(k + 5)/3
Let d(v) be the third derivative of v**6/300 - 13*v**5/50 + 19*v**4/30 + 2*v**2 + 215. Factor d(u).
2*u*(u - 38)*(u - 1)/5
Let r(y) be the third derivative of y**6/30 + 6*y**5/5 - 67*y**4/2 + 364*y**3/3 + 3*y**2 - 291. Factor r(j).
4*(j - 7)*(j - 1)*(j + 26)
Let s be (68 + -67)/(1/71). Factor 16723*u + s - 16693*u + 3*u**2 - 23.
3*(u + 2)*(u + 8)
Find a such that -1/4*a**4 - 73/4*a**2 + 23/4*a**3 - 75/4*a + 171/2 = 0.
-2, 3, 19
Let n(l) be the third derivative of -2*l**6/15 - 1673*l**5/15 + 1471*l**4/3 + 560*l**3 + 1314*l**2. Solve n(a) = 0.
-420, -1/4, 2
Let l be 952/2856*12/1. Determine m so that -4/5*m + 2/5*m**l - 8/5*m**2 + 4/5*m**3 + 6/5 = 0.
-3, -1, 1
Let h(l) be the third derivative of -l**5/15 - 6*l**4 - 3877*l**2. Determine a so that h(a) = 0.
-36, 0
Let a(k) be the third derivative of -k**7/315 + 2*k**6/9 - 53*k**5/10 + 99*k**4/2 + k**2 + 666*k. Let a(t) = 0. What is t?
0, 9, 22
Let n(s) be the first derivative of 1/30*s**6 - 2*s**3 - 21/2*s**2 - 1/3*s**5 - 29 + 0*s + 7/6*s**4. Let k(c) be the second derivative of n(c). Factor k(p).
4*(p - 3)*(p - 1)**2
Let p(v) be the second derivative of 11/21*v**3 + 2/21*v**4 - 1/70*v**5 + 6/7*v**2 - 4 + 15*v. Factor p(t).
-2*(t - 6)*(t + 1)**2/7
Let r be (-1659)/1197*-21 + (12 - 39). Find g such that -2/19*g**3 - r*g + 32/19 + 16/19*g**2 = 0.
2, 4
Let m(r) be the second derivative of -r**7/147 + 4*r**6/105 - r**5/35 - 2*r**4/21 + r**3/7 - r - 1594. Find f, given that m(f) = 0.
-1, 0, 1, 3
Let y(t) be the first derivative of -t**4/44 - 8*t**3/33 + 56*t**2/11 - 256*t/11 + 6731. Determine f, given that y(f) = 0.
-16, 4
Let i(h) = 38*h - 227. Let t be i(7). Let o(c) = c**3 - 39*c**2 - c + 41. Let b be o(t). Determine j so that -3*j**b - 45/2*j - 21/2 = 0.
-7, -1/2
Suppose -3*p - 2*x = 18, 6*x - 3*x = -5*p - 29. Let d be 4/(-75) + (32/(-60))/p. Factor -d*z**2 + 0 + 2/25*z**4 - 6/25*z**3 + 6/25*z.
2*z*(z - 3)*(z - 1)*(z + 1)/25
Let d = 14541/34 + -6684/17. Solve 3/2*r**2 - d*r + 63 = 0 for r.
2, 21
Let r = 121365 + -121359. Solve r*f**2 + 0 + 0*f - 63/2*f**3 = 0.
0, 4/21
Factor 0 + 12/7*a - 24/7*a**2 + 15/7*a**3 - 3/7*a**4.
-3*a*(a - 2)**2*(a - 1)/7
Factor 0*q**2 + 0*q + 44*q**3 + 2/15*q**4 + 0.
2*q**3*(q + 330)/15
Suppose 151*k - 8 = 150*k. Let n be k/(-3)*1*(-88)/160. Let 2/15*u**3 + 4/5 + n*u + 4/5*u**2 = 0. What is u?
-3, -2, -1
Factor 722/3*l**2 + 0 + 721/3*l**3 - 1/3*l**4 + 0*l.
-l**2*(l - 722)*(l + 1)/3
Let 5524*q**3 + 16*q**2 - 5489*q**3 - 60*q - 10*q**4 + 24*q**2 - 5*q**5 = 0. What is q?
-3, -2, 0, 1, 2
Let t(x) be the first derivative of -x**4/18 + 11*x**3/9 - 28*x**2/3 - 15*x + 43. Let k(d) be the first derivative of t(d). Factor k(g).
-2*(g - 7)*(g - 4)/3
Suppose 0 = 130*z - 162 + 95 - 193. Factor 5/4*f**3 - 25/2*f + 30 - 15/4*f**z.
5*(f - 4)*(f - 2)*(f + 3)/4
Let z(a) be the second derivative of -a**5/75 - a**4/30 + 35*a**2/2 - 32*a. Let q(u) be the first derivative of z(u). Let q(c) = 0. Calculate c.
-1, 0
Factor -1143/8*i**2 + 3/8*i**3 + 109443/8 + 108297/8*i.
3*(i - 191)**2*(i + 1)/8
Let o(g) = -257*g + 6682. Let w be o(26). Let r(i) be the second derivative of -i**3 - 39*i + w + 9/2*i**2 + 1/12*i**4. Factor r(d).
(d - 3)**2
Factor -128/7*g**2 + 512/7 + 2/7*g**3 - 8/7*g.
2*(g - 64)*(g - 2)*(g + 2)/7
Let x(s) be the third derivative of s**8/504 + 16*s**7/315 + 59*s**6/180 + 22*s**5/45 + s**2 - 4*s - 32. Find t, given that x(t) = 0.
-11, -4, -1, 0
Let o = 94 - 35. Let z = o + -60. Let s(h) = 3*h**2 + 10*h - 4. Let u(f) = -f**2 - f - 1. Let v(p) = z*s(p) - 4*u(p). Factor v(x).
(x - 4)*(x - 2)
Let m = 5551 - 5546. Let s(h) be the second derivative of 0*h**2 + 0*h**6 - 20*h + 0*h**3 - 3/10*h**m + 1/21*h**7 + 0 - 1/3*h**4. Let s(u) = 0. Calculate u.
-1, 0, 2
Determine p so that 258*p + 2/3*p**3 + 46*p**2 + 378 = 0.
-63, -3
Let t(y) = 5*y**3 + 108*y**2 - 21*y - 1761. Let w be t(-21). Find z, given that 14/3 + 13*z**2 + 11/3*z**w - 1/3*z**4 + 41/3*z = 0.
-1, 14
Let d(a) be the second derivative of -a**7/315 + a**5/30 - a**4/18 - 13*a**2/2 - 87*a. Let i(s) be the first derivative of d(s). Factor i(o).
-2*o*(o - 1)**2*(o + 2)/3
Solve 1/7*z**4 + 3/7*z**3 - 3/7*z**5 - 1/7*z**2 + 0*z + 0 = 0 for z.
-1, 0, 1/3, 1
Let i be ((-5)/2 - -4)/((-2)/(-32)). Suppose 20*x = i*x - 140. Find c such that -4*c + 78 - 66*c - 235*c**2 + x*c**3 - 78 = 0.
-2/7, 0, 7
Let n(a) be the first derivative of 4*a**5/5 - a**4 - 8*a**3/3 + 687. Determine p so that n(p) = 0.
-1, 0, 2
Let s(z) be the third derivative of 1/30*z**5 + 0*z - 5/8*z**4 + 28*z**2 + 0 - 6*z**3 + 1/120*z**6. Factor s(h).
(h - 4)*(h + 3)**2
Let f(n) be the first derivative of 2*n**5/15 + 17*n**4 + 866*n**3 + 22032*n**2 + 279936*n + 7406. Suppose f(m) = 0. Calculate m.
-27, -24
Let n be 54/6 - (1 + -1). Suppose -7*j + n = -12. Factor -14*z**2 - 11*z**2 + j*z**2 + z**3 + 47*z + 74*z.
z*(z - 11)**2
Suppose -2*x + 18 = -3*x - 5*b, -3*x + 2*b = 3. Let m be x + 354/(-72) + 8. Solve 1/3*v + 0 + m*v**3 + 1/3*v**2 = 0.
-2, 0
Let m(j) be the third derivative of 1/16*j**3 + 0*j - 1/160*j**5 - 73*j**2 + 0*j**4 + 0. Factor m(t).
-3*(t - 1)*(t + 1)/8
Let i(k) = -2*k**2 + 3*k + 3. Let v(d) = -14*d**2 - 98*d + 372. Let n(y) = 8*i(y) - v(y). Solve n(b) = 0.
3, 58
Let k(m) = -19*m**3 - 31*m**2 - 3*m + 144. Let q(y) = -5*y**3 - y**2 - y. Let v(c) = k(c) - 3*q(c). Solve v(j) = 0 for j.
-6, -3, 2
Let p(u) be the first derivative of -2/7*u**3 + 51/7*u + 79 - 9/7*u**5 - 99/14*u**2 - 1/14*u**6 + 51/14*u**4. Find h, given that p(h) = 0.
-17, -1, 1
Suppose 0 = m + 2*m. Suppose -c + 5 = -m*c. Find f, given that -f**3 + 4*f**3 + 12*f**2 - 54 - c*f - 4*f = 0.
-3, 2
Suppose -21837*f + f**5 + 887 + 33*f**4 - 33*f**2 - 35*f**3 - 887 + 21871*f = 0. What is f?
-34, -1, 0, 1
Let x = -173 + 173. Determine j so that -74*j**3 + x - 20*j + 0 + 79*j**3 = 0.
-2, 0, 2
Let f(h) be the third derivative of -11*h**5/60 + 41*h**4/12 - 65*h**3/6 + 24*h**2. Let j(d) = -10*d**2 + 80*d - 65. Let k(u) = 5*f(u) - 6*j(u). Factor k(i).
5*(i - 13)*(i - 1)
Let a(i) be the first derivative of i**5 - 55*i**4/2 + 605*i**3/3 - 1287. Suppose a(u) = 0. Calculate u.
0, 11
Let i(h) be the second derivative of -3*h**5/160 - 3*h**4/4 - 165*h**3/16 - 363*h**2/8 + 1837*h. Solve i(n) = 0.
-11, -2
Let i(h) = 523*h - 16210. Let a be i(31). Factor -75/4*q**2 + 15*q - a.
-3*(5*q - 2)**2/4
Let m(t) be the second derivative of -8/3*t**3 + 1 - 20*t - 1/12*t**4 + 1/20*t**5 - 10*t**2. Suppose m(o) = 0. What is o?
-2, 5
Solve -2250*l**2 + 1192 + 2549*l**3 - 177*l**3 + 8*l**4 - 1479*l**2 + 4*l + 153*l**2 = 0.
-298, -1/2, 1
Suppose -19*g - 10*g = -3*g - 52. Let a(f) be the third derivative of -5/8*f**4 + 0*f - 3/4*f**5 + 18*f**g - 5/24*f**6 + 5/6*f**3 + 0. Factor a(d).
-5*(d + 1)**2*(5*d - 1)
Let j be (344/48 + -7)/(2 + 19 + -20). Find t such that 1/3*t**3 - 2/3*t**4 + j*t**5 - 1/2*t + 0 + 2/3*t**2 = 0.
-1, 0, 1, 3
Let a(g) be the third derivative of -7/8*g**4 + 0 - 1/2*g**5 + 9*g**3 + 0*g + 53*g**2 - 1/40*g**6. Factor a(y).
-3*(y - 1)*(y + 2)*(y + 9)
Let z(m) be the first derivative of m**4/14 + 10*m**3/21 - 2*m**2 + 973. Let z(b) = 0. Calculate b.
-7, 0, 2
Factor 3526/13*w - 166/13*w**2 + 2/13*w**3 - 3362/13.
2*(w - 41)**2*(w - 1)/13
Solve -841*a - 1755938 - 139*a**2 + 137*a**2 - 2907*a = 0.
-937
Suppose 3*h = 4*m - 47, 2094*m + 3*h = 2099*m - 49. Determine i so that -2/3*i**m + 0 + 62/3*i = 0.
0, 31
Let v(g) = 20*g**3 - 134*g**2. Suppose -4*i - 8 = 4*a, 3*a + 13 = 7*i - 3*i. Let d(l) = -4*l**3 + 27*l**2. Let w(o) = a*v(o) - 14*d(o). Factor w(k).
-4*k**2*(k - 6)
Find l, given that 0 - 9*l**3 - 3/5*l**5 - 12/5*l**2 + 24/5*l**4 + 12*l = 0.
-1, 0, 2, 5
Let p(q) be the third derivative of 29*q + 0 + 13/18*q**4 + 3*q**3 - 1/90*q**5 + 4*q**2. Find l such that p(l) = 0.
-1, 27
Let l(k) = 16*k**3 - 19*k**2 - 70*k - 44. Let n(z) = -18*z**3 + 18*z**2 + 70*z + 44. Let v(c) = 10*l(c) + 9*n(c). Determine a so that v(a) = 0.
-11, -2, -1
Suppose -50562 - 2/9*s**2 - 212*s = 0. What is s?
-477
Solve 9/2*h**4 + 729/4 + 21/2*h**3 - 747/4*h**2 - 81/8*h - 3/8*h**5 = 0.
-6, -1, 1, 9
Suppose 15 + 63 = 5*r + 2*o, r - 4*o = -2. Suppose 12*y = 5*y + r. Solve -i**3 - 151 + i + i**y + 151 - i**4 = 0 for i.
-1, 0, 1
Let o be -6 + -3 + (2505/60 - 10/8). Factor 42*p - 27/2 + 3*p**3 - o*p**2.
3*(p - 9)*(p - 1)*(2*p - 1)/2
Let d = 159 - 156. Suppose 6