 = -4*k**2 + 17*k - 8. Let l(w) = w. Let y(p) = -5*l(p) + z(p). Find a, given that y(a) = 0.
1, 2
Suppose -q + 8 = -2*y, 5*q - 16 = 3*y - y. Suppose 0 = q*k + k - 9. Factor 0*p + 0*p**2 + 0 + 2/3*p**k.
2*p**3/3
Let s(p) be the second derivative of 1/3*p**3 + 0 - 1/5*p**5 + 1/21*p**7 + 0*p**6 + 0*p**2 + p + 0*p**4. Solve s(h) = 0 for h.
-1, 0, 1
Let j be 26/65 + (2 - 2/5). Let v(r) be the first derivative of 0*r + 2/27*r**3 + 1/9*r**2 - j. Find z, given that v(z) = 0.
-1, 0
Let c = -19 + 22. Let g(h) be the first derivative of 2/3*h**c + 0*h**2 - 3 - 3/2*h**4 + 0*h. Determine f so that g(f) = 0.
0, 1/3
Factor 2*r**5 - r**5 + 12*r**4 + 3*r**3 + r**2 - 9*r**4.
r**2*(r + 1)**3
Let h(d) = -d**2 + 5*d - 4. Let c be h(3). Suppose 3 - 11 = -c*q. Factor -7*u**4 + 3*u**4 + 2*u**q.
-2*u**4
Let d(l) be the second derivative of 0*l**2 + 0 + 2*l + 1/48*l**4 - 1/24*l**3. Find q, given that d(q) = 0.
0, 1
Let p(q) be the third derivative of 1/735*q**7 + 3*q**2 + 1/420*q**6 + 0*q + 0 + 0*q**4 - 1/1176*q**8 - 1/210*q**5 + 0*q**3. Find r, given that p(r) = 0.
-1, 0, 1
Let y = -111 + 449/4. Let -7/4*o**2 + 1/2 + y*o = 0. Calculate o.
-2/7, 1
Suppose 0 = -0*q + 4*q - 16. Let f(v) be the second derivative of 2*v + 0 + 49/30*v**6 - 7/2*v**5 + 2*v**2 + 10/3*v**3 - 1/4*v**q. Factor f(h).
(h - 1)**2*(7*h + 2)**2
Let -8*k**2 - 3*k**3 + 3*k**2 + 2*k**2 = 0. Calculate k.
-1, 0
Let r = -18 - -21. Factor 1/3*b**r + 0*b + 0 + 1/3*b**4 + 0*b**2.
b**3*(b + 1)/3
Let m be ((-6)/(-7))/((-120)/(-112)). Solve o**2 + 1/5*o**4 + 0 - m*o**3 - 2/5*o = 0.
0, 1, 2
Solve 2/11*z**2 + 0 + 14/11*z = 0.
-7, 0
Suppose -1 = -3*m - 4, 0 = -3*b - 4*m + 11. Let t = -2 + b. Factor 12/7*d**t + 0 + 8/7*d**2 + 8/7*d**4 + 2/7*d + 2/7*d**5.
2*d*(d + 1)**4/7
Let o(j) be the first derivative of -49*j**6/6 + 28*j**5/5 - j**4 + 10. Factor o(b).
-b**3*(7*b - 2)**2
Let y(w) be the third derivative of -w**7/735 + w**6/420 + w**5/105 + w**2. Solve y(x) = 0 for x.
-1, 0, 2
Let y = 36 - 36. Let l(p) be the first derivative of 0*p - 5/27*p**6 + 14/45*p**5 + y*p**2 + 0*p**3 - 1/9*p**4 - 2. Factor l(s).
-2*s**3*(s - 1)*(5*s - 2)/9
Factor -3 - 3/4*t**4 - 9*t - 39/4*t**2 - 9/2*t**3.
-3*(t + 1)**2*(t + 2)**2/4
Let y(u) = 4*u**5 + 2*u**4 - 4*u**3 - 2*u - 2. Let w(j) = -4*j**5 - 3*j**4 + 4*j**3 + 3*j + 3. Let m(r) = 2*w(r) + 3*y(r). Find t, given that m(t) = 0.
-1, 0, 1
Suppose -14*r**3 - 14*r + 18*r - 10*r**2 + 25*r**5 - 4*r**3 + 10*r**4 - 11*r**5 = 0. Calculate r.
-1, 0, 2/7, 1
Let a(k) = -k**2 - 3*k + 20. Let x be a(-6). Let v(g) be the first derivative of -1/7*g**x + 0*g**3 + 3 + 0*g + 1/14*g**4. Let v(i) = 0. What is i?
-1, 0, 1
Suppose 5*c - 19 = -0*r - r, 3*r - 6 = 2*c. Suppose 0*h - 4 = -2*h. Factor 1/3*j**r + 0*j**h + 2/3*j**3 + 0 + 0*j.
j**3*(j + 2)/3
Solve 25*v + 5*v**2 + 4362 - 4362 = 0.
-5, 0
Suppose 7*k - 12 = 3*k. Let d(g) be the third derivative of g**2 + 1/36*g**4 + 0*g + 0*g**k - 1/180*g**6 + 1/90*g**5 - 1/315*g**7 + 0. Factor d(o).
-2*o*(o - 1)*(o + 1)**2/3
Let o(l) be the second derivative of l**7/14 - l**6/10 + 3*l. Factor o(m).
3*m**4*(m - 1)
Let g(q) = -2*q + 8. Let a be g(-7). Suppose 7*r - a = 3*r - 2*y, -4*y + 12 = 0. Solve 1/2*j**r - j**3 + 0*j + 1/2*j**2 + 0 = 0.
0, 1
Let b = 153 + -82. Let p = b + -23. Factor 98*r**3 - 31*r**2 - 2 - 6 - p*r - 11*r**2.
2*(r - 1)*(7*r + 2)**2
Let i(p) be the third derivative of -p**11/166320 + p**9/15120 - p**7/2520 + p**5/20 - 3*p**2. Let t(g) be the third derivative of i(g). Factor t(w).
-2*w*(w - 1)**2*(w + 1)**2
Let q(d) = -4*d**3 - 8*d**2 - 4*d - 3. Let o(f) = 5*f**3 + 8*f**2 + 3*f + 4. Let u(g) = -3*o(g) - 4*q(g). Factor u(z).
z*(z + 1)*(z + 7)
Let b(y) be the second derivative of 1/24*y**4 + 0*y**3 - 3/40*y**5 + 0*y**2 + 0 - y. Find k, given that b(k) = 0.
0, 1/3
Let t(q) = q + 6. Let n be t(-3). Factor 0*o**3 - o**2 - 3*o**2 - o - 3*o**n.
-o*(o + 1)*(3*o + 1)
Let q(b) = -10*b**3 + 7*b**2 + 5*b. Let h(f) = 50*f**3 - 36*f**2 - 25*f. Let x(n) = -2*h(n) - 11*q(n). Factor x(s).
5*s*(s - 1)*(2*s + 1)
Let n = 31 - 31. Factor -k - 1/2*k**4 + n*k**2 + k**3 + 1/2.
-(k - 1)**3*(k + 1)/2
Let r = -9 + 11. Let 5*t - 3*t**2 - 3*t - 1 + 2*t**r = 0. What is t?
1
Let v(j) be the third derivative of j**8/1008 + 2*j**7/315 + j**6/360 - j**5/30 + 2*j**2 + 3. What is z in v(z) = 0?
-3, -2, 0, 1
Suppose h = 4*h - 24. Let x be (-6)/24*h/(-6). Solve -2/3*z - x*z**3 + 0 - z**2 = 0.
-2, -1, 0
Let o(s) be the first derivative of -5*s**4/12 + s**3/2 + s**2 + 3*s + 2. Let l(m) be the first derivative of o(m). Find w such that l(w) = 0.
-2/5, 1
What is z in -1/4*z**5 + 0*z**3 + 1/4*z + 1/2*z**4 - 1/2*z**2 + 0 = 0?
-1, 0, 1
Let i(f) = 5*f - 6. Let l be i(4). Let k(m) = m - 14. Let t be k(l). Factor t*r**2 - 4/5*r**3 + 0 - 2/5*r**4 + 0*r.
-2*r**3*(r + 2)/5
Let v = -383/5 + 77. Factor 6/5*k - 6/5*k**3 + v*k**2 + 2/5*k**4 - 4/5.
2*(k - 2)*(k - 1)**2*(k + 1)/5
Let j(y) be the first derivative of 0*y**2 + 1/6*y**3 - 5 - 1/2*y. Find o, given that j(o) = 0.
-1, 1
Let x(o) be the second derivative of o**6/210 + o**5/70 + o**4/84 + 3*o. Factor x(l).
l**2*(l + 1)**2/7
Let m(w) = 7*w - 33. Let s be m(5). Find x, given that 32/5 + 16/5*x + 2/5*x**s = 0.
-4
Let w(p) = p - 1. Let c be w(3). Let d = 290/9 - 286/9. Determine i, given that -d*i + 0 + 2/9*i**c = 0.
0, 2
Let k = 920 + -917. Solve 4/5*a**k + 0 + 2/5*a**2 + 0*a + 2/5*a**4 = 0.
-1, 0
Let j = -14 - -16. Factor -5*o**4 + j*o**4 + 2*o**2 + 3*o**4 - 2*o**4.
-2*o**2*(o - 1)*(o + 1)
Suppose 0 = -0*q + 2*q. Determine i, given that 8 + 4*i**2 + q*i**2 + 12*i + 0*i**2 + 0*i**2 = 0.
-2, -1
Let l = 1/98 + 95/294. Let 0 + l*q**2 + 1/3*q = 0. What is q?
-1, 0
Suppose -5*m - 4*z = 89, -5*z = -0*m - 2*m - 62. Let x = -229/11 - m. Factor 8/11*t + 8/11 + x*t**2.
2*(t + 2)**2/11
Let k(x) be the first derivative of x**5/40 - x**3/12 + x - 1. Let n(w) be the first derivative of k(w). Determine q, given that n(q) = 0.
-1, 0, 1
Determine k, given that -6/5*k**2 + 0*k**4 + 3/5*k**5 - 12/5*k**3 + 9/5*k + 6/5 = 0.
-1, 1, 2
Let f(p) = 2*p. Let u be f(1). Solve 6 - 4*t**u + 2 + 2*t**2 = 0 for t.
-2, 2
Factor -8/7*c + 16/7 - 4/7*c**2 + 2/7*c**3.
2*(c - 2)**2*(c + 2)/7
Let t(k) be the first derivative of -k**4/6 + 10*k**3/9 - 8*k**2/3 + 8*k/3 - 49. What is s in t(s) = 0?
1, 2
Let a(y) be the second derivative of 3*y**5/20 + y**4 + 5*y**3/2 + 3*y**2 - 15*y. Suppose a(r) = 0. What is r?
-2, -1
Find l, given that 20/9 + 2/9*l**2 - 14/9*l = 0.
2, 5
Let j = 26 - 10. Solve 3*k**3 + j*k**4 - 2*k**5 - 8*k**5 + 5*k**3 + 0*k**5 = 0 for k.
-2/5, 0, 2
Factor 0*u + 2*u - 4*u**3 + 2*u**3.
-2*u*(u - 1)*(u + 1)
Let r be 1 + (-1)/1 - -4. Factor -6*f**2 + r*f**3 - 7*f + 5*f + 4*f.
2*f*(f - 1)*(2*f - 1)
Suppose -4*k = 12, 4*q + 2*k - 15 = 7*k. Let m(c) be the first derivative of 3 + 2*c**2 - 2/3*c**3 + q*c. Factor m(s).
-2*s*(s - 2)
Let u(f) be the second derivative of 3*f**5/20 - 5*f**4/4 + 3*f**3 - 26*f. Let u(y) = 0. Calculate y.
0, 2, 3
Factor -2/3 + 2/3*c**5 + 2/3*c + 4/3*c**2 - 4/3*c**3 - 2/3*c**4.
2*(c - 1)**3*(c + 1)**2/3
Let g(t) be the first derivative of -1/6*t**3 - 9/8*t**4 + 0*t**2 + 3 - 4/3*t**6 - 12/5*t**5 + 0*t. Factor g(a).
-a**2*(a + 1)*(4*a + 1)**2/2
Let a(r) = 8*r**4 + 18*r**3 + 32*r**2 + 24*r + 8. Let v(u) = -7*u**4 - 17*u**3 - 31*u**2 - 24*u - 8. Let q(t) = -5*a(t) - 6*v(t). Suppose q(p) = 0. What is p?
-2, -1
Factor 8/5*w**4 + 0*w**2 + 0*w + 0 + 8/5*w**3 + 2/5*w**5.
2*w**3*(w + 2)**2/5
Let u(q) be the second derivative of -1/6*q**3 + 1/240*q**5 + 0 + 1/1440*q**6 + 0*q**2 + q + 0*q**4. Let c(s) be the second derivative of u(s). Solve c(y) = 0.
-2, 0
Suppose 0*j + 4/9*j**2 + 0 - 4/9*j**3 = 0. Calculate j.
0, 1
Suppose 3*w = 2*q - 0*q + 3, 5*w - 5 = -4*q. Factor q + 2/17*v**2 + 0*v.
2*v**2/17
Let n(x) be the third derivative of x**8/168 + x**7/105 - x**6/15 - 2*x**5/15 - 5*x**2. Factor n(i).
2*i**2*(i - 2)*(i + 1)*(i + 2)
Suppose -36 = -0*u - 2*u. Suppose -2*g - 2*d + 19 - 7 = 0, -4*g - d + u = 0. Factor -3*y + y**3 + 2*y**2 + 8*y - g*y.
y*(y + 1)**2
Let p = 335 - 667/2. Solve -3/2*u**3 + 0 + 0*u - p*u**4 - 1/2*u**5 - 1/2*u**2 = 0.
-1, 0
Let u be (-2)/6 - 98/60. Let z = u - -33/10. Factor 1/3*j**3 + 0 - 4/3*j**2 + z*j.
j*(j - 2)**2/3
Let w(f) = f**2 - 10*f - 9. Let n be w(11). Let k**n - 2 - 3*k**2 + k**2 + 3*k**2 = 0. What is k?
-1, 1
Let s(g) be the first deri