*d**3. Factor q(i).
2*(i - 2)*(i + 9)/5
Let i(v) be the second derivative of -v**4/36 - 4*v**3 + 73*v**2/6 + 1122*v. Factor i(c).
-(c - 1)*(c + 73)/3
Let a(k) = -45*k**4 + 135*k**3 - 35*k**2 + 55. Let b = -49 - -43. Let r(s) = -5*s**4 + 15*s**3 - 4*s**2 + 6. Let i(p) = b*a(p) + 55*r(p). Factor i(u).
-5*u**2*(u - 2)*(u - 1)
Find d such that 60*d**3 - 2*d**5 + 26 + 86 + 262*d + 6 - 6*d**4 - 28 + 244*d**2 - 8*d**4 = 0.
-9, -1, 5
Let g = 365116/3 + -121704. Let -52*z**2 - g*z**3 - 532*z - 1444/3 = 0. What is z?
-19, -1
Let m(d) be the first derivative of 9/5*d**2 + 0*d - 44 - 38/15*d**3 + 11/10*d**4 - 2/25*d**5. Factor m(l).
-2*l*(l - 9)*(l - 1)**2/5
Suppose q + 8*w - 3*w = 3, q - 5*w - 3 = 0. Factor -108*n**2 + 15*n**4 - 11*n**q - 64*n - n**3 - 24 - 36*n + 5*n**4.
4*(n - 3)*(n + 1)**2*(5*n + 2)
Let j(x) be the third derivative of -11/15*x**3 + 17/90*x**4 - 2*x**2 - 1/450*x**5 + 0 - 43*x. Factor j(l).
-2*(l - 33)*(l - 1)/15
Let t(l) = -2*l**3 - 2*l**2 + 2*l - 1. Let r(o) = 23*o**3 + 740*o**2 + 467*o + 87. Let m(q) = 2*r(q) + 14*t(q). Let m(n) = 0. What is n?
-80, -1/3
Let r(a) be the second derivative of 0*a**4 + a + 1/165*a**6 + 29 + 0*a**2 - 3/110*a**5 + 0*a**3. Factor r(k).
2*k**3*(k - 3)/11
Let u = -556 - -558. Let p = 13 - 9. Factor -2*x**3 + 10*x**3 + x**u + 5*x**2 + 2*x**p.
2*x**2*(x + 1)*(x + 3)
Let o(f) be the second derivative of -f**7/231 - 34*f**6/165 + 37*f**5/110 + 35*f**4/33 - 12*f. Find l such that o(l) = 0.
-35, -1, 0, 2
Suppose 12*n - 16 = 8. Suppose 11 = -n*k - 3*h, 8*h - 4*h = -k - 18. Factor 3/8*r**3 - 3/2*r + 3/4*r**k - 3.
3*(r - 2)*(r + 2)**2/8
Let c(y) = 10*y**3 - 23*y**2 - 2*y - 15. Let f(v) = 5*v**3 - 12*v**2 - 2*v - 9. Let o(n) = 3*c(n) - 5*f(n). Factor o(b).
b*(b - 1)*(5*b - 4)
Find k such that 294/5 + 33/5*k**3 + 3/5*k**4 - 357/5*k + 27/5*k**2 = 0.
-7, 1, 2
Let u(p) = p**2 - 25*p + 117. Let z be u(21). Let k be 6/z + 96/924. Determine w so that -10/7*w**4 + 0 + 0*w + 12/7*w**3 - k*w**2 = 0.
0, 1/5, 1
Let j be 93/9 - (-5)/(-15). Determine f so that -41*f - j + 2*f**3 + 10*f**2 + 39*f + 0*f**2 = 0.
-5, -1, 1
Let u be (-13720)/(-2975) - 80/(-136). Solve 52/5*j**2 - u*j - 14/5*j**3 - 12/5 = 0 for j.
-2/7, 1, 3
Let d(v) be the first derivative of 5*v**3/3 - 315*v**2 + 1240*v + 2057. Factor d(l).
5*(l - 124)*(l - 2)
Let t(x) = 3*x**2 + 11*x + 12. Let h be t(-1). Let n(f) = -3*f**3 + 4*f**2 + 4*f. Let z(l) = 3*l**3 - 4*l**2 - 3*l. Let r(o) = h*n(o) + 5*z(o). Factor r(i).
i*(i - 1)*(3*i - 1)
Determine x, given that -35983*x + 2*x**2 - 36953*x + 74792*x + 430592 = 0.
-464
Suppose 0*t = -5*j + 2*t + 16, 0 = 3*t - 6. Let m be (5/(-40)*2)/((-2)/16). Suppose 7*g**3 - 16*g - 19*g**3 - 2*g**j + 11*g**2 - 35*g**m = 0. Calculate g.
-2, 0
Let a(j) = j**2 - 403*j + 9161. Let g be a(24). Factor 9*c**2 + g*c + 169/3 + 1/3*c**3.
(c + 1)*(c + 13)**2/3
Determine i, given that 21/8*i**3 - 3/8*i**4 + 27 - 45/2*i + 3/4*i**2 = 0.
-3, 2, 6
Let c(u) = 2*u**3 - u**2 + 2*u. Let j(d) = -2*d**4 - 48*d**3 + 30*d**2 - 40*d - 6. Let t(o) = 44*c(o) + 2*j(o). Find y such that t(y) = 0.
-3, -1, 1
Let w = 371/2308 + 453/11540. Determine g, given that 27/5 + 6/5*g**2 + 36/5*g - w*g**4 - 4/5*g**3 = 0.
-3, -1, 3
Let j(n) be the second derivative of -7*n**5/20 + 23*n**4/2 + 187*n**3/6 + 21*n**2 + n - 2931. Factor j(x).
-(x - 21)*(x + 1)*(7*x + 2)
Let u(p) be the third derivative of 1/9*p**3 + 0*p + 0 + 1/72*p**5 + 1/12*p**4 - 81*p**2. Find c such that u(c) = 0.
-2, -2/5
Let o(f) = 2*f**2 - 98*f - 104. Let h be o(43). Let t = 622 + h. Factor -8/9*n**t + 2/9 - 2/3*n.
-2*(n + 1)*(4*n - 1)/9
Let k be (-4)/(-2) + (-15071)/35 + 2. Let m = k - -427. What is w in -2/5*w**2 + m*w + 2/5 - 2/5*w**3 = 0?
-1, 1
Let l(j) be the first derivative of 16/27*j**3 + 20/9*j - 1/18*j**4 - 17/9*j**2 - 130. Factor l(u).
-2*(u - 5)*(u - 2)*(u - 1)/9
Let m(u) be the first derivative of 15*u**4 - 5428*u**3/3 - 1454*u**2 - 364*u - 467. Factor m(h).
4*(h - 91)*(3*h + 1)*(5*h + 1)
Let k(u) be the second derivative of 0 - 17*u + 0*u**3 - 1/50*u**6 + 0*u**4 + 3/20*u**5 + 0*u**2. Factor k(a).
-3*a**3*(a - 5)/5
Suppose 135 - 2682*r - 1083/4*r**5 + 57759/4*r**2 - 44757/4*r**3 + 12141/4*r**4 = 0. Calculate r.
2/19, 3, 5
Let g(n) be the first derivative of 0*n**2 + 1/27*n**3 + 2/9*n**4 + 122 + 0*n. Factor g(c).
c**2*(8*c + 1)/9
Suppose q - 3*q + 6 = 0. Suppose b + 70 = q*b. Find m such that -15*m**2 - 13*m**2 - 24*m - b*m + 15*m - 16 = 0.
-1, -4/7
Let t(r) be the second derivative of -25/12*r**4 - 12*r - 5/6*r**3 + 1/4*r**5 + 25/2*r**2 + 0. Let t(c) = 0. What is c?
-1, 1, 5
Let i be (0 - (-2)/3)*3. Let w(t) = -39*t - 2765. Let v be w(-71). Factor 10*n**3 - 10*n - 6*n**4 - 2*n**4 + 5*n**2 - i*n**4 + 5*n**v.
-5*n*(n - 2)*(n - 1)*(n + 1)
Let i be (0 - -1)*(27 + -2). Let s(o) = 15*o**3 - 22*o**2 - 67*o - 32. Let a(q) = 180*q**3 - 265*q**2 - 805*q - 385. Let z(j) = i*s(j) - 2*a(j). Factor z(l).
5*(l - 3)*(l + 1)*(3*l + 2)
Let i be (-9592)/9600 - (20/(-4))/5. Let l(c) be the third derivative of i*c**6 - 1/60*c**3 - 23*c**2 + 0 + 1/600*c**5 - 1/240*c**4 + 0*c. Factor l(n).
(n - 1)*(n + 1)**2/10
Let d be -3 + 17 + 0/(-3). Let h = -4 + d. Factor 5*q**2 + h*q - 14*q**3 + 25*q**4 - 30*q**3 + 4*q**3.
5*q*(q - 1)**2*(5*q + 2)
Let y(f) = 41*f**2 - 27*f**3 + 69*f**3 - 27*f**3 - 23*f - 8 - 3. Let u(d) = -3*d**3 - 8*d**2 + 5*d + 2. Let b(t) = -11*u(t) - 2*y(t). Factor b(j).
3*j*(j - 1)*(j + 3)
Let g(m) be the second derivative of -m**5/85 + 151*m**4/102 - 2960*m**3/51 + 4107*m**2/17 + 16*m + 5. Factor g(d).
-2*(d - 37)**2*(2*d - 3)/17
Let y(j) be the third derivative of -j**7/5 + 121*j**6/15 - 7*j**5/30 - 91*j**4/3 - 92*j**3/3 - 73*j**2 + 12*j. Determine s so that y(s) = 0.
-2/3, -2/7, 1, 23
Let l(f) be the second derivative of -13*f**7/30 + 4*f**6/9 - 2*f**5/15 - f**3/2 + 13*f**2 - f + 56. Let m(t) be the second derivative of l(t). Factor m(d).
-4*d*(7*d - 2)*(13*d - 2)
Let c(v) be the first derivative of -23/32*v**4 + 27/4*v**2 - 27/2*v - 1/48*v**6 + 9/40*v**5 - 3/8*v**3 + 35. Find x, given that c(x) = 0.
-2, 2, 3
Let v be (110/20)/((-88)/(-48)). Let k(c) be the first derivative of 3/2*c**2 + 1/3*c**v + 0*c - 22. Factor k(q).
q*(q + 3)
Let p(t) be the second derivative of 1/110*t**5 + 17 - 36/11*t**2 - 2*t + 1/6*t**4 + 8/11*t**3. Factor p(w).
2*(w - 1)*(w + 6)**2/11
Let p be ((-202)/(-101))/((-1)/3*-2). Let 16*s**4 - 4340 + 36*s - 12*s**2 + 4624 + 812*s - 1136*s**p = 0. What is s?
-1/2, 1, 71
Let n(r) = 10*r**2 + 151*r + 20. Let o be n(-15). Let q be o/(-3)*(-195)/2275. Let 5/7*v + q*v**3 + 2/7 + 4/7*v**2 = 0. Calculate v.
-2, -1
Find z, given that -1312/9*z + 2/9*z**2 + 215168/9 = 0.
328
Suppose 5 - 11 = -3*l. Suppose l*j = g, -j = -2*j - 3*g + 14. Factor -18*c**2 + 21*c**j + 0*c - 3*c**3 + 0*c.
-3*c**2*(c - 1)
Suppose 100*t - 1120 = 95*t. Let n = t + -222. Factor 8/7*s**n + 0 + 0*s + 4/7*s**4 - 12/7*s**3.
4*s**2*(s - 2)*(s - 1)/7
Let k(v) be the first derivative of -2*v**5/25 + 27*v**4/5 - 62*v**3/3 + 102*v**2/5 - 3561. Let k(d) = 0. What is d?
0, 1, 2, 51
Let c(d) be the first derivative of 1/30*d**4 + 4/5*d**2 + 1 + d + 4/15*d**3. Let r(u) be the first derivative of c(u). Factor r(j).
2*(j + 2)**2/5
Let d be -2 + (-11 + 5 - 1359) - -5. Let c = d - -1365. Find z such that 59/5*z**2 + 3/5*z**c - 9/5*z**4 + 6/5 + 37/5*z = 0.
-2, -1/3, 3
Let w be 1 - ((-60)/(-14) + 10/(-35)). Let n(b) = -7*b - 5. Let y be n(w). Factor 11*a**5 - y*a**5 + 3*a**4 - a**4 + 6*a**5.
a**4*(a + 2)
Let b(y) be the first derivative of 7/2*y**2 + 2*y**4 + 0*y**3 + 0*y - 1/15*y**5 - 37. Let f(d) be the second derivative of b(d). Factor f(s).
-4*s*(s - 12)
Factor -30 - 5/2*y**2 - 20*y.
-5*(y + 2)*(y + 6)/2
Let p(x) be the third derivative of x**7/105 + 2*x**6/15 + 11*x**5/15 + 2*x**4 + 3*x**3 - 9909*x**2. Find h, given that p(h) = 0.
-3, -1
Let w be ((-3)/(-9))/((-2336)/468 + 5). Let h = -39 + w. Suppose h + 4/3*z + 1/3*z**2 = 0. Calculate z.
-4, 0
Suppose -30 - 306 = -84*u. Let k(b) be the first derivative of 0*b**u + 0*b + 5 + 2/15*b**5 + 0*b**2 - 2/9*b**3. Solve k(s) = 0 for s.
-1, 0, 1
Suppose -604*f + 1134 = -1427 - 602 + 747. Factor -958/9*w**2 - 841/9 + 580/3*w - 1/9*w**f + 20/3*w**3.
-(w - 29)**2*(w - 1)**2/9
Let k(b) be the first derivative of b**6/12 + b**5/10 - 13*b**4/8 - b**3/6 + 3*b**2 + 1155. Find n such that k(n) = 0.
-4, 