 Let a be o(2). Suppose 7*i - a*i - 3*i**2 - i**3 - 5*i = 0. Calculate i.
-2, -1, 0
Suppose 4*y + 0*y = 5*c - 50, -3*c = -4*y - 38. Factor -15*a**2 + a**3 + 12*a + 18*a + a**3 - 23*a**2 + c*a**2.
2*a*(a - 15)*(a - 1)
Let v(d) = 8*d**5 - 71*d**4 + 25*d**3 + 71*d**2 - 31*d. Let f(s) = s**5 - s**4 - s**3 + s**2 + s. Let p(k) = -2*f(k) + v(k). Determine g so that p(g) = 0.
-1, 0, 1/2, 1, 11
Let i be (-2)/(-8) - (4 + -5 - 1666/408). Suppose -4 + i*p + 8/3*p**2 + 4/3*p**4 - 16/3*p**3 = 0. What is p?
-1, 1, 3
Factor -121*i**4 + 2604*i + 0*i**4 - 14*i**5 - 264*i**3 - 2604*i - 7*i**4.
-2*i**3*(i + 6)*(7*i + 22)
Let s = 403496 - 403493. Find h, given that -3/2*h**5 + 0 - 33/2*h**s + 14*h**4 + 4*h**2 + 0*h = 0.
0, 1/3, 1, 8
Let m(v) be the first derivative of 1/15*v**5 + 0*v - 1/3*v**3 - 1/3*v**2 + 0*v**4 - 40. Factor m(w).
w*(w - 2)*(w + 1)**2/3
Let c(z) = 4*z**3 + 100*z**2 - 621*z + 35. Let w(v) = -13*v**3 - 301*v**2 + 1864*v - 112. Let q(o) = -16*c(o) - 5*w(o). Factor q(k).
k*(k - 88)*(k - 7)
Let -2/7*p**2 + 1294/7*p + 1296/7 = 0. Calculate p.
-1, 648
Let u(t) be the third derivative of t**6/1980 + t**5/220 + t**4/66 + 43*t**3/3 - 5*t**2 - 2*t. Let r(i) be the first derivative of u(i). Factor r(f).
2*(f + 1)*(f + 2)/11
Let r(u) = -u + 4. Let j(p) = p**3 - p**2 - 43*p + 12. Let v be j(7). Let y(m) = -m**2 + 3*m - 21. Let o(x) = v*r(x) + y(x). Factor o(h).
-(h + 1)**2
Let k be ((-14)/(-7))/(1/(-42)). Let a = k + 86. Factor 4*d**3 + 5*d**a - 45*d - 25 - 11*d**2 + d**3 - 9*d**2.
5*(d - 5)*(d + 1)**2
Let x(d) be the second derivative of d**6/15 - 7*d**5/5 - d**4/2 + 40*d**3/3 + 28*d**2 + 443*d. Factor x(t).
2*(t - 14)*(t - 2)*(t + 1)**2
Suppose -5*t = i - 3*i + 148, 2*t + 160 = 2*i. Let q be (-288)/i - (-2 + (-3 - -1)). Factor q*w + 2/7*w**2 - 6/7.
2*(w - 1)*(w + 3)/7
Let v be (884640/1664)/95 + -2 + 36/16. Find i such that -v + 74/13*i + 2/13*i**2 = 0.
-38, 1
Let d(h) be the second derivative of -1/9*h**3 + 13*h + 0*h**2 + 0 - 1/54*h**4. Factor d(r).
-2*r*(r + 3)/9
Let r(a) = 11*a**3 + a**2 - 14*a + 2. Let t = -590 - -572. Let o(k) = k**3 + k**2 - 2. Let n(m) = t*o(m) + 2*r(m). Factor n(j).
4*(j - 5)*(j - 1)*(j + 2)
Suppose -11*y = -15*y - 3*d - 33, -5*d = 5*y + 35. Let o be (-5 - y - 14)*(-4)/14. Factor 6/5*b**3 - 2/5*b**4 - 6/5*b**o + 2/5*b + 0.
-2*b*(b - 1)**3/5
Let h = -136 - -132. Let r be 128/(-480)*9/h. Factor 0*x + 0 + r*x**2.
3*x**2/5
Let i(g) = 3*g**2 + g - 2. Let z(x) = -x**4 - 4*x**3 - 6*x**2 + 11*x + 14. Let k(n) = -3*i(n) - z(n). Find d such that k(d) = 0.
-4, -1, 2
Let n(s) be the second derivative of s**4/16 - 67*s**3/4 - 2085*s**2/8 + 4932*s. Factor n(r).
3*(r - 139)*(r + 5)/4
Let d(w) be the third derivative of -w**7/210 - w**6/5 - 69*w**5/20 - 95*w**4/3 - 168*w**3 + 853*w**2. Factor d(z).
-(z + 4)**2*(z + 7)*(z + 9)
Factor -210*w**2 - 46*w + 41*w + 1242 - 140*w - 28*w - 3*w**3 - 16*w.
-3*(w - 2)*(w + 3)*(w + 69)
Let q(d) = -d**3 - 2*d**2 - 62*d - 385. Let o be q(-5). Suppose -3/7*n**3 - 1/7*n**5 + 0 + o*n - 3/7*n**4 - 1/7*n**2 = 0. What is n?
-1, 0
Let g(b) be the third derivative of b**8/112 + 3*b**7/35 + 3*b**6/10 + 2*b**5/5 + 1331*b**2. Find j such that g(j) = 0.
-2, 0
Let d(r) = -r**3 + 10*r**2 - 11*r - 38. Let w be d(8). Let q(f) = -24*f**2 + 2*f + 22. Let v(u) = -2*u**3 + u + 1. Let c(j) = w*v(j) + q(j). Factor c(m).
-4*(m - 1)*(m + 1)*(m + 6)
Let c(m) be the third derivative of 7/30*m**4 + 68*m**2 + 0 + 1/150*m**5 + 0*m + 0*m**3. Factor c(z).
2*z*(z + 14)/5
Let m = 447 + -412. Let f be ((-30)/m - 0)*(-63)/18. Factor -8/5*g - 12/5*g**2 - 2/5 - 8/5*g**f - 2/5*g**4.
-2*(g + 1)**4/5
Find b such that -2/21*b**3 - 304/21*b - 256/21 - 50/21*b**2 = 0.
-16, -8, -1
Solve 84*i**3 - 279/2*i**2 + 107/2*i - 6 + 8*i**4 = 0 for i.
-12, 1/4, 1
Suppose 96*d = 66 + 163 - 37. Let u = 42 + -124/3. Determine o so that -u + 2/9*o**3 - 10/9*o**d + 14/9*o = 0.
1, 3
Suppose 0 = 32*z - z - 775. Factor -128 + z*c**3 - 32*c + 78*c**4 - 82*c**4 + 48*c**2 - 17*c**3.
-4*(c - 4)*(c - 2)*(c + 2)**2
Let i(r) be the third derivative of -r**7/115 + 44*r**6/345 + 211*r**5/230 - 74*r**4/69 - 44*r**3/23 + 909*r**2. Determine p so that i(p) = 0.
-3, -2/7, 2/3, 11
Let a(m) = -m**3 - 16*m**2 + 131*m + 491. Let f be a(8). Factor 2/11*w**f - 38/11 - 2/11*w + 38/11*w**2.
2*(w - 1)*(w + 1)*(w + 19)/11
Let y(a) = -19*a**2 - 17*a + 1. Let f = 39 + -45. Let k(m) = 16*m**2 + 16*m - 2. Let g(l) = f*y(l) - 7*k(l). Let g(x) = 0. What is x?
1, 4
Suppose 0 = -2*f - 5*t + 122, 0 = 3*f - 2*f - 5*t - 76. Suppose -8*l + f - 2 = 0. Suppose -5*p**5 - 4*p + l*p**3 + 3*p**5 + 0*p - 2*p**5 = 0. Calculate p.
-1, 0, 1
Let v(i) = 3*i - 18. Let w be v(12). Suppose -w*c = -11*c - 21. Solve -j + 3*j**3 - 10*j + 3*j - 4*j + c*j**4 - 12*j**2 = 0.
-2, -1, 0, 2
Let v = -579 - -582. Factor 9*q**2 - 3*q**v - 33 - q**2 - 3 + 6*q + q**3 + 0*q**2.
-2*(q - 3)**2*(q + 2)
Let i = -355253 + 1776268/5. Suppose -3/5*o**3 - 3/5*o**2 + i*o + 3/5*o**4 + 0 = 0. What is o?
-1, 0, 1
Let f(d) = 7*d**3 + 14*d**2 - 6*d - 9. Let p(s) = -6*s**3 - 13*s**2 + 5*s + 6. Let a(j) = 2*f(j) + 3*p(j). What is h in a(h) = 0?
-3, 0, 1/4
Let f be 4 - (30/26 - 10/65). What is v in -35 + 17 + 22*v - 14*v**f + 14*v**2 - 6*v**4 + 5*v**3 - 13*v**3 + 10 = 0?
-4, -1, 1/3, 1
Let u be ((-3)/28)/((-25)/220) + (-34)/238. Find d such that 0*d**2 - u*d**5 - 4/5*d**3 - 8/5*d**4 + 0 + 0*d = 0.
-1, 0
Let s(q) be the second derivative of 5*q**4/4 + 95*q**3/6 + 147*q. Let l(z) = 8*z**2 + 48*z. Let n(m) = -5*l(m) + 3*s(m). Determine w, given that n(w) = 0.
-9, 0
Let h(o) = -o**2 - 34*o - 289. Let s(b) = 1002 + 126*b + 3*b**2 - 24*b - 135. Let d(w) = 14*h(w) + 4*s(w). Solve d(y) = 0 for y.
-17
Let p = 33543 + -435931/13. Find y such that p - 32/13*y + 2/13*y**2 = 0.
8
Let p(a) be the first derivative of -a**6/6 - 13*a**5/5 - 43*a**4/4 + 7*a**3 + 72*a**2 - 108*a + 10. Determine z, given that p(z) = 0.
-6, -3, 1
Let c be (-237 - -192)*(-2)/30. Determine d, given that -1/2 + 5*d**c - 3/2*d**4 - 6*d**2 + 3*d = 0.
1/3, 1
Let u = 426/41 + -269/164. Let g(b) be the first derivative of -10*b**2 + 19/5*b**5 + u*b**4 - 5/2*b**6 - 5*b**3 - 4*b + 6. Suppose g(i) = 0. What is i?
-1, -2/5, -1/3, 1, 2
Let c be 1674/1953*(-7)/(-3). Let q(k) be the second derivative of 5/3*k**3 + 0 + 15*k - 1/6*k**4 - 4*k**c. Determine v so that q(v) = 0.
1, 4
Let j(r) be the second derivative of -r**6/70 - 9*r**5/5 + 173*r**4/28 + 6*r**3 - 258*r**2/7 + 1174*r - 1. Let j(b) = 0. What is b?
-86, -1, 1, 2
Let o(a) be the second derivative of -a**6/45 + 7*a**5/10 + 25*a**4/3 + 316*a**3/9 + 72*a**2 + 66*a + 3. Factor o(z).
-2*(z - 27)*(z + 2)**3/3
Factor 99/4 - 135/4*l - 1/4*l**3 + 37/4*l**2.
-(l - 33)*(l - 3)*(l - 1)/4
Let o(k) be the first derivative of -3*k**2/2 + 14*k + 25. Let i be o(4). Determine m so that -8 + 3*m**2 + 7*m**2 - 2*m**4 - 8*m**2 + 8*m**i = 0.
-2, -1, 1, 2
Let z = 24433/4 - 24423/4. Let -z*v**2 + 5*v - 5/2*v**3 + 0 = 0. What is v?
-2, 0, 1
Let d(k) = -102*k - 6014. Let h be d(-59). Let o(u) be the third derivative of 1/150*u**5 + 0*u + 20/3*u**3 + 0 - 1/3*u**4 + h*u**2. Find p such that o(p) = 0.
10
Let f(k) be the third derivative of -k**6/160 + 71*k**5/80 + 9*k**4/4 + 2*k**2 - 1787. Determine w, given that f(w) = 0.
-1, 0, 72
Let m(c) be the third derivative of -c**8/84 - 8*c**7/105 + 13*c**6/15 + 32*c**5/15 - 25*c**4/6 - 56*c**3/3 + 7*c**2 + 3*c - 10. Find t, given that m(t) = 0.
-7, -1, 1, 4
Let j(u) be the third derivative of u**6/120 - u**5/20 + u**4/12 - 1371*u**2. Factor j(y).
y*(y - 2)*(y - 1)
Let o be ((-10)/(-1))/(-1 - -3). Factor -32*t**4 + 96*t + 1639*t**2 + 3*t**o - 1807*t**2 + 108*t**3 + 2*t**4.
3*t*(t - 4)*(t - 2)**3
Factor 351 - 1629/7*x + 1/7*x**3 + 267/7*x**2.
(x - 3)**2*(x + 273)/7
Let o(w) be the second derivative of -w**6/15 + 17*w**5/5 - 106*w**4/3 - 1330*w**3/3 - 1083*w**2 - 88*w. Factor o(d).
-2*(d - 19)**2*(d + 1)*(d + 3)
Let j(o) be the first derivative of 2 + 8 + 38 - 19 + o**3 - 201*o**2 + 13467*o. Solve j(t) = 0.
67
Let q be ((-20)/35)/((-5)/(-70)*-2). Solve 60*u**2 - 4*u**3 + 11*u**3 + 0*u**3 + 159*u + 102 - q*u**3 = 0 for u.
-17, -2, -1
Factor -110/3*c + 2/3*c**2 + 196.
2*(c - 49)*(c - 6)/3
Suppose -56 + 54 = -c. Let f be 2*(c - -2 - 1/2). Suppose 3*g + f*g + 20 - 4*g + 14*g + 5*g**2 = 0. Calculate g.
-2
Let h = -10979 + 219583/20. Let 