 of q(u). Factor o(s).
(s - 3)**2*(5*s - 2)
Let m(i) = i**2 + i - 30. Let f be m(5). Let p(b) be the second derivative of 0 + f*b**2 + 0*b**3 + 3/20*b**5 - b - 1/12*b**4. Factor p(z).
z**2*(3*z - 1)
Determine h so that 0 - 20*h - 5/3*h**2 = 0.
-12, 0
Let f(k) be the third derivative of -1/6*k**5 + 0*k + 7/60*k**6 + 25*k**2 + 1/12*k**4 + 0*k**3 - 1/35*k**7 + 0. Let f(y) = 0. What is y?
0, 1/3, 1
Let c(f) = -189*f - 1701. Let b be c(-9). Solve 0*p**2 + 1/3*p**3 - 1/3*p + b = 0.
-1, 0, 1
Factor -140*o + 144 - 16*o**2 - 13*o**2 - 10*o**2 + 49*o**2 - 14*o**2.
-4*(o - 1)*(o + 36)
Suppose 240 = -4*b + b. Let g be b/(-19) - 4/(-8)*-8. Factor -4/19*k**3 - 2/19*k**2 + 2/19*k**4 + g*k + 0.
2*k*(k - 2)*(k - 1)*(k + 1)/19
Let n(h) = h**3 - 61*h**2 + 82*h - 22. Let f(m) = 12*m**2 - 16*m + 4. Let r(t) = 11*f(t) + 2*n(t). Factor r(d).
2*d*(d - 1)*(d + 6)
Let m(k) be the first derivative of k**4/30 - 7*k**3/15 + 6*k**2/5 + 11*k + 10. Let b(z) be the first derivative of m(z). Factor b(t).
2*(t - 6)*(t - 1)/5
Let h(u) be the first derivative of 21*u**5/5 + 195*u**4/4 + 74*u**3 + 24*u**2 - 40. Factor h(p).
3*p*(p + 1)*(p + 8)*(7*p + 2)
Let m(s) be the third derivative of -2*s**7/105 + s**5/15 + 6*s**2. Solve m(c) = 0.
-1, 0, 1
Let o be 0/((-15)/((-90)/12)). Factor 0*a + 0*a**2 + 0 + o*a**4 - 1/9*a**5 + 1/9*a**3.
-a**3*(a - 1)*(a + 1)/9
Let c(k) = -k + 2. Let b be c(-1). Solve 8*x**2 + b*x**4 - 3*x**2 + 2*x**4 - 10*x**4 = 0 for x.
-1, 0, 1
Let r be (-462)/88*2/3*(-28)/441. Solve 1/9*p**4 + 0 + 0*p**2 + 0*p - 1/9*p**5 + r*p**3 = 0.
-1, 0, 2
Let x = -13188/5 + 2638. Suppose -2/5*g - 2/5*g**4 + 2/5*g**2 + x*g**3 + 0 = 0. Calculate g.
-1, 0, 1
Let d(f) = -f**3 - f. Let y(m) = m**3 - 16*m**2 - 62*m. Let c(l) = 2*d(l) + y(l). Suppose c(k) = 0. Calculate k.
-8, 0
Let o be 2*5/10*(-14)/(-2100). Let u(s) be the third derivative of o*s**5 + 0*s**4 + 0 + 0*s + 13*s**2 - 4/15*s**3. Suppose u(l) = 0. What is l?
-2, 2
Let y = -3429 - -3432. Factor -1/2*s**2 + 1/2*s**y - 1/2*s + 1/2.
(s - 1)**2*(s + 1)/2
Let t = 16201 - 339977/21. Let a(u) be the first derivative of t*u**3 + 104/7*u**2 + 2 + 15/7*u**4 + 48/7*u. Find z such that a(z) = 0.
-3, -2/3, -2/5
Determine k, given that 784*k - 597*k**2 - 146*k**2 + 1012*k**3 + 21*k**2 - 120*k**4 - 602*k**2 - 356*k**2 + 4*k**5 = 0.
0, 1, 14
Let c(v) be the second derivative of -v**7/525 + v**6/150 - v**5/150 + 9*v**2/2 + 13*v. Let k(a) be the first derivative of c(a). Find z, given that k(z) = 0.
0, 1
Let k = -70975/29708 + -4/1061. Let v = -15/7 - k. Find a such that 1/4*a**3 + 0 - 1/4*a**4 - v*a + 1/4*a**2 = 0.
-1, 0, 1
Let w be ((-2)/8)/(4/(-12)). Let p be (-7)/35*35/(-28). Factor -p*q**2 - w*q - 1/2.
-(q + 1)*(q + 2)/4
Let r = 274 - 271. Let d(g) be the first derivative of 1/10*g**4 - 2/5*g - 1/5*g**2 + 2/15*g**3 - r. What is l in d(l) = 0?
-1, 1
Let s = 2 + 7. Suppose -b + 4*b - s = 0. Factor -2 + 6*l + 6*l**3 - 6*l**2 - l**3 - 2*l**b - l**3.
2*(l - 1)**3
Let h(y) = -2*y**4 - 2*y**3 - y**2 - y - 2. Let f(p) = p**5 - 6*p**4 - 4*p**3 - p**2 - 4*p - 10. Let u(m) = -f(m) + 5*h(m). Factor u(c).
-c*(c + 1)**4
Factor -48*g - 22*g + 2544 + 70*g**3 - 2479 + 2*g**2 - 62*g**2 - 5*g**4.
-5*(g - 13)*(g - 1)**2*(g + 1)
Let x(k) = -3*k**4 + 5*k**3 + 7*k**2 + 7*k. Let v(f) = -4*f**4 + 6*f**3 + 10*f**2 + 8*f. Let w(h) = 4*v(h) - 5*x(h). Let w(o) = 0. What is o?
-3, 0, 1
Let x(g) be the first derivative of 0*g**2 - 2/35*g**5 + 0*g**3 + 0*g + 1/7*g**4 + 3. Factor x(a).
-2*a**3*(a - 2)/7
Let g(v) be the second derivative of v**6/135 + v**5/9 - v**4/18 - 32*v**3/27 - 20*v**2/9 - 16*v - 10. Solve g(k) = 0.
-10, -1, 2
Let h(m) be the third derivative of 1/30*m**6 + 0 + 5/168*m**8 + 1/15*m**7 + 0*m**3 + 0*m**5 + 3*m**2 + 0*m**4 + 0*m. Let h(v) = 0. Calculate v.
-1, -2/5, 0
Let z be (-11)/(-3) + 2/6. Suppose -5*p + 25 = 0, -3*x = -2*p + z + 6. Solve x - 2/5*r**2 + 0*r + 0*r**3 + 2/5*r**4 = 0.
-1, 0, 1
Let q(g) = -g**4 + 7*g**3 - 14*g**2 - 13*g + 6. Let v(p) = 2*p**4 - 16*p**3 + 27*p**2 + 26*p - 14. Let a(j) = -5*q(j) - 3*v(j). Suppose a(s) = 0. What is s?
-1, 1, 12
Let l(n) = 6*n**2 + 1. Let t be l(-2). Let q = 30 - t. Factor -k**2 - 3*k**q - 2*k**3 + 2*k**2 + k**3 - 5*k**4 + 0*k**3.
-k**2*(k + 1)**2*(3*k - 1)
Let w be (-23 - 1)/(-3) + 3*-2. Solve -3/5*v**w - 18/5*v**3 - 27/5*v**4 + 0*v + 0 - 12/5*v**5 = 0.
-1, -1/4, 0
Let d(x) be the second derivative of -x**5/70 + x**4/7 - 5*x**3/21 + 61*x. Find c, given that d(c) = 0.
0, 1, 5
Let s(n) be the second derivative of -n**5/15 + 10*n**4/9 - 8*n**3/3 - 48*n**2 - 4*n - 39. Factor s(u).
-4*(u - 6)**2*(u + 2)/3
Let z(i) = -3*i**3 + 6*i + 9. Let h(y) = y**2 - y - 1. Let u(f) = -6*h(f) - z(f). Let a(x) = -x**2 - 1. Let t(d) = 3*a(d) - u(d). Factor t(q).
-3*q**2*(q - 1)
Let x = -1899/2 + 950. Let i(m) be the third derivative of -9*m**2 - 1/80*m**5 - x*m**3 + 0 - 1/8*m**4 + 0*m. Factor i(g).
-3*(g + 2)**2/4
Factor -5/3*l + 5/3*l**4 - 5*l**2 + 5/3*l**3 + 10/3.
5*(l - 1)**2*(l + 1)*(l + 2)/3
Let k be 426/22 + 19798/(-1042). Suppose 0*j**2 + 6/11*j**3 + 0 + 0*j + k*j**4 - 2/11*j**5 = 0. Calculate j.
-1, 0, 3
Let v be (-2)/4 - (-31)/(-2). Let n(z) = -15*z**2 - 13*z + 13. Let g(r) = -59*r + 0 - r - 5*r - 76*r**2 + r + 64. Let p(m) = v*n(m) + 3*g(m). Factor p(q).
4*(q + 2)*(3*q - 2)
Let f(q) be the second derivative of -q**7/189 - 7*q**6/135 - 19*q**5/90 - 25*q**4/54 - 16*q**3/27 - 4*q**2/9 + 10*q + 5. Solve f(d) = 0 for d.
-2, -1
Let n be (0 - (-92)/16)*4. Let r = -7 + n. Factor -1 + 8*y - r*y**2 + 1 - 2 + 1.
-(4*y - 1)**2
Let s(d) be the third derivative of d**6/240 + d**5/30 - 7*d**4/12 + 8*d**3/3 + 17*d**2 - 5. Determine y so that s(y) = 0.
-8, 2
Let v(d) = 48*d - 813. Let l be v(17). Determine r, given that -r - 1/2*r**2 + 0 + 1/2*r**l = 0.
-1, 0, 2
Let n(u) be the third derivative of -u**5/12 + 5*u**4/12 + 3*u**2 - u. Solve n(q) = 0 for q.
0, 2
Suppose -2*w = 3*w - 60. Let o be ((-15)/w)/(1/(-12)). Solve -8*m**2 - 15*m + 8*m**3 - 2*m**4 + o*m = 0 for m.
0, 2
Let w = -274252/7 - -39179. Factor 1/7*k - w*k**2 + 0.
-k*(k - 1)/7
Let s be (-1 - (-8)/6) + 154/66. Solve 2/3*t**2 - s*t + 2 = 0 for t.
1, 3
Let p(l) be the first derivative of 1/7*l**4 - 6/7*l**3 + 8/7*l - 10 + 6/35*l**5 + 0*l**2. Let p(t) = 0. Calculate t.
-2, -2/3, 1
Let r = 84 + -80. Determine q, given that -25*q**2 + r*q - 13*q**3 - 7*q**3 - 14*q - 5*q**4 = 0.
-2, -1, 0
Let b(k) be the second derivative of -1/6*k**3 + 16*k - k**2 + 1/12*k**4 + 0. Factor b(w).
(w - 2)*(w + 1)
Determine w, given that -116/13*w - 24/13*w**3 + 48/13 + 2/13*w**4 + 90/13*w**2 = 0.
1, 4, 6
Let p(u) = -u**3 - 7*u**2 - 11*u - 2. Let o be p(-5). Factor -10 + 20*n**o + 14*n - 47*n**5 - 49*n - 30*n**2 + 62*n**5 + 40*n**4.
5*(n - 1)*(n + 1)**3*(3*n + 2)
Let p(y) be the third derivative of -y**5/105 - 11*y**4/42 - 12*y**3/7 + 264*y**2. Factor p(a).
-4*(a + 2)*(a + 9)/7
Let o be (0 - 0) + (19 - -2) + -5. Let i be 4 + 5/((-20)/o). Factor 0*a + 2/5*a**3 + 2/5*a**2 + i.
2*a**2*(a + 1)/5
Let q(k) = -k. Let c be 1 - 2/(2/(-3)). Let n(i) = i - 11 + 7 + 9*i - 2*i**2. Let d(t) = c*q(t) + n(t). Factor d(s).
-2*(s - 2)*(s - 1)
Let t be ((-95)/30 - -3)*(-5 + 0). Let n = t + 5/12. Solve -25/4*w + 5/2 - n*w**3 + 5*w**2 = 0.
1, 2
Let i(z) be the first derivative of z**6/6 + z**5 + z**4/4 - 17*z**3/3 - 11*z**2 - 8*z + 92. Factor i(f).
(f - 2)*(f + 1)**3*(f + 4)
Let j(h) be the first derivative of -2*h**3/39 - 7*h**2/13 + 16*h/13 - 421. Solve j(d) = 0 for d.
-8, 1
Let y be ((-6)/(-42)*0)/((-12)/(-18)*-3). Factor 3/5*r**2 + 0 + y*r.
3*r**2/5
Suppose v + 5*c = -11, 0*c + 5*c = -2*v - 12. Let l be (192/320)/(v/((-2)/3)). Solve 16/5*k - 32/5 - l*k**2 = 0.
4
Let r = -902 + 905. Suppose 1/7*q + 4/7*q**r - 5/7*q**2 + 0 = 0. Calculate q.
0, 1/4, 1
Suppose 6 = -3*m - 4*h, -2*h = 2*m - 62 + 64. Find o such that 0*o**4 + 4/9*o**m + 2/9*o**5 + 0*o - 2/3*o**3 + 0 = 0.
-2, 0, 1
Let b(r) be the second derivative of -2/75*r**6 + 0*r**2 + 1/30*r**3 + 6*r + 1/15*r**4 - 1/100*r**5 + 0. Factor b(v).
-v*(v - 1)*(v + 1)*(4*v + 1)/5
Let w be ((-14)/6)/((-28)/21). Let c(a) be the second derivative of 1/2*a**3 + w*a**4 + 8*a + 0*a**2 + 9/10*a**6 + 9/4*a**5 + 0. Factor c(n).
3*n*(n + 1)*(3*n + 1)**2
Let m(o) = 12*o**2 + 214*o + 172. Let v(f) = -4*f**2 - 71*f - 58. Let h(z) = -3*m(z) - 10*v(z). Determine d, given that h(d) = 0.
