/8 - -18941. Let q(r) be the first derivative of w*r**3 - 3/16*r**4 + 30 + 3/8*r**2 - 3/40*r**5 + 0*r. Suppose q(y) = 0. What is y?
-2, -1, 0, 1
Factor 0 - 9*g**3 + g**4 - 59/3*g**2 - 10*g + 1/3*g**5.
g*(g - 5)*(g + 1)**2*(g + 6)/3
Let o be (-14)/(3/18*26 - 5). Determine t, given that -8 - 3*t**2 + o*t + 0 + 1 - 6 - 5 = 0.
1, 6
Let o = 4275 + -4272. Let u(b) be the third derivative of 0*b - 2*b**2 + 7/360*b**5 - 1/9*b**o - 1/12*b**4 + 0. Factor u(c).
(c - 2)*(7*c + 2)/6
Suppose -2*p + 4*w - 4 = 0, -3*p = -4*p + 5*w - 11. Factor p*z**4 - 22*z**2 - 28 + 16*z**3 - 50*z**2 - 585*z + 665*z.
4*(z - 1)**3*(z + 7)
Let v(y) be the second derivative of y**6/120 - y**5/30 - 5*y**4/24 + y**3 - 37*y**2 - 29*y + 2. Let d(k) be the first derivative of v(k). Factor d(t).
(t - 3)*(t - 1)*(t + 2)
Determine v so that -2948*v**2 - 84*v**2 - 112*v**2 + 0*v**3 + 2*v**3 + 1346159*v - 287755648 + 301297*v = 0.
524
Let x be 0*(-10 - 3570/(-360)). Determine q, given that 28/5*q**3 - 12/5*q**2 + x - 4*q**4 + 4/5*q**5 + 0*q = 0.
0, 1, 3
Factor -1 - 108 - 110*z - 5*z**2 - 147 + 19 - 188.
-5*(z + 5)*(z + 17)
Let j(x) be the second derivative of 1/50*x**5 - 1/3*x**3 - 47*x + 1/15*x**4 + 0 - 6/5*x**2. Find k, given that j(k) = 0.
-3, -1, 2
Let w(x) = x - 10. Let c be w(12). Factor 283*b**c - 51*b - 323*b**2 - 13*b - b**3 - 3*b**3.
-4*b*(b + 2)*(b + 8)
Let g = -171487/2 - -857483/10. Factor -1/5*n**3 - 13*n - 42/5 - g*n**2.
-(n + 1)*(n + 2)*(n + 21)/5
Let w(s) be the second derivative of s**6/540 + s**5/15 + 5*s**4/9 + 7*s**3 + 3*s + 7. Let k(x) be the second derivative of w(x). Factor k(p).
2*(p + 2)*(p + 10)/3
Suppose -n = 2*n - 3*w - 3, -3*n = -4*w - 2. Determine r so that -25 + 380*r + 120*r + 530*r**n + 135*r**3 - 15 = 0.
-2, 2/27
Suppose -9*i + 34 - 15 = 19. Let a(g) be the second derivative of -1/3*g**4 - 11*g - 2/15*g**6 + 0*g**3 + 0*g**2 - 2/5*g**5 + i. Let a(p) = 0. Calculate p.
-1, 0
Let z be 27230/38900*((-739)/(-21) - 4/12). Suppose 8 - z*x**2 + 18/5*x**3 + 152/5*x = 0. What is x?
-2/9, 2, 5
Let j(k) be the second derivative of -1/6*k**4 + 0*k**2 - 3/50*k**5 + 2/15*k**3 + 14*k - 1. Determine t so that j(t) = 0.
-2, 0, 1/3
Let y(t) be the first derivative of -t**3/30 - 57*t**2/10 - 113*t/10 + 6929. What is c in y(c) = 0?
-113, -1
Suppose -j = 7*q - 6*q - 10, -4*q = 5*j - 46. Suppose 30 = j*d + 18. Determine r so that -20/7*r**d - 12/7*r**3 - 8/7*r + 0 = 0.
-1, -2/3, 0
Let l be (-14)/(-54)*(1456/(-49))/(-13). Let a(x) be the first derivative of -4/9*x - l*x**3 + 1/6*x**4 - 12 + 7/9*x**2. Factor a(q).
2*(q - 1)**2*(3*q - 2)/9
Let w(o) be the third derivative of o**7/210 - 7*o**6/20 + 147*o**5/20 - 2*o**2 + 24. Find k such that w(k) = 0.
0, 21
Let n = 161120 - 808859/5. Let l = n - -655. Suppose -8*m - l - 5*m**2 = 0. Calculate m.
-4/5
Find j, given that -164/11*j**2 + 0 - 570/11*j**3 + 0*j + 14/11*j**4 = 0.
-2/7, 0, 41
Let f(q) be the first derivative of 2*q**6/3 + 304*q**5/5 + 149*q**4 + 296*q**3/3 + 4261. Factor f(r).
4*r**2*(r + 1)**2*(r + 74)
Let q be 30/33*1188/648. Let i(w) be the second derivative of 1/30*w**5 - 8/3*w**2 - q*w**3 - 27*w + 0 - 1/3*w**4. Factor i(m).
2*(m - 8)*(m + 1)**2/3
Let w(k) be the third derivative of -k**6/96 - 2371*k**5/48 - 219410*k**4/3 + 1758245*k**3/6 + 2*k**2 + 3*k - 24. What is c in w(c) = 0?
-1186, 1
Let x(f) be the second derivative of f**7/840 - f**6/48 - 3*f**5/20 - 5*f**4/12 - 2*f**2 + 101*f. Let b(l) be the third derivative of x(l). Factor b(j).
3*(j - 6)*(j + 1)
Let m(x) be the third derivative of x**8/13440 + 3*x**7/2240 + x**6/240 + 11*x**5/15 - x**2 - 32*x. Let d(s) be the third derivative of m(s). Factor d(k).
3*(k + 4)*(2*k + 1)/4
Let c(u) = 7*u + 571. Let k be c(-81). Find a, given that 27 - 3/2*a**5 + 6*a**k + 6*a**3 - 33*a**2 - 9/2*a = 0.
-2, -1, 1, 3
Let n be 7*4/28*12. Let o be 1/(-7) + (12/n)/1. Factor 3/7 + 6/7*g**3 - o*g + 0*g**2 - 3/7*g**4.
-3*(g - 1)**3*(g + 1)/7
Let f be -2*((-324)/8 + -1). Let o = -81 + f. Let -16 - q**3 - 20 + 32 - 2*q**o + 7*q = 0. What is q?
-4, 1
Let u(c) be the second derivative of 4*c**7/21 + 17*c**6/15 - 56*c**5/5 + 67*c**4/6 + 8*c**3 + 4*c - 69. Solve u(k) = 0 for k.
-8, -1/4, 0, 1, 3
Factor 447697125 + 0*k**3 + k**3 + 1459522*k + 296153*k + 1485*k**2 + 810*k**2.
(k + 765)**3
Factor -52*b**2 - 6 + 131/5*b**3 - 1969/5*b.
(b - 5)*(b + 3)*(131*b + 2)/5
Let q = 174482 - 1575908/9. Let f = q + 620. Determine c so that -2/9*c**2 + 4/3 - f*c = 0.
-6, 1
Suppose 2*g - 130 = 2*s + 192, 3*s = g - 161. Find t, given that -3*t + 156*t**2 - 7*t - 5 - g*t**2 = 0.
-1
Let z(u) = 407*u + 30935. Let x be z(-76). Let -3*k**x - 3/4*k**4 + 9*k**2 + 24*k - 48 = 0. What is k?
-4, 2
Let x(q) be the second derivative of -q**7/2100 + q**6/75 - 3*q**5/25 + 21*q**4/4 - q**2/2 + 28*q. Let b(z) be the third derivative of x(z). Factor b(f).
-6*(f - 6)*(f - 2)/5
Let n(p) be the second derivative of 1/135*p**6 - 5/54*p**4 - 3*p + 0*p**2 + 1/90*p**5 + 1/9*p**3 - 21. Solve n(o) = 0.
-3, 0, 1
Let c(q) be the first derivative of 2*q**4 + 70*q**3 + 194*q**2 - 61. Find m, given that c(m) = 0.
-97/4, -2, 0
Let u(i) = 8*i**3 + 720*i**2 + 2088*i + 1388. Let g(z) = -7*z**3 - 716*z**2 - 2087*z - 1387. Let a(v) = -4*g(v) - 3*u(v). Suppose a(h) = 0. What is h?
-173, -2, -1
Let x(g) be the second derivative of -1/300*g**6 + g + 10 + 1/15*g**3 + 1/30*g**4 - 1/200*g**5 + 0*g**2. Factor x(m).
-m*(m - 2)*(m + 1)*(m + 2)/10
Suppose a - 7 = -2*v, -3*v - a + 0*a + 10 = 0. Suppose 2*y**v - 8 + 2 - 3*y + y + 2 + 4*y**2 = 0. What is y?
-2, -1, 1
Let o = -91179 + 91181. Find c, given that -2/3*c**4 + 8 - 4/3*c**3 - 56/3*c + 38/3*c**o = 0.
-6, 1, 2
Let g be (-3)/((-18)/8) - (1495/(-69))/1. Let a(h) be the first derivative of -5/3*h**3 + g - 30*h - 25/2*h**2. Factor a(u).
-5*(u + 2)*(u + 3)
Factor 1 + 1/4*j**4 + 3/4*j**3 - 5/4*j**2 - 3/4*j.
(j - 1)**2*(j + 1)*(j + 4)/4
Let n = 15878/270785 + -9/155. Let g = 1753/10482 - n. Factor -g*x**2 + 0 + 0*x**3 + 1/6*x**4 + 0*x.
x**2*(x - 1)*(x + 1)/6
Let h(z) be the second derivative of -z**6/24 - 7*z**5/2 + 89*z**2/2 + 144*z. Let v(d) be the first derivative of h(d). Factor v(r).
-5*r**2*(r + 42)
Let g(q) be the first derivative of 43 + 2*q**3 - 1/15*q**5 - 56/3*q + 10/3*q**2 - 5/12*q**4. Solve g(r) = 0.
-7, -2, 2
Let y be (83/(-332))/((27/320)/3)*39/(-65). Let 0 - y*v**2 - 1/6*v = 0. What is v?
-1/32, 0
Let j = 339468 - 678919/2. Factor -4*i**2 + j*i - 5 + 1/2*i**3.
(i - 5)*(i - 2)*(i - 1)/2
Let t(l) be the second derivative of l**5/160 + 7*l**4/96 - 281*l**3/48 + 273*l**2/16 - 1009*l + 1. Factor t(u).
(u - 13)*(u - 1)*(u + 21)/8
Factor -9319*c**3 + 2775 - 1135*c + 74*c**2 - 35*c**2 + 9318*c**3 + 82*c**2.
-(c - 111)*(c - 5)**2
Solve 22/7*i + 1/7*i**2 + 0 = 0 for i.
-22, 0
Let j(y) = -y**3 + 38*y - 2. Let n be j(-7). Factor -85*k - 13*k**4 + 0*k**4 + 4*k**4 - n*k**2 - 15*k**3 - 30 + 14*k**4.
5*(k - 6)*(k + 1)**3
Let u(b) be the first derivative of -b**4/28 - 33*b**3/7 - 192*b**2/7 - 380*b/7 - 4. Factor u(n).
-(n + 2)**2*(n + 95)/7
Suppose n + 99 = 4*n. Determine o, given that -6*o**5 + 72*o - 20*o**2 - 16 + 64*o**4 - 22*o**4 - n*o**3 - 25*o**3 - 2*o**5 = 0.
-1, 1/4, 2
Suppose 12/7*u**4 + 4/7*u**2 - 14*u - 16/7 + 14*u**3 = 0. What is u?
-8, -1, -1/6, 1
Let g be (-9)/(18/(-4)) + 0. Let y = -2656 - -2658. Factor 2/25*t**g + y + 4/5*t.
2*(t + 5)**2/25
Suppose -23*r + 672 = -44*r. Let a be 7 + -1 + 0 + r/14. Factor -2 + a*o - 10/7*o**2 - 2/7*o**3.
-2*(o - 1)**2*(o + 7)/7
Suppose z + 33 - 68 = 0. Find i, given that 255*i**2 - 50*i**2 - 5*i**4 - 59 + z*i**3 + 165*i - 58 + 117 = 0.
-3, -1, 0, 11
Let s = -104 - -107. Factor 320*h - 8*h**2 - 24 + 84*h**2 - 376 + 4*h**s.
4*(h - 1)*(h + 10)**2
Let z(j) be the first derivative of -1/2*j - 1/24*j**6 + 1/4*j**4 + 0*j**5 + 1/6*j**3 - 3/8*j**2 - 53. Determine s so that z(s) = 0.
-1, 1, 2
Let y(z) be the third derivative of -z**5/90 + 332*z**4/3 - 440896*z**3 - 3*z**2 + 102. Factor y(d).
-2*(d - 1992)**2/3
Suppose -22*x + 25*x = -3. Let w be (3 + (-15)/5)*x. Factor 1/5*d - 1/5*d**3 + 0*d**2 + w.
-d*(d - 1)*(d + 1)/5
Factor -59*k**3 + 3705/2*k**2 - 6498*k + 1/2*k**4 + 0.
k*(k - 57)**2*(k - 4)/2
Let p be -25 - -22 - 8/(-16)*10. Let m(r) be the first derivative of -33 - 10*r**p + 50*r + 2/3*r**3. Let m(o) = 0. What is o?
5
What is z in -24*z**5 + 127*z**4 + 58*z**4 