)*(d + 6)**2/9
Let u(r) be the third derivative of -4/735*r**7 + 7*r**2 - 1/140*r**6 + 0*r**4 + 0*r + 0 + 0*r**3 - 1/1176*r**8 + 0*r**5. Suppose u(y) = 0. What is y?
-3, -1, 0
Let k be (1 - 3/6)*-18. Let o be (12/k)/(4/(-6)). Find f such that 0*f**o + 0 + 1/7*f - 1/7*f**3 = 0.
-1, 0, 1
Let r = 18 - 14. Suppose 0*y - 6 = -r*y - j, 4*j = -4*y. Factor 2*h**3 + h**4 - 3*h**4 + y*h**2 - 3 - 2*h + 3.
-2*h*(h - 1)**2*(h + 1)
Let j(n) be the first derivative of -n**8/168 - n**7/105 + n**6/180 - 20*n**3/3 + 11. Let b(u) be the third derivative of j(u). Factor b(z).
-2*z**2*(z + 1)*(5*z - 1)
Let n(y) = y**3 - 1. Let r(h) = 16*h**3 - 3*h**2 - 5*h - 8. Let x be 15/35 - (-51)/(-21). Let m(i) = x*r(i) + 22*n(i). Factor m(s).
-2*(s - 1)*(s + 1)*(5*s - 3)
Let d(m) be the first derivative of 4/3*m**2 - m + 1/15*m**5 - 19 - 2/3*m**3 + 0*m**4. Suppose d(q) = 0. Calculate q.
-3, 1
Suppose 22*g**3 + g**4 - 56*g**3 + 32*g**3 + 6*g - 5*g**2 = 0. Calculate g.
-2, 0, 1, 3
Let r(a) = 12*a**2 + 48*a - 52. Let u(v) = -10*v**2 - 49*v + 53. Let z(m) = -5*r(m) - 4*u(m). Determine k so that z(k) = 0.
-3, 4/5
Factor -6/7 + 41/7*o + o**2.
(o + 6)*(7*o - 1)/7
Suppose 0 = -12*u + 16*u - 12. Suppose 2*x = -2*d + 12, 4*d - u*x - 2 + 6 = 0. Solve -2/3*c - 2/3 - 1/6*c**d = 0 for c.
-2
Let u(r) = -2*r**3 + 54*r**2 - 452*r - 500. Let i(t) = 2*t**3 - 56*t**2 + 451*t + 503. Let j(y) = 4*i(y) + 3*u(y). What is m in j(m) = 0?
-1, 16
Let r be (75387/(-270))/(-13) + (-4)/(-18). Let g = r + -43/2. Factor 0 + 2/5*d**2 + g*d + 1/5*d**3.
d*(d + 1)**2/5
Suppose 4*f - 1 = -5*a + 4, 5*a = -3*f. Factor 45 - 20*n**2 - f*n**3 - 15*n + n**2 - 6*n**2.
-5*(n - 1)*(n + 3)**2
Let z = -6167/3 + 2056. Suppose 0*m + z*m**2 + 3*m**5 + 5*m**4 + 7/3*m**3 + 0 = 0. Calculate m.
-1, -1/3, 0
Let g be 2891/4116 + 8/(-28). Let o(l) be the second derivative of g*l**4 + 0*l**3 + l + 0*l**2 + 0 + 1/4*l**5. Factor o(m).
5*m**2*(m + 1)
Let w(s) be the first derivative of s**4/4 - 10*s**3/3 - 7*s**2/2 + 196*s - 134. Let w(r) = 0. Calculate r.
-4, 7
Let q = -84 - -22. Let y be q/(-22) - (-2)/11. Solve -y*z**2 - 1 + 1 = 0 for z.
0
Let t be (-3)/(-6) + 39/6 + 4. Let u = t + -9. Determine y so that -4/7*y**5 + 4/7*y**2 - 2/7 + u*y**4 - 16/7*y**3 + 4/7*y = 0.
-1/2, 1
Let h = 16917 + -84583/5. Factor 36/5 - 18/5*u**3 + 58/5*u**2 + h*u**4 - 78/5*u.
2*(u - 3)**2*(u - 2)*(u - 1)/5
Let v = 1/247 - -3206/1235. Factor 8/5*q**3 + v*q**4 + 1/5*q**2 + 0*q + 0 + 6/5*q**5.
q**2*(q + 1)**2*(6*q + 1)/5
Let b(r) be the third derivative of r**8/2520 - r**7/525 + 73*r**2 - 3*r. Determine q so that b(q) = 0.
0, 3
Let m be (5 - 1) + -2 - -2. Find q such that -2*q**m + 2*q + 0*q**5 - 4*q - q**5 + 4*q**2 - 2*q + 3*q**3 = 0.
-2, 0, 1
Let w(s) = 8*s**3 + 126*s**2 + 5285*s + 74095. Let z(t) = t**3 - t + 1. Let m(d) = -5*w(d) + 35*z(d). Suppose m(q) = 0. What is q?
-42
Suppose -s + 61 - 1070 = 0. Let b = -2927/3 - s. Suppose b - 40/3*m + 4/3*m**2 = 0. What is m?
5
Let r(u) = -5*u**3 - 11*u**2 - 10*u - 4. Let n(l) = -9*l**3 - 21*l**2 - 21*l - 9. Let w = -78 - -87. Let a = 4 - 8. Let t(f) = a*n(f) + w*r(f). Factor t(x).
-3*x*(x + 1)*(3*x + 2)
Let m = -811/20 + 203/5. Let s(h) be the second derivative of -1/50*h**6 + m*h**4 - 7*h - 3/100*h**5 + 0 + 0*h**2 + 0*h**3 + 1/70*h**7. Factor s(j).
3*j**2*(j - 1)**2*(j + 1)/5
Suppose -50*f = -59*f + 18. Let j(p) be the first derivative of 12/5*p - 6 + 6/5*p**f - 1/5*p**3 - 3/20*p**4. Factor j(q).
-3*(q - 2)*(q + 1)*(q + 2)/5
Let j = -17947/4 + 4487. Factor 1 - j*c**2 + 0*c.
-(c - 2)*(c + 2)/4
Let a = 1 + 2. Let j be a/(2*6/44). Suppose 4*l**2 + 2*l**5 + 2*l**4 + 2*l - j*l**3 + 7*l**3 - 4*l**4 + 0*l - 2 = 0. What is l?
-1, 1
Let l(q) = 27*q**2 + 0*q**2 - 6*q + 23*q**4 + 5 + 11*q - 53*q**3 - 2*q**5. Let z(n) = n**4 - n**3 - n**2 + n + 1. Let u(m) = 2*l(m) - 10*z(m). Factor u(b).
-4*b**2*(b - 4)**2*(b - 1)
Let h(r) = r**3 - 10*r - 20. Let p be h(4). Factor 0*y + 0 + 4/3*y**3 + 4/3*y**2 + 1/3*y**p.
y**2*(y + 2)**2/3
Factor 4573*d**2 + 19*d - 4571*d**2 + 36 - d.
2*(d + 3)*(d + 6)
Suppose 16*x = 17*x - 48. Let z = 146/3 - x. Factor 0 + z*i + 2/3*i**2.
2*i*(i + 1)/3
Let x(c) = -11*c**2 - 124*c - 125. Let j(h) = -100*h**2 - 1115*h - 1125. Let l(b) = 6*j(b) - 55*x(b). Suppose l(o) = 0. What is o?
-25, -1
Let r = 30/13 - 38/39. Let v = -5816 + 5818. Find s such that -2/3*s**5 + 2/3 - v*s**4 + 4/3*s**2 - r*s**3 + 2*s = 0.
-1, 1
Let p(h) be the first derivative of h**6/18 - h**4/3 + 270. Factor p(v).
v**3*(v - 2)*(v + 2)/3
Let o(l) be the second derivative of -l**4/6 - 8*l**3/3 - 16*l**2 - 72*l - 1. Factor o(k).
-2*(k + 4)**2
Let m(r) be the third derivative of 0*r + 0*r**3 + 11/180*r**5 + 1/36*r**4 - 5*r**2 + 0 + 7/120*r**6 + 17/630*r**7 + 5/1008*r**8. Find b such that m(b) = 0.
-1, -2/5, 0
Let z(t) = 4*t - 22. Let n be z(6). Factor -g**n + 4*g**2 + 11 + 9*g - 5.
3*(g + 1)*(g + 2)
Let u(r) be the first derivative of -r**6/30 - 51*r**5/25 - 1011*r**4/20 - 1937*r**3/3 - 22308*r**2/5 - 79092*r/5 + 311. Factor u(p).
-(p + 6)**2*(p + 13)**3/5
Let d(x) = 2*x**2 - 1. Let g(a) = -4*a**2 + 128*a + 129. Let b(t) = 3*d(t) + g(t). What is l in b(l) = 0?
-63, -1
Let x be ((-108)/63 - -2)*(-84)/(-108). Suppose 2/3*b + 20/9 - x*b**2 = 0. What is b?
-2, 5
Let t be 7/4 - (1 + 25/(-20)). Let b(w) be the second derivative of -1/78*w**4 + 1/13*w**2 + 0 - t*w - 1/130*w**5 + 1/39*w**3. Factor b(j).
-2*(j - 1)*(j + 1)**2/13
Let a(k) = -11*k**4 + 8*k**3 - 10*k + 5. Let o(m) = -72*m**4 + 52*m**3 - 64*m + 32. Let g(b) = 32*a(b) - 5*o(b). Factor g(w).
4*w**3*(2*w - 1)
Determine w, given that -7*w + 16*w - 2*w**2 + w - w**2 + 5*w**2 = 0.
-5, 0
Let m(s) be the first derivative of s**4/12 - 4*s**3/9 - 5*s**2/6 - 54. Factor m(v).
v*(v - 5)*(v + 1)/3
Let q be 20236/10*((-10)/(-4) - 0). Determine f, given that 4*f**3 - 5059*f - 4*f**2 + q*f = 0.
0, 1
Let r(i) be the first derivative of 4*i**5 + 8*i**4 - 196*i**3/3 - 144*i**2 + 144*i + 77. Let r(a) = 0. Calculate a.
-3, -2, 2/5, 3
Let h be (-9)/3 - (13 + 726/(-44)). Factor 3*p + h*p**2 - 8.
(p - 2)*(p + 8)/2
Let u(f) be the second derivative of -f**6/45 - 2*f**5/15 - 5*f**4/18 - 2*f**3/9 + 7*f. Factor u(a).
-2*a*(a + 1)**2*(a + 2)/3
Suppose 353*t = 356*t - 12. Let z(i) be the second derivative of 0*i**3 - 1/70*i**5 + 10*i + 2/105*i**6 + 0*i**2 + 0*i**t - 1/147*i**7 + 0. Factor z(g).
-2*g**3*(g - 1)**2/7
Let m(b) = b**3 - 11*b**2 - b - 3. Let i be m(11). Let o be i/35 - (2 - 82/30). Find v, given that 2/3*v**2 - o*v**3 + 0*v - 2/3*v**4 + 1/3*v**5 + 0 = 0.
-1, 0, 1, 2
Let o(w) be the first derivative of w**8/392 - 2*w**7/735 + 2*w**2 - 12. Let p(n) be the second derivative of o(n). Determine u so that p(u) = 0.
0, 2/3
Suppose 1/3*c**2 - 38*c + 0 = 0. Calculate c.
0, 114
Let l(c) = -4*c**2 - 445*c - 12090. Let t(j) = -2*j**2 - 223*j - 6044. Let a(p) = 3*l(p) - 5*t(p). Factor a(y).
-2*(y + 55)**2
Factor 25 + 6*x**3 - 132*x**2 - 2*x**3 + 1452*x - 5349.
4*(x - 11)**3
Let z(h) be the second derivative of -2*h**6/5 - 11*h**5 - 75*h**4 - 150*h**3 - 104*h**2 - 31*h + 4. Let z(p) = 0. What is p?
-13, -4, -1, -1/3
Let w(b) be the second derivative of b**7/147 - 8*b**6/105 + 9*b**5/35 - 9*b**3/7 - 2*b - 221. Factor w(q).
2*q*(q - 3)**3*(q + 1)/7
Let b(r) = 21*r + 1386. Let z be b(-66). Let -2/5*i**3 - 4/5*i**2 + z*i + 2/5*i**5 + 4/5*i**4 + 0 = 0. What is i?
-2, -1, 0, 1
Let u(w) be the first derivative of -3*w**5/25 + 27*w**4/10 - 84*w**3/5 - 147*w**2/5 + 3087*w/5 - 39. Factor u(h).
-3*(h - 7)**3*(h + 3)/5
Let l(p) be the first derivative of 4*p**5/5 + 23*p**4/4 + 14*p**3/3 - 5*p**2/2 - 59. Factor l(o).
o*(o + 1)*(o + 5)*(4*o - 1)
Let n be 42/8 + -5 - 9/4. Let g(b) = 4*b**3 + b**2 - 2*b - 3. Let w(v) = v**3 - 1. Let y(i) = n*g(i) + 6*w(i). Solve y(x) = 0.
-2, 0, 1
Suppose 2*n = 9 + 1. Suppose 5*b = 5 + 5. Factor -8*r - b*r**3 + n*r**4 - 3*r**4 + 8*r**3.
2*r*(r - 1)*(r + 2)**2
Suppose 17*q = 18*q + 6. Let v be 48/(-216)*1/(4/q). Factor 1/3*r - v*r**2 - r**4 + 0 - 5/3*r**3.
-r*(r + 1)**2*(3*r - 1)/3
Suppose 31 = 2*z - 5*x, 0 = -3*z - 3*x - 574 + 568. What is o in -1/4*o**5 + 1/2*o**2 - 1/4*o + 1/2*o**z - 1/4 - 1/4*o**4 = 0?
-1, 1
Let b(w) be the second derivative of w**5/40 + 11*w**4/4 + 363*w**3/4 - w + 24. Determine j so that b(j) = 0.
-33, 0
Let t(l) be the third derivative of -72*l**6/5 + 248*l**5/15 - 43*l**4/6 +