*l**5 - l + 36*l**3 + 156*l**4 - 20*l**2 - 136*l**4 = 0?
-1, -2/7, 0, 1
Let p = 17 + -17. Factor -1/4*m**2 + 0*m + p - 1/4*m**3.
-m**2*(m + 1)/4
Let c = -116/35 + 26/7. Let d = 4 - 2. Factor 2/5*r**3 + c - 2/5*r**d - 2/5*r.
2*(r - 1)**2*(r + 1)/5
Suppose 0 = k + 3*i - 7, -i + 1 = -0*i. Solve -h**3 + 6*h - 3*h**k - 1 + 11*h**3 - 7*h**2 - 5*h**2 = 0.
1/3, 1
Let p(i) = 2*i**4 - 11*i**3 + 11*i + 3. Let f(k) = -9*k**4 + 54*k**3 - 54*k - 15. Let w(l) = 5*f(l) + 24*p(l). Find d, given that w(d) = 0.
-1, 1
Let k(w) be the first derivative of -w**4/6 - w**3 - 2*w**2 + 3*w + 2. Let o(h) be the first derivative of k(h). Factor o(l).
-2*(l + 1)*(l + 2)
Let f(j) be the third derivative of -j**8/112 + 3*j**7/70 - j**6/20 - 7*j**2. Factor f(n).
-3*n**3*(n - 2)*(n - 1)
Let g(p) be the third derivative of -1/3*p**4 + 2*p**2 + 0*p + 0*p**3 + 1/15*p**5 + 0. Find d, given that g(d) = 0.
0, 2
Solve -93/5*j - 24/5 - 78/5*j**3 - 12/5*j**4 + 3/5*j**5 - 132/5*j**2 = 0 for j.
-1, 8
Let s be 35/49*(-4 + 11). Determine a, given that 14/9*a**2 - 2/3*a**4 - 8/9 - 2/9*a**3 + 0*a + 2/9*a**s = 0.
-1, 1, 2
Suppose -5*b + 17 = 2. Determine m so that 0*m**b + 2*m**3 - 8*m**2 + 8*m**2 - 2*m = 0.
-1, 0, 1
Determine x, given that -3/8 + 0*x + 3/8*x**2 = 0.
-1, 1
Let g(j) = j - 9. Let p be g(9). Suppose p = 3*f + 4 - 16. Find q, given that -2*q**f - 3/4*q**2 + 7/2*q**3 - q + 1/4 = 0.
-1/2, 1/4, 1
Suppose -5*b - i + 15 = -1, 5*b - 13 = 2*i. Let h be 0 - (22/(-6) + b). Factor h*k**4 + 2/3 + 2/3*k**5 - 4/3*k**3 - 4/3*k**2 + 2/3*k.
2*(k - 1)**2*(k + 1)**3/3
Let h(x) = -x**2 + 8*x + 3. Let p be h(8). Let r(q) be the first derivative of -4/15*q**5 + 0*q + 0*q**p + 0*q**2 - 1/6*q**4 - 2 - 1/9*q**6. Factor r(f).
-2*f**3*(f + 1)**2/3
Let i(h) be the first derivative of -h**4/30 - 2*h**3/15 + 11*h + 3. Let u(p) be the first derivative of i(p). Factor u(m).
-2*m*(m + 2)/5
Determine k, given that 0 + 4/5*k - 2/5*k**2 = 0.
0, 2
Suppose -33 = 10*m - 33. Factor 1/3*c**2 - 1/3*c + m.
c*(c - 1)/3
Let t be (-8)/(-1)*(-14 - 1275/(-90)). Factor 16/3*k**2 + 0 - t*k**3 - 16/3*k.
-4*k*(k - 2)**2/3
Let h be 5 + (2 - 2) - 1. Suppose i + 16 = 4*k, -2*k + 1 + 7 = h*i. Factor -z**3 - 4*z**2 + 6*z**2 + 0*z**4 + z**5 - 2*z**k.
z**2*(z - 2)*(z - 1)*(z + 1)
Let q(k) be the third derivative of k**7/126 + 5*k**6/72 + 5*k**5/36 - 25*k**4/72 - 5*k**3/3 + k**2 - 2*k. Determine a, given that q(a) = 0.
-3, -2, -1, 1
Factor 8/7*u + 0 - 4/7*u**3 - 4/7*u**2.
-4*u*(u - 1)*(u + 2)/7
Suppose 7*t = 3*t + 4. Factor -3*p**2 + 5 + 8*p - 6*p**3 - 7*p**3 - t + 4*p**3.
-(p - 1)*(3*p + 2)**2
Let n(h) = -4*h**3 - 17*h**2 - 4*h. Let o(d) = d**3 + 4*d**2 + d. Let j(l) = 2*n(l) + 9*o(l). Let j(z) = 0. Calculate z.
-1, 0
Let t(a) = -a**2 + 2*a + 2. Let q(u) = -7*u - 3. Let m be q(-6). Let x(k) = 7*k**2 - 11*k - 11. Let g(z) = m*t(z) + 6*x(z). Determine f, given that g(f) = 0.
-2
Let p(c) be the third derivative of c**7/1785 - c**5/170 + c**4/102 - 30*c**2. Suppose p(i) = 0. Calculate i.
-2, 0, 1
Let s(r) be the second derivative of r**9/52920 - r**7/8820 + r**4/3 + r. Let i(t) be the third derivative of s(t). Factor i(z).
2*z**2*(z - 1)*(z + 1)/7
Determine z so that 9/8 + 1/8*z**2 - 3/4*z = 0.
3
Let y(z) = 2*z - 3. Let r be y(4). Suppose -4*t**r + t**5 + t**4 - 4*t**4 = 0. Calculate t.
-1, 0
Suppose n + k - 6*k - 29 = 0, 5*k = 15. Let g be 1 - (-12)/n*-3. Let -4/11*s - g*s**2 - 2/11 = 0. What is s?
-1
Let r(g) be the third derivative of 7*g**2 + 0*g + 0*g**3 + 0 - 1/6*g**5 - 1/30*g**6 + 1/21*g**7 + 1/6*g**4. Factor r(m).
2*m*(m - 1)*(m + 1)*(5*m - 2)
Let h(q) be the third derivative of -q**7/840 + q**6/240 - q**5/240 + 27*q**2. Factor h(y).
-y**2*(y - 1)**2/4
Let m(w) be the first derivative of w**4/2 + 2*w**3 - 4*w**2 + 23. Let m(d) = 0. Calculate d.
-4, 0, 1
Solve 25*v**2 - 2*v - 51*v**2 + 33*v**2 = 0.
0, 2/7
Let t(r) = r + 2. Let l be t(0). Factor 2*o**l + 0*o**2 + o**4 - 3*o**4.
-2*o**2*(o - 1)*(o + 1)
Let c = 0 + 2. Suppose -30 = 116*i - 126*i. Factor 6/7*f**c - 6/7*f + 2/7 - 2/7*f**i.
-2*(f - 1)**3/7
Let j be ((-752)/(-6))/1 + 3. Let r = -93 + j. Find u such that -16*u**4 - 106/3*u**2 + r*u**3 + 16*u - 8/3 + 8/3*u**5 = 0.
1/2, 1, 2
Let q(l) be the second derivative of -l**5/5 - l**4 - 2*l**3 - 2*l**2 - 9*l. Factor q(n).
-4*(n + 1)**3
Let d(o) = -5*o - o**3 - 3*o + 9*o**2 + o**3 - o**3. Let k be d(8). Determine j so that 0 + 2/3*j**4 - 2/3*j**2 + k*j**3 + 0*j = 0.
-1, 0, 1
Suppose -2*o - 12 + 4 = 0. Let c = -4 - o. Factor -3 + r**2 + 4 - 2*r + c*r**2.
(r - 1)**2
Let i(r) be the first derivative of r**4/2 - 10*r**3/3 + 4*r**2 - 42. Factor i(o).
2*o*(o - 4)*(o - 1)
Let s = -5 + 5. Let l be (-8)/(-4) + s/(-3). Factor 3/4*w**l + 0 + 1/4*w**4 - 1/4*w - 3/4*w**3.
w*(w - 1)**3/4
Let t be (-8)/28 + 48/21. Find d such that 2 + 2 + d**2 - 2*d**3 + 9*d**2 - 10*d - 2*d**t = 0.
1, 2
Let u be (-1 - (-34)/6)*30/35. Factor -1/2 - g + g**3 + 1/2*g**u + 0*g**2.
(g - 1)*(g + 1)**3/2
Suppose -2*x + 9*x = 21. Let o(l) be the first derivative of -1/6*l + 1/6*l**2 - 1/18*l**x + 1. Factor o(g).
-(g - 1)**2/6
Let k(o) be the first derivative of 9/14*o**2 + 8 + 2/7*o**3 + 3/7*o - 1/14*o**6 - 9/35*o**5 - 3/14*o**4. Solve k(j) = 0 for j.
-1, 1
Suppose 0*i + 9 = 3*i. Let w = 5 - i. Suppose k**2 + 4*k**2 - 7*k**w - 2 - 4*k = 0. What is k?
-1
Solve 2/5*z - 2/5*z**4 - 2/5*z**3 - 4/5 + 6/5*z**2 = 0.
-2, -1, 1
Let u(y) be the first derivative of 4*y**5/5 + y**4 - 4*y**3/3 - 2*y**2 + 31. Factor u(z).
4*z*(z - 1)*(z + 1)**2
Let x(g) be the third derivative of -g**8/224 + g**7/140 + g**6/80 - g**5/40 - 26*g**2. Suppose x(i) = 0. What is i?
-1, 0, 1
Let u(q) be the second derivative of 343*q**5/8 - 735*q**4/8 + 315*q**3/4 - 135*q**2/4 + q. Let u(z) = 0. Calculate z.
3/7
Let s(j) be the second derivative of 2*j**7/49 + j**6/14 + 3*j**5/140 - 11*j. Find x such that s(x) = 0.
-1, -1/4, 0
Factor 1/2 + 1/2*h**2 - h.
(h - 1)**2/2
Let t = 3 + -4. Let f = 4 + t. Suppose -f*q**2 - q + 6*q - 4*q = 0. Calculate q.
0, 1/3
Determine z, given that -3/4*z + 3/4*z**3 + 0 + 3/4*z**2 - 3/4*z**4 = 0.
-1, 0, 1
Let z(t) = -14*t**2 - 12*t + 2. Suppose 5*a + 0*a + 12 = 3*p, 2*p - 7 = 3*a. Let y = a + 5. Let j(k) = k**2 + k. Let c(r) = y*z(r) + 10*j(r). Factor c(q).
-2*(q + 1)*(9*q - 2)
Let k(n) be the third derivative of n**7/10080 + n**6/2880 - n**4/6 + 4*n**2. Let y(f) be the second derivative of k(f). Solve y(l) = 0.
-1, 0
Suppose 0 = -2*l - 1 + 9. Let y(g) be the first derivative of 1/2*g**l - 2*g**2 - 4/3*g**3 - 1 + g**5 + 1/3*g**6 - g. Factor y(p).
(p - 1)*(p + 1)**3*(2*p + 1)
Let t = -89 + 37. Let k = 158/3 + t. Factor -4/3*i + 0 + k*i**2.
2*i*(i - 2)/3
Let n be ((-2)/(-18))/((-5)/(-20)). Let h be (2 + -3)/((-18)/4). Find m, given that h*m**4 + 0 + n*m**3 + 0*m + 0*m**2 = 0.
-2, 0
Suppose 23*d = 9*d + 56. Let k = -11 + 17. What is h in 12*h**3 + 2*h**2 + 2*h**3 - 2*h**2 - k*h**d - 8*h = 0?
-2/3, 0, 1, 2
Let o(y) be the second derivative of y**5/30 - y**4/6 + y**3/3 - 3*y**2/2 - y. Let w(q) be the first derivative of o(q). Factor w(b).
2*(b - 1)**2
Suppose 3*p - 10 = 5*b - p, 2*b - 3*p = -11. Solve 4*u + 2*u**b + u**3 + u - 3*u - u = 0.
-1, 0
Let c(h) be the second derivative of 4*h**6/15 + 3*h**5/10 - h**4/6 - 2*h. Factor c(u).
2*u**2*(u + 1)*(4*u - 1)
What is v in -2*v**3 + 2*v**2 - 22 + 22 = 0?
0, 1
Let o(y) be the second derivative of -7*y**5/180 + 5*y**4/18 - 4*y**3/27 - 29*y. Factor o(j).
-j*(j - 4)*(7*j - 2)/9
Determine n so that -14*n**2 - 18*n**2 + 12*n - 8 + 28*n**2 = 0.
1, 2
Suppose -2*p + 4*c - 6 = 0, 15 = -6*p + p + 3*c. Let f = -3 - p. Factor f*w**2 + 0*w**3 + 2/5*w**4 + 0*w - 2/5*w**5 + 0.
-2*w**4*(w - 1)/5
Factor -3 - 10*k - 2*k**3 - 3*k**2 + 11*k**2 + 7.
-2*(k - 2)*(k - 1)**2
Let f(n) be the third derivative of n**6/120 - n**5/100 - n**4/10 - 2*n**3/15 - 3*n**2. Let f(i) = 0. Calculate i.
-1, -2/5, 2
Let w = -1 - -3. Factor 4*x**2 + 3 - 2*x + 0*x**w - 4 - 5*x**2.
-(x + 1)**2
Let d(a) be the second derivative of -7*a + 1/40*a**5 + 1/12*a**4 + 0*a**2 - 1/28*a**7 - 1/15*a**6 + 0*a**3 + 0. Let d(o) = 0. Calculate o.
-1, 0, 2/3
Factor -5/8*z - 1/8*z**3 - 1/4 - 1/2*z**2.
-(z + 1)**2*(z + 2)/8
Let j(p) = -5*p**2 - 20*p - 17. Let o(l) = -10*l**2 - 40*l - 35. Let s(m) = -5*j(m) + 3*o(m). Let s(r) = 0. What is r?
-2
Suppose 0 = 8*k - 4*k - 24. Let b(a) be the third derivative 