5 + 192*g**2/5 - 20*g - 171. Suppose f(l) = 0. What is l?
-2, -1, 8
Find f such that -1880/3 - 2/3*f**2 - 386/3*f = 0.
-188, -5
Suppose 0 = 6*q - 45 - 75. Suppose -5*o + q = 0, 5*o - 34 = -2*w - 4. Factor -2 - 2 - 5*j + j**2 + 3*j**2 - w*j**2.
-(j + 1)*(j + 4)
Let y(q) = 6*q + 373. Let d be y(27). Let x = -531 + d. Suppose 2/15*z**2 + 2/15*z - 2/15*z**3 + 0 - 2/15*z**x = 0. Calculate z.
-1, 0, 1
Let q be -4 - -1 - ((-116)/12 - -4). Let p(a) be the first derivative of -a**4 - q*a**3 + 2*a**2 - 10 + 8*a. Factor p(d).
-4*(d - 1)*(d + 1)*(d + 2)
Let j(a) be the second derivative of a**6/300 + 7*a**5/25 + 887*a**4/120 + 143*a**3/3 + 507*a**2/5 - 245*a - 4. Factor j(l).
(l + 1)*(l + 3)*(l + 26)**2/10
Let d = -82 - -82. Suppose -11*k + 4*k + 14 = d. Factor -6*s + 11*s + k*s**3 - 2*s - 5*s.
2*s*(s - 1)*(s + 1)
Let z be 1/(5 - 70/15). Solve -z*k**2 - 2*k**3 - k**3 + 3*k**2 + 9*k**2 = 0 for k.
0, 3
Let m(a) be the third derivative of -a**8/14 + 316*a**7/315 - 51*a**6/16 - 131*a**5/72 + a**4 + a**3 + 2962*a**2. Solve m(c) = 0.
-1/4, -2/9, 1/4, 3, 6
Let u = -16 - 8. Let j = u - -24. Suppose -4*i**2 + 9 + 4*i**3 + 0*i - 4*i - 5 + j*i**2 = 0. Calculate i.
-1, 1
Let v be (-5148)/(-3146) + (-280)/198. Let -v*t**2 - 2738/9 - 148/9*t = 0. Calculate t.
-37
Solve 218/9*f - 214/9 - 4/9*f**2 = 0.
1, 107/2
Suppose -491*d = -813 - 660. Factor 10/7*g**2 - 4/7*g + 0 + 2*g**d.
2*g*(g + 1)*(7*g - 2)/7
Let h(x) be the second derivative of 3 - 2*x**3 - 1/12*x**4 + 13*x - 11/2*x**2. Factor h(a).
-(a + 1)*(a + 11)
Let n be (-64174)/(-55) + 1/5 + 1. Let z = -1166 + n. Suppose 49/2 + 7*l + 1/2*l**z = 0. What is l?
-7
Let t(g) be the third derivative of 2*g**2 - 1/40*g**5 - 1/8*g**4 - 1/28*g**7 - g + 0*g**3 - 3/112*g**8 + 0 + 7/40*g**6. Suppose t(l) = 0. Calculate l.
-2, -1/3, 0, 1/2, 1
Let a(q) be the second derivative of 0 + 0*q**2 - 4/9*q**6 + 2/63*q**7 + 14/9*q**3 - 22/9*q**4 + 8/5*q**5 + 200*q. What is f in a(f) = 0?
0, 1, 7
Let k(s) = 15*s**2 + 87*s - 324. Let y(x) = x + 29. Let t be y(-24). Let g(l) = 6*l**2 + 35*l - 129. Let m(d) = t*k(d) - 12*g(d). Factor m(v).
3*(v - 3)*(v + 8)
Let f(l) be the first derivative of 3*l**4/4 + l**3 - 12*l**2 - 36*l - 3667. Solve f(k) = 0.
-2, 3
Let s(m) be the first derivative of -m**5 - 145*m**4/2 - 5405*m**3/3 - 15870*m**2 - 1129. Factor s(v).
-5*v*(v + 12)*(v + 23)**2
Let g = 514431/5 + -102886. Factor 2*m - 11/5 + g*m**2.
(m - 1)*(m + 11)/5
Let f = 152512/5 + -30502. Let 32*u - 40 + 38/5*u**2 + f*u**3 = 0. Calculate u.
-10, 1
Let g(l) be the second derivative of 64*l + 3/28*l**4 + 0*l**2 - 1/14*l**3 + 1/70*l**6 + 1 - 9/140*l**5. Find n such that g(n) = 0.
0, 1
Let d(z) be the first derivative of -5*z**4/8 - 595*z**3/6 + 455*z**2 - 610*z + 2506. Determine b, given that d(b) = 0.
-122, 1, 2
Factor 4255*y**2 - 95*y - 4188*y**2 + y**3 + 69 - 42*y.
(y - 1)**2*(y + 69)
Let w(k) be the first derivative of k**6/2700 + 23*k**5/450 + k**4/4 + 109*k**3/3 + 125. Let u(p) be the third derivative of w(p). Find g such that u(g) = 0.
-45, -1
Factor -1/6*p**2 - 37/6*p - 80/3.
-(p + 5)*(p + 32)/6
Determine d, given that 3/2*d**2 + 11163/2 + 183*d = 0.
-61
Let c = 2368 + -1154. Let v = 1218 - c. Suppose 0 - n**3 + 0*n + 1/4*n**v + n**2 = 0. Calculate n.
0, 2
Let l(i) be the first derivative of 5/6*i**3 + 23 - 1/4*i**5 - 5*i**2 + 9*i + 5/6*i**4. Let o(n) be the first derivative of l(n). Suppose o(b) = 0. Calculate b.
-1, 1, 2
Let o(v) be the first derivative of -v**6/30 - 9*v**5/25 + 47*v**4/20 - 21*v**3/5 + 13*v**2/5 + 738. Determine a, given that o(a) = 0.
-13, 0, 1, 2
Suppose -1879444*v + 631 + 4*v**3 - 108*v**2 + 153 + 1880116*v = 0. What is v?
-1, 14
Let y = -257 - -280. Factor -7*h + y - 35 + 3*h**2 - 9 + 25*h.
3*(h - 1)*(h + 7)
Let a(p) be the second derivative of 5*p**4/12 + 665*p**3/6 - 456*p. Factor a(m).
5*m*(m + 133)
Let l(y) be the third derivative of -7/60*y**5 + 16/3*y**3 + 0*y + 23 - y**2 + 13/6*y**4. Suppose l(d) = 0. What is d?
-4/7, 8
Let b = -45 + 46. Let d be b + (-14)/(-10) + 3/5. Let d*g**2 + 83 - 2*g - 80 - 4*g = 0. Calculate g.
1
Let o(z) be the third derivative of z**6/30 + z**5 + 47*z**4/6 - 42*z**3 - 341*z**2. Let o(f) = 0. Calculate f.
-9, -7, 1
Let m(s) be the second derivative of -88/27*s**4 - 38*s - 16/9*s**2 + 1/3*s**6 + 0 - 25/189*s**7 + 38/45*s**5 + 32/9*s**3. Determine h, given that m(h) = 0.
-2, 2/5, 1, 2
Let k(y) be the third derivative of -y**11/831600 + y**9/50400 + y**8/25200 - 7*y**5/15 + 68*y**2. Let m(t) be the third derivative of k(t). Factor m(o).
-2*o**2*(o - 2)*(o + 1)**2/5
Let t be (-2)/11*(-28 + 26) - 2884/(-55). Suppose 6*b**3 + t*b + 2/5*b**4 + 148/5*b**2 + 144/5 = 0. What is b?
-6, -2, -1
Let z be (-84)/(-63)*99/12. Suppose 10*i**4 + 5*i**3 + 3*i**2 + 2*i**4 + 3*i - z*i**4 + 4*i**2 = 0. Calculate i.
-3, -1, 0
Suppose -8*g - 37 = -a, -282*a + 13 = -277*a + 3*g. Factor 6/5*h**a - 192/5 - 96/5*h**2 + 48/5*h**3 + 36/5*h**4 - 288/5*h.
6*(h - 2)*(h + 2)**4/5
Let f(w) = w**2 - 2. Let g(y) = -7*y**2 + 47*y - 34. Let s(n) = -6*f(n) - g(n). Factor s(l).
(l - 46)*(l - 1)
Suppose -64*h - 18547 = -10*h - 18709. Let 1/5*n**4 + 0*n - 2/5*n**h + 0 + 0*n**2 = 0. Calculate n.
0, 2
Suppose -2 + 6 = -19*l + 42. Let g(c) be the first derivative of -21 - 7*c**l - 2/3*c**3 + 16*c. Determine z, given that g(z) = 0.
-8, 1
Let a be 6/(-4)*1436/(-24771). Let d(w) = -2*w**2 - 18*w + 2. Let b be d(-9). Suppose -2/23*p - 12/23 + a*p**b = 0. What is p?
-2, 3
Let p(b) be the second derivative of -5/4*b**4 + 0 + 0*b**2 - 3*b + 3*b**3 - 3/20*b**5. What is w in p(w) = 0?
-6, 0, 1
Solve 3/2*f**4 - 32*f**3 - 37*f + 24 - 189/2*f**2 = 0 for f.
-2, -1, 1/3, 24
Factor -7*q**2 - 31*q - 2*q**2 - 475 - 924*q - q**2.
-5*(q + 95)*(2*q + 1)
Let h(q) be the first derivative of 4*q**6/39 - 86*q**5/65 + 157*q**4/26 - 428*q**3/39 + 64*q**2/13 + 64*q/13 - 2979. Find o such that h(o) = 0.
-1/4, 1, 2, 4
Factor 1845/2 - 5/2*q**2 - 920*q.
-5*(q - 1)*(q + 369)/2
Suppose 0 = -3*d - 12, 5*f - 4*d - 31 = -0*f. Factor -3*m + 98*m**2 - 187*m**2 + 95*m**2 - 3*m**f.
-3*m*(m - 1)**2
Let c(k) be the third derivative of -1/630*k**7 + 0 - 5/24*k**4 + 1/120*k**6 + 155*k**2 + 7/180*k**5 - k**3 - k. Find w such that c(w) = 0.
-2, -1, 3
Let x(b) be the second derivative of b**4/12 - b**3/3 - 15*b**2/2 - 18*b + 8. Let i be x(5). Factor 6/7*m**3 - 9/7*m**2 + i*m - 1/7*m**4 + 0.
-m**2*(m - 3)**2/7
Let q be 362/(-4163) - 142/(-46). Suppose 1/7*f**q - f - 2/7*f**2 - 4/7 = 0. What is f?
-1, 4
Let o(y) be the first derivative of y**4/14 + 38*y**3/21 - 76*y**2/7 - 440*y/7 + 1772. Determine t so that o(t) = 0.
-22, -2, 5
Let g(n) be the first derivative of 2*n**3 + 34*n**2/3 - 16*n/3 + 1224. Solve g(w) = 0.
-4, 2/9
Let s = 428 - -78. Factor s*x + 21125 + 5*x**2 - 465*x + 609*x.
5*(x + 65)**2
Suppose 75 = -q + 50. Let h be (-18)/(-4) - ((-1750)/28)/q. What is s in 0 + 2/3*s**3 + 4/3*s**h + 0*s - 2*s**4 = 0?
-2/3, 0, 1
Let f be -13 + -6*(6 + -7) + 5. Let k be (-20)/6 + 2*(f - -4). Factor 0 - 1/3*d**2 + k*d.
-d*(d - 2)/3
Let l(w) = -3*w**2 - 409*w - 404. Let b(r) = 48*r**2 + 6546*r + 6465. Let d(f) = -2*b(f) - 33*l(f). Factor d(m).
3*(m + 1)*(m + 134)
Let i = -3787/8 + 3789/8. Factor 1/2*q**3 + q**2 - 2*q + 0 - i*q**4.
-q*(q - 2)**2*(q + 2)/4
Let l be -2 + 24/11 + 1157/72072*-7. Let h(w) be the second derivative of -l*w**4 + 0 + 1/18*w**3 + w + 1/30*w**5 - 1/180*w**6 + 0*w**2. Solve h(u) = 0 for u.
0, 1, 2
Let t = 2637 - 2633. Let j(w) be the first derivative of -2*w**4 + t*w**2 + 4/3*w**3 + 0*w - 4/5*w**5 - 12. Factor j(h).
-4*h*(h - 1)*(h + 1)*(h + 2)
Let p = -352828 + 352830. Factor -24/7 + 2/7*y**4 + 40/7*y - 2*y**p - 4/7*y**3.
2*(y - 2)**2*(y - 1)*(y + 3)/7
Factor 470/3*p**3 + 707/9*p**4 - 1411/9*p - 235/3 - 2/9*p**2 + 1/9*p**5.
(p - 1)*(p + 1)**3*(p + 705)/9
Let z(n) = -n**3 + 16*n**2 - 29*n + 18. Let s be z(14). Suppose s*m = 233 - 17. Find h such that -m*h + h**2 + 56*h - h**3 - 2*h**2 = 0.
-2, 0, 1
Let w be 12/10*285/2052*12. Suppose -12*d**4 + 0 - 24*d - 116/3*d**3 - 4/3*d**5 - 52*d**w = 0. Calculate d.
-3, -2, -1, 0
Let k = 4317 - 8607/2. Let n(m) be the first derivative of -7 + 105/8*m**3 - k*m**2 - 147/32*m**4 + 6*m. Factor n(g).
-3*(g - 1)*(7*g - 4)**2/8
Let j(k) = -30 - 437*k**2 - 35*k + 849*k**2 - 427*k**2. Let d(g) = 23*g**2 + 52*g + 45. Let t(w) = -5*d(w) - 8*j