 third derivative of -9*z**6/40 + 161*z**5/20 + 585*z**4/8 + 63*z**3/2 + 1600*z**2. Suppose h(b) = 0. Calculate b.
-3, -1/9, 21
Let -1/2*f**5 - 9 - 45/2*f + 3*f**3 + 3*f**4 - 14*f**2 = 0. Calculate f.
-1, 3, 6
Determine b so that -88/3*b**4 + 4/3*b**5 + 272/3 - 356/3*b + 352/3*b**3 - 184/3*b**2 = 0.
-1, 1, 4, 17
Let p(c) be the third derivative of c**5/240 + 31*c**4/32 + 2939*c**2. Factor p(t).
t*(t + 93)/4
Let o(q) be the second derivative of -q**5/5 - 7*q**4/3 + 52*q**3/3 + 144*q**2 + 2*q - 441. Factor o(m).
-4*(m - 4)*(m + 2)*(m + 9)
Suppose 0 = 21*c + 84 - 168. Let s(r) be the first derivative of -c*r + 1/3*r**3 + 0*r**2 + 5. Solve s(b) = 0.
-2, 2
Let w(b) = b**3 - 27*b**2 + 30*b - 87. Let a be w(26). Suppose a*v - 162 = -37*v. Solve -4/9*k**4 - 8/9*k**v + 4/9*k - 4/9 + 4/9*k**5 + 8/9*k**2 = 0 for k.
-1, 1
Let b(c) be the third derivative of -c**5/12 + 25*c**4/12 - 35*c**3/2 + 2424*c**2. Find l, given that b(l) = 0.
3, 7
Find f such that -224 + 4*f**2 - 680*f + 158 - 522 + 624*f = 0.
-7, 21
Let -2/7*u**3 - 1992/7 - 2182/7*u - 192/7*u**2 = 0. Calculate u.
-83, -12, -1
Let m(j) = 9*j**2 + 79*j + 56. Suppose 0 = -10*d + 6*d - 28. Let i(f) = 3*f**2 + 26*f + 19. Let g(z) = d*i(z) + 2*m(z). Factor g(t).
-3*(t + 1)*(t + 7)
Let g(l) = -19*l + 9*l + 6 + 11*l. Let k be g(-3). Find j such that 59*j + 128 - 55*j + 5*j**k + 37*j**2 - 115*j**2 + 284*j = 0.
-2/5, 8
Let h be (-145)/(-87) - (11305/(-63))/5. Factor h*g**3 + 56/9 + 736/9*g + 2470/9*g**2.
2*(g + 7)*(13*g + 2)**2/9
Let f(x) = 3*x**2 - 66*x + 88. Let a(i) = 2*i**2 - 68*i + 104. Let k(c) = -4*a(c) + 3*f(c). Factor k(d).
(d - 2)*(d + 76)
Let q = 752644 - 752642. Determine c, given that -47/9 + 31/3*c - 1/9*c**3 - 5*c**q = 0.
-47, 1
Let h be 2*(-4)/10 + (-133)/(-10). Let i(p) be the second derivative of -10/3*p**3 + 0 - h*p**2 + 5/12*p**4 + 38*p. Determine b, given that i(b) = 0.
-1, 5
Let v(n) = -2*n**2 - 34*n + 14. Let w be v(-18). Let q(u) = -10*u**2 - 50*u - 82. Let y(j) = 2*j**2 + 10*j + 16. Let s(x) = w*y(x) - 4*q(x). Solve s(i) = 0.
-3, -2
Factor -1/6*p**3 + 3/2*p**2 - 11/6*p - 1/6*p**4 + 2/3.
-(p - 1)**3*(p + 4)/6
Suppose -5082*s + 13848 = 3684. What is j in 20/7*j + 0 + 18/7*j**s = 0?
-10/9, 0
Let g(f) = 3*f**2 - 14*f + 14. Let a be g(1). Suppose 17 + 24 - a*v**2 - 14 = 0. Calculate v.
-3, 3
Let b = 9608/72285 + 2/4819. Let h(a) be the third derivative of 14*a**2 + 0*a**3 + 0*a - 4/25*a**5 - b*a**4 - 1/30*a**6 + 0. Factor h(u).
-4*u*(u + 2)*(5*u + 2)/5
Let f(v) be the second derivative of v**7/420 - v**6/90 - v**5/20 + 10*v**3 + v**2 - 5*v + 16. Let m(i) be the second derivative of f(i). Solve m(j) = 0 for j.
-1, 0, 3
Let l(r) be the first derivative of r**4/34 + 86*r**3/51 - 184*r**2/17 + 376*r/17 + 8577. Factor l(v).
2*(v - 2)**2*(v + 47)/17
Let f be (1772/20378)/(3/23)*25/4. Factor -f*l**3 - 49/3 - 63/2*l - 20*l**2.
-(l + 2)*(5*l + 7)**2/6
Solve 48*q - 117 - 25/4*q**2 + 1/4*q**3 = 0 for q.
6, 13
Let r be (-21)/3 + 8 + 4. Suppose 4*c + 15 = r*i, -c + 7 = -5*i + 22. Factor -18/7*d**3 + 3/7*d**4 + 24/7*d**2 + 0*d + c.
3*d**2*(d - 4)*(d - 2)/7
Let o(p) be the second derivative of p**5/180 + 11*p**4/36 + 121*p**3/18 + 43*p**2/2 - 5*p + 2. Let k(f) be the first derivative of o(f). Factor k(i).
(i + 11)**2/3
Let u be 3/(-2)*1*8/(-21). Let s = 36118 + -252824/7. Solve -u - 6/7*q - s*q**2 = 0 for q.
-2, -1
Let t(g) be the first derivative of -g**5/25 - 11*g**4/10 - 8*g**3/3 + 1089. What is z in t(z) = 0?
-20, -2, 0
Find k, given that -15*k**2 + 6*k + 72/5 + 3/5*k**4 - 6*k**3 = 0.
-2, -1, 1, 12
Let d(t) = 15*t - 40. Let p be d(3). Determine u, given that -u**5 - 21*u**4 - 14*u**2 + 26*u**2 - 8*u**p = 0.
-2, -1, 0, 2/3
Factor 0*r - 38/3*r**4 + 0 - 2/3*r**5 + 0*r**2 - 12*r**3.
-2*r**3*(r + 1)*(r + 18)/3
Let q(y) = -8*y**2 + 97*y - 135. Let r(t) = 38 - 20*t + 87 + 5*t**2 - 35 - 45*t. Let d(g) = 5*q(g) + 7*r(g). Let d(c) = 0. Calculate c.
3
Let x(g) be the third derivative of g**6/40 + 83*g**5/20 + 210*g**4 - 882*g**3 + 7*g**2 + 65*g. Solve x(y) = 0 for y.
-42, 1
Suppose 0 = -18*s + 13*s - 4*c - 4, 5*s + 3*c + 3 = 0. Suppose -187*v + s - 6 + 86*v + 1 + 95*v - v**2 = 0. Calculate v.
-5, -1
Let s be -5*(-2)/20*(27 + -21). Let u(r) be the third derivative of -2*r**s + 11/10*r**6 + 0*r + 0 + 25/8*r**4 - 7*r**2 - 4/35*r**7 - 27/10*r**5. Factor u(h).
-3*(h - 4)*(2*h - 1)**3
Suppose a + 11 = 2*w + 15, 3*a - 12 = 2*w. Solve -2/5*d**a + 2*d + 14/5*d**3 - 22/5*d**2 + 0 = 0.
0, 1, 5
Let o be 3*(-2)/27 + (-14)/18. Let v(p) = 2*p**2 - p + 1. Let y(z) = 5*z**3 - 5*z**2 - 10. Let d(w) = o*y(w) - 5*v(w). Let d(c) = 0. Calculate c.
-1, 1
Let l = 22 + 2. Factor 32*i - l*i**2 - 46*i - 12*i - 13*i - 18 - 3*i**3.
-3*(i + 1)**2*(i + 6)
Suppose -72 + 74 = w. Let y be (-3)/(3/6 - w). Solve -r**2 + 2*r**3 + 2*r**2 - 5*r**3 + y*r**3 + 2*r = 0.
-1, 0, 2
Suppose 73*i + 0 - 1/3*i**3 + 70/3*i**2 = 0. What is i?
-3, 0, 73
Factor 0*x - 18*x**3 + 108/5*x**2 + 0 + 24/5*x**4 - 2/5*x**5.
-2*x**2*(x - 6)*(x - 3)**2/5
Suppose 0 = 41*a - 13*a - 21 - 35. Determine w, given that 4 + 6/5*w - 2/5*w**a = 0.
-2, 5
Let y be 910/(-546) + 25/15. Factor 5/4*w**4 + 1/2*w**5 + 1/4*w**2 + y + 0*w + w**3.
w**2*(w + 1)**2*(2*w + 1)/4
Let s be (-14*44/96 - -8) + (-80)/60. Solve 5*h - 5/4*h**3 + s*h**4 - 4 + 0*h**2 = 0 for h.
-2, 1, 2, 4
Let m(s) be the third derivative of -1/70*s**7 + 0 + 1/20*s**6 - 134*s**2 + 0*s**3 + 1/20*s**5 - s - 1/4*s**4. Factor m(w).
-3*w*(w - 2)*(w - 1)*(w + 1)
Let c be (1 + 3/(-2))*22078/(-7885). Solve 0 - 1/5*m**3 + 0*m + c*m**2 = 0.
0, 7
Let m(n) be the first derivative of -n**6/3 - 36*n**5/5 + 53*n**4 - 400*n**3/3 + 159*n**2 - 92*n - 3730. Factor m(y).
-2*(y - 2)*(y - 1)**3*(y + 23)
Let j(v) be the first derivative of -v**3 - 1971*v**2 - 1294947*v - 2842. Solve j(k) = 0 for k.
-657
Factor 993/2*h - 990 - 3/4*h**2.
-3*(h - 660)*(h - 2)/4
Let o = -240696 + 722089/3. Factor -32/3*t - 31/3 - o*t**2.
-(t + 1)*(t + 31)/3
Suppose 196*w - 578*w + 1910 = 0. Let r(z) be the second derivative of -10/9*z**2 - 2/9*z**4 - 16*z + 7/9*z**3 + 0 + 1/90*z**w. Suppose r(o) = 0. What is o?
1, 10
Let v(i) be the first derivative of i**4/2 + 4*i**3 - 61*i**2 - 132*i + 968. Factor v(k).
2*(k - 6)*(k + 1)*(k + 11)
Let v(s) = 30*s**2 - 60*s + 35. Let o be v(1). Factor -o*j - 5/2*j**3 + 35/4*j**2 - 5/4*j**4 + 0.
-5*j*(j - 1)**2*(j + 4)/4
Let 0*p**2 + 0 - 8/3*p**3 + 2/3*p**4 + 1/3*p**5 + 0*p = 0. What is p?
-4, 0, 2
Let x be (-8 + 7)/(1/(-5)). Solve 0*a**5 + 122*a - 8*a**2 - 12*a**3 - 8*a**4 - 2*a**x - 124*a = 0 for a.
-1, 0
Let p = -527 - -537. Determine q, given that 3 + p*q**3 + 1 + 2*q**2 - 9*q**3 - 3*q - 4 = 0.
-3, 0, 1
Let p(f) be the third derivative of f**5/100 - 133*f**4/10 + 35378*f**3/5 + 4946*f**2. Determine o, given that p(o) = 0.
266
Let d(z) be the second derivative of z**4/18 + 56*z**3/9 - 147*z**2 + 579*z - 3. Factor d(r).
2*(r - 7)*(r + 63)/3
Factor -18225 - 1/4*p**2 + 135*p.
-(p - 270)**2/4
Let r(u) be the second derivative of u**7/21 + 172*u**6/15 - 87*u**5/5 - 86*u**4/3 + 173*u**3/3 - 9*u + 90. Determine v, given that r(v) = 0.
-173, -1, 0, 1
Let v be ((-28)/(-8) + -4)/((-2)/12). Suppose 13 = -4*w - 5*z, -3*w - z = -6 + 2. What is x in -4 + 12*x + 24*x**w + 5 + 7 + 4*x**v - 48*x**2 = 0?
-2/7, 1
Determine i, given that 68/5*i**2 - 64/5 - 4/5*i**4 + 12*i - 12*i**3 = 0.
-16, -1, 1
Let v(p) = -23*p**3 - 1142*p**2 - 1095*p - 2. Let n(a) = 70*a**3 + 3439*a**2 + 3285*a + 7. Let i(b) = -2*n(b) - 7*v(b). Factor i(u).
3*u*(u + 1)*(7*u + 365)
Let 9*x + 9/2 + 5/2*x**2 = 0. What is x?
-3, -3/5
Let j be (-114)/12*((-3174)/437 + 7). Let 5/2*z**5 + 15*z**3 + 0 - 10*z**4 + j*z - 10*z**2 = 0. Calculate z.
0, 1
Let m(w) be the first derivative of 2*w**3/27 - 37*w**2/9 + 1615. Factor m(p).
2*p*(p - 37)/9
Let v(x) be the second derivative of x**5/220 + 20*x**4/33 + 800*x**3/33 + 4*x - 96. Factor v(m).
m*(m + 40)**2/11
Let o = 59/6 - 283/30. Suppose -12*d + 17*d = 2*l + 16, 0 = -5*d - 2*l + 4. Let -4/15 - 2/15*r**d + o*r = 0. What is r?
1, 2
Let t(m) be the first derivative of -278 - 1/12*m**4 + 0*m - m**2 - 5/9*m**3. Solve t(c) = 0 for c.
-3, -2, 0
Suppose 3*q - 1 = -16, 40 = 5*b + 4*q. Suppose 4*l**4 - 16*l**3 + b*l**2 - 525*l + 525*l = 0. Calculate l.
0, 1, 3
Determine a so that -3/4*a**2 - 693/4 + 60*a = 0.
3, 77
Let r(w) = 7*w**2. Let s(h) = 