ulate m.
-2/35, 1, 4
Let m(f) = -4*f**2 - 14*f + 32. Let g be m(-5). Let n(w) = w + 1. Let c be n(-1). Solve c*x - 1/7*x**3 + 0 - 5/7*x**g = 0.
-5, 0
Let r(a) be the third derivative of -a**6/320 - 199*a**5/480 - 1111*a**4/64 - 363*a**3/16 + 207*a**2. Let r(p) = 0. What is p?
-33, -1/3
Factor 4/3*b**2 + 5400*b + 5467500.
4*(b + 2025)**2/3
Let q be (64 + 6118/(-92))/(21/(-4) + -1). Find u such that 4/5 - 2/5*u + q*u**4 - 6/5*u**2 + 2/5*u**3 = 0.
-2, -1, 1
Let g(o) = -15*o + 38*o - 22*o - 4. Let h be g(8). Find m, given that m**5 - m**2 + 0*m**3 + m**5 + 4*m**h - 2*m**3 - 3*m**2 = 0.
-2, -1, 0, 1
Let f(r) = -r**4 - 2*r**3 - 6*r + 3. Let s(d) = -8*d**4 - 124*d**3 - 600*d**2 + 28*d + 3218. Let p(k) = -6*f(k) + s(k). Let p(t) = 0. Calculate t.
-50, -4, 2
Determine m so that 6 + 53/7*m + 10/7*m**2 - 1/7*m**3 = 0.
-3, -1, 14
Let f(s) = 9*s**5 + 6*s**4 - 4*s**3 - 28*s**2 - 8. Let y(k) = -43*k**5 - 30*k**4 + 19*k**3 + 141*k**2 + 38. Let h(x) = 19*f(x) + 4*y(x). What is u in h(u) = 0?
-4, 0, 2
What is l in 1425*l**3 + 202*l**2 - 709*l**3 - 714*l**3 + 2706 - 130 + 1684*l = 0?
-92, -7, -2
Let p be 868/6*(-429)/44. Let d = -1396 - p. Find w such that 21/2*w - w**4 - 5/2 - d*w**2 + 15/2*w**3 = 0.
1/2, 1, 5
Let u(r) be the first derivative of -1/12*r**5 + 0*r + 9 - 1/24*r**6 + 0*r**3 + 0*r**4 + 15/2*r**2. Let a(c) be the second derivative of u(c). Factor a(p).
-5*p**2*(p + 1)
Let u(y) be the first derivative of -4*y**3 + 14*y + 10 - 1/3*y**4 + 0*y**2. Let r(s) be the first derivative of u(s). Factor r(g).
-4*g*(g + 6)
Suppose 65 = 4*w + 57. Let 43*m**2 - 3*m**3 + 217 + 16*m + 63 + 5*m**w - 40 + 212*m = 0. What is m?
-2, 20
What is r in 232*r**2 + 392 - 68*r**3 - 80/3*r**4 + 2002/3*r - 2*r**5 = 0?
-7, -4/3, -1, 3
Let m = 3157 - 9466/3. Let x(c) be the second derivative of 0 + 25/6*c**3 + 3*c - m*c**4 - 5/2*c**2. Factor x(y).
-5*(y - 1)*(4*y - 1)
Let r be (-16 + 8 - -3)*12/5. Let y be (-2)/117 + r/(-26). Factor -2/9*k**3 - y*k + 0 + 2/3*k**2.
-2*k*(k - 2)*(k - 1)/9
Factor -2/19*l**3 + 268/19*l**2 + 0 - 14*l.
-2*l*(l - 133)*(l - 1)/19
Let q(a) be the third derivative of a**6/200 - 27*a**5/100 - 587*a**4/20 + 120*a**3 + 162*a**2 + a - 22. Solve q(y) = 0 for y.
-24, 1, 50
Let y(i) be the first derivative of i**5/25 - 96*i**4 + 92160*i**3 - 44236800*i**2 + 10616832000*i + 966. What is m in y(m) = 0?
480
Let p = 1469 - 44069/30. Let h(t) be the third derivative of 0 - 1/6*t**4 + p*t**5 - 26*t**2 + 0*t - t**3. Factor h(q).
2*(q - 3)*(q + 1)
Let c be (-11)/(297/(-144))*3*44. Suppose -c*s**3 - 224 + 1072*s**2 - 3*s**4 - 416*s + 181*s**4 - 3805*s**5 + 3791*s**5 = 0. Calculate s.
-2/7, 2, 7
Let m(k) be the third derivative of k**5/480 - 119*k**4/24 + 949*k**3/16 - 4167*k**2. Factor m(u).
(u - 949)*(u - 3)/8
Let p(q) = -4*q - 38. Let h be p(-6). Let j be -1*(-1)/(-3)*1050/h. Let j*o**3 + 5*o**2 + 37*o**4 - 10*o - 55*o**4 + 28*o**4 = 0. What is o?
-2, -1, 0, 1/2
Let d(i) be the second derivative of -176*i - 30*i**3 + i**6 + 0*i**2 + 5/42*i**7 + 0 - 10*i**4 + 5/4*i**5. Factor d(w).
5*w*(w - 2)*(w + 2)*(w + 3)**2
Let f(r) be the first derivative of 8*r**5/15 + 25*r**4/2 + 154*r**3/9 - 968*r**2 + 480*r + 11456. Suppose f(n) = 0. What is n?
-12, 1/4, 5
Let 540 - 432*q - 1/5*q**5 - 11/5*q**4 + 387/5*q**2 + 53/5*q**3 = 0. What is q?
-10, 3
Let t(y) be the third derivative of -y**7/455 + 125*y**6/156 - 16327*y**5/195 + 200*y**4/3 + 1664*y**3/3 + 96*y**2 + 2*y + 9. Determine n so that t(n) = 0.
-2/3, 1, 104
Suppose 1162*v - 2*d + 7 = 1167*v, 5*d + 26 = 2*v. Let g(i) be the first derivative of 5 - i**v - 2/5*i**5 - 5/4*i**4 + 0*i + 0*i**2. Solve g(x) = 0.
-3/2, -1, 0
Let g = 367 + -365. Factor 31*j - 26*j - 10*j - 5 + 10*j**g.
5*(j - 1)*(2*j + 1)
Let a = 621760/3 - 207253. Factor a*g**2 + 0 + 0*g.
g**2/3
Let z = -14 + 17. Let a = 714 - 714. Factor 0*m**2 + a - 1/3*m**4 + 0*m - 1/3*m**z.
-m**3*(m + 1)/3
Suppose -z + 4 = s, 5*z - 2*s = -2 - 6. Let u(q) be the first derivative of 0*q + 0*q**3 + z*q**2 + 6/25*q**5 - 1 - 3/20*q**4 - 1/10*q**6. Factor u(h).
-3*h**3*(h - 1)**2/5
Suppose 1218*y = -5*f + 1213*y + 80, -f = -11*y + 152. Factor -68/7*t**f - 2/7*t**3 - 1024/7 - 640/7*t.
-2*(t + 2)*(t + 16)**2/7
Find z, given that -26*z + 11*z**2 - 24*z**2 + 257*z + 8*z**2 + 54*z = 0.
0, 57
Let j(p) be the third derivative of 1/40*p**6 + 1/5*p**5 + 0*p**3 + 2*p**2 + 3/8*p**4 - 49*p + 0. Factor j(s).
3*s*(s + 1)*(s + 3)
What is c in 504/5*c - 69*c**2 + 5*c**3 + 5292/5 = 0?
-3, 42/5
Let f(j) = -20*j - 1600. Let w be f(-80). Let y(x) be the first derivative of 3/20*x**4 + 0*x + w*x**2 - 1/5*x**3 - 13. Factor y(o).
3*o**2*(o - 1)/5
Let v = 113 + -109. Factor -v + 9 + 2*c**2 + 1 + 8*c.
2*(c + 1)*(c + 3)
Let b(u) be the first derivative of u**6/3 - 2*u**5/5 - 5*u**4/2 + 10*u**3/3 + 4*u**2 - 8*u + 178. Let b(r) = 0. What is r?
-2, -1, 1, 2
Let c(a) be the third derivative of -a**6/160 - 111*a**5/5 - 3549*a**4/32 - 887*a**3/4 - 4442*a**2. Find h such that c(h) = 0.
-1774, -1
Let r be ((-8)/(-65))/(1162/(-87565)). Let g = 128/13 + r. Suppose 0 + g*c + 8/7*c**2 = 0. What is c?
-1/2, 0
Let j(f) be the second derivative of -2*f**3 + 5/8*f**4 - 7 + f + 9/4*f**2. Solve j(y) = 0 for y.
3/5, 1
Let c(o) = -7*o - 9 - 2*o + 2 + o + o**2. Let m(p) = 6*p**2 - 41*p - 34. Suppose -3*x + x - 4 = 0. Let l(g) = x*m(g) + 11*c(g). Factor l(s).
-(s + 3)**2
Let k(l) be the second derivative of -l**6/1800 - l**5/60 - 7*l**4/40 + 311*l**3/6 - 2*l - 42. Let w(s) be the second derivative of k(s). Factor w(d).
-(d + 3)*(d + 7)/5
Let j = 4023 - 4023. Let u(t) be the third derivative of 0*t + j*t**3 + 0 + 1/36*t**4 - 1/180*t**6 + 9*t**2 + 0*t**5. Let u(z) = 0. What is z?
-1, 0, 1
Let c(h) = h**4 - h**3 - 3*h**2 - h. Let k(r) = -5*r**5 + 9*r**4 + 14*r**3 - 37*r**2 + 39*r - 8. Let t(d) = 3*c(d) + k(d). Solve t(o) = 0.
-2, 2/5, 1, 2
Let n be -27 + 2*((-13)/2 + 5). Let y be (-12)/n*11/((-11)/(-10)). Factor -2/3*o**2 + 1/3*o**3 + 0 + 0*o + 1/3*o**y.
o**2*(o - 1)*(o + 2)/3
Let l(x) be the first derivative of x**7/462 - x**5/44 + 2*x**3/33 + 161*x + 167. Let m(s) be the first derivative of l(s). Determine k, given that m(k) = 0.
-2, -1, 0, 1, 2
Let v(t) be the third derivative of t**5/210 + t**4/21 + t**3/7 + 2*t**2 + 50*t. Factor v(n).
2*(n + 1)*(n + 3)/7
Find x, given that 19*x - 2/7 - 131/7*x**2 = 0.
2/131, 1
Factor 0 + 411/7*o + 3/7*o**2.
3*o*(o + 137)/7
Let a be 670/7504 - ((-36)/(-14))/(-9). Solve 21/8*q**3 + 3/8*q**2 - 9/4*q - 3/8*q**5 + 0 - a*q**4 = 0.
-3, -1, 0, 1, 2
Suppose 43*b - 316*b + 473 = -73. What is g in -21/2 - 1/2*g**b + 5*g = 0?
3, 7
Let r = -82/51 - -1247/765. Let w(x) be the second derivative of -1/60*x**5 + 0*x**4 - 1/126*x**7 + 0 + 0*x**2 + 7*x - r*x**6 + 0*x**3. Factor w(y).
-y**3*(y + 1)**2/3
Let b(a) = -22*a**3 + 9*a**2 + 19*a. Let w(t) = -65*t**3 + 27*t**2 + 54*t. Let i(h) = 8*b(h) - 3*w(h). Find r, given that i(r) = 0.
-10/19, 0, 1
Factor 5/4*y**3 - 42 - 19/2*y**2 - 109*y.
(y - 14)*(y + 6)*(5*y + 2)/4
Let h(u) = -12*u**4 - 2*u**3 + 2*u**2 - 8*u - 10. Let f(t) = -8*t**4 + 6*t**4 + 3*t**4 + 1 + t. Let b(j) = 10*f(j) + h(j). Factor b(m).
-2*m*(m - 1)*(m + 1)**2
Let i(s) = s**3 - 9*s**2 + 9*s - 2. Let w be i(8). Suppose 3*x + 5*r = w + 9, -2*r = 4*x - 6. Factor d**4 + x*d**2 - 4*d**2 + 3*d**3 - 3*d + 5*d**2 - 2.
(d - 1)*(d + 1)**2*(d + 2)
Let k = 297 - 45. Factor 4118*n + 3*n**4 + 2903*n**2 + 788*n**2 + 5547 + k*n**3 - 14954*n + 1343*n**2.
3*(n - 1)**2*(n + 43)**2
Let h be 10 - (26 + -3) - (-5 + -10). Solve -18/5*m + 48/5*m**3 - 9/5*m**4 + 39/5*m**h + 0 = 0.
-1, 0, 1/3, 6
Let y(r) be the first derivative of -r**3/4 - 291*r**2/8 + 225*r + 2551. Find h, given that y(h) = 0.
-100, 3
Let j be 134106/60564 - (-10)/(-14). Factor -j + 5*g - 2*g**3 + 9/2*g**2.
-(g - 3)*(g + 1)*(4*g - 1)/2
Let l(t) be the first derivative of t**5/30 - t**4/4 + 2*t**3/3 - 3*t**2/2 + 2*t - 46. Let f(y) be the second derivative of l(y). Factor f(n).
2*(n - 2)*(n - 1)
Suppose 8*y = 5*y + 5*m + 37, -2*y = 4*m + 12. Factor 2/7*l**3 + 8/7*l**2 - 8/7*l - 2/7*l**y + 0.
-2*l*(l - 2)*(l - 1)*(l + 2)/7
Let r = 5565 + -5561. Let b(s) be the third derivative of 26*s**2 + 1/40*s**5 + 0*s - 1/16*s**r - 1/240*s**6 + 1/12*s**3 + 0. Determine z so that b(z) = 0.
1
Let j(p) be the third derivative of 1/2*p**3 + 0*p + 1/2160*p**6 + 0 + 1/144*p**4 + 9*p*