 Let t = -122 + q. Factor -1692 + 1692 + t*v - 7*v**3 + 5*v**2.
-v*(v - 1)*(7*v + 2)
Let b(m) be the first derivative of -1054729*m**3 + 9243*m**2 - 27*m + 6217. Factor b(u).
-3*(1027*u - 3)**2
Let y be (0 - -1)*(-3)/18*-8. Let i be ((-18)/126*0)/1. Solve -y*a**2 + 0*a + 2/3*a**3 + i = 0.
0, 2
Let d(j) = j**3 + 21*j**2 - 54*j - 65. Let n(c) = -c**3 - 25*c**2 + 53*c + 65. Let i(v) = 4*d(v) + 3*n(v). Determine o, given that i(o) = 0.
-13, -1, 5
Let f(z) be the first derivative of z**6/30 + z**5/5 - z**4/2 - 2*z**3/3 + 5*z**2/2 + 8*z + 62. Let u(g) be the first derivative of f(g). Factor u(x).
(x - 1)**2*(x + 1)*(x + 5)
Let y be 4/2 - (7632/(-20))/2. Let g = 193 - y. Factor -g*c**4 + 0*c**3 + 0 + 0*c + 1/5*c**5 + 0*c**2.
c**4*(c - 1)/5
Let b(s) be the third derivative of s**5/30 - 115*s**4/12 + 38*s**3 + 1990*s**2. Let b(y) = 0. What is y?
1, 114
Let z be (-3)/(-8) + (-162)/480. Let s(n) be the third derivative of z*n**5 + 25*n**2 + 9/16*n**4 + 0*n + 9/2*n**3 + 1/960*n**6 + 0. What is x in s(x) = 0?
-6
Let d be 4/(3 + (-4 - -3)). Solve 44*c**2 - 22 - 45*c**d + 45*c - 32*c = 0 for c.
2, 11
Let m(r) be the third derivative of -8/45*r**5 - 31*r + 5/6*r**4 + 0 - 23/270*r**6 + 4/27*r**3 - r**2. Suppose m(g) = 0. Calculate g.
-2, -1/23, 1
Let u(k) = -2*k**3 - 13*k**2 + 13*k - 2. Let o be u(-10). Suppose f + 5*r - 404 = -120, -4*r + o = 2*f. Factor -287*l**3 - 3*l**5 + f*l**3 - 4*l**4 + 10*l**4.
-3*l**3*(l - 1)**2
Let w(n) be the third derivative of n**6/180 - 431*n**5/135 - 16*n**4/3 + 2982*n**2. Suppose w(o) = 0. What is o?
-2/3, 0, 288
Let d(c) be the second derivative of -c**4/84 - 29*c**3/6 + 309*c**2/7 + 167*c. Factor d(k).
-(k - 3)*(k + 206)/7
Suppose -63*l = -57*l - 12. Suppose -3*j - 3*j = -l*j. Factor 3/4*g**3 + 0 + 0*g + j*g**2.
3*g**3/4
Let o(a) be the second derivative of -a**6/1440 + a**4/6 - 5*a**3/6 - a**2 - 132*a. Let g(t) be the second derivative of o(t). Factor g(u).
-(u - 4)*(u + 4)/4
Let g(a) be the first derivative of -7*a**5/10 + 19*a**4/6 - 8*a**3/3 - 4*a**2 + 72*a - 169. Let w(s) be the first derivative of g(s). Factor w(m).
-2*(m - 2)*(m - 1)*(7*m + 2)
Factor -263190*b - 3*b**2 - 103 + 2*b**2 + 263086*b.
-(b + 1)*(b + 103)
Let g be (-63)/(-7) + (-2 - (-4 - -7)). Find n such that -97*n**5 - 3*n**g + n**4 + 101*n**5 + 6*n**4 = 0.
-1, 0
Let v(y) = y. Let f(p) = -p**2 - 3*p - 4. Suppose -7*s + 16 - 9 = 0. Let b(l) = s*f(l) - v(l). Factor b(m).
-(m + 2)**2
Find m such that -5*m**3 - 253*m**2 - 704*m**2 - 608*m**2 = 0.
-313, 0
Let k be ((-5)/(-15))/(13/78). Find l, given that -1001 - 48*l**3 - 384*l + 380*l**k - 1027 + 2108 - 28*l**4 = 0.
-5, 2/7, 1, 2
Solve -3*a**3 + 146 - 36*a**2 + 1681*a - 1636*a - 68 = 0.
-13, -1, 2
Let d(s) be the first derivative of 128*s + 163 + 1/4*s**4 + 16*s**2 - 14/3*s**3. Factor d(v).
(v - 8)**2*(v + 2)
Suppose -6*j = -2 - 94. Let b = 46 - j. Find h, given that 6*h**2 + h + 3*h - h**2 + h - b = 0.
-3, 2
Factor -1/2*z**2 - 3/2*z + 9.
-(z - 3)*(z + 6)/2
Let t(z) be the first derivative of -z**4 + 2*z**2 + 1166. Determine g, given that t(g) = 0.
-1, 0, 1
Let m(h) be the first derivative of -h**5/50 - 2*h**4/15 - 4*h**3/15 - 131*h - 105. Let f(w) be the first derivative of m(w). What is u in f(u) = 0?
-2, 0
Let g(w) = -6*w**3 + 68*w**2 + 286*w + 350. Let i(m) = 5*m**3 - 67*m**2 - 286*m - 348. Let p(l) = 6*g(l) + 7*i(l). Solve p(c) = 0 for c.
-56, -3, -2
Factor -1227 - 3774*s - 7856 - 207*s**2 + 45*s**2 - 10083 - 2*s**3.
-2*(s + 7)*(s + 37)**2
Let n(o) be the first derivative of -o**6/18 - 268*o**5/15 - 797*o**4/12 - 530*o**3/9 - 5554. Find j, given that n(j) = 0.
-265, -2, -1, 0
Let y = 22/6219 - 470747/49752. Let q = 34/3 + y. Let -q*a + 3/8*a**2 - 9/4 = 0. Calculate a.
-1, 6
Let x(k) be the third derivative of 175/24*k**4 - 1/12*k**5 + 0 + 3*k - 85/3*k**3 + 3*k**2. Factor x(m).
-5*(m - 34)*(m - 1)
Suppose -p = -95 - 164. Let f = p + -259. Solve -2/7*o**2 - 4/7*o**3 + f - 2/7*o**4 + 0*o = 0.
-1, 0
Let z = -80 + 86. Let z*s**3 - 2*s**2 - 9*s**4 - 1669*s + 23*s**2 + 1675*s = 0. Calculate s.
-1, -1/3, 0, 2
Let f be (-237)/12 + -5 - (-2 - 0). Let c = f + 23. Suppose c*x + 0 - 1/4*x**2 = 0. What is x?
0, 1
Let g(s) be the third derivative of -25*s**2 + 7/5*s**5 + 2/35*s**7 + 5/2*s**4 - 2*s + 8/3*s**3 + 0 + 13/30*s**6. Determine j, given that g(j) = 0.
-4/3, -1
Suppose 0 = 34254*o - 34265*o. Let t(w) be the first derivative of -51 + 15*w**2 + o*w - 5/4*w**4 + 5/3*w**3. Factor t(y).
-5*y*(y - 3)*(y + 2)
Let k be (3656/4570)/(-2*2/(-20)). Let y(q) be the third derivative of 0*q + 2/35*q**5 + 1/6*q**k + 0 + 2/21*q**3 - 15*q**2. Find r such that y(r) = 0.
-1, -1/6
Let t(k) be the first derivative of -402*k**3 + 1599*k**2/4 + 3*k - 3075. Factor t(b).
-3*(3*b - 2)*(268*b + 1)/2
Suppose 2*u + 0*u = 2. Suppose v - u = -3*l, 2*l + 15 = 4*v - 3. What is a in -10*a**3 + 4*a - 3*a**v + a**3 + 3*a**2 + 2*a + 3*a**3 = 0?
-2, -1, 0, 1
Determine y so that 56/3 - 6*y**2 + 2/15*y**4 + 2/15*y**3 - 194/15*y = 0.
-5, -4, 1, 7
Let f be 1 + (-2 - 25/(-5)) + -3. Let g = -3/4 + f. Factor 0*s + 0 + g*s**2.
s**2/4
Let c be 8 - (-24)/5*10/(-7). Let d = -38 + 42. Determine s, given that -18/7*s**2 + 0*s + c - 4/7*s**3 + 6/7*s**d = 0.
-1, 2/3, 2
Let r(n) be the third derivative of 0*n + 1/168*n**7 + 0*n**3 - 11/96*n**6 + 0 + 19/48*n**5 - 97*n**2 - 15/32*n**4. Let r(t) = 0. Calculate t.
0, 1, 9
Let v be (-5159)/42210*(2 - (-339)/(-165)). Let a(d) be the second derivative of 1/20*d**4 + 0*d**2 + v*d**6 + 3/100*d**5 + 0 + 1/30*d**3 + 30*d. Factor a(g).
g*(g + 1)**3/5
Factor -87/4*h**3 + 125/2*h**2 + 30 + 1/4*h**5 + 2*h**4 - 73*h.
(h - 2)**3*(h - 1)*(h + 15)/4
Let x(t) = 155*t**3 - 920*t**2 + 880*t - 100. Let f(u) = 232*u**3 - 1380*u**2 + 1319*u - 150. Let i(z) = 5*f(z) - 7*x(z). Suppose i(l) = 0. What is l?
2/15, 1, 5
Let j = -402512/7 + 57997. Let w = j + -495. Find b, given that w*b**2 - 6/7*b + 4/7 = 0.
1, 2
Let r(u) be the first derivative of u**6/1800 - u**5/100 - 2*u**3/3 - 4*u**2 + 27. Let b(j) be the third derivative of r(j). Factor b(g).
g*(g - 6)/5
Let o = 333059 + -1665277/5. Factor -39/5*c - 9/5*c**3 + o + 29/5*c**2 + 1/5*c**4.
(c - 3)**2*(c - 2)*(c - 1)/5
Suppose 0 = -5*c + 2*n + 29 - 3, 0 = 5*n + 15. Determine f so that -1/2*f**5 - 3/2*f**c + 0*f + 0 + 2*f**2 + 0*f**3 = 0.
-2, 0, 1
Solve 4/5*u - 1/5*u**4 + 3/5*u**3 - 24/5 + 18/5*u**2 = 0.
-2, 1, 6
Let j(d) = -2*d**4 + d**3 + d**2 - 2*d + 1. Let n(m) = -7*m**4 + 246*m**3 - 489*m**2 + 238*m + 6. Let g(p) = -6*j(p) + n(p). Suppose g(w) = 0. What is w?
-50, 0, 1
Let p(v) be the second derivative of v**4/96 + 491*v**3/48 - 123*v**2/4 + 2974*v. Factor p(g).
(g - 1)*(g + 492)/8
Let j = -14 + 36. Let l = j + -20. Let 4*m - 4*m**3 - 4*m**4 - 3*m**4 - 4*m**4 - l + 13*m**4 = 0. Calculate m.
-1, 1
Let t = -23513/6 + 23515/6. Let w(b) be the second derivative of 0 - t*b**3 + 0*b**2 - 10/21*b**4 + 1/147*b**7 - 9/35*b**5 + 38*b - 4/105*b**6. Solve w(a) = 0.
-1, 0, 7
Let p(v) be the second derivative of v**4/42 + 11*v**3/21 + 10*v**2/7 + 2309*v + 2. What is x in p(x) = 0?
-10, -1
Let o(q) be the second derivative of q**4/30 + 548*q**3/15 + 75076*q**2/5 - 464*q. Factor o(f).
2*(f + 274)**2/5
Let a(i) be the third derivative of 0*i - 1/156*i**6 + 1/2184*i**8 - 1/455*i**7 + 1/39*i**4 + 1/130*i**5 + 70*i**2 + 0 + 0*i**3. Solve a(c) = 0.
-1, 0, 1, 4
Let t(z) be the third derivative of 0*z + 1/4*z**4 + 0*z**3 - 1/20*z**5 + 0 - 1/40*z**6 - 125*z**2. Solve t(n) = 0 for n.
-2, 0, 1
What is w in 1978/11*w + 2/11*w**2 + 0 = 0?
-989, 0
Let v(i) be the first derivative of -23 + 1/24*i**4 - 2*i**3 - 1/432*i**6 + 0*i + 0*i**2 + 7/720*i**5. Let t(r) be the third derivative of v(r). Factor t(p).
-(p - 2)*(5*p + 3)/6
Let q(l) be the first derivative of -5/12*l**6 - 15/4*l**2 + 0*l - 15/2*l**4 - 89 - 25/3*l**3 - 3*l**5. Let q(c) = 0. What is c?
-3, -1, 0
Suppose -5 + 17 = d. Find z such that 54*z**2 - z**3 + 63*z**2 - d*z - 125*z**2 + 0*z = 0.
-6, -2, 0
Factor -11*v**3 + 11*v**4 - 243 - 99*v**2 - 54*v - 46*v**3 - v**5 + 243 - 24*v**4.
-v*(v + 1)*(v + 3)**2*(v + 6)
Suppose 6523*u + 886 = 6966*u. Determine l, given that -12*l**u + 27 - 27/2*l - 3/2*l**3 = 0.
-6, -3, 1
Let t(j) be the first derivative of 1/3*j**6 + 0*j**2 + 6/5*j**5 - 2*j**3 + 0*j - 1/2*j**4 - 6. Solve t(s) = 0.
-3, -1, 0, 1
Factor -720/13*z**2 + 2