 10 = 2*m. Determine g, given that 0*g**2 - 2*g**4 - 3*g**2 + 3*g**m + 2*g**2 = 0.
-1, 0, 1
Let f be -1 - ((7/1 - 11) + 1). Let d(w) be the third derivative of 0*w - 1/105*w**6 - 1/84*w**4 - 1/42*w**5 + 0*w**3 + 3*w**f + 0. Factor d(k).
-2*k*(k + 1)*(4*k + 1)/7
Factor 27 - 1/5*k**2 + 134/5*k.
-(k - 135)*(k + 1)/5
Suppose 0*m - 2/3*m**3 - 1/3*m**5 + 0*m**2 + m**4 + 0 = 0. What is m?
0, 1, 2
Let x(k) = -1. Let l(g) be the first derivative of 4*g**3/3 - 18*g - 4. Let y(v) = -l(v) + 2*x(v). Factor y(b).
-4*(b - 2)*(b + 2)
Let g = -62 + 35. Let k = -27 - g. Factor -c**3 - 1/3*c**2 + 0 + k*c.
-c**2*(3*c + 1)/3
Let u(b) = 7*b**3 + b**2 - 2*b - 6. Let s(d) = -10*d**3 - 8*d**3 - 5*d**3 + 17 + 6*d - 3*d**2 + 3*d**3. Let x(v) = -6*s(v) - 17*u(v). Factor x(j).
j*(j - 1)*(j + 2)
Let o be 15/(-32)*(-10)/125. Let y(b) be the second derivative of -o*b**5 - b + 0 + 0*b**2 - 1/12*b**3 + 5/48*b**4. Factor y(t).
-t*(t - 1)*(3*t - 2)/4
Suppose 45414 + 2/3*v**2 + 348*v = 0. What is v?
-261
Let f = 1028 + -1023. Let c(t) be the third derivative of 0*t + 1/7*t**4 + 0 - 13/210*t**f - 4/21*t**3 - 1/735*t**7 + 7*t**2 + 1/70*t**6. Solve c(a) = 0 for a.
1, 2
Determine l so that 0 + 2/3*l**4 + 0*l**3 - 2/3*l**2 + 0*l = 0.
-1, 0, 1
Let c = -35303/228 - 679/57. Let d = -166 - c. Factor 3/4*q**4 - 1/4 - 1/2*q**2 - d*q + 1/2*q**3 + 1/4*q**5.
(q - 1)*(q + 1)**4/4
Let r = -25 - -33. Factor 3*q + r*q**3 + q + 4*q**4 - 3 - 1 - 12*q.
4*(q - 1)*(q + 1)**3
Suppose -2/7*i**2 - 24/7*i + 0 = 0. Calculate i.
-12, 0
Let u = 3740/5601 - 2/1867. Let y = 1805/9 - 599/3. Factor y + 2/9*v**3 - u*v**2 + 0*v.
2*(v - 2)**2*(v + 1)/9
Suppose 2*p + 2 = 6. Let o = -7 - -7. Determine l so that 3*l**3 + l**4 + 0*l**p + l**2 + 2*l**2 + o*l**2 + l = 0.
-1, 0
Suppose 0 + 5*q**2 + 5*q**3 + 5/4*q = 0. Calculate q.
-1/2, 0
Suppose 5*v + 35 = 5*m - 0*m, 4*v + 7 = -3*m. Let g(s) be the first derivative of 0*s**2 + s**m + 2*s**2 - 5*s**2 - 7 + 3*s. Determine w, given that g(w) = 0.
1
Let w(m) = m**2 - m - 1. Suppose -4*f = 2*u, u = -u - 2*f + 4. Let j(i) = -2*i**2 - 16*i - 16 + 3*i**2 + 0*i**2. Let c(d) = u*w(d) - j(d). Factor c(n).
3*(n + 2)**2
Let w(g) be the first derivative of g**7/21 - g**6/9 + g**5/30 + g**4/18 - g + 7. Let u(t) be the first derivative of w(t). Factor u(d).
2*d**2*(d - 1)**2*(3*d + 1)/3
Let d(v) = v**2. Let p be -1 + 0 - 3/((-3)/(-4)). Let x(y) = -y**3 + 13*y**2 - 75*y + 125. Let i(h) = p*x(h) - 10*d(h). Factor i(w).
5*(w - 5)**3
Suppose -2*h = 9*h + 10*h. Let v(b) be the second derivative of 2/21*b**4 + h*b**3 - 6*b + 0 - 9/35*b**5 - 22/105*b**6 + 0*b**2. Factor v(w).
-4*w**2*(w + 1)*(11*w - 2)/7
Let w(d) be the second derivative of d**5/80 - 13*d**4/48 - d**3/24 + 13*d**2/8 + d + 32. What is o in w(o) = 0?
-1, 1, 13
Let u be ((1/15)/((-9)/(-54)))/(14/175). Factor -14/9*x**2 - 2*x**3 - 2/9*x**u - 4/9*x + 0 - 10/9*x**4.
-2*x*(x + 1)**3*(x + 2)/9
Let r be (-39)/(-15) + -3 + (-189)/15. Let t be ((-3)/5)/(r/65). Suppose -2/3*a + 2*a**2 + 0*a**t + 0 - 8/3*a**4 = 0. What is a?
-1, 0, 1/2
Suppose -4*q = -9*q + t + 18, 0 = 5*q - 4*t - 27. Suppose -4*n + 4*l + q = 11, -l = -4*n + 7. Suppose 2/19*r**n + 0*r + 0 - 2/19*r**2 = 0. Calculate r.
0, 1
Factor 7 + 30 - 3*d**2 + 77*d + 35 - 62*d.
-3*(d - 8)*(d + 3)
Let m = 6174 + -18518/3. What is s in -m*s + 0 + 1/3*s**2 = 0?
0, 4
Let o be (1*6)/((-30)/(-20)). Let 22*i + 27*i + o*i**2 - 37*i = 0. What is i?
-3, 0
Determine w so that -3*w**3 - 2*w**3 + 84*w**4 + 7*w**2 - 91*w**4 + w**5 + 4*w**3 = 0.
-1, 0, 1, 7
Let c = 13 - 15. Let t = c + 4. Suppose -4*g + 9 - 17 - 4*g**5 + 25*g**2 - 9*g**t + 8*g**3 - 8*g**4 = 0. Calculate g.
-2, -1, 1
Let u(g) = -2*g + 16. Let b be u(6). Suppose -12*p - b*p**2 - 3 - 1 - 6 + 2 = 0. Calculate p.
-2, -1
Let l(h) be the second derivative of 1/14*h**5 + 3*h + 0*h**2 + 1/147*h**7 + 4/105*h**6 + 0 + 1/21*h**4 + 0*h**3. Factor l(r).
2*r**2*(r + 1)**2*(r + 2)/7
Let b(w) be the third derivative of 343*w**6/180 + 49*w**5/15 - 32*w**3/9 + 21*w**2 + w. Factor b(m).
2*(7*m - 2)*(7*m + 4)**2/3
Let s(u) be the second derivative of u**7/21 + u**6/3 + u**5/5 - 7*u**4/3 - u**3 + 9*u**2 - 5*u - 29. Find h, given that s(h) = 0.
-3, -1, 1
Let d = -188 - -184. Let q be 3*4/(-72)*d. Factor -1/6*f**4 - 2/3*f**3 - 1/6 - f**2 - q*f.
-(f + 1)**4/6
Let g(l) = 0 + 26*l - 61*l**2 + 2*l**3 + 2 - 3*l**3 + 36*l**2. Let a be g(-26). Suppose b**a - 1/2*b**3 - 1 + 1/2*b = 0. Calculate b.
-1, 1, 2
Let u(p) be the first derivative of -1 + 5*p**2 - 3*p**2 - 7*p**2 + 5*p**3 - 5*p. Suppose u(n) = 0. Calculate n.
-1/3, 1
Factor -64/5*s**2 + 46/5*s - 2*s**3 + 28/5.
-2*(s - 1)*(s + 7)*(5*s + 2)/5
Suppose -5*w - 3081 + 3055 = -3*z, -2*w = 5*z - 2. Let -46/19*m + 46/19*m**3 + 10/19*m**4 + 20/19 - 30/19*m**z = 0. What is m?
-5, -1, 2/5, 1
Determine n, given that -14/11*n**4 + 2*n**3 - 16/11*n + 0 + 20/11*n**2 = 0.
-1, 0, 4/7, 2
Suppose 5*r + 2*p = 34 + 8, -2*p = 2*r - 18. Determine x, given that -15 + 98*x**2 - 103*x**2 + 28*x - r*x = 0.
1, 3
Let j(x) = x**3 - x + 1. Let q(l) = -2*l**5 - 4*l**4 + 48*l**3 + 72*l**2 - 174*l - 312. Let f(w) = 12*j(w) - q(w). Solve f(p) = 0 for p.
-3, -2, 3
Let i be 3 + (-1 + 2)*37. Let y be (-6)/(-2) + 1 + i. Let 31*b**2 + 12 + 21*b**4 + 3*b**5 - 14*b**2 + 14*b**2 + 48*b + 57*b**3 + y*b**2 = 0. Calculate b.
-2, -1
Let i(k) be the first derivative of -k**5/30 + k**3/9 - 5*k - 1. Let p(z) be the first derivative of i(z). Factor p(f).
-2*f*(f - 1)*(f + 1)/3
Let 120/17*y**3 - 20/17*y + 2/17 + 26/17*y**2 + 72/17*y**4 = 0. Calculate y.
-1, 1/6
Let y(k) = 2*k**5 - 2*k + 4. Suppose -5*f + f - 60 = 0. Let l = f - -4. Let j(u) = 6*u**5 - u**3 - 5*u + 11. Let d(i) = l*y(i) + 4*j(i). Factor d(c).
2*c*(c - 1)**2*(c + 1)**2
Let n = 11 - 8. Let b be (36/8)/(2/(20/25)). Determine j so that -1/5*j**n + 27/5 + b*j**2 - 27/5*j = 0.
3
Let c(y) = -y**2 - 23*y - 90. Let r be c(-18). Factor 4/13*x**2 - 2/13*x**5 + 2/13*x + 0*x**3 - 4/13*x**4 + r.
-2*x*(x - 1)*(x + 1)**3/13
Let v be (2*3/3)/(-1). Let k be (-9 - -9)/(v/((-2)/(-2))). Suppose k*s**3 + 4/5*s**2 - 2/5*s**4 + 0*s - 2/5 = 0. Calculate s.
-1, 1
Let i(j) be the third derivative of j**7/350 - j**6/40 - j**5/100 + j**4/8 + 8*j**2 - j. Solve i(d) = 0 for d.
-1, 0, 1, 5
Suppose 814/5*p + 1616/5*p**2 + 102/5 - 32/5*p**3 = 0. Calculate p.
-1/4, 51
Let w(b) = b + 3. Let s = -25 + 24. Let i be w(s). Suppose -5*p - 3*p**3 - 6*p**2 - i*p**4 + 7*p + 9*p**3 = 0. Calculate p.
0, 1
Let h = 917 + -913. Factor 1 + 5/4*k**2 - h*k + 25/4*k**3.
(k + 1)*(5*k - 2)**2/4
Let y(d) be the first derivative of 0*d**3 + 1/14*d**6 - 3/35*d**5 + 0*d**4 + 0*d - 14 + 0*d**2. Solve y(r) = 0 for r.
0, 1
Let d(m) be the first derivative of m**9/756 + m**8/140 + m**7/210 - m**6/30 - m**5/15 - 26*m**3/3 - 3. Let x(w) be the third derivative of d(w). Factor x(i).
4*i*(i - 1)*(i + 1)**2*(i + 2)
Suppose -d - 3*c - 8 = 0, 5*d - 11 = -0*c + 2*c. Determine x, given that d + 6 - 4 + 4*x + x**2 = 0.
-3, -1
Let n(p) be the third derivative of p**5/12 - 175*p**4/24 + 80*p**3 - p**2 - 203. Solve n(f) = 0.
3, 32
Suppose 0 = 16*d - 233 - 87. Determine h so that 20*h**2 - 3*h**4 - 37*h**2 + d*h**2 - 3*h**3 - 3*h**3 + 6*h = 0.
-2, -1, 0, 1
Let t(m) = m**2 + 15*m + 39. Let u be t(-3). Let n(j) be the third derivative of -1/156*j**4 + 0*j**u + 0*j**5 + 0 + 1/780*j**6 - j**2 + 0*j. Factor n(p).
2*p*(p - 1)*(p + 1)/13
Let y = 1/30 + 22/15. Let i = -5/4 + y. Factor 0 - 1/4*z**3 + 0*z - i*z**2.
-z**2*(z + 1)/4
Let m(s) be the second derivative of -s**5/80 + s**4/8 - 11*s**3/24 + 3*s**2/4 - 86*s. Factor m(z).
-(z - 3)*(z - 2)*(z - 1)/4
Let s(p) = 11*p**4 - 10*p**3 - 6*p**2 + 9*p + 8. Suppose -19 = -3*n + 2. Let z(w) = 6*w**4 - 5*w**3 - 3*w**2 + 4*w + 4. Let i(r) = n*z(r) - 4*s(r). Factor i(l).
-(l - 2)**2*(l + 1)*(2*l + 1)
Let y(n) = -75*n**3 - 110*n**2 + 64*n - 14. Let k(t) = 376*t**3 + 550*t**2 - 320*t + 72. Let c(u) = 3*k(u) + 16*y(u). Factor c(s).
-2*(s + 2)*(4*s - 1)*(9*s - 2)
Let p = 459 - 1396/3. Let q = 47/6 + p. Solve q*g**3 + 0*g - 1/2*g**2 + 0 = 0.
0, 1/3
Let h(u) be the first derivative of -2 + 9/5*u**5 - 1/6*u**6 + 0*u**2 - 2*u**4 + 0*u**3 + 0*u. Determine k so that h(k) = 0.
0, 1, 8
Let f = 59 - 55. Suppose -8*o**5 - 13*o**f - 204*o - 7*o**5 + 135*o**3 + 72 + 6*o**2 - 13*o**4 + 32*o**4 = 0. What is o?
-2, 2/5, 1, 3
Let h(c) = 4*c**2 - 3*c + 