3 - 16 - 7/12*r**4 + r. Determine g, given that c(g) = 0.
-2, -2/7
Let p = 17/30 - -1/10. Let l be (40/(-72))/((-10)/6). Factor 0 + p*n**2 + 1/3*n**3 + l*n.
n*(n + 1)**2/3
Let p(z) = -z**2 + 8*z - 14. Let h be p(4). Factor -5*k**2 + 1 - 5*k**2 + 18*k**h - 7*k**2 - 2*k.
(k - 1)**2
Suppose -3*v + h - 5*h + 20 = 0, 27 = 4*v + 5*h. Factor 48*g - g + 5*g - v - 44*g**2.
-4*(g - 1)*(11*g - 2)
Let b = 328 + -324. Suppose -b*k + 10 = -2. Determine i so that 2/5*i**4 + 0 + 0*i - 1/5*i**k + 0*i**2 - 1/5*i**5 = 0.
0, 1
Let j(s) be the first derivative of 3*s**5/5 - 9*s**4/2 + 5*s**3 + 18*s**2 + 72. Determine p, given that j(p) = 0.
-1, 0, 3, 4
Let x be (34/102)/(0 + (-1)/(-15)). Suppose 0 = 2*t - 5*m - 24, -4*t - 2*m + x*m = -20. Factor 0 + 4/7*i**t + 0*i - 4/7*i**3.
-4*i**2*(i - 1)/7
Let q(t) be the first derivative of -1/2*t**3 + 1/6*t**2 - 4/15*t**5 - 5*t - 6 + 2/3*t**4. Let m(b) be the first derivative of q(b). Factor m(h).
-(h - 1)*(4*h - 1)**2/3
Let k(r) = -114*r**2 + 546*r - 768. Let i(o) = 7*o**2 - 34*o + 48. Let y(z) = -33*i(z) - 2*k(z). Determine m, given that y(m) = 0.
2, 8
Let d(j) = 25 - 32 - 10 - 4*j. Let o be d(-8). Find s such that -2*s - 5*s**3 + o - 15*s**2 + 6*s + s = 0.
-3, -1, 1
Let x = 314/455 + -17/65. Suppose x*n + 1/7*n**3 + 9/7 - 5/7*n**2 = 0. What is n?
-1, 3
Suppose -4*d = -0*d - 12. Suppose d*s - 7 = 11. Factor -6*y**4 + 12*y**5 + 6*y**2 + s*y - 15*y**5 - 3*y.
-3*y*(y - 1)*(y + 1)**3
Let a(z) = 0*z**2 + 16 - 9 - 2*z + 0*z**2 - z**2. Let d be a(-3). Suppose -2/3*f + 2/3*f**3 + 2/3*f**d - 2/3*f**2 + 0 = 0. What is f?
-1, 0, 1
Let j(h) be the third derivative of -h**6/80 + 7*h**5/40 - h**4 + 3*h**3 + 44*h**2 + 1. Find c such that j(c) = 0.
2, 3
Let d be 4/3*(-5 + 2 + 21). Let x be d/18*3/2. Factor -2/5 - 1/5*o**3 - o - 4/5*o**x.
-(o + 1)**2*(o + 2)/5
Solve 0 + 2*o**2 + 0*o**3 - 4/3*o - 2/3*o**4 = 0.
-2, 0, 1
Let l(y) be the third derivative of -16*y**2 + 1/1680*y**8 + 1/150*y**5 + 0*y**7 - 1/150*y**6 + 1/40*y**4 + 0*y - 1/15*y**3 + 0. Factor l(a).
(a - 1)**3*(a + 1)*(a + 2)/5
Let r(t) be the first derivative of t**5/20 - t**4/4 + 5*t**3/12 - t**2/4 - 66. Determine c so that r(c) = 0.
0, 1, 2
Let c = 119 + -116. Determine g, given that -c*g - 2*g**4 + 6*g**3 - 4*g + 4*g**4 - g = 0.
-2, 0, 1
Let q(s) be the second derivative of -s**5/70 + 11*s**4/84 - 13*s**3/42 + 2*s**2/7 + 5*s - 1. Find z such that q(z) = 0.
1/2, 1, 4
Suppose -4*k = -2*r + 114, 5*k - 4*r = -3*r - 147. Let f be 16/k*1*(-120)/144. Factor f*o**3 - 2/9*o**2 - 2/9*o**4 + 0*o + 0.
-2*o**2*(o - 1)**2/9
Suppose 4 = -6*u + 22. Suppose -u*g = 2*g. Factor g + 0*i + 1/2*i**2 + 1/4*i**3.
i**2*(i + 2)/4
Let h(n) be the third derivative of n**7/420 + n**6/60 + n**5/30 + n**2 + 80. Suppose h(p) = 0. Calculate p.
-2, 0
Let h be (-63)/(-28) - (-1)/(-4). Let g = -558 + 1682/3. Suppose 98/3*o**h - 56/3*o + g = 0. Calculate o.
2/7
Let i = -17712 + 17714. Factor -1/3*f**i - 6*f - 27.
-(f + 9)**2/3
Solve 13*c + 1 + 5*c**2 - 86 - 5 + 22*c = 0 for c.
-9, 2
Let d be (-1 - 17)*14/(-42). Let j be (3 + (-210)/54)/((-4)/d). Find a such that -2/3*a**3 - 2/3*a**2 + 0 + j*a = 0.
-2, 0, 1
Let o(b) = -b**2 - 15*b - 23. Let s be o(-13). Determine x, given that -12 - 17*x + 4*x**2 + 5*x**2 + 5*x + 33*x**3 - 21*x**s + 3*x**4 = 0.
-2, -1, 1
Suppose 15*s + 6 - 51 = 0. Let c(g) be the second derivative of -3/10*g**5 - 1/12*g**s + 0*g**2 + 0 + 7/24*g**4 + 5*g. Suppose c(a) = 0. What is a?
0, 1/4, 1/3
Suppose 29*f**5 + 8*f**3 + 2*f**3 - 53*f**5 - 7*f**4 + 16*f**2 + 23*f**5 = 0. Calculate f.
-8, -1, 0, 2
Let z be (93 - 121)*4/(-14) + -1*5. Solve 3/5*w**2 + 0 - 3*w**z + 0*w = 0 for w.
0, 1/5
Factor 0 - 24*l - 4/5*l**3 - 68/5*l**2.
-4*l*(l + 2)*(l + 15)/5
Let l be -11*1/(-3) - (-98)/(-147). Factor 2*j**3 - 5*j + 2 + j**2 - 4*j**3 + 3*j**l + 1.
(j - 1)**2*(j + 3)
Let b(h) = -h**3 + 10*h**2 - 10*h + 19. Let m be (9/9)/((-1)/(-9)). Let q be b(m). Solve x**2 + q*x + 4*x + 25 - 3*x - x = 0.
-5
Let k(i) = i**2. Let p(a) be the third derivative of 3*a**5/20 - 23*a**2. Let w(y) = -12*k(y) + p(y). Factor w(t).
-3*t**2
Factor -7*g**3 - 12*g**3 - 11*g**3 - 3*g**4 + 42*g**3 - 12*g + 9 - 6*g**2.
-3*(g - 3)*(g - 1)**2*(g + 1)
Factor 16/13*h + 0*h**3 + 12/13*h**2 + 6/13 - 2/13*h**4.
-2*(h - 3)*(h + 1)**3/13
Let g(l) be the third derivative of -l**5/12 - 25*l**4/6 - 250*l**3/3 - 5*l**2 - 10. Find v, given that g(v) = 0.
-10
Solve 8/7 - 2/7*w**2 - 88/7*w + 22/7*w**3 = 0.
-2, 1/11, 2
Let u(a) be the first derivative of 25*a**4/12 + 5*a**3/3 + a**2/2 + 7*a + 8. Let f(b) be the first derivative of u(b). Find z, given that f(z) = 0.
-1/5
Let h(a) = 12*a - 4*a**2 + 3*a**2 + 2*a**2 + 7*a**2 + 8. Let n(i) = 1 + 3 - 2 - 3. Let m(f) = h(f) + 4*n(f). Determine z, given that m(z) = 0.
-1, -1/2
Let r(v) be the second derivative of -v**4/66 + 8*v**3/33 + 48*v**2/11 + 4*v + 4. Solve r(j) = 0.
-4, 12
Let p(h) be the first derivative of -7/18*h**4 - 8/27*h**3 + 4/9*h**5 + 1/9*h**2 + 0*h - 33. Find i such that p(i) = 0.
-1/2, 0, 1/5, 1
Let h(x) be the second derivative of -x**6/10 - 81*x**5/10 + 14*x**4 + 27*x**3 - 165*x**2/2 - 19*x. Let h(y) = 0. Calculate y.
-55, -1, 1
Let v be (-230)/(-26) - (-3 + (-4)/(-2)). Factor -18/13*a**3 - v*a + 40/13 + 114/13*a**2.
-2*(a - 5)*(3*a - 2)**2/13
Let b(s) be the third derivative of -s**5/270 - s**4/18 - 5*s**3/27 + 100*s**2. Find u such that b(u) = 0.
-5, -1
Let u = 2 + -1. Let n(a) = 6*a**3 + 10*a**2 + 4*a - 8. Let h(c) = -8*c**2 + c**3 - 2*c**3 + 1 + 7*c**2. Let x(f) = u*n(f) + 8*h(f). Factor x(y).
-2*y*(y - 2)*(y + 1)
Let n = -24941 - -49891/2. Determine p, given that n*p - 21/4 + 3/4*p**2 = 0.
-7, 1
Let w be (-4)/(-10) + (0 - 32/(-20)). Let i(d) = -d - 3. Let x be i(-5). Factor q**x + 6*q - 4*q**w - 3*q.
-3*q*(q - 1)
Let d(s) be the third derivative of 1/8*s**4 + 0 + 0*s**3 - 1/10*s**5 + 1/40*s**6 + 0*s + 19*s**2. Factor d(j).
3*j*(j - 1)**2
Suppose 5*x + 3*a - 25 = 0, -2*x + 53*a = 48*a - 10. Let -2/3*t**2 - 2/3*t**3 + 0 + 14/9*t**4 + 4/9*t - 2/3*t**x = 0. Calculate t.
-2/3, 0, 1
Let g be 1*((-12)/3 - -7). Let w(d) be the third derivative of 7*d**2 + 1/96*d**6 + 0*d + 0 + 1/6*d**g + 1/80*d**5 - 1/8*d**4. Suppose w(h) = 0. Calculate h.
-2, 2/5, 1
Let s(l) be the second derivative of 1/20*l**4 + l**2 - 1/100*l**5 + 0 - 2*l - 1/10*l**3. Let n(z) be the first derivative of s(z). Factor n(i).
-3*(i - 1)**2/5
Let a be (-555 + 2)/(6 - 2). Let f = 139 + a. Factor 0 - 3/4*x - 9/4*x**3 + 9/4*x**2 + f*x**4.
3*x*(x - 1)**3/4
Let b(t) = t**3 + 28*t**2 + 192*t + 3. Let g be b(-16). Factor 16*j + 9/4*j**4 + 4 + 12*j**g + 22*j**2.
(j + 2)**2*(3*j + 2)**2/4
Let f(m) be the second derivative of -m**6/60 + m**5/20 + m**4/24 - m**3/6 - 151*m + 2. Suppose f(h) = 0. What is h?
-1, 0, 1, 2
Let z = 158 + -472/3. Factor 1/2 - z*d**2 - 11/6*d.
-(d + 3)*(4*d - 1)/6
Let v(p) be the first derivative of 0*p - 11 - 3/7*p**2 + 10/21*p**3 + 1/7*p**4. Find f such that v(f) = 0.
-3, 0, 1/2
Let o(q) = -q**3 - 24*q**2 - 33*q + 244. Let n be o(-22). Let h(a) be the second derivative of 0*a**n + 4/3*a**3 + 0 + 14*a + 1/3*a**4. Factor h(z).
4*z*(z + 2)
Let b(u) be the third derivative of 3/40*u**6 + 0*u + 2/35*u**7 + 0 + 18*u**2 - 3/8*u**4 - 1/4*u**5 + 1/2*u**3. Suppose b(w) = 0. What is w?
-1, 1/4, 1
Let z(m) be the first derivative of -4*m**3/3 + 252*m**2 - 15876*m + 72. Determine r so that z(r) = 0.
63
Suppose -6*u = -u - 20. Solve -5*h**u + 4*h**4 - 2*h**3 + h**4 - 2*h**4 = 0 for h.
-1, 0
Let p(n) be the second derivative of -5*n**9/3024 + n**7/168 - n**3/3 + 14*n. Let a(z) be the second derivative of p(z). Factor a(j).
-5*j**3*(j - 1)*(j + 1)
Factor -2/5*u**2 - 48/5*u - 288/5.
-2*(u + 12)**2/5
Suppose 31*r = 36*r - 2*l, 5*r - l = 5. Factor 2/7*q**3 - 12/7*q**r + 12/7 - 2/7*q.
2*(q - 6)*(q - 1)*(q + 1)/7
Find a, given that -2/3*a**2 + 8/3 + 2/3*a**3 - 8/3*a = 0.
-2, 1, 2
Let w(v) be the first derivative of -2 + 0*v**2 + 2*v**3 + 0*v + 0*v**4 + 1/270*v**6 + 0*v**5. Let r(n) be the third derivative of w(n). Factor r(y).
4*y**2/3
Factor -52*k**2 + 234*k - 46*k - 2226*k**3 + 2230*k**3 - 140.
4*(k - 7)*(k - 5)*(k - 1)
Let k(d) = -d + 16. Let m be k(13). Find h such that -3*h**5 - 17*h**3 + 31*h**m - 11*h**3 = 0.
-1, 0, 1
Let z(l) be the second derivative of -l**7/2016 - l**6/64 + 5*l**5/48 + 35*l**4/12 - 24*l. Let k(i) be the third 