 - 4*j**2 - u*j**2 + 3.
3*(j - 1)**2
Let j = 529/5 - 105. Let p = -1/475 - -191/475. Let -j - p*u + 2/5*u**2 = 0. Calculate u.
-1, 2
Let a(c) = c**3 + 2*c**2 - c + 1. Let w(p) = 2*p**3 + 4*p**2 - 114*p + 166. Let g(v) = -2*a(v) - w(v). Factor g(x).
-4*(x - 3)*(x - 2)*(x + 7)
Let n = 16 + -30. Let m = n - -17. Factor -12 - 2*u**3 + 36*u + 12*u**m - 39*u**2 - 3*u**4 + 8*u**3.
-3*(u - 2)**2*(u - 1)**2
Suppose 0 = -3*q - 5*h + 11, 2*q - 16 - 8 = 5*h. Suppose -747*d + 745*d = -6. Factor 11*m + 1 + 18*m**d + q*m + 28*m**2 + 4*m**4 + 3.
2*(m + 1)**2*(m + 2)*(2*m + 1)
Let r(o) be the third derivative of -o**5/180 - o**4/72 + 2*o**3/3 - 14*o**2. Let r(k) = 0. Calculate k.
-4, 3
Let j be (39/325)/((-120)/(-25)). Let i(a) be the third derivative of -8*a**2 - j*a**4 + 0*a**3 + 0*a + 0 - 1/100*a**5. Solve i(p) = 0 for p.
-1, 0
Let f(h) be the first derivative of 27*h**4/4 - 61*h**3 - 264*h**2 - 108*h - 78. Suppose f(r) = 0. What is r?
-2, -2/9, 9
Let o = 8306/5 + -1660. Factor o*x**3 - 4/5 - 1/5*x**4 - 13/5*x**2 + 12/5*x.
-(x - 2)**2*(x - 1)**2/5
Suppose -3*s + 9 = -6, 5*k = 4*s + 380. Factor 0*z + 118*z**2 - 28 - k*z - 106*z**2.
4*(z - 7)*(3*z + 1)
Let a(b) be the first derivative of -2/9*b**3 + 1/3*b + 1/15*b**5 + 1/6*b**4 - 1/18*b**6 + 1 - 1/6*b**2. Factor a(w).
-(w - 1)**3*(w + 1)**2/3
Let s(h) = -7*h - 23 + 5*h + 8. Let d be s(-9). Factor 8*u**2 + 0*u**4 + u**3 - 3*u**4 - u**4 + d*u**3.
-4*u**2*(u - 2)*(u + 1)
Let n = -395 - -1498. Solve 9*q + 8 - 2 - n*q**3 + 1100*q**3 = 0 for q.
-1, 2
Let u(j) = -9*j**3 + 22*j**2 - 26. Let r(l) = -8*l**3 + 20*l**2 - 24. Let k(d) = 5*r(d) - 4*u(d). Suppose k(m) = 0. What is m?
-1, 2
Let h(c) be the third derivative of 1/100*c**5 + 1/30*c**4 - 2/15*c**3 - 13*c**2 + 0*c + 0 - 1/150*c**6 + 1/1050*c**7. Factor h(q).
(q - 2)**2*(q - 1)*(q + 1)/5
Factor -86*g**2 - 2*g**3 + 32*g**2 + 58*g**2.
-2*g**2*(g - 2)
Suppose -49 - 86 - 525 = -132*d. Solve 36/7*j**4 + 432/7*j**2 + 216/7*j**3 + 0*j + 0 + 2/7*j**d = 0.
-6, 0
Let x = 60 + -27. Let 2*d**4 - 11*d**3 - 2*d**2 - 4*d + x*d**3 - 18*d**3 = 0. Calculate d.
-2, -1, 0, 1
Let o be (-2)/(2/(-33)*3). Factor -17*r + o*r**2 - 8*r**2 + 12 + 2*r.
3*(r - 4)*(r - 1)
Let k(z) = -5*z - 33. Let r be k(-7). Solve f - 8*f**3 + 2*f**r + 4*f**2 - 3*f + f**2 + 3*f**4 = 0.
0, 2/3, 1
Let l(z) be the third derivative of -z**5/90 - z**4/9 + 5*z**3/9 - 85*z**2. Suppose l(f) = 0. Calculate f.
-5, 1
Let p = 9 - 8. Suppose -l + 3 - p = 0. Factor -2*n**3 + n**2 + 4*n**l + 4 - 5*n**2 + 6*n.
-2*(n - 2)*(n + 1)**2
Let c be 4/10*(2/(-3) - 1). Let l = -1/3 - c. Let 1/3*m + l*m**2 - 2/3 = 0. Calculate m.
-2, 1
Let c(w) = -w**3 + 7*w**2 - 3*w + 7. Let a be c(6). Suppose 2*b + 3*y = y + 26, -y + a = 2*b. Factor -79*j**2 + 5*j + 55*j - b + 4*j**2.
-3*(5*j - 2)**2
Let s(t) = -t**4 + 40*t**3 + 101*t**2 + 88*t + 18. Let f(o) = -4*o**4 + 120*o**3 + 304*o**2 + 264*o + 52. Let p(x) = -5*f(x) + 16*s(x). What is v in p(v) = 0?
-7, -1
Let n be (4/(-8))/((-3)/(-6)). Let a be (1 - -7) + 3/n. Factor -2*s**a - s - s**3 + 2*s**2 + s**5 + 3*s**3 - 1 - s**4.
-(s - 1)**2*(s + 1)**3
Let a(i) be the second derivative of i**9/5040 + 13*i**8/11200 - i**7/700 - 5*i**4/3 + 24*i. Let z(u) be the third derivative of a(u). What is s in z(s) = 0?
-3, 0, 2/5
Let f be (3/(-2))/((-48)/36). Let z = f - 5/8. Factor z*a**4 - 3/2*a**2 - 1 + 1/2*a**3 - 5/2*a.
(a - 2)*(a + 1)**3/2
Let g be (-2230)/(-165) - 13 - (-4)/(-22). Let n(p) be the first derivative of 0*p**2 + 3 - g*p**3 + p. Determine h, given that n(h) = 0.
-1, 1
Determine r, given that 3/5*r + 36/5 - 3/5*r**2 = 0.
-3, 4
Suppose -4*w + 2 = -10. Suppose -2*o + c + 5 = -0, -w*o + 1 = 5*c. Factor -6*r**2 + o*r - 3*r**3 + 6*r**3 + r.
3*r*(r - 1)**2
Let t(w) be the third derivative of -1/105*w**7 + 1/30*w**5 + 0*w**4 + 1/336*w**8 + 0*w + 0*w**3 + 0 - 1/120*w**6 + 15*w**2. Suppose t(y) = 0. Calculate y.
-1, 0, 1, 2
Factor -4*r**3 - 6*r**2 - 13*r**2 - r**3 + 4*r**2.
-5*r**2*(r + 3)
Suppose -8 = d, -20 = 5*y - 5*d - 60. Factor -10/19*i**3 - 2/19*i**5 - 12/19*i**4 + y*i**2 + 0 + 0*i.
-2*i**3*(i + 1)*(i + 5)/19
Let a = -5620 + 16864/3. Let 0 - a*d**2 - 8/3*d = 0. What is d?
-2, 0
Let a be (-7 + -1)*(-7)/14. Let d = 5 - 3. Factor -3*o - 11*o**2 + 12*o**a + 15*o**3 - 3*o - 6*o**2 - 4*o**d.
3*o*(o - 1)*(o + 2)*(4*o + 1)
Let i(o) be the third derivative of o**7/140 + 79*o**6/20 + 18723*o**5/20 + 493039*o**4/4 + 38950081*o**3/4 + 51*o**2. Suppose i(c) = 0. What is c?
-79
Factor -72 - 12*v - 1/2*v**2.
-(v + 12)**2/2
Suppose 26 = 9*v - 1. Let z = -2374/7 + 340. Factor 2/7 + 6/7*l**2 + 2/7*l**v + z*l.
2*(l + 1)**3/7
Let g(x) be the first derivative of x**7/840 + x**6/240 - x**5/240 - x**4/48 - 11*x**2 - 20. Let s(i) be the second derivative of g(i). Factor s(b).
b*(b - 1)*(b + 1)*(b + 2)/4
Let b = 9 - 17. Let p(v) = v**5 - v**4 + v**2 - v. Let i(f) = 4*f**4 + 4*f**3 - 4*f**2 - 4*f. Let q(r) = b*p(r) + i(r). Let q(u) = 0. What is u?
-1, 0, 1/2, 1
Let v(o) = -2*o**3 - 2*o. Let q(r) = -r**3 - 2*r**2 - 9*r - 4. Let s(p) = 4*q(p) - 4*v(p). Find w, given that s(w) = 0.
-1, 4
Let x(k) be the second derivative of -k**4/18 + 524*k**3/9 - 68644*k**2/3 - 1046*k. Factor x(t).
-2*(t - 262)**2/3
Let y(m) be the third derivative of m**8/1680 + m**7/210 + m**6/300 - 7*m**5/150 - m**4/40 + 3*m**3/10 + 77*m**2. Solve y(o) = 0.
-3, -1, 1
Let u(g) be the third derivative of g**8/7200 + 17*g**7/4200 + 7*g**6/900 + g**5/3 - 24*g**2. Let j(x) be the third derivative of u(x). Factor j(l).
2*(l + 7)*(7*l + 2)/5
Let p(d) be the second derivative of 18*d + 0 - 9/2*d**3 + 1/42*d**7 + 13/10*d**5 + 27/2*d**2 - 3/2*d**4 - 3/10*d**6. Factor p(l).
(l - 3)**3*(l - 1)*(l + 1)
Let r = -6334 - -6337. Factor -1/6*f**r - 13/6*f + 4/3*f**2 + 1.
-(f - 6)*(f - 1)**2/6
Let m(u) be the first derivative of -4/15*u**5 + 4/3*u**4 + 0*u**2 + 0*u - 4/3*u**3 + 15. Determine c so that m(c) = 0.
0, 1, 3
Let b(h) be the third derivative of -1/350*h**7 - 1/20*h**5 + 0 + 3/5*h**3 + 0*h + 13/40*h**4 - 3/40*h**6 - 10*h**2 + 1/280*h**8. Find g, given that b(g) = 0.
-2, -1, -1/2, 1, 3
Let w be 1 + (1 - 1) + (-471)/465. Let o = 457/620 - w. Factor 9/4*h - 3*h**2 + o.
-3*(h - 1)*(4*h + 1)/4
Let i = 5423/140 - -909/28. Let n = 72 - i. What is m in n*m + 0 + 2/5*m**2 = 0?
-2, 0
Let q = -3533/154 - -511/22. Find h such that 216/7*h**3 + q + 162/7*h**4 + 108/7*h**2 + 24/7*h = 0.
-1/3
Let m = -376882/195 - -25512/13. Let o = -82/3 + m. Factor o*u + 18/5*u**2 + 2/5.
2*(3*u + 1)**2/5
Let x(o) be the second derivative of 0*o**3 + 0 + 1/12*o**4 + 0*o**5 - 1/150*o**6 - 9*o - 2/5*o**2. Let x(i) = 0. What is i?
-2, -1, 1, 2
Let o(j) be the second derivative of -j**5/110 - 3*j**4/22 + j**3/33 + 9*j**2/11 - 73*j. Factor o(v).
-2*(v - 1)*(v + 1)*(v + 9)/11
Let y(z) be the first derivative of z**7/735 - z**6/140 - z**5/210 + z**4/28 + 25*z**2/2 + 19. Let m(q) be the second derivative of y(q). Factor m(l).
2*l*(l - 3)*(l - 1)*(l + 1)/7
Let j(d) = -d**2 + d + 1. Let g(p) = -2. Let k(b) = g(b) + j(b). Let z(q) = -5 + 9*q - 4*q**2 - 8*q - q. Let y(a) = 3*k(a) - z(a). Factor y(i).
(i + 1)*(i + 2)
Let t(j) = -j - 1. Let n be t(-3). Let o be ((-28)/21)/(4/(-6)). Factor n - k**2 - 6 + o*k + 2*k**2 + k**2.
2*(k - 1)*(k + 2)
Factor 1/3*y**5 - y**4 - 1/3*y**3 - 4*y + 4/3 + 11/3*y**2.
(y - 2)*(y - 1)**3*(y + 2)/3
Let r(d) = d**2 - 30*d + 225. Let c be r(15). Let 2/5*p + c + 2/5*p**2 = 0. What is p?
-1, 0
Let q(s) be the second derivative of s**5/30 + s**4/6 - 7*s**2/2 + 4*s. Let g(m) be the first derivative of q(m). Solve g(k) = 0.
-2, 0
Let 3120*s**3 + 57*s**4 + 17043*s - 4*s**5 + 9*s**5 + 22*s**4 + 15912*s + 18590*s**2 + 131*s**4 = 0. Calculate s.
-13, -3, 0
Let t(v) be the third derivative of -1/270*v**5 + 1/108*v**4 - 1/540*v**6 + 6*v**2 + 0*v + 0 + 1/27*v**3. Find q, given that t(q) = 0.
-1, 1
Let g be (-1203)/5213 + (-94)/(-182). Let a be (-13)/(-14) + 4/8. Suppose g*r**2 - 16/7*r - 2/7*r**4 - 2/7*r**5 + 8/7 + a*r**3 = 0. Calculate r.
-2, 1
Suppose -6 = 2*h - 4, 4*q + 3*h = 9. Let c = 211/616 - 9/56. Determine k so that -2/11*k**q + 0*k**2 + c*k**5 + 0 + 0*k**4 + 0*k = 0.
-1, 0, 1
Let a(w) be the third derivative of -2*w**7/105 - 7*w**6/15 + 32*w**5/15 - 490*w**2. Determine x, given that a(x) = 0.
-16, 0, 2
Let w(z) be the second derivative of -z**6/18 - 9*z**5/20 - 5*z**4/4 - 29*z**3