j - f - 3*f + 8. Factor 4*k**2 - 2*k**3 - k + 3*k**j - 3*k + 1 - 5.
-(k - 2)**2*(2*k + 1)
Let q(s) be the second derivative of -7*s**7/15 + 7*s**6/20 + 4*s**5/5 + s**4/3 - 16*s**2 + 17*s. Let t(f) be the first derivative of q(f). Factor t(l).
-2*l*(l - 1)*(7*l + 2)**2
Let m = -588/41 + 4239/287. Factor 0 - 6/7*g**4 + m*g**2 - 3/7*g**3 + 0*g.
-3*g**2*(g + 1)*(2*g - 1)/7
Let g(a) be the second derivative of 2*a**6/105 - 2*a**5/35 - a**4/7 + 16*a**3/21 - 8*a**2/7 + 116*a. Determine o, given that g(o) = 0.
-2, 1, 2
Suppose 5*a - 4*a = 2. Let p be a - 9/6*-2. Factor 2*v**p - 6*v**3 + 15*v**4 + 24*v**3 - 3*v**4.
2*v**3*(v + 3)**2
Let 80*f**2 + 12*f**3 + 5*f**5 - 3*f**5 - 28*f - 16*f**4 + 135*f - 57*f = 0. What is f?
-1, 0, 5
Let b(t) be the third derivative of -t**5/300 - t**4/10 - 6*t**3/5 + 145*t**2 - t. Find y such that b(y) = 0.
-6
Let l(c) be the second derivative of c**7/105 - 14*c**6/75 + 34*c**5/25 - 13*c**4/3 + 5*c**3 - 4*c + 20. Determine b, given that l(b) = 0.
0, 1, 3, 5
Let l = 140258/52599 + 2/17533. Determine p, given that 10/3*p**4 + l*p + 8/9 - 124/9*p**3 + 100/9*p**5 - 38/9*p**2 = 0.
-1, -2/5, 1/2, 1
Let b(c) = 2*c**3 - 24*c**2 - 30*c + 11. Let o be b(-11). Let z = 36635/7 + o. Factor -4/7 - 36/7*p**3 - z*p**2 - 4*p.
-4*(p + 1)*(3*p + 1)**2/7
Let g(y) be the first derivative of 0*y - 2/27*y**3 - 1/9*y**4 - 1 + 2/45*y**5 + 2/9*y**2. Factor g(v).
2*v*(v - 2)*(v - 1)*(v + 1)/9
Suppose -52*m = 71*m - 246. Let j(o) be the second derivative of -4/231*o**7 - 1/110*o**5 + 0*o**3 + 0*o**m + 0*o**4 - 14*o - 1/33*o**6 + 0. Factor j(v).
-2*v**3*(v + 1)*(4*v + 1)/11
Let z be (4867/651 + (1 - 8))/((-8)/(-36)). Factor 4/7*k + 4/7*k**4 - z*k**3 + 0 + 12/7*k**2.
k*(k - 2)**2*(4*k + 1)/7
Let c = -11815 + 11819. Solve -6/5*g**2 + 2/5*g**c + 4/5 - 2/5*g**3 + 2/5*g = 0.
-1, 1, 2
Suppose 5*f + 2*g - 20 = 0, 7*g + 5 = 6*g. Let m be (-5)/(-2)*f/5. Factor -1/5*u + 4/5*u**2 + u**m + 0.
u*(u + 1)*(5*u - 1)/5
Let m = -30 + 36. Let r(g) = g**4 + g**2 + g. Let o(w) = -w**4 - 3*w**3 + w**2 - 3*w. Let t(i) = m*r(i) + 3*o(i). Factor t(b).
3*b*(b - 1)**3
Let o be (-4)/(3 - -8 - (26 + -6)). Factor 20/9*l - 8/3 - o*l**2.
-4*(l - 3)*(l - 2)/9
Let d(t) = 5*t**2 - 220*t. Let g(q) = 2*q. Let p(h) = d(h) - 20*g(h). Factor p(w).
5*w*(w - 52)
Let f(s) be the third derivative of s**8/672 - s**7/35 - s**6/15 + 17*s**5/60 + 21*s**4/16 + 13*s**3/6 + 309*s**2. Let f(q) = 0. Calculate q.
-1, 2, 13
Factor -m + 0*m**2 - 19 + 3 - 4*m**2 - 19*m + 4*m.
-4*(m + 2)**2
Let n be (-9)/12 + (-92)/(-16) - 1. Let p(z) = z**3 + 9*z**2 + 11*z + 7. Let j(i) = 3*i**3 + 26*i**2 + 32*i + 20. Let g(c) = n*j(c) - 11*p(c). Factor g(h).
(h + 1)**2*(h + 3)
Solve 33/2 - 31/4*s - 1/4*s**2 = 0 for s.
-33, 2
Let b = 41 - 37. Suppose -b*m + 2 - 2 = 0. Find w such that 1/6*w**5 + 1/6*w**2 + m - 1/6*w**3 - 1/6*w**4 + 0*w = 0.
-1, 0, 1
Let m be (1/(-3))/((-12)/72). Let x be (-133)/(-70) - m/5. Find y such that x*y**2 + 3/2 - 3*y = 0.
1
Let s(a) = a**4 + a**3 - 2*a + 1. Let l(v) = 4*v**4 - 14*v**3 + 41*v**2 - 31*v + 5. Let u(m) = 4*l(m) - 20*s(m). Let u(j) = 0. Calculate j.
-21, 0, 1
Let r(n) be the third derivative of n**7/700 + 19*n**6/1800 + n**5/40 + n**4/60 + 13*n**3/6 - 17*n**2. Let d(a) be the first derivative of r(a). Factor d(o).
(o + 1)*(o + 2)*(6*o + 1)/5
What is d in 2/19*d**4 + 6/19 - 8/19*d**2 - 4/19*d + 4/19*d**3 = 0?
-3, -1, 1
Let u = -129/34 + 157/34. Suppose 38/17*l**4 + 26/17*l**3 - 38/17*l**2 - u*l**5 + 0 - 12/17*l = 0. Calculate l.
-1, -2/7, 0, 1, 3
Let r(j) be the third derivative of 2*j**7/105 - 2*j**6/15 - j**5/15 + 2*j**4/3 - 208*j**2. Factor r(k).
4*k*(k - 4)*(k - 1)*(k + 1)
Let i = -9 + 14. Let l be i + (-5)/10*4. Solve -6/7*c**l + 2/7*c**2 - 10/7*c**4 + 2/7*c - 4/7*c**5 + 0 = 0.
-1, 0, 1/2
Let j = 781 - 778. Let p(l) be the first derivative of 9/4*l**2 + 3*l - 4 + 1/2*l**j. Factor p(d).
3*(d + 1)*(d + 2)/2
Let o = 7588 + -53113/7. What is y in o*y**2 + 0*y + 0 = 0?
0
Let a be (-6)/(-45)*(54 + -48). Factor -o - 1/5*o**3 + a*o**2 + 2/5.
-(o - 2)*(o - 1)**2/5
Let f be ((-2)/5)/(-2 - (4 - 2)). Let d(b) be the second derivative of 0*b**3 + 9/40*b**5 + 1/4*b**4 + 0 + 0*b**2 - f*b**6 - 4*b. Factor d(l).
-3*l**2*(l - 2)*(2*l + 1)/2
Suppose 4 = -2*t - 4*u, 122*t - 14 = 119*t + 4*u. Factor -14/5*y**t - 2/5*y**3 - 2 - 22/5*y.
-2*(y + 1)**2*(y + 5)/5
Factor 5/2*u**2 - 40*u + 75/2.
5*(u - 15)*(u - 1)/2
Solve -3*f**2 + 1101/2*f**4 - 450*f**5 - 195/2*f**3 + 0*f + 0 = 0 for f.
-2/75, 0, 1/4, 1
Suppose 52*v**2 + 14 + 138*v + 10 - 120 + 2*v**3 + 96 = 0. Calculate v.
-23, -3, 0
Let f(s) be the first derivative of 0*s**2 + 4/27*s**3 + 8 + 0*s - 1/3*s**6 - 4/45*s**5 + 1/2*s**4. Let f(x) = 0. What is x?
-1, -2/9, 0, 1
Find f such that 88/13 + 2/13*f**2 + 48/13*f = 0.
-22, -2
Let z(d) = -44*d**3 + 496*d**2 - 956*d + 408. Let h(a) = 4*a**3 - 45*a**2 + 87*a - 37. Let q(x) = 32*h(x) + 3*z(x). Factor q(i).
-4*(i - 10)*(i - 1)**2
Let p(y) be the first derivative of -1/10*y**5 + 3 - 3/2*y**3 + 5/8*y**4 - y + 7/4*y**2. Determine l, given that p(l) = 0.
1, 2
Let v(o) be the first derivative of 5/4*o**2 + 20 + 2/3*o**3 + o + 1/8*o**4. Factor v(b).
(b + 1)**2*(b + 2)/2
Let w(q) be the third derivative of 0 - 1/30*q**5 + 1/4*q**4 + 4/3*q**3 + 0*q - 22*q**2. Factor w(d).
-2*(d - 4)*(d + 1)
Let h = 10078 + -10078. Suppose 2/9*c**2 - 2/9*c**3 + 0 + 2/9*c**5 + h*c - 2/9*c**4 = 0. What is c?
-1, 0, 1
Let h(r) = -r**2 + 3*r - 12. Let l be h(0). Let a be (-6)/(-5)*(-30)/l. Determine i so that -4/9*i**2 + 14/9*i**a - 14/9*i + 4/9 = 0.
-1, 2/7, 1
Let p be 2 - ((5 - 3) + -2). Suppose -163*r + 5*r**3 - 193*r + 25*r**p + 15 + 391*r = 0. Calculate r.
-3, -1
Let m be (-4 + 3)/((-1)/1). Suppose -r - 3 = 0, 2 - m = -w - r. Factor -4*t**2 + 6*t**3 + 4 + 4*t**w - 6*t - 4*t**2.
2*(t - 1)*(t + 1)*(3*t - 2)
Suppose 0 = 8*x - 2*x - 18. Let j be x/((-39)/2) - 110/(-715). Factor 32/5*m**5 + 2*m**3 + 0 + j*m - 32/5*m**4 - 1/5*m**2.
m**2*(2*m - 1)*(4*m - 1)**2/5
Let o(d) = -3*d**2 + 38*d - 25. Let x be o(12). Let l be x + (8/10)/((-2)/(-10)). Factor 0 - 1/4*h**5 + 0*h + 1/2*h**2 - 5/4*h**l + h**4.
-h**2*(h - 2)*(h - 1)**2/4
Let l(y) = 4*y**2 + 6*y + 62. Let n(u) = -3*u**2 - 8*u - 53. Let h(b) = -4*l(b) - 5*n(b). Factor h(g).
-(g - 17)*(g + 1)
Let p(s) be the second derivative of -s**7/2520 + s**6/720 + s**5/60 + 2*s**4/3 - 26*s. Let o(c) be the third derivative of p(c). Suppose o(r) = 0. What is r?
-1, 2
Let r(w) be the first derivative of w**7/294 + w**6/210 - w**5/140 - w**4/84 - 5*w - 22. Let l(k) be the first derivative of r(k). Factor l(z).
z**2*(z - 1)*(z + 1)**2/7
Let y(n) be the first derivative of 13 + 0*n - 1/8*n**2 + 1/16*n**4 + 0*n**3. Factor y(d).
d*(d - 1)*(d + 1)/4
Let k = 4051 + -4051. Determine l, given that k - 8/7*l + 4/7*l**2 = 0.
0, 2
Let d(i) = i**3 - 8*i**2 - 11*i + 21. Let z be d(9). Let h be 2/(-6) + 28/48. Factor -1/4*r**2 + 1/4*r**z + h - 1/4*r.
(r - 1)**2*(r + 1)/4
Let j(z) be the third derivative of -z**8/392 + 33*z**7/245 + 17*z**6/70 - 2*z**2 + 209*z. Factor j(s).
-6*s**3*(s - 34)*(s + 1)/7
Let x = -17554/3 - -5852. Factor 2/3*p**2 + 2/3*p**3 - x - 2/3*p.
2*(p - 1)*(p + 1)**2/3
Let b(r) be the third derivative of r**5/150 + 71*r**4/30 + 5041*r**3/15 - 5*r**2 - 6. Let b(u) = 0. Calculate u.
-71
Let m be ((-147)/(-63))/(3/9). Let d(s) be the second derivative of m*s - 1/30*s**4 + 0 + 0*s**3 + 1/5*s**2. Determine z so that d(z) = 0.
-1, 1
Suppose 2*x**3 + 56/5*x + 44/5*x**2 + 16/5 = 0. What is x?
-2, -2/5
Let g(m) be the first derivative of -m**7/840 - m**6/360 + m**5/120 + m**4/24 + 4*m**3/3 - 15. Let b(u) be the third derivative of g(u). Factor b(s).
-(s - 1)*(s + 1)**2
Let d(o) be the second derivative of -o**7/21 - 82*o**6/15 - 1597*o**5/10 + 574*o**4 - 588*o**3 + 182*o. Solve d(b) = 0.
-42, 0, 1
Let j(m) be the second derivative of -m**5/5 + m**4/3 - m - 91. Determine w so that j(w) = 0.
0, 1
Let l = -20 - -23. Suppose -2*p + p = -33. Factor -17*i - l*i - 2 + p*i**2 - 6 - 45*i**2.
-4*(i + 1)*(3*i + 2)
Let o = -9 + 16. Let r = -4 + o. Suppose -4*b**3 + 3*b**4 + b**r - 2*b**4 + 2*b**4 = 0. What is b?
0, 1
Let j(r) be the second derivative of r**7/105 + r**6/30 - r**5/30 - r**4/6 - 9*r**2/2 - 8*r. Let c(d) be the first derivative of j(d). Solve c(m) = 0 for m.
-2, -1, 0, 1
Let f(v) = -3*v**4 - 6*v**3 - 11*v**