r n(h).
-3*(h + 3)**2/2
Let m = 96 - 96. Let i(l) be the third derivative of -3*l**2 - 1/80*l**6 + 1/32*l**4 + m + 1/8*l**3 + 1/280*l**7 + 0*l - 1/40*l**5 + 1/448*l**8. Factor i(a).
3*(a - 1)**2*(a + 1)**3/4
Let r(w) be the third derivative of 0*w**3 - 14*w**2 - 2/105*w**5 + 13/210*w**6 + 5/588*w**8 + 0*w + 0*w**4 - 32/735*w**7 + 0. Find y such that r(y) = 0.
0, 1/5, 1, 2
Factor 2/13*u**2 - 24/13*u + 2/13*u**3 + 0.
2*u*(u - 3)*(u + 4)/13
Let j(d) be the third derivative of d**6/90 + 53*d**5/120 - 47*d**4/36 + 7*d**3/12 + 955*d**2. Find w, given that j(w) = 0.
-21, 1/8, 1
Suppose -37*a + 249 = -5*y, y + 2*a - 60 = -44. Find z such that 48/13 + 2/13*z**y + 28/13*z = 0.
-12, -2
Let p(r) be the third derivative of -r**7/1260 + r**6/90 - r**5/15 - r**4/12 - r**3/3 + 236*r**2. Let a(y) be the second derivative of p(y). Factor a(c).
-2*(c - 2)**2
Let r(d) be the first derivative of -d**5/180 - 25*d**4/18 - 1250*d**3/9 + 3*d**2/2 + 8*d - 140. Let w(j) be the second derivative of r(j). Factor w(k).
-(k + 50)**2/3
Let i = 372554 - 1490215/4. Factor 0 + 0*l**3 + 0*l - 1/4*l**2 + i*l**4.
l**2*(l - 1)*(l + 1)/4
Let l(n) be the second derivative of -n**4/4 - 25*n**3/2 - 69*n**2 + 498*n. Find f, given that l(f) = 0.
-23, -2
Solve -1/6*r**5 + 0 + 0*r**4 + 10*r**2 + 25/6*r**3 + 6*r = 0.
-3, -2, -1, 0, 6
Let m(v) be the second derivative of 3*v**5/20 + 23*v**4/4 - 54*v**3 + 127*v - 1. Factor m(t).
3*t*(t - 4)*(t + 27)
Factor -1/5*t**2 - 11/5*t + 12.
-(t - 4)*(t + 15)/5
Let a(b) be the first derivative of 13*b**4/4 - 93*b**3/2 + 21*b**2 + 168*b + 6. Let n(c) be the first derivative of a(c). Factor n(r).
3*(r - 7)*(13*r - 2)
Let h(x) be the first derivative of -5*x**4/4 + 245*x**3/3 + 5*x**2/2 - 245*x - 487. Solve h(c) = 0.
-1, 1, 49
Let n be (-2)/(-12) + 339/18. Solve 36*v + v**3 - 4*v + 12*v**4 - 12*v**3 + 16*v**2 - 10*v**3 - n*v**3 = 0 for v.
-2/3, 0, 2
Let m(d) = d**3 + 2*d + 16. Let n be m(0). Suppose 3*k = 2*h - h - n, 0 = k + 4. Factor 38*o**h - 6*o**5 + 2*o**2 - 4*o + o**3 + 21*o**3 + 20*o**5 + 8*o**3.
2*o*(o + 1)**3*(7*o - 2)
Let q = 11/117 + -229/4095. Let s(d) be the third derivative of 2/21*d**3 + 1/84*d**4 - q*d**5 + 0 + 1/84*d**6 + 0*d + 5*d**2. Factor s(x).
2*(x - 1)**2*(5*x + 2)/7
Let o(x) = 35*x**2 + 61*x - 640. Let v(r) = 237*r**2 + 426*r - 4482. Let s(f) = 27*o(f) - 4*v(f). Determine p so that s(p) = 0.
-27, 8
Let k(c) = -5*c**4 + 30*c**3 - 69*c**2 + 71*c - 27. Let s(n) = -2*n**4 + 3*n**3 - 1. Let l(x) = 2*k(x) - 6*s(x). Factor l(j).
2*(j - 1)**3*(j + 24)
Let z be (-1)/((-12)/(-40) - 1). Let s be 12/(-21) - (-3 - -2). Let -s*d**5 + 10/7*d**4 - z*d**2 + 0*d**3 + 0 + 3/7*d = 0. Calculate d.
-1, 0, 1/3, 1, 3
Suppose 11 = 3*b - 2*a, -4084*b + 4081*b + 19*a + 28 = 0. What is q in 5/2*q**4 - 17/2*q**3 + 0 + 0*q + b*q**2 = 0?
0, 2/5, 3
Let m(d) be the second derivative of d**5/30 - 5*d**4/12 + 19*d**2 + 98*d. Let n(k) be the first derivative of m(k). Factor n(s).
2*s*(s - 5)
Let h = 144081 - 1008565/7. What is a in -5/7*a**4 - 6/7*a**3 + a + h*a**2 + 3/7 - 1/7*a**5 = 0?
-3, -1, 1
Let r(k) = -k**2 - 60*k - 195. Let i(w) = 15*w**2 + 963*w + 3120. Let u(s) = -2*i(s) - 33*r(s). Factor u(n).
3*(n + 5)*(n + 13)
Let a(t) be the first derivative of 7*t**3/5 - 54*t**2/5 - 807. Factor a(l).
3*l*(7*l - 36)/5
Determine h so that -273/4*h + 1/4*h**2 + 271/2 = 0.
2, 271
Let g = -86 - -345/4. Let v = 290 + -288. Suppose 1/2*z**v + 1/4*z - 1/2 - g*z**3 = 0. What is z?
-1, 1, 2
Let u = -46 + 54. Let i(m) = -42*m**3 - 40*m**2 - 14*m - 8. Let z(w) = 28*w**3 + 27*w**2 + 9*w + 5. Let h(j) = u*z(j) + 5*i(j). Determine n so that h(n) = 0.
-1, -1/7, 0
Let v = 7421 - 7418. Let d(q) be the third derivative of -3/50*q**5 - 11*q**2 - 4/15*q**v - 1/1050*q**7 + 1/6*q**4 + 7/600*q**6 + 0 + 0*q. Factor d(w).
-(w - 2)**3*(w - 1)/5
Find u, given that 2/13*u**3 + 0 - 74/13*u**2 + 204/13*u = 0.
0, 3, 34
Suppose -4*q - 5*b = -4 - 16, b = -2*q + 4. Let i be q - (-29)/7 - (-113)/(-791). What is x in 4/3*x**2 - i + 2/3*x**3 - 10/3*x = 0?
-3, -1, 2
Suppose -15*o + 17 - 47 = 0. Let q(d) = -d**4 - 138*d**3 - 127*d**2 + 10. Let w(k) = -k**4 - 69*k**3 - 64*k**2 + 4. Let i(r) = o*q(r) + 5*w(r). Factor i(t).
-3*t**2*(t + 1)*(t + 22)
Let l be 146/6 - (21/9 - 2). Factor 8*d - 2332*d**2 - l*d + 24 + 2334*d**2.
2*(d - 6)*(d - 2)
Find z, given that 9248/5*z + 272/5*z**2 + 2/5*z**3 + 0 = 0.
-68, 0
Let f = 6 + -6. Suppose -4 = -2*q - f*q. Factor 5*b**3 - 2*b**3 - 29*b**q + 26*b**2.
3*b**2*(b - 1)
Let a(w) = 4*w**2 + 13*w - 10. Let s be a(-6). Find n such that -5*n**2 + 2*n - 5*n**2 + s + 6*n**2 + 50*n = 0.
-1, 14
Let f(t) be the first derivative of t**7/112 + t**6/20 - t**4/2 - t**3 - 39*t + 262. Let j(c) be the first derivative of f(c). Solve j(v) = 0 for v.
-2, 0, 2
Let j = 5133 - 718617/140. Let t(o) be the second derivative of -10*o + 0 - j*o**5 - 1/7*o**3 - 12/7*o**2 + 5/28*o**4. Let t(z) = 0. Calculate z.
-1, 2, 4
Let k(w) = 6*w**3 + 353*w**2 + 1137*w + 760. Let h(j) = -2*j**3 - 178*j**2 - 568*j - 380. Let d(o) = 5*h(o) + 2*k(o). What is f in d(f) = 0?
-2, -1, 95
Determine w so that 28/13 - 2/13*w**2 - 10/13*w = 0.
-7, 2
Let h(a) be the third derivative of -22*a**2 + 0*a + 0 - 1/60*a**5 + 3*a**3 - 7/24*a**4. Factor h(g).
-(g - 2)*(g + 9)
Let q(r) be the third derivative of -r**7/840 + 19*r**6/960 + 131*r**5/480 - 35*r**4/96 - 2206*r**2. Find s such that q(s) = 0.
-5, 0, 1/2, 14
Let o be 8/6 + 1 + 1. Suppose 6*p + 22 = 10*p + 5*d, -p + 4*d - 5 = 0. Factor -8/3 + o*w**2 + 8/3*w - 2*w**p.
-2*(w - 2)*(w + 1)*(3*w - 2)/3
Let v(w) be the first derivative of 18*w + 6*w**2 + 2/3*w**3 - 75. Factor v(u).
2*(u + 3)**2
Let o(f) = 121*f - 5537. Let i be o(47). Suppose i + 20*m + 2/3*m**2 = 0. Calculate m.
-15
Let v = 197766 + -197763. Factor -9/2*g**4 + 0*g + 0*g**2 - 5/2*g**v + 0 - 2*g**5.
-g**3*(g + 1)*(4*g + 5)/2
Let z = 43695 - 43693. Let 0 - z*n**2 - 2/9*n**5 + 2*n**3 + 2/9*n**4 + 0*n = 0. What is n?
-3, 0, 1, 3
Factor 257*p**2 - 96*p**2 - 140 - 191*p**2 + 284*p - 118*p**2 + 4*p**3.
4*(p - 35)*(p - 1)**2
Let x = -1194433 - -1194445. Factor 0*q + 0 - 3*q**3 - 3/2*q**4 + x*q**2.
-3*q**2*(q - 2)*(q + 4)/2
Let s(c) = 12*c**4 + c**3 - 2*c**2 - c - 1. Let k(b) = 49*b**4 + 553*b**3 - 2775*b**2 + 1667*b + 4982. Let u(o) = -k(o) + 4*s(o). What is i in u(i) = 0?
-554, -1, 3
Let f = -952 - -1023. Suppose 0 = -2*u - 3*z + 23, 66*u = f*u - 4*z. Factor -1 - 4*x**2 + 10/3*x - 1/3*x**u + 2*x**3.
-(x - 3)*(x - 1)**3/3
Let b(c) = c**3 + c**2 + c - 1. Let w(j) be the first derivative of j**4 + j**3 + j**2 - 2*j + 33. Let t(i) = 6*b(i) - 3*w(i). Determine r so that t(r) = 0.
-1/2, 0
Solve -2043 + 1024 + 1019 + 3660*y + 26*y**3 - 12820*y**2 + 9*y**3 = 0.
0, 2/7, 366
Let r(t) = -2*t**2 - 10*t - 10. Let d be r(-7). Let f = 38 + d. Factor f*a**2 + 4*a**2 - 8*a**2 - 9*a - 8*a**2 - 3*a**3.
-3*a*(a + 1)*(a + 3)
Let f = 47360 + -47356. Let l(o) be the second derivative of 1/90*o**5 + 5/9*o**3 + 1/6*o**f - 4 - 25/9*o**2 + o. Factor l(v).
2*(v - 1)*(v + 5)**2/9
Let u(n) be the third derivative of -n**6/78 - 19*n**5/390 - 184*n**2 - 5. Factor u(h).
-2*h**2*(10*h + 19)/13
Let r(o) = -o**2 - 4*o + 34. Let q be r(-8). Factor 11*j**2 - 6*j - j**2 - 9 - 11*j**q.
-(j + 3)**2
Let t(x) = x**3 + x**2 - 1. Let i(z) be the first derivative of -3*z**4/2 - 25*z**3/3 - 7*z**2 + 7*z + 67. Let f(b) = 3*i(b) + 6*t(b). Factor f(w).
-3*(w + 1)*(w + 5)*(4*w - 1)
Let a(f) be the second derivative of 11/10*f**4 + 1/70*f**7 - 2/25*f**6 - 9/100*f**5 - 2/5*f**3 + 10*f - 36/5*f**2 - 6. Suppose a(m) = 0. What is m?
-2, -1, 2, 3
Let c(i) be the third derivative of i**5/270 - 31*i**4/108 + 70*i**3/9 - 2722*i**2 + 2*i. Factor c(r).
2*(r - 21)*(r - 10)/9
Let i(t) = -2*t**2 - 57*t + 11. Let g be i(-26). Solve l**2 + 35*l + 4*l**2 - 81 + g = 0.
-4, -3
Let f be 2/((-7)/((-336)/(-36))*(310/30 + -11)). Factor -3/2*l**2 + 3/2*l**f + 0 + 3/2*l - 3/2*l**3.
3*l*(l - 1)**2*(l + 1)/2
Suppose 0 = -y + 13 - 16, -2239 = -2*i - 5*y. Let l = -1124 + i. Factor -4/3 - 1/3*s**l - 3*s - 2*s**2.
-(s + 1)**2*(s + 4)/3
Let x be (2/(-5))/((-918)/(-340) - 3). Let w(c) be the first derivative of -1/6*c**4 + 0*c + 8/9*c**3 - x*c**2 + 24. Factor w(j).
-2*j*(j - 2)**2/3
Let k(s) be the first derivative of 3*s**5/5 + 45*s**4/4 + 26*s**3 - 2131. Determine d, given that k(d) = 0.
-13, -2, 0
Le