2, -1
Suppose -s + 25 = -3*y, 2*y + 5 = y. Let v be (48/s)/(39/130). Solve v*h**2 - 16 - 5*h**4 - h**4 - 16 + 4*h**4 = 0 for h.
-2, 2
Let r(i) be the second derivative of 2*i**6/15 + 11*i**5/5 - 286*i. Factor r(w).
4*w**3*(w + 11)
Let y be (-2)/9*1 - 12/(540/(-199)). Factor -3/5*q**3 - y*q + 3*q**2 + 9/5.
-3*(q - 3)*(q - 1)**2/5
Suppose 4 = 14*j - 13*j. Let s(v) be the second derivative of 4/9*v**3 + 0 + v + 1/3*v**j + 1/3*v**2 + 1/45*v**6 + 2/15*v**5. Factor s(p).
2*(p + 1)**4/3
Let i be 0*4/(-8)*-1. Suppose -s + 5 + 1 = i. Factor -d**2 - 9*d + 9*d - s*d**3 + 3*d**4 + 4*d**2.
3*d**2*(d - 1)**2
Let q(n) = n**2 + 578*n - 3500. Let l be q(6). Factor 0 + 2/7*b**l + 2/7*b**3 + 0*b - 4/7*b**2.
2*b**2*(b - 1)*(b + 2)/7
Let m be ((-380)/(-124) - 3) + 2882/8184. Let z(t) be the second derivative of -7*t + 25/3*t**3 + 0 - m*t**4 - 125/2*t**2. Determine y so that z(y) = 0.
5
Let a = 1967 + -6286/3. Let p = a + 129. Factor 0 + 0*r**3 - 4/3*r - 2*r**2 + p*r**4.
2*r*(r - 2)*(r + 1)**2/3
Let u(m) be the second derivative of 5*m**4/16 + 24*m**3 + 57*m**2/2 + 127*m. Factor u(i).
3*(i + 38)*(5*i + 2)/4
Let l(z) be the first derivative of -z**6/9 - 7*z**5/15 + z**4/2 + 31*z**3/9 + 4*z**2/3 - 4*z - 520. Determine q, given that l(q) = 0.
-3, -2, -1, 1/2, 2
Let n(l) be the second derivative of 2*l**6/15 + 3*l**5 + 9*l**4 + 26*l**3/3 - 162*l. Let n(o) = 0. Calculate o.
-13, -1, 0
Suppose 10*a - 6*a - 8 = 0. Let r(t) be the second derivative of 2*t**a + 2/15*t**6 - 2/21*t**7 + 0 - 2/3*t**4 + 2/5*t**5 - 2/3*t**3 + 2*t. Factor r(s).
-4*(s - 1)**3*(s + 1)**2
Suppose -3*r + 8*r + 2*r = 0. Let 0*j - 2/13*j**3 + r + 4/13*j**2 = 0. What is j?
0, 2
Let s(c) be the first derivative of c**3 + 54*c**2 + 972*c + 25. Factor s(a).
3*(a + 18)**2
Let -35*c**2 - 5*c**5 + 63*c**2 - 72*c**3 + 24*c**4 + c**4 + 58*c**2 + 3*c**5 + 9 - 46*c = 0. Calculate c.
1/2, 1, 9
Let l be ((-16)/((-8)/4))/2. Suppose 0 = -l*x - 3 + 19. What is s in 64*s**3 + 4*s**x - 64*s**3 - 8*s**2 + 4 = 0?
-1, 1
Let t(o) = o**3 - 9*o**2 - 9*o - 5. Let c be t(10). Suppose c*q = 4*u - 11, u - 7 = 2*q - 5*q. Factor -5 - 2*h + 6 + h**2 + u*h.
(h + 1)**2
Let r(k) be the third derivative of k**7/1995 + 11*k**6/1140 + 13*k**5/190 + 49*k**4/228 + 20*k**3/57 - 2*k**2 + 80. Let r(x) = 0. What is x?
-5, -4, -1
Let m(a) be the third derivative of -a**8/1344 + a**7/280 + 7*a**6/160 - 47*a**5/240 - 5*a**4/4 + 6*a**3 - 19*a**2 - 2*a. Let m(z) = 0. Calculate z.
-3, 1, 4
Let a(b) = -2*b**2 + 40*b + 46. Let g(m) = -m + 1. Let h(l) = -a(l) + 2*g(l). Factor h(d).
2*(d - 22)*(d + 1)
Let t = 12979 + -12977. What is s in -3/4*s**t - 1/4 - s = 0?
-1, -1/3
Let k(c) be the first derivative of 6 - 4*c + 26*c**2 - 169/3*c**3. Factor k(w).
-(13*w - 2)**2
Let a(w) be the third derivative of 0 + 3/2*w**3 + 1/4*w**4 + 29*w**2 + 1/60*w**5 + 0*w. Solve a(c) = 0.
-3
Let z = -46 - -55. Let s be (4/10)/(z/30). Find c, given that -s*c - 1/3*c**4 - 2*c**2 - 1/3 - 4/3*c**3 = 0.
-1
Let r(d) be the second derivative of 3*d**5 + 5/42*d**7 - 4*d - d**6 + 0*d**2 + 0*d**3 + 0 - 10/3*d**4. What is h in r(h) = 0?
0, 2
Let a = 319/994 - 5/142. Let k = -25 + 176/7. Factor k*z**3 + 0*z + 0 + a*z**2.
z**2*(z + 2)/7
Let f = -20 + 18. Let u be f/(4 - (-186)/(-9))*5. Factor -6/5*q + u*q**4 + 0 + 6/5*q**3 - 3/5*q**2.
3*q*(q - 1)*(q + 1)*(q + 2)/5
Let c = -25 + 28. Suppose 0 = -3*m - 2*z + 1210, -c*m + 814 + 376 = -2*z. Factor 448*t + 217*t**4 - 222*t**4 - 64 + 505*t**4 + m*t**3 - 960*t**2.
4*(t + 2)*(5*t - 2)**3
Let m = -5/357 - -209/357. Factor -m*a**2 + 4/7*a + 4/7 - 4/7*a**3.
-4*(a - 1)*(a + 1)**2/7
Let q = -42 + 45. Factor -43*o - 11*o - 5*o**q - 3*o + 12*o - 30*o**2.
-5*o*(o + 3)**2
Let y(x) = -x**2 - 1. Let n(h) = -10*h**2 + 290*h - 310. Let q(l) = -n(l) + 15*y(l). Factor q(b).
-5*(b - 1)*(b + 59)
Let r(f) be the third derivative of 25*f**8/231 + 5*f**7/77 + f**6/66 + f**5/660 + 6*f**3 + 5*f**2. Let l(b) be the first derivative of r(b). Factor l(n).
2*n*(10*n + 1)**3/11
Suppose 2*i = 2*c + 24, 2*i = 5*c - 12*c - 12. Determine n, given that -4*n + i + 1/2*n**2 = 0.
4
Find o such that 36/17*o - 24/17*o**3 + 4/17*o**2 - 6/17*o**4 + 18/17 + 4/17*o**5 = 0.
-1, 3/2, 3
Suppose -4*x + 13 - 1 = 0. Factor -50*v**2 - 8*v**x + 4*v**3 + 58*v**2.
-4*v**2*(v - 2)
Let r(a) be the first derivative of -1/21*a**4 + 2/21*a**3 + 6*a + 0*a**2 - 1. Let q(m) be the first derivative of r(m). Let q(g) = 0. Calculate g.
0, 1
Let j(p) be the third derivative of -p**6/360 + p**5/30 - p**4/9 + 240*p**2 - p. Determine i, given that j(i) = 0.
0, 2, 4
Factor 118*r + 30*r + 62 - 4*r**2 + 142 + 52*r.
-4*(r - 51)*(r + 1)
Let h = -1/707 - -1419/3535. Let v(j) be the first derivative of 2*j**3 + h*j**5 + 0*j**2 + 1/3*j**6 + 7 - 5/2*j**4 + 0*j. Let v(z) = 0. What is z?
-3, 0, 1
Factor 241*p**2 - 32*p**3 + 2*p**4 - 121*p + 8*p**3 + 0*p**4 - 95*p**3 - 3*p**4.
-p*(p - 1)**2*(p + 121)
Let n(t) = 2*t**3 + 9*t**2 + 4. Let s be n(-4). Factor 14*z + s*z - 24*z - 5*z**2.
-5*z*(z - 2)
Let g(p) be the second derivative of p**5/12 + 5*p**4/18 + 303*p. Factor g(i).
5*i**2*(i + 2)/3
Let o(w) be the third derivative of 3*w**6/4 - 74*w**5/15 + 37*w**4/12 + 2*w**3 + 5*w**2 + 3. Find r, given that o(r) = 0.
-1/9, 2/5, 3
Let j(g) = -12*g**2 + 552*g - 6364. Let l(h) = -4*h**2 + 184*h - 2121. Let r(f) = -5*j(f) + 16*l(f). Factor r(m).
-4*(m - 23)**2
Factor -3*r - 15*r**2 - 859 - 2*r + 879.
-5*(r - 1)*(3*r + 4)
Let b(p) be the second derivative of p**4/96 - 41*p**3/48 + 39*p**2/8 - p + 252. Factor b(f).
(f - 39)*(f - 2)/8
Let t(l) be the first derivative of l**3/9 + 25*l**2/6 + 46*l/3 + 74. Suppose t(r) = 0. Calculate r.
-23, -2
Let z(q) = 7*q - 2*q**4 - 2*q**2 - 3*q**3 - q - 3*q**3 + 7. Let g(f) = 2*f**4 + 6*f**3 + 2*f**2 - 6*f - 8. Let r(o) = 3*g(o) + 4*z(o). Solve r(k) = 0 for k.
-2, -1, 1
Factor 0 + 0*t**2 + 9/5*t**4 + 3/5*t**5 + 0*t - 12/5*t**3.
3*t**3*(t - 1)*(t + 4)/5
Solve 12*x - 223 + 3*x**2 + 440 - 217 = 0 for x.
-4, 0
Let s(b) = -b**3 + 624*b**2 - 18589*b - 39698. Let l(g) = 625*g**2 - 18590*g - 39700. Let w(y) = 4*l(y) - 5*s(y). Determine c, given that w(c) = 0.
-2, 63
Let -4*y**3 - 70*y**2 + 20*y**2 + 16*y**2 + 20*y**2 + 22*y**2 = 0. What is y?
0, 2
Let h be -6*1*(-4)/8. Find o, given that -9*o**2 - 3*o**3 - o - o - 4*o + 0*o**h = 0.
-2, -1, 0
Find w, given that -504/5*w - 2/5*w**2 - 31752/5 = 0.
-126
Let d be -5*(-1)/15*(-7143)/9. Let v = d + 265. Solve 8/9*o**2 - 10/9*o**5 - 10/9*o - v + 20/9*o**3 - 4/9*o**4 = 0 for o.
-1, -2/5, 1
Let r(y) be the first derivative of 3*y**4/16 - 3*y**2/8 + 39. Factor r(c).
3*c*(c - 1)*(c + 1)/4
Suppose 13*l + 40/3 - 1/3*l**2 = 0. What is l?
-1, 40
Let j(o) = -36*o**2 + 66*o. Let u(q) = -7*q**2 + 13*q. Let b = 46 - 25. Let h(g) = b*u(g) - 4*j(g). Factor h(x).
-3*x*(x - 3)
Let d(i) = 15*i**3 + 396*i**2 + 7956*i + 55566. Let z(h) = 7*h**3 + 197*h**2 + 3977*h + 27783. Let c(y) = -4*d(y) + 9*z(y). Factor c(j).
3*(j + 21)**3
Let l(g) be the third derivative of -g**7/315 - g**6/60 + g**5/18 + g**4/12 - 4*g**3/9 + 3*g**2 + g. Suppose l(r) = 0. Calculate r.
-4, -1, 1
Suppose 0 - 4 = -2*t. Suppose 0 = -2*i + 4, -2*i - 2 = t*a - 3*a. Factor 3*z + 2 + a*z - z - 4*z + 2*z**2.
2*(z + 1)**2
Determine f so that 0 - 4/5*f**3 + 64/5*f**2 + 0*f = 0.
0, 16
Let a(m) be the first derivative of 4*m**3 + 16*m + 11 + 1/2*m**4 + 12*m**2. Factor a(t).
2*(t + 2)**3
Let t(a) be the third derivative of a**7/5040 + a**6/360 + a**5/80 + 13*a**4/8 - 47*a**2. Let j(s) be the second derivative of t(s). Solve j(o) = 0.
-3, -1
Let b(y) = -y. Let f(v) = -5*v + 8. Let p(o) = -4*b(o) + f(o). Let a be p(6). Determine c so that -c**2 - c**3 - 2*c**2 + 0*c**a + 2*c + 2*c**3 = 0.
0, 1, 2
Let u be ((-9)/(-6))/(3/(-4)). Let r(m) = -m - 2. Let k be r(u). Factor z**2 + 6*z + 4*z**2 + 4*z**2 + k*z**2 - 3.
3*(z + 1)*(3*z - 1)
Let b(c) = -c**3 + c**2 - c. Let y(r) = -45*r**4 - 138*r**3 - 108*r**2 - 36*r + 6. Let t(n) = 9*b(n) - y(n). Find i such that t(i) = 0.
-1, 2/15
Let h(d) be the third derivative of 11/540*d**5 + 0*d**4 - 1/270*d**7 - 1/360*d**6 + 0*d - 2/27*d**3 + 1/1008*d**8 + 0 + 15*d**2. Find j such that h(j) = 0.
-1, -2/3, 1, 2
Factor -800/11 - 720/11*u - 2/11*u**3 + 78/11*u**2.
-2*(u - 20)**2*(u + 1)/11
Let p(q) be the third derivative of 0*q + 0 - 5/16*q**4 + 3/4*q**3 - 1/240*q**6 - 7*q**2 + 7/120*q**5. Find x