 -814/3*j - 1636/3 + 2/3*j**2.
2*(j - 409)*(j + 2)/3
Suppose 527 + z**2 - 919 + 524 - 34*z + 102*z = 0. What is z?
-66, -2
Factor -21*k**2 + 573 - 1149 + 299*k**2 + 582 - 373*k - 463*k.
2*(k - 3)*(139*k - 1)
Suppose -34*d = -41*d + 21. Find y such that -3*y**2 - y**2 - 26*y**3 - 9*y - 3*y**4 + 35*y**d + 7*y**2 = 0.
-1, 0, 1, 3
Let u(g) be the first derivative of -34 - 9/2*g**2 + 12*g**3 - 6*g + 15*g**4. Factor u(r).
3*(2*r + 1)**2*(5*r - 2)
Let d(n) be the second derivative of -n**7/21 + 31*n**6/15 + 144*n**5/5 + 452*n**4/3 + 1232*n**3/3 + 624*n**2 - 2172*n. Solve d(q) = 0 for q.
-2, 39
Suppose -44*o + 11742 = -1458. Suppose -o = 8*h - 316. Factor -2/9*b**h + 10/9 + 8/9*b.
-2*(b - 5)*(b + 1)/9
Let r(c) be the first derivative of -c**7/210 - 7*c**6/45 - 2*c**5 - 12*c**4 + 2*c**3/3 + 3*c**2/2 + 243. Let k(q) be the third derivative of r(q). Factor k(l).
-4*(l + 2)*(l + 6)**2
Factor -180*z - 294*z + 149386 + 7430 - 70*z + z**2 - 248*z.
(z - 396)**2
Let f be ((-84)/49 - (-85)/119)*-3. Find a such that 0*a - 2/9*a**2 - 2/9*a**4 + 0 - 4/9*a**f = 0.
-1, 0
Factor 703921/2 + 1/2*l**2 - 839*l.
(l - 839)**2/2
Let i(o) be the third derivative of -o**10/70560 - o**9/17640 - 55*o**4/24 - o**2 - 2*o. Let g(s) be the second derivative of i(s). Factor g(c).
-3*c**4*(c + 2)/7
Let m(g) = g**2 - 6*g - 247. Let v be m(19). Let h be -6 + (6 - v) + 0. Suppose 0*x**2 + h*x - 1/2*x**5 - 1/2*x**4 + 0 + x**3 = 0. What is x?
-2, 0, 1
Let q(h) be the second derivative of 0*h**2 - 2 - 17/4*h**5 - 31*h + 35/6*h**4 + 3/4*h**6 + 10/3*h**3. Find p such that q(p) = 0.
-2/9, 0, 2
Suppose -6*b + 1605 = -1323. Factor -h**2 + b*h - 967*h + 497*h.
-h*(h - 18)
Let g(m) = -20*m**2 - 41*m - 19. Let b(u) = 11*u**2 - 1. Let d(j) = 6*b(j) + 3*g(j). Factor d(v).
3*(v - 21)*(2*v + 1)
Let n(a) be the first derivative of 17*a**4/7 + 3188*a**3/21 - 260*a**2 + 384*a/7 - 3539. Suppose n(p) = 0. What is p?
-48, 2/17, 1
Let m(z) be the third derivative of -12 + 0*z - 2048/9*z**3 - 1/360*z**6 - 32/3*z**4 - 4/15*z**5 - 2*z**2. Factor m(q).
-(q + 16)**3/3
Let j = -5 - -14. Suppose -2*z + 21 = c, -2*z - 2*z = 4*c - 52. Factor 20*w + 5*w - j*w - z*w**2 + w**3.
w*(w - 4)**2
Let o(r) be the first derivative of -r**6/6 - 58*r**5/5 - 237*r**4 - 1026*r**3 - 2187*r**2/2 - 1071. Let o(q) = 0. What is q?
-27, -3, -1, 0
Let c(j) be the second derivative of -j**5/20 - 4*j**4 - j**3/6 - 45*j**2/2 - 66*j. Let r be c(-48). Find m such that 0*m - 1/4*m**r + 1/2*m**2 + 0 = 0.
0, 2
Let u(n) be the third derivative of n**6/90 - 643*n**5/9 + 2585663*n**4/18 - 5164898*n**3/9 - 92*n**2 + 20. Find r such that u(r) = 0.
1, 1607
Let k be 498/24 + 0 - (-2)/8. What is w in -k*w**3 - 3*w**4 + 30*w**3 + 0*w**4 = 0?
0, 3
Let b(t) be the third derivative of -2*t**7/735 - 2*t**6/105 + 19*t**5/105 + 23*t**4/21 - 80*t**3/7 - 4847*t**2. Let b(k) = 0. What is k?
-5, -4, 2, 3
Let x(y) be the first derivative of -7/120*y**6 - 2/15*y**3 + 1 + 0*y + 1/6*y**4 - 11/300*y**5 + 6*y**2. Let m(k) be the second derivative of x(k). Factor m(s).
-(s + 1)*(5*s - 2)*(7*s - 2)/5
Let j = 22 - 28. Let u = 8 + j. Factor 4*y**u + 4*y**2 - 3*y**2.
5*y**2
Let m(d) = -4*d**2 - 2649*d + 15. Let y(v) = -28*v**2 - 18544*v + 108. Let j(x) = -36*m(x) + 5*y(x). Factor j(i).
4*i*(i + 661)
Let a(r) be the second derivative of -r**6/24 - r**5/4 + 5*r**4/4 + 20*r**3/3 + 64*r**2 - 11*r + 2. Let i(z) be the first derivative of a(z). Solve i(s) = 0.
-4, -1, 2
Let x be (2 + (-28 - -11))/((-6)/4). Let a(n) = -2*n**3 - 3*n**2 - 3. Let s be a(-3). What is c in -124 + s + 4*c**3 + x*c - 44*c**2 + 130*c = 0?
1, 5
Suppose 52 = 3*y - 5*j - 169, 0 = 5*y - 3*j - 347. Suppose 0 = 2*o - 5*k - 62 + y, o - k + 1 = 0. Factor -1/2*p**3 + o + p**2 - 1/2*p.
-p*(p - 1)**2/2
Factor -324 + 6*k**3 + 1/4*k**4 - 54*k + 135/4*k**2.
(k - 3)*(k + 3)*(k + 12)**2/4
Let h(o) be the second derivative of 0 + 9*o**2 - 58*o + 6*o**3 + 5/6*o**4. Factor h(y).
2*(y + 3)*(5*y + 3)
Solve -2/5*h**4 + 236/5*h + 42/5*h**2 + 176/5 - 4*h**3 = 0.
-11, -2, -1, 4
Let d(v) be the second derivative of -v**4/66 + 43*v**3/11 + 262*v**2/11 + 477*v + 1. Determine m, given that d(m) = 0.
-2, 131
Suppose -3*m + 3862*b - 3867*b = 16, 4*m = -4*b - 8. Factor 1/3*y**5 + 2/3*y**m - y + 4/3*y**4 + 0 - 4/3*y**2.
y*(y - 1)*(y + 1)**2*(y + 3)/3
Let a be (1 + -2)*(-8 + (-9 - -15)). Let m(v) be the first derivative of 2*v + 2/3*v**3 + 16 + 5/2*v**a. Factor m(z).
(z + 2)*(2*z + 1)
Suppose 0*s - 80 = -16*s. Factor -49*i**5 + 4*i - 12*i**2 + 93*i**5 - 6*i**4 + 13*i**3 + 0*i**2 - 43*i**s.
i*(i - 2)**2*(i - 1)**2
Let m(b) be the first derivative of -13*b**3/3 - 165*b**2/2 + 52*b - 3885. Factor m(n).
-(n + 13)*(13*n - 4)
Let x(n) = 8*n**2 - 440*n + 1304. Let o(r) = 9*r**2 - 438*r + 1303. Let l(t) = -4*o(t) + 5*x(t). Suppose l(a) = 0. What is a?
3, 109
Let d be 10/(-6)*(0 + -3). Let r(j) = j**2 - 36*j + 183. Let w be r(6). Factor 4*z**w - 6*z**5 + 3*z**4 - z**4 + 10*z**d - 10*z**4.
4*z**3*(z - 1)**2
Let r(c) be the third derivative of 2/3*c**3 + 4/75*c**6 + 0*c - 2/75*c**5 - 2/175*c**7 + 3*c**2 - 4/15*c**4 - 28. Solve r(q) = 0.
-1, 1, 5/3
Let j(u) be the third derivative of -9*u**7/280 - 141*u**6/80 - 95*u**5/4 + 625*u**4/4 + 6*u**2 + 3*u + 5. Factor j(i).
-3*i*(i - 2)*(3*i + 50)**2/4
Let p(x) = -208*x - 3 - x**2 + 208*x + 3. Let d(n) = -2*n**2 - n. Let i be (-28)/6 - (-3)/(-9). Let a(b) = i*p(b) + 2*d(b). Factor a(v).
v*(v - 2)
Suppose 0 = 73*a - 126*a. Let p(w) be the third derivative of 250/3*w**3 + 25/6*w**4 + 34*w**2 + 0 + 1/12*w**5 + a*w. Factor p(b).
5*(b + 10)**2
Suppose -10*j + 6 = -4*j. Let c be 986/261 - (2/(-9))/j. Factor -18*n**3 + 1016 - 1025 - 6*n**4 + 3*n**c - 30*n - 36*n**2.
-3*(n + 1)**3*(n + 3)
Let c(n) = -n**3 + 11*n**2 - 8*n + 10. Let k(x) = 3*x - 13. Let v be k(3). Let r(w) = w**2 + 2. Let d(y) = v*c(y) + 20*r(y). Factor d(i).
4*i*(i - 4)*(i - 2)
Suppose 579*j - 81*j = -728*j - 483*j + 5127. Determine o, given that 9/5 - j*o + 3/5*o**2 + 3/5*o**3 = 0.
-3, 1
Suppose -611 + 1716 = 221*s. Let q(t) be the first derivative of -49 - 3/4*t**4 + 3*t + 7/2*t**2 - 2/5*t**s + t**3. Factor q(v).
-(v + 1)**3*(2*v - 3)
Let u = -540736 - -540738. Solve -4/7*l - 6/7*l**u - 2/7*l**3 + 0 = 0 for l.
-2, -1, 0
Let g(v) be the third derivative of 0*v**3 + 2*v + 0 - 1/156*v**4 - 25*v**2 - 1/65*v**5. Factor g(l).
-2*l*(6*l + 1)/13
Let w(r) be the third derivative of r**5/12 + 515*r**4/2 + 318270*r**3 + 5753*r**2. Factor w(j).
5*(j + 618)**2
Suppose -2*t - 3 = -4*m + 5, 7 = 3*m - t. Let a be 2 - (4 - m - 2). Factor a*l**3 - 3*l**3 - 3*l**2 + 3*l**3 - 4*l**3 - 2*l.
-l*(l + 1)*(l + 2)
Let y = -139662 - -139664. Solve 0 - 1/8*m**3 + 21/8*m + 5/2*m**y = 0.
-1, 0, 21
Let j(p) = -p**3 + 7*p**2 - 11*p + 9. Let y be (-8)/10 - 203/(-35). Let h be j(y). Factor -2*t**4 + 2*t**2 + 3*t**4 - 4 - 6*t**3 + 6*t + 5*t**4 - h*t**4.
2*(t - 2)*(t - 1)**2*(t + 1)
Let a(z) be the third derivative of z**8/1848 - 2*z**7/1155 - 37*z**6/660 + 37*z**5/165 + 3*z**4/11 - 24*z**3/11 + 1268*z**2. Find r such that a(r) = 0.
-6, -1, 1, 2, 6
Factor 72 + 51*m**2 - 53*m - 9*m**2 - 59*m - 2*m**3.
-2*(m - 18)*(m - 2)*(m - 1)
Let t be 231/35 - (-2)/5. Let r(k) = -6*k + k + 6 + 3*k - t*k**2 - 4*k**3. Let o(y) = y**3 + 2*y**2 + y - 2. Let a(j) = 14*o(j) + 4*r(j). Factor a(m).
-2*(m - 1)**2*(m + 2)
Let u(r) = 80*r**3 + 234*r**2 + 234*r + 54. Let z = 170 + -222. Let p(k) = 9*k**3 + 26*k**2 + 26*k + 6. Let o(q) = z*p(q) + 6*u(q). Factor o(y).
4*(y + 1)*(y + 3)*(3*y + 1)
Let 2832/5*m - 183/5*m**4 + 1167/5*m**3 - 132 - 585*m**2 + 9/5*m**5 = 0. What is m?
1/3, 2, 5, 11
Let n(q) be the third derivative of q**5/150 + 7*q**4/4 + 198*q**3/5 - 2*q**2 + 2*q - 5. Factor n(r).
2*(r + 6)*(r + 99)/5
Let p be 845 + ((-442)/26 - -36). Let o(r) be the first derivative of 43 + 62208*r + p*r**3 + 3/5*r**5 + 10368*r**2 + 36*r**4. Find k such that o(k) = 0.
-12
Let w(g) = 7*g**3 - 38*g**2 + 335*g - 260. Let q(z) = 5*z**3 - 44*z**2 + 334*z - 262. Let p(k) = 4*q(k) - 3*w(k). Determine a so that p(a) = 0.
-67, 1, 4
Let w(l) = -l**3 + 29*l**2 - 57*l + 83. Let m be ((-1)/(-2))/(2/108*1). Let z be w(m). Factor -4/15*g + 2/15*g**4 - 2/15 + 4/15*g**3 + 0*g**z.
2*(g - 1)*(g + 1)**3/15
Let p(n) = 11*n**2 + 1095*n - 27844. Let v be p(21). Factor -o**v - 2/3 - 7/3*o.
-(o + 2)*(3*o + 1)/3
Let s(q) = -151*q**3 + 231*