 - -30791. Let -4 - 10*b**2 + 54/5*b - z*b**4 + 18/5*b**3 = 0. What is b?
1, 2, 5
Suppose -4*h - 85 = 3*a, -16 = -4*h + 2*a - 126. Let v be (-6)/(-1)*h/(-300). Factor 3/2*g - 1 - v*g**2.
-(g - 2)*(g - 1)/2
Determine m, given that 8/9*m**2 - 4/9*m**4 + 22/9*m**3 - 56/9*m - 2/9*m**5 + 32/9 = 0.
-4, -2, 1, 2
Suppose 4*i = -2*s + 36, 13*s - 66 = 15*i - 20*i. Factor 1/6*c**s + 13/6*c + 0.
c*(c + 13)/6
Let y(n) be the first derivative of -1/11*n + 12/11*n**4 + 1/2*n**2 - 40/33*n**3 - 43. Let y(a) = 0. What is a?
1/4, 1/3
Suppose -57*c = -19*c - 228. Suppose l + 3 = y + c, 6 = 2*l + 3*y. Let -6/5 + 6*z**2 - 16/5*z - 8/5*z**l = 0. Calculate z.
-1/4, 1, 3
Let v = 456 - 452. Factor -6 - 29*k**v + 3*k**4 + 23*k**4 + 9*k**2 + 3*k - 3*k**3.
-3*(k - 1)**2*(k + 1)*(k + 2)
Let n(s) be the first derivative of 1 - 1/4*s**4 + 0*s**2 + 3/35*s**5 - 1/7*s**3 + 17*s. Let k(r) be the first derivative of n(r). Factor k(y).
3*y*(y - 2)*(4*y + 1)/7
Let f(i) be the first derivative of i**3 + 0*i - 7/240*i**5 + 1/24*i**4 + 10 + 1/144*i**6 + 0*i**2. Let g(w) be the third derivative of f(w). Factor g(z).
(z - 1)*(5*z - 2)/2
Let f be 2*-4*(-21)/(-112)*-2. Let a(p) be the second derivative of 0*p**f + 7*p + 1/45*p**6 - 1/9*p**4 + 0 + 1/3*p**2 + 0*p**5. Factor a(b).
2*(b - 1)**2*(b + 1)**2/3
Let m(v) = -16*v**3 + v - 1. Let n(j) = -209*j**3 + 1950*j**2 - 1267487*j + 274624987. Let i(s) = -39*m(s) + 3*n(s). Find z such that i(z) = 0.
650
Let o(v) = 6*v**2 + 19*v + 31. Let s be o(-6). Solve -264*d**2 - 12*d - 16 - 2*d + 133*d**2 + s*d**2 = 0 for d.
-1, 8
Let z(f) = -3*f**3 - 613*f**2 - 30590*f + 63654. Let i(j) = j**2 - j. Let b(n) = -i(n) - z(n). Factor b(a).
3*(a - 2)*(a + 103)**2
Let q(i) be the second derivative of i**4/24 + 247*i**3/6 + 61009*i**2/4 - 985*i. Factor q(s).
(s + 247)**2/2
Let d(t) = -499104*t**4 + 1052721*t**3 - 110880*t**2 + 4005*t + 15. Let u(r) = -r**4 - r**3 - r - 3. Let w(o) = d(o) + 21*u(o). Factor w(m).
-3*(m - 2)*(55*m - 2)**3
Let m(n) be the first derivative of 0*n**2 - 11 - 1/8*n**4 + 0*n - 1/240*n**5 + 28/3*n**3 + 1/720*n**6. Let f(i) be the third derivative of m(i). Factor f(y).
(y - 3)*(y + 2)/2
Let v(g) = 2*g**3 - g. Let q(f) = 5*f**3 + 5*f**2 + 11*f - 6. Let r(n) = -q(n) + 5*v(n). Let m(a) = -a + 1. Let w(u) = 6*m(u) - r(u). Factor w(c).
-5*c*(c - 2)*(c + 1)
Let v(s) = 75*s**3 + 18*s**2 + 402*s - 681. Let b(n) = 6*n**3 + n**2 + 1. Let w(q) = -15*b(q) + v(q). Factor w(h).
-3*(h - 4)*(h - 2)*(5*h + 29)
Let m(d) = d**3 + 4*d**2 - 261*d + 126. Let q be m(14). Let q*z**2 - 1/4*z**3 + 1/4*z + 0 = 0. Calculate z.
-1, 0, 1
Let k = -4285 - -6021. Let v = k + -1734. What is o in 7*o + 49 + 1/4*o**v = 0?
-14
Factor -110940 - 31865/3*s**2 + 71380*s - 5/3*s**4 - 830/3*s**3.
-5*(s - 3)**2*(s + 86)**2/3
Determine y, given that -1700 - 1780*y - 1510 - 1490 - 148*y**2 + 4*y**3 = 0.
-5, 47
Suppose 0 = 3*t - 3*z + 6, 5*t - 4*z = -7 + 1. Let s(j) be the second derivative of -2/5*j**3 - 2/15*j**4 + 0 + 4/5*j**t + 6*j. Factor s(h).
-4*(h + 2)*(2*h - 1)/5
Let w(c) be the first derivative of 54*c + 37/2*c**3 + 45*c**2 + 15/4*c**4 + 3/10*c**5 + 55. Factor w(k).
3*(k + 2)**2*(k + 3)**2/2
Let t be (749/(-28))/1 + 1. Let k = t - -337/12. Suppose 7/3*p**3 + 2/3 - 5/3*p**4 - k*p + p**2 = 0. What is p?
-1, 2/5, 1
Let v(i) be the second derivative of -i**5/55 + 5*i**4/22 - 34*i**3/33 + 21*i**2/11 - 1984*i. Suppose v(k) = 0. What is k?
1, 3, 7/2
Let w(o) be the second derivative of -o**6/210 + o**5/35 + o**4/7 + o - 2. Solve w(h) = 0.
-2, 0, 6
Let u(n) be the second derivative of n**7/231 - 28*n**6/165 + 241*n**5/110 - 215*n**4/33 - 1700*n**3/33 - 1000*n**2/11 - 1448*n. Factor u(a).
2*(a - 10)**3*(a + 1)**2/11
Let p be 4/(-5) - (9 + -13). Let q(a) be the second derivative of 0 + 1/50*a**5 + p*a**3 - 64/5*a**2 - 2/5*a**4 - 16*a. Solve q(c) = 0 for c.
4
Let l(d) be the third derivative of -d**7/70 + 11*d**6/40 - 6*d**5/5 - 9*d**4/2 + 1938*d**2. Factor l(x).
-3*x*(x - 6)**2*(x + 1)
Let j(v) be the second derivative of 15 + 4/15*v**3 + 1/30*v**4 - v**2 + 3*v. Factor j(k).
2*(k - 1)*(k + 5)/5
Let b = 1088 + -990. What is a in 5*a**2 - 138*a + 0*a**2 + b*a = 0?
0, 8
Let i be ((-6)/(-8) - 1)/((-6)/120). Suppose -14748 = -10*x - 14708. Solve 0 - 8/5*q + 4/5*q**4 - 12/5*q**3 - x*q**2 + 4/5*q**i = 0.
-1, 0, 2
Let w(f) be the third derivative of -2*f**7/105 - 7*f**6/24 + 67*f**5/20 - 32*f**4/3 + 26*f**3/3 - 554*f**2. What is u in w(u) = 0?
-13, 1/4, 2
Factor 69192 + 372*d + 1/2*d**2.
(d + 372)**2/2
Let i = -907328 - -4536642/5. Determine y so that 24/5 + i*y**4 + 0*y**3 - 8/5*y - 18/5*y**2 = 0.
-2, 1, 3
Factor 177 - 477 + 252*n**2 + 251*n**2 - 498*n**2 - 85*n.
5*(n - 20)*(n + 3)
Suppose 339*d = 334*d + 4575. Let z = d - 11887/13. Determine n so that z*n**3 + 2/13*n**4 - 6/13 + 4/13*n**2 - 8/13*n = 0.
-3, -1, 1
Let m(s) be the first derivative of -34/5*s**3 - 28 - 9/20*s**4 + 201/10*s**2 + 78/5*s. Suppose m(c) = 0. Calculate c.
-13, -1/3, 2
Let g be (2/56)/(-83*8/(-10624)). Suppose -4/7*b**2 + 0 - g*b**4 + 8/7*b**3 + 0*b = 0. Calculate b.
0, 1
Let n be (-1 - 0)/(8/(-3304)*1). Let a = n + -413. Let -15/7*h**3 - 3/7*h**5 - 6/7*h**2 + a - 12/7*h**4 + 0*h = 0. Calculate h.
-2, -1, 0
Factor 98/3*g + 47/3*g**2 + 0 - 50/3*g**3 + 1/3*g**4.
g*(g - 49)*(g - 2)*(g + 1)/3
Suppose 0*c - 4 = -c, -4*d + 3*c + 4 = 0. Suppose 0 = 18*f - 1071 + 765. Determine o, given that 9*o**d + 3*o**3 - 23*o**4 + f*o**4 = 0.
-1, 0
Suppose 0 = 4*o - 16 + 8. Factor -1309*i**2 - 4*i**3 - 15*i + 1305*i**o + 39*i.
-4*i*(i - 2)*(i + 3)
Let x(f) be the second derivative of -f**4/36 - 533*f**3/18 - 177*f**2 + 1144*f + 2. Determine y so that x(y) = 0.
-531, -2
Let h(w) be the third derivative of -w**6/60 + 34*w**5/25 + 1451*w**4/60 + 94*w**3/5 + 1151*w**2 - 2*w. Suppose h(v) = 0. What is v?
-6, -1/5, 47
Let k = 60/353 + 1525/1412. Let v(p) be the first derivative of -10 - 5/6*p**3 - k*p**4 + 0*p**2 + 0*p - 1/2*p**5. Solve v(c) = 0 for c.
-1, 0
Let r(n) = n**4 + n**3 - n**2 + n. Let s(x) = x**5 + 20*x**4 + 80*x**3 + 140*x**2 + 125*x + 36. Let l(k) = -5*r(k) + s(k). Suppose l(m) = 0. Calculate m.
-6, -1
Suppose 3*t - 396 = -4*r, -t + 304 = 3*r + 3*t. Solve 48*g**4 - g**5 - 212*g**3 - 25*g**5 - r + 400*g - 168*g**2 + 54*g**5 = 0 for g.
-3, -2, 2/7, 1, 2
Let h(r) = 4*r**2 + 1481*r + 373. Let c(v) = -4*v**2 - 1483*v - 373. Let f(a) = -6*c(a) - 5*h(a). Factor f(y).
(y + 373)*(4*y + 1)
Let i(j) = -2*j**2 + 6*j - 7. Let o = -5 + 2. Let w(n) = -4 + 112*n - 3*n**2 - 3 - 1 - 105*n. Let f(r) = o*w(r) + 4*i(r). Solve f(u) = 0.
-4, 1
Let l = 75/52 - 9/13. Let b be 6/4 + -3 + (9 - 7). Determine g so that l*g - 1/2*g**3 + 3/4*g**4 - b*g**2 - 1/4 - 1/4*g**5 = 0.
-1, 1
Let v(i) = -i**3 + 312*i**2 - 1284*i + 1272. Let u(t) = 312*t**2 - 1284*t + 1278. Let j(p) = -4*u(p) + 3*v(p). Factor j(y).
-3*(y - 2)**2*(y + 108)
Let v = 31868/17 + -159323/85. Factor -8/5 + 12/5*t + v*t**4 - 2/5*t**2 - 3/5*t**3.
(t - 2)**2*(t - 1)*(t + 2)/5
Let m(p) = 15*p**4 - 10*p**3 + p**2 + 21*p - 17. Let t(u) = 2*u**4 - u**3 + u**2 - u + 1. Let l(v) = -5*m(v) + 35*t(v). Factor l(g).
-5*(g - 2)**3*(g + 3)
Suppose -258*b + 171*b**2 - 192 + 678*b**3 - 1211*b + 791*b + 21*b**4 = 0. Calculate b.
-32, -1, -2/7, 1
Let p(i) be the second derivative of i**4/4 - 888*i**3 + 1182816*i**2 - 24*i - 48. Factor p(u).
3*(u - 888)**2
Let k(o) be the first derivative of 2*o**3/33 - 12*o**2/11 - 266*o/11 - 1996. Factor k(r).
2*(r - 19)*(r + 7)/11
Let z = 535 - 262. Let h be (-82)/(-21) - (1339/z + -5). Suppose -4/3*n**2 + 16/3*n - h = 0. What is n?
1, 3
Suppose -3 = 5*w + 2, 3*w + 69 = -3*j. Let a = j - -26. Factor -7*h**a + 15*h**5 + 3*h**4 + 4*h**2 + 2*h - 17*h**5.
-2*h*(h - 1)*(h + 1)**3
Let w(u) be the third derivative of -5*u**8/336 - 43*u**7/126 - 29*u**6/12 - 11*u**5/9 + 115*u**4/3 - 80*u**3 - 953*u**2. Suppose w(q) = 0. Calculate q.
-6, -4, 2/3, 1
Let a(j) be the third derivative of 8*j - 1/6*j**4 + 1/48*j**6 + 0*j**3 + 1/420*j**7 - j**2 + 0 + 1/60*j**5. Determine g, given that a(g) = 0.
-4, -2, 0, 1
Let x(y) = -66*y**3 + 219*y**2 + 291*y + 3. Let d(z) = -z**4 - 332*z**3 + 1091*z**2 + 1454*z + 16. Let h(n) = -3*d(n) + 16*x(n). Let h(l) = 0. What is l?
-1, 0, 7, 14
Let b(c) = c**3 + 11*c**2 - 12*c + 2. Let g be b(-12). Determine p, given that -4*p - 8*p**3 - 21*p - 20*p**g + 5*p**4