2, 3
Let k(b) be the second derivative of -3*b**5/20 - 7*b**4/4 - 2*b**3 + 18*b**2 + 3*b + 2. What is x in k(x) = 0?
-6, -2, 1
Let m = 6754/14521 + -4/1117. Solve -m*o - 4/13 + 2/13*o**3 + 0*o**2 = 0 for o.
-1, 2
Let b(x) be the second derivative of x**4/36 + 11*x**3/9 + 7*x**2/2 - 210*x. Factor b(g).
(g + 1)*(g + 21)/3
Solve 22/5*x**2 - 2/5*x**3 - 88/5 + 8/5*x = 0.
-2, 2, 11
Let l = -51 + 41. Let u be (l + 2)*((-94)/88 + 1). Let -2/11*h**3 + 6/11*h**2 - u*h + 2/11 = 0. What is h?
1
Let z(s) be the third derivative of s**7/4200 - s**6/900 - s**5/600 + s**4/60 - 5*s**3 - 17*s**2. Let r(i) be the first derivative of z(i). Factor r(o).
(o - 2)*(o - 1)*(o + 1)/5
Let p(v) be the third derivative of -v**6/60 - 7*v**5/30 - 119*v**2. Let p(q) = 0. Calculate q.
-7, 0
Let l be 7*(72/336)/((-6)/(-16)). Let f(n) be the third derivative of 0 + 0*n**l + 0*n - 2*n**2 + 1/10*n**3 - 1/100*n**5. Let f(x) = 0. Calculate x.
-1, 1
Let x(w) be the third derivative of w**6/1260 + w**5/140 + w**4/42 + 17*w**3/2 - 53*w**2. Let z(b) be the first derivative of x(b). Solve z(k) = 0.
-2, -1
Let g = 4/69 - -1076/483. Factor 12/7*k**2 - 24/7*k - 2/7*k**3 + g.
-2*(k - 2)**3/7
Let m(u) = 346*u + 15228. Let l be m(-44). Factor 4/11*o**3 + 92/11*o**2 + 50/11 - 2/11*o**5 - 14/11*o**l - 130/11*o.
-2*(o - 1)**3*(o + 5)**2/11
Factor -2728*t + 3241*t**2 - 465*t**2 + 220*t - 1148*t**3 + 196*t**4 + 900 - 132*t - 84*t**3.
4*(t - 1)**2*(7*t - 15)**2
Let s(o) be the first derivative of 5*o**3/2 + 85*o**2/4 + 25*o + 236. Factor s(h).
5*(h + 5)*(3*h + 2)/2
Let i(n) be the second derivative of -n**4/12 + 3*n**3/2 - 4*n**2 + 2*n + 20. Factor i(h).
-(h - 8)*(h - 1)
Suppose -49 = -5*k - 14. What is n in k*n**3 + 3*n + 11*n**3 - 21*n**3 = 0?
-1, 0, 1
Let l(c) be the second derivative of c**8/1008 - c**7/210 + c**6/120 - c**5/180 + 27*c**2/2 + c. Let p(m) be the first derivative of l(m). Solve p(b) = 0 for b.
0, 1
Let s(l) = -l**3 + 11*l**2 - 13*l - 2. Let m be s(10). Let z = 35 + m. Factor 8/5*h**z + 0 + 6/5*h**2 + 4/15*h + 2/3*h**4.
2*h*(h + 1)**2*(5*h + 2)/15
Let v(h) be the second derivative of 2*h**6/105 - h**5/14 - h**4/14 + 8*h**3/21 + 4*h**2/7 + 13*h. Find c such that v(c) = 0.
-1, -1/2, 2
Let v(r) be the second derivative of -r**6/15 + 4*r**4 - 64*r**3/3 + 48*r**2 + 281*r. Factor v(l).
-2*(l - 2)**3*(l + 6)
Let z(d) be the first derivative of d**4/4 + 7*d**3/2 + 15*d + 37. Let q(h) be the first derivative of z(h). Factor q(t).
3*t*(t + 7)
Let u(j) be the second derivative of j**6/75 + j**5/25 - j**4/30 - 2*j**3/15 - 112*j. Solve u(f) = 0.
-2, -1, 0, 1
Let m = -475 + 481. Let o(g) be the first derivative of -m - g + 1/3*g**3 - 1/4*g**4 + 1/2*g**2. Factor o(z).
-(z - 1)**2*(z + 1)
Factor 5*t + t**4 + 5 - 8*t**2 - 8*t**3 + 10 + 98*t**5 + 11*t + 1 - 97*t**5.
(t - 2)**2*(t + 1)*(t + 2)**2
Let -101*b**2 - 4*b**2 - 3*b - 5*b**3 + 8*b + 105*b**4 = 0. What is b?
-1, 0, 1/21, 1
Find n such that 26*n + 4*n + n**2 + 82*n + 3136 = 0.
-56
Let l(i) = 7*i**2 + 13*i + 2. Let a(x) be the second derivative of 2*x**3 + 1/2*x**4 + 3/2*x**2 + 2*x + 0. Let z(r) = 4*a(r) - 3*l(r). Factor z(b).
3*(b + 1)*(b + 2)
Let d(i) be the second derivative of 1/6*i**6 + 0 - 5/12*i**4 - 5/3*i**3 + 0*i**2 + 1/2*i**5 + 27*i. Let d(l) = 0. Calculate l.
-2, -1, 0, 1
Let z(y) be the first derivative of -y**4/2 + 10*y**3 - 75*y**2 + 250*y + 39. Suppose z(p) = 0. Calculate p.
5
Let f be 2/((-8)/(-6))*(-5 + (-88)/(-11)). Suppose 9/2*o**2 - 3*o + 3/2*o**5 + 0 + 3/2*o**3 - f*o**4 = 0. Calculate o.
-1, 0, 1, 2
Let h(m) = -8*m**3 + 92*m**2 - 92*m + 24. Let k(r) = r**3 + r**2 - r + 1. Let x(y) = h(y) - 8*k(y). Solve x(a) = 0.
1/4, 1, 4
Suppose -80 = 2*r + 88. Let t be r/(-16) - (-3)/4. Solve 1 + t*y**3 - 8*y**3 - 1 = 0.
0
Let d be (11 - 40)*((-112)/(-10) - -1). Let x = 16121/45 + d. Suppose x*t + 2/3*t**3 - 16/9 - 28/9*t**2 = 0. Calculate t.
2/3, 2
Let d(a) be the second derivative of -2*a**6/15 - 12*a**5/5 - 12*a**4 - 185*a. Factor d(b).
-4*b**2*(b + 6)**2
Factor 171 + 18*a - 201*a - 175*a + 13*a + 7*a**2 - a**2.
3*(a - 57)*(2*a - 1)
Let b(l) be the first derivative of -2*l**3/51 - 8*l**2/17 - 24*l/17 - 46. Find d such that b(d) = 0.
-6, -2
Let z(r) = -7*r**2 - r + 6. Let b = 24 + -18. Let h(t) = 8*t**2 + t - 7. Let x(s) = b*z(s) + 5*h(s). Factor x(o).
-(o + 1)*(2*o - 1)
Let n be ((-8)/18)/((-14)/126). Let j(l) be the third derivative of -3/20*l**5 - 4*l**2 - 3/8*l**n - 1/2*l**3 + 0*l + 0 - 1/40*l**6. Factor j(d).
-3*(d + 1)**3
Let d(f) be the third derivative of f**5/20 - 11*f**4/8 + 5*f**3 + 6*f**2. Factor d(o).
3*(o - 10)*(o - 1)
Let p = -1050 + 882001/840. Let k(y) be the third derivative of 0*y**5 + 0*y**6 + 0 + 5*y**2 + p*y**7 + 0*y**3 + 0*y**4 + 0*y. Suppose k(b) = 0. Calculate b.
0
Let o be ((-282)/(-4) + -1)/(3/6). What is z in -o*z + 273*z - 2*z**3 - 131*z - z**3 = 0?
-1, 0, 1
Suppose -2 = p, -5*f + 1031*p = 1029*p - 14. Factor 8/15*y**f - 2/5*y - 2/15.
2*(y - 1)*(4*y + 1)/15
Let g(y) be the first derivative of 3*y**4/22 - 204*y**3/11 + 7803*y**2/11 - 227. Suppose g(o) = 0. Calculate o.
0, 51
Suppose 31*v - 38 = -19 + 43. Determine f so that -8/7*f - 20/7*f**v - 16/7*f**3 - 4/7*f**4 + 0 = 0.
-2, -1, 0
Let 60 - 31*x + 3*x**2 + 10*x - 6*x = 0. What is x?
4, 5
Let g(v) be the second derivative of 2*v**6/15 + 7*v**5/5 - 52*v**4/3 + 184*v**3/3 - 96*v**2 + 5*v + 10. Factor g(f).
4*(f - 2)**2*(f - 1)*(f + 12)
Let i be 4 + -6 - (27 + -31). Solve 2/3*l**3 - 2/3 - 2*l**i + 2*l = 0.
1
Let x(z) be the third derivative of 1/105*z**7 - 4*z**2 + 0*z**5 + 0 + 0*z**6 + 1/336*z**8 + 0*z**4 + 0*z**3 + 0*z. Factor x(s).
s**4*(s + 2)
Factor -16/3*y + 16/3*y**3 + 4/3*y**2 - 4/3*y**4 + 0.
-4*y*(y - 4)*(y - 1)*(y + 1)/3
Let w(h) be the third derivative of -h**7/280 - 7*h**6/160 - 7*h**5/40 - h**4/4 - 11*h**2 - 1. Suppose w(n) = 0. Calculate n.
-4, -2, -1, 0
Let z(i) be the third derivative of 1/15*i**6 + 8/3*i**3 + 0 - 2/3*i**4 + 2/105*i**7 - 25*i**2 - 1/5*i**5 + 0*i. Factor z(m).
4*(m - 1)**2*(m + 2)**2
Suppose -27 = -5*y - 2. Suppose 29 = 8*w + y. Factor -4/9*p**w - 2/9*p**4 + 4/9*p + 2/9*p**2 + 0.
-2*p*(p - 1)*(p + 1)*(p + 2)/9
Let 11578 - 3*j**2 - 11578 - 3*j**3 = 0. What is j?
-1, 0
Let z(f) = -2*f**4 + 2*f**3 + 2*f**2 + 3*f. Let r(u) = u**4 - u**2 + u. Let o(j) = -20*r(j) + 4*z(j). Solve o(a) = 0.
-1, 0, 2/7, 1
Let v(h) be the first derivative of -2*h**3/33 + 48*h**2/11 + 306*h/11 + 910. Solve v(n) = 0 for n.
-3, 51
Let k(j) = 7*j**3 - j**2 - 6*j - 3. Let q(u) = 8*u**3 - 7*u - 4. Let c(t) = 7*k(t) - 6*q(t). Let d be c(7). Factor 0*h + 0 + 1/3*h**5 + h**4 + 0*h**2 + 0*h**d.
h**4*(h + 3)/3
Let p = 25 + -15. Let l(i) = 6 - 4*i**2 + 4*i + p*i**3 - 12*i**3 + 2*i. Let z(s) = -4*s**3 - 9*s**2 + 13*s + 13. Let h(v) = -13*l(v) + 6*z(v). Factor h(a).
2*a**2*(a - 1)
Let r(d) be the second derivative of -d**6/105 + d**5/28 + d**4/28 - 4*d**3/21 - 2*d**2/7 + 107*d - 2. Suppose r(n) = 0. Calculate n.
-1, -1/2, 2
Let u = -14/285 - -128/285. Factor 0 - u*y + 1/5*y**3 - 1/5*y**2.
y*(y - 2)*(y + 1)/5
Let o(w) be the first derivative of 2*w**5/95 + 2*w**4/19 - 8*w**3/19 - 32*w**2/19 + 128*w/19 + 136. Find c, given that o(c) = 0.
-4, 2
Let q be (-100)/(-32) - 4/32. Solve -57/2*f**2 - 6*f - 18*f**q + 0 = 0 for f.
-4/3, -1/4, 0
Let r(l) be the first derivative of -8/9*l**3 + 0*l - 13 - 1/6*l**4 + 4/3*l**2 + 2/15*l**5. Factor r(x).
2*x*(x - 2)*(x - 1)*(x + 2)/3
Let w = -217 + 217. Let s(o) be the third derivative of w*o + 5*o**2 + 0 - 1/10*o**5 + 0*o**3 + 3/8*o**4 - 1/40*o**6. Factor s(t).
-3*t*(t - 1)*(t + 3)
Let z be (196/112)/(2/8) + -4. Find s, given that 0*s**2 + 3/7*s**4 + 0 - 12/7*s + 9/7*s**z = 0.
-2, 0, 1
Suppose -w + 22 = 5*r, -3*w + 2*r = 3*r - 10. Suppose -3*d + 4*d = w. Factor 4*a - 3*a**2 - a**2 + 2*a**d.
-2*a*(a - 2)
Let j(d) = 20*d - 22*d + 15*d**2 - 30*d - 8*d - 15. Let f(x) = -15*x**2 + 40*x + 15. Let y(r) = -6*f(r) - 7*j(r). Find p, given that y(p) = 0.
-1/3, 3
Let i(h) be the second derivative of 203*h**6/10 + 123*h**5/4 + h**4/2 + 29*h. Solve i(p) = 0 for p.
-1, -2/203, 0
Let u = -17 + 22. Let i(k) = 5*k**4 - 14*k**3 - 3*k**2. Let m(y) = -3*y**4 + 9*y**3 + 2*y**2. Let f(o) = u*i(o) + 8*m(o). Determine b so that f(b) = 0.
-1, 0
Factor -1/8*g**3 - 3/8*g**4 + 11/8*g**2 - 3/2*g + 1/8*g**5 + 1/2.
(g - 2)*(g - 1)**3*(g + 2)/8
Let s be -17 + 12/(