4*q**7 - 32*q**2 - 90*q**3 + 15/4*q**5 + 0 + 45/4*q**4 + 0*q + 17/48*q**6. Suppose a(r) = 0. Calculate r.
-6, 1
Let 0 + 2/7*h**3 - 2/7*h**2 - 12/7*h = 0. What is h?
-2, 0, 3
Let n = 1389 + -1386. Factor -v + 1/2*v**n + 0 + 1/2*v**2.
v*(v - 1)*(v + 2)/2
Let a(w) = -7*w**4 + 40*w**3 - 125*w**2 + 155*w - 60. Let q(b) = 6*b**4 - 40*b**3 + 126*b**2 - 154*b + 60. Let z(o) = -2*a(o) - 3*q(o). Factor z(n).
-4*(n - 5)*(n - 3)*(n - 1)**2
Let r(o) be the third derivative of 0 - 1/240*o**4 - 1/600*o**5 + 1/30*o**3 + 8*o**2 + 0*o. Solve r(h) = 0 for h.
-2, 1
Let q(d) be the first derivative of 1/4*d**2 + 5/24*d**4 - 1/30*d**5 - 1 + 0*d - 7/18*d**3. Factor q(k).
-k*(k - 3)*(k - 1)**2/6
Let t(z) be the first derivative of 1/40*z**4 + 1/600*z**6 + 0*z + 7 + 1/100*z**5 + 0*z**2 - 2*z**3. Let r(p) be the third derivative of t(p). Factor r(f).
3*(f + 1)**2/5
Let x(q) be the first derivative of 0*q**2 - 6/19*q**4 - 16/57*q**3 - 12/95*q**5 + 0*q - 25 - 1/57*q**6. Factor x(v).
-2*v**2*(v + 2)**3/19
Let c(u) be the third derivative of 0*u**4 + 0*u**3 + 0*u**6 + 1/75*u**5 - 2/525*u**7 + 0 + 0*u + 13*u**2. Let c(b) = 0. Calculate b.
-1, 0, 1
Let t(m) be the second derivative of m**4/36 - m**3/18 - m**2/3 + 2*m - 58. Determine n so that t(n) = 0.
-1, 2
Suppose 2*k + 2*u = -0*u + 2, -3*k - 5*u - 3 = 0. Suppose -a = k*a - a. Factor 2/13*q**4 + 2/13*q - 2/13*q**2 - 2/13*q**3 + a.
2*q*(q - 1)**2*(q + 1)/13
Let d = 133 - 144. Let r(v) = -2*v**2 - 22*v + 2. Let a be r(d). Factor 0 + 2*j**3 - 2/3*j**5 + 10/3*j**a - 2/3*j**4 + 4/3*j.
-2*j*(j - 2)*(j + 1)**3/3
Let o(l) be the second derivative of l**4/6 + 13*l**3/3 - 14*l**2 - 109*l. Let o(p) = 0. What is p?
-14, 1
Suppose 0 = 2*t - 21 - 17. Let o = t + -14. Factor -2*p**4 + 8*p**o - 14*p + 8*p**4 + 14*p - 2*p**3.
2*p**3*(p + 1)*(4*p - 1)
Let a = 660 - 658. Let d(g) be the first derivative of -4/5*g + 2/15*g**3 - 8 + 1/5*g**a. Find w such that d(w) = 0.
-2, 1
Let x(v) = 4*v**2 - 22*v - 18. Let d be x(10). Let t = d - 806/5. Solve -t*g - 8/5 + 4/5*g**2 = 0.
-1, 2
Let g(a) be the second derivative of a**4/6 + 8*a**3/3 + 7*a**2 + 6*a + 7. Suppose g(m) = 0. What is m?
-7, -1
Let t(n) = -13*n**4 - 63*n**3 - 17*n**2 - 5. Let b(i) = 6*i**4 + 32*i**3 + 9*i**2 + 3. Let g(w) = 5*b(w) + 3*t(w). Factor g(f).
-f**2*(f + 3)*(9*f + 2)
Let t = -2/509 - -1060/10689. Factor -2/21*n**3 + 8/21*n - 8/21 + t*n**2.
-2*(n - 2)*(n - 1)*(n + 2)/21
Factor -2/5*s**2 + 2*s - 12/5.
-2*(s - 3)*(s - 2)/5
Let b(g) = 5 - 3*g - 5 - 13. Let l be b(-5). Factor 2/5*n**3 - 2/5*n - 4/5 + 4/5*n**l.
2*(n - 1)*(n + 1)*(n + 2)/5
Let r(t) = -6*t + 4*t - 7 + t**2 - 6*t**3 + 5*t + 5*t**4 + 4. Let y(v) = v**4 - v**2 + v - 1. Let m(d) = 2*r(d) - 6*y(d). Suppose m(s) = 0. Calculate s.
0, 1, 2
Let z(q) be the third derivative of -q**7/525 - q**6/75 - 17*q**2 + 5*q. Factor z(t).
-2*t**3*(t + 4)/5
Let p = -9856 + 9859. Determine v, given that -63*v**4 + 3/2*v - 99/2*v**2 + 9/2 - 12*v**5 - 195/2*v**p = 0.
-3, -1, -1/2, 1/4
Suppose 0 = 19*u - 8*u - 385. Suppose -23 = 4*t - u. Let 325/3*l**2 + 310/3*l**t + 20/3 + 35*l**4 + 140/3*l = 0. What is l?
-1, -2/3, -2/7
Let l(x) be the third derivative of 1/420*x**7 + 0*x**4 - 1/40*x**6 - 3*x**2 + 0*x**3 + 0 - 1/30*x**5 + 0*x + 1/448*x**8. Let l(t) = 0. Calculate t.
-2, -2/3, 0, 2
Solve 9198*g**4 - 124*g**2 + 260*g**3 + 13*g - 11*g**5 - 34*g**5 + 3*g - 9305*g**4 = 0 for g.
-4, 0, 2/9, 2/5, 1
Let d(m) be the first derivative of m**4/18 + 22*m**3/9 + 10*m**2/3 - 128*m/9 + 287. Find n, given that d(n) = 0.
-32, -2, 1
Suppose 6*u - 14*u = 0. Let r(v) be the third derivative of -1/60*v**5 + 0*v + 1/210*v**7 + 0*v**3 + 0*v**4 + 2*v**2 + 0*v**6 + u. Factor r(y).
y**2*(y - 1)*(y + 1)
Let r(k) be the first derivative of 4*k**5/5 - 28*k**4 + 1048*k**3/3 - 1848*k**2 + 4356*k + 88. Find z such that r(z) = 0.
3, 11
Let m(h) = h**3 - 9*h**2 + 3. Let s be m(9). Determine n, given that -7*n**4 - 4 + 6*n**s + 2*n**2 + 12*n**4 - 3*n**4 - 6*n = 0.
-2, -1, 1
Let a(m) be the third derivative of m**6/1140 - 2*m**5/57 - 7*m**4/76 + 22*m**2 - 1. Factor a(i).
2*i*(i - 21)*(i + 1)/19
Let k(w) = -3*w**2 + 1 + w**2 + 1 - w**3 - 3*w**2 - 4*w. Let z be k(-4). Determine p so that -2 + 2*p - 2*p + p**z + p**2 = 0.
-1, 1
Let h be 31 - ((-6972)/(-140) - 20). Let k be 2*1/6*9. Factor -3/5*g**3 - k*g - h - 12/5*g**2.
-3*(g + 1)**2*(g + 2)/5
Let k(y) be the first derivative of y**6/27 + 2*y**5/45 - y**4/6 - 10*y**3/27 - 2*y**2/9 + 164. Suppose k(r) = 0. What is r?
-1, 0, 2
Let s(o) = o**3 - 32*o**2 + 62*o - 58. Let i be s(30). Let w be (0 + -4)/(-2) - i. Factor w*z + 2/5*z**3 + 0 + 4/5*z**2.
2*z**2*(z + 2)/5
Suppose -6*p = -30 + 50 - 26. Factor 1/6*c**2 + p - 5/6*c.
(c - 3)*(c - 2)/6
Suppose 0 = -8*s + 3*s + 15. Let n = 76 + -73. Factor 6 - 3 + n*y**s + 1 - 3*y**2 - 1 - 3*y.
3*(y - 1)**2*(y + 1)
Suppose h + 3 - 8 = j, 4*h - 25 = -j. Let t(y) be the third derivative of -1/90*y**5 - 4/9*y**3 + 0 + 0*y + 1/9*y**4 + h*y**2. Find s, given that t(s) = 0.
2
Let q be 2/7 - 33/(-7). Let z(w) = w**3 - 4*w + 3. Let o be z(2). Let -5*j**2 + 3*j**4 - 2 + 4 - 11*j**o + 6*j**3 + q*j = 0. Calculate j.
-1, -1/3, 1, 2
Let o(f) be the third derivative of -f**8/2016 + 4*f**7/315 - 5*f**6/36 + 38*f**5/45 - 28*f**4/9 + 64*f**3/9 - f**2 - 5. Factor o(g).
-(g - 4)**3*(g - 2)**2/6
Let v = 781/13 - 3801/65. Solve 4/5*h**2 - v*h - 12/5 = 0 for h.
-1, 3
Solve 13*c**3 - 12*c + 12*c**2 - 27*c**3 + 7*c**3 + 4*c**3 = 0 for c.
0, 2
Suppose 269*s - 268*s = 2*a - 1, 2 = -2*s. Factor -4/13*m**2 + 6/13*m - 2/13*m**3 + a.
-2*m*(m - 1)*(m + 3)/13
Suppose p - 1 = -3*w, 2*w - 5*p - 14 = -3*p. Suppose -w*u - 5 = f, -11 = 3*f + 6*u - u. Determine t, given that 4*t + 6*t**f - t - 4*t**3 - 5*t**3 = 0.
-1, 0, 1
Let d(s) be the first derivative of -1/21*s**3 - 2/7*s**2 - 3 - 12*s + 1/70*s**5 + 1/21*s**4. Let v(i) be the first derivative of d(i). Factor v(w).
2*(w - 1)*(w + 1)*(w + 2)/7
Let s = -5780/7 - -826. Factor 0*p - s*p**3 - 4/7*p**2 + 0.
-2*p**2*(p + 2)/7
Suppose -4*z + 77*k - 78*k = -7, -4*z - 4*k + 4 = 0. Factor -50/3 - 2/3*s**z - 20/3*s.
-2*(s + 5)**2/3
Let r(o) be the third derivative of o**6/900 - o**5/150 - o**4/20 - 7*o**3/2 - 26*o**2. Let a(c) be the first derivative of r(c). Suppose a(k) = 0. Calculate k.
-1, 3
Let s = -24 + 23. Let g be (5 - (1 + s)) + -4. Factor -2*d**3 - 18*d**4 - 2*d**2 + 19*d**4 + g + 2*d**3.
(d - 1)**2*(d + 1)**2
Suppose 37 - 133 = u. Let n be u/(-28) + (-3)/7. Suppose -8*g**5 + 10*g**n - 14*g**3 + 2*g**2 + 14*g**4 - 4*g**2 = 0. Calculate g.
-1/4, 0, 1
Suppose 5*y - 16 = 4*z, -z + 0*y - y = 4. Let i = -13/4 - z. Determine q so that 0 + i*q**2 - 3/4*q = 0.
0, 1
Let a(w) = w**3 + w**2 + 2*w + 2. Let o(p) = 6*p**3 + 26*p**2 - 112*p + 68. Let y(k) = -2*a(k) - o(k). Factor y(j).
-4*(j - 1)*(j + 6)*(2*j - 3)
Let k = 83 - 75. Suppose -7*z + k*z + 10*z = 0. Suppose 2/9*u**3 - 2/9*u**4 + 0*u + z*u**2 + 0 = 0. Calculate u.
0, 1
Let b = 1237 + -1237. Let z(t) be the third derivative of 0*t**4 + 0 - 9*t**2 + 0*t**6 + 0*t + b*t**5 + 1/420*t**7 + 0*t**3. Factor z(q).
q**4/2
Let t be 7/(-1) + 15*(-12)/(-20). Factor 2/5*l - 2/5*l**t + 4/5.
-2*(l - 2)*(l + 1)/5
Let d(m) be the second derivative of -m**5/5 - 3*m**4 - 46*m**3/3 - 30*m**2 + 351*m. Determine t so that d(t) = 0.
-5, -3, -1
Let k(b) be the first derivative of b**6/36 - 5*b**4/24 + 5*b**3/18 + b + 46. Let w(c) be the first derivative of k(c). Suppose w(z) = 0. Calculate z.
-2, 0, 1
Suppose 2*c + 2*c - 5*v - 29 = 0, 5*v + 28 = 3*c. Suppose -g + 5 = 0, 3*n = -3*g + 5*g - c. Factor 3 + 2*w**3 - n*w**2 - 5*w**3 + 2*w + 6*w - 5*w.
-3*(w - 1)*(w + 1)**2
Let a(f) = f**3 + f**2 - 10*f + 5. Let b be a(-4). Let i be (-116)/(-16) + b - (-4)/(-1). Let -1/4*c**3 + 0 - i*c**4 + 0*c**2 + 0*c = 0. Calculate c.
-1, 0
Let p be 1/66*(30 - 28). Let b(r) be the first derivative of 1/22*r**4 + 4/55*r**5 + 0*r**2 + 0*r + p*r**6 - 1 + 0*r**3. Determine t, given that b(t) = 0.
-1, 0
What is u in 308/3*u**3 + 401/3*u**4 - 304/3*u - 4/3*u**5 - 502/3*u**2 + 101/3 = 0?
-1, 1/4, 1, 101
Let o = -12964 + 12966. Find c, given that -64/5*c**o - 2*c**3 - 114/5*c - 36/5 = 0.
-3, -2/5
Factor 0*z + 3/2*z**4 - 2*z**2 + 0*z**3 + 1/2*z**5 + 0.
z**2*(z - 1)*(z + 2)**2/2
What is y in -2/9*y**5 + 2/9*y**4 + 2/9 + 4/9*y**3 - 2/9*y - 4/9*y**2 = 0?
-1, 1
Let l(b) be the first derivat