tive of -c**6/135 - c**5/10 - c**4/2 - c**3 - 10*c. Factor n(a).
-2*a*(a + 3)**3/9
Let k = 1791 - 1788. Let w(y) be the third derivative of 1/3*y**3 + 0 - 1/6*y**4 + 1/30*y**5 - k*y**2 + 0*y. Factor w(u).
2*(u - 1)**2
Suppose 5*r = -r + 18. Let 4*t**r - 7*t**2 - 15*t**5 - 2 + 159*t - 28*t**4 + 37*t**2 - 148*t = 0. Calculate t.
-1, 2/15, 1
Suppose 40 = 9*u - 12*u + t, 2*t + 10 = 0. Let l be u/(-28) - ((-11)/4 + 3). Factor -8/7*f**4 + 0*f + 0 - 4/7*f**2 + l*f**5 + 10/7*f**3.
2*f**2*(f - 2)*(f - 1)**2/7
Let q(i) be the first derivative of 3*i**5/20 - i**4/2 + i**3/2 + 11*i - 2. Let b(k) be the first derivative of q(k). Factor b(w).
3*w*(w - 1)**2
Let u(p) be the third derivative of -p**6/120 + 7*p**5/12 - 67*p**4/24 + 11*p**3/2 + 113*p**2. Factor u(b).
-(b - 33)*(b - 1)**2
Let p(t) = -t**2 - 11*t - 12. Let r be p(-10). Let k = 24 + r. Let 1 - 2*s**2 + 12*s + 4 - 1 - k = 0. Calculate s.
3
Let a(g) = -g**2 - 7*g - 6. Let c be a(-7). Let h = -4 - c. Suppose -7*u**2 + 13*u**h + 6*u - 9*u**2 = 0. Calculate u.
0, 2
Let z(d) = -4*d**2 + 13*d - 9. Let f(r) = r - 1. Let o(k) = 4*f(k) - z(k). Let q(h) = 12*h**2 - 28*h + 16. Let g(y) = 8*o(y) - 3*q(y). Factor g(s).
-4*(s - 2)*(s - 1)
Factor 51477*s**2 - 1781*s + 183968*s**2 + 6121*s + 20.
5*(217*s + 2)**2
Suppose -5 = 5*o - 35. Let j(n) = 2*n + 7. Let x be j(o). Let -x + 2*i**2 + 19 - 2*i**4 - i**5 + i = 0. What is i?
-1, 0, 1
Solve 2 + 16*d**2 - 11*d**2 - 12 - 45*d + 50 = 0.
1, 8
Let c(t) be the third derivative of -7/180*t**5 + 0*t - 4*t**2 - 1/120*t**6 + 0 - 1/18*t**3 - 5/72*t**4. Factor c(s).
-(s + 1)**2*(3*s + 1)/3
Let b(g) be the third derivative of -g**6/30 + 76*g**5/15 - 455*g**4/2 - 2028*g**3 - 402*g**2. Factor b(r).
-4*(r - 39)**2*(r + 2)
Factor -x + 11 - 3 - 14 - 6 + x**2.
(x - 4)*(x + 3)
Let j(f) = 26*f**3 + 15*f**2 - 41*f. Let k(t) = 5*t**3 + 3*t**2 - 8*t. Let s(p) = -2*j(p) + 11*k(p). Determine m, given that s(m) = 0.
-2, 0, 1
Let z(m) = -3*m**2 + 11*m - 6. Let f(d) = -1. Let n(r) = 2*f(r) - z(r). Let i(q) = -3*q**2 + 12*q - 3. Let g(c) = 2*i(c) + 3*n(c). Solve g(s) = 0.
1, 2
Factor p**3 + p**4 - 3*p**4 + 3*p**4.
p**3*(p + 1)
Let b(p) = -p**2 + 36*p + 41. Suppose -3*k + 57 = -54. Let t be b(k). Factor 14/9*u**3 - 2/9*u**4 - 16/9 + 40/9*u - t*u**2.
-2*(u - 2)**3*(u - 1)/9
Let z(h) be the first derivative of -2*h**3/21 - 5*h**2/7 - 326. Factor z(j).
-2*j*(j + 5)/7
Let q be ((-3)/(18/(-4)))/((-70)/(-21)). Suppose 1/5*c**3 - q*c**2 + 4/5 - 4/5*c = 0. What is c?
-2, 1, 2
Let o = -36 - -44. Suppose -o*g = -2*g - 12. Factor -3/5*c**g + 12/5*c - 12/5.
-3*(c - 2)**2/5
Determine q so that 0 + 0*q**2 - 1/3*q**3 + 4/3*q = 0.
-2, 0, 2
Let n = 3883/810 - -1/162. Suppose -12/5 - n*s + 3*s**2 = 0. Calculate s.
-2/5, 2
What is o in 3 - 29*o - o - 39*o + 768*o**2 - 27*o = 0?
1/16
Let b(o) be the second derivative of o**6/15 + 3*o**5/5 - 4*o**4 + 26*o**3/3 - 9*o**2 + 116*o. Factor b(u).
2*(u - 1)**3*(u + 9)
Let a = -9312/10219 - -2/929. Let v = -49/66 - a. Find q such that -v*q**4 + 0*q**3 + 0*q - 1/6 + 1/3*q**2 = 0.
-1, 1
Let k(x) be the second derivative of -1/10*x**5 + 20*x + 0*x**2 - 1/3*x**4 + 0 - 1/3*x**3. Factor k(h).
-2*h*(h + 1)**2
Suppose -z - 8 = -2*m, 28 = 2*z + 2*z + 4*m. Factor -4*b**4 - 6*b**4 - b**5 + 8*b**2 + z*b**4 + 5*b**5 - 4*b.
4*b*(b - 1)**3*(b + 1)
Let x = 44 + -28. Suppose -l + x = -5*t + l, -5*l = 10. Let c(y) = -y**2 - y + 1. Let z(i) = 11*i**2 + 36*i - 11. Let p(f) = t*c(f) + z(f). Factor p(b).
5*(b + 3)*(3*b - 1)
Factor 36/17*h - 2/17*h**2 - 162/17.
-2*(h - 9)**2/17
Let k be 0/(8 - 5) - (-400)/75. Factor k - 16/3*o + 4/3*o**2.
4*(o - 2)**2/3
Let d(o) be the first derivative of 0*o + 0*o**3 + 0*o**2 + 37 + 1/40*o**5 + 1/16*o**4. Factor d(h).
h**3*(h + 2)/8
Let g = 27/71 - 101/639. Factor 0 + 2/9*k + g*k**3 + 4/9*k**2.
2*k*(k + 1)**2/9
Suppose -4*c + 4 = -8, 4*o - 4*c + 8 = 0. Let s(f) = -f**4 + f**3 + 4*f**2 + 4*f + 4. Let k(g) = g**2 + g + 1. Let h(a) = o*s(a) - 4*k(a). Solve h(q) = 0 for q.
0, 1
Let u be 6 + (-17 - -6) - 22/(-4). Let h(d) be the third derivative of 1/20*d**5 + 0 - 1/4*d**4 + u*d**3 - d**2 + 0*d. Let h(a) = 0. Calculate a.
1
Let g(j) be the second derivative of 2/5*j**2 - 1/100*j**5 - 1/60*j**4 + 23*j + 0 + 2/15*j**3. Let g(o) = 0. Calculate o.
-2, -1, 2
Let q(n) be the first derivative of -2*n**3/15 - 18*n**2/5 - 34*n/5 - 76. Factor q(o).
-2*(o + 1)*(o + 17)/5
Factor -114/11*b**2 + 2/11*b - 2/11*b**3 + 114/11.
-2*(b - 1)*(b + 1)*(b + 57)/11
Let k(u) be the first derivative of 2/35*u**5 + 3/14*u**4 - 2/7*u**2 - 1/21*u**6 - 16 - 2/21*u**3 + 0*u. What is a in k(a) = 0?
-1, 0, 1, 2
Let o(f) be the third derivative of -f**6/24 - f**5/4 - f**2 - f. Determine t so that o(t) = 0.
-3, 0
Suppose -3*c = -15, c = 3*u - 2*c. Factor 14*q**3 + 17*q**2 - 23*q**2 + 6*q**4 + 2*q**u - 12*q**3 - 4*q.
2*q*(q - 1)*(q + 1)**2*(q + 2)
Factor 2/7*d**2 - 30/7*d - 32/7.
2*(d - 16)*(d + 1)/7
Suppose -14 = 7*d + 35. Let u be 56/20*(-6)/d. Factor 3*l - u*l**2 + 3/5*l**3 - 6/5.
3*(l - 2)*(l - 1)**2/5
Let j(l) be the second derivative of l**9/90720 + l**8/20160 + 13*l**4/6 - 24*l. Let r(f) be the third derivative of j(f). Factor r(w).
w**3*(w + 2)/6
Suppose 2*w = -d - 9, d + 13 = -w - 2*w. Let s be 12/30*(-6)/w. Factor -18/5*f**3 - 3/5*f - s*f**5 - 12/5*f**4 + 0 - 12/5*f**2.
-3*f*(f + 1)**4/5
Let x = -51 + 117. Let o = -66 + x. Suppose 4/5*w**3 - 3/5*w**2 - 1/5*w + o = 0. Calculate w.
-1/4, 0, 1
Let r(b) be the first derivative of -b**9/13608 + b**7/1260 + b**6/810 + b**3 + 4. Let q(s) be the third derivative of r(s). Find h such that q(h) = 0.
-1, 0, 2
Let g(y) = -26*y**2 - 455*y + 463. Let o(w) = 33*w**2 + 455*w - 464. Let d(i) = 4*g(i) + 3*o(i). Let d(k) = 0. Calculate k.
-92, 1
Let m(q) be the first derivative of 3*q**6/10 + 29*q**5/15 + 4*q**4 + 8*q**3/3 - 7*q**2/2 + 12. Let i(k) be the second derivative of m(k). Factor i(c).
4*(c + 1)*(c + 2)*(9*c + 2)
Find d such that 58 - 12*d**2 + 6*d**3 + 101 + 61 + 84*d - 140 - 38*d**2 = 0.
-2/3, 4, 5
Suppose 2/3*z**3 - 26/3*z**2 + 0 + 8*z = 0. Calculate z.
0, 1, 12
Determine h, given that -3*h - 5325 - h**2 + 5325 = 0.
-3, 0
Let v(x) be the third derivative of x**5/270 + 2*x**4/9 + 16*x**3/3 - 3*x**2 - 18. Find a, given that v(a) = 0.
-12
Let r(s) = 20*s**3 - 110*s**2 + 35*s - 11. Let y(h) = h**3 + h - 1. Let k(f) = -2*r(f) + 22*y(f). Determine o so that k(o) = 0.
0, 2/9, 12
Let k be ((44/(-99))/(-2))/(2/18). Factor 0 - 12/5*u**k + 18/5*u + 2/5*u**3.
2*u*(u - 3)**2/5
Solve 1/6*s**2 + 13/2*s + 0 = 0 for s.
-39, 0
Suppose -147/4 - 153/4*k**2 - 3/4*k**3 - 297/4*k = 0. What is k?
-49, -1
Let v(h) be the first derivative of 27/28*h**4 + 37 + h**3 - 30/7*h**2 + 12/7*h. Let v(a) = 0. Calculate a.
-2, 2/9, 1
Suppose k = 5*b - 33, -3*k + 5*b - 136 = -7. Let d be k/(-36) - (-4)/6. Factor 9*y**d - 22*y + 7*y - 14 + 20.
3*(y - 1)*(3*y - 2)
Let r(m) be the second derivative of -m**5/4 + 5*m**4/4 - 10*m**2 - 2*m - 195. Determine t so that r(t) = 0.
-1, 2
Let d be 7 - -20*80/(-250). Factor 2/5*o + 0 - d*o**2 + 1/5*o**4 + 0*o**3.
o*(o - 1)**2*(o + 2)/5
Let l(x) = -142*x**3 + 163*x**2 - 18*x + 3. Let b(c) = 143*c**3 - 162*c**2 + 17*c - 2. Let u(z) = 3*b(z) + 2*l(z). Factor u(k).
5*k*(k - 1)*(29*k - 3)
Let y(j) = 3*j**4 + 34*j**3 - 82*j**2 + 32*j + 9. Let p(w) = 2*w**4 + w**3 - 2*w**2 + 2*w - 1. Let s(b) = -2*p(b) - y(b). Factor s(d).
-(d - 1)**2*(d + 7)*(7*d + 1)
Let p(v) be the first derivative of -1/24*v**3 + 1/4*v + 1/16*v**2 + 2. Factor p(c).
-(c - 2)*(c + 1)/8
Let z(i) be the third derivative of 14*i**2 + 0 + 13/420*i**5 + 0*i + 5/56*i**4 + 1/21*i**3. Let z(t) = 0. Calculate t.
-1, -2/13
Let w be -1 - 35/(15/3). Let v be (0/(w + 3))/2. Determine o, given that 0*o**2 + v*o + 0 - 2/11*o**4 + 2/11*o**5 + 0*o**3 = 0.
0, 1
Let z(j) = -j**2 - 5*j - 12. Let n be z(-6). Let b = -15 - n. Factor 6*y**3 - b*y**3 - 2*y**3 - y.
y*(y - 1)*(y + 1)
Let p(j) be the second derivative of -j**4/12 - 7*j**3/2 - 19*j**2 + 5*j + 8. Factor p(l).
-(l + 2)*(l + 19)
Suppose 44/3*f**2 + 10/3*f**3 + 10/3*f - 8 = 0. What is f?
-4, -1, 3/5
Let r(t) be the first derivative of 5*t**3/3 + 170*t**2 + 5780*t - 130. Factor r(q).
5*(q + 34)**2
Let z be (9/(-4))/(75/(-100)). Let y(t) be the first derivative of 2/7*t - 8 - 5/7*t**2 - 4/7*t**z. Factor y(b).
-2*(b + 1)*(6*b - 1)/7
Let j(t) be the seco