0, 34
Let z(f) be the third derivative of -1/60*f**5 + 0 + f**2 + 0*f**4 - 1/360*f**6 - 5/3*f**3 + 0*f. Let j(l) be the first derivative of z(l). Factor j(a).
-a*(a + 2)
Let h(f) = -f**2 + 33*f - 113. Let t be h(29). Let q = -1893/7 + 271. Factor 0*p - q*p**2 + 2/7 + 2/7*p**4 + 0*p**t.
2*(p - 1)**2*(p + 1)**2/7
Let h(w) = -5*w**3 - 176*w**2 - 353*w - 166. Let z(f) = 5*f**3 + 175*f**2 + 355*f + 165. Let q(v) = 5*h(v) + 4*z(v). Factor q(o).
-5*(o + 1)**2*(o + 34)
Let v(n) be the third derivative of n**5/14 + n**4/3 - 4*n**3/21 + 30*n**2. Suppose v(z) = 0. Calculate z.
-2, 2/15
Let i be 5/6 + 605/330. Let n(z) be the first derivative of -18*z**2 + 8*z - i*z**3 + 9*z**4 - 9. Solve n(c) = 0 for c.
-1, 2/9, 1
Let h(b) = -b**2 - 4*b - 1. Let q = -10 - -7. Let l be h(q). Factor 5 + 6*r**2 - 12*r + 7 - r**2 - l*r**2.
3*(r - 2)**2
Let q(k) = 11*k + 15*k + 30 - 22*k. Let i be q(-7). Factor -2/11*b**3 + 4/11 + 2/11*b - 4/11*b**i.
-2*(b - 1)*(b + 1)*(b + 2)/11
Let a = -88 + 95. Suppose -o = -a + 5. Determine n, given that -8/7*n + 4/7*n**3 + 6/7*n**o - 8/7 - 2/7*n**4 = 0.
-1, 2
Let f(j) be the third derivative of 18*j**2 + 1/30*j**5 + 2/9*j**3 - 1/360*j**6 + 0*j + 0 - 1/8*j**4. Factor f(n).
-(n - 4)*(n - 1)**2/3
Let k(w) be the second derivative of w**5/10 + 3*w**4/4 + 2*w**3 + 2*w**2 - w + 38. Factor k(x).
(x + 2)**2*(2*x + 1)
Let j(i) = -4*i**3 - 15*i**2 - 9*i - 49. Let f be j(-4). Let n(l) = -l + 1. Let p be n(1). Factor 0*o**2 + 0 - o**f + p*o - 3/2*o**4 - 1/2*o**5.
-o**3*(o + 1)*(o + 2)/2
Let s(b) be the second derivative of b**6/120 - b**5/80 - b**4/48 + b**3/24 - 67*b. Find p such that s(p) = 0.
-1, 0, 1
Let o(a) = -328*a + 12139. Let z be o(37). Factor -2/9*p**z - 2/9*p + 4/3 - 8/9*p**2.
-2*(p - 1)*(p + 2)*(p + 3)/9
Let d(q) be the first derivative of -15*q**4 - 5*q**3 - q**5 + 1 + 37*q**4 - 17*q**4 - 2. Let d(h) = 0. What is h?
0, 1, 3
Let w(r) be the second derivative of 0*r**3 + 6*r + 0*r**4 + 7/45*r**6 + 0*r**2 + 0 + 1/15*r**5. Solve w(i) = 0 for i.
-2/7, 0
Let g be 2/24 + 2714/1416. Let s(k) be the second derivative of 0 - g*k + 1/28*k**4 + 5/14*k**3 + 6/7*k**2. Factor s(x).
3*(x + 1)*(x + 4)/7
Let v = -6 - -10. Factor 28*y**v - 26*y**4 + 26*y**2 - 4*y**3 - 12*y**3 - 12*y.
2*y*(y - 6)*(y - 1)**2
Let t(n) = -12*n - 67. Let d be t(-9). Let x = -41 + d. Factor -3*u**2 - 27/5*u**3 - 21/5*u**4 - 3/5*u - 6/5*u**5 + x.
-3*u*(u + 1)**3*(2*u + 1)/5
Determine v, given that -6*v**2 + 5*v**3 + v**2 - 186 + 231 - 45*v = 0.
-3, 1, 3
Let 2*y**2 + 8/5 - 16/5*y - 2/5*y**3 = 0. Calculate y.
1, 2
Suppose 0 = -0*m - 6*m + 6. Let q be m/15*5*3/4. Determine b so that 0*b + 1/4*b**5 + 1/2*b**4 - 1/2*b**2 - q*b**3 + 0 = 0.
-2, -1, 0, 1
Let m = -4 - -4. Let d = -16 - -18. Factor 6*y**3 + m*y**d + 2*y**2 - 4*y**3.
2*y**2*(y + 1)
Let y(f) = 4*f - 13. Let m be y(-10). Let l = m - -55. Factor 0 + 6/7*s**l - 2/7*s**3 - 4/7*s.
-2*s*(s - 2)*(s - 1)/7
Let n be (-1)/(-7 + (-55)/(-10) - 0). Suppose n*o**2 + 4/9*o + 0 = 0. Calculate o.
-2/3, 0
Let -6*r**3 - 3/8*r**2 + 45/8*r**4 + 0 + 3/4*r = 0. What is r?
-1/3, 0, 2/5, 1
Let i be 1*(5 + -1)*(-45)/(-60). Let z be (-10)/(-3) + -2 + -1. Factor -2/3*h**i - 1/3*h**2 - 1/6*h**5 + 5/6*h + 2/3*h**4 - z.
-(h - 2)*(h - 1)**3*(h + 1)/6
Let r(i) be the first derivative of -i**4/10 - i**3/3 - i**2/5 + 104. Factor r(p).
-p*(p + 2)*(2*p + 1)/5
Let r be ((-24)/15)/4*-5. Let g(j) be the second derivative of 1/8*j**r + 1/48*j**4 + 2*j - 1/12*j**3 + 0. Let g(p) = 0. What is p?
1
Let t(w) = -15*w + 335. Let h be t(22). Let s(p) be the first derivative of -6 - 1/12*p**6 - 2/15*p**h + 1/9*p**3 + 0*p + 1/24*p**4 + 0*p**2. Factor s(j).
-j**2*(j + 1)**2*(3*j - 2)/6
Let b(v) be the second derivative of -v**6/35 + 3*v**4/14 - 2*v**3/7 - v + 16. Factor b(f).
-6*f*(f - 1)**2*(f + 2)/7
Let a(b) = 15*b**2 + b + 2. Let c be a(-1). Suppose -18 = -d - c. Factor 0 + 1/3*u**5 + 2*u**3 + 4/3*u**d + 1/3*u + 4/3*u**4.
u*(u + 1)**4/3
Suppose -1928 + 1914 = -7*z. Let h(r) be the second derivative of 1/6*r**4 + 0 + 9*r**2 - z*r**3 + 3*r. What is l in h(l) = 0?
3
Let o(l) be the second derivative of l**4/6 - 79*l**3/33 + 14*l**2/11 + 69*l. Solve o(y) = 0.
2/11, 7
Suppose 21 = -5*o + 21. Let t(p) be the first derivative of 1/18*p**4 - 2/45*p**5 + 3 + o*p**3 + 0*p**2 + 0*p. Factor t(f).
-2*f**3*(f - 1)/9
Let p = -27 + 68. Let k = p - 27. Determine i so that 12*i + k*i**3 - 18*i**2 - 24*i**3 - 3*i**4 - 3 + 22*i**3 = 0.
1
Let x be (-4)/(-6)*252/224. Find c such that 3/4*c**3 + 1/4*c + x*c**2 + 0 + 1/4*c**4 = 0.
-1, 0
Let h(s) be the first derivative of s**6/3 + 22*s**5/5 + 18*s**4 + 64*s**3/3 - 32*s**2 - 96*s - 824. Factor h(o).
2*(o - 1)*(o + 2)**3*(o + 6)
Suppose -10*i - 133 = -683. Suppose 26*f + f**2 - 1 + 7 + 34*f - i*f = 0. What is f?
-3, -2
Suppose 13 - 9 = 2*j. Let d(n) be the first derivative of 1 - 9/4*n**4 + 0*n + 0*n**3 + 6*n**j - 3/5*n**5. Find h such that d(h) = 0.
-2, 0, 1
Suppose 680 = 124*c + 12*c. Suppose -8/9 - 8/9*m - 2/9*m**4 + 10/9*m**2 + 10/9*m**3 - 2/9*m**c = 0. Calculate m.
-2, -1, 1, 2
Let h(r) = -r**3 - 114*r**2 + 250*r + 2091. Let f be h(-116). Determine v so that -1/2*v - 1/4*v**2 + 0 + 1/4*v**4 + 3/4*v**f - 1/4*v**5 = 0.
-1, 0, 1, 2
Factor 0 - 28/5*q + 1/5*q**2.
q*(q - 28)/5
Let k(j) be the first derivative of j**8/336 - j**7/84 + j**5/12 - 5*j**4/24 - 4*j**3 + 8. Let p(x) be the third derivative of k(x). Factor p(c).
5*(c - 1)**3*(c + 1)
Let z = 4 - 13. Let f = 11 + z. Factor -j**3 + j + j**2 - f + 3*j**2 - 2*j**2.
-(j - 2)*(j - 1)*(j + 1)
Let l = 3437/172 + -268/43. What is h in 65/4*h**3 - 45/4*h**2 - l*h**5 + 45/4*h**4 + 0 - 5/2*h = 0?
-1, -2/11, 0, 1
Let c(j) be the second derivative of 0*j**2 + 0*j**4 - 14*j + 0 - 2/35*j**6 + 0*j**3 + 3/140*j**5. Determine g, given that c(g) = 0.
0, 1/4
Let g(i) be the second derivative of i**6/240 + i**5/120 - i**4/24 - 11*i**2 - 19*i. Let r(o) be the first derivative of g(o). Determine v, given that r(v) = 0.
-2, 0, 1
Let b be 29/174*168/8. Factor -1/2*m**2 + 4 + b*m.
-(m - 8)*(m + 1)/2
Let r(u) be the second derivative of -u**9/20160 - u**8/8960 + 2*u**4 - 13*u. Let q(w) be the third derivative of r(w). Factor q(n).
-3*n**3*(n + 1)/4
Find m such that -295*m**2 - 7*m + 24 + m**3 + 27*m + 15*m + 307*m**2 = 0.
-8, -3, -1
Factor 355*z - 14*z**2 - 331*z + 15*z**2 + 6*z**3 - 29*z**2 - z**5 + 3*z**4.
-z*(z - 2)**3*(z + 3)
Let g = 10/359 + 1326/3949. Factor 8/11*q**2 - 10/11*q + g - 2/11*q**3.
-2*(q - 2)*(q - 1)**2/11
Factor 30*k**2 - 9*k**3 + 96*k + 70*k**2 + 13*k**3.
4*k*(k + 1)*(k + 24)
Let i(l) be the first derivative of -l**5/25 - 13*l**4/10 - 193*l**3/15 - 156*l**2/5 - 144*l/5 - 42. Factor i(v).
-(v + 1)**2*(v + 12)**2/5
Factor -63/2*c**2 + 0 - 12*c - 15/4*c**3.
-3*c*(c + 8)*(5*c + 2)/4
Suppose 0 = -3*n + 18*n - 60. Let c(w) be the second derivative of 0 + 0*w**4 - n*w + 0*w**3 + 0*w**2 + 1/135*w**6 + 1/90*w**5. Factor c(j).
2*j**3*(j + 1)/9
Let x = -11 - -11. Suppose x = -9*c + 4*c + 10. What is q in -11*q**4 + c*q**3 - 6*q**3 + q**4 - 4*q**4 = 0?
-2/7, 0
Let a(o) be the third derivative of o**8/336 + 2*o**7/105 - 7*o**5/30 - 17*o**4/24 - o**3 - 278*o**2 - o. Find d, given that a(d) = 0.
-3, -1, 2
Let z(v) be the second derivative of 25*v + 1/210*v**5 + 0 + 0*v**2 + 1/21*v**3 + 2/63*v**4. Suppose z(j) = 0. Calculate j.
-3, -1, 0
Let a(o) be the second derivative of 5/6*o**4 + 7*o - 7/3*o**3 + 0 + 2*o**2. Solve a(k) = 0.
2/5, 1
Let r(a) be the first derivative of -a**5/5 + 15*a**4/4 - 9*a**3 - 243*a**2/2 - 139. Determine b, given that r(b) = 0.
-3, 0, 9
Let n be ((-5)/(-10) - 0)*((8 - 12) + 4). Factor n*v + 3/8*v**2 - 3/2.
3*(v - 2)*(v + 2)/8
Suppose -2*m = -2*v - 6, -2*m = m + 2*v - 4. Factor -48*j + 5*j**2 + 52*j - j**m.
4*j*(j + 1)
Let y be (-65)/15*(2 + (-7)/5). Let l = y - -251/35. Determine g, given that 48/7*g**2 + l*g - 32/7 - 80/7*g**3 + 38/7*g**4 - 6/7*g**5 = 0.
-2/3, 1, 2
Let f(r) be the first derivative of -r**4/28 + 12*r**3/7 - 120*r**2/7 - 1600*r/7 - 367. Factor f(q).
-(q - 20)**2*(q + 4)/7
Let a = 20 - 21. Let s be (a/(4/24))/(-2). Factor -2*x - s*x**3 - 3*x + 3*x + 5*x.
-3*x*(x - 1)*(x + 1)
Let t(j) be the first derivative of 1/7*j**3 + 9 - 3/7*j**2 + 0*j. Factor t(g).
3*g*(g - 2)/7
Factor -24/11*n + 2 + 2/11*n**2.
2*(n - 11)*(n - 1)/11
Let c(x) be the second derivative of -x**5/60 + 