2 + n**2 = 0?
-1, -1/4, 0
Suppose -188*c + 590 = -178*c. Let z be 14/(-17 + c) - (-2)/(-24). Suppose 0 - 9/8*w**2 - 7/4*w**3 - 1/4*w**5 - 9/8*w**4 - z*w = 0. What is w?
-2, -1, -1/2, 0
Let h = -143207/2 + 71621. Suppose -2*t - 5*g = -21, -2*g + 0 = -6. Factor h*v**2 + 25/2 - 5/2*v**t - 55/2*v.
-5*(v - 5)*(v - 1)**2/2
Let x(c) be the third derivative of -c**6/24 + c**5/12 + 5*c**4/6 - 10*c**3/3 + 4*c**2 - 1497. Factor x(a).
-5*(a - 2)*(a - 1)*(a + 2)
Solve 3051 - 2*b**2 - 202*b - 28*b - 1658 - 1621 = 0.
-114, -1
Let x(y) be the second derivative of 5*y**4/12 + 155*y**3/2 - 12322*y. Suppose x(l) = 0. What is l?
-93, 0
Let v(u) be the third derivative of -2*u**7/105 - 23*u**6/15 + 248*u**5/15 - 59*u**4 + 102*u**3 + 585*u**2 + 1. Find t such that v(t) = 0.
-51, 1, 3
Let j(g) be the third derivative of 0*g + 35*g**2 + 1/30*g**5 - 5/24*g**4 + 1/3*g**3 + 0. Factor j(t).
(t - 2)*(2*t - 1)
Let s be 546/(-336)*(4 - (-48)/(-9)). Let q(y) be the first derivative of 37 - 5*y**2 + 3/2*y**4 + s*y**3 + 2*y. Solve q(z) = 0.
-2, 1/4, 2/3
Determine c, given that 0 + 0*c + 0*c**2 + 110/3*c**3 - 4*c**4 - 2/3*c**5 = 0.
-11, 0, 5
Suppose 2022*v + 336 = 10446. Let -2/3*s**v - 32/3*s**2 - 32*s + 0*s**4 + 128/3 + 32/3*s**3 = 0. What is s?
-4, -2, 2
Factor 10973*i**4 + 60*i - 10638*i**4 + 3147*i**2 + 2355*i**3 - 1067*i**2.
5*i*(i + 1)*(i + 6)*(67*i + 2)
Let z(w) be the second derivative of w**6/6 + 63*w**5/20 - 479*w**4/60 + 51*w**3/10 - 7*w**2/5 - 14*w + 54. What is l in z(l) = 0?
-14, 1/5, 1
Suppose 138 = -3*y + 11*y + 38*y. Let k(g) be the first derivative of -g**2 + 28/39*g**y - 5/26*g**4 + 8/13*g - 2. Factor k(h).
-2*(h - 1)**2*(5*h - 4)/13
Let t(h) be the first derivative of h**4/24 - h**3/2 - 5*h**2/2 + 44*h/3 - 663. Find v such that t(v) = 0.
-4, 2, 11
Let s be 3 + -6 + (-54608)/28. Let j = -1953 - s. Factor 2/7*z**2 - 8/7*z - 8/7 + j*z**3.
2*(z - 2)*(z + 1)*(z + 2)/7
Let o(u) be the second derivative of -u**7/42 - 11*u**6/15 - 159*u**5/20 - 235*u**4/6 - 298*u**3/3 - 132*u**2 + 10*u + 157. Suppose o(l) = 0. What is l?
-11, -6, -2, -1
Let x = -833711 + 833713. Find m, given that -4/3 + 0*m**x - 2*m + 2/3*m**3 = 0.
-1, 2
Let r(z) be the first derivative of -z**5/10 - 5*z**4/6 - 8*z**3/3 - 4*z**2 - 43*z - 21. Let c(o) be the first derivative of r(o). Factor c(d).
-2*(d + 1)*(d + 2)**2
Let q(i) be the second derivative of -i**7/252 + i**6/60 - i**5/60 + 446*i. Factor q(d).
-d**3*(d - 2)*(d - 1)/6
Suppose -8*z + 151 + 465 = 0. Factor -31*s + 35*s**4 - z*s**3 + 27*s**3 + 31*s - 5*s**5.
-5*s**3*(s - 5)*(s - 2)
Let y = -17833 + 17839. Let w(g) be the second derivative of 3/20*g**5 + 1/20*g**y + 41*g - 3/4*g**2 + 0*g**4 - 1/2*g**3 + 0. Let w(k) = 0. Calculate k.
-1, 1
Find u such that 0 - 3330/13*u + 3522/13*u**2 - 2/13*u**4 - 190/13*u**3 = 0.
-111, 0, 1, 15
Let k be 38/9 - (108 - -204)/78. Solve 54 + k*l**3 - 10/3*l**2 + 6*l = 0.
-3, 9
Let r(j) be the first derivative of -j**6/6 + 326*j**5/25 - 77*j**4/4 + 64*j**3/15 - 2825. Solve r(t) = 0.
0, 1/5, 1, 64
Let w(q) be the second derivative of 3/4*q**3 - 27*q - 4 + 0*q**2 + 0*q**4 - 1/40*q**5. Factor w(o).
-o*(o - 3)*(o + 3)/2
Suppose n - 31 = 5*s, -5*n + 47 = 25*s - 23*s. Suppose -3*c - 5 + n = 0. Let 2/21*d**5 + 2/7*d**4 + 0 - 8/21*d**c + 0*d**3 + 0*d = 0. Calculate d.
-2, 0, 1
Suppose 2*v = f + 210, 6*f - 408 = -4*v + 5*f. Factor 4*s**2 + 1936 - v*s - 89*s + 16*s.
4*(s - 22)**2
What is c in -40/3 + 5/3*c**4 - 10/3*c**2 - 5*c**3 + 20*c = 0?
-2, 1, 2
Let a(d) be the first derivative of -d**4/20 - 34*d**3/15 - 329*d**2/10 - 196*d + 4475. Factor a(q).
-(q + 7)**2*(q + 20)/5
Let c = 67964/5 - 13592. Let 0*h - 2/5*h**4 + c*h**3 - 2/5*h**2 + 0 = 0. What is h?
0, 1
Let s be -2 + (-1060)/(-255) - (-90)/510. Suppose -2/3 + 8/3*g**3 - s*g**2 - 17/3*g = 0. What is g?
-1, -1/8, 2
Suppose -5*g = 43 + 177. Let s = g + 64. Solve -8*i**3 + 18*i**3 - 25*i**2 + 15*i - s*i**3 = 0.
-3, 0, 1/2
Let m(x) be the second derivative of -x**6/45 + 7*x**5/6 - 25*x**4/2 - 375*x**3 + 11250*x**2 + 14*x - 12. Factor m(s).
-2*(s - 15)**3*(s + 10)/3
Suppose -3*f = c - 12, f - 14 = -2*c - 0*f. Let l = -260 - -263. What is t in -2*t**3 + 10*t**4 + 0*t**3 + 0*t**l + 3 + t + t**5 - c*t**2 - 7*t**4 = 0?
-3, -1, 1
Factor -334/7*t**2 - 330/7 + 2/7*t**3 + 662/7*t.
2*(t - 165)*(t - 1)**2/7
Suppose -9*i**2 - 1/2*i**3 + 25/2*i + 57 = 0. What is i?
-19, -2, 3
Factor -21/4*r**2 - 53/2*r - 5/4.
-(r + 5)*(21*r + 1)/4
Let v = 87 + -85. Factor -2*k**4 - 66*k**3 + 16*k**v + 70*k**3 + 19 - 19.
-2*k**2*(k - 4)*(k + 2)
Find s, given that -198025/7 - 1/7*s**2 + 890/7*s = 0.
445
Suppose 47 = 2*b + 43, 10 = 5*l + 5*b. Let g(c) be the second derivative of 1/126*c**4 + 0*c**2 - 31*c + 0 + l*c**3. Factor g(m).
2*m**2/21
Suppose 1/3*a**4 + 35/3*a - 35/3*a**3 - 1/3*a**2 + 0 = 0. What is a?
-1, 0, 1, 35
Let b be ((-20)/(-336)*(-1806)/516)/(1/(-6)). Let x = 11/3 + -19/6. Factor x*c**3 - 1/2 - 1/4*c**2 - b*c.
(c - 2)*(c + 1)*(2*c + 1)/4
Let c(y) be the second derivative of 26 - y - 10/11*y**2 - 7/33*y**3 - 1/66*y**4. Let c(n) = 0. Calculate n.
-5, -2
Let h(f) be the second derivative of f**7/189 + f**6/15 - 7*f**5/90 - 19*f**4/18 + 2*f**3 - 3*f - 219. Solve h(z) = 0.
-9, -3, 0, 1, 2
Let y(z) be the third derivative of 0*z**4 - 1/15*z**5 - 164*z**2 + 0*z + 1/112*z**8 + 0*z**3 - 11/210*z**7 + 1/10*z**6 + 0. Factor y(p).
p**2*(p - 2)*(p - 1)*(3*p - 2)
Let m(w) = w**2 + 4*w + 11. Let b be m(-5). Factor 191 + 4*g**3 + b*g**2 - 33*g - 167 - 11*g.
4*(g - 1)**2*(g + 6)
What is k in -351 + 405/2*k + 45*k**2 + 10*k**4 - 1/2*k**5 - 50*k**3 = 0?
-2, 3, 13
Suppose 3*z - 80 = -68. Let g be 15/42*z/5. Let 0 + 0*m**3 + 2/7*m**2 - g*m**4 + 1/7*m - 1/7*m**5 = 0. Calculate m.
-1, 0, 1
Let q(r) = -11*r**3 - 870*r**2 - 80*r - 77. Let m be q(-79). Factor -36501/2 - 3/2*z**3 - 4761/2*z - 207/2*z**m.
-3*(z + 23)**3/2
Let i = -6562 + 6564. Let f(c) be the second derivative of -20/9*c**4 - 9*c + 128/3*c**i + 160/9*c**3 + 0 - 5/3*c**5 + 4/9*c**6 - 2/63*c**7. Factor f(q).
-4*(q - 4)**3*(q + 1)**2/3
Let h = -1267/38 + 14469/418. Suppose 2/11*t**2 - h + 12/11*t = 0. Calculate t.
-7, 1
Let g(x) = x**2 - x + 1. Let u(k) = -45*k + 80. Let i(o) = -5*g(o) + u(o). Let y(d) = d - 2. Let t(j) = -i(j) - 30*y(j). Find n, given that t(n) = 0.
-3, 1
Let t(j) be the second derivative of -j**5/270 + j**4/54 - 65*j**2/2 - 2*j + 75. Let x(z) be the first derivative of t(z). Factor x(m).
-2*m*(m - 2)/9
Let q(i) = -5*i - 18. Let n = 23 - 27. Let s be q(n). Determine c so that -125 - 92*c**s - 16*c + 87*c**2 + 66*c = 0.
5
Suppose -10*x = -9*x + 1359. Let o = -1356 - x. Suppose -2/3*f**2 - 1/3*f**o + 0 + 0*f + 1/3*f**4 = 0. What is f?
-1, 0, 2
Let u be (-3)/(-5)*(-14)/63*-10. Let k = 9899/3 - 3295. Solve -u*a**2 + k*a - 2 = 0.
1/2, 3
Factor -1/5*b - 63/10 + 1/10*b**2.
(b - 9)*(b + 7)/10
Let w(z) be the first derivative of -4*z**7/35 + 27*z**6/40 - 5*z**5/4 + 3*z**4/4 + 10*z**2 - 5*z - 33. Let k(g) be the second derivative of w(g). Factor k(c).
-3*c*(c - 2)*(c - 1)*(8*c - 3)
Let t(q) be the first derivative of q**3/7 - 123*q**2/7 - 249*q/7 + 2776. Factor t(j).
3*(j - 83)*(j + 1)/7
Suppose 0 = -6*y - 8*y + y. Suppose 0 = 3*z - z - 162. Solve y*h + z*h**2 + 0*h - 79*h**2 = 0 for h.
0
Let j be (-18)/(450/(-325)) + -9. Determine p, given that -2/7*p**5 + 0*p**3 + 0 + 2/7*p - 4/7*p**j + 4/7*p**2 = 0.
-1, 0, 1
Suppose -2494*p + 2627*p = 115311. Factor 471/4*w**2 + p - 45/2*w**3 + 3/4*w**4 + 765*w.
3*(w - 17)**2*(w + 2)**2/4
Let w = -1004 + 2017/2. Let n = 389/2 - 193. Factor 6*d + w + n*d**2.
3*(d + 1)*(d + 3)/2
Let j(y) be the second derivative of -y**6/105 + 12*y**5/5 - 3611*y**4/21 + 664*y**3 - 6889*y**2/7 - y - 106. Factor j(n).
-2*(n - 83)**2*(n - 1)**2/7
Factor 33/2 + 3/2*z**2 + 18*z.
3*(z + 1)*(z + 11)/2
Let k(o) = o**3 + 6*o + 12. Let l be k(0). Suppose i + i + 1 = n, 0 = 5*i - 5*n + 15. Factor 197 - 209 + j**i + l*j - 4*j**2.
-3*(j - 2)**2
Let z be 18/56 - 25/(-2450)*-7. Factor 0*w - 1/2*w**2 - z*w**3 + 0.
-w**2*(w + 2)/4
Let d(v) be the second derivative of 1/5*v**5 + 1 + 4/55*v**6 + 49/33*v**3 - 45*v + 1/231*v**7 - 14/11*v**4 + 0*v**2. Factor d(z).
2*z*(z - 1)**2*(z + 7)**2/11
Let c(i) be the third derivative of 7/270*i**5 - 47*i**2 + 0 + 1/60*i**6 + 0*i - 8/27*i**3 + 1/945*i**7 - 1/12*i**4. Factor c(h).
2*(h - 1)*(h + 1)**2*(