z + 2)
Let -3 + 15*v - 54*v**2 - 15*v**4 + 30*v**3 + 12*v**2 + 12*v**2 + 3*v**5 = 0. What is v?
1
Let b be (-1612)/2160 - (-18)/24. Let y(n) be the third derivative of 0 - 1/27*n**3 - b*n**5 + 0*n + 2*n**2 + 1/54*n**4. Factor y(o).
-2*(o - 1)**2/9
Factor -462*j**3 + 195*j**3 - 3*j**4 - 39*j**2 + 225*j**3.
-3*j**2*(j + 1)*(j + 13)
Let l(q) be the first derivative of -q**6/2700 - 2*q**5/225 - 4*q**4/45 + 2*q**3/3 + 21. Let s(x) be the third derivative of l(x). Factor s(n).
-2*(n + 4)**2/15
Let p(t) be the first derivative of t**6/280 - t**5/35 + 3*t**4/56 + t**2/2 - 15. Let r(k) be the second derivative of p(k). Factor r(s).
3*s*(s - 3)*(s - 1)/7
Let p(x) be the third derivative of -x**6/80 + 27*x**4/16 + 27*x**3/2 + 46*x**2 - 2. Determine o so that p(o) = 0.
-3, 6
Let w(k) be the first derivative of 3*k - 37 + 2*k**2 + 1/3*k**3. Determine l so that w(l) = 0.
-3, -1
Let r = -2532 - -2537. Let n(p) be the first derivative of 0*p + 1/3*p**3 - 2 - 1/2*p**2 - 1/5*p**r + 1/4*p**4. Factor n(d).
-d*(d - 1)**2*(d + 1)
Suppose 0 = -3*m + 3*f, -4*m + 1 = -3*f - 2. Suppose 0*h**4 - 12*h**m + 16*h**4 - 4*h**2 + 0*h**3 = 0. Calculate h.
-1/4, 0, 1
Let d = -2 - -5. Let h(m) = -2*m**2 - 39*m + 63. Let l be h(-21). Find q such that -1/3*q**2 + 1/3*q**4 - 1/6*q + 1/6*q**5 + 0 + l*q**d = 0.
-1, 0, 1
Let l(u) be the second derivative of -u**4/15 - 22*u**3/15 - 56*u**2/5 + 707*u. Factor l(g).
-4*(g + 4)*(g + 7)/5
Let m be (29 - -4) + -4 + -1. Let b be 29/42 - (3 - 88/m). Solve -5/6*g**2 + b*g**3 - 1/3 - 7/6*g + 7/6*g**4 + 1/3*g**5 = 0 for g.
-2, -1, -1/2, 1
Let r(d) = d**4 + d**3 - d**2 - d. Let w(x) = 3*x**4 + 5*x**3 + x**2 - x. Let c(n) = -2*r(n) + w(n). Factor c(g).
g*(g + 1)**3
Solve 20/7 - 22/7*t + 2/7*t**2 = 0.
1, 10
Let y(i) be the second derivative of 3*i**5/5 + 53*i**4/4 + 47*i**3 + 135*i**2/2 - i - 45. Factor y(r).
3*(r + 1)**2*(4*r + 45)
Let g(n) = n**2 + 16*n**3 - 17*n**3 + n - 4*n + 4*n**2. Let c be g(4). Factor -637*t**3 - 1331*t**5 - 68*t**2 - 221*t**3 - 8*t - 2057*t**c - 72*t**2.
-t*(t + 1)*(11*t + 2)**3
Let x(k) be the third derivative of 1/96*k**4 - 1/12*k**3 + 1/240*k**5 + 0*k - k**2 + 0. Determine h, given that x(h) = 0.
-2, 1
Let g be -3*1 - 24/(-4). Suppose g*q = 8*q. Factor -4*l + 4 - 2*l**3 + q*l + 10*l.
-2*(l - 2)*(l + 1)**2
Let j be (-106)/(-954) - 2/(-9). Let t(s) be the second derivative of 8*s + 0*s**2 + 0 + j*s**3 - 1/4*s**4. Factor t(r).
-r*(3*r - 2)
Let t = 27 + -27. Suppose -2 + t = -c. Determine o so that -6*o - 3*o + o**3 + 6 + c*o**3 = 0.
-2, 1
Suppose 3*z - 1 = -2*b, -1574*z + 1572*z - 14 = 5*b. Find x such that 44*x**2 + 208/3*x - 28/3*x**z + 16 = 0.
-1, -2/7, 6
Let y(r) = 7*r**2 + 9*r - 6. Let s(q) = -8*q**2 - 10*q + 7. Suppose -14*x - 14 = -12*x. Let w(h) = x*y(h) - 6*s(h). Solve w(o) = 0.
-3, 0
Let a(w) = 401*w - 1. Let v be a(2). Let -32*h**4 + 821*h**5 - 16*h**3 - v*h**5 + h**2 - h**2 = 0. What is h?
-2/5, 0, 2
Let m(g) be the second derivative of 5*g**7/126 - g**6/3 + 3*g**5/4 - 5*g**4/9 + 152*g + 2. Let m(o) = 0. Calculate o.
0, 1, 4
Let s(c) be the second derivative of c**7/525 - c**6/150 + c**5/150 + 4*c**2 - 12*c. Let y(o) be the first derivative of s(o). Suppose y(j) = 0. What is j?
0, 1
Let y = 116 + -112. Suppose 96 = -y*v + 96. Factor -3/5*w**4 + 6/5*w**3 + v*w**2 - 6/5*w + 3/5.
-3*(w - 1)**3*(w + 1)/5
Factor 8/5*f - 1/5*f**2 - 3.
-(f - 5)*(f - 3)/5
Let 12*a**5 + 588*a + 560*a**3 - 7*a**5 + 1280 + 830*a + 1142*a + 1760*a**2 + 85*a**4 = 0. What is a?
-4, -1
Let r = 4 - 1. Let p(z) = -7*z**2 + 2*z**3 - 6*z - z**r + 7*z + 6*z - 1. Let t(s) = -2*s**3 + 15*s**2 - 15*s + 2. Let w(u) = -9*p(u) - 4*t(u). Factor w(a).
-(a - 1)**3
Let a = -60 - -63. Factor -5*n**4 + 218*n**2 + 20*n + 12*n - 20*n**a - 2*n - 223*n**2.
-5*n*(n - 1)*(n + 2)*(n + 3)
Let a(y) = y**2 + 37*y + 340. Let r be a(-20). Let i(p) be the first derivative of 7 + r*p - 5/3*p**3 - 5/2*p**2. Solve i(g) = 0 for g.
-1, 0
Let r(m) be the first derivative of -2*m**3/5 + 11*m**2/5 + 8*m/5 + 15. Let r(l) = 0. Calculate l.
-1/3, 4
Let f(q) be the second derivative of q**6/70 - 3*q**5/35 + q**4/14 + 2*q**3/7 - 9*q**2/14 + 10*q - 1. Factor f(l).
3*(l - 3)*(l - 1)**2*(l + 1)/7
Let m = 34380 - 240654/7. Factor 6*y - m*y**5 + 12/7*y**3 + 48/7*y**2 - 12/7*y**4 + 12/7.
-6*(y - 2)*(y + 1)**4/7
Let z be (-2 + (-10)/(-6))/((-332)/24 - -13). Find j, given that 4/5*j + 0 + z*j**2 = 0.
-2, 0
Let t be ((-192)/15)/((-4)/(-120)). Let j be (-136)/(-10) - (t/(-40) - 10). Find f, given that 2 + j*f**3 + 45/2*f**4 + 7*f**5 - 19/2*f**2 - 6*f = 0.
-2, -1, 2/7, 1/2
Let f(d) = -d**3 + 14*d**2 - 11*d - 17. Suppose -5*u = -0*h + 3*h - 44, h - u = 12. Let c be f(h). Find v, given that 1/3*v**3 + c*v - 9 - 3*v**2 = 0.
3
Determine c so that 2*c**2 + 0 - c**3 + 3/2*c - 2*c**4 - 1/2*c**5 = 0.
-3, -1, 0, 1
Let d(y) be the first derivative of 3*y**6/10 - 3*y**5/5 - y**4/4 + y**3 + 4*y - 14. Let i(f) be the first derivative of d(f). Factor i(s).
3*s*(s - 1)**2*(3*s + 2)
Let k = -735 + 7361/10. Let q = 37/20 - k. Solve -1/4*p**5 - 3/4*p**4 - q*p**3 + 0*p + 0 - 1/4*p**2 = 0 for p.
-1, 0
Let n(m) be the first derivative of 11*m**3/6 + 9*m**2/2 - 4*m + 20. Suppose n(u) = 0. Calculate u.
-2, 4/11
Let z(w) be the third derivative of 9*w**2 + 2*w - 1/480*w**6 + 1/96*w**4 + 0 + 0*w**3 - 1/240*w**5 + 1/840*w**7. Factor z(h).
h*(h - 1)**2*(h + 1)/4
Factor 221/5*i + 48841/10 + 1/10*i**2.
(i + 221)**2/10
Factor -4/7*d + 4/7*d**3 + 2/7*d**4 - 2/7*d**2 + 0.
2*d*(d - 1)*(d + 1)*(d + 2)/7
Suppose v + 3*a = 98, -a = -0*v - v + 98. Let g be 28/v - (-16)/(-154). Factor 2/11*d**2 + 0 - g*d**3 + 0*d.
-2*d**2*(d - 1)/11
Solve 84/11 + 130/11*u + 6/11*u**2 = 0.
-21, -2/3
Let f(a) = -2*a**2 - 7*a. Let l be f(-3). Solve 6*b**4 - 3*b**4 + 3*b**3 - l*b**2 - 5*b + 2*b = 0 for b.
-1, 0, 1
Solve 69*k**4 + 808*k + 17*k**4 - 5*k**5 - 115*k**3 - 1085*k**2 + 2122*k + 10*k - 21*k**4 = 0 for k.
-4, 0, 3, 7
Factor 0 - 1/8*p**3 - 7/4*p**2 + 15/8*p.
-p*(p - 1)*(p + 15)/8
Let z(b) be the second derivative of 0*b**2 - 1/12*b**4 + 15*b - 2/15*b**3 + 0 - 1/100*b**5. Factor z(j).
-j*(j + 1)*(j + 4)/5
Let x = 189 - 187. Let d be (25/(-30))/5*-1*x. Factor -d*i**2 + 2/3 + 1/3*i.
-(i - 2)*(i + 1)/3
Let u be (63/14 - 3) + 25/(-20). Suppose -1/4*t**2 + u*t + 0 = 0. What is t?
0, 1
Let o(b) be the third derivative of -3*b**5/20 + 11*b**4/24 + 6*b**2. Let s = 9 - 5. Let p(d) = 5*d**2 - 6*d. Let a(h) = s*o(h) + 7*p(h). Factor a(w).
-w*(w - 2)
Let -22/5*d**2 + 0 + 6*d**3 - 8/5*d = 0. Calculate d.
-4/15, 0, 1
Suppose 20*b - 36 - 24 = 0. Let x(u) be the first derivative of 1/2*u**3 + 6*u - 2 + b*u**2. Factor x(c).
3*(c + 2)**2/2
Let a(y) = -y**3 - 6*y**2 - 3*y - 14. Let m be a(-6). Let o be ((-252)/(-15))/(-6) + m. Factor o*i**2 + 2/5 + 6/5*i + 2/5*i**3.
2*(i + 1)**3/5
Let z = 63/4 - 15. Let d be 1*(-1)/1*0/(-5). Factor d*m**3 - z*m + 3/4*m**5 + 3/2*m**4 + 0 - 3/2*m**2.
3*m*(m - 1)*(m + 1)**3/4
Let u(w) = 5*w**2 - w + 1. Let x(l) = 20*l**2 - 52*l + 17. Let a(s) = 3*u(s) + x(s). Factor a(m).
5*(m - 1)*(7*m - 4)
Suppose -3*f = -4*f + 4. Find o, given that 9*o + 3*o**4 + 3*o**2 + 9*o**3 - 12 - 6*o**f - 18*o**3 + 12*o**2 = 0.
-4, -1, 1
Let u(w) = -3*w**4 - 7*w**3 + 24*w**2 - 11*w - 5. Let d(x) = x**3 - x**4 + 0*x**3 + 13 - 14 + x. Let s(r) = 5*d(r) - u(r). Factor s(h).
-2*h*(h - 2)**3
What is n in -2/13*n**2 + 28/13*n + 64/13 = 0?
-2, 16
Let v(b) be the second derivative of 10/3*b**3 + 0 + 25*b**2 - 7*b + 1/6*b**4. Determine i so that v(i) = 0.
-5
Factor 117*p**2 + 146*p**2 + 2*p**4 + 139 + 253 - 840*p + 243*p**2 - 60*p**3.
2*(p - 14)**2*(p - 1)**2
Let n(r) be the second derivative of -r**6/15 + 4*r**5/5 - 7*r**4/6 + 19*r. Factor n(b).
-2*b**2*(b - 7)*(b - 1)
Let f be (-4)/18 + (10 - (1168/144 + 1)). Factor 1/3*u**4 + f*u**3 - 8/3*u - 4/3*u**2 + 0.
u*(u - 2)*(u + 2)**2/3
Let a be 20/(-60)*778*(-6)/(-16). Let d = -96 - a. Suppose -3*p**2 - d*p**3 - 1/2 - 9/4*p = 0. Calculate p.
-1, -2/5
Let c(b) be the second derivative of -b**4/72 - 43*b**3/36 + 11*b**2/3 - 2*b - 10. Solve c(a) = 0.
-44, 1
Let u(f) be the second derivative of 7/20*f**4 + 0 + 9/5*f**2 - 23/10*f**3 + 19*f. Find i, given that u(i) = 0.
2/7, 3
Let j(g) be the first derivative of -g**5/5 - 4*g**4 - 64*g**3/3 + 29. Determine x so that j(x) = 0.
-8, 0
Let b be 34/120 + 705/100 + -7. Factor b*o*