*2 + 23*y + 63. Let g be n(-3). Factor 0 + 1/2*p**2 - 3/2*p**g + 3/2*p - 1/2*p**4.
-p*(p - 1)*(p + 1)*(p + 3)/2
Suppose 2*d + 8 - 11 = g, -3*d - g = 3. Let 0*p - 2/5*p**4 - 4/5*p**3 - 2/5*p**2 + d = 0. Calculate p.
-1, 0
Let c(b) = -3*b**4 + b**3 + 2*b - 2. Suppose -2*h + 0*h = 12. Let v(f) = -f**4 + f**3 + f - 1. Let z(a) = h*v(a) + 3*c(a). Determine p so that z(p) = 0.
-1, 0
Let r(l) = -l**5 + l**4 - l**3 + l**2 - l. Let v(o) = 6*o**5 - 3*o**4 + 6*o**3 - 5*o**2 + 5*o. Let i(h) = -5*r(h) - v(h). Suppose i(f) = 0. Calculate f.
-1, 0
Let j = 5 - 2. Factor -z + z - 18*z**3 - 6*z**j + 8*z**2 + 18*z**4.
2*z**2*(3*z - 2)**2
Factor 4*n**3 - 35*n**5 + 37*n**5 - 8*n**4 + 4*n**3.
2*n**3*(n - 2)**2
Let j(q) = 3*q**4 - 7*q**3 + 7*q**2 - 9*q + 2. Let y(a) = -13*a**4 + 29*a**3 - 27*a**2 + 37*a - 8. Let d(z) = -9*j(z) - 2*y(z). Solve d(c) = 0.
1, 2
Factor -4*u + 54*u**3 + 7*u - 7*u - 6*u**2.
2*u*(3*u - 1)*(9*u + 2)
Factor 1/3*c - 2/3 + c**2.
(c + 1)*(3*c - 2)/3
Let t = -100459/545 - 531/109. Let a = t - -190. Let -2/5*r**5 + 8/5*r**2 - 8/5*r + 6/5*r**3 - a*r**4 + 0 = 0. What is r?
-2, 0, 1
Let l(d) = -48*d**2 + 84. Let j(c) = 7*c**2 - 12. Let f(h) = -27*j(h) - 4*l(h). Solve f(t) = 0 for t.
-2, 2
Let l(m) be the third derivative of 0*m**3 - 1/70*m**7 - 1/224*m**8 + 0*m + 0 - 4*m**2 + 1/20*m**5 + 0*m**6 + 1/16*m**4. Factor l(a).
-3*a*(a - 1)*(a + 1)**3/2
Suppose -5*v = -1 + 6. Let a(s) = -3*s**3 - s**2 + 2*s + 2. Let w be a(v). Find i, given that 1/4 - 1/4*i**w + 0*i = 0.
-1, 1
Let k(i) be the third derivative of -1/180*i**5 + 0*i + 0*i**3 + 0 + 1/360*i**6 - i**2 + 0*i**4. Suppose k(g) = 0. What is g?
0, 1
Let g = 14 + -38/3. Let s(n) be the first derivative of 1/2*n**4 - 4 + g*n**3 + 0*n - 4/5*n**5 - n**2. Suppose s(h) = 0. Calculate h.
-1, 0, 1/2, 1
Let k(m) be the third derivative of m**5/20 + 5*m**4/2 + 50*m**3 - 20*m**2. Determine a, given that k(a) = 0.
-10
Suppose 5*o = d + 18, -5 - 5 = 3*d - 4*o. Suppose 1/2*z**3 + 0 - 1/2*z**4 - 1/2*z + 1/2*z**d = 0. Calculate z.
-1, 0, 1
Let x(t) be the first derivative of 2*t**5/25 - 3*t**4/10 + 2*t**3/5 - t**2/5 + 5. Solve x(p) = 0 for p.
0, 1
Let c = -873/5 - -18373/105. Let n = 5/7 - c. Determine p, given that -n + 1/3*p**3 - 1/3*p + 1/3*p**2 = 0.
-1, 1
Let r(s) be the first derivative of -4*s**5/5 + 2*s**4 + 4*s**3 - 8*s**2 - 16*s - 2. Factor r(i).
-4*(i - 2)**2*(i + 1)**2
Suppose -7*b + 175 = -2*b. Let g be 13/5 + 14/b. Suppose 3*i**4 + 6*i + i**2 + g*i**2 - 13*i**2 = 0. What is i?
-2, 0, 1
Let c(q) be the first derivative of -2*q**2 - 11 - 2/3*q**3 + 6*q. Find w, given that c(w) = 0.
-3, 1
Let c(m) be the third derivative of 0 - 1/24*m**4 + 1/6*m**3 + 1/120*m**6 + 0*m + 3*m**2 - 1/60*m**5. Suppose c(d) = 0. What is d?
-1, 1
Let i(y) = -y**2 + 13*y - 12. Let z be i(12). Suppose 3/2*q**4 + 1/2*q**5 + 0 + 0*q**2 + q**3 + z*q = 0. What is q?
-2, -1, 0
Let z(r) be the second derivative of -4/5*r**6 + 0*r**4 + 9/10*r**5 + 0 - 4*r + 3/14*r**7 - 1/2*r**3 + 0*r**2. Factor z(n).
3*n*(n - 1)**3*(3*n + 1)
Factor 12*p**5 + 2*p**2 + 2*p**2 - 26*p**5 - 22*p**3 + 32*p**4.
-2*p**2*(p - 1)**2*(7*p - 2)
Let s(j) be the first derivative of j**4/22 + 8*j**3/33 + 4*j**2/11 + 35. Find y, given that s(y) = 0.
-2, 0
Factor 9*n + 40 + 3*n - 4*n**2 + 11*n - 11*n.
-4*(n - 5)*(n + 2)
Suppose 4 + 0 = 4*y - i, 3*i = -5*y - 12. Let o be (-1*10)/(y + -2). Find u such that -2*u**o + 0 - 4/9*u**2 + 0*u + 32/9*u**4 - 10/9*u**3 = 0.
-2/9, 0, 1
Let s(k) be the third derivative of 6*k**7/35 - k**6/5 - 8*k**5/15 + k**4 - 2*k**3/3 + 36*k**2. Let s(g) = 0. Calculate g.
-1, 1/3, 1
Let c be (-1)/2 + (-54)/(-12). Let k be 0*(c + -1 + -2). Factor 2/7*l**3 - 6/7*l**2 + k*l + 8/7.
2*(l - 2)**2*(l + 1)/7
Suppose -6*q + 32 - 8 = 0. Let v(f) be the second derivative of 0*f**3 - 4*f + 1/20*f**q + 0*f**2 + 0. Factor v(c).
3*c**2/5
Determine y so that -3*y + 0 - 7/3*y**3 - 5*y**2 - 1/3*y**4 = 0.
-3, -1, 0
Let m(o) be the second derivative of o**5/20 - 7*o**3/6 + 3*o**2 + 7*o. Let m(w) = 0. What is w?
-3, 1, 2
Let c(l) be the first derivative of 0*l + 0*l**2 + 7 + 2/21*l**3. Let c(y) = 0. Calculate y.
0
Let g = 3 - -4. Let j(s) be the third derivative of 0*s**3 + 1/420*s**g + 1/240*s**6 + 0*s + 0 - 3*s**2 + 0*s**5 + 0*s**4. Suppose j(r) = 0. Calculate r.
-1, 0
Let y(l) = -l**3 - 7*l**2 + 11*l + 12. Let u be y(-8). Let m be ((32/u)/(-4))/2. Factor -2/3*r**2 + 1/3*r + 0 + m*r**3.
r*(r - 1)**2/3
Let c(j) = -j. Let l be (-2)/10 + (-147)/(-35). Let n(a) = -a**2 - 8*a - 4. Let s(m) = l*c(m) - n(m). Find z, given that s(z) = 0.
-2
Let j(k) = k**2 + 2*k - 4. Let x be j(3). Let f(t) = t - 11. Let i be f(x). Factor i + 1/2*w**3 - 1/2*w**2 + 1/2*w**4 - 1/2*w.
w*(w - 1)*(w + 1)**2/2
Let d(m) be the second derivative of 0*m**2 + 1/12*m**4 - 4*m + 0 - 1/9*m**3 - 1/60*m**5. Let d(t) = 0. Calculate t.
0, 1, 2
Suppose 0 = -2*u - 3 + 33. Let w be 3 - 5/(u/6). Factor -1 + w - n**4.
-n**4
Let u(t) = -t**3 - 5*t**2 - 2*t - 7. Let s be u(-5). Let r = s + 1. Factor 7/2*o**r - o + 11/2*o**2 + 0 - 8*o**3.
o*(o - 1)**2*(7*o - 2)/2
Let y(w) be the first derivative of w**4/6 - w**3/3 - 2*w**2 - 4*w - 3. Let p(r) be the first derivative of y(r). Factor p(b).
2*(b - 2)*(b + 1)
Factor 3/2*z + 0 + 3/4*z**2.
3*z*(z + 2)/4
Let b = -7 - 17. Let w = b + 26. Solve 0*d - 1/2*d**w - d**3 - 1/2*d**4 + 0 = 0.
-1, 0
Let z(u) be the first derivative of -2*u**5/5 + 2*u**3 + 2*u**2 - 1. Solve z(t) = 0.
-1, 0, 2
Suppose -5*o = -2*r - 15, -o + 3*r + 3 = 2*r. Determine y so that o*y - 3/4*y**2 - 3 = 0.
2
Let u(h) be the third derivative of -109/180*h**6 - 7/72*h**8 + 0*h + 0 + 2/5*h**7 + 2/5*h**5 - 1/9*h**4 + 0*h**3 - h**2. Determine p, given that u(p) = 0.
0, 2/7, 1
Let x(z) be the third derivative of -z**8/1176 + z**7/735 + z**6/210 - 9*z**2 - 3*z. Factor x(m).
-2*m**3*(m - 2)*(m + 1)/7
Factor 12/5*q - 4/5*q**2 - 8/5.
-4*(q - 2)*(q - 1)/5
Let v(h) = 3*h**4 - 2*h**3 - 4*h**2 + 4*h - 4. Let n(i) = i**4 - i**2 + i - 1. Let m(q) = -4*n(q) + v(q). Find c such that m(c) = 0.
-2, 0
Let b(g) be the first derivative of -1/2*g**2 + 1/120*g**6 + 1/8*g**4 - 1/20*g**5 + 0*g + 1 - 1/6*g**3. Let v(q) be the second derivative of b(q). Factor v(j).
(j - 1)**3
Let w(v) be the third derivative of v**2 + 1/84*v**4 + 0*v + 0*v**3 + 1/420*v**6 + 0 + 1/105*v**5. Factor w(x).
2*x*(x + 1)**2/7
Let b(s) be the third derivative of s**8/560 + s**7/175 + s**6/200 + 11*s**2. Factor b(p).
3*p**3*(p + 1)**2/5
Let v(o) = -3*o**4 - 8*o**3 + 8*o**2 - 2*o. Let u(d) be the third derivative of -d**6/120 + d**5/60 - d**4/24 + 3*d**2. Let m(c) = -5*u(c) + v(c). Factor m(g).
-3*g*(g - 1)*(g + 1)**2
Let o(m) be the second derivative of m**7/840 - m**5/120 + 2*m**3/3 - 2*m. Let y(b) be the second derivative of o(b). Determine x so that y(x) = 0.
-1, 0, 1
Let g(j) be the third derivative of j**6/30 - 2*j**4/3 - j**2 - j. Factor g(l).
4*l*(l - 2)*(l + 2)
Factor 1/3 + 1/3*j**2 - 2/3*j.
(j - 1)**2/3
Let a(m) be the second derivative of 0 - 2/5*m**5 + 1/21*m**7 + m + m**3 + 1/3*m**4 + 0*m**6 - 2*m**2. Suppose a(w) = 0. Calculate w.
-2, -1, 1
Factor 0 - f**3 - 1/2*f**4 + 1/2*f**2 + f.
-f*(f - 1)*(f + 1)*(f + 2)/2
Let n(d) be the first derivative of -d**4/20 - d**3/15 + d**2/10 + d/5 - 2. What is m in n(m) = 0?
-1, 1
Let g be (-8)/12*78/(-4). Let i = 15 - g. Suppose -6/7*v**5 + 0*v + 0 + 0*v**i + 2/7*v**4 + 4/7*v**3 = 0. What is v?
-2/3, 0, 1
Let c(m) be the third derivative of -1/1008*m**8 - 1/18*m**5 - 5/72*m**4 - 1/18*m**3 - 1/36*m**6 - m**2 - 1/126*m**7 + 0*m + 0. Solve c(g) = 0 for g.
-1
Let j(c) = 4*c**3 - c**2 - 3*c + 3. Let t be j(2). Let m be 1 + 0 - t/(-15). Factor -10/3*x**4 - 2/3*x**5 + 0 + 0*x - m*x**2 - 16/3*x**3.
-2*x**2*(x + 1)*(x + 2)**2/3
Let y(s) be the first derivative of 1/14*s**4 + 3 + 4/21*s**3 + 0*s + 1/7*s**2. Factor y(c).
2*c*(c + 1)**2/7
Let o(k) be the third derivative of 1/96*k**4 + 2*k**2 + 1/840*k**7 - 1/480*k**6 + 0 + 0*k**3 - 1/240*k**5 + 0*k. Find m, given that o(m) = 0.
-1, 0, 1
Suppose 8 = 8*t - 6*t. Suppose 15/4*p**3 + 13/4*p**t + 0 + p**5 + 1/4*p + 7/4*p**2 = 0. Calculate p.
-1, -1/4, 0
Let s(w) be the second derivative of w**4/72 - w**3/18 - 5*w. Factor s(h).
h*(h - 2)/6
Let z(w) be the second derivative of w**6/75 + 3*w**5/50 + w**4/30 - w**3/5 - 2*w**2/5 + 15*w. Find a such that z(a) = 0.
-2, -1, 1
Let u = -10 -