u**5/480 - 27*u**3 + 30*u. Let y(x) be the second derivative of s(x). Factor y(h).
h*(h - 1)**2*(h + 1)**2/4
Factor -1045*m**2 + 313289*m**3 - 313284*m**3 + 17237*m + 37883*m - 54080.
5*(m - 104)**2*(m - 1)
Let s(j) be the first derivative of j**4/8 + j**3/4 - 9*j**2 - 104*j + 174. Let y(w) be the first derivative of s(w). Factor y(q).
3*(q - 3)*(q + 4)/2
Suppose m - 8 = -13, 0 = u + 3*m + 13. Suppose 3 - 11 = -u*t. Factor -2/9 - 4/9*p**3 + 2/9*p + 2/9*p**5 - 2/9*p**t + 4/9*p**2.
2*(p - 1)**3*(p + 1)**2/9
Let r(d) = d**3 + 8*d**2 - 37*d + 28. Let v(j) = -15*j**3 - 129*j**2 + 591*j - 447. Suppose -2*u - 7*u = 18. Let t(p) = u*v(p) - 33*r(p). Factor t(l).
-3*(l - 2)*(l - 1)*(l + 5)
Suppose 5/2*z**3 - 364 - 145*z + 47/2*z**2 = 0. What is z?
-13, -2, 28/5
Find q, given that 274 - 11*q**2 - 136*q + q**2 - 10 + 13*q**2 - q**2 = 0.
2, 66
Let w(r) = -5*r**2 + 5*r. Let p(n) = 31*n**2 - 5852*n + 8473921. Let y(l) = -p(l) - 6*w(l). Factor y(g).
-(g - 2911)**2
Let z be 1307/6 - (-51)/306. Let s = -218 + z. Solve -1/2*v**2 + 7/2*v**3 + s + 0*v = 0 for v.
0, 1/7
Let h be 17 - 30 - (-141)/6. Let r(p) = p**3 - 4*p**2 + 4*p - 1. Let s be r(3). Find a such that 0 - 3*a - h*a**5 + 15/2*a**4 + 27/2*a**3 - 15/2*a**s = 0.
-1, -2/7, 0, 1
Let o(d) be the second derivative of d**5/30 - 5*d**4/9 - 58*d + 3. Factor o(x).
2*x**2*(x - 10)/3
Let a(g) be the first derivative of 2/35*g**5 - 2/7*g**2 + 0*g + 39 + 1/7*g**4 - 2/21*g**3. Factor a(p).
2*p*(p - 1)*(p + 1)*(p + 2)/7
Let 0 + 774/11*j**2 + 2/11*j**5 + 74/11*j**4 - 498/11*j**3 + 0*j = 0. Calculate j.
-43, 0, 3
Let m = 13 - 8. Factor h**4 + 7*h**5 - 5*h**4 + 33*h**3 - 3*h**m - 49*h**3 + 16*h**2.
4*h**2*(h - 2)*(h - 1)*(h + 2)
Factor -126 + 94*j - 2052*j**3 + 4103*j**3 + 100*j**2 + 33 - 2049*j**3 - 103.
2*(j - 1)*(j + 2)*(j + 49)
Let a(m) = 143*m**4 + 664*m**3 + 485*m**2 - 57*m. Let h(o) = -214*o**4 - 996*o**3 - 726*o**2 + 86*o. Let t(n) = 10*a(n) + 7*h(n). Suppose t(s) = 0. Calculate s.
-4, -1, 0, 2/17
Let x be 125/(-2700)*-9*1/20. Let s(b) be the third derivative of 0 + 0*b**3 - 1/80*b**6 + 1/40*b**5 - x*b**4 + 1/420*b**7 + 0*b + 24*b**2. Factor s(r).
r*(r - 1)**3/2
Suppose 4881 - 2498 = 999*x - 2420 - 3189. Let -2*t**2 + 8/3*t - 2/3*t**3 + x = 0. Calculate t.
-3, -2, 2
Suppose -1/7*d**3 + 39/7*d**2 + 0 - 248/7*d = 0. Calculate d.
0, 8, 31
Let l(h) be the first derivative of -3*h**5/40 - 345*h**4/16 + 697*h**3/8 - 699*h**2/8 - 11756. Suppose l(o) = 0. Calculate o.
-233, 0, 1, 2
Let l(f) be the first derivative of -144 - 9/4*f - 1/24*f**3 - 11/16*f**2. Factor l(n).
-(n + 2)*(n + 9)/8
Let y = 5974 + -5972. Let s(d) be the third derivative of 1/540*d**6 + 0*d - 1/30*d**5 - 16/27*d**3 + 0 + 14*d**y + 2/9*d**4. Factor s(h).
2*(h - 4)**2*(h - 1)/9
Let m(v) be the second derivative of -v**4/66 - 310*v**3/33 - 24025*v**2/11 - 166*v - 3. Factor m(h).
-2*(h + 155)**2/11
Let i(g) be the first derivative of -138 - 1/12*g**3 + 1/4*g + 1/16*g**4 - 1/8*g**2. Find p such that i(p) = 0.
-1, 1
Let c(j) be the third derivative of j**7/2 + 183*j**6/40 + 57*j**5/4 + 161*j**4/8 + 12*j**3 + 2*j**2 + 982. Determine o, given that c(o) = 0.
-3, -1, -8/35
Solve 0*u + 212*u**2 + 0 + 1/4*u**4 - 54*u**3 = 0 for u.
0, 4, 212
Let n(s) be the third derivative of s**7/1470 + 131*s**6/840 + 32*s**5/105 - 65*s**4/42 - 470*s**2. Find g, given that n(g) = 0.
-130, -2, 0, 1
Factor 80*o - 307*o**2 + 108*o + 2*o**3 + 148*o + 215*o**2.
2*o*(o - 42)*(o - 4)
Suppose -144 = 2*r - 4*r. Let m = r + -27. Solve 205 + 12*f**2 - 404 - m*f + 187 = 0.
-1/4, 4
Let r be -5 + -56*7/(-56). Let f(p) be the first derivative of -8/3*p**3 + 0*p + 2/3*p**6 - r*p**2 - 6 + 8/5*p**5 + 0*p**4. Factor f(u).
4*u*(u - 1)*(u + 1)**3
Let v be 58/(-16)*1/(1482/12). Let c = v - -7/52. Suppose 4/19 - c*t - 2/19*t**2 = 0. What is t?
-2, 1
Solve -75/4*r - 55/4*r**2 - 5/4*r**3 + 135/4 = 0 for r.
-9, -3, 1
Let b(u) be the first derivative of -1/6*u**4 - 16 + 3/50*u**5 + 1/5*u**2 + 1/15*u**3 + 16*u. Let g(d) be the first derivative of b(d). Solve g(m) = 0.
-1/3, 1
Let d(q) = 42*q - 656. Let c be d(32). Let a = c - 670. What is x in -2/9*x**2 - 4*x - a = 0?
-9
Let v(c) be the second derivative of 125*c**7/12 - 190*c**6/3 - 717*c**5/8 + 1465*c**4/12 + 745*c**3/3 + 150*c**2 - 6749*c. Determine n so that v(n) = 0.
-6/7, -2/5, 1, 5
Let b be 14/1470*18*2/(3 - -3). Let z(j) be the first derivative of -b*j**5 + 1/7*j**4 + 8/21*j**3 - 8/7*j**2 + 4 + 0*j. Factor z(v).
-2*v*(v - 2)**2*(v + 2)/7
Let u(b) be the first derivative of -25*b**3/3 + 4885*b**2/2 - 1950*b - 158. Suppose u(p) = 0. Calculate p.
2/5, 195
Suppose -40*j + 32 = -32*j. Suppose 2*g - j*g**3 - 371 + 371 + 2*g**2 = 0. Calculate g.
-1/2, 0, 1
Suppose 0*n + i = 2*n - 14, 18 = 3*n - 3*i. Let 4*j**3 + 24 - 23*j**4 + 14*j**2 - 40*j + n*j**4 + 7*j**4 + 6*j**4 = 0. Calculate j.
-3, 1, 2
Factor -304/9*x - 160/9*x**2 - 4/9*x**3 + 0.
-4*x*(x + 2)*(x + 38)/9
Let c(w) be the first derivative of 0*w**2 + 27 + 0*w**3 - 1/10*w**5 + 22*w - 1/3*w**4. Let d(b) be the first derivative of c(b). Factor d(k).
-2*k**2*(k + 2)
Suppose 4*k**5 - 46640*k - 3*k**5 - 15*k**3 - 13*k**3 + k**5 + 24 + 46666*k - 24*k**2 = 0. What is k?
-3, -1, 1, 4
Factor -66/5 - 2/5*c**2 + 68/5*c.
-2*(c - 33)*(c - 1)/5
Let r = -42 + 32. Let k(a) = 12*a**4 - 99*a**3 + 176*a**2 + 32*a. Let v(p) = 6*p**4 - 49*p**3 + 88*p**2 + 16*p. Let l(f) = r*v(f) + 4*k(f). Factor l(s).
-2*s*(s - 4)**2*(6*s + 1)
Let p(s) be the third derivative of s**6/480 - 9*s**5/10 - 655*s**4/96 - 73*s**3/4 - 4739*s**2. Factor p(a).
(a - 219)*(a + 1)*(a + 2)/4
Let g(z) = 3*z**2 - 19*z - 18. Let b be g(-1). Suppose -13 = b*a - 29. Factor -s - 3/2 + 2*s**2 - 1/2*s**a + s**3.
-(s - 3)*(s - 1)*(s + 1)**2/2
Let p = -2467683/4 - -616921. Factor -9/4*c + 2 + p*c**2.
(c - 8)*(c - 1)/4
Let d be (-48985)/(-606)*(108/48)/((-15)/(-2)). Suppose -d*t**3 + 21/4*t**4 + 0 + 27/2*t**2 - 2*t = 0. Calculate t.
0, 2/7, 1/3, 4
Let x(u) = 4*u**2 + 97*u + 440. Let n be x(-6). Let m(o) be the first derivative of 32/9*o - 1/2*o**4 + 2/45*o**5 - 21 - 4*o**n + 56/27*o**3. Factor m(p).
2*(p - 4)*(p - 2)**2*(p - 1)/9
Suppose -21*m - 20 = -26*m. Suppose 0 = -3*l + m*u, 6*u = -4*l + 9*u. Factor l - 2/5*q**2 + 18/5*q.
-2*q*(q - 9)/5
Let i(a) be the third derivative of -49*a**6/30 - 14*a**5 - 75*a**4/2 - a**2 + 8135. What is j in i(j) = 0?
-15/7, 0
Let x(b) be the second derivative of -7*b**6/30 + 19*b**5/20 + b**4/2 + 92*b + 3. Find f, given that x(f) = 0.
-2/7, 0, 3
Let n(r) be the first derivative of -6*r**5/35 - 35*r**4/2 + 1166*r**3/21 - 419*r**2/7 + 24*r + 478. Suppose n(i) = 0. What is i?
-84, 1/3, 1
Suppose -4*v + 2*v = m - 14, 0 = 5*m - 4*v - 112. Let s be (m/(-4) - -3*5)/8. Solve 0 - 17/4*w**3 - 4*w**2 + w**4 + s*w = 0.
-1, 0, 1/4, 5
Factor -5*s**4 + 169*s**3 + 4860 - 106*s**2 + 126*s**3 - 210*s**3 - 1485*s - 149*s**2.
-5*(s - 9)**2*(s - 3)*(s + 4)
Solve -1/3*y**2 + 7/3*y + 10 = 0 for y.
-3, 10
Let p(b) = -3*b**3 - 185*b**2 - 120*b + 126. Let m be p(-61). Let z be m*7/98*3. Let 2/7*v**5 - 4/7*v + 6/7*v**4 + 0 + 2/7*v**3 - z*v**2 = 0. Calculate v.
-2, -1, 0, 1
Let r(t) = -2*t**2 - t + 3. Let p(n) = -n**3 - 21*n**2 - n - 19. Let a be p(-21). Let m(o) = -o**2 + o. Let j(s) = a*r(s) - 2*m(s). Factor j(f).
-2*(f - 1)*(f + 3)
Suppose z = -0*z - 3*d + 132, -2*z + 2*d = -232. Factor 391 + 602 - 273 + 5*t**2 + z*t.
5*(t + 12)**2
Let r(i) = -8*i**3 + i**2 - 5*i + 2. Let c be r(1). Let t be (-8 + (-660)/(-84))*c. Factor -8/7 + 2/7*p**3 - t*p**2 + 16/7*p.
2*(p - 2)**2*(p - 1)/7
Let i(m) be the second derivative of -m**7/84 - 11*m**6/4 - 1311*m**5/8 + 20665*m**4/24 - 1750*m**3 + 1764*m**2 + 35*m. Factor i(z).
-(z - 1)**3*(z + 84)**2/2
Find v, given that 32*v**4 - 2821 - 21280*v + 15997 + 2280*v**2 + 250*v**3 + 21*v**4 + 18184 - 48*v**4 = 0.
-28, 2, 4
Let w(o) = -19*o**4 - 1880*o**3 + 172938*o**2 + 714394*o + 722006. Let r(h) = -4*h**4 + 3*h**2 - h + 1. Let g(n) = -6*r(n) + w(n). Find t, given that g(t) = 0.
-2, 190
Suppose 0 = 2*i - 4*y - 60, 2*y = -2*i - 13 + 79. Suppose 0 = 60*n - 56*n - i. Find g such that -99*g**2 + 101*g**2 - n + 0 - g**3 + 4*g = 0.
-2, 2
Let w(n) be the third derivative of n**5/20 - 10*n**4 + 350*n**3 - 2089*n**2. Suppose w(v) = 0. What is v?
10, 70
Let -290/7*h + 2/7*h**3 - 2/7*h**2 - 286/7 = 0. Calculate h.
-11, -1, 13
Let t(s)