k + 2*o - o**4 = 0 for o.
-1, 1
Let u(b) be the second derivative of -b**4/3 + 4*b**3/3 + 6*b**2 + 165*b. Factor u(c).
-4*(c - 3)*(c + 1)
Let v(w) be the second derivative of 2*w**7/21 - 2*w**6/15 - 3*w**5/5 + w**4/3 + 4*w**3/3 - 21*w - 1. Factor v(b).
4*b*(b - 2)*(b - 1)*(b + 1)**2
What is f in 110*f - 4512*f**4 + 155*f**2 - 30 + 35*f**5 + 2240*f**4 - 145*f**3 - 10 + 2157*f**4 = 0?
-1, 2/7, 1, 4
Let w(d) = -2*d + 8*d - 5 - 7*d. Let m be w(-7). Factor a**2 + 361*a - a**3 + 1 - m - 360*a.
-(a - 1)**2*(a + 1)
Let t = -241 - -243. Let b(k) be the first derivative of -5/7*k**t - 9/14*k**4 - 2 - 32/21*k**3 + 4/7*k. Factor b(q).
-2*(q + 1)**2*(9*q - 2)/7
Let w(l) = 14*l**2 - 8*l + 8. Let c(r) = -12*r**2 + 8*r - 8. Let q(i) = 6*c(i) + 5*w(i). Factor q(h).
-2*(h - 2)**2
Let u(h) be the second derivative of 1/18*h**3 + 0 + 8*h + 0*h**2 + 1/8*h**5 - 17/72*h**4. Factor u(x).
x*(x - 1)*(15*x - 2)/6
Let w(p) be the third derivative of -2*p**7/735 - 13*p**6/420 + 4*p**5/35 - p**4/84 - 8*p**3/21 + 6*p**2 - 32. Suppose w(o) = 0. Calculate o.
-8, -1/2, 1
Let p = -1/15 - -61/240. Let b(u) be the first derivative of 0*u + p*u**4 - 1/20*u**5 - 1/4*u**3 + 1/8*u**2 + 7. Determine s, given that b(s) = 0.
0, 1
Let i(h) = 96*h - 4. Let g be i(-1). Let s = 105 + g. Find t, given that 32/7*t**3 - 6/7*t**2 - 4/7*t - 30/7*t**4 + 8/7*t**s + 0 = 0.
-1/4, 0, 1, 2
Let j(q) = -q**2 + 6*q + 4. Let i(t) = -t**3 + 11*t**2 - 10*t + 6. Let x be i(10). Let m be j(x). Factor 10*u**4 + 0 - 8*u**4 + 0 - m*u - 2 + 4*u**3.
2*(u - 1)*(u + 1)**3
Solve 8 - 2/5*y**2 - 16/5*y = 0.
-10, 2
Let b = -13521 - -175779/13. Find h, given that -48/13*h**3 - 4/13*h**4 + b*h**5 - 64/13 + 96/13*h + 32/13*h**2 = 0.
-2, 2/3, 2
Factor 2/7 + 48/7*w**2 - 18/7*w - 32/7*w**3.
-2*(w - 1)*(4*w - 1)**2/7
Suppose 24115*z**3 - 20*z + 2 + 5*z - 36*z**2 - 24134*z**3 = 0. Calculate z.
-1, 2/19
Let l be (-12)/(-15) + (-12)/(-10). Suppose 763*c**l - 3 + 1 - c**3 - 761*c**2 + c = 0. What is c?
-1, 1, 2
Factor 208/5*p**2 + 192/5*p + 4/5*p**4 - 61/5*p**3 + 0.
p*(p - 8)**2*(4*p + 3)/5
Find n such that 112/9*n - 8*n**3 + 80/9*n**2 - 6*n**4 + 3*n**5 + 32/9 = 0.
-2/3, 2
Let i = 0 + 10. Let t be (-4 + i/3)/(2/(-6)). Find b, given that 2/5*b**4 + 4/5 - t*b**3 + 18/5*b**2 - 14/5*b = 0.
1, 2
Let c be (-357)/(-35) + (-150)/15. Let u(y) be the first derivative of 0*y + 12 + 1/15*y**3 + c*y**2. Solve u(m) = 0 for m.
-2, 0
Let u(m) be the third derivative of -m**7/490 - m**6/70 - m**5/35 + 25*m**2 + 3*m. Suppose u(b) = 0. What is b?
-2, 0
Let q(n) be the second derivative of n**6/180 + n**5/12 + n**4/3 + 7*n**3/3 + 9*n. Let o(p) be the second derivative of q(p). Determine f so that o(f) = 0.
-4, -1
What is u in 108/5 + 39/5*u + 1/5*u**2 = 0?
-36, -3
Let r(d) be the first derivative of -d**6/2 - 57*d**5/5 - 60*d**4 + 100*d**3 + 56. Solve r(f) = 0.
-10, 0, 1
Let n(y) be the second derivative of y**5/240 - 3*y**4/16 + 27*y**3/8 - 9*y**2 - 44*y. Let t(k) be the first derivative of n(k). Solve t(c) = 0.
9
Factor 2 - 17/2*x + 2*x**2.
(x - 4)*(4*x - 1)/2
Let p(k) = 30*k**3 - 240*k**2 + 295*k - 65. Let y(g) = 15*g**3 - 119*g**2 + 148*g - 32. Let v(r) = -3*p(r) + 5*y(r). Let v(d) = 0. What is d?
1/3, 1, 7
Let m(k) be the third derivative of -k**7/735 - k**6/84 - k**5/70 + 5*k**4/84 + 4*k**3/21 + 40*k**2. Find b, given that m(b) = 0.
-4, -1, 1
Let d(l) be the second derivative of 0 + 1/180*l**6 + 0*l**4 + l**3 + 2*l + 0*l**2 + 1/30*l**5. Let p(c) be the second derivative of d(c). Factor p(r).
2*r*(r + 2)
Let h(q) = 5*q**2 - q + 12. Let d(n) = -5*n**2 - 1 + n**2 + 3*n**2 - 2. Let x(z) = -18*d(z) - 4*h(z). Factor x(g).
-2*(g - 3)*(g + 1)
Let c = 799 - 796. Let r(t) be the third derivative of 0*t + 7*t**2 + 0*t**c + 4/105*t**5 + 0*t**4 + 0 - 1/210*t**6. Suppose r(p) = 0. What is p?
0, 4
Suppose 1 = 3*j - 71. Let i = -118 - -166. Factor i*w - j*w + 5*w**2 - 24*w.
5*w**2
Suppose -5 = -2*m - 1. Solve -108*q**4 - 25*q**5 - 45*q**3 + 10*q + 0*q + 43*q**4 + 5*q**m = 0 for q.
-1, 0, 2/5
Let z(o) be the first derivative of -8*o**5/25 - 3*o**4/5 + 8*o**3/3 + 24*o**2/5 - 32*o/5 + 9. Let z(c) = 0. What is c?
-2, 1/2, 2
Let y(r) be the first derivative of -3 - 2/7*r**3 + 2/35*r**5 - 4/7*r**2 + 1/7*r**4 + 8/7*r. Determine p, given that y(p) = 0.
-2, 1
Let y(p) be the second derivative of p**7/14 + 9*p**6/10 + 63*p**5/20 + 19*p**4/4 + 3*p**3 + 3*p - 9. Factor y(m).
3*m*(m + 1)**3*(m + 6)
Let z(s) be the second derivative of -3*s**6/50 + 3*s**5/4 - 2*s**4/5 - 7*s - 5. Find h, given that z(h) = 0.
0, 1/3, 8
Let i(x) be the second derivative of -x**5/60 - x**4/9 - 5*x**3/18 - x**2/3 + 16*x. Find n such that i(n) = 0.
-2, -1
Let m = -90 + 92. Let y(q) be the third derivative of 1/630*q**7 + 1/120*q**6 - 4*q**m + 0 + 0*q**5 + 0*q - 1/18*q**4 + 0*q**3. Factor y(h).
h*(h - 1)*(h + 2)**2/3
Let j(v) be the third derivative of v**7/10 - 33*v**6/40 + 39*v**5/20 - 7*v**4/8 - 3*v**3 - 38*v**2 + 2*v. Suppose j(u) = 0. What is u?
-2/7, 1, 3
Let z(u) = 60*u**2 + 88*u - 4. Let n be (-3)/(-15) - 24/(-5). Let g(h) = 29*h + 7*h**2 + 20*h**2 - 2 - 7*h**2 + 1. Let t(b) = n*z(b) - 16*g(b). Factor t(a).
-4*(a + 1)*(5*a + 1)
Let d(a) be the third derivative of -1/12*a**5 + 0*a**4 - 16*a**2 + 0*a**3 + 0 + 1/24*a**6 + 0*a. Factor d(s).
5*s**2*(s - 1)
Let d(c) be the second derivative of -c**6/1080 + 11*c**5/180 - 121*c**4/72 + 15*c**3/2 - 10*c. Let n(r) be the second derivative of d(r). Factor n(a).
-(a - 11)**2/3
Let y(c) be the first derivative of -8*c**4/7 + 80*c**3/7 - 57*c**2/7 + 2*c + 76. Factor y(r).
-2*(r - 7)*(4*r - 1)**2/7
Let t(p) be the first derivative of -2*p**5/75 + 2*p**4/15 + 4*p**3/45 - 4*p**2/5 - 6*p/5 - 154. Find r such that t(r) = 0.
-1, 3
Let d(w) be the first derivative of 21/40*w**5 - 6*w - 1/20*w**6 + 5*w**3 - 6*w**2 - 9/4*w**4 - 1. Let x(v) be the first derivative of d(v). Factor x(a).
-3*(a - 2)**3*(a - 1)/2
Let g(a) be the first derivative of 2*a**3/33 - 8*a**2/11 - 81. Factor g(q).
2*q*(q - 8)/11
Let a(v) be the third derivative of -4/9*v**4 + 7/90*v**5 + 0 + 0*v + 3*v**2 + 4/9*v**3. Let a(c) = 0. What is c?
2/7, 2
Suppose 0 = 3*w - 11*w + 7*w. Let g(s) be the third derivative of -4*s**2 + 1/5*s**3 + w + 1/900*s**6 + 1/12*s**4 + 0*s + 7/450*s**5. What is r in g(r) = 0?
-3, -1
Let u = -21477 - -107407/5. Factor -u*f - 8/5*f**2 + 6/5.
-2*(f + 3)*(4*f - 1)/5
Let v(g) = -16*g + 8. Let q(n) = n**2 + 2*n + 1. Let u(c) = 2*q(c) + v(c). Find l such that u(l) = 0.
1, 5
Let q(h) be the third derivative of -1/90*h**5 + 0*h + 1/36*h**4 + 0 + 5*h**2 + 0*h**3. Factor q(r).
-2*r*(r - 1)/3
Let h be 12/((-144)/(-975)) - 4*1. Let m = h + -77. Factor -1/4*k**3 + m*k - 1/4 + 1/4*k**2.
-(k - 1)**2*(k + 1)/4
Let d(z) be the third derivative of z**5/240 + 25*z**4/48 + 625*z**3/24 - 342*z**2. Find t such that d(t) = 0.
-25
Determine t, given that 62124*t - 42*t**3 - 61956*t - 9*t**4 - 6*t**4 + 69*t**2 - 36 = 0.
-3, -2, 1/5, 2
Let a(b) be the first derivative of 3*b**5/20 - b**3/2 - 10*b - 9. Let t(i) be the first derivative of a(i). Factor t(x).
3*x*(x - 1)*(x + 1)
Let o(r) be the second derivative of -r**4/12 + 11*r**3/6 - 15*r**2 + 11*r. Let o(z) = 0. What is z?
5, 6
Let f be 1/(-3 + 0)*-12. Suppose f = -4*x, -4*c - c + 11 = -x. Factor 2*w**2 - 3*w - 4*w**c + 0*w - w**2.
-3*w*(w + 1)
Let u(c) = 3*c**2 - 6*c - 6. Let l(v) = -v**2 + 1. Let k(a) = -4*l(a) - u(a). Let y be k(-6). Factor 1/2*g**y + 0 - 1/6*g + 1/6*g**4 - 1/2*g**3.
g*(g - 1)**3/6
Let g(q) be the second derivative of 1/36*q**4 + 1/120*q**5 + 0*q**2 - 1/12*q**3 + 3*q + 0. Let g(m) = 0. Calculate m.
-3, 0, 1
Let g(p) = -6*p**2 + 2*p + 5. Let b(a) = 9*a**2 - 3*a - 8. Let c(r) = -5*b(r) - 8*g(r). Let w be c(1). Factor 4 + 5*u**2 + 0*u**w - 6*u**2.
-(u - 2)*(u + 2)
Factor 30*y**2 + 3 - 30*y**3 + 4570*y**5 + 15*y**4 - 2286*y**5 - 15*y - 2287*y**5.
-3*(y - 1)**5
Let c(s) be the first derivative of -28 + 1/2*s**2 + 7/3*s**3 - 1/4*s**4 - 7*s. Let c(u) = 0. Calculate u.
-1, 1, 7
Let r(k) be the first derivative of k**6/180 - 10*k**3 - 30. Let l(d) be the third derivative of r(d). Factor l(p).
2*p**2
Let j(k) = 80*k**4 + 80*k**3 - 320*k**2 - 270*k - 25. Let a(w) = -13*w**4 - 13*w**3 + 53*w**2 + 45*w + 4. Let q(r) = 25*a(r) + 4*j(r). Solve q(z) = 0.
-3, -1, 0, 3
Let l(f) be the third derivative of -f**9/80640 + f**8/8960 - f**7/