 + 17*i - 26. Let r(v) = v**4 - 2*v**3 - 8*v**2 + 18*v - 24. Let m(q) = -5*o(q) + 6*r(q). Factor m(h).
(h - 7)*(h - 1)**2*(h + 2)
Suppose -45/4*r + 0 + 9/2*r**3 - 39/4*r**2 = 0. What is r?
-5/6, 0, 3
Let b(o) be the third derivative of -o**6/360 - o**5/120 + 23*o**3/6 - 14*o**2. Let x(l) be the first derivative of b(l). Factor x(k).
-k*(k + 1)
Let y(k) be the first derivative of -k**6/9 + 2*k**4 - 4*k**3/9 - 9*k**2 + 12*k - 28. Solve y(v) = 0.
-3, -2, 1, 3
Let m(x) be the first derivative of 4*x**3/15 - 11*x**2/5 + 2*x + 45. Solve m(o) = 0.
1/2, 5
Let j be 10 + 1590/(-70) - -13. Factor 16/7*l**2 - 12/7*l**3 + 0 - 6/7*l + j*l**5 + 0*l**4.
2*l*(l - 1)**3*(l + 3)/7
Let k(l) = l - 4. Let x be k(5). Let u be (x/(-2) + -1)/((-23)/46). Factor 1/5*g**5 + 1/5*g + 0*g**2 + 0 + 0*g**4 - 2/5*g**u.
g*(g - 1)**2*(g + 1)**2/5
Suppose 11*s - 12*s + 1 = 0. Find y such that -3 + 1 - 19*y**2 + 16*y**2 - s + 6*y = 0.
1
Factor 3/2*x**4 + 6*x + 42 + 6*x**3 - 63/2*x**2.
3*(x - 2)**2*(x + 1)*(x + 7)/2
Let y(q) be the first derivative of -3*q**4/28 + 282*q**3/7 - 39762*q**2/7 + 2491752*q/7 + 123. Determine u, given that y(u) = 0.
94
Let j(a) = a**3 - a**2 - a - 1. Let q(v) = -4*v**3 + 26*v**2 - 94*v + 130. Suppose 25*p = 21*p + 4. Let m(f) = p*q(f) + 2*j(f). Factor m(i).
-2*(i - 4)**3
Let n(s) be the first derivative of -5*s**3/3 - 115*s**2/2 - 110*s - 60. Solve n(k) = 0.
-22, -1
Let v = -2 + 5. Suppose 10*q**4 - 8*q**2 - 11*q**4 + 11*q**4 - 2*q**5 + 3*q**3 - 15*q**v + 16*q = 0. What is q?
-1, 0, 2
Suppose -5*y + 2*a = -4, -a + 4 = -y + 6. Factor 0 - 3/2*k**2 - 9/4*k**3 + y*k - 3/4*k**4.
-3*k**2*(k + 1)*(k + 2)/4
Let i(t) be the second derivative of 0*t**3 + 8*t + 1/80*t**5 + 0*t**2 + 0 + 1/24*t**4. Determine b so that i(b) = 0.
-2, 0
Suppose -518 + 1834 + 308*s + 19*s**2 + 53*s**2 - 479 + 4*s**3 - 597 = 0. Calculate s.
-12, -5, -1
Factor 42 - 1/2*t**2 - 20*t.
-(t - 2)*(t + 42)/2
Factor 92019*g + 31*g**2 - 2*g**3 + 33*g**2 + 216 - 91737*g.
-2*(g - 36)*(g + 1)*(g + 3)
Let f(u) be the second derivative of -u**7/42 + 3*u**5/10 + 2*u**4/3 + u**3/2 - 2*u - 20. Suppose f(g) = 0. Calculate g.
-1, 0, 3
Suppose -123*k + 436 = -56. Solve -1/4*c**k - 3/4*c**3 + 7/4*c**2 - 9/2 + 15/4*c = 0 for c.
-3, 1, 2
Factor 4/5*a**2 - 12/5 - 8/5*a.
4*(a - 3)*(a + 1)/5
Factor -1/2*x - 1/4*x**3 + 0 + 3/4*x**2.
-x*(x - 2)*(x - 1)/4
Find h, given that 128/11*h**2 + 26/11*h**3 - 2/11*h**4 + 136/11*h + 0 = 0.
-2, 0, 17
Let p = 139 + -131. Let w be (-21)/(-24)*p/28. Let -r - w*r**3 + 0 + r**2 = 0. Calculate r.
0, 2
Let q(b) be the second derivative of b**6/105 + b**5/70 - 4*b**4/21 - 4*b**3/7 + 67*b. Factor q(v).
2*v*(v - 3)*(v + 2)**2/7
Let u = 21388 - 21386. Find y, given that 2/5*y**u + 8/5*y**4 + 0 + 8/5*y**3 + 0*y = 0.
-1/2, 0
Let p be (12/(-16))/(2/(-8)). Let n(k) = -2*k**2 + 22*k - 60. Let c be n(6). Factor 0*a - 6/5*a**2 + c + 3/5*a**4 + 3/5*a**p.
3*a**2*(a - 1)*(a + 2)/5
Let v(y) be the first derivative of -35*y**4/4 - 235*y**3/3 - 140*y**2 + 100*y + 164. Factor v(b).
-5*(b + 2)*(b + 5)*(7*b - 2)
Let o = 26514/25 + -8028542/7575. Let l = -2/101 + o. Factor -2*u - 4/3*u**2 - l.
-2*(u + 1)*(2*u + 1)/3
Let v = 28/3 - 9. Let u(c) be the second derivative of 0 - v*c**3 + 2/3*c**2 + 5*c + 1/18*c**4. What is t in u(t) = 0?
1, 2
Suppose -1428*d + 1441*d - 26 = 0. Let v(q) be the first derivative of 0*q - 3 + 2/15*q**3 + 2/5*q**d. What is w in v(w) = 0?
-2, 0
Let s(l) be the third derivative of -l**6/90 + 7*l**5/30 - 2*l**4 - 17*l**3/3 - 10*l**2. Let f(p) be the first derivative of s(p). Determine r so that f(r) = 0.
3, 4
Let i = 45 - 38. Suppose 7 - i = -5*o. Let -1/2*c**3 - c**2 - 1/2*c + o = 0. Calculate c.
-1, 0
Let b(i) be the first derivative of 9*i**4/4 + 4*i**3 + 3*i**2/2 - 116. Let b(x) = 0. What is x?
-1, -1/3, 0
Let u be (-13 + 129)*(-2)/(-10). Let w = -23 + u. Let -w*q + 0 + 4/5*q**3 - 3/5*q**2 = 0. What is q?
-1/4, 0, 1
Let t be 3 - 2/(-1 + 55/30). Factor 1/5*g**2 - t*g - 4/5.
(g - 4)*(g + 1)/5
Let s(k) be the third derivative of -10*k**2 + 0*k + 0*k**4 + 0*k**3 + 1/90*k**5 + 1/360*k**6 + 0. Determine g, given that s(g) = 0.
-2, 0
Let d(o) be the second derivative of -17*o + 5/4*o**4 - 10*o**2 - 40/3*o**3 + 2/3*o**6 + 0 + 13/4*o**5. Find b such that d(b) = 0.
-2, -1/4, 1
Solve 23/3*v**2 - 13/3*v**4 - 2*v**5 - 10/3 - v + 3*v**3 = 0 for v.
-2, -1, 5/6, 1
Let u = 87 - 102. Let c be (-24)/u - ((-26)/(-10) - 3). Factor -2/5*b + 0 + 1/5*b**c + 1/5*b**3.
b*(b - 1)*(b + 2)/5
Suppose 23 = 4*v + 15. Factor -248 - 2*d**2 + 0*d**v - 5*d + 244 - d.
-2*(d + 1)*(d + 2)
Let c(s) be the first derivative of 4*s**3 + 71*s**2/6 - 2*s/3 - 192. What is g in c(g) = 0?
-2, 1/36
Let a(z) be the first derivative of -3*z - 3/2*z**5 + 20 - 51/8*z**4 - 33/4*z**2 - 21/2*z**3. Factor a(x).
-3*(x + 1)**3*(5*x + 2)/2
Let l(f) be the third derivative of -f**5/30 - 37*f**4/6 - 1369*f**3/3 + 16*f**2. Suppose l(d) = 0. Calculate d.
-37
Let t(u) be the second derivative of -u**5/4 + 45*u**4/4 + 70*u**3/3 + 41*u. Let t(r) = 0. What is r?
-1, 0, 28
Let z = 187 - 28613/153. Let a = z + 167/1071. Let 2/7 + 3/7*x**2 + 1/7*x**3 - a*x**4 - 5/7*x = 0. What is x?
-2, 1
Let r(a) be the third derivative of a**6/240 - a**5/24 - a**4/8 + a**2 - 25. Suppose r(h) = 0. Calculate h.
-1, 0, 6
Solve -121 + 9*f - 8*f + 85*f**3 - 21*f - 159 + 210*f**2 + 5*f**4 = 0 for f.
-14, -2, 1
Factor 0 - 2*g**2 - 4/3*g**4 + 1/3*g + 3*g**3.
-g*(g - 1)**2*(4*g - 1)/3
Let o(w) = 6*w**3 + 7*w**2 + 16*w + 7. Let x(j) = -5*j**3 - 7*j**2 - 16*j - 8. Let g(q) = 4*o(q) + 5*x(q). Factor g(c).
-(c + 2)**2*(c + 3)
Let c(d) be the first derivative of -2*d**5/5 - 3*d**4 - 8*d**3/3 + 6*d**2 + 10*d + 787. Factor c(j).
-2*(j - 1)*(j + 1)**2*(j + 5)
Suppose -2/3*g**3 - 14/3*g**2 + 120 + 16*g = 0. What is g?
-6, 5
Find j, given that 16/5*j + 0 - 46/5*j**2 - 14/5*j**4 + 44/5*j**3 = 0.
0, 1, 8/7
Let r(x) be the third derivative of -x**6/210 - 2*x**5/35 + x**4/6 - 48*x**2. Factor r(s).
-4*s*(s - 1)*(s + 7)/7
Let g(l) be the first derivative of -4*l - 1/6*l**6 - 19/4*l**4 - 7/5*l**5 - 25/3*l**3 - 7 - 8*l**2. Suppose g(n) = 0. What is n?
-2, -1
Let t(a) be the second derivative of -3/40*a**5 - 1/24*a**4 + 1/4*a**3 + 27*a + 0*a**2 + 0 + 1/60*a**6. Find u such that t(u) = 0.
-1, 0, 1, 3
Let x = -14081 + 70409/5. Factor 8/5*o**2 + x + 2/5*o**3 + 2*o.
2*(o + 1)**2*(o + 2)/5
Factor 1866*w**2 - 589*w**2 + 270*w - 1010*w**2 - 3*w**3.
-3*w*(w - 90)*(w + 1)
Factor -386*o - o**2 + 200*o + 192*o + 16.
-(o - 8)*(o + 2)
Suppose 2*x - 22 = 4*v, -2*x - 2*v = -0*v + 2. Suppose 7*o**5 + 2*o**3 - 10*o**5 - 2*o**3 - x*o**4 = 0. Calculate o.
-1, 0
Let c(d) be the first derivative of -1/180*d**6 + 0*d + 2*d**3 + 1/30*d**5 - 4 - 1/12*d**4 + 0*d**2. Let k(l) be the third derivative of c(l). Factor k(m).
-2*(m - 1)**2
Let q(h) = -30*h**4 + 162*h**3 + 57*h**2 - 459*h - 42. Let t(d) = -3*d**4 + 16*d**3 + 6*d**2 - 46*d - 4. Let r(b) = 2*q(b) - 21*t(b). Factor r(v).
3*v*(v - 4)*(v - 2)*(v + 2)
Let o(u) be the third derivative of 0*u + 0*u**3 - 5/36*u**4 - 5/36*u**5 - 1/126*u**7 + 0 - 21*u**2 - 1/18*u**6. Find v such that o(v) = 0.
-2, -1, 0
Let k be (-2 + (3 - 1) - -79) + 1. Let w = k - 238/3. Factor 2/3*h**4 - 2*h**3 - w*h + 0 + 2*h**2.
2*h*(h - 1)**3/3
Let r(f) = 4*f + 13. Let b be r(-7). Let p(u) = -u - 15. Let i be p(b). Factor i*t**2 + 0 - 4/3*t + 1/3*t**3.
t*(t - 2)*(t + 2)/3
Let a(w) be the third derivative of -w**6/720 - 17*w**5/180 - 31*w**4/36 - 10*w**3/3 - w**2 + 379*w. Factor a(n).
-(n + 2)**2*(n + 30)/6
Let f be (8/(-7))/(18/(-63)). Let 4*y**2 - 15*y - 13*y + 28*y + 4*y**3 - f*y**4 - 4*y**5 = 0. What is y?
-1, 0, 1
Let f(v) = 13*v**2 - 4*v - 4. Let c(q) = 24*q**2 - 9*q - 6. Let j(b) = -5*c(b) + 9*f(b). What is u in j(u) = 0?
1, 2
Let a(m) = 4*m**4 - 6*m**3 + 5*m**2 - 5*m. Let r(l) = -6*l**4 + l**4 + 3*l**2 - 9*l**2 + 7*l**3 + 6*l. Let y(c) = 6*a(c) + 5*r(c). Suppose y(t) = 0. What is t?
-1, 0
Let s(c) be the third derivative of -c**6/120 - 7*c**5/20 - 5*c**4/6 + 32*c**2. Solve s(m) = 0.
-20, -1, 0
Let i(q) = -2*q**3 - 10*q**2 + 10*q + 21. Let n(o) = -o**3 - 9*o**2 + 9*o + 19. Let h(d) = 2*i(d) - 3*n(d). Let h(p) = 0. What is p?
-1, 3, 5
Let y = -1088 - -1904. Suppose -y = -4*q - 4*n, 3*n + 608 = 3*q + 8*n. Factor 198*z**2 - 6 - q*z**2 - 3*z - z + 30*z.
-2*(z - 3)*(4*z - 1)
Let p(m) be the