2*s**z. Factor l(r).
(r - 1)*(5*r - 2)
Let s be (5/(-25) - 2)*-5. Suppose -5 = -8*h + s. Factor 3*d**5 + d**3 + 3*d**h + 0*d**3 - 6*d**4 - 4*d**3 + 3*d**4.
3*d**2*(d - 1)**2*(d + 1)
Factor -180/7 + 51/7*q**2 + 492/7*q.
3*(q + 10)*(17*q - 6)/7
Let k(a) be the third derivative of 0*a + 0*a**3 - 1/360*a**6 + 1/6*a**4 + 1/180*a**5 + 0 + 174*a**2. Factor k(u).
-u*(u - 4)*(u + 3)/3
Let x(p) = -4*p**2 + 22*p + 137. Let d(c) = 4*c**2 - 28*c - 126. Let g(j) = -5*d(j) - 6*x(j). Factor g(w).
4*(w - 6)*(w + 8)
Let n be 7 + 3 - 40*5/25. Factor -1/5*r - 3/5*r**3 - 3/5*r**n + 0 - 1/5*r**4.
-r*(r + 1)**3/5
Let p(c) = -2*c + 5. Let w be p(-21). Let d = -42 + w. Determine s so that 10*s**d - 5*s**3 + 4*s**4 - s**5 - 4*s**3 + 3*s**2 - 7*s**4 = 0.
-1, 0, 1/3, 1
Let v(k) be the second derivative of k**6/30 - k**5/15 - k**4/6 - 17*k**3/3 - 80*k. Let b(o) be the second derivative of v(o). Factor b(t).
4*(t - 1)*(3*t + 1)
Let h(v) be the third derivative of -19/4*v**3 + 0*v + 39/16*v**4 - 21/40*v**5 + 1/80*v**6 - 181*v**2 + 0. Factor h(y).
3*(y - 19)*(y - 1)**2/2
Let f(y) be the third derivative of y**6/1440 + 7*y**5/480 + 5*y**4/48 + 100*y**3/3 - 13*y**2 + 7. Let a(s) be the first derivative of f(s). Factor a(l).
(l + 2)*(l + 5)/4
Let n be 22/3 - (-80)/(-60). Let u be (4/(-3))/(n + 240/(-36)). Find z, given that 0 - 1/2*z**2 - u*z = 0.
-4, 0
Let l(f) be the second derivative of 0 - 10/3*f**3 + 1/2*f**4 - 8*f**2 - 28*f. Determine w so that l(w) = 0.
-2/3, 4
Find v such that 39*v**3 - 3919*v - 17*v**3 + 906*v**2 - 25*v**3 + 14112 - 3185*v = 0.
4, 294
Let s(g) be the first derivative of -3/35*g**5 + 101 + 3/7*g**2 + 1/7*g**3 + 0*g - 3/14*g**4. Let s(h) = 0. Calculate h.
-2, -1, 0, 1
Suppose 252*r - 248*r + 66 = 11*u, -3*r - 31 = u. Solve -34/7*n**4 - 26/7*n**u + 0 + 8/7*n**5 + 4/7*n + 48/7*n**3 = 0 for n.
0, 1/4, 1, 2
Let d = -435 - -435. Let x(a) be the second derivative of 2/7*a**3 + 1/21*a**4 + 6*a + 0 + d*a**2. Solve x(o) = 0 for o.
-3, 0
Let p(k) be the second derivative of -k**5/80 - 15*k**4/16 + 225*k**2/2 + 162*k. Let n(z) be the first derivative of p(z). Determine l, given that n(l) = 0.
-30, 0
Let u be ((-360)/315)/((-8)/3). What is n in -3/7*n**3 + 0 + u*n**2 - 3/7*n**4 + 0*n + 3/7*n**5 = 0?
-1, 0, 1
Find t, given that 40*t**2 + 24*t**3 + 127*t**4 + 118*t**4 + 125*t**4 + 119*t**4 - 487*t**4 = 0.
-10, -2, 0
Factor 538*d - 134*d**3 - 1574*d + 5705*d**2 + 516 + d**4 - 5052*d**2.
(d - 129)*(d - 2)**2*(d - 1)
Let m(i) = -3*i**3 + 2880*i**2 + 5754*i + 2955. Let a(t) = 3*t**3 - 2878*t**2 - 5755*t - 2930. Let y(w) = 3*a(w) + 2*m(w). Solve y(g) = 0.
-1, 960
Let y = -505 - -538. Let k be ((-4)/(-3)*y/110)/1. Factor k*g - 1/5*g**2 + 0.
-g*(g - 2)/5
Let q(z) be the first derivative of z**4 - 4412*z**3 + 7299654*z**2 - 5367678908*z + 4568. Factor q(s).
4*(s - 1103)**3
Let k = -6507/2840 - -168/71. Let m(o) be the third derivative of 0 - k*o**6 + 0*o - 3/2*o**3 - 22*o**2 + 11/20*o**5 - 5/8*o**4. Factor m(q).
-3*(q - 3)*(q - 1)*(3*q + 1)
Let r = -77 + 49. Let z be 2*27*(-42)/r. Suppose -75*g**2 + z*g**3 - 15*g**5 - 2*g + 14*g - 4*g - 9*g**4 + 10*g = 0. What is g?
-3, 0, 2/5, 1
Let x(p) be the third derivative of p**6/200 + 1411*p**5/20 + 12446783*p**4/40 + 12439729*p**3/10 + 355*p**2 - 7*p. Solve x(k) = 0.
-3527, -1
Let j(w) be the first derivative of -2*w**6/3 - 8*w**5/5 + 20*w**4 + 88*w**3/3 - 38*w**2 - 80*w + 10052. What is k in j(k) = 0?
-5, -1, 1, 4
Let c be 2/12*-14*4*(-285)/152. Find o, given that 0 + 5/2*o**3 + c*o**2 + 15*o = 0.
-6, -1, 0
Let u(z) be the third derivative of z**5/120 + 221*z**4/8 + 146523*z**3/4 + 11*z**2 - 26*z. Factor u(l).
(l + 663)**2/2
Suppose 1735*x = -1091 + 2917 + 3379. Factor -1/6*k**x - 5/2*k - 17/3 + 3*k**2.
-(k - 17)*(k - 2)*(k + 1)/6
Let x(u) be the second derivative of 417/40*u**5 + 5 + 11/28*u**7 - 13*u + 9*u**3 - 185/12*u**4 + 2*u**2 - 49/15*u**6. Determine n so that x(n) = 0.
-2/33, 1, 2
Let m(h) = 25*h**2 + 271*h - 361. Let x(s) = 8*s**2 + 92*s - 120. Let u(o) = 4*m(o) - 13*x(o). Factor u(g).
-4*(g - 1)*(g + 29)
Let g(c) = -10*c**4 - 405*c**3 + 405*c**2 + 3540*c + 70. Let r(o) = o**4 + 45*o**3 - 45*o**2 - 393*o - 8. Let i(n) = -4*g(n) - 35*r(n). Factor i(m).
5*m*(m - 3)*(m + 3)*(m + 9)
Let x(b) be the second derivative of b**4/72 + 67*b**3/18 - 68*b**2/3 + 1737*b. Determine s, given that x(s) = 0.
-136, 2
Let l be (-1*(-2)/4)/((-5459)/(-218360)) - 16. Find j, given that 0 + 3/5*j**5 - 48/5*j - 48/5*j**2 + 0*j**3 + 12/5*j**l = 0.
-2, 0, 2
Find j such that 255*j**2 - 182 - 518 + 410*j**2 - 2460*j**3 + 26*j**4 + 2460*j + 9*j**4 = 0.
-1, 2/7, 1, 70
Let q(j) be the third derivative of j**6/180 + j**5/9 + 4*j**4/9 + 11*j**2 + 11. Suppose q(p) = 0. What is p?
-8, -2, 0
Let n(i) be the third derivative of i**7/42 - 137*i**6/12 + 18769*i**5/12 - 5781*i**2. Suppose n(q) = 0. Calculate q.
0, 137
Factor 1/5*o**4 + 7*o - 7*o**3 - 1/5*o**2 + 0.
o*(o - 35)*(o - 1)*(o + 1)/5
Let t = -3077/12 + 1027/4. Let q(a) be the third derivative of 0 - 4/3*a**3 - 8*a**2 + 1/60*a**6 + 1/30*a**5 - t*a**4 + 0*a. Factor q(z).
2*(z - 2)*(z + 1)*(z + 2)
Determine h so that -1106*h + 2280*h**2 + 3*h**4 + 5586*h + 520 + 400*h**3 + 2440 + 2*h**4 = 0.
-74, -2
Let a(m) be the third derivative of -m**8/90720 + m**7/1134 - 5*m**6/162 + m**5/6 - 7*m**2. Let u(b) be the third derivative of a(b). Factor u(s).
-2*(s - 10)**2/9
Factor -2335*m**3 - 3*m**5 + 769*m**3 + 778*m**3 + 2*m**4 + 784*m**3 + 9*m**5.
2*m**3*(m + 1)*(3*m - 2)
Suppose 9*o - 32 + 14 = 0. Factor 6*m**5 + 6*m**3 + 7*m - 14*m**3 - 3*m**o + 4 - 2*m**4 - 5*m**5 + m**2.
(m - 4)*(m - 1)*(m + 1)**3
Let p(x) be the third derivative of -x**8/588 - 34*x**7/245 - 8*x**6/35 + 20*x**5/21 - 2*x**2 + 492. Find a such that p(a) = 0.
-50, -2, 0, 1
Let f be 4*(3 + (27/(-6) - -1)). Let s be 154/55 + f/(-10). Factor 3*j**s + 4*j**3 + j - 8*j**3 - 2 + 2*j**2.
-(j - 2)*(j - 1)*(j + 1)
Let w(h) = -h**2 + 11*h + 7. Let v be w(5). Suppose 0*n = -19*n + 5*n + 322. Suppose v*k - 5*k**2 + 28*k - 8*k - 320 + n*k = 0. What is k?
8
Let p be 18/(-189)*7*(-1)/(-36)*-1. Let j(k) be the third derivative of -24*k**2 + 0*k**3 + 0*k - p*k**4 + 0 - 1/270*k**5. Factor j(s).
-2*s*(s + 2)/9
Let u be (-2 - (-32)/20)/(-453 + 451). Solve 1 + 11/5*n + 7/5*n**2 + u*n**3 = 0 for n.
-5, -1
Let x(p) = 13*p - 303. Let f be x(25). Let i be 5/f*(-1 - (-63)/35). Suppose i*q**4 + 0*q + 0*q**3 + 32/11 - 16/11*q**2 = 0. What is q?
-2, 2
Let o = 32456 + -99016/3. Let d = -547 - o. Find h, given that 1/3*h**2 + 2 + d*h = 0.
-6, -1
Let t = -554/11 - -1207/22. Determine x so that -3*x - 1/2*x**2 - t = 0.
-3
Let s(k) be the first derivative of -3*k**4/4 + 12*k**3 - 135*k**2/2 + 150*k - 537. Factor s(i).
-3*(i - 5)**2*(i - 2)
Suppose -h = 4*y - 2*h - 11, 5*y = -5*h - 5. Suppose 2 = -y*n + 2*o + 4, 2*o - 2 = 0. Find a, given that 4*a**2 - 6*a**4 + 4*a**4 + n*a**2 + 3*a + a = 0.
-1, 0, 2
Factor 28*a**2 - 24/7*a**4 - 6*a**3 - 2/7*a**5 + 0*a + 0.
-2*a**2*(a - 2)*(a + 7)**2/7
Let p = 123474/7 + -17639. Let r(d) be the first derivative of -1/14*d**2 - 2/21*d**3 + 1/14*d**4 + 1/35*d**5 - 1/42*d**6 + 7 + p*d. Factor r(s).
-(s - 1)**3*(s + 1)**2/7
Let u(k) = k**3 - 329*k**2 + 652*k + 674. Let h be u(327). Let 0 + h*l - 5/3*l**2 - 5/3*l**3 = 0. What is l?
-4, 0, 3
Let t(y) be the second derivative of 3*y**5/20 - 19*y**4/2 + 160*y**3 + 1200*y**2 + 15*y + 7. Find d, given that t(d) = 0.
-2, 20
Let p = -784946 - -784949. Factor 3/5*h**2 + 0 - 6/5*h**p + 0*h - 9/5*h**4.
-3*h**2*(h + 1)*(3*h - 1)/5
Let g(h) be the first derivative of -10*h**3/7 - 23676*h**2/7 - 18936*h/7 - 4482. Solve g(k) = 0 for k.
-1578, -2/5
Suppose 8576/9*m + 4/9*m**2 + 4596736/9 = 0. What is m?
-1072
Let a(b) be the third derivative of 7/180*b**6 + 0 + 1/315*b**7 + 17/90*b**5 + 17/36*b**4 - 38*b**2 + 2/3*b**3 + 0*b. What is y in a(y) = 0?
-3, -2, -1
Let v(f) be the first derivative of -3*f**4/32 + f**3 + 21*f**2/4 - 30*f + 1255. Factor v(y).
-3*(y - 10)*(y - 2)*(y + 4)/8
Solve -2*x**3 - 21*x**2 + 30 + 46275*x**4 + x + x**5 - 15*x**2 - 46269*x**4 = 0.
-5, -3, -1, 1, 2
Factor -198*f**3 + 0 - 1/2*f**5 - 847*f**2 - 17*f**4 - 1331/2*f.
-f*(f + 1)*(f + 11)**3/2
Factor 324/5*z**2 + 2/15*z**3 - 324/5 - 2/15*z.
2*(z - 1)*(z + 1)*(z + 486)/15
Suppose -7*b + 36 = 3*k + 94, -36 = k + 4*b. Suppose 0 + 3/2*w + 9/4*w**2 -