1, 1
Let z(a) be the third derivative of -5*a**8/336 + a**7/42 + a**6/8 - a**5/12 - 5*a**4/12 - 199*a**2. Suppose z(y) = 0. What is y?
-1, 0, 1, 2
Let d(m) = -3*m**4 + 14*m**3 - 19*m**2 - 32*m + 4. Let x(n) = -7*n**4 + 28*n**3 - 37*n**2 - 62*n + 10. Let r(w) = 5*d(w) - 2*x(w). Factor r(j).
-j*(j - 12)*(j - 3)*(j + 1)
Let u(v) be the second derivative of v**7/63 - 8*v**6/15 - 5*v**5/6 - 1994*v. Suppose u(y) = 0. What is y?
-1, 0, 25
Suppose 28*w = -1954 + 5566. Suppose 4*u - w = -109. Suppose -16/3*n**3 + 4/3*n**u + 0*n + 0*n**4 + 0*n**2 + 0 = 0. Calculate n.
-2, 0, 2
Let x be -3*21/(-3) + -1. Suppose x*b**4 + 45*b**2 - 19*b - 26*b - 55*b**3 + 40*b - 5 = 0. What is b?
-1/4, 1
Let t = 53 - 47. Factor 25*s**5 - 8*s**2 + t*s**3 - 27*s**5 - 8*s + 8*s**4 - 4*s**4.
-2*s*(s - 2)**2*(s + 1)**2
Suppose 30 = 31*y - 14 - 18. Let b(f) be the third derivative of 1/240*f**5 + 1/96*f**4 - 1/24*f**3 + 0*f - 1/480*f**6 + 18*f**y + 0. Let b(c) = 0. What is c?
-1, 1
Let u = -37 - -51. Suppose -l - f - 1 + 7 = 0, f + u = 3*l. Determine y so that l - 5 + 3*y + y**3 + 3*y**4 + 9*y**2 + 8*y**3 = 0.
-1, 0
Let v(z) = 2*z**5 + 2*z**4 - 7*z**3 + 9*z**2 + 3*z + 6. Let x(p) = -p**5 - 3*p**4 + 7*p**3 - 7*p**2 - 2*p - 4. Let j(f) = -2*v(f) - 3*x(f). Factor j(r).
-r**2*(r - 3)*(r - 1)**2
Let m(j) be the second derivative of j**4/72 + 37*j**3/12 - 113*j**2/6 + j - 31. Let m(p) = 0. Calculate p.
-113, 2
Let n(y) = 7*y**2 - 21*y - 22. Let u be n(-1). Let p be 162/216*1/u. Solve 1/8*s**4 - 5/8*s**2 + p*s**3 + 3/8*s + 0 = 0.
-3, 0, 1
Let j = 32203/60 - 1610/3. Let h(i) be the third derivative of 1/24*i**4 + 0 - 5*i**2 + 0*i + j*i**5 + 1/40*i**6 + 0*i**3 + 1/210*i**7. Factor h(c).
c*(c + 1)**3
Let i(p) = p**3 + 9*p**2 - 417*p - 1366. Let s be i(-24). Determine l so that -4/13*l**3 - 18/13*l**s + 8/13 - 6/13*l = 0.
-4, -1, 1/2
Let v(n) be the third derivative of -n**8/1680 - n**7/168 - n**6/90 - 223*n**3/6 + 304*n**2. Let h(i) be the first derivative of v(i). Factor h(t).
-t**2*(t + 1)*(t + 4)
Suppose 9*d - 12 = -5*v + 11*d, -5*v = -4*d - 14. Let a be -3 + ((-6)/10)/((-12)/92). Suppose -16/5*z**v + 0 - 6*z**3 + 6/5*z - a*z**4 = 0. What is z?
-3, -1, 0, 1/4
Let r(h) be the first derivative of 5/3*h**3 + 0*h + 124 - 45/2*h**2. Factor r(x).
5*x*(x - 9)
Let d = -10/719 - -2227/5033. Let y(a) be the first derivative of -4/7*a + d*a**2 + 40 - 2/21*a**3. Factor y(k).
-2*(k - 2)*(k - 1)/7
Solve 6*r**4 - 30*r**3 - 72*r**2 + 0 + 0*r + 3/2*r**5 = 0.
-6, -2, 0, 4
Let v(d) be the second derivative of d**5/70 - 13*d**4/42 + 23*d**3/21 - 11*d**2/7 - 2*d + 1077. Let v(i) = 0. What is i?
1, 11
Let a(d) be the first derivative of -52 + 2/45*d**3 + 22/15*d - 4/5*d**2. Factor a(n).
2*(n - 11)*(n - 1)/15
Let j(k) be the first derivative of 3*k**5/5 - 180*k**4 - 972*k**3 - 1464*k**2 - 1893. Solve j(o) = 0.
-2, 0, 244
Let s(g) be the first derivative of -4*g**5/5 - g**4 + 2*g**3 - 6*g - 17. Let t(a) = -a**2 + 1. Let b(d) = s(d) + 6*t(d). Solve b(i) = 0 for i.
-1, 0
Suppose -17*q - 288 + 84 = 0. Let a be q/8 - 105/(-30). Suppose -4/5*g**4 + 36/5*g - 12*g**a + 28/5*g**3 + 0 = 0. Calculate g.
0, 1, 3
Let y(a) be the first derivative of 4*a**3/3 + 1414*a**2 + 1568. Factor y(s).
4*s*(s + 707)
Let p(y) = -4*y - 27. Let f be p(-8). Let t be ((-48)/28)/(6/(-21)). Solve -f*g**3 - t*g - 9*g**3 - 4*g + 12*g**3 - 12*g**2 = 0 for g.
-5, -1, 0
Let u = -26777 + 26807. Factor -90*k**2 + u*k - 5/2.
-5*(6*k - 1)**2/2
Let j(g) be the second derivative of 0*g**3 + 0*g**5 + 0 + 5/4*g**4 + 124*g - 6*g**2 - 1/10*g**6. Suppose j(b) = 0. Calculate b.
-2, -1, 1, 2
Suppose 6*a = 9*a. Suppose a*p = -5*p + 10. What is l in -p*l**4 + 4*l**4 - 5*l**4 - 4 - l**4 + 8*l**2 = 0?
-1, 1
Let g(k) be the second derivative of 0 - 48*k + 2*k**3 - 1/2*k**4 + 12*k**2 - 3/20*k**5. Factor g(f).
-3*(f - 2)*(f + 2)**2
Let j(k) be the second derivative of -13/60*k**5 + 27*k + 0*k**2 + 0 - 1/3*k**4 - 1/90*k**6 + 0*k**3. Find s such that j(s) = 0.
-12, -1, 0
Let x(f) be the third derivative of -f**6/60 - 3*f**5/10 - 11*f**4/12 + 7*f**3 + 3*f**2 - 24. Solve x(w) = 0 for w.
-7, -3, 1
Suppose 4*x = 5*x. Let j be -5 - x - 95/(-19). Factor 12 + 6*d**2 + j*d**3 - 2*d**4 - 6*d**3 + 24*d - 2*d.
-2*(d - 2)*(d + 1)**2*(d + 3)
Let w(f) be the second derivative of 0*f**2 + 81/140*f**5 + 11/70*f**6 + 171*f + 25/28*f**4 + 0 + 1/98*f**7 + 4/7*f**3. Determine m, given that w(m) = 0.
-8, -1, 0
Let i(m) be the second derivative of m**7/210 + m**6/45 + m**5/30 - 5*m**4/3 + 2*m**2 + m - 14. Let t(j) be the third derivative of i(j). Factor t(f).
4*(f + 1)*(3*f + 1)
Find w, given that 20/9 + 14/9*w**3 - 2/9*w**4 + 6*w**2 + 58/9*w = 0.
-1, 10
Solve -1060/3 - 8/3*i**2 + 708*i = 0.
1/2, 265
Let d(f) be the second derivative of -41*f**4/2 - f**3/2 + 197*f. Factor d(n).
-3*n*(82*n + 1)
Factor 97*h**3 - 4 - 4 - 4 - 111*h**3 + 34*h + 0 + 32*h**2.
-2*(h - 3)*(h + 1)*(7*h - 2)
Let j = -644 - -611. Let r be -7*1 + 42 + j. Solve -238/9*w**3 + 242/9*w**r + 34/3*w**4 - 14/9*w**5 + 16/9 - 12*w = 0.
2/7, 1, 4
Let g = -934936/9 + 104186. Factor 148/9*w - g - 2/9*w**2.
-2*(w - 37)**2/9
Let l = 1168052/5 - 233610. Factor 18/5*x**2 - 2/5*x**3 + 0 - l*x**4 + 18/5*x.
-2*x*(x - 3)*(x + 1)*(x + 3)/5
Let b = -381 - -501. Let r be -2 + 0 + 280/b. Suppose -w**2 + 0 - 1/3*w - w**3 - r*w**4 = 0. What is w?
-1, 0
Let c be 96 - ((-510)/(-50) - 11). Factor 44/5*h + c + 1/5*h**2.
(h + 22)**2/5
Let x be (-46)/(-9) + 0 + (-675)/450 - 1/9. Solve 23/8*d**4 - 1/2*d**5 + 3/2 + 9/4*d**3 - 77/8*d**2 + x*d = 0.
-2, -1/4, 1, 6
Let p(k) be the first derivative of k**5/5 - 9*k**4/2 - 25*k**3/3 + 57*k**2 + 1224. Find m, given that p(m) = 0.
-3, 0, 2, 19
Suppose 0 = -26*q + 264*q. Let h(k) be the third derivative of 1/30*k**6 + q - 4*k**2 + 1/2*k**4 + 1/5*k**5 + 2/3*k**3 + 0*k. Factor h(b).
4*(b + 1)**3
Let d(z) be the first derivative of 5*z**4/4 - 9560*z**3/3 + 4579225*z**2/2 - 9120250*z + 9083. Factor d(x).
5*(x - 955)**2*(x - 2)
Let h be ((-3)/6)/((-96)/64). Let z(y) be the first derivative of -13 - 33*y**4 + 162*y - h*y**6 + 26/5*y**5 - 189*y**2 + 108*y**3. Factor z(d).
-2*(d - 3)**4*(d - 1)
Solve 11*s**4 + 245 + 320*s**2 + 973/2*s + 1/2*s**5 + 89*s**3 = 0 for s.
-7, -5, -2, -1
Let w(c) = -34*c - 329. Let x be w(-11). Let n = -217/5 + x. Let -1/5*l**2 - n*l + 3/5*l**3 - 4/5 = 0. Calculate l.
-1, -2/3, 2
Determine x so that 0*x**4 - 120*x**2 + 5*x**4 - 10*x**4 + 55*x**3 + 0*x**4 = 0.
0, 3, 8
Let h(z) be the third derivative of -64*z**7/735 - 284*z**6/105 + 501*z**5/70 - 23*z**4/6 + 19*z**3/21 + 1298*z**2 - z + 1. Suppose h(t) = 0. Calculate t.
-19, 1/8, 1
Suppose -70/3*y**2 + 0*y - 74/3*y**3 - 2/3*y**4 + 2/3*y**5 + 0 = 0. What is y?
-5, -1, 0, 7
Let i(f) = 2*f**2 + 18*f + 18. Let z(y) = -17. Let d(a) = 5. Let h be -4 + 3/(-3)*-2. Let n(k) = h*z(k) - 7*d(k). Let q(j) = -2*i(j) - 4*n(j). Factor q(l).
-4*(l + 1)*(l + 8)
Solve -501*q + 5082*q**5 + 9141/2*q**2 + 30513/2*q**3 - 24420*q**4 + 12 = 0 for q.
-2/7, 1/22, 1, 4
Let j(s) = 11*s - 114. Let r be j(14). Suppose 21*z**5 + 2*z**4 - 16*z**5 + 5*z**3 + z - 11*z - 27*z**4 + 65*z**2 - r = 0. What is z?
-1, 1, 2, 4
Let h(w) = 3*w - 12. Let m be h(5). Suppose -3*k - 3*t + 162 = 0, t = -5*k - m*t + 274. Factor 26*r - 3*r**2 - k*r - 3 + 26*r.
-3*(r + 1)**2
Let n = -285513 - -2569655/9. Determine m so that 2/9*m**4 - 82/9*m**2 + 0 - n*m**3 - 14/3*m = 0.
-1, 0, 21
Let s be 15*1*1064/1520. What is r in s*r + 441/4 + 1/4*r**2 = 0?
-21
Let v = 228 + -92. Suppose -4*p = -4, -3*w - 31*p + 26*p + 59 = 0. Factor w*i - v + 132 + 6*i**3 - 14*i**2 - 6*i**2.
2*(i - 2)*(i - 1)*(3*i - 1)
Let c = -13498/7 + 108131/56. Find p such that 15/8*p**3 + c*p**4 + 0 - 3/2*p**5 + 0*p - 9/4*p**2 = 0.
-1, 0, 3/4, 2
Let r(y) = -2*y - 1. Let f be ((-555)/74)/((-1)/((-16)/(-6))). Let l = f - 21. Let c(i) = -i**4 + i**3 + i**2 + i + 1. Let o(q) = l*c(q) - r(q). Factor o(j).
j*(j - 1)**2*(j + 1)
Suppose -494 = -2*w + 5*u, 8*w - 7*w - 2*u = 249. Let m = w + -509/2. Factor -5/4*g**4 + 25/4*g + 15/4*g**2 + m - 5/4*g**3.
-5*(g - 2)*(g + 1)**3/4
Suppose -108 + 24*v + 163 - 6*v**3 + 5*v**3 + 5*v**2 + 37*v = 0. What is v?
-5, -1, 11
Determine f so that -23*f - f**2 - 344*f - 329*f - 7 + 7 = 0.
-696, 0
Let l be 194/66 + ((-1714)/33 - -52). Factor -2/9*u**l + 0 + 14/9*u + 4/3*u**2.
-2*u*(u - 7)*(u + 1)/9
Let v(s)