1, 0, 1
Suppose 23*g**2 - 76 + g**4 - 29 + 49 + 14*g**3 - 14*g + 32 = 0. What is g?
-12, -2, -1, 1
Let v(w) be the second derivative of w**6/3 + 49*w**5/20 + 25*w**4/12 - 31*w**3/2 + 9*w**2/2 + w + 604. Factor v(f).
(f - 1)*(f + 3)**2*(10*f - 1)
Solve -7642*m - 7849090 - 618*m + 4*m**2 - 8*m**2 - 6324*m - 5444226 = 0.
-1823
Let n(w) = -141*w**2 + 1880*w + 110. Let q(b) = 140*b**2 - 1880*b - 115. Let x(l) = 5*n(l) + 6*q(l). Factor x(u).
5*(u - 14)*(27*u + 2)
Let l be (-460)/12*(-2)/(-7)*(-476)/340. Solve -2/3*x**4 - 4/3*x**3 + l*x**2 - 96 + 16*x = 0 for x.
-4, 3
Factor 0 - 29/4*p**2 - 1/4*p**3 + 15/2*p.
-p*(p - 1)*(p + 30)/4
Let m(n) be the second derivative of n**6/6 + 119*n**5/4 - 255*n**4 + 2470*n**3/3 - 1240*n**2 + 879*n - 3. Suppose m(k) = 0. What is k?
-124, 1, 2
Let g(l) = -28*l - 590. Let m(v) = -29*v - 581. Let k(i) = -5*g(i) + 4*m(i). Let q be k(-26). Determine u so that -50/11*u**q - 10/11 - 8/11*u**3 - 52/11*u = 0.
-5, -1, -1/4
Let l(r) = -80*r**2 + 108640*r + 72650. Let f(s) = 17*s**2 - 23280*s - 15568. Let z(i) = -65*f(i) - 14*l(i). What is w in z(w) = 0?
-2/3, 518
Let m(t) be the third derivative of -t**6/60 + 11*t**5/30 - 13*t**4/4 + 15*t**3 + 946*t**2 - t. Factor m(v).
-2*(v - 5)*(v - 3)**2
Let d be 15 - ((-3)/(-12)*4 - -4). Let y be (-49)/(-196)*8/d. Factor 0 + 0*i - 1/5*i**3 - y*i**2.
-i**2*(i + 1)/5
Let n(p) be the second derivative of p**5/20 + p**4/2 + 5*p**3/6 + 215*p. Factor n(z).
z*(z + 1)*(z + 5)
Let k be (-825)/(-99)*(11 + 1). Let h be (8/k)/(5/25). What is w in 0 + 0*w**2 + h*w**4 + 0*w - 1/5*w**3 - 1/5*w**5 = 0?
0, 1
Let m = 9 + -7. Let d be -24 - -55 - 2/1. Factor -11*a + 0 + 42*a**m + 28*a + 4 + d*a.
2*(a + 1)*(21*a + 2)
Let i = -277681/150 + 7405/4. Let m(t) be the third derivative of 1/8*t**4 + 16*t**2 + 0*t + 0 - 1/15*t**3 - i*t**5. Factor m(w).
-(w - 1)*(13*w - 2)/5
Let r(y) = 284*y**2 - 1379*y - 202. Let o be r(5). Let m(d) = -d**2 - 4*d + 7. Let i be m(-5). Suppose 0 + 0*x - 6/7*x**i + 3/7*x**o = 0. What is x?
0, 2
Solve -2*k**3 - 20*k**3 + 103*k**4 - 22*k**3 + 103*k**4 + 242*k**2 - 204*k**4 = 0.
0, 11
Suppose -5*w + 4*a + 41 = -4*w, -3*a = 4*w - 126. Let q be (w/(-36) - -1)/(21/84). Factor 2/3*b**2 - 1/3*b**3 + 0 - q*b.
-b*(b - 1)**2/3
Suppose i = -3*j + 7*j - 23, 0 = 3*j - 2*i - 21. Let 207 - 162 - 50*x + x**3 - 40*x + 40*x**2 + 9*x**3 - j*x**4 = 0. Calculate x.
-3, 1, 3
Factor -10*q - 1/2*q**2 + 21/2.
-(q - 1)*(q + 21)/2
Suppose -88*k = -90*k - 4*v, k - v - 6 = 0. Let t = -13 + 18. Find w, given that 9/2*w**3 + 6 - 9/2*w**t - 33/2*w**2 + 0*w + 21/2*w**k = 0.
-1, -2/3, 1, 2
Let f be 88/20 + 12/20. Suppose -f*l - 4*v = -6*l + 7, -l = -2*v - 9. Factor 6*r**3 + 4*r - 4*r**4 - l*r**3 + 12*r - 7*r**3.
-4*r*(r - 1)*(r + 2)**2
Let m = -250/961 - -8441752/8649. Let h = 976 - m. Determine l, given that 2/9*l**2 + h*l**3 + 0 - 4/9*l = 0.
-2, 0, 1
Let x(v) = -v**2 - 3*v - 6. Let z(o) = -6*o**2 - 21*o - 23. Let i(d) = 10*x(d) - 2*z(d). Suppose i(r) = 0. Calculate r.
-7, 1
Let n = 1 - -4. Let d(h) be the first derivative of -h**3/3 - 14*h**2 + 163. Let w(u) = 14*u. Let p(q) = n*w(q) + 2*d(q). Find x such that p(x) = 0.
0, 7
Suppose -17*b - 20 = -19*b. Suppose 5*u + 0 = b. Suppose -5*k**u + 42*k**3 - 4*k**2 - 40*k**3 + 5*k**2 + 2*k = 0. What is k?
0, 1
Suppose 0 = 2*m + 6*n - 24, -4*m + 13 = n + 9. Let f(c) be the second derivative of -14*c + 3/10*c**5 + 1/10*c**6 + m - c**3 - 3/2*c**2 + 0*c**4. Factor f(l).
3*(l - 1)*(l + 1)**3
Let q(v) = -43*v**3 + 1362*v**2 - 1328*v + 9. Let w(b) = 10*b**3 - 340*b**2 + 332*b - 2. Let k(c) = -2*q(c) - 9*w(c). Let k(p) = 0. Calculate p.
0, 1, 83
Let l(b) = b**2 - 4*b - 115. Let o be l(-9). Let t be 2/o + (-5)/50*-10. Factor 1/8 - 1/4*y + 1/8*y**t.
(y - 1)**2/8
Let j(w) be the second derivative of -3*w**5/40 - 25*w**4 - 2500*w**3 + 2506*w. Factor j(t).
-3*t*(t + 100)**2/2
Let x(l) be the second derivative of 1/30*l**5 + 4/9*l**4 + 0 - 18*l + 16/9*l**3 + 0*l**2. Factor x(j).
2*j*(j + 4)**2/3
Let p = 1215 - 1200. Let k(j) = 35*j**2 + 85*j - 15. Let q(r) be the first derivative of -5*r**3/3 - 6*r**2 + 2*r + 1. Let u(x) = p*q(x) + 2*k(x). Factor u(w).
-5*w*(w + 2)
Let i(r) be the second derivative of r**4/20 + 109*r**3/10 + 1071*r**2/5 + 15*r + 117. Factor i(o).
3*(o + 7)*(o + 102)/5
Let w = 453 + -363. Factor -129*l + w*l**2 + 24 - 68*l**2 + 73*l.
2*(l - 2)*(11*l - 6)
Suppose -48*l = -29*l + 266. Let t be 10/((-7)/(l/5)). Determine n so that -2/7*n - t*n**3 + 0 + 15/7*n**2 = 0.
0, 1/4, 2/7
Suppose 0 = -4*v + z + 540, z - 20 = -4*z. Let n be (-86)/v + ((-585)/36 - -17). Suppose 2/17*q**4 - 4/17*q - n*q**2 + 4/17*q**3 + 0 = 0. Calculate q.
-2, -1, 0, 1
Let k(a) be the third derivative of a**7/105 + 13*a**6/20 + 29*a**5/5 + 34*a**4/3 + 1945*a**2. Suppose k(h) = 0. What is h?
-34, -4, -1, 0
Factor -120*d - 46*d**2 - 100 - 6*d**3 - 1/4*d**4.
-(d + 2)**2*(d + 10)**2/4
Let m(n) be the first derivative of -5*n**3/9 - 805*n**2/3 - 794. Factor m(c).
-5*c*(c + 322)/3
Let g be (-22)/(-1) + -1 + 0. Factor -4 + 48*b + 10 + 3*b**3 + g*b**2 + 18 + 12.
3*(b + 2)**2*(b + 3)
Determine f, given that -1/2*f**3 + 11 - 5*f**2 + 13/2*f = 0.
-11, -1, 2
Suppose -2*o + 7 = q, -3*q - o - 411 + 422 = 0. Let g(c) be the second derivative of -c**4 - c**2 + 0 - 8*c - 7/3*c**q. Suppose g(v) = 0. Calculate v.
-1, -1/6
Let u be 29*2/4 - (-13825 - -13835). Suppose 33/4*k + 3/4*k**3 - 9/4*k**4 + 63/4*k**2 - u = 0. Calculate k.
-2, -1, 1/3, 3
Let z = 355 + -354. Let r be (z - -1)*(14 + -13)*1. Factor 2/5*d**4 + 4/5*d**3 + 0*d**r + 0*d + 0 - 2/5*d**5.
-2*d**3*(d - 2)*(d + 1)/5
Factor -85 - 1/4*f**2 - 341/4*f.
-(f + 1)*(f + 340)/4
Solve 6 - 7/2*r + 1/2*r**2 = 0.
3, 4
What is p in -12860*p**2 + 12858*p**2 + 2*p**3 + 2*p**4 + 4*p + 2*p**5 - 8*p**3 = 0?
-2, -1, 0, 1
Let t(k) be the second derivative of 21/4*k**2 - 65/24*k**3 + 125*k + 1/16*k**4 + 0. Determine l so that t(l) = 0.
2/3, 21
Let q(s) = -1 - 5*s - 5*s**3 + 1 - 10*s**2 + 0. Let g(j) = 5*j**3 + 10*j**2 + 5*j. Let x(p) = -4*g(p) - 5*q(p). Factor x(y).
5*y*(y + 1)**2
Let m = -221/20 + 4651/420. Let a(n) be the second derivative of 0 - m*n**4 - 5/21*n**3 - 24*n + 0*n**2. Factor a(w).
-2*w*(w + 5)/7
Let o be 16*1*(-3)/(-6). Let l be (-42)/(-11) + o/44. Determine j, given that 17*j - 19 - 5*j - 13 - 2*j**2 + l*j = 0.
4
Factor -361/4*p**2 - 121 + 209*p.
-(19*p - 22)**2/4
Let l(g) = -10*g**2 - 5. Let z(b) be the third derivative of -b**5/12 + b**4/12 - b**3/2 - 2*b**2 + 39. Let k(r) = 2*l(r) - 5*z(r). Solve k(v) = 0 for v.
1
Let y(h) be the first derivative of 60 + 2/5*h**2 + 4/5*h + 1/15*h**3. Suppose y(b) = 0. What is b?
-2
Let y(s) = -6*s**3 - 2*s**2 - 3. Let h(x) = 86*x**3 + 64*x**2 - 528*x + 938. Let i(g) = h(g) + 14*y(g). Factor i(p).
2*(p - 8)*(p - 2)*(p + 28)
Suppose 28 = 4*s - 4*r, -3500*s + 3504*s + 2*r + 2 = 0. Factor 1/4*c**s - 6 - 23/4*c.
(c - 24)*(c + 1)/4
Let v(y) = y**4 - 52*y**3 + 213*y**2 - 268*y + 109. Let n(q) = -12*q**4 + 572*q**3 - 2340*q**2 + 2948*q - 1200. Let c(a) = -3*n(a) - 32*v(a). Factor c(t).
4*(t - 7)*(t - 4)*(t - 1)**2
Suppose -4*x + 862 = 3*y - 206, -4*x = 2*y - 724. Suppose -3/2*k**4 - 29*k**3 - 355/2*k**2 - 96 - y*k = 0. Calculate k.
-8, -3, -1/3
Let l(b) = 7*b**2 - 11*b - 14. Let x = -538 - -536. Let a(w) = -2*w**2 + w + 1. Let k(n) = x*a(n) - l(n). Find g, given that k(g) = 0.
-1, 4
Let x = 889 - 886. Suppose -4*i + 17 = r, -5*r + 16 = x*i - 1. Solve 4/9*t**i - 32/9 - 8/9*t**2 + 4/3*t**3 - 16/3*t = 0 for t.
-2, -1, 2
Let q(z) = -119*z + 357. Let l be q(3). Let p(d) be the third derivative of 0 + 0*d**3 + 1/45*d**5 + l*d + 2/9*d**4 + 8*d**2. Factor p(u).
4*u*(u + 4)/3
Let d(g) = 38*g - 2461. Let w be d(65). Let l(q) be the first derivative of -1/4*q**2 + 0*q + w - 1/6*q**3. Factor l(x).
-x*(x + 1)/2
Let l(i) be the third derivative of i**5/120 - i**4 - 265*i**3/12 - i**2 + 198*i. Factor l(o).
(o - 53)*(o + 5)/2
Let c = 6773 + -27077/4. Let s(q) be the first derivative of 5/4*q**4 + 5/3*q**3 + 5/12*q**6 - c*q**2 - 3/2*q**5 + 5/2*q + 1. Factor s(j).
5*(j - 1)**4*(j + 1)/2
Let c be (-17190)/(-360) - -1*2/8. Let z = c - 142/3. Suppose 2/5*p**3 + 2/15*p - z*p**2 + 2/15 = 0. Calculate p.
-1/3, 1
Let f(b) be the second derivative of b**6/30 - 1653*b**5/5 + 2732409*b**4/2 - 3011114718*b**3 + 7466058943281*b**2/2 - 27*b - 5. Determine r so that f(r