a**3 - 3*a**3.
3*a*(a - 2)*(a + 30)
Let x(n) = n**3 + 6*n**2 + 6*n - 6. Let t be x(-3). Suppose 2*c - 2*a = 2, 12*c - 16*c + 5*a = -t. Factor -17/5*o**c - 3/5*o**3 - 28/5*o - 12/5.
-(o + 2)*(o + 3)*(3*o + 2)/5
Let s be 286605/92565 + ((-9)/(-11))/(-3). Suppose 0 = y - 2, -15*j - 5*y + 1 = -18*j. Factor -60*m**2 - 250/17*m**4 + 376/17*m + 1050/17*m**j - s.
-2*(m - 3)*(5*m - 2)**3/17
Let j be (-6)/1*(-8)/(-12). Let y be (-2 + -3)*(3 + j). Factor -4*b**3 - 3*b - 6*b**4 + 4*b**2 + 9*b - 2 - 2*b**y + 2 + 2.
-2*(b - 1)*(b + 1)**4
Let p(t) be the second derivative of -t**6/50 - 6*t**5/25 - 3*t**4/10 + 4*t**3 - 15*t**2/2 + 544*t + 2. Find i such that p(i) = 0.
-5, 1
Let d be (132/8 + -12)*344/(-258) + (-27)/(-4). Factor 87/4*n**2 + 105/4*n - 33/4*n**3 - 225/2 + d*n**4.
3*(n - 5)**2*(n - 3)*(n + 2)/4
Let a(j) be the third derivative of j**6/360 + 491*j**5/180 + 979*j**4/72 + 163*j**3/6 + 5805*j**2. What is i in a(i) = 0?
-489, -1
Suppose -358/17*m - 2/17*m**3 + 546/17*m**2 - 6/17*m**4 - 180/17 = 0. Calculate m.
-10, -1/3, 1, 9
Let g(q) = -2512 + 18*q + q**2 + 10*q**2 + 53*q + 35*q. Let h(v) = -2*v**2 - v + 2. Let b(j) = -g(j) - 6*h(j). Factor b(s).
(s - 50)**2
Let f(o) be the second derivative of o**6/150 + o**5/50 - 2*o**4/5 + 5050*o. Factor f(z).
z**2*(z - 4)*(z + 6)/5
Suppose 0 = -0*j - j + 542 - 540. Let a(p) be the second derivative of -2*p**2 + 0 + 7/9*p**3 + 1/6*p**4 + j*p. Find n, given that a(n) = 0.
-3, 2/3
Solve -33 - r**5 - 178032*r + 474 - 398*r**3 - 482*r**2 + 178431*r + 41*r**4 = 0.
-1, 1, 21
Suppose 25*r - 9*h - 18 = 28*r, 0 = -4*r - 3*h + 12. Factor 1/2*q**3 + 8 + 0*q**2 - r*q.
(q - 2)**2*(q + 4)/2
Suppose 101*o - 5*w - 7 = 98*o, -3*o = 2*w - 14. Let r be 90/63 - (-1)/7*o. What is s in 0*s**r + 0 - 1/2*s**3 + 1/2*s = 0?
-1, 0, 1
Let u(j) = 55*j**2 - 825*j - 5725. Let i(p) = 5*p**2 - 75*p - 520. Let l(a) = -45*i(a) + 4*u(a). Factor l(z).
-5*(z - 20)*(z + 5)
Let o(x) be the first derivative of -x**4/12 + 40*x**3/3 - 800*x**2 + 98*x + 133. Let h(y) be the first derivative of o(y). Factor h(p).
-(p - 40)**2
Let o(m) be the third derivative of 0*m**4 + 1/25*m**5 + 65*m**2 + 0*m - 2 - 1/150*m**6 + 0*m**3. Solve o(r) = 0.
0, 3
Let t(h) be the second derivative of 8*h**3 - 143*h**2 + 140*h. Let l(g) = -g**2 - 96*g + 571. Let b(q) = -2*l(q) - 5*t(q). Determine j, given that b(j) = 0.
12
Let 76*y**4 + 37*y - 906*y - 552 + 7132*y**2 + 32*y**4 + 2796*y**3 - 167*y = 0. What is y?
-23, -3, -2/9, 1/3
Let y = -159743 + 1122495/7. Let x = -610 + y. Factor -x*u + 7*u**3 - 3*u**2 - 4/7.
(u - 1)*(7*u + 2)**2/7
Let c(g) be the third derivative of g**8/1848 + 8*g**7/1155 + g**6/660 - 23*g**5/165 - 5*g**4/33 + 56*g**3/33 - 2924*g**2. Solve c(m) = 0 for m.
-7, -2, 1, 2
Suppose -8*y + 2*y + 30 = 0. Suppose 16 = w + 2*w - 4*q, 3 = 2*w + y*q. Factor 5 + w*z**2 - 12*z + 4*z - 1.
4*(z - 1)**2
Let f(h) be the first derivative of -44 + 0*h**5 + 0*h**3 + 1/24*h**6 + 0*h - 33/2*h**2 - 5/24*h**4. Let x(z) be the second derivative of f(z). Factor x(p).
5*p*(p - 1)*(p + 1)
Let j(p) be the first derivative of 1/20*p**5 + 15/4*p**2 - 15/8*p**4 + 56/3*p**3 - 225/4*p + 135. Factor j(a).
(a - 15)**2*(a - 1)*(a + 1)/4
Let t(p) be the first derivative of p**6 - 788*p**5/15 + 145*p**4/3 + 320*p**3/3 - 299*p**2/3 - 172*p/3 + 2304. Determine o so that t(o) = 0.
-1, -2/9, 1, 43
Let m(u) be the third derivative of -u**9/20160 - 13*u**8/10080 + u**7/560 + 7*u**5/60 + 85*u**2. Let l(p) be the third derivative of m(p). Factor l(h).
-h*(h + 9)*(3*h - 1)
Let m(d) be the second derivative of 3*d**5/100 + 59*d**4/5 - 95*d**3/2 + 357*d**2/5 - 14*d - 63. Factor m(w).
3*(w - 1)**2*(w + 238)/5
Suppose 8*h + 14*h - 84 = -20*h. Find u, given that -5/2*u**h - 7/2*u - 1/2*u**3 - 3/2 = 0.
-3, -1
Let r(y) = -y**2 - 13*y + 39. Let n be r(-15). Suppose 0*h - n*h = -423. Solve -16*x**2 - 8*x**2 + 64 + 9*x**2 - h*x - x - x**3 = 0 for x.
-8, 1
Let u = -200648 - -200651. Factor 0*q**2 + 0*q + 3/2*q**5 + 3/2*q**u + 0 - 3*q**4.
3*q**3*(q - 1)**2/2
Let o(a) be the first derivative of 7/22*a**4 + 2 - 76/11*a**3 - 60/11*a + 137/11*a**2. Let o(d) = 0. What is d?
2/7, 1, 15
Let j(c) be the first derivative of -c**6/72 + c**5/4 + 35*c**4/24 + 6*c**3 - 149. Let q(g) be the third derivative of j(g). Determine t so that q(t) = 0.
-1, 7
Suppose 2*l - 25 = -3*h - 3, 5*h + 3*l = 36. Factor 70*s**2 + 2*s**3 - 33*s**2 - 43*s**2 - 2*s + h.
2*(s - 3)*(s - 1)*(s + 1)
Let j(c) = -c**5 + c**4 - 17*c**3 - 13*c**2 + 24*c + 18. Let g(k) = 5*k**5 - 3*k**4 + 70*k**3 + 53*k**2 - 96*k - 71. Let r(w) = -2*g(w) - 9*j(w). Factor r(t).
-(t - 2)**2*(t + 1)**2*(t + 5)
Suppose -3*g + a + 305 = 0, 4*g - 172 - 228 = -2*a. Suppose g - 105 = -i. Factor -14/19*w - 10/19*w**3 + 2/19*w**i + 4/19 + 18/19*w**2.
2*(w - 2)*(w - 1)**3/19
Let p = 1269 + -1269. Suppose 0 = 2*h - p*h + 4*l + 8, -8 = 5*h + 4*l. Find z, given that h*z**3 - 2/21*z**4 - 8/21 + 0*z + 10/21*z**2 = 0.
-2, -1, 1, 2
Let z(r) = 35*r**4 - 145*r**3 + 255*r**2 + 655*r - 1295. Let f(m) = 9*m**4 - 36*m**3 + 64*m**2 + 164*m - 324. Let s(q) = -15*f(q) + 4*z(q). Factor s(c).
5*(c - 4)**2*(c - 2)*(c + 2)
Let i(q) be the second derivative of -q**4/54 + 61*q**3/9 + 940*q**2/9 - 9107*q. Factor i(a).
-2*(a - 188)*(a + 5)/9
Suppose s + b = -0*s + 12, 32 = 3*s + b. Let l be 62/(-14) - 2/((-4)/s). What is t in 0 - l*t**3 - 4/7*t**4 + 4/7*t**2 + 4/7*t = 0?
-1, 0, 1
Let o(q) be the second derivative of 5*q**4/12 + 20*q**3 + 115*q**2/2 + 385*q. Factor o(x).
5*(x + 1)*(x + 23)
Let o be (12/15)/(4/90). Suppose -2*b = -2*h, -b + 5*h = 2*b + 6. Factor o*r**4 + r**2 - 3*r**b - 7*r**2 - 12*r**4 - 3*r**4.
3*r**2*(r - 2)*(r + 1)
Let z be -4 - 630/(-154) - 34600/(-66). Let n = -523 + z. Solve -4*f - 4/3*f**2 + 8/3*f**4 + 4*f**3 - n = 0 for f.
-1, -1/2, 1
Suppose -5*t - 2*n = -4*n - 38, 3*t + 2 = -5*n. Let s(o) = 3*o**2 + 118*o - 173. Let x(d) = d**2 + 61*d - 86. Let j(p) = t*s(p) - 13*x(p). Factor j(g).
5*(g - 16)*(g - 1)
Let b(z) be the second derivative of z**6/80 + 29*z**5/20 + 56*z**4 + 392*z**3 + 90*z**2 - 263*z. Let k(g) be the first derivative of b(g). Factor k(r).
3*(r + 2)*(r + 28)**2/2
Suppose -4/3*p**3 - 7712*p**2 - 28666923008/3 - 14868736*p = 0. Calculate p.
-1928
Let g(a) be the first derivative of a**6/2 - 28*a**5 + 209*a**4 - 1456*a**3/3 + 320*a**2 - 9420. What is h in g(h) = 0?
0, 2/3, 2, 4, 40
Let m(j) be the second derivative of -j**7/42 + j**6/5 + j**5/2 - 5*j**4 - 3*j**3/2 + 27*j**2 - 117*j - 11. Let m(u) = 0. Calculate u.
-3, -1, 1, 3, 6
Suppose 0 = 11*y + y - 24. Let p be 9*(-8 + -2)*y/(-6). Factor -15*b - 13*b + 5*b + 4 + p*b**2 + 9*b**3.
(b + 4)*(3*b - 1)**2
Let b be 181/(-5430)*24*35/(-6). Determine g so that b - 4*g - 2/3*g**2 = 0.
-7, 1
Find i such that -512*i**2 + 52*i + 248 + 537*i**2 - 230*i + i**3 = 0.
-31, 2, 4
Let w = 522377 - 2611877/5. Factor -2/15*c**2 + w*c + 56/15.
-2*(c - 14)*(c + 2)/15
Let d(r) be the first derivative of r**5/10 - 31*r**4/4 + 293*r**3/6 - 115*r**2 + 114*r + 1488. Determine i so that d(i) = 0.
1, 2, 57
Suppose 2*b + 42*r = 41*r - 4, -72 = -4*b + 6*r. Factor 208/5*j**b + 256/5*j + 0 + 4/5*j**5 + 48/5*j**4 + 384/5*j**2.
4*j*(j + 2)**2*(j + 4)**2/5
Let v(g) be the second derivative of -5/2*g**3 - 36*g**2 + 0 + 140*g + 1/4*g**4. Factor v(y).
3*(y - 8)*(y + 3)
Let t(d) be the third derivative of -7*d**5/390 + d**4/13 + 4*d**3/39 + 493*d**2. Solve t(l) = 0 for l.
-2/7, 2
Let 410/7*t - 152/7*t**4 + 92/7 - 4020/7*t**2 + 3670/7*t**3 = 0. What is t?
-2/19, 1/4, 1, 23
Find j, given that 72/7*j**2 + 114/7*j**3 + 2/7*j**5 - 216/7*j + 0 + 4*j**4 = 0.
-6, -3, 0, 1
Let z be (2/(-1))/(12 + (-190)/15). Let -28*a**2 + 24*a**2 - 7 + a**3 + 25 - 3*a - 2*a**3 + 2*a**z = 0. What is a?
-2, 3
Let f = -121454/15 - -24298/3. Suppose 0 + 2/5*s**5 + 8/5*s**2 + 8/5*s**4 + f*s**3 + 2/5*s = 0. Calculate s.
-1, 0
Let h(s) be the third derivative of 0 + 80*s**2 + 0*s**3 - 19/36*s**6 + 79/180*s**5 - 1/9*s**4 + 0*s - 5/126*s**7. Factor h(c).
-c*(c + 8)*(5*c - 1)**2/3
Factor 2/3*w**3 + 272/3*w**2 - 1112/3*w + 1120/3.
2*(w - 2)**2*(w + 140)/3
Let z(b) be the third derivative of -b**5/30 - 19*b**4/4 - 602*b**3/3 - 22*b**2 + 25. Factor z(f).
-2*(f + 14)*(f + 43)
Let x(j) be the first derivative of 1/1080*j**6 - 2/3*j**3 + 5/72*j**4 + 1/60*j**5 + 34 + 0*j**2 + 0*j. Let l(g) be the third 