 + 100 + 112*x + 83*x = 0.
-1, 10
Let 3588/5*s + 1072812/5 + 3/5*s**2 = 0. What is s?
-598
Let z = 263 - 261. Suppose -33*x**3 + 8*x**4 + 4*x**z - x**2 + 61*x**4 + 18*x - 42*x**3 - 15*x**5 = 0. Calculate x.
-2/5, 0, 1, 3
Suppose 143 = 7*k + 115. Solve 106*s + k*s**4 + 0*s**2 - 43*s**2 - 17*s**2 + 4*s**3 - 14*s - 40 = 0 for s.
-5, 1, 2
Let t(z) = 69 + 246*z - z**2 + 0*z**2 - 254*z. Let v be t(-13). Factor -15*d**3 - 2*d**v + d**4 - 8*d**4 + 3*d**4 - 6*d**2.
-3*d**2*(d + 2)*(2*d + 1)
Let h = -11 - -11. Let i be -3 + 2 + 3 + h. Solve -4*r**3 + 2*r - 2*r - 6*r**4 + i*r**4 = 0 for r.
-1, 0
Let z(l) be the third derivative of 79*l**5/60 - 1421*l**4/24 - 3*l**3 + 24*l**2 - 45*l. Determine o, given that z(o) = 0.
-1/79, 18
Let k(o) = 20*o**3 - 20*o - 60. Let y(s) = -s**3 + s**2. Let i be (-5)/((-5)/2) - (2 + -1). Let t(c) = i*k(c) + 15*y(c). Determine z, given that t(z) = 0.
-3, -2, 2
Factor -2*t**3 - 30*t + t**3 + 11*t - 90 + 8*t**2 + 11*t + 11*t.
-(t - 6)*(t - 5)*(t + 3)
Let p(j) be the second derivative of 2*j**2 - 21*j + 3/5*j**3 + 0 - 1/30*j**4. Find o, given that p(o) = 0.
-1, 10
Factor -1/8*w**2 + 7/2*w - 49/2.
-(w - 14)**2/8
Find f, given that 784/5*f + 16/5*f**3 + 258/5*f**2 - 2/5*f**4 + 544/5 = 0.
-4, -1, 17
Let i(s) = s**3 - 14*s**2 + 30*s - 61. Let c be i(12). Suppose -5*b + 45 = -0*b. Factor c*k**3 + 2*k**3 - k**4 - b*k**3.
-k**3*(k - 4)
Let g be (4848/(-192) + 25)/(1/(-16)). Let v(o) be the second derivative of 0*o**3 - 4/5*o**5 - 39*o - o**g + 0 - 2/15*o**6 + 0*o**2. Factor v(i).
-4*i**2*(i + 1)*(i + 3)
Let i = -1905010 - -1905010. Factor i + 2/7*u**2 + 34/7*u.
2*u*(u + 17)/7
Let r(q) = 7*q**3 - 800*q**2 + 8256*q - 20989. Let v(m) = -2*m**3 + 200*m**2 - 2063*m + 5247. Let j(w) = -3*r(w) - 11*v(w). Factor j(g).
(g - 5)**2*(g + 210)
Let g(w) be the second derivative of 0*w**2 + w**4 + 2/15*w**6 + 1/84*w**7 + 2*w + 11/20*w**5 + 3/4*w**3 + 16. Solve g(u) = 0.
-3, -1, 0
Let c(o) = -11*o**3 - 64*o**2 + 35*o + 34. Let d(b) = -55*b**3 - 322*b**2 + 172*b + 172. Let y(l) = -22*c(l) + 4*d(l). Factor y(k).
2*(k - 1)*(k + 6)*(11*k + 5)
What is n in -128018/3 - 2/3*n**2 + 1012/3*n = 0?
253
Let w = 49927/399096 + -5/49887. Factor -w*x**2 + 21/4*x - 441/8.
-(x - 21)**2/8
Let t be -10*((-10)/(-8))/(38/((-152)/10)). Let 5/3*u**2 + 0 - 5/3*u**4 - 5/3*u**5 + t*u**3 - 10/3*u = 0. Calculate u.
-2, -1, 0, 1
Let d(w) = -w**5 - w**3 + w - 2. Let c(f) = 5*f**5 - 7*f**4 - 2*f**3 + 16*f**2 - 6*f + 12. Let n(x) = c(x) + 6*d(x). Let n(s) = 0. Calculate s.
-4, 0, 1
Suppose -40*m**3 - 22*m**2 - 4*m - 139*m**3 + 183*m**3 + m**4 + 21 = 0. Calculate m.
-7, -1, 1, 3
Let j(p) be the first derivative of 1/4*p**4 + 2/35*p**5 - 1/42*p**6 + 50 + 0*p + 6/7*p**2 - 20/21*p**3. Let j(z) = 0. Calculate z.
-3, 0, 1, 2
Suppose 1/6*c**3 + 0 + 5/6*c**4 - 2*c - 17/6*c**2 - 1/6*c**5 = 0. Calculate c.
-1, 0, 3, 4
Let a = -1024 - -1031. Let p(f) be the third derivative of -1/70*f**a + 0*f + 0*f**6 + 3/20*f**5 - f**2 + 1/4*f**4 + 0 + 0*f**3. Factor p(n).
-3*n*(n - 2)*(n + 1)**2
Let g(i) = -104*i**3 - 166*i**2 - 72*i + 14. Let n(y) = -312*y**3 - 499*y**2 - 217*y + 36. Let j(x) = 11*g(x) - 4*n(x). Factor j(c).
2*(c + 1)*(4*c + 1)*(13*c + 5)
Let z(g) be the third derivative of -g**7/1575 + 13*g**6/900 + 253*g**5/450 - 541*g**4/180 + 92*g**3/15 - 7195*g**2. Determine o so that z(o) = 0.
-12, 1, 23
Let d = -323783 + 323785. Find a, given that -1/4*a**d - 1/4 - 7/8*a + 3/8*a**3 = 0.
-1, -1/3, 2
Let g(n) = n**5 - 8*n**4 - 90*n**3 + 1020*n**2 + 1089*n. Let j(y) = y**5 - 9*y**4 - 90*y**3 + 1018*y**2 + 1089*y. Let m(u) = -3*g(u) + 4*j(u). Solve m(i) = 0.
-9, -1, 0, 11
Let z(g) be the second derivative of g**5/140 + g**4/2 - 229*g**3/42 + 141*g**2/7 + g + 1257. Factor z(m).
(m - 3)*(m - 2)*(m + 47)/7
Suppose 5*v - 23 = -d, 2*v - 13 = -11. Factor -32*w**2 + 68*w**2 + 2*w**4 - d*w**3 + 50*w - 6*w**2.
2*w*(w - 5)**2*(w + 1)
Let q(s) be the first derivative of 11/90*s**5 + 44 + 0*s - 13/2*s**2 - 13/36*s**4 + 2/9*s**3. Let j(a) be the second derivative of q(a). Factor j(r).
2*(r - 1)*(11*r - 2)/3
Find q, given that -648/7 + 15/7*q**5 + 255/7*q**3 - 1404/7*q - 144/7*q**4 + 666/7*q**2 = 0.
-2, -2/5, 3, 6
Factor 121/2*n**3 + 0 + n**4 - 59*n + 175/2*n**2.
n*(n + 2)*(n + 59)*(2*n - 1)/2
Suppose c - 26 = -4*s, -9*s - 1 = -c - 8*s. Let b(z) = z**3 - 1. Let d(o) = 10*o**3 - 56*o**2 + 100*o - 54. Let i(n) = c*b(n) - d(n). Let i(r) = 0. Calculate r.
1, 12
Let g(y) be the second derivative of -1/15*y**5 - 14/9*y**3 + 0 + 0*y**2 + 8/9*y**4 + 219*y. Factor g(x).
-4*x*(x - 7)*(x - 1)/3
Let z(f) be the second derivative of -f**6/180 + 23*f**5/120 - 7*f**4/8 + 61*f**3/36 - 5*f**2/3 - 2336*f. Let z(y) = 0. What is y?
1, 20
Determine s, given that -116*s + 1507 - 713 + 2*s**2 - 912 = 0.
-1, 59
Let u(m) be the first derivative of -m**5/360 - 35*m**4/144 + 34*m**2 + 49. Let o(s) be the second derivative of u(s). Factor o(p).
-p*(p + 35)/6
Let g(x) be the third derivative of x**5/180 + 5*x**4/9 + 37*x**3/6 + 1261*x**2. Factor g(y).
(y + 3)*(y + 37)/3
Let p = -8 + 10. Let w = 16967/21 + -2423/3. What is m in 4/7*m**3 + 6/7*m**4 + 0*m**p + 0*m + w*m**5 + 0 = 0?
-2, -1, 0
Let 299*s - 5*s**2 + 69*s**2 + 343*s + 4*s**3 - 590*s - 120 = 0. Calculate s.
-15, -2, 1
Let y(w) = 7*w**4 + 34*w**3 + 31*w**2 - 68*w. Let d(c) = -15*c**4 - 69*c**3 - 60*c**2 + 135*c. Let a(t) = 4*d(t) + 9*y(t). Determine b, given that a(b) = 0.
-8, -3, 0, 1
Let b(f) be the second derivative of -f**5/220 - 91*f**4/132 + 47*f**3/11 + 2177*f. Factor b(z).
-z*(z - 3)*(z + 94)/11
Let l(y) be the first derivative of y**6/30 - 4*y**5/15 + 5*y**4/6 - 4*y**3/3 - 8*y**2 + 2*y + 62. Let t(r) be the second derivative of l(r). Factor t(m).
4*(m - 2)*(m - 1)**2
Suppose -236*c = -578*c + 3420. Factor -2/5*g**2 + c*g + 0.
-2*g*(g - 25)/5
Let s(i) be the third derivative of -i**7/21 + 5*i**6/8 - 4*i**5/3 - 5*i**4/2 - 2*i**2 + 128. Determine v, given that s(v) = 0.
-1/2, 0, 2, 6
Let u(y) = -2*y**2 + 166*y + 1068. Let h be u(89). Let a(p) be the second derivative of -22*p - 2/3*p**3 + h*p**2 + 1/3*p**4 + 0. Factor a(w).
4*w*(w - 1)
Let f = 9750 - 165740/17. Solve -2*l**2 - f*l + 12/17*l**3 + 12/17 = 0 for l.
-2/3, 1/2, 3
Factor -495*f**3 + 25*f**2 + 17661*f**4 - 17651*f**4 - 25*f**2 + 5*f**5.
5*f**3*(f - 9)*(f + 11)
Let b(f) be the first derivative of f**5 + 5*f**4/2 - 160*f**3/3 + 75*f**2 + 315*f + 1601. Factor b(s).
5*(s - 3)**2*(s + 1)*(s + 7)
Let g(d) = -21*d**2 - 201465*d + 45. Let k(l) = l**2 + 9158*l - 2. Let q(t) = -2*g(t) - 45*k(t). Factor q(i).
-3*i*(i + 3060)
Let o(y) be the third derivative of 0 + 119*y + 2/105*y**7 - 13/2*y**4 - 2*y**2 + 29/15*y**5 - 3/10*y**6 + 12*y**3. Solve o(i) = 0.
1, 2, 3
Let j(b) be the first derivative of -b**4 + 140*b**3/3 + 146*b**2 + 148*b + 1227. Let j(t) = 0. Calculate t.
-1, 37
Let c(b) = 37*b - 89. Let h be c(17). Let j = h - 537. Let -6/19*f - 2/19*f**4 + 0 + 4/19*f**5 - 22/19*f**2 - 22/19*f**j = 0. What is f?
-1, -1/2, 0, 3
Let c(r) be the first derivative of -r**4/16 + 9*r**3/4 - 51*r**2/8 - 2023*r/4 + 9894. Factor c(p).
-(p - 17)**2*(p + 7)/4
Suppose -308 - 108 = -8*g. Suppose 4*l + 339 + g = s, 2*l - 772 = -2*s. Determine o so that -218 - s*o + 447*o + 38 - 5*o**2 = 0.
6
Let w(s) be the first derivative of 26*s + 1065*s**2 - 90*s + 12*s**3 - 1077*s**2 - 162 - s**4. Determine m, given that w(m) = 0.
-1, 2, 8
Factor 26*b**4 - 21*b**4 + 588*b + 945*b**2 + 152*b + 210*b**3.
5*b*(b + 1)*(b + 4)*(b + 37)
Let p = -88 + 123. Factor p - 40*x**3 - 30*x**2 + 40*x + 9*x**4 - 27*x**4 + 7*x**4 + 6*x**4.
-5*(x - 1)*(x + 1)**2*(x + 7)
Let g(l) = -12*l**2 - 23771*l - 11761112. Let w(j) = 4*j**2 + 7924*j + 3920368. Let o(t) = 4*g(t) + 11*w(t). Solve o(h) = 0.
-990
Suppose -2*l + k - 11 + 17 = 0, 4*k - 4 = l. Let c be l/15*110/33. Factor 2/9*x**2 - c*x + 2/3.
2*(x - 3)*(x - 1)/9
Let w(l) be the second derivative of -11/3*l**3 + 3 + 1/10*l**5 - 1/3*l**4 + 20*l + 12*l**2. Factor w(m).
2*(m - 4)*(m - 1)*(m + 3)
Let r(l) be the second derivative of -1/42*l**6 - 1/21*l**3 + 0 + 0*l**2 + 28*l - 1/84*l**4 + 1/10*l**5 - 1/49*l**7. Suppose r(o) = 0. What is o?
-2, -1/3, 0, 1/2, 1
Suppose 2*n + 15*n + 40 = 3*s, 5*s = -5*n. Let f(k) be the second derivative of -27*k + s*k**2 + 1/3*k**4 + 0 - 4/3*k**3. Suppose f(c) = 0. Calculate c.
1
Let w(r) be the third