h(c) = 0. Calculate c.
-2, -1, 0, 1
Let b(x) = 5*x + 297. Let m be b(-59). Determine r so that -4/5*r - 2/5 - 2/5*r**m = 0.
-1
Factor 0*o - 1/8*o**3 + 0 - 5/2*o**2.
-o**2*(o + 20)/8
Suppose -m**3 - 3*m**3 - m**3 + m**3 + m**3 + 6*m**2 = 0. What is m?
0, 2
Let f(a) be the first derivative of -a**4/4 - 5*a**3/3 - 4*a**2 - 4*a + 237. Factor f(z).
-(z + 1)*(z + 2)**2
Factor 50/13 - 4*u + 2/13*u**2.
2*(u - 25)*(u - 1)/13
Let u = 3 + -1. Let o be (-1)/2*(-16)/2. Factor d**u + 0*d - 2*d**o + 2 + 8*d - 7*d**2 + 6 - 8*d**3.
-2*(d - 1)*(d + 1)*(d + 2)**2
Let r(p) = 4*p - 7. Let y be r(4). Suppose -10*k = -y - 11. Solve 1/6*u**k + 1/2*u + 1/3 = 0 for u.
-2, -1
Suppose -2*p + 3*d + 18 = -p, -5*p = d - 10. Suppose 5*g + 5 - 10 = 0. Let 0*y**4 - g + 0*y + 4*y**4 + 2*y - p*y**4 - 2*y**3 = 0. What is y?
-1, 1
Suppose -2807*w + 19431 + 3637*w + 12569 + 240*w**2 + 3970*w + 4*w**3 = 0. Calculate w.
-20
Let u = 464 - 462. Factor 3/2*t**u - 1/2*t**3 - t + 0.
-t*(t - 2)*(t - 1)/2
Suppose -33/8*k + 9/2 - 3/8*k**2 = 0. Calculate k.
-12, 1
Let d be 4/6 + (-32)/12. Let f(h) = -3*h - 6. Let x be f(d). Factor -2*t**5 + 18/7*t**4 + 0 + 0*t**2 + x*t - 4/7*t**3.
-2*t**3*(t - 1)*(7*t - 2)/7
Let v(c) be the first derivative of 5*c**6/6 - 7*c**5 + 45*c**4/2 - 100*c**3/3 + 20*c**2 + 132. Suppose v(l) = 0. What is l?
0, 1, 2
Let u = -390 + 33932/87. Let j = 164/435 + u. Solve 0*f + 2/5*f**2 - 2/5*f**4 + j*f**3 - 2/5*f**5 + 0 = 0.
-1, 0, 1
Let u be ((-2)/6)/(-4 - 115/(-30)). Let q be 2*(u - (-6)/(-15)). What is n in q*n - 2*n**2 - 8/5 + 2/5*n**3 = 0?
1, 2
Let q(p) be the first derivative of p**4/4 + 3*p**3 + 12*p**2 + 8*p + 11. Let c(j) be the first derivative of q(j). Determine o, given that c(o) = 0.
-4, -2
Factor -88/7 - 394/7*j + 9/7*j**2.
(j - 44)*(9*j + 2)/7
Factor -3*y**3 + 0*y + 8/3*y**2 + 0 + 1/3*y**4.
y**2*(y - 8)*(y - 1)/3
Let f be ((-6)/(-168)*12)/(1 + 0). Let f*k**2 + 1/7*k**3 - 4/7 + 0*k = 0. What is k?
-2, 1
Suppose 5*f + 2 = -4*r, 7*r - 12 = 3*r + 2*f. Find t such that -1/5*t**r + 0 - 4/5*t = 0.
-4, 0
Let r(f) be the third derivative of f**11/1496880 - f**9/90720 - f**8/45360 + 37*f**5/60 + 23*f**2. Let x(i) be the third derivative of r(i). Factor x(m).
2*m**2*(m - 2)*(m + 1)**2/9
Let n(s) be the first derivative of -s**6/2 - 2*s**5/5 + 26*s**4/3 - 94*s**3/9 - 95*s**2/6 + 100*s/3 + 84. Determine w so that n(w) = 0.
-4, -1, 1, 5/3
Let d(u) = -u**2 + 11*u + 3. Let m be d(11). Factor -93*a**5 - 16*a**4 - 56*a**2 + 14*a**m - 58*a**3 - 8 + 91*a**5 - 34*a.
-2*(a + 1)**4*(a + 4)
Factor 0*k + 16*k - 101*k**2 + 4*k**3 + 0*k**3 + 117*k**2.
4*k*(k + 2)**2
Let j be (-12)/(-32) - 5/(120/(-87)). Factor 1/3*o**3 - 1/3*o**2 + j - 8/3*o.
(o - 2)**2*(o + 3)/3
Let a(w) be the second derivative of -w**5/450 - w**4/45 - 4*w**3/45 - 13*w**2/2 + 4*w. Let f(o) be the first derivative of a(o). Factor f(g).
-2*(g + 2)**2/15
Let r(n) = -22 + 0*n**3 + 23*n**2 - 3*n**3 - 6*n**3 - 21*n + 8*n**3. Let i be r(22). Factor -9/5*p**4 + 0 + i*p - 3/5*p**2 + 9/5*p**3 + 3/5*p**5.
3*p**2*(p - 1)**3/5
Let y = 17135 + -17133. Factor -2*s**4 + 4/7*s**y + 0 + 0*s + 10/7*s**3.
-2*s**2*(s - 1)*(7*s + 2)/7
Factor -14161/3 + 238/3*p - 1/3*p**2.
-(p - 119)**2/3
Let d = -60 - -71. Let d*s**2 + 8*s + 12 + 4*s + 3*s**3 - 8 = 0. What is s?
-2, -1, -2/3
Let f = 172 - 167. Suppose -g - 5*h = -2 - 0, 3*h = f*g - 10. Factor 3 + 3/4*p**g + 3*p.
3*(p + 2)**2/4
Let z(x) be the first derivative of 2*x**5/35 - 3*x**4/14 - 2*x**3/21 + 3*x**2/7 + 143. Determine g so that z(g) = 0.
-1, 0, 1, 3
Factor -17*u + 30 + 7*u + 6*u + 5*u**2 - 21*u.
5*(u - 3)*(u - 2)
Suppose -3*x + 2*x + 8 = 0. Suppose -2*b = 2*f - x - 0, 2 = 2*f. Factor -6 + 6*s**4 - 4*s**2 + b + 1 - 3*s**3 - 2*s**5 - s**3 + 6*s.
-2*(s - 1)**4*(s + 1)
Let w be 50/60*(-1)/(3/(-18)). Let h(o) be the second derivative of -1/9*o**3 - 4*o + 0 + 1/36*o**4 + 0*o**2 + 1/60*o**w. Factor h(b).
b*(b - 1)*(b + 2)/3
Suppose -g - 4*d = -2*g + 8, 0 = 3*g - 3*d - 15. Factor g*u + 10*u - 2 + 7*u**3 + 2*u**2 - 31*u + 10*u.
(u - 1)*(u + 1)*(7*u + 2)
Let u(k) be the first derivative of 2*k**5/5 - 70*k**4/3 + 3356*k**3/9 - 1012*k**2/3 - 1058*k/3 + 217. Find p, given that u(p) = 0.
-1/3, 1, 23
Let r(u) = 8*u - 20. Let i be r(4). Find x, given that -10 + 14 - 29*x + i + 45*x + 4*x**2 = 0.
-2
Let y(n) be the second derivative of -n**4/12 - 5*n**3/6 - 3*n**2 + 6*n + 26. Let y(t) = 0. Calculate t.
-3, -2
Let m be (-114)/(-38) - 27/(0 + -1). Suppose -40*f**2 + 5*f**4 + 30*f + 2*f**3 + m*f - 7*f**3 = 0. Calculate f.
-3, 0, 2
Let i(n) be the third derivative of 0*n + 6*n**2 + 0*n**3 + 0 + 1/420*n**7 - 1/80*n**6 - 1/48*n**4 + 1/40*n**5. Factor i(l).
l*(l - 1)**3/2
Suppose 0 = -4*i, -2*k - 5*i = -k. Let o(c) be the first derivative of k*c**4 - 2/5*c**5 + 0*c**2 + 2/3*c**3 + 5 + 0*c. Solve o(j) = 0 for j.
-1, 0, 1
Let j(g) be the third derivative of 7*g**6/240 - 13*g**5/120 - g**4/6 + g**3 - g**2 - 67*g. Factor j(t).
(t - 2)*(t + 1)*(7*t - 6)/2
Let y(p) be the second derivative of -1/2*p**2 + 3*p + 0*p**4 + 0 + 1/30*p**6 - 1/3*p**3 + 1/10*p**5. Factor y(g).
(g - 1)*(g + 1)**3
Let n = 63 + -156. Let y = n + 93. Determine d, given that -8/3*d - 98/3*d**3 + 56/3*d**2 + y = 0.
0, 2/7
Let t(g) be the first derivative of 0*g**5 + 0*g**3 + 1/20*g**6 + 0*g - g**2 - 6 + 0*g**4 - 1/70*g**7. Let d(r) be the second derivative of t(r). Factor d(q).
-3*q**3*(q - 2)
Let q(i) be the first derivative of -2*i**5/5 - 11*i**4/2 - 18*i**3 - 25*i**2 - 16*i - 400. Determine x, given that q(x) = 0.
-8, -1
Let c be (83/9 - 5) + (1 - 5). Let v = 23/18 + c. Factor v*z**4 + 15/2*z**2 + 3*z + 6*z**3 + 0.
3*z*(z + 1)**2*(z + 2)/2
Let i(f) = -f - 4. Let d be i(-7). Suppose 5*m - 2*k + 5*k = 15, m + d*k = 3. Factor -7*z**3 + z**3 + 3*z**m.
-3*z**3
Solve -116*o**3 - 19 + 7 + 138*o - 9*o**2 + 113*o**3 + 96 + 60 = 0.
-8, -1, 6
Let m(b) be the second derivative of 0 - 1/60*b**5 - 7*b - 1/30*b**6 + 0*b**3 + 0*b**2 + 0*b**4. Determine t, given that m(t) = 0.
-1/3, 0
Let s(i) = i**3 + 1. Suppose 9*n + 4*y + 18 = 4*n, 2*n + 12 = -4*y. Let v(b) = 4*b**3 - 2*b**2 - b + 5. Let k(u) = n*v(u) + 6*s(u). Let k(f) = 0. Calculate f.
-1, 1, 2
Let w = -53 - -56. Let 32*k - 9*k**3 - 14*k**4 + 13*k**w - 50*k**2 + 2*k**5 + 34*k**3 - 8 = 0. Calculate k.
1, 2
Let c(y) be the third derivative of 0 - 1/100*y**6 - 1/12*y**4 - 17*y**2 + 0*y + 1/5*y**3 - 11/150*y**5. Suppose c(f) = 0. What is f?
-3, -1, 1/3
Let d be (-6)/(-39) + (-140)/65. Let q be (2 + d + 0)/(-25 - -29). What is h in 2/7*h**2 + 6/7*h**4 + q - 2/7*h**5 + 0*h - 6/7*h**3 = 0?
0, 1
Suppose 4 + 1/2*u**5 - u**2 - 6*u + 11/2*u**3 - 3*u**4 = 0. Calculate u.
-1, 1, 2
Let j be (-20)/6*((-4)/(-8) - 2). Suppose 0 = z - 5, 0*y - y = -j*z + 23. Solve 3/5*m**y + 1/5*m**3 + 3/5*m + 1/5 = 0.
-1
Suppose -2*w - 5*w - 48 = -4*l, 0 = 4*l - 4*w - 36. Let o(u) be the first derivative of 4/3*u**3 + 0*u**2 + 0*u - l. Solve o(h) = 0 for h.
0
Let q(b) = -6*b**5 + 8*b**4 - 6*b**3 - b**2 + 19*b - 7. Let k(x) = x**5 - x**4 - x**3 - x + 1. Let g(y) = -21*k(y) - 3*q(y). Let g(s) = 0. Calculate s.
-4, -1, 0, 1, 3
Let a = 3/1228 - -1219/3684. Factor s**4 + 2/3*s**3 + 0*s**2 + 0 + 0*s + a*s**5.
s**3*(s + 1)*(s + 2)/3
Let o(u) be the third derivative of u**7/1365 + u**6/78 + u**5/26 - 5*u**4/78 - 16*u**3/39 - 490*u**2. Suppose o(g) = 0. Calculate g.
-8, -2, -1, 1
Let h(a) be the first derivative of 6 - 6*a + a**3 - 3/2*a**2. Factor h(z).
3*(z - 2)*(z + 1)
Let q(t) be the third derivative of -t**8/6720 - t**7/168 - 5*t**6/48 - 7*t**5/20 - 34*t**2. Let i(f) be the third derivative of q(f). Factor i(h).
-3*(h + 5)**2
Let a = -950 - -13301/14. Let s(n) be the second derivative of -a*n**4 + 0*n**2 + 1/70*n**5 - 4*n + 2/21*n**3 + 0. Find f such that s(f) = 0.
0, 1, 2
Suppose 6*g - 10*g + 16 = 0. Factor g*z**4 + 18*z**2 + 4*z + 10*z + 12*z**4 + 10*z**3 - 14*z**4 + 4.
2*(z + 1)**3*(z + 2)
Let r(u) be the third derivative of 15*u**8/112 - 55*u**7/7 - 803*u**6/24 - 155*u**5/3 - 65*u**4/2 + 186*u**2. What is a in r(a) = 0?
-1, -2/3, 0, 39
Let g = 136/33 + -38/11. Factor 2/3*x**2 + g + 5/3*x.
(x + 2)*(2*x + 1)/3
Let b be 2/4*(-5)/((-10)/48). Find n, given that -n**2 - 30*n - 31*n + 72*n + b = 0.
-1, 12
Let f(h) be the second derivative of -2*h**6/105 + 13*h**5/140 + h**4/4 - 19*h**3/21 + 4*h**2/7 - 60*h. Let f(r) = 0. Calculate r.
-2,