2 = 0. Calculate n.
-4, -2/3, 0, 1
Let d = 16 - 16. Let q(u) be the second derivative of 1/3*u**4 + 6*u + 0 + 0*u**2 + d*u**3 + 1/10*u**5. Solve q(i) = 0 for i.
-2, 0
Let h(g) = -6*g**2 - 14*g + 10. Let d(t) be the second derivative of t**4/12 + t**3/6 - 40*t. Let z(b) = 5*d(b) + h(b). Factor z(j).
-(j - 1)*(j + 10)
Let b(n) = 19*n + 309. Let z be b(-16). Let k(f) be the first derivative of 4 - 1/20*f**z - 1/16*f**4 + 0*f + 1/8*f**2 + 1/12*f**3. Solve k(j) = 0.
-1, 0, 1
Let a(p) = -5*p**3 + 3*p**2 + p + 14. Let s(u) = -3*u**3 + 2*u**2 + u + 8. Let m(t) = -4*a(t) + 7*s(t). Suppose m(g) = 0. What is g?
-1, 0, 3
Let o(x) = 194*x**2 - 1280*x + 154. Let c(k) = -39*k**2 + 256*k - 31. Let v(q) = -14*c(q) - 3*o(q). Factor v(l).
-4*(l - 7)*(9*l - 1)
Let -90*r**2 - 8*r**4 - 7*r**4 - 40*r + 4*r**2 - 70*r**3 - 14*r**2 = 0. Calculate r.
-2, -2/3, 0
Let i(v) be the second derivative of -2*v**7/7 - 3*v**6/10 + 63*v**5/20 - 17*v**4/4 + 3*v**3/2 - 54*v - 3. Determine l so that i(l) = 0.
-3, 0, 1/4, 1
Suppose 16*j + 24 = 24*j. Let v be (4 + -1)*(-4)/(-6). Factor -6*q**3 + 0*q**3 + 2*q**3 + 9*q + 7*q**3 + j + 9*q**v.
3*(q + 1)**3
Let y = -12 + 15. Factor -32*n + 2 - 3 + 8*n**2 - y + 28*n.
4*(n - 1)*(2*n + 1)
Let z be ((-3)/6)/(3 + -5). Factor 1/4*x + 3/4*x**2 - 1/2 - 1/4*x**3 - z*x**4.
-(x - 1)**2*(x + 1)*(x + 2)/4
Let -b - 10*b - 6 + 0*b - b**3 - 6*b**2 = 0. Calculate b.
-3, -2, -1
Let 0 - 2/7*j**2 - 6/7*j = 0. Calculate j.
-3, 0
Suppose 2 = w + 2*f, 0 = w - 2*f - 2 + 4. Let j = 6 + w. Factor -r**2 - 5*r + j*r**2 + r - 1.
(r - 1)*(5*r + 1)
Factor -283*n**2 - 33*n - 30 + 569*n**2 - 289*n**2.
-3*(n + 1)*(n + 10)
Suppose 5 = 4*w - 78*s + 83*s, -3*w = -s + 1. Suppose 2 = k - 0*k. Determine f so that -9/2*f - 3/2*f**k + w = 0.
-3, 0
Let r(t) = -66*t**4 + 252*t**3 + 840*t**2 + 34*t. Let n(z) = -22*z**4 + 84*z**3 + 280*z**2 + 15*z. Let b(s) = -10*n(s) + 3*r(s). Factor b(f).
2*f*(f - 6)*(f + 2)*(11*f + 2)
Let q be 167 - (-7)/(35/(-25)). Determine y so that 324 + 27*y**2 + q*y + 3/2*y**3 = 0.
-6
Let -2/7*p**2 + 240/7*p - 7200/7 = 0. What is p?
60
Let p(d) = -d**2 - 9*d - 2. Let c be p(-8). Factor -5*b**5 + 35*b**5 - 28*b**4 + c*b**5 - 8*b**3.
4*b**3*(b - 1)*(9*b + 2)
Solve -2*m**2 - 490*m**4 + 14*m**2 + 4*m**2 + 14*m**3 + 488*m**4 = 0.
-1, 0, 8
Let m(f) be the first derivative of -f**4/8 + f**3/2 - 14*f + 5. Let z(w) be the first derivative of m(w). Determine a, given that z(a) = 0.
0, 2
Let w = 133 - 86. Determine u, given that -u + 48*u**3 + 0*u - w*u**3 - 2 + 2*u**2 = 0.
-2, -1, 1
Let g(s) be the first derivative of -2*s**5/25 + s**4 - 6*s**3/5 + 48. Factor g(c).
-2*c**2*(c - 9)*(c - 1)/5
Let y(m) be the second derivative of 5*m**7/12 - 10*m**6/3 + 9*m**5 - 115*m**4/12 + 5*m**3/12 + 15*m**2/2 - 228*m. Find s such that y(s) = 0.
-2/7, 1, 3
Suppose -37*c + 20 = n - 34*c, -22*n = -3*c - 26. Let 10*f + 1/8*f**3 - 8 - 17/8*f**n = 0. What is f?
1, 8
Factor 150 + 130*h - 10*h + 69*h**3 - 201*h**2 - 138.
3*(h - 2)*(h - 1)*(23*h + 2)
Find t such that 14*t - 27/2 - 1/2*t**2 = 0.
1, 27
Determine n, given that 15*n**5 - 252*n - 18558*n**2 + 60 + 18831*n**2 - 15*n**3 + 0*n**5 - 81*n**4 = 0.
-2, 2/5, 1, 5
Let z(t) be the second derivative of -3/10*t**5 + 0*t**3 - 1/3*t**4 + 0 + 0*t**2 - 53*t + 0*t**6 + 1/21*t**7. Factor z(u).
2*u**2*(u - 2)*(u + 1)**2
Let g(q) be the first derivative of 3*q**5 + 19*q**4/4 - 89*q**3/3 - 27*q**2/2 + 18*q - 46. Let g(k) = 0. What is k?
-3, -3/5, 1/3, 2
Let m = -134 - -137. Let o(t) be the third derivative of 1/6*t**m - 1/120*t**5 - 1/48*t**4 + 0 + 2*t**2 + 0*t. Solve o(i) = 0 for i.
-2, 1
Let t be ((-52)/(-12))/(1/9). Find n such that -15*n**2 + 15*n - 8 + 3 + t*n**2 - 4*n**2 = 0.
-1, 1/4
Let b(f) be the third derivative of -f**6/120 + 3*f**5/20 - f**4 + 10*f**3/3 - 216*f**2. Find d such that b(d) = 0.
2, 5
Let i(s) be the third derivative of -s**6/540 + s**5/30 - 2*s**4/9 + 16*s**3/27 - 55*s**2 + 3*s. Suppose i(v) = 0. What is v?
1, 4
Let p(h) = -h**2 - 22*h - 17. Let l(d) = -3*d**2 - 48*d - 35. Let q(k) = 2*l(k) - 5*p(k). Determine o, given that q(o) = 0.
-1, 15
Let n(z) be the first derivative of -z**6/2 - 36*z**5/5 - 39*z**4 - 96*z**3 - 96*z**2 + 446. Factor n(s).
-3*s*(s + 2)**2*(s + 4)**2
Let j(t) be the third derivative of -t**5/40 + 3*t**4/16 + 5*t**3/2 - 103*t**2. Find p such that j(p) = 0.
-2, 5
Let m(k) be the third derivative of -k**9/12096 - k**8/3360 + k**6/720 + k**5/480 - 11*k**3/6 + 8*k**2. Let u(q) be the first derivative of m(q). Factor u(a).
-a*(a - 1)*(a + 1)**3/4
Let c be (0 + 3)/(3/4) + 95. Let w = -1483/15 + c. Factor 2/15*d**2 - 2/15*d**4 - 2/15*d**3 + w*d + 0.
-2*d*(d - 1)*(d + 1)**2/15
Let b be 42/(-10) - (-2 - ((-16)/2 - -11)). Factor 1/5*l**2 + b*l - 1.
(l - 1)*(l + 5)/5
Let a be 1 + (15/(-5) - -4). Let t = a - -18. Solve -t*h - h**2 + 5*h**2 + 20 + h**2 = 0.
2
Let z be (45/(-150))/(24/(-40)). Let u(o) be the first derivative of 0*o**3 + 1/2*o**4 - 1/6*o**6 + 0*o**5 - z*o**2 + 9 + 0*o. Determine h so that u(h) = 0.
-1, 0, 1
Let x(s) be the second derivative of -s**7/189 + 2*s**6/45 - s**5/9 + 11*s**3/27 - 2*s**2/3 + 436*s. Let x(l) = 0. Calculate l.
-1, 1, 2, 3
Let f(t) be the third derivative of -t**8/112 - 2*t**7/3 - 365*t**6/72 - 259*t**5/18 - 295*t**4/18 - 28*t**3/3 + 27*t**2 - 8. Suppose f(g) = 0. What is g?
-42, -2, -1/3
Let p(c) be the first derivative of -4*c**5/5 - 17*c**4 + 24*c**3 - 160. Factor p(j).
-4*j**2*(j - 1)*(j + 18)
Let i(b) = 2*b**2 + 29*b + 77. Let q(a) = a + 1. Let g(o) = i(o) - 5*q(o). Factor g(u).
2*(u + 6)**2
Let y(h) be the third derivative of -h**6/480 - h**5/40 + 9*h**4/32 - 238*h**2. Solve y(v) = 0 for v.
-9, 0, 3
Factor -12*q**3 - 80 + 208*q + 80 - 68*q**2 + 16*q**3.
4*q*(q - 13)*(q - 4)
Let h(c) be the third derivative of c**5/330 + 19*c**4/132 - 15*c**2. Let h(n) = 0. What is n?
-19, 0
Let t = -37 - -39. Factor -18*j**2 + 4*j + 6*j + 5*j**4 + 3*j**t.
5*j*(j - 1)**2*(j + 2)
Let p(d) be the second derivative of -2*d**7/21 - 7*d**6/30 - 3*d**5/5 - d**4/3 - 5*d**2/2 - 8*d. Let u(j) = j**4 - 1. Let k(t) = p(t) - 5*u(t). Factor k(w).
-4*w**2*(w + 1)**3
Let l be (-22)/1584*-84 + (-7)/6. Factor 0*h**2 + 3/2*h**4 + 0*h + l - 9/4*h**3 + 3/4*h**5.
3*h**3*(h - 1)*(h + 3)/4
Suppose -2*s - 7/4*s**3 - 19/4*s**2 + 1 = 0. Calculate s.
-2, -1, 2/7
Let g be 3/(510/(-17)) - 1/(-10). Suppose -5*s - 2*m = 6 - 27, 3*s - 4*m = -3. Factor 0 + 2/3*p**s + 0*p**2 + g*p + 2/9*p**4.
2*p**3*(p + 3)/9
Let x(c) be the second derivative of c**6/15 + 5*c**5/18 + 7*c**4/18 + c**3/9 - 2*c**2/9 - 3*c - 2. Factor x(r).
2*(r + 1)**3*(9*r - 2)/9
Suppose -164 = 3*b - 5*m - 151, 5*b + m - 25 = 0. Let u be (-4)/8*4/(-14). Factor -1/7*h**5 + 2/7*h**3 + 0 - u*h + 0*h**2 + 0*h**b.
-h*(h - 1)**2*(h + 1)**2/7
Let r be (3 - 11)/(-2*1). Let k be r/(-2) + (4 - (0 + 0)). Factor 0 + 2/7*t**k + 6/7*t.
2*t*(t + 3)/7
Let 2/3*z**2 + 4 - 14/3*z = 0. Calculate z.
1, 6
Suppose z - 4*z + 12 = 0. Factor 9*s**z - 3*s + 5*s**5 - s**2 + 3*s**3 - 3*s - 8*s**2 - 2*s**5.
3*s*(s - 1)*(s + 1)**2*(s + 2)
Let m(p) be the first derivative of p**7/1260 - p**6/720 - p**5/72 - p**4/48 - 7*p**2/2 + 5. Let u(d) be the second derivative of m(d). Factor u(r).
r*(r - 3)*(r + 1)**2/6
Let n(f) be the second derivative of 3*f**6/35 - 5*f**5/14 + f**4/2 - f**3/7 - 2*f**2/7 + 22*f - 3. Determine m, given that n(m) = 0.
-2/9, 1
Let z(m) be the second derivative of m**4/51 + 77*m**3/51 - 39*m**2/17 + 12*m + 4. Determine r, given that z(r) = 0.
-39, 1/2
Let m = 53366 + -53361. Solve 2*f**2 + 0 + 0*f + 29/3*f**3 + 7/3*f**m + 10*f**4 = 0 for f.
-3, -1, -2/7, 0
Let k be (4/10)/(1/5). Factor c**2 - 2*c**2 + 12 + 11*c - k*c - 2*c**2.
-3*(c - 4)*(c + 1)
Let c be (-1)/(4/32*-2). Suppose c*j - 3*j + 3*j + 4*j**2 + 4*j = 0. Calculate j.
-2, 0
Let u(h) be the third derivative of h**8/504 + 31*h**7/945 + 17*h**6/270 - 11*h**5/135 - 37*h**4/108 - h**3/3 + 28*h**2 + 1. Let u(j) = 0. What is j?
-9, -1, -1/3, 1
Let o(x) be the second derivative of 0 - 1/140*x**5 + 0*x**3 + 0*x**2 + x + 1/42*x**4. Factor o(b).
-b**2*(b - 2)/7
Let c(g) be the third derivative of 41*g**2 + 0 + 1/15*g**6 + 1/10*g**5 + 0*g - 3/4*g**4 + 2/3*g**3. Factor c(k).
2*(k - 1)*(k + 2)*(4*k - 1)
Suppose 11*h = 16*h + 3*l - 28, 0 = h - l - 4. Let u(j) be the first derivative of -4/25*j**h - 4/3*j**3 + 4/5*j**2 + 12 + 4/