g**2 + 85*g = 0.
-2, -1, 1, 23
Let -125*w - 117/4*w**3 - 119*w**2 - 8 = 0. What is w?
-2, -8/117
Let n be ((-1)/13)/(((-192)/(-104))/(-4)). Let d(x) be the second derivative of -n*x**2 + 0 - 1/18*x**4 - 20*x - 1/4*x**3. Determine w so that d(w) = 0.
-2, -1/4
Let j(w) be the first derivative of -w**7/2520 + w**6/135 - 13*w**5/360 + w**4/12 + 47*w**3/3 - 62. Let l(s) be the third derivative of j(s). Factor l(k).
-(k - 6)*(k - 1)**2/3
Suppose -8*c - l - 25 = -3*c, -4*c + 4*l + 4 = 0. Let n be -8 - -5*(c - -5) - -5. Factor 0 + 1/6*y**n - 2/3*y.
y*(y - 4)/6
Let x = -56150 + 56152. Find c, given that 3/2*c**5 + 0 - 6*c + 9/2*c**3 + 15/2*c**x - 15/2*c**4 = 0.
-1, 0, 1, 4
Suppose 323 + 1153 = 9*g. Factor -10*x**2 - g*x - 3249 + 50*x + 9*x**2.
-(x + 57)**2
Let y be ((-3006)/(-15081) - 10/55)/(-2). Let g = 1387/1828 + y. Let 15/2*r + g*r**2 + 75/4 = 0. What is r?
-5
Solve -1050 - 1476/7*i**2 + 3735*i + 3*i**3 = 0.
2/7, 35
Determine j, given that -432/5 + 84/5*j**5 - 3156/5*j**3 - 4988/5*j**2 - 68*j**4 - 2688/5*j = 0.
-3, -1, -2/3, -2/7, 9
Let z = 196856/5 + -39370. Factor 16/5 - z*o - 1/5*o**2.
-(o - 2)*(o + 8)/5
Let l(h) be the first derivative of -27 + 0*h**2 + h + 1/3*h**6 + 0*h**3 - 1/4*h**5 - 5/42*h**7 + 0*h**4. Let p(i) be the first derivative of l(i). Factor p(g).
-5*g**3*(g - 1)**2
Let k(u) be the first derivative of 9*u**6/8 - 57*u**5/10 + 105*u**4/16 + 15*u**3/2 - 33*u**2/2 + 6*u - 1385. Find p such that k(p) = 0.
-1, 2/9, 1, 2
Let u(v) be the first derivative of -105 + 1/2*v**4 - 2/15*v**5 - 8/3*v**2 + 4/3*v**3 + 0*v. Determine r, given that u(r) = 0.
-2, 0, 1, 4
Factor 186*d**3 + 5*d + 8*d**4 + 34*d**2 - 7*d**4 - 23*d - 3*d**4 - 200*d**3.
-2*d*(d - 1)**2*(d + 9)
Let y = 30 + -28. Suppose -r - y = -4*s, -3 - 2 = -r - 3*s. Factor -6*x**2 - 12 + x**2 - 13*x - r*x + 2.
-5*(x + 1)*(x + 2)
Factor 5/4*y**3 + 13*y + 11*y**2 - 1/2*y**4 + 0.
-y*(y + 2)**2*(2*y - 13)/4
Let g(o) = 33*o - 162. Let d be g(5). Find z such that 136*z**3 + 10 - 94*z**2 - 10*z**d - 18 + 16 - 40*z**4 = 0.
-1/4, 2/5, 1, 2
Factor 0 - 5/8*m**3 + 1/8*m**2 - 1/8*m**4 + 5/8*m.
-m*(m - 1)*(m + 1)*(m + 5)/8
Find t such that 321/2 + 3/4*t**2 + 327/4*t = 0.
-107, -2
Let o be (0/5)/(2 + -1). Suppose 0 = j - 2*s + 3, -5*j - s + o = -18. Let 5*l**4 - 289*l**3 + 286*l**j + 7*l**4 = 0. Calculate l.
0, 1/4
Let o(q) = -q**2 + 14*q + 32. Let z be o(15). Suppose -3*w + 3*b + 4 = -z, -3*b - 15 = 0. Factor -16 - 7*g**2 + 2*g**2 + 12*g + g**w + 4*g.
-4*(g - 2)**2
Let z(x) be the second derivative of -x**5/4 + 3*x**4 - 72*x**3/5 - 37*x**2 - 72*x. Let m(h) be the first derivative of z(h). Solve m(l) = 0 for l.
12/5
Let r be ((-6 + 6)/12)/(-2). Let z(l) be the first derivative of -16/3*l**6 - 44/3*l**3 + 44/5*l**5 + 5*l**4 + 6*l**2 + r*l - 22. Find f such that z(f) = 0.
-1, 0, 3/8, 1
Let v(z) be the first derivative of z**6/120 - z**5/8 + z**3/3 + 22*z + 46. Let m(n) be the third derivative of v(n). Factor m(c).
3*c*(c - 5)
Let y(x) = -x**3 - 646*x**2 + 14001*x - 4002. Let r be y(-667). Let n = 2/631 - -4411/1893. Determine m so that n*m + 1/3*m**2 + r = 0.
-7, 0
Let v(c) = -7*c**3 + 14*c**2 - 19*c - 44. Let h(n) = 9*n**3 - 15*n**2 + 17*n + 46. Let l(b) = 4*h(b) + 5*v(b). Factor l(t).
(t - 3)*(t + 1)*(t + 12)
Let k(d) be the third derivative of -d**5/180 + 9*d**4/8 + 14*d**3 + 11809*d**2. Factor k(z).
-(z - 84)*(z + 3)/3
Let h(c) be the second derivative of -21 + 25/2*c**4 + 2*c + 20/3*c**3 + 4/3*c**2. Factor h(x).
2*(15*x + 2)**2/3
Let p(t) be the third derivative of -t**5/600 + 5*t**4/48 + 7*t**3/5 - 2735*t**2. Factor p(x).
-(x - 28)*(x + 3)/10
Let w(p) = -3*p**3 + 22*p**2 - 71*p + 73. Let c(f) = -2*f**3 + f**2 + f + 5. Let u(s) = c(s) - w(s). Let u(j) = 0. Calculate j.
2, 17
Let x(o) be the second derivative of -5*o**4/12 - 220*o**3 + 1325*o**2/2 + 326*o - 3. Suppose x(z) = 0. Calculate z.
-265, 1
Let z = 203152 - 203149. Factor 58*k**2 - 14*k - 65/2*k**z + 7/2*k**4 + 0.
k*(k - 7)*(k - 2)*(7*k - 2)/2
Find i, given that -3/4*i**2 - 951/4*i + 477/2 = 0.
-318, 1
Let h(v) = -3*v**3 + 64*v**2 - 905*v + 3528. Let a(m) = -2*m**3 + 60*m**2 - 906*m + 3528. Let w(p) = -5*a(p) + 4*h(p). Factor w(n).
-2*(n - 7)**2*(n + 36)
Solve -51/5*p**2 + 168/5 - 3/5*p**3 - 114/5*p = 0.
-14, -4, 1
Let p = 2/11843 + -13548402/59215. Let i = p + 229. Factor 0 + 4/5*n + i*n**2.
n*(n + 4)/5
Let l(n) = -3990*n - 79798. Let k be l(-20). Solve 14/3*t - 1/6*t**k - 98/3 = 0 for t.
14
Let o(x) be the second derivative of -x**5/4 - 35*x**4/4 - 60*x**3 - 170*x**2 - 507*x + 2. Factor o(a).
-5*(a + 2)**2*(a + 17)
Let g = 1393/110 - 261/22. Solve 0*u + 1/5*u**2 - g = 0.
-2, 2
Let s(j) be the third derivative of j**6/900 + 47*j**5/90 + 14803*j**4/180 + 12769*j**3/5 + 3*j**2 + 1389. Factor s(g).
2*(g + 9)*(g + 113)**2/15
Solve 700 - 272/7*x**3 + 1360*x + 4/7*x**4 + 4344/7*x**2 = 0.
-1, 35
Let k = 314 + -313. Factor -16 + k - 138*r**2 + 189*r + 12*r**2 + 3 - 33*r**3 - 18.
-3*(r - 1)*(r + 5)*(11*r - 2)
Let q(n) = 2*n**3 + 4*n**2 + 20*n. Let j(d) = 24*d + 33*d + 3*d**2 + d**3 - 47*d. Let b(a) = 5*j(a) - 2*q(a). Suppose b(h) = 0. Calculate h.
-5, -2, 0
Suppose 15*n - 17*n + 28 = 0. Suppose 0*h - h = 4*a - n, -2*a + 2*h = -12. What is c in 52 - a*c + 8*c - 50 + 2*c**2 = 0?
-1
Suppose -13*b - 163*b + 63*b**2 + 96*b**2 - b**4 + 192*b**2 - 174*b**3 = 0. Calculate b.
-176, 0, 1
Let f(x) = 2*x**2 + 8*x + 1. Let q(i) = 13*i**2 + 183*i + 140. Let c(n) = 6*f(n) - q(n). Determine a, given that c(a) = 0.
-134, -1
Let d(r) = -7*r**2 - 6*r - 9. Let n(a) be the third derivative of -8*a**2 + 0 + a**4 + 1/2*a**5 + 0*a + 6*a**3. Let t(h) = 21*d(h) + 5*n(h). Factor t(v).
3*(v - 3)*(v + 1)
Let s be -29 - (5 + -7) - -7. Let h be 3/5 - (108/s)/9. Factor 0 + h*b**2 + 3/5*b**3 + 3/5*b.
3*b*(b + 1)**2/5
Factor -2*h**3 + 2*h**3 + 463*h + 3*h**3 + 159*h**2 + 279*h + 1274*h.
3*h*(h + 21)*(h + 32)
Let o = -1/1132 + 585/21508. Let f(l) be the first derivative of 8/19*l + 0*l**2 - o*l**4 + 10 - 2/19*l**3. Solve f(k) = 0.
-2, 1
Suppose 0 = -2*y - 2*s + 40, -5*s - 150 = -6*y + y. Suppose 0 = -y*u - 0*u + 14*u. Find r, given that -26/3*r**3 - 2*r**4 - 4/3*r**2 + 16/3*r + u = 0.
-4, -1, 0, 2/3
Let i(r) = -60*r**3 - 7407*r**2 + 7485*r - 2018. Let x(f) = -20*f**3 - 2468*f**2 + 2495*f - 677. Let n(z) = 4*i(z) - 11*x(z). Let n(b) = 0. Calculate b.
-125, 1/2
Let o(q) be the third derivative of -q**8/546 - 29*q**7/1365 - 21*q**6/260 - 23*q**5/195 - 2*q**4/39 + 598*q**2. Suppose o(s) = 0. Calculate s.
-4, -2, -1, -1/4, 0
Suppose 1077 = 23*q - 257. Determine g so that -5 - 6*g - 116*g**2 + 57*g**2 + q*g**2 = 0.
-5, -1
Let g(j) be the second derivative of j**5/70 - j**4/42 - 76*j**3/21 - 20*j**2 + 3036*j. Determine a, given that g(a) = 0.
-7, -2, 10
Suppose 5*i**4 - i - 12*i**3 - 12709*i**2 - 18*i**3 + i + 12734*i**2 = 0. Calculate i.
0, 1, 5
Let x = -1673 - -1754. Suppose 0 = -57*m + x*m - 72. Suppose 9/2*w**m - 3/4 - 13/4*w**2 - 7/2*w - 2*w**5 + 5*w**4 = 0. Calculate w.
-1/2, 1, 3
Let c be (-280)/25*(-61)/122. What is d in -c + 2/5*d**2 + 2*d = 0?
-7, 2
Find k such that 130*k**4 + 1992*k + 2/3*k**5 - 1202/3*k**3 - 914*k**2 + 2376 = 0.
-198, -2, -1, 3
Let q(g) be the second derivative of -g**6/90 + 13*g**5/12 + 67*g**4/36 - 65*g**3/18 - 11*g**2 + 6673*g. Determine s, given that q(s) = 0.
-1, 1, 66
Let v = 88332/11 - 1148294/143. Let 16/13*x + 0 + v*x**2 = 0. Calculate x.
-8, 0
Suppose 64*c = 178*c - 129 - 99. Factor -4*o + 0 - 4/3*o**3 + 2/15*o**4 + 62/15*o**c.
2*o*(o - 5)*(o - 3)*(o - 2)/15
Let o(u) be the second derivative of u**5/20 + 7*u**4/12 - u**3/6 - u**2/2 - 10*u. Let p be o(-7). Let 15 + p*m**2 + 18 - 33 + 2*m = 0. What is m?
-1/3, 0
Let n(k) = -14*k + 57 + 27 + 92*k. Let h(v) = -2*v**2 - 311*v - 336. Let o(y) = -2*h(y) - 9*n(y). Determine z, given that o(z) = 0.
-1, 21
Let n(t) be the second derivative of -t**5/30 - 5*t**4/12 + 2*t**3 + 161*t**2/2 + 27*t. Let u(s) be the first derivative of n(s). Solve u(b) = 0 for b.
-6, 1
Let b(z) be the first derivative of z**3/12 + 107*z**2/4 + 11449*z/4 + 1179. Suppose b(t) = 0. Calculate t.
-107
Let g(t) = -t**3 + 10*t**2 - 14*t + 1. Let f be g(2). Suppose -5*p + f*u = -5, -3*u + 18 = -p + 5*p. What is q in q**p + 1/2*q**4 - 1/2 - q + 0*q**2 = 0?
-1, 1
Let 3/7*p**3 + 0 + 81675/7*p - 990/7*p**2 = 0. What is p?
0, 165
Let j(z) be th