 Determine o so that -m*o - 1 - 6*o**2 - 2*o**3 = 0.
-2, -1/2
Let j = 2004/1505 - 102/215. Determine t so that -12/7*t**5 + 57/7*t**2 - 93/7*t**3 - 3/7*t - j + 57/7*t**4 = 0.
-1/4, 1, 2
Let m(z) be the first derivative of 21*z**5/5 - 183*z**4/4 - 18*z**3 + 1134*z**2 + 648*z + 16. What is d in m(d) = 0?
-3, -2/7, 6
Let c(w) be the first derivative of 5*w**6/9 - 16*w**5/15 + w**4/6 + 4*w**3/9 + 141. Factor c(l).
2*l**2*(l - 1)**2*(5*l + 2)/3
Let x = -3/5228 - -5243/26140. Determine m, given that 2/5*m**3 + 0 + 0*m + x*m**4 + 0*m**2 = 0.
-2, 0
Suppose 0 = 2*r + 183 - 189. Let m(f) be the second derivative of -1/5*f**5 - 8/3*f**r + 0*f**2 + 4/3*f**4 - 6*f + 0. Determine y, given that m(y) = 0.
0, 2
Factor 24/7*b**2 + 2*b**4 - 36/7*b**3 + 4/7*b - 6/7.
2*(b - 1)**3*(7*b + 3)/7
Let h(q) be the first derivative of -2/65*q**5 + 1/13*q**4 + 2/39*q**3 - 2/13*q**2 + 0*q + 11. Determine t so that h(t) = 0.
-1, 0, 1, 2
Let a(t) be the first derivative of -t**4/10 + 4*t**3/15 - 2. Let a(w) = 0. What is w?
0, 2
Let r(a) be the third derivative of -a**8/504 + 8*a**7/105 - 83*a**6/90 + 44*a**5/15 - 121*a**4/36 + 29*a**2 + 4*a. Suppose r(h) = 0. Calculate h.
0, 1, 11
Determine p so that -10*p - 35*p**3 + 40*p**2 + 6*p**2 - p**2 = 0.
0, 2/7, 1
Let b = -115013/9 + 12801. Let -4 - b*d**2 + 56/3*d = 0. Calculate d.
3/7
Let t(y) = 56*y**2 - y - y**3 + 12*y + 12 - 65*y**2. Let j be t(-10). Factor 2/3*s**j + 0 - 1/3*s**4 + 0*s - 1/3*s**3.
-s**2*(s - 1)*(s + 2)/3
Let f = -13 + 16. Suppose f*v - 158 = v. What is t in 6 - 15*t**3 - 100*t + 3*t**4 + 33*t**2 + v*t - 6*t**2 = 0?
1, 2
Determine s so that -672*s + 76 + 130*s**2 - 6*s**3 - 100 - 218 - 10*s = 0.
-1/3, 11
Suppose 0 = i + i - s - 9, -3*s = 2*i + 3. Factor 28*x**3 - 60*x**2 - x**4 + 36*x + 0*x**4 - i*x**4.
-4*x*(x - 3)**2*(x - 1)
Suppose 0 = -5*i - z + 21, i + 0*i - z - 3 = 0. Suppose -i*t - 24 = -32. Factor 16*y**2 - 4*y**2 - 8*y**2 - t*y**3 + 2 - 8*y**2 + y**5 + 2*y**4 + y.
(y - 1)**2*(y + 1)**2*(y + 2)
Let z be (-53)/5 - 99/(-81)*9. Suppose -8*l - 40 - z*l**2 = 0. What is l?
-10
Let z(p) = 9*p - 18. Let h(a) = -a**2 + 10*a - 21. Let u(d) = 3*h(d) - 4*z(d). Determine r so that u(r) = 0.
-3, 1
Let h(c) be the second derivative of 5*c**4/12 - 100*c**3/3 + 1000*c**2 - 80*c. Factor h(d).
5*(d - 20)**2
Factor 108*s**3 + 9646*s**2 - 4*s**5 - 44*s**4 + 8*s**5 + 32*s - 9746*s**2.
4*s*(s - 8)*(s - 1)**3
Determine a, given that 120*a - a**2 - 79*a - 256*a - 411*a - 97969 = 0.
-313
Find n, given that 0 + 11/2*n**2 + 1/6*n**3 + 16/3*n = 0.
-32, -1, 0
Suppose -g + 3 = 3*h, 3*g - 3 = -5*h + 6. Solve -g*k**3 + 6*k**2 + 3*k + 10 - 13 - 3 = 0.
-1, 1, 2
Let g be (-1)/(-3)*(15 - 22). Let y = -5/3 - g. Determine r so that -r - 1/3*r**2 - y = 0.
-2, -1
Solve -855/7*s**2 - 9/7*s**5 + 151/7*s**4 - 162/7*s - 533/7*s**3 + 0 = 0 for s.
-1, -2/9, 0, 9
Let v(n) be the first derivative of 3*n + 3*n**3 + 9/2*n**2 + 3/4*n**4 - 6. Factor v(w).
3*(w + 1)**3
Let w(b) be the first derivative of b**6/1080 - b**5/120 + b**4/36 - b**3/3 - b**2 + 29. Let q(o) be the third derivative of w(o). Find s such that q(s) = 0.
1, 2
Let g = 436/537 + -26/179. Let y(o) be the first derivative of -2*o - 1/2*o**2 - 9 + 1/4*o**4 + g*o**3. Factor y(q).
(q - 1)*(q + 1)*(q + 2)
Suppose -8 = 2*o - 4*o. Solve 0*c + 15*c**3 - 18*c**3 + 3*c**o + 0*c + c**2 - c**5 = 0.
0, 1
Let -15*l + 0 - 9/2*l**2 + 33/2*l**3 - 3/2*l**5 + 9/2*l**4 = 0. Calculate l.
-2, -1, 0, 1, 5
Let s(r) = -r**2 + 233*r - 1138. Let z be s(5). Let h = -65/3 - -22. Let -6*k**z + h + k = 0. What is k?
-1/6, 1/3
Factor -23/6*l**4 - 95/3*l**3 - 833/6*l - 329/3*l**2 - 1/6*l**5 - 343/6.
-(l + 1)**2*(l + 7)**3/6
Let r be (-9 - -1)*(-9)/36. Let a(k) be the third derivative of 0 + 1/160*k**6 + 1/8*k**3 - 1/80*k**5 + 7*k**r + 0*k - 1/32*k**4. Factor a(x).
3*(x - 1)**2*(x + 1)/4
Let z(m) = m + 9. Let n be z(-6). Let o = -13/81 - -2764/567. Solve -9/7*p**n - 36/7*p + o*p**2 + 12/7 = 0 for p.
2/3, 1, 2
Let i(x) = x**3 + 18*x**2 - x - 16. Let w be i(-18). Let s(z) be the first derivative of 0*z + 9/4*z**4 + 2 + 3/5*z**5 + 2*z**3 + 0*z**w. Factor s(t).
3*t**2*(t + 1)*(t + 2)
Let h be ((-9)/(-2))/(-9)*(7 - 7). Let g(y) be the third derivative of 7/6*y**4 + 0 - 2/3*y**3 - 61/60*y**5 - 3/70*y**7 + 5*y**2 + h*y + 7/20*y**6. Factor g(w).
-(w - 2)**2*(3*w - 1)**2
Determine a so that -20 - a**2 - 3 - 21*a - 24 + 9*a + 20 = 0.
-9, -3
Let b(x) be the first derivative of x**7/189 - x**6/45 - 2*x - 29. Let v(c) be the first derivative of b(c). Factor v(k).
2*k**4*(k - 3)/9
Let i(x) = -3*x**3 + 5*x**2 - 7*x + 189 - 2*x**3 - 190. Let s(l) = 6*l**3 - 5*l**2 + 7*l + 2. Let h(a) = -5*i(a) - 4*s(a). Factor h(d).
(d - 3)*(d - 1)**2
Let u be 49 + -49 - (-24)/10. Let c = 164/405 - 2/405. Factor -18/5 - c*g**2 + u*g.
-2*(g - 3)**2/5
Let 4/3*n**3 + 16/9*n**2 - 2/9*n**5 + 0 + 0*n - 2/3*n**4 = 0. What is n?
-4, -1, 0, 2
Let s(n) = -2*n - 4. Let j be s(-7). Let -28*z**3 + 19*z**5 + 25*z**2 - 2*z**3 - 34*z**5 - 35*z**5 - 95*z**4 + j*z = 0. Calculate z.
-1, -2/5, 0, 1/2
Let z(s) = -s**2 + 3*s + 5. Let n be z(0). Factor -16*p**3 + 12*p**2 + 15*p**4 - 3*p**n - 9*p**3 + p**3.
-3*p**2*(p - 2)**2*(p - 1)
Let z = -43 + 46. Factor 4*y**5 + 3*y**z + 5*y**2 - 3*y**5 - 7*y**2 - 2*y**5.
-y**2*(y - 1)**2*(y + 2)
Let w(b) be the second derivative of -b**4/60 - 7*b**3/30 + 9*b**2/5 - 91*b. Let w(q) = 0. Calculate q.
-9, 2
Find d such that 0 + 64/3*d + 14/3*d**4 - 2/3*d**5 - 64/3*d**2 - 4*d**3 = 0.
-2, 0, 1, 4
Let h(y) = y**3 - 4*y**2 - 8*y + 20. Let m be h(5). Factor -4*a**2 - 263*a + 268*a + m*a**2.
a*(a + 5)
Suppose -7*r + 9324 = 9303. Determine q, given that -r + 9/2*q - 3/2*q**2 = 0.
1, 2
What is x in -44*x**3 + 59*x - 31*x - 36*x**2 + 80*x + 47*x**3 = 0?
0, 6
Let v be (-8)/3*(-7)/((-112)/(-72)). Suppose r - 2*r - 4 = 0, -3*r - v = -3*k. Solve 0*u**3 + k + u**4 + 1/2*u - 1/2*u**5 - u**2 = 0 for u.
-1, 0, 1
Let u be 1/((-18)/20 - -1). Suppose -2*q + 4*q = -4*p + u, 2 = -2*q. Determine h so that 6*h**3 - 28*h**4 - 5*h**2 - 2*h**2 + 30*h**p - h**2 = 0.
0, 2/7, 1
Let t = -1/1531 - -1535/6124. Let m be 1/(2 - 1)*0. Solve t*u**3 + m - 1/4*u + 0*u**2 = 0 for u.
-1, 0, 1
Let m be (-4 - -2)*(2/(-21))/((-5)/(-30)). Factor -6/7 + m*x - 2/7*x**2.
-2*(x - 3)*(x - 1)/7
Let 0 - 96*s + 3/2*s**2 = 0. What is s?
0, 64
Factor 3/2 - 3/8*j**2 + 9/8*j.
-3*(j - 4)*(j + 1)/8
Suppose 3 = s + c, -2*c = -0*s + s - 3. Factor -3*z**4 - 144*z**3 + 120*z**3 + 3*z**5 - s*z**4.
3*z**3*(z - 4)*(z + 2)
Let f(h) be the second derivative of 0 - 9*h + 1/24*h**4 + 1/2*h**3 + 9/4*h**2. Factor f(p).
(p + 3)**2/2
Suppose 0 = -5*m + 5*s + 10, -2*m - m + 2*s + 6 = 0. Find x such that -x**2 + x**2 + 2*x**m = 0.
0
Let o be 3 + (-95)/50 + (-58)/(-145). Factor 0*h + o*h**2 - 3/2.
3*(h - 1)*(h + 1)/2
Let d(f) be the third derivative of -f**5/90 - 2*f**4/9 - 16*f**3/9 - 50*f**2. Factor d(y).
-2*(y + 4)**2/3
Let j(f) be the first derivative of f**5/270 - f**3/27 - 7*f**2/2 - 14. Let r(m) be the second derivative of j(m). Determine v so that r(v) = 0.
-1, 1
Let d = 12995 + -12993. Factor -8/7*c**4 - 2/7*c**5 + 0*c + 0 - 4/7*c**d - 10/7*c**3.
-2*c**2*(c + 1)**2*(c + 2)/7
Let v(c) = -2*c + 2. Let h(q) = -q**2 - 18*q + 30. Let y(r) = 3*h(r) - 15*v(r). Let y(a) = 0. What is a?
-10, 2
Let f(m) be the third derivative of -m**5/60 + 19*m**4/24 - 10*m**3 - 274*m**2. Factor f(h).
-(h - 15)*(h - 4)
Let r(j) be the first derivative of j**2/2 + j + 3. Let m(c) = c**3 + 2*c**2 - 5*c - 2. Let p(o) = 5*m(o) + 10*r(o). Solve p(g) = 0.
-3, 0, 1
Let l = -53 - -51. Let u be -2 + l/((-14)/4 + 3). Solve 4/5*s**u - 4/5 + 6/5*s = 0.
-2, 1/2
Let o be (-5 - -3)*3/(-21)*2. Let x(q) be the first derivative of 6 - 8/7*q - 2/21*q**3 - o*q**2. Find z, given that x(z) = 0.
-2
Let u be (79/(-15) - -5)/((-2)/3). Let q be 16/(-15)*6/(-8). Suppose 6/5 - u*y**2 + q*y = 0. Calculate y.
-1, 3
Let v be (-3)/9*(1 + -7). Let n be v - (2 - (-1 - -3)). Factor -n*m**2 + 0*m - 5*m - 2*m - 2 + 3*m.
-2*(m + 1)**2
Let w be 264/56 + 4/14. Let n(a) = w*a**3 + 6*a**3 - 4*a**2 - 3*a**3 - a - a. Let f(i) = -24*i**3 + 12*i**2 + 7*i. Let m(z) = -2*f(z) - 7*n(z). Factor m(y).
-4*y**2*(2*y - 1)
Solve -1/3*k**3 - 22*k**2 - 484*k - 10648/3 = 0 for k.
-22
Let q(c) be the second derivative of -1/22*c**2 + 13 - c - 27/44*c**4 - 3/11*c**3. Suppose q(f) = 0. What 