 1/90*l**5 + 0*l + 0. Factor g(o).
2*(o - 2)*(o + 2)/3
Let m(s) be the first derivative of s**4/30 - 44*s**3/45 + 89*s**2/15 + 224*s/15 + 48. Find q such that m(q) = 0.
-1, 7, 16
Let i(w) be the first derivative of -4*w + 42 + 10/3*w**3 + 7/4*w**4 - 1/2*w**2. Suppose i(t) = 0. What is t?
-1, 4/7
Suppose -6*s - 9 = -9*s. Let t(w) be the second derivative of 0*w**2 + 0 - 3/10*w**5 + 1/3*w**s - 2/15*w**6 - 2*w + 0*w**4. Factor t(h).
-2*h*(h + 1)**2*(2*h - 1)
Let u(l) = l**2 + 7*l + 5. Let c be u(-7). Suppose 27 = c*a + 7. Find r such that -9 - 138*r**2 + 19*r**4 - 132*r**3 + 3*r - 63*r - 64*r**a = 0.
-1, -3/5, -1/3
Let s(t) be the third derivative of -t**7/210 - t**6/120 + 7*t**5/60 + 13*t**4/24 + t**3 - t**2 + 2*t. What is v in s(v) = 0?
-2, -1, 3
Let g(i) be the second derivative of i**7/56 - i**6/10 - 9*i**5/20 + 161*i. Factor g(n).
3*n**3*(n - 6)*(n + 2)/4
Suppose 3*g = -3*g + 30. Suppose -g*o + 6 = -4. Factor 3/2*w + 0 - 3/4*w**o.
-3*w*(w - 2)/4
Let u(r) = 5*r**3 - 275*r**2 - 8*r + 272. Let t(d) = -35*d**3 + 1925*d**2 + 55*d - 1905. Let i(l) = 3*t(l) + 20*u(l). Solve i(x) = 0 for x.
-1, 1, 55
Let b(i) = -4*i**2 + 3*i - 8. Let v(j) = 9*j**2 - 6*j + 18. Let h(s) = 14*b(s) + 6*v(s). Factor h(n).
-2*(n - 2)*(n - 1)
Let m = 6 - 20. Let p be (19/7 - 3)*m. Let -w**5 + 15*w + 5 - 20*w**4 + 5*w**4 - 10*w**3 + 10*w**2 - p*w**5 = 0. What is w?
-1, 1
Let y be (-11)/(-9) - (-112)/(-126). Factor 0 - c - y*c**3 - 4/3*c**2.
-c*(c + 1)*(c + 3)/3
Solve -r**2 + 0 - 11/3*r**3 + r**4 + 10/3*r + 1/3*r**5 = 0 for r.
-5, -1, 0, 1, 2
Let g(o) = 2*o + 45. Let j be g(19). Let 3*q**3 - 170*q**2 + 84*q**2 + j*q**2 = 0. Calculate q.
0, 1
Let n be (-1 - -3)*493/174 - 5. Let r(p) be the first derivative of 1/2*p**4 + 0*p - 3 - 2*p**2 + n*p**3. Factor r(v).
2*v*(v - 1)*(v + 2)
Let m(q) = 4*q**3 - 3*q**2 + 1. Suppose 0 = 7*n - 4*n + 3. Let w(y) be the second derivative of y**5/20 - y**2/2 - 2*y. Let p(t) = n*m(t) + 3*w(t). Factor p(r).
-(r - 2)**2*(r + 1)
Let k(w) be the first derivative of -5*w**4/12 + 5*w**3/2 - 5*w**2 + 16*w + 11. Let h(u) be the first derivative of k(u). Factor h(x).
-5*(x - 2)*(x - 1)
Let n = -9 + -2. Let m(w) = -w**3 - 2*w**2 + 7*w + 4. Let d(h) = -3*h**3 - 5*h**2 + 20*h + 11. Let g(t) = n*m(t) + 4*d(t). Factor g(s).
-s*(s - 3)*(s + 1)
Let t(v) be the second derivative of -9*v + 0*v**2 + 0 - 1/12*v**4 - 1/3*v**3. Determine d, given that t(d) = 0.
-2, 0
Factor -z**3 + 323/3*z + 76/3*z**2 - 116/3.
-(z - 29)*(z + 4)*(3*z - 1)/3
Solve -62/3*i + 20/3 - 26/3*i**3 + 2/3*i**4 + 22*i**2 = 0.
1, 10
Let c(j) be the third derivative of j**3 - 7/40*j**6 + 0*j - 1/10*j**5 + 0 + 14*j**2 + 7/8*j**4. Factor c(r).
-3*(r - 1)*(r + 1)*(7*r + 2)
Factor 52 + 14*d + 2*d**2 + 15*d + d.
2*(d + 2)*(d + 13)
Let z(b) = 4*b**2 - b. Let p(h) = -h**2 + 6*h + 1. Let j be p(6). Let t be z(j). Factor -2*x**3 + 5*x**2 - 3*x**2 - 5*x - 2 + 7*x + 0*x**t.
-2*(x - 1)**2*(x + 1)
Let c(x) = -7*x - 270. Let z be c(-39). Determine s so that 4/5*s**2 - 22/5*s - 4/5 + 22/5*s**z = 0.
-1, -2/11, 1
Let m = 270983/9 + -30109. Factor 16/3*k + m*k**2 + 32.
2*(k + 12)**2/9
Let f be -2*(-3 + 42/15). Let y = -1292 + 1292. Find v, given that y - f*v + 1/5*v**2 = 0.
0, 2
Let g be (-16)/(-18) + (-25)/(900/(-8)). Factor 2/9*z - g*z**3 - 2/9*z**2 - 2/3*z**4 + 0.
-2*z*(z + 1)**2*(3*z - 1)/9
Let v(a) be the second derivative of -a**6/6 - 7*a**5/4 + 85*a**4/12 - 15*a**3/2 + 255*a. Let v(w) = 0. What is w?
-9, 0, 1
Let j(l) be the third derivative of l**6/540 + 23*l**5/90 - 2*l**2 + 227*l. Solve j(d) = 0 for d.
-69, 0
Suppose 5*r = -2*p + 16, -4*r + 10 = 2*p - 2*r. Let s = -12 - -17. Let -p*t**3 - 3*t**5 + 8*t**5 - 9*t**4 + 7*t**s = 0. What is t?
-1/4, 0, 1
Let b(y) = -y**3 + 7*y**2 - 6*y + 2. Let h be b(6). Suppose h*d = -0*d - 3*d. Find a, given that d + 0*a - 2/7*a**2 = 0.
0
Let z be (-20)/(-50)*(-6 + 1). Let t = 0 - z. Factor 2*k**4 + 0 + 0 + 6*k**t - 4*k**4 + 4*k.
-2*k*(k - 2)*(k + 1)**2
Suppose 0 = 2*q - q + 15. Let b = q + 20. Find h, given that 3*h**5 + 2*h**5 - b*h**5 - 6*h**3 + 3*h + 3*h**5 = 0.
-1, 0, 1
Suppose 6*x = -46 + 58. Factor -3*g - g - 165*g**2 - 6*g**3 + 174*g**x + g**4.
g*(g - 4)*(g - 1)**2
Let x(b) be the first derivative of -b**4/5 - 16*b**3/5 - 8*b**2 - 85. What is k in x(k) = 0?
-10, -2, 0
Let i(s) be the third derivative of -s**8/840 - 4*s**7/525 - s**6/150 + 2*s**5/75 + s**4/20 - 17*s**2 + 2. Find w, given that i(w) = 0.
-3, -1, 0, 1
Suppose -6*v - v + 7 = 0. Let h(m) be the first derivative of 0*m**3 - 4/35*m**5 - 2/21*m**6 + 0*m - v + 0*m**2 + 0*m**4. Factor h(y).
-4*y**4*(y + 1)/7
Let v(g) be the third derivative of 2/3*g**3 + 5*g**2 - 1/900*g**6 + 0*g + 0 - 1/30*g**4 + 1/100*g**5. Let h(j) be the first derivative of v(j). Factor h(f).
-2*(f - 2)*(f - 1)/5
Let x(s) = -s**3 + 8*s**2 - 16*s + 4. Let b be x(4). Determine a, given that a**2 + 30*a - 4*a**2 - b - 4*a**2 - 19*a**2 = 0.
2/13, 1
Suppose x - 190 = -h - 34, 0 = h - 3*x - 160. Factor h*u**3 + 4*u**4 - 128*u**3 + 768*u**2 - 125*u**3 - 2048*u.
4*u*(u - 8)**3
Let l be (-3)/(-5) + (-37)/(-5). Let h = -66 + 73. Find s, given that l - 27*s + 16*s**2 + 3*s**3 - 7*s**3 + h*s = 0.
1, 2
Factor -10*o**2 - 304/5*o - 2/5*o**3 - 544/5.
-2*(o + 4)**2*(o + 17)/5
Factor -17/7*w**3 - 8/7*w**2 + 0 - 2/7*w**4 + 0*w.
-w**2*(w + 8)*(2*w + 1)/7
Let n(c) be the third derivative of 0*c + 0*c**3 + 1/15*c**5 + 0 - 7*c**2 + 0*c**4. Factor n(o).
4*o**2
Let m be ((-693)/(-12))/11*8/3. Solve -7*w**3 - 3*w**3 - 8*w**3 + 4*w**2 + m*w**4 + 0*w**3 = 0 for w.
0, 2/7, 1
Suppose -3*m = 5*q, 3*m = -4*q - 4 + 1. Factor -6*f + 12*f**3 + 10*f**q - 4 - 20*f**3.
2*(f - 2)*(f + 1)**2
Suppose -3*t - 342 = -66. Let c = t - -646/7. Factor c*v**3 - 1/7*v**4 + 1/7*v**2 + 0 - 2/7*v.
-v*(v - 2)*(v - 1)*(v + 1)/7
Factor 5832/11 + 216/11*z + 2/11*z**2.
2*(z + 54)**2/11
Let a(j) be the first derivative of j**6/12 - 9*j**5/10 + 3*j**4 - 8*j**3/3 + 62. Factor a(f).
f**2*(f - 4)**2*(f - 1)/2
Let y be (-285)/76*(-16)/12 + -3. Factor 0*h**y + 0 + 2/7*h - 2/7*h**3.
-2*h*(h - 1)*(h + 1)/7
Let z(m) be the second derivative of -7*m - 3/20*m**5 - 9/2*m**2 + 0 - 7/2*m**3 - 5/4*m**4. Factor z(p).
-3*(p + 1)**2*(p + 3)
Let j(l) = 2*l + 11*l - 8*l**3 + 11*l + 29. Let x(y) = -4*y**3 + 12*y + 14. Let p(t) = 6*j(t) - 13*x(t). Factor p(d).
4*(d - 2)*(d + 1)**2
Let z(u) be the first derivative of u**4 + 16/9*u**3 - 16/15*u**5 - 8/3*u**2 - 19 + 2/9*u**6 + 0*u. Let z(w) = 0. What is w?
-1, 0, 1, 2
Let h(s) be the third derivative of s**7/420 + s**6/240 - s**5/40 - s**4/48 + s**3/6 + 707*s**2. Suppose h(q) = 0. What is q?
-2, -1, 1
Let f(h) be the first derivative of -18/17*h + 8 - 6/17*h**2 - 2/51*h**3. Find r such that f(r) = 0.
-3
Let q(x) be the second derivative of x**4/15 - 2*x**3/3 - 12*x**2/5 - 14*x. Factor q(l).
4*(l - 6)*(l + 1)/5
Let r(t) = t**3 + 4*t**2 + 2*t + 1. Let o be r(-3). Let d(a) = -a**2 + 11*a - 19. Let l(s) = s**2 - 12*s + 20. Let q(p) = o*d(p) + 3*l(p). Factor q(n).
-(n - 4)**2
Factor -40*y**4 + 358 + 47*y**2 - 110*y**3 - 132*y**2 - 45*y - 35*y**2 - 5*y**5 - 358.
-5*y*(y + 1)**2*(y + 3)**2
Suppose 3*k = s - 2 + 18, -5*s - 20 = 0. Solve 10*p**3 - 4*p**3 + 22*p**2 - k*p - 16*p**3 = 0.
0, 1/5, 2
Let u(s) = s**3 + 13*s**2 + 35*s - 36. Let c be u(-8). Find v such that 6/5*v**c + 0 + 18/5*v**3 + 0*v - 8/5*v**5 + 4/5*v**2 = 0.
-1, -1/4, 0, 2
Let u(q) be the second derivative of q**4/4 + 7*q**3/2 - 12*q**2 + 10*q - 5. Factor u(z).
3*(z - 1)*(z + 8)
Let w(s) = -s**3 + 7*s**2 + 7*s + 11. Let a be w(8). Factor -2*d**5 - 4 - 12*d + 8*d**a + 0 + 12*d**4 - 8*d**2 + 6*d**5.
4*(d - 1)*(d + 1)**4
Let d = -273 - -276. Let v(r) be the third derivative of 6*r**2 + 0 + 0*r + 0*r**d + 1/8*r**4 - 1/40*r**5. Solve v(c) = 0 for c.
0, 2
Let f(i) be the first derivative of -i**4/8 - i**3 + 4*i**2 + 67. Factor f(b).
-b*(b - 2)*(b + 8)/2
Let w(r) be the second derivative of r**5/10 - 7*r**4/6 + 5*r**3 - 9*r**2 - 3*r. Factor w(l).
2*(l - 3)**2*(l - 1)
Let m(a) be the first derivative of -3*a**4/4 - 16*a**3 - 78*a**2 - 144*a - 185. Find r, given that m(r) = 0.
-12, -2
Solve -6/5*w**5 + 42*w - 78/5*w**4 - 294/5 - 204/5*w**3 + 372/5*w**2 = 0 for w.
-7, -1, 1
Let t(b) be the second derivative of b**5/90 - 2*b**4/27 + 5*b**3/27 - 2*b**2/9 + 54*b. What is x in t(x) = 0?
1, 2
Let f(l) = -3*l - 10. Let s be f(-6