*2 + 14/9*t + 0 = 0. What is t?
-7, -1, 0, 2
Let r = -15996 - -15996. Let q(b) be the first derivative of 0*b + r*b**4 + 2 - 1/27*b**6 - 2/45*b**5 + 0*b**3 + 0*b**2. Factor q(x).
-2*x**4*(x + 1)/9
Determine z so that -4/13*z**4 + 4/13*z**2 + 0 + 2/13*z**5 + 0*z - 2/13*z**3 = 0.
-1, 0, 1, 2
Let h = -863 + 868. Let k(m) be the second derivative of 0 + 1/150*m**h + 2*m - 1/225*m**6 + 1/90*m**4 + 0*m**2 - 1/45*m**3. Factor k(d).
-2*d*(d - 1)**2*(d + 1)/15
Let v(q) be the second derivative of q**2 + 0 - 1/90*q**5 - 52*q - 5/54*q**4 - 1/9*q**3. Factor v(a).
-2*(a - 1)*(a + 3)**2/9
Let u = 1627/7362 + 1/818. Let h(w) be the first derivative of 2/3*w + 0*w**2 + 12 - u*w**3. Factor h(i).
-2*(i - 1)*(i + 1)/3
Let x be (-2)/9 - 2166/(-513). Let m = 439 - 437. Factor -2/3 + x*h - 35/6*h**m.
-(5*h - 2)*(7*h - 2)/6
Find u, given that 66*u**2 + 266*u - 2*u**3 + 27*u**2 - 46 - 47*u**2 - 264*u = 0.
-1, 1, 23
Let r(q) be the first derivative of 3*q**5/100 + 13*q**4/10 + 49*q**3/10 + 36*q**2/5 + 119*q + 15. Let g(c) be the first derivative of r(c). Factor g(s).
3*(s + 1)**2*(s + 24)/5
Let m be 3/14 + (-164)/3444 - 1/(-3). Factor -m*g**2 + 1/4 - 1/2*g**3 + 1/4*g**4 + 1/4*g + 1/4*g**5.
(g - 1)**2*(g + 1)**3/4
Let n = 21/86 + 583/430. Factor 0*r + 1/10*r**4 + n - 4/5*r**2 + 0*r**3.
(r - 2)**2*(r + 2)**2/10
Find u such that 1638400/9 - 271360/3*u - 284*u**2 - 2/9*u**3 = 0.
-640, 2
Let 56/5*c + 14/5*c**2 + 64/5 + 1/5*c**3 = 0. Calculate c.
-8, -4, -2
Factor -268/5*j - 3776/5 - 2/5*j**2.
-2*(j + 16)*(j + 118)/5
Find c such that -252 + 471/2*c - 15/2*c**3 + 24*c**2 = 0.
-24/5, 1, 7
Let m = -287449/3 + 95887. Suppose 88/3 - 20/3*j**2 - m*j = 0. What is j?
-11, 2/5
Let n(a) = -a**3 + 15*a**2 + 18*a + 3. Let r be n(16). Find g, given that 49*g**2 - 4012*g + 4042*g - r*g**3 - 144*g**2 = 0.
-3, 0, 2/7
Suppose -5 = 69*j - 74*j. Let o be (j - 1*26)/((-4)/6). Determine t, given that 45/2*t**2 - 15/2*t**5 + 55/2*t**4 + 0 - 5*t - o*t**3 = 0.
0, 2/3, 1
Let f = -336643 + 3029813/9. Determine t, given that -8/9*t**3 + 0 - 2/3*t - f*t**2 = 0.
-3, -1/4, 0
Let m(i) be the second derivative of 0*i**3 - 1/20*i**5 + 34*i - 5/2*i**2 + 0 + 1/8*i**4. Let t(b) be the first derivative of m(b). Solve t(r) = 0.
0, 1
Let r(l) be the third derivative of -16*l**6/225 - 328*l**5/25 - 5043*l**4/5 - 206763*l**3/5 - 373*l**2. Solve r(w) = 0.
-123/4
Suppose 550 = 20*m + 2*m. Suppose -23*k - m = -28*k. Suppose 2/5*x**3 + 0 + 2/5*x**2 + 0*x + 6/5*x**k - 2*x**4 = 0. What is x?
-1/3, 0, 1
Let h(b) be the second derivative of b**6/6 + 3*b**5/4 + 5*b**4/12 - 5*b**3/2 - 5*b**2 + 2*b - 2332. Solve h(p) = 0.
-2, -1, 1
Suppose -23/5*y**2 + 1/5*y**3 + 15 - 53/5*y = 0. What is y?
-3, 1, 25
Let v(c) = 4*c**5 - 72*c**4 - 248*c**3 - 188*c**2. Let a(y) = 2*y**5 - 3*y**4 + y**2. Let s(l) = 4*a(l) - v(l). Let s(d) = 0. What is d?
-8, -6, -1, 0
Let l be (24/56)/(-4 - (-230)/56). Let i(j) be the first derivative of 2*j**l - 4*j**2 + 0*j + 20/3*j**3 - 35 - 4*j**5. What is b in i(b) = 0?
-1, 0, 2/5, 1
Factor 4*i**3 + 1/2*i**5 - 2*i**2 + 0 + 0*i - 5/2*i**4.
i**2*(i - 2)**2*(i - 1)/2
Let n(v) = 20*v**2 - 140*v + 125. Let s(d) = -32 + 35*d - 400*d**2 + 199*d**2 + 196*d**2. Let x(l) = -6*n(l) - 25*s(l). Factor x(k).
5*(k - 5)*(k - 2)
Let a(u) = -3*u**3 + 256*u**2 - 78*u - 592. Let d be a(85). Factor -5/4*s**d + 0 - 20*s - 25/2*s**2.
-5*s*(s + 2)*(s + 8)/4
Let d = -209 + 245. What is y in -4*y**4 - 34*y + 16*y**3 - 8*y + 8*y**2 - 6*y - d = 0?
-1, 3
Let z be -1 - ((-8580)/363)/20. Factor 0*f + 0 + 4/11*f**2 + z*f**3.
2*f**2*(f + 2)/11
Let b be (2 + 5)/28*(2632 - 1). Let k = b + -656. Factor 5/4*t**3 - 9/4*t**2 - 1/2 - 1/4*t**4 + k*t.
-(t - 2)*(t - 1)**3/4
Let s(p) be the third derivative of p**5/180 - 5*p**4/16 + 41*p**3/18 - p**2 - 374*p. Find n such that s(n) = 0.
2, 41/2
Suppose 2*w = 73 + 39. Determine s so that -27*s**2 + 60*s**2 - 28*s**3 + w*s + 56*s - 25*s**2 - 32 = 0.
-2, 2/7, 2
Let t(n) be the third derivative of -n**6/40 - 9*n**5/10 - 65*n**4/8 + 87*n**2 - 6*n. Factor t(f).
-3*f*(f + 5)*(f + 13)
Let p(s) = -2*s**2 + 7*s. Let f(x) = -2*x**2 + 5*x. Let w be (-8)/36 - (-114)/27. Let z(o) = w*f(o) - 3*p(o). Factor z(r).
-r*(2*r + 1)
Let u(a) = 9*a**2 + 39*a + 30. Let g be u(-7). Let w = 198 - g. Find h, given that w*h**2 + 0 + 0*h - 2/5*h**3 = 0.
0
Factor 342 + 291*l + 50*l + 7*l**2 - 6*l**2 - 2*l**2.
-(l - 342)*(l + 1)
Let w = 978 - 886. Factor -100*j + 14*j**2 + w - 65*j**2 - 88.
-(j + 2)*(51*j - 2)
Find y, given that 916 - 435 - 6985*y**2 + 5*y**3 - 481 = 0.
0, 1397
Let y(n) be the second derivative of -n**4/30 - 7*n**3/5 + 72*n**2/5 - 4728*n. Find c, given that y(c) = 0.
-24, 3
Let n(p) = p**2 - 132*p - 541. Let w be n(136). Let b(y) be the first derivative of 22 - 1/3*y**w + 7/2*y**2 - 6*y. Factor b(k).
-(k - 6)*(k - 1)
Suppose 309 = 4*r - r. Suppose 0 = 9*l - r + 13. Let -l + 18 + b**3 + 19 + 9*b**2 + 27*b = 0. What is b?
-3
Let r(k) be the first derivative of -k**6/24 - 43*k**5/10 - 2343*k**4/16 - 2745*k**3/2 + 24975*k**2/2 - 20250*k - 370. Suppose r(x) = 0. What is x?
-30, 1, 3
Let r(v) be the first derivative of 15/4*v**2 + 9*v - 66 + 1/2*v**3. Let r(n) = 0. Calculate n.
-3, -2
Let x(q) be the second derivative of -7*q**5/10 - 54*q**4 + 79*q**3 + 94*q**2 - 2*q + 1297. Factor x(f).
-2*(f - 1)*(f + 47)*(7*f + 2)
Suppose -29*k + 2 = -28*k. Factor 4*w**4 + 736*w - 376*w - 368*w - 10*w**k - 2*w**2.
4*w*(w - 2)*(w + 1)**2
Let h(j) be the third derivative of -j**5/60 + 853*j**4/36 + 569*j**3/18 + 47*j**2 + 11. Determine s, given that h(s) = 0.
-1/3, 569
Suppose -84 = -9*m + 411. Suppose 0 = -4*d + 9*d - m. Factor d*g**2 - 5*g + 18*g**2 - 9*g**2.
5*g*(4*g - 1)
Factor 24/7 + 402/7*x + 99/7*x**2.
3*(x + 4)*(33*x + 2)/7
Factor -6/5*a - 2/5*a**3 + 0 - 8/5*a**2.
-2*a*(a + 1)*(a + 3)/5
Let s(p) = 13*p + 354. Let i be s(-27). Suppose -5*l = 5*h, -8*l = i*h - 9*l. Solve h - 2/9*k**2 - 4/9*k = 0.
-2, 0
Suppose -2*m - 2*h = m - 28, 0 = -m + 5*h - 19. Suppose 2*f + 4*n + 8 = 4*f, 5*f = 3*n + m. Find z, given that f*z + 3/7*z**2 - 4/7 + 1/7*z**3 = 0.
-2, 1
Let f be 2/10 - (-36)/20. Suppose 0 = -f*j + 4. Suppose -13*o**2 + 14*o**2 + 0*o**3 + o**4 - j*o**3 = 0. Calculate o.
0, 1
Let o = -59209 - -592093/10. Find i such that -2/5 + 1/10*i**2 - o*i = 0.
-1, 4
Factor 1584 + 65*g**3 - 1358*g**2 + 372*g - 62*g**3 + 1154*g**2.
3*(g - 66)*(g - 4)*(g + 2)
Let p(t) = t**3 - 2*t**2 - 29*t + 5. Let c be p(7). Factor 12*i**4 + 49*i**3 - c*i**3 - 13*i**4.
-i**3*(i - 2)
Let q(h) be the first derivative of 78 + 2*h**2 + 16*h - 2/3*h**3. Factor q(s).
-2*(s - 4)*(s + 2)
Let -19192*j**2 - 13*j**4 - 40*j**3 + 18*j**4 + 19027*j**2 = 0. What is j?
-3, 0, 11
Let f(h) be the second derivative of -h**6/600 - 7*h**5/200 + 3*h**4/2 - 75*h**3/2 + 30*h. Let r(a) be the second derivative of f(a). Factor r(b).
-3*(b - 5)*(b + 12)/5
Suppose -4*h - 2*r = -2, 3*h - 32 = -3*r - 38. Let s(y) = -16*y + 48. Let v be s(h). Factor v*d - 2/15*d**2 + 0 + 2/15*d**3.
2*d**2*(d - 1)/15
Let h(t) = t**2 - t - 2. Let i(k) = 6*k**2 + 4*k - 34. Let z(b) = 8*h(b) - i(b). Let r be z(3). Let -1/3*l + 0*l**2 + 1/3*l**3 + r = 0. What is l?
-1, 0, 1
Let k = -19876/11 + 1807. Let o(r) be the first derivative of k*r**2 + 0*r - 10 - 2/33*r**3. Factor o(f).
-2*f*(f - 1)/11
What is i in 5*i**3 - 20*i**2 - 27*i + 6*i**3 + 17*i**3 + 2*i**3 - 21*i - 2*i**5 = 0?
-4, -1, 0, 2, 3
What is h in 4/3*h**2 + 1037232 - 2352*h = 0?
882
Let n = 261 + -261. Let p be 5 - 4 - 5 - (n - 6). Suppose 3/8*z - 3/8*z**p + 0 = 0. What is z?
0, 1
Factor 12 - 44/7*p**2 + 2/7*p**3 + 38/7*p.
2*(p - 21)*(p - 2)*(p + 1)/7
Let v(a) be the third derivative of -a**7/560 - a**6/80 + 49*a**5/160 - 13*a**4/8 + 15*a**3/4 + 1932*a**2. Solve v(b) = 0.
-10, 1, 2, 3
Let p(t) be the first derivative of -t**4/16 - 391*t**3/12 + 518. Find h such that p(h) = 0.
-391, 0
Suppose -11*z + 1453 = 463. Solve 0*w**2 + z - 16*w + 4*w**2 - 75 - 3*w**2 = 0.
1, 15
Suppose 3*b - 74 = -34*b. Suppose 0 = v + 5*k - 25, -3*k + 17 = v + b. Solve v - 1/4*p**2 + 1/2*p = 0.
0, 2
Solve -12*j + 27 + 12*j**3 + 3/4*j**4 - 111/4*j**2 = 0 for j.
-18, -1, 1, 2
Factor 168*h**2 - 2/7*h**3 + 1172/7 - 2346/7*h.
-2*(h - 586)*(h - 1)**2/7
Let h(o) be the first derivative of -89 + 2/27*o**3 - 2/3*o**2 + 2*o. Factor h(q).
2*(q - 3)**2/9
Suppose -5*z - 11 = 2*w, 446*w =