30. Let d(z) = -z**2 - 9*z - 6. Let c(s) = -14*d(s) + 3*v(s). Let b(h) = c(h) - 6*r(h). Factor b(p).
2*p*(p - 3)
Suppose 5*x = 1040 - 335. What is t in 20 - 130*t**3 - 46*t + 40*t**4 + x*t + 5*t + 45*t**2 = 0?
-1/2, -1/4, 2
Suppose -9909*y - 22 = -9912*y - 10. Let u(q) be the second derivative of 6*q**3 + 0 + 4*q**2 + 7/3*q**y - 3*q. Factor u(v).
4*(v + 1)*(7*v + 2)
Let r(m) be the third derivative of -m**5/270 + m**4/9 + 220*m**3/27 - 11*m**2 + 11*m. Find z, given that r(z) = 0.
-10, 22
Let o(v) = -27*v - 41 - v**2 - 2*v**2 - 29 + 19. Let r(c) = -2*c + 3. Let g(w) = w - 2. Let x(q) = 5*g(q) + 3*r(q). Let y(d) = -o(d) + 3*x(d). Factor y(u).
3*(u + 4)**2
Let k(x) be the third derivative of 0 + 1/30*x**6 - 1/6*x**4 + 8*x - 1/15*x**5 + 2/3*x**3 - x**2. Let k(q) = 0. Calculate q.
-1, 1
Let g(y) be the third derivative of -y**6/480 + y**5/24 + 27*y**4/32 - 15*y**3/4 + 1842*y**2. Let g(a) = 0. What is a?
-6, 1, 15
Let d(y) be the third derivative of -y**5/240 - y**4/16 - 3*y**3/8 - 680*y**2. Find m such that d(m) = 0.
-3
Let i(c) be the third derivative of 0 - 3*c**2 + 1/4*c**4 + 4*c + 0*c**3 - 1/20*c**5 - 1/40*c**6. Determine d so that i(d) = 0.
-2, 0, 1
Let t = 1629/199 + -14263/1791. What is r in 98/9 + 32/3*r - t*r**2 = 0?
-1, 49
Let m(y) = 15*y - 387. Let s be m(26). Let l(c) be the first derivative of 22 - 2/15*c**s - 4/5*c + 3/5*c**2. Factor l(i).
-2*(i - 2)*(i - 1)/5
Suppose -w + 4*l = 168, -3*w + l - 304 - 200 = 0. Let v be -2 + -4 + w/(-16). Factor 0 + 0*a - 3*a**2 + v*a**4 + 3/2*a**3.
3*a**2*(a + 1)*(3*a - 2)/2
Let q(z) = 10*z**3 + z**2 - z + 1. Let n be q(1). Suppose -12 = -n*s + 32. Factor -10*x**s - 5*x + 10*x**2 - 2292*x**3 + 2292*x**3 + 5*x**5.
5*x*(x - 1)**3*(x + 1)
Let p = -97/90 - -71/45. Let o = 133/4 + -33. Factor 0 - o*b**2 - p*b**3 + 0*b - 1/4*b**4.
-b**2*(b + 1)**2/4
Suppose 0 = -36*m + 12 + 60. Let a(w) be the third derivative of 0*w**4 + 0*w**5 + 0*w + 1/540*w**6 + 0*w**3 + 0 - 5*w**m + 1/945*w**7. Factor a(n).
2*n**3*(n + 1)/9
Suppose -2*w + 4*o - 12 = 2*w, 1 = 3*w - o. Factor 427*h**5 - 5*h**4 - 7*h**3 + w*h**3 - 417*h**5.
5*h**3*(h - 1)*(2*h + 1)
Suppose -220*z = -56*z - 492. Let m(k) be the third derivative of k**z - 1/40*k**5 + 0*k + 6*k**2 - 3/16*k**4 + 1. What is c in m(c) = 0?
-4, 1
Factor 2*a**2 + 279010 + 39858 - 2152*a + 260020.
2*(a - 538)**2
Let b be (-59)/(4248/(-224)) - (-3)/(-1). Let r(j) be the first derivative of 1/6*j**2 - 14 + 0*j + b*j**3 - 1/12*j**4 - 1/15*j**5. Factor r(a).
-a*(a - 1)*(a + 1)**2/3
Let w be (-8)/(-4)*-2 - -6. Let s(q) = 4*q**2 + 29*q - 86. Let o(m) = -4*m**2 - 30*m + 84. Let l(x) = w*s(x) + 3*o(x). Factor l(k).
-4*(k - 2)*(k + 10)
Let o(z) = 87*z - 2694. Let i be o(31). Let w(t) be the first derivative of 0*t + 0*t**2 - 21/32*t**4 + 17 + 3/20*t**5 + 1/16*t**6 + 1/2*t**i. Factor w(a).
3*a**2*(a - 1)**2*(a + 4)/8
Let o(x) = -289*x + 11. Suppose -70*v = -64*v + 36. Let a be o(v). Let 16*t + 7*t**4 + 1741 - 13*t**3 - 3*t**3 - 3*t**2 - a = 0. Calculate t.
-1, 2/7, 1, 2
Let m(o) be the third derivative of 324*o**2 + 1/90*o**5 + 0*o + 784/9*o**3 - 14/9*o**4 + 0. Find u, given that m(u) = 0.
28
Let a(k) = 308*k**3 - 9236*k**2 - 18532*k - 9276. Let g(s) = -48*s**3 + 1421*s**2 + 2851*s + 1427. Let f(p) = -5*a(p) - 32*g(p). Factor f(j).
-4*(j - 179)*(j + 1)**2
Let t(i) be the second derivative of -85*i + 1/10*i**6 - 18*i**3 + 6*i**4 + 0*i**2 + 33/20*i**5 + 0. What is u in t(u) = 0?
-6, 0, 1
Let v = -18994 + 18996. Let m(z) be the third derivative of 1/75*z**6 + 11/60*z**4 + 2/15*z**3 - 29*z**v + 0*z + 0 + 13/150*z**5. Factor m(c).
2*(c + 1)*(c + 2)*(4*c + 1)/5
Let n(b) = -b**3 + 6*b - 291*b**2 - 13 + 275*b**2 - 22*b. Let d be n(-15). Determine a so that -a**2 + 18*a**d + 3*a - 13*a**2 + a = 0.
-1, 0
Let f(v) be the first derivative of -4*v**5/5 - 102*v**4 - 384*v**3 + 1772*v**2 - 1980*v + 3282. Find r, given that f(r) = 0.
-99, -5, 1
Let q(c) be the second derivative of 21*c + 1/35*c**5 - 4/7*c**4 + 24/7*c**2 + 0 - 2/21*c**3. Solve q(g) = 0 for g.
-1, 1, 12
Let n(l) be the first derivative of 61 - 1/7*l**3 - 27/14*l**2 + 3/28*l**4 + 27/7*l. Factor n(o).
3*(o - 3)*(o - 1)*(o + 3)/7
Suppose 409*w + 687*w - 1684 = 254*w. Determine k, given that 4*k + 11/3 + 1/3*k**w = 0.
-11, -1
Factor 3342/5*w - 1672/5 - 2/5*w**3 - 1668/5*w**2.
-2*(w - 1)**2*(w + 836)/5
Let z(f) be the first derivative of -11/6*f**4 - 1/18*f**6 - 4/3*f - 17/6*f**2 - 73 - 8/15*f**5 - 28/9*f**3. Find o such that z(o) = 0.
-4, -1
Factor 0*f**4 - 15639*f**3 + f**2 - f - 3*f + 2*f**4 + 15646*f**3 + 3*f**2.
f*(f + 2)**2*(2*f - 1)
Let v = -1484 - -1488. Suppose -r**v + 0*r - r**3 - 1/4*r**5 + 0*r**2 + 0 = 0. What is r?
-2, 0
Suppose -1/4*n**4 + 0*n - 39/2*n**2 + 0 - 29/4*n**3 = 0. What is n?
-26, -3, 0
Let y be ((-28)/(-12))/(85*(-20)/(-6120)). Solve -y*i + 0 + 3/5*i**2 = 0.
0, 14
Find a such that -2/11*a - 1/11*a**2 + 1/11 + 2/11*a**3 = 0.
-1, 1/2, 1
Let u(g) be the first derivative of -g**5/90 - g**4/9 + 7*g**3/27 + 20*g + 20. Let k(d) be the first derivative of u(d). What is f in k(f) = 0?
-7, 0, 1
Let p(m) be the second derivative of -2*m**5/5 - 5*m**4/6 + 2*m**3/3 + 3*m**2 - 13*m + 27. Factor p(u).
-2*(u + 1)**2*(4*u - 3)
Let m(n) = -23*n**2 + 17*n - 12. Let y(g) = 40*g**2 + 4*g + 6 - 12*g - 7*g**2 - 23*g**2. Let z(s) = 4*m(s) + 9*y(s). Let z(c) = 0. Calculate c.
-3, 1
Let i(d) be the first derivative of -7/3*d**3 + 1/1980*d**6 + 0*d**2 + 5/132*d**4 - 5 - 1/110*d**5 + 0*d. Let r(h) be the third derivative of i(h). Factor r(q).
2*(q - 5)*(q - 1)/11
Suppose 0*n - 39 = -n - 5*x, -3*n + 84 = 4*x. Suppose -n*v = -104 + 32. Suppose -1/4*r + 0 + 1/2*r**v + 0*r**4 - 1/4*r**5 + 0*r**2 = 0. Calculate r.
-1, 0, 1
Let j(n) be the third derivative of 0*n