11 - 2*y = 0. Calculate y.
-1, 1
Let y = 8 + 68. Let s be (-52)/(-136) + (-1 - y/(-68)). Let n - n**3 + 0 - 1/2*n**2 + s*n**4 = 0. What is n?
-1, 0, 1, 2
Let u(l) be the first derivative of -l**6/160 + l**5/80 + l**4/32 - l**3/8 + 125*l**2 + 95. Let y(x) be the second derivative of u(x). Factor y(a).
-3*(a - 1)**2*(a + 1)/4
Let q(m) be the third derivative of -m**8/120960 + m**7/3780 + m**6/480 - 5*m**5/12 + 55*m**2. Let a(l) be the third derivative of q(l). Factor a(n).
-(n - 9)*(n + 1)/6
Let b(d) be the first derivative of d**3/9 + 323*d**2 + 312987*d + 352. Factor b(j).
(j + 969)**2/3
Factor 0 + 529/3*b - 1/3*b**2.
-b*(b - 529)/3
Let g(z) be the third derivative of -31*z**2 - 1/36*z**4 + 0 - 1/360*z**5 + 0*z - 1/12*z**3. Factor g(a).
-(a + 1)*(a + 3)/6
Suppose -23*m = -20*m + 2*x + 17, 0 = 3*m - 3*x - 48. Factor -1/5*q**m - 13/5*q**2 - 36/5 - 48/5*q.
-(q + 1)*(q + 6)**2/5
Let t(b) be the first derivative of -49/4*b + 41/12*b**3 - 234 + 3/16*b**4 + 133/8*b**2. Factor t(x).
(x + 7)**2*(3*x - 1)/4
Let n(t) be the first derivative of -2*t**3/3 - 519*t**2 + 1040*t - 4824. Factor n(w).
-2*(w - 1)*(w + 520)
Let f(y) be the second derivative of y**5/20 + y**4/4 - 5*y**3/6 - y**2 - 139*y. Let p be f(-4). Find u, given that 0*u**p + 0*u - 2/7*u**4 + 2/7*u**3 + 0 = 0.
0, 1
Let a = -36097 - -36097. What is h in -6/7*h**2 + a - 2/7*h**3 + 0*h = 0?
-3, 0
Suppose 75*x = -38*x + 339. Let b(d) be the first derivative of -5*d**2 + 0*d**x + 5/2*d**4 - 5*d - 14 + d**5. Factor b(u).
5*(u - 1)*(u + 1)**3
Let r(u) = 179*u**2 + 3473*u + 538. Let p(f) = -214*f**2 - 3472*f - 539. Let n(a) = -4*p(a) - 5*r(a). Factor n(z).
-3*(z + 89)*(13*z + 2)
Let i = 294476/3 + -98154. Suppose i*c**3 - 2/3*c**5 - 2/3*c**2 - 4*c + 2/3*c**4 + 0 = 0. What is c?
-2, -1, 0, 1, 3
Let -1/3*r**4 - 254/3*r**2 + 0 - 85*r**3 + 0*r = 0. Calculate r.
-254, -1, 0
Suppose -2*j + 3 = 13. Let t be -1*((0 - -3) + j). Factor -7*p**t - 14 - 2*p**2 + 5*p**2 + 28*p - 26.
-4*(p - 5)*(p - 2)
Let i(b) = -10*b**2 + 465*b - 11035. Let z(d) = -d**2 - 17*d - 29. Let s be z(-15). Let w(j) = j**2 + j - 2. Let u(t) = s*i(t) + 5*w(t). Factor u(x).
-5*(x - 47)**2
Let h be ((-40)/(-24))/((-10)/(-12)). Factor -109*f**h + 16*f - 103*f**2 - 108*f**2 + 52 + 14*f + 322*f**2.
2*(f + 2)*(f + 13)
Let f(i) be the third derivative of i**7/42 + i**6/8 - 4*i**5/3 + 5*i**4/2 + 648*i**2. Factor f(o).
5*o*(o - 2)*(o - 1)*(o + 6)
Let l(a) be the first derivative of -a**4/2 + 52*a**3 - 857*a**2 + 1560*a - 3353. Solve l(d) = 0 for d.
1, 12, 65
Let v(a) = 31*a**4 + 3*a**3 + 2*a. Let y(m) = 30*m**4 + 3*m**3 + 3*m. Let d be -5 + 42/(9 - 3). Let f(o) = d*y(o) - 3*v(o). Find p such that f(p) = 0.
-1/11, 0
Suppose 0 = -5*i + 52*i + 36425. Let t = i - -779. What is a in 6 - 21/4*a**3 - 15*a + 3/4*a**t + 27/2*a**2 = 0?
1, 2
Let u be (921/(-1842))/(2/(-84)). Let x(y) be the second derivative of -49*y**2 + 0 + 50*y - 1/10*y**5 - 5/2*y**4 - u*y**3. Factor x(r).
-2*(r + 1)*(r + 7)**2
Let i = -17568 - -17574. Let l(r) be the third derivative of 1/80*r**i + 0*r**4 + 0*r + 9/40*r**5 - 38*r**2 + 0 + 0*r**3. Factor l(g).
3*g**2*(g + 9)/2
Let y = 715/474 + 25/158. Let r(t) be the first derivative of 26 - 5/2*t**2 - 10*t + y*t**3. Factor r(f).
5*(f - 2)*(f + 1)
Let t be (-42)/(-18) + ((28/12)/(-7) - (37 - 37)). Suppose 27/2*g**2 - 41/2*g - t*g**3 - 6 = 0. What is g?
-1/4, 3, 4
Suppose -2*i = 52 - 58. Factor -8*c - 52*c**3 + 48*c**i - 13*c**2 + c**2.
-4*c*(c + 1)*(c + 2)
Factor -25 - 5/2*d**3 + 295/6*d - 45/2*d**2 + 5/6*d**4.
5*(d - 6)*(d - 1)**2*(d + 5)/6
Let y(o) be the third derivative of -o**5/20 + 25*o**4/8 - 12*o**3 - 2*o**2 + 40. Let b be y(24). Factor 4/7*l**2 + 10/7*l**3 + 8/7*l**4 + 2/7*l**5 + 0*l + b.
2*l**2*(l + 1)**2*(l + 2)/7
Factor 43/4*v + 21/2 + 1/4*v**2.
(v + 1)*(v + 42)/4
Let t = -485 - -484. Let q be (-8)/2*t - 4. What is s in -4/5*s**2 - 2/5*s**3 - 2/5*s + q = 0?
-1, 0
Let p(x) be the third derivative of x**7/70 + x**6/40 - x**5/5 - x**4/2 - 764*x**2. Factor p(r).
3*r*(r - 2)*(r + 1)*(r + 2)
Let r = -509/15 + 3061/90. Let k(c) be the third derivative of 8/9*c**3 - 1/5*c**5 + 0*c + 0 - 2/3*c**4 + 5*c**2 + r*c**6. Let k(q) = 0. Calculate q.
-1, 2/7, 2
Let n(c) = -3*c**2 + 28*c - 1. Let u be n(9). Let 3*z**2 - u + z**2 - 2*z**2 - 3*z**2 - 6*z = 0. What is z?
-4, -2
Let k(i) be the first derivative of 9*i**2 + 1/6*i**6 + 29/4*i**4 - 53 + 0*i + 9/5*i**5 + 13*i**3. What is b in k(b) = 0?
-3, -2, -1, 0
Let p(l) be the second derivative of -l**5/40 - 191*l**4/12 - 3008*l**3 + 18432*l**2 - 7*l + 166. Suppose p(s) = 0. Calculate s.
-192, 2
Let g = 10 + -11. Let c be -11 + 8 - g*5. Find i, given that 20*i**5 + 4*i - 25*i**3 + 31*i**c - 82*i**4 - 19*i**2 - 65*i**5 + 4*i**2 = 0.
-1, -2/9, 0, 2/5
Let b(k) = -k + 19. Let n be b(17). Factor -4*v**3 - 35*v - 2*v**4 + 11*v - 22*v**n - 8*v**3 + 12*v.
-2*v*(v + 1)*(v + 2)*(v + 3)
Let a(v) be the first derivative of -4*v**2 + 16/33*v**3 - 102 + 1/22*v**4 + 96/11*v. Factor a(d).
2*(d - 2)**2*(d + 12)/11
Let o = 752 - 1233. Let y be (-8 - -1) + (o/5)/(-13). Solve y*v**3 + 0*v**2 - 2/5*v + 0 = 0 for v.
-1, 0, 1
Let s(x) = -9*x**2 + 656*x + 1257. Let g(m) = -3*m**2 + 218*m + 420. Let z(i) = 13*g(i) - 4*s(i). Factor z(r).
-3*(r - 72)*(r + 2)
Let i be ((-52)/(-5))/((-7917)/(-3045)). Determine v so that 3/7*v - 6/7*v**3 + 0 + 0*v**2 + 3/7*v**5 + 0*v**i = 0.
-1, 0, 1
Suppose 171 = -14*h + 1375. Let k = -83 + h. Suppose -11*t**3 - 12*t**2 - 6*t**3 + 20*t**k - 6 + 15*t = 0. What is t?
1, 2
Suppose 588 + 4107/4*z**2 + 1554*z = 0. Calculate z.
-28/37
Let r be 15 + (68/(-6) - (-77)/231). Suppose 0 = -4*a + 4 + 4. Suppose 16/9*c**3 - 2/9*c**4 + r*c - 14/3*c**a + 0 = 0. What is c?
0, 2, 3
Let l(n) be the third derivative of -n**6/180 + n**5/5 - 35*n**4/12 + 196*n**3/9 - n**2 - 4*n + 427. What is j in l(j) = 0?
4, 7
Let w(j) = 5*j**4 + 89*j**3 - 225*j**2 + 235*j - 72. Let c(r) = -4*r**4 - 88*r**3 + 225*r**2 - 233*r + 72. Let q(a) = -8*c(a) - 7*w(a). Factor q(y).
-3*(y - 24)*(y - 1)**3
Find z such that 0 + 11/2*z**2 - 51*z + 1/2*z**3 = 0.
-17, 0, 6
Let g(d) be the second derivative of d**6/270 - 29*d**5/45 - d**4/36 + 175*d**3/27 - 116*d**2/9 - 5629*d. Factor g(q).
(q - 116)*(q - 1)**2*(q + 2)/9
Solve -149 - 182 - 117 + 2908*k + 26*k**2 = 0 for k.
-112, 2/13
Let w = -181897/20 + 9095. Let p(i) be the second derivative of 1/2*i**4 + 0 + w*i**5 - 11*i + 0*i**2 + 0*i**3. Factor p(k).
3*k**2*(k + 2)
Suppose -48/5*i - 32 + 56/5*i**2 - 4/5*i**4 + 12/5*i**3 = 0. What is i?
-2, 2, 5
Factor 41279/3*r**2 - 49/3*r**3 + 1124 + 23600/3*r.
-(r - 843)*(7*r + 2)**2/3
Let k(y) be the second derivative of -y**5/20 - y**4/3 - 5*y**3/6 - 2*y**2 + 8*y. Let u be k(-3). Factor -g**2 - 5*g + 4*g**u + 22*g + g + 27.
3*(g + 3)**2
Let p be 5*4*(-5)/(-50). Let l(b) = 2*b**2 - 3*b + 2. Let h be l(2). Solve -11*d**2 + p*d**3 - 5*d**2 + 21*d - h*d + 15*d = 0.
0, 4
Suppose 5*c + 3*p - 214 = p, 5*c + 4*p - 218 = 0. Let k be 1/6 + ((-77)/c)/(-1). Factor -15*l + 28*l - 15*l + k*l**3 - 2*l**4 + l**2 + l**2.
-2*l*(l - 1)**2*(l + 1)
Let t(s) = 8*s + 2*s + s**2 - 9*s. Let u(j) = -4*j**2 - 6*j - 2. Let h(a) = -6*t(a) - 2*u(a). Factor h(l).
2*(l + 1)*(l + 2)
Suppose -2*i = i. Suppose -3*k + 136 + 68 = 48*k. Factor 0*d + 0 + 3/4*d**k + i*d**2 + 0*d**3.
3*d**4/4
Determine d, given that -13*d + 295*d**4 + 212*d**4 + 324*d**2 - 11*d - 975*d**3 - 195*d**3 = 0.
0, 2/13, 2
Let k(l) be the first derivative of 5*l**6/6 - 30*l**5 - 830*l**4 - 15920*l**3/3 - 14520*l**2 - 18400*l + 9094. Factor k(d).
5*(d - 46)*(d + 2)**3*(d + 10)
Let l(r) be the first derivative of r**2 + 27*r + 7. Let w be l(-11). Factor p**4 + 182*p**5 - 177*p**5 - 10*p**2 + 9*p**4 - w*p.
5*p*(p - 1)*(p + 1)**3
Let d(u) be the second derivative of -2*u**6/3 - 5*u**5/4 + 25*u**4/6 + 25*u**3/6 - 15*u**2 - 770*u. Solve d(w) = 0 for w.
-2, -1, 3/4, 1
Factor 0 - 20/9*j - 164/9*j**2.
-4*j*(41*j + 5)/9
Factor 13*l**2 - 80*l**2 + 3*l**3 - 495 + 3*l**3 + 375*l - 18*l**2 - l**3.
5*(l - 11)*(l - 3)**2
Factor -46/7*m**2 + 2/7*m**4 - 4 - 6/7*m**3 - 66/7*m.
2*(m - 7)*(m + 1)**2*(m + 2)/7
Let u(t) be the third derivative of -t**6/210 + 7*t**5/6 - 13*t**4/3 + 121*t**3/21 + 2*t**2 - 12*t - 24. Suppose u(h) = 0. What is h?
1/2, 1, 121
Let c(o) = 12*o**2 + 1777*o + 3650. Let s be c(-146). Suppose s + 42/13*k - 2/13*