6*u**3/15 - 381*u**2. Factor x(k).
-4*(k + 1)**2*(k + 8)/5
Let d = -1/186267 + 618282263/186267. Let h = d - 16484/5. Let -h - 52/15*c - 2/15*c**2 = 0. Calculate c.
-13
Let h(m) be the third derivative of -m**6/30 - 4*m**5/3 + 23*m**4/6 + 28*m**3 - 2*m**2 + 249*m. Determine v so that h(v) = 0.
-21, -1, 2
Let w = 18 - 11. Find y such that -w*y**3 + 2068*y - 2064*y + 12*y**2 - 9*y**3 = 0.
-1/4, 0, 1
Suppose -30 = -4*t - 11*t. Suppose -5 = -7*w - 5. Factor -50/11*u + w - 2/11*u**3 - 20/11*u**t.
-2*u*(u + 5)**2/11
Let g = -2476/7905 + 12/85. Let f = 139/93 - g. Determine w so that -f*w + 1/3*w**2 + 2 = 0.
2, 3
Suppose -2*t - 36 = 37 - 79. Let d(w) be the first derivative of -9/7*w - 3/7*w**2 - 19 + 1/7*w**t. Find o, given that d(o) = 0.
-1, 3
Suppose -4*d + 507 = -3*d. Let r = d - 2532/5. What is m in -r*m + 6/5 - 3/5*m**2 = 0?
-2, 1
Let p(h) = -53*h - 208. Let y(g) = -56*g - 208. Let f(a) = 7*p(a) - 6*y(a). Let q be f(-6). Factor -52/5*l**q - 68/5*l - 16/5.
-4*(l + 1)*(13*l + 4)/5
Let z(m) be the third derivative of -1/840*m**7 + 1/240*m**6 + 1/240*m**5 + 0 + 0*m**3 - 1/48*m**4 + 163*m**2 + 0*m. Factor z(r).
-r*(r - 2)*(r - 1)*(r + 1)/4
Let k(v) be the third derivative of -v**5/150 - v**4/15 + v**3/3 + 4*v**2 + 81. Factor k(n).
-2*(n - 1)*(n + 5)/5
Factor -4*g**2 - 134 - 308*g + 387 + 99 + 280.
-4*(g - 2)*(g + 79)
Let -89*c**4 - 529*c**2 + 14*c**4 + 164*c**2 + 28*c**5 + 285*c**3 - 23*c**5 + 253*c - 103*c = 0. Calculate c.
0, 1, 3, 10
Let y(x) = -x**4 - 89*x**3 + 378*x**2 + 688*x - 1006. Let q(i) = -90*i**3 + 380*i**2 + 690*i - 1005. Let j(u) = 6*q(u) - 5*y(u). Factor j(c).
5*(c - 10)**2*(c - 1)*(c + 2)
Let d = -368 - -368. Let k be -4 - ((-1664)/24)/16. Factor d*x - k*x**5 - 1/3*x**2 + 1/3*x**3 + 1/3*x**4 + 0.
-x**2*(x - 1)**2*(x + 1)/3
Let z = -674 - -673. Let w(f) = 2*f - 1. Let b(i) = 9*i**2 + 3*i - 9. Let j(m) = z*b(m) - 9*w(m). Suppose j(n) = 0. Calculate n.
-3, 2/3
Factor -465*u**2 + 103*u**2 + 163*u**2 - 650 + 390*u + 115*u + 99*u**2 + 5*u**3.
5*(u - 13)*(u - 5)*(u - 2)
Suppose -4*d + 5*v + 1 = -10, -2 = -d + 2*v. Factor 107*w**2 - 8*w**3 - 4*w - 127*w**2 + d - 2 + 5 + 1.
-4*(w + 1)*(w + 2)*(2*w - 1)
Let a(l) = 43*l**3 + 96*l**2 - 177*l + 83. Let c(i) = -15*i**3 - 2*i**2 + i + 1. Let m(s) = 2*a(s) + 6*c(s). Find u, given that m(u) = 0.
1, 43
Solve -1845/2*u**2 - 211750/3 - 25/6*u**3 - 51700*u = 0 for u.
-110, -7/5
Let d = 358482 - 358479. Let -1/5*w**4 - 24/5*w - 1/5*w**2 + 6/5*w**d - 16/5 = 0. Calculate w.
-1, 4
Let m(k) be the third derivative of k**2 + 16/9*k**4 + 0*k**3 + 0*k + 1/504*k**8 + 1/3*k**6 - 56/45*k**5 + 3 - 13/315*k**7. Factor m(o).
2*o*(o - 4)**3*(o - 1)/3
Suppose 5*r**4 + 50/3*r - 55/3*r**3 + 5/3*r**5 + 40 - 45*r**2 = 0. Calculate r.
-4, -2, -1, 1, 3
Let o(r) be the first derivative of -r**6/9 + 2*r**5/15 + 17*r**4/6 - 14*r**3/3 - 24*r**2 + 72*r + 5063. Let o(l) = 0. What is l?
-3, 2, 3
Let z = -788 - -802. Let k be z/189 - 952/(-270). Determine f, given that -k*f + 3/5*f**2 + 24/5 = 0.
2, 4
Let w(b) = b**3 - 2*b. Let s be w(2). Suppose -t - 2*f + 3 = -20, f = t + 4. Solve t*q + 9*q**2 + 7*q**2 - 21*q - 8*q**s + 9*q**3 - 4*q**5 + 3*q**3 = 0 for q.
-2, 0, 1
Let o(h) be the first derivative of 3*h**6/11 + 4*h**5/11 - 54*h**4/11 - 16*h**3 - 160*h**2/11 + 1647. Determine v, given that o(v) = 0.
-2, -10/9, 0, 4
Let i = 64702 - 711721/11. Factor -i*u**3 - 2/11*u**2 + 0*u + 0.
-u**2*(u + 2)/11
Let z be 14544/(-1212) - ((-2)/(2 - 3) - (0 - -14)). Let 27/4*h + 15/4*h**4 - 6*h**5 + 117/4*h**2 + z + 129/4*h**3 = 0. Calculate h.
-1, -3/8, 0, 3
Let u(s) be the third derivative of s**6/420 - 2*s**5/15 - s**4/84 + 4*s**3/3 + 4767*s**2. Let u(a) = 0. What is a?
-1, 1, 28
Let w(r) be the first derivative of -56/9*r**2 + 158/27*r**3 + 60 - 11/6*r**4 + 5/27*r**6 + 8/3*r - 14/45*r**5. Suppose w(g) = 0. Calculate g.
-3, 2/5, 1, 2
Let a(z) be the first derivative of -z**4/16 + 169*z**3/4 - 757*z**2/4 + 252*z + 6936. Determine u, given that a(u) = 0.
1, 2, 504
Let v(y) be the second derivative of 1/30*y**5 + 0 + 1/2*y**4 - 1/2*y**2 + 5/3*y**3 - 24*y. Let d(u) be the first derivative of v(u). Solve d(q) = 0.
-5, -1
Solve -548/5*v - 24 + 86/5*v**2 - 9/5*v**5 + 34/5*v**4 + 557/5*v**3 = 0 for v.
-6, -1, -2/9, 1, 10
Let -288/7 + 128/7*o + 80/7*o**2 - 2/7*o**4 - 32/7*o**3 = 0. Calculate o.
-18, -2, 2
Suppose 2/11*k**3 - 16/11*k + 0 - 4/11*k**2 = 0. Calculate k.
-2, 0, 4
Let m = 125086/15 - 41692/5. Determine u, given that -50/3*u - 4*u**2 + m*u**3 - 12 = 0.
-2, -1, 9
Let y(f) = 9*f**4 + 64*f**3 + 281*f**2 + 371*f + 165. Let w(m) = -8*m**4 - 64*m**3 - 280*m**2 - 372*m - 164. Let b(r) = 5*w(r) + 4*y(r). Factor b(q).
-4*(q + 1)**2*(q + 4)*(q + 10)
Suppose 2*v = 15*w - 17*w + 44, -46*w + 1012 = 4*v. Let -46/5*h**2 + v - 4*h + 2*h**3 = 0. Calculate h.
-2/5, 0, 5
Let f(m) be the first derivative of 68 + 1/15*m**3 + 3/5*m + 2/5*m**2. Factor f(n).
(n + 1)*(n + 3)/5
Let p(r) be the third derivative of 7/15*r**4 - 75*r**2 + 0*r + 196/15*r**3 + 0 + 1/150*r**5. Factor p(u).
2*(u + 14)**2/5
Let t be 18/18 - (0 - -100)/(-4). Factor -61*m**2 - 48 + 28*m**2 + 25*m + 30*m**2 + t*m.
-3*(m - 16)*(m - 1)
Let l(p) be the third derivative of -5*p**8/336 + 3*p**6/4 - 8*p**5/3 + 25*p**4/8 - 3808*p**2. Solve l(g) = 0.
-5, 0, 1, 3
Let g = 10693237/12831870 + -2/2138645. Factor -1/6*q**2 + 7/3 - g*q.
-(q - 2)*(q + 7)/6
Let p(b) = -3*b**3 + 12*b**2 + 21*b - 12. Let l(v) = v**4 + 5*v**3 - 12*v**2 - 19*v + 10. Let s(z) = 6*l(z) + 5*p(z). Solve s(a) = 0.
-3, -1/2, 0, 1
Let d(j) be the second derivative of -j**4/48 - 49*j**3/24 - 69*j**2/4 + 3*j - 160. Factor d(w).
-(w + 3)*(w + 46)/4
Let b(a) be the third derivative of a**5/15 + 175*a**4/6 + 116*a**3 + 206*a**2 + 2. Find v, given that b(v) = 0.
-174, -1
Let d be 76/16 - (-1 - -3). Let v be (2/18 + -1)/((-796)/18 + 176 + -132). Determine z, given that 1/2*z - 9/4*z**5 + d*z**v - 11/4*z**2 + 7/4*z**3 + 0 = 0.
-1, 0, 2/9, 1
Suppose -48*c = -74*c + 78. Suppose 15 = -3*v, 2*k = -c*k - 2*v. Factor 0*r + 0*r**k + 0 + 2/5*r**4 + 2/5*r**3.
2*r**3*(r + 1)/5
Find n such that 148*n**3 + 44*n**4 - 40*n**4 - 144*n**3 = 0.
-1, 0
Factor -10*u**2 - 37 + 97 - 25*u + 20*u**4 + 3*u**3 - 65 - 5*u**2 + 22*u**3.
5*(u - 1)*(u + 1)**2*(4*u + 1)
Let i(l) be the first derivative of 12*l**5 + 183*l**4/4 + 43*l**3 + 3*l**2 + 77. Factor i(h).
3*h*(h + 1)*(h + 2)*(20*h + 1)
Suppose -7*q + 4*q = -24. Suppose -3 = -9*b + q*b. Solve -5*s**2 + 406 + b*s**2 - 398 - 6*s = 0.
-4, 1
Suppose 13*d - 14*d - 3*i + 26 = 0, -48 = -2*d - 2*i. Let q = -7 + d. Factor -4/7*l**2 - q*l - 112.
-4*(l + 14)**2/7
Let v(m) be the second derivative of m**3 + 1/20*m**5 + 3/8*m**4 + 11/2*m**2 + 8*m + 0. Let q(b) be the first derivative of v(b). Factor q(k).
3*(k + 1)*(k + 2)
Let -4/11*c**2 - 4/11*c**4 + 8/11 - 2/11*c**5 + 16/11*c**3 - 14/11*c = 0. What is c?
-4, -1, 1
Let y(m) be the second derivative of m**4/24 + 17*m**3/2 + 50*m**2 - 127*m. Determine a, given that y(a) = 0.
-100, -2
Let t(s) be the first derivative of 31*s**4/22 - 40*s**3/11 + 27*s**2/11 + 4*s/11 + 4388. Factor t(b).
2*(b - 1)**2*(31*b + 2)/11
Let t be 42/(-35)*10/3*1. Let m(v) = 1. Let i(j) = 5. Let n(g) = t*m(g) + i(g). Let y(x) = 4*x**2 - 16*x + 4. Let z(l) = -8*n(l) - y(l). Solve z(p) = 0 for p.
1, 3
Let j(q) be the third derivative of q**8/8400 + q**7/315 + q**6/36 - 23*q**4/6 + 2*q**2 - 20. Let m(f) be the second derivative of j(f). Factor m(s).
4*s*(s + 5)**2/5
Let r(g) be the second derivative of -g**5/10 - 13*g**4/2 - 120*g**3 + 400*g**2 + 1558*g - 2. Factor r(p).
-2*(p - 1)*(p + 20)**2
Let d(v) = 2*v**2 - 5*v + 6. Let c be d(2). Factor -33*t**2 + 79*t + 4*t**c + 4*t**2 - 15*t**2 - 32 - 7*t.
4*(t - 2)*(t - 1)**2*(t + 4)
Suppose -634*t + 372 = -633*t. Let i = 1862/5 - t. Factor 1/5*h + i - 1/5*h**2.
-(h - 2)*(h + 1)/5
Suppose 1 = 3*w + 4. Let n be 6 - 4 - 1/w. Suppose 3*i - 15*i**3 - 9*i**2 + 3*i**2 + 18*i**n = 0. Calculate i.
0, 1
Let y(j) be the second derivative of j**6/40 + j**5/20 + 28*j**2 + 13*j + 2. Let p(k) be the first derivative of y(k). Solve p(z) = 0 for z.
-1, 0
Let t be (-4)/(-26) + -6 + (-687)/(-13). Suppose -49*u + 192 = t*u. Factor -13/4*f**3 - f - 4*f**u - 3/4*f**4 + 0.
-f*(f + 2)**2*(3*f + 1)/4
Factor -13/2*s + 1/4*s**2 + 36.
(s - 18)*(s - 8)/4
Let q = -21357/2 + 10682. Factor q*p**3 + 29