/7*m + 50/7 + 2/7*m**o = 0 for m.
5
Let w be (0 + 0 - -5) + 154/(-35). Let o(a) be the first derivative of 0*a - 3/20*a**4 - 2 - 3/5*a**2 - w*a**3. Suppose o(g) = 0. Calculate g.
-2, -1, 0
Let x = 421/1588 + -6/397. Let x*h + 1/4*h**2 - 1/2 = 0. Calculate h.
-2, 1
Factor 2*q**2 + 10*q + 48 - 38*q + 6*q.
2*(q - 8)*(q - 3)
Solve -7 + 11/2*r + 3/2*r**2 = 0 for r.
-14/3, 1
Factor 40*s**2 - 160*s**2 + 175*s - 15*s**3 + 5*s**4 + 225*s.
5*s*(s - 4)**2*(s + 5)
Let 20/19*n + 0 - 2/19*n**2 = 0. What is n?
0, 10
Suppose 3*p - 12 = 3*m, 0 = -323*m + 326*m + 6. Factor -1/3*d**4 + 0 - 1/3*d**5 + 1/3*d**p + 1/3*d**3 + 0*d.
-d**2*(d - 1)*(d + 1)**2/3
Suppose -35*w + 41*w = 1494. Let g = -246 + w. Factor -48/5*m**2 + 16/5*m + 4*m**g + 0.
4*m*(m - 2)*(5*m - 2)/5
Let g(y) = 3*y**3 + 5*y**2 + 2*y. Let z(u) = 35*u**3 + 60*u**2 + 25*u. Suppose 4*m + 16 = 0, 0 = -2*f + 3*m + 29 - 13. Let w(c) = f*z(c) - 25*g(c). Factor w(x).
-5*x**2*(x + 1)
Let s(j) = -j**2 - 10*j + 15. Let m be s(-11). Let d be (m/6)/(9/27). Factor 6*b**2 - 8*b**4 - 4*b**3 + b**2 + 4*b + b**d + 0*b**2.
-4*b*(b - 1)*(b + 1)*(2*b + 1)
Factor -5*y - 60*y**3 + 163*y**4 - 188*y**4 + y + 2*y - 8*y - 45*y**2.
-5*y*(y + 1)**2*(5*y + 2)
What is y in -6/5*y + 14/5*y**3 + 0 - 4/5*y**2 - 4/5*y**4 = 0?
-1/2, 0, 1, 3
Let r(v) be the second derivative of 2/3*v**4 + 0*v**2 + 2*v + 0*v**5 - 2/21*v**7 + 0 - 4/15*v**6 + 2/3*v**3. What is w in r(w) = 0?
-1, 0, 1
Let x(t) be the second derivative of 4*t + 1/180*t**5 + 5/2*t**2 + 0*t**3 + 0 + 0*t**4 - 1/360*t**6. Let m(d) be the first derivative of x(d). Factor m(q).
-q**2*(q - 1)/3
Let l = -14/53 - -95/159. Let d(g) be the third derivative of 3*g**2 + 0 + 0*g - l*g**3 - 1/10*g**5 + 1/3*g**4. Factor d(j).
-2*(j - 1)*(3*j - 1)
Suppose 2*r + 4*r = -2*r. Let r + 2/3*j - 3*j**2 = 0. What is j?
0, 2/9
Let s(w) = 8*w + 61. Let j be s(0). Let x = j + -61. Determine b, given that x*b**3 - 1/3*b**2 + 0*b + 1/6*b**4 + 1/6 = 0.
-1, 1
Let g(d) be the first derivative of -4/5*d**5 - 114244*d + 17576*d**2 + 37 - 1352*d**3 + 52*d**4. Factor g(m).
-4*(m - 13)**4
Let z(b) = 4*b**2 - 33*b + 8. Let k be z(8). Let t = 32 + -156/5. Suppose -2/5*c**3 + 0 + t*c**2 + 2/5*c**5 + k*c - 4/5*c**4 = 0. Calculate c.
-1, 0, 1, 2
Factor 0 + 2/5*h + 1/5*h**4 - 1/5*h**5 - h**2 + 3/5*h**3.
-h*(h - 1)**3*(h + 2)/5
Let k = 249632/15 - 16642. Factor -8/15*b - k*b**2 - 8/15.
-2*(b + 2)**2/15
Let f = -3769 + 3769. Factor -2/11*p**2 + 2/11*p**4 + 0*p**3 + 0 + f*p.
2*p**2*(p - 1)*(p + 1)/11
Suppose 6*m = m. Suppose m*b + b - 3 = 0. Factor 12*c**5 + b*c**3 + 3*c**3 - 3*c - 15*c**5.
-3*c*(c - 1)**2*(c + 1)**2
Let i(z) be the first derivative of -10 - 8/13*z + 8/13*z**2 + 1/26*z**4 - 10/39*z**3. Factor i(x).
2*(x - 2)**2*(x - 1)/13
Let j(m) = 18*m**5 - 21*m**3 - 9*m**2 + 66*m - 9. Let n(w) = w**5 - w**2 + 2*w + 1. Let k(f) = j(f) - 15*n(f). Solve k(q) = 0 for q.
-2, 1, 2
Let t = 4420/3 + -1473. Find g, given that 1/3*g**2 + 0 + t*g**3 - 2/3*g = 0.
-2, 0, 1
Factor -32/3*u**3 - 294*u - 112*u**2 - 686/3.
-2*(u + 7)*(4*u + 7)**2/3
Suppose -11*p + 138 = 10*p + 138. What is n in 1/3*n**3 + 4/3*n + 4/3*n**2 + p = 0?
-2, 0
Let h = 2117 - 2117. Let 0*o**3 + 0*o + 0*o**2 + 1/6*o**4 + 1/6*o**5 + h = 0. What is o?
-1, 0
Let x(j) be the first derivative of 0*j + 4/5*j**5 - j**4 + 0*j**2 - 3 + 2/3*j**6 - 4/3*j**3. Determine s so that x(s) = 0.
-1, 0, 1
Let y(n) = n**5 + n**4 - n**3 + n**2 + 1. Let a(x) = x**5 - 44*x**4 + 114*x**3 + 6*x**2 + 6. Let w(g) = -a(g) + 6*y(g). Factor w(v).
5*v**3*(v - 2)*(v + 12)
Let z(g) be the first derivative of g**3 - 3*g**2/4 - 63*g/2 - 191. Let z(m) = 0. Calculate m.
-3, 7/2
Let s be ((-12)/8)/((-3)/(-4)). Let b be -1 + s + 66/11. Factor 3*k**3 - k**b + 0*k**3.
2*k**3
Suppose -44/7*o + 484/7 + 1/7*o**2 = 0. Calculate o.
22
Let f(n) be the first derivative of n**3/12 + 5*n**2/8 + n + 801. Determine b so that f(b) = 0.
-4, -1
Let f(t) be the third derivative of t**6/1980 - t**5/220 + t**4/66 + 3*t**3/2 + 13*t**2. Let l(b) be the first derivative of f(b). Determine x so that l(x) = 0.
1, 2
Let w = -267 + 6409/24. Let m(o) be the third derivative of 1/96*o**4 - 1/480*o**6 + 0 - 2*o**2 + 1/240*o**5 + 0*o - w*o**3. Factor m(l).
-(l - 1)**2*(l + 1)/4
Let r = -11565/4 + 2892. Factor 0 + 1/2*z - r*z**2 + 1/4*z**3.
z*(z - 2)*(z - 1)/4
Suppose m + 12 = 3*w + 32, -4*w = -5*m + 45. Let c be w - -6 - (-2 - -1) - -4. Solve -9*q**2 - c*q - 4/3 - 9/2*q**3 = 0 for q.
-2/3
Let i(k) be the second derivative of 0 + 1/3*k**5 - 17*k - 2/45*k**6 - k**4 + 14/9*k**3 - 4/3*k**2. Solve i(g) = 0 for g.
1, 2
Let b = 7741/46410 - 1/7735. Suppose -p - 3*v = 13, 2*p - 7*p + 15 = -v. Determine z, given that -1/2*z**p + 1/2*z**4 - b*z + 0 + 5/6*z**3 - 2/3*z**5 = 0.
-1, -1/4, 0, 1
Let 48 - 4/5*r**2 + 44/5*r = 0. Calculate r.
-4, 15
Factor -240*n**2 + 17*n**3 - 15*n**3 - 400*n - 2*n**3 - 36*n**3.
-4*n*(3*n + 10)**2
Let n = 8 + -6. Suppose -2*a + 5*h = -7*a + 25, 0 = n*h - 4. What is d in -4*d + 2*d + 3*d + 4*d**3 + 5*d**a + 6*d**2 = 0?
-1/3, 0
Let l(i) be the third derivative of -i**6/540 - 17*i**5/135 + 207*i**2. Factor l(y).
-2*y**2*(y + 34)/9
Let u = -2565/17 + 151. Suppose 2*q - 7*q + 8 = 4*g, -4 = 4*q - 2*g. Suppose u*b**2 + q*b + 0 = 0. Calculate b.
0
Let y(u) be the third derivative of u**7/2205 - u**6/180 - u**5/630 + u**4/36 - 2*u**2 + 143*u. Factor y(f).
2*f*(f - 7)*(f - 1)*(f + 1)/21
Let o(d) be the second derivative of -d**4/3 + 26*d**3/3 + 28*d**2 + 26*d. Factor o(t).
-4*(t - 14)*(t + 1)
Factor 29*l - 40 - 49167*l**2 + 33*l + 49185*l**2.
2*(l + 4)*(9*l - 5)
Suppose 5*x = 0, -a + 2*x + 22 = 6*x + 17. Factor 0*r**3 + 2/3*r**2 - 1/3*r + 0 + 1/3*r**a - 2/3*r**4.
r*(r - 1)**3*(r + 1)/3
Let z = 20 - 15. Determine y so that -5*y + 7*y**z - 10*y**3 + 3*y - 2*y**5 + 7*y = 0.
-1, 0, 1
Let k(x) be the first derivative of 2/15*x**5 + 0*x - 8/9*x**3 - 9 + 8/3*x**2 - 1/3*x**4. Determine y, given that k(y) = 0.
-2, 0, 2
Let u(t) be the second derivative of -t**4/60 - 8*t**3/5 - 288*t**2/5 - 9*t + 1. Determine y, given that u(y) = 0.
-24
Let h be 204/14 - (2 - -3). Let v = -9 + h. Find l, given that v*l**2 + 0 + 16/7*l**4 + 2*l**3 + 0*l + 6/7*l**5 = 0.
-1, -2/3, 0
Suppose 0 = 26*m - 23 - 29. Factor 1/4*t + 5/4*t**m + 3/4*t**3 - 1/4.
(t + 1)**2*(3*t - 1)/4
Let k = 95/7 + -183/14. Let s(r) be the second derivative of k*r**4 + 0*r**2 + 5*r - 1/10*r**5 - 2/3*r**3 + 0. Let s(l) = 0. What is l?
0, 1, 2
Let y(v) = 29*v**3 + v**2 + v - 1. Let q be y(1). Let t be 5280/105 + 1/7*-2. Determine z, given that -18*z - 7 + 3 + t*z**3 - q*z**2 + 2 = 0.
-1/5, 1
Let l(a) be the first derivative of 2*a**6/3 + 52*a**5/5 + 23*a**4 + 44*a**3/3 - 247. Let l(o) = 0. What is o?
-11, -1, 0
Let o = -10 + 12. Suppose 5*l - p = 11, 6*l + o*p - 6 = 2*l. Solve 24*y - 2*y**l - 24*y = 0.
0
Let g(y) = y. Let i(v) = -108*v**2 - 9*v + 3. Let k(z) = z**2 + z + 1. Let r(x) = i(x) + 3*k(x). Let s(q) = -3*g(q) + r(q). Find d such that s(d) = 0.
-2/7, 1/5
Let v(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**3 + 4*x + 0 + 3/80*x**5. Determine g, given that v(g) = 0.
0
Let l(o) be the first derivative of o**3/3 - 84*o**2 + 7056*o + 127. Determine z so that l(z) = 0.
84
Factor -36/7*w + 0 + 4/7*w**4 - 36/7*w**2 + 4/7*w**3.
4*w*(w - 3)*(w + 1)*(w + 3)/7
Suppose -127 + 217 = 5*r. Let u be (r/585)/(4/80). Factor 6/13*a**2 - 2/13*a**4 - 8/13 + 4/13*a**3 - u*a.
-2*(a - 2)**2*(a + 1)**2/13
Let v(t) be the first derivative of -8/7*t + 5/28*t**4 - 2/7*t**2 + 1/35*t**5 + 2/7*t**3 + 24. Factor v(a).
(a - 1)*(a + 2)**3/7
Find w such that 2/5*w**3 + 6/5*w**2 - 24/5 - 8/5*w = 0.
-3, -2, 2
Let z(j) be the second derivative of -2/27*j**4 + 0 + 8/27*j**3 - 1/15*j**5 + 1/27*j**6 - 1/189*j**7 + 10*j + 0*j**2. Solve z(w) = 0 for w.
-1, 0, 2
Let w be ((-20)/90)/((-4)/12). Let c(k) be the second derivative of -1/9*k**3 + w*k**2 + 1/10*k**5 - 2/9*k**4 - 3*k + 0. Find f, given that c(f) = 0.
-2/3, 1
Suppose s - 3*q + 2*q = -3, 0 = -5*s - 3*q + 9. Let w(c) be the third derivative of -1/270*c**5 + 0 + s*c**3 + 0*c - 2*c**2 + 1/54*c**4. Factor w(z).
-2*z*(z - 2)/9
Let g(v) = -v**3 + 6*v**2 + 2*v - 8. Let m be g(6). Factor -k**2 + 2*k**4 + 3*k**2 - 4*k**4 + 0*k**m.
-2*k**2*(k - 1)*(k + 1)
Let l(k) be the first derivative of 2*k**2 - 6 + 8/3*k - 1/3*k**4 + 0*k**3. Solve l(w) = 0 for w.
-1, 2
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