r f(v).
-2*(v - 494)**3
Let o be (-24768)/(-63) + (-3)/21. Let m = o + -1961/5. Factor -m + 9/5*s**3 - 16/5*s + 11/5*s**2.
(s - 1)*(s + 2)*(9*s + 2)/5
Factor 32*s**2 + 2*s**5 - 42379364*s + 42379364*s + 16*s**3 - 14*s**4.
2*s**2*(s - 4)**2*(s + 1)
Let a = 3447 + -1929. Let z = a + -7589/5. Factor 0 + 2/5*t - 3/5*t**2 + z*t**3.
t*(t - 2)*(t - 1)/5
Let d(f) be the second derivative of f**4/36 + 47*f**3/18 + 23*f**2/3 + 8716*f. Factor d(j).
(j + 1)*(j + 46)/3
Let g be (-18)/(-5) - 22416/14010. What is n in 0 + 1/5*n**g + 14/5*n = 0?
-14, 0
Let 794/13*h + 12 + 22/13*h**3 - 348/13*h**2 = 0. What is h?
-2/11, 3, 13
Let p(u) = -4*u**2 - 16*u + 10. Let n(a) = 9*a**2 + 3. Let h(w) = -11*w**2 - w - 3. Let y(x) = -5*h(x) - 6*n(x). Let o(g) = 6*p(g) + 20*y(g). Factor o(r).
-4*r*(r - 1)
Let l(f) be the third derivative of 1/10*f**5 - 1/30*f**6 + 9/2*f**3 - 29*f**2 - 1/210*f**7 + 3/2*f**4 + 6*f + 0. Factor l(d).
-(d - 3)*(d + 1)*(d + 3)**2
Let y(r) be the second derivative of r**6/90 - 2*r**5/3 + 19*r**4/6 - 13*r**3/6 + 2*r**2 - 21*r. Let q(l) be the second derivative of y(l). Factor q(h).
4*(h - 19)*(h - 1)
Let k = -9477/8 + 9489/8. Let c(x) = -x**2 + 3*x + 2. Let z be c(3). Factor -z*t**2 + 1/2 + k*t.
-(t - 1)*(4*t + 1)/2
Let g(q) = -4*q**2 + 8000*q - 3984012. Let b(d) = 16*d**2 - 32004*d + 15936047. Let z(u) = 4*b(u) + 17*g(u). Determine v so that z(v) = 0.
998
Solve -4365 + 2432 - 2957 + 552*u - 16513 - 3989 - 3*u**2 = 0.
92
Let x(t) be the second derivative of -t**4/48 - 35*t**3/4 + 53*t**2 + t + 2049. Factor x(k).
-(k - 2)*(k + 212)/4
Suppose -2*i = 4*l - 20, -5*i - 5*l + 38 - 8 = 0. Suppose -110*c**2 + i*c**3 + 40*c + 115*c**2 - 12*c**3 + 28 - 3 = 0. Calculate c.
-1, 5/2
Let y(i) = i**3 - 24*i**2 - 55*i + 115. Let c be y(26). Suppose 12*s = c*s. Factor 0 + 1/2*o**3 + s*o + 3/2*o**2.
o**2*(o + 3)/2
Suppose 3*n - 16*c = -13*c - 3, 5*c = -n + 5. Let t(s) be the first derivative of 13/3*s**3 - 3*s**2 - 1/5*s**5 + n*s - 1 + 1/6*s**6 - 7/4*s**4. Factor t(r).
r*(r - 2)*(r - 1)**2*(r + 3)
Let f(p) be the third derivative of -8/3*p**4 + 1/15*p**5 + 130*p**2 + 0 + 0*p + 0*p**3. Factor f(n).
4*n*(n - 16)
Factor 16*h + 4/5*h**2 - 384/5.
4*(h - 4)*(h + 24)/5
Let u(w) = 116*w**2 - 910*w + 5512. Let d(b) = -249*b**2 + 1821*b - 11022. Let h(r) = 7*d(r) + 15*u(r). Solve h(m) = 0 for m.
-307, 6
Suppose 2*h - 378 = 5592. Solve 5922*p - 6272*p + h + 5*p**2 + 3140 = 0.
35
Let v be 37/15 + (-75)/45. Let a be (-4)/(-6) + (-352)/(-660). Factor -2/5*t**2 + a*t - v.
-2*(t - 2)*(t - 1)/5
Let c(h) be the first derivative of 0*h - 124 - 57/20*h**5 - 11/8*h**4 + 0*h**3 + 0*h**2 - 5/24*h**6. Find f, given that c(f) = 0.
-11, -2/5, 0
Let h be (-20)/(-8) + (-56)/(-252)*(-312)/32. Factor h*c**2 - 5/3 - 4/3*c.
(c - 5)*(c + 1)/3
Suppose -30 = 3*z + 60. Let r(n) = n. Let m(t) = 5*t**2 + 105*t - 140. Let s(d) = z*r(d) - m(d). Find y such that s(y) = 0.
-28, 1
Let z(v) be the first derivative of -v**6/270 + v**5/180 + v**4/18 + 15*v + 65. Let x(a) be the first derivative of z(a). Suppose x(c) = 0. Calculate c.
-2, 0, 3
Let m = 50337 + -453013/9. Factor 6*c - m - 10/9*c**2.
-2*(c - 5)*(5*c - 2)/9
Let 832*v - 622 - 330*v**2 + 9*v**3 + 154 - 76 = 0. What is v?
4/3, 34
Let t(d) be the first derivative of -d**7/2520 - d**6/270 - d**5/72 - d**4/36 + 46*d**3/3 - 94. Let c(j) be the third derivative of t(j). Factor c(w).
-(w + 1)**2*(w + 2)/3
Let u(r) = -r**2 - 67*r + 210. Let a be u(-70). Let j(k) be the first derivative of -k**2 - 1/4*k**4 - k**3 + a*k - 4. Factor j(x).
-x*(x + 1)*(x + 2)
Let j(p) be the first derivative of -5*p**4 + 424*p**3/3 - 422*p**2 + 152*p + 546. Let j(k) = 0. Calculate k.
1/5, 2, 19
Let g(y) be the second derivative of -9*y**5/20 - 427*y**4/2 + 2877*y**3/2 - 1296*y**2 - 7563*y. Factor g(r).
-3*(r - 3)*(r + 288)*(3*r - 1)
Let f(p) be the second derivative of 43/33*p**3 + 0*p**2 + 1/110*p**5 + 0 - 2/3*p**4 + 203*p. Solve f(h) = 0.
0, 1, 43
Let h(l) = 11*l**5 - 7*l**4 - 22*l**3 + 25*l + 7. Let u(y) = 6*y**5 - 4*y**4 - 12*y**3 + 14*y + 4. Let b(n) = -4*h(n) + 7*u(n). Factor b(j).
-2*j*(j - 1)**2*(j + 1)**2
Suppose 27 = 3*q + 2*q + 12. Let x(c) be the first derivative of -1/8*c**4 + 13 - 1/2*c**q - 3/4*c**2 - 1/2*c. Factor x(d).
-(d + 1)**3/2
Let z be (-4)/(((-8)/30)/(2/(-5))). Let l be (z + 8)*((-4)/(-2))/2. Factor 4*s**5 - 3*s**5 + 4*s**4 - 20*s + 3 + 4*s**3 - 3*s**3 - 14*s**l - 11.
(s - 2)*(s + 1)**2*(s + 2)**2
Let f(y) = y**3 + 7*y**2 - 21*y - 25. Let a be -10 + 147/161 + 4/46. Let d be f(a). Find j such that 4/9*j**2 - d*j**3 + 4/9 - 8/9*j**4 + 2*j = 0.
-2, -1, -1/4, 1
Determine h so that 3*h**5 + 48*h + 0*h**5 - 5*h - 43*h = 0.
0
Let o = 112 - 105. Let h(r) = 3*r - 18. Let v be h(o). Find g, given that 0 - 3/5*g**v - 6/5*g**2 - 3/5*g = 0.
-1, 0
Let p(n) = -12*n**4 + 1. Let d(o) = 286*o**4 + 2218*o**3 + 54574*o**2 - 67218*o + 10382. Let i(m) = 2*d(m) + 44*p(m). Suppose i(k) = 0. Calculate k.
-51, 2/11, 1
Let d(f) be the first derivative of 2*f**3/57 - 490*f**2/19 + 641. What is s in d(s) = 0?
0, 490
Let n(a) = 825*a**2 - 5788*a + 91. Let s be n(7). Factor 1/2*u**3 + 8 - 6*u + s*u**2.
(u - 2)**2*(u + 4)/2
Suppose 184*l = -215*l - 84*l + 966. Factor -38/7*b - 2*b**l + 12/7.
-2*(b + 3)*(7*b - 2)/7
Let y(r) = -7*r**2 + 385*r - 1498. Let s(b) = -22*b**2 + 1156*b - 4496. Let w(h) = 5*s(h) - 16*y(h). Solve w(k) = 0.
4, 186
Let z = -2549/4 - -140203/220. Let f(q) be the first derivative of -z*q**5 + 26 - 1/22*q**4 + 0*q**2 + 0*q + 2/33*q**3 + 1/33*q**6. Factor f(v).
2*v**2*(v - 1)**2*(v + 1)/11
Let k(x) be the third derivative of 0*x**3 - 2 + 48*x**2 + 1/490*x**7 - 1/70*x**6 + 0*x - 1/28*x**4 + 1/28*x**5. Suppose k(j) = 0. Calculate j.
0, 1, 2
Suppose t - 10 = -4*r, 0 = 3*t - 0*r - r + 9. Let y(l) = -l**2 - 5*l - 2. Let s be y(t). Solve 90*b**3 - 94*b**3 + 6*b - 2 + 2*b**s - 2*b = 0.
-1, 1
Let h(o) be the third derivative of o**2 - 6*o + 15/2*o**3 + 17/20*o**5 + 0 - 1/40*o**6 - 31/8*o**4. Factor h(q).
-3*(q - 15)*(q - 1)**2
Let y(w) = -7*w**2 - w - 6. Let p(b) = 15*b**2 + 2*b + 13. Let a(o) = 6*p(o) + 13*y(o). Let d(m) = 10*m**2 + 15*m + 20. Let i(h) = -15*a(h) - d(h). Factor i(v).
5*(v - 2)*(v + 2)
Let w(y) be the first derivative of -y**3 - 663*y**2 + 2664*y - 8927. Determine z, given that w(z) = 0.
-444, 2
Let r(g) be the third derivative of 0*g**3 + 1/6*g**4 + 36*g**2 + 1/210*g**7 + 0 - 1/120*g**6 + 0*g - 1/15*g**5. Factor r(l).
l*(l - 2)*(l - 1)*(l + 2)
Suppose 0 = 3*k - 5*g - 45, -2*g = -3*k + 1041 - 1014. Find b, given that 9/4*b**2 + 0 + 3/4*b**k + 3*b - 15/4*b**3 - 9/4*b**4 = 0.
-1, 0, 1, 4
Let p(k) be the third derivative of 0*k**3 - 4/105*k**7 + 63*k**2 + 0*k + 0*k**4 + 0 + 2/15*k**5 - 1/30*k**6 + 1/84*k**8. Factor p(g).
4*g**2*(g - 2)*(g - 1)*(g + 1)
Let u(i) = i**3 + 3*i**2 - 82*i - 118. Let c be u(-10). Factor 0*f + 2/3*f**3 + 0 + 2/9*f**4 + 4/9*f**c.
2*f**2*(f + 1)*(f + 2)/9
Suppose -2/7*s**2 + 100/7*s - 1200/7 = 0. What is s?
20, 30
Let s be 378*(41652/756 - 55). Find u such that -1/4*u**3 - s - 25/4*u**2 - 42*u = 0.
-12, -1
Let f(k) = 8*k**2 - 652*k + 668. Let a(q) = 7*q**2 - 651*q + 664. Let g(c) = -6*a(c) + 5*f(c). Let g(j) = 0. What is j?
1, 322
Let q = -5 - -8. Suppose -4*l + 4 = h, 0*l - 2*l - q*h - 8 = 0. What is m in 3 + 2 - 3*m**2 - 3 + m**l = 0?
-1, 1
Let b be -68 - (15350/(-125) + -22). Suppose -b*t + 192/5*t**3 - 32/5 + 16/5*t**2 - 2/5*t**4 - 24/5*t**5 = 0. What is t?
-2, -1/12, 2
Let -172/5*o - 167 - 1/5*o**2 = 0. Calculate o.
-167, -5
Suppose 0 = -7*d - 9 + 44. Factor -5*o**3 - 81*o**2 + 8 - 31 + d*o + 76 + 52 - 24*o**2.
-5*(o - 1)*(o + 1)*(o + 21)
Let d = -25/3252 - -6629/16260. Suppose 0 - d*a**2 + 16/5*a = 0. Calculate a.
0, 8
Let v = -16025/37 - -8101427/18648. Let w = v + 1/504. Factor -56/3*o - w*o**2 - 196/3.
-4*(o + 7)**2/3
Let w be -82*4/(-8) + -3. Let r = 40 - w. Factor 0*i**4 + i**4 - 2*i**3 - 103*i**2 + 100*i**r.
i**2*(i - 3)*(i + 1)
Factor -k**2 - 45 + 53/2*k - 1/2*k**3.
-(k - 5)*(k - 2)*(k + 9)/2
Suppose -5258*l**2 - 567*l**3 - 5574*l**2 - 22077*l**2 + 6989*l**2 + 82944*l - 3*l**4 = 0. What is l?
-96, 0, 3
Let a be (-1)/((2 - 2) + -5). Let h be -11 - -16 - ((-14)/21)/(4/(-12)). What is l in a*l**2 + 2/5*l + 0 - 1/5*l**h = 0?
-1, 0, 2
Suppose -147 = 4*s - 23. Let z = 34 + s. What is n in -n - 8*n**4 - n - z*n**3 - 15*n**3 - 13*n**