**3*(c - 1)/5
Suppose -9 = -4*p + 3. Find d such that -d**2 + 0*d**p - d**3 - d**4 + 3*d**3 = 0.
0, 1
Suppose -16/3*p - 1/3*p**2 - 64/3 = 0. Calculate p.
-8
Solve 0*z + 2/13*z**5 - 4/13*z**2 - 6/13*z**3 + 0 + 0*z**4 = 0 for z.
-1, 0, 2
Let -2*o**3 + 0*o + 0 - 2/3*o**4 - 4/3*o**2 = 0. Calculate o.
-2, -1, 0
Factor -1/3*m**2 + 1/12*m + 0.
-m*(4*m - 1)/12
Let p(f) be the second derivative of -2*f**2 + 1/6*f**4 + f + 0 - 1/3*f**3. Factor p(m).
2*(m - 2)*(m + 1)
Find l, given that 0*l - 2/3 + 1/2*l**2 + 1/6*l**3 = 0.
-2, 1
Let q be 0/(-2) + 2 + 0. Suppose 2 + q + y**3 - y**3 - 6*y**3 - 4*y**2 + 6*y = 0. Calculate y.
-1, -2/3, 1
Let n(o) be the first derivative of -o**6/3 + 6*o**5/5 + o**4/2 - 14*o**3/3 + 8*o - 9. What is u in n(u) = 0?
-1, 1, 2
Let q(x) be the second derivative of -x**5/20 - x**4/4 + 2*x**2 - 4*x. Factor q(d).
-(d - 1)*(d + 2)**2
Suppose -4*g - p + 4 = 0, 5*g + 6*p = 8*p + 18. Factor -1/4*y**5 + 0 + 0*y + 0*y**3 + 0*y**4 + 0*y**g.
-y**5/4
Suppose -8*v = -6*v - 4. Factor 0*x + 0 - 2/3*x**v.
-2*x**2/3
Let q be 2*9 + 0/(-2). Suppose 4 = -0*l - l. Let s(o) = -13*o**2 + 7*o - 7. Let x(u) = -3*u**2 + 2*u - 2. Let f(b) = l*s(b) + q*x(b). Find i such that f(i) = 0.
2
Let t be (-1)/(-1) - (3/9)/(-1). Let w(l) be the second derivative of t*l**2 - 3*l - 13/6*l**4 + 0 - 37/15*l**5 - 7/9*l**6 + 4/9*l**3. Solve w(n) = 0 for n.
-1, -2/5, 2/7
Let n(t) be the second derivative of -1/90*t**5 + 0 + 4*t + 1/54*t**4 + 2/27*t**3 + 0*t**2. Suppose n(u) = 0. What is u?
-1, 0, 2
Suppose -n + 9 + 3 = 0. Factor 21*q**5 + 219*q**3 + 7*q**4 + 201*q**2 + 0*q**5 + n - 21*q**4 + 125*q**4 + 84*q.
3*(q + 1)**3*(q + 2)*(7*q + 2)
Let v = -4 + 7. Factor b**4 + b**3 + v*b**2 - b - 5*b**2 + b**2.
b*(b - 1)*(b + 1)**2
Factor 2*z**5 + 4*z - 6*z**3 + 2*z**4 - 3*z**4 + 2*z**4 + z**4 - 2*z**2.
2*z*(z - 1)**2*(z + 1)*(z + 2)
Let f(p) = 4*p - p - 5*p - 4*p - 4*p**2 - 2*p**3 - 2. Let j(r) = -8*r**3 - 15*r**2 - 24*r - 8. Let k(z) = 9*f(z) - 2*j(z). Let k(m) = 0. What is m?
-1
Let q = 28 + -26. Determine u, given that 2/9*u**3 + 4/9 + 0*u**q - 2/3*u = 0.
-2, 1
Let i(y) = y**3 + y**2. Let c(w) = 3*w**4 - 24*w**3 + 15*w**2 - 12*w. Let k(q) = c(q) + 9*i(q). Suppose k(s) = 0. Calculate s.
0, 1, 2
Let h(x) be the third derivative of x**7/210 - x**6/10 + 4*x**5/5 - 8*x**4/3 + 36*x**2. Factor h(n).
n*(n - 4)**3
Determine d so that 2/3*d**3 - 4/3*d**2 - d**5 + 1/3*d + 4/3*d**4 + 0 = 0.
-1, 0, 1/3, 1
Let q(d) be the third derivative of 0*d + 0*d**3 - d**2 - 1/300*d**6 + 0 - 1/840*d**8 + 0*d**5 - 2/525*d**7 + 0*d**4. Solve q(a) = 0 for a.
-1, 0
Let d be ((-232)/(-290))/(4/10). Determine z so that 4/3*z + 2/3*z**2 - d = 0.
-3, 1
Let a = 0 - -7. Suppose -a = -5*p + 3. Let 10*u**2 + 27*u**3 + u**p - 2*u - 4*u + 10*u**2 = 0. What is u?
-1, 0, 2/9
Let v(z) = 8*z + 91. Let y be v(-11). Factor 0 + 2/3*j**2 + 2/3*j**y + 0*j.
2*j**2*(j + 1)/3
Factor -67*r + 48 + 24*r**2 - 61*r - 4*r**2.
4*(r - 6)*(5*r - 2)
Let k(t) be the second derivative of 0 - 1/6*t**3 + 1/50*t**5 - 3*t + 1/5*t**2 + 1/60*t**4. What is j in k(j) = 0?
-2, 1/2, 1
Suppose 522 = -5*v - 318. Let a be (-2)/14 - 304/v. Solve -2/3 - 1/3*c**3 - a*c - 4/3*c**2 = 0 for c.
-2, -1
Find m, given that -52/7*m**2 + 48/7*m + 4/7 = 0.
-1/13, 1
Let s(h) = -2*h + 4. Suppose -2*z - 2 = -2*m, -z - 3*m - 5 = -16. Let r be s(z). Factor r + 2/9*d**4 + 0*d - 2/9*d**2 + 0*d**3.
2*d**2*(d - 1)*(d + 1)/9
Let s be -5 + 2 - (-1 + -1). Let j be (-14)/21*s/3. Determine x so that -j*x**2 + 0 + 0*x = 0.
0
Let x(t) be the third derivative of -t**9/25200 + t**8/5600 - t**4/6 + 3*t**2. Let d(p) be the second derivative of x(p). Factor d(a).
-3*a**3*(a - 2)/5
Let x be -4 + 1 - (-11 + 48/6). Let 0*p**2 + 0 + 2/7*p**4 + 2/7*p**3 + x*p = 0. Calculate p.
-1, 0
Let d(o) be the second derivative of 1/24*o**4 - 1/80*o**5 + 0*o**2 - 1/24*o**3 + 0 - 2*o. Factor d(f).
-f*(f - 1)**2/4
Let b(m) = -m**2 + 4*m + 2. Let q be b(0). Let k(d) be the first derivative of -4 - 2*d - 1/3*d**3 + 3/2*d**q. Factor k(z).
-(z - 2)*(z - 1)
Let d(g) be the third derivative of -g**5/30 + g**4/2 - 8*g**3/3 + 15*g**2. Factor d(c).
-2*(c - 4)*(c - 2)
Let z = 1/5 - -2/15. Let u = -2 + 5. Factor 2/3*y**2 - 1/3*y - 1/3*y**5 + 2/3*y**u - z - 1/3*y**4.
-(y - 1)**2*(y + 1)**3/3
Let s(d) be the first derivative of 2 + 3/5*d**5 - 3*d**2 + 3/2*d**4 - 3*d + 0*d**3. Suppose s(k) = 0. What is k?
-1, 1
Let l(w) be the third derivative of w**7/840 - w**6/160 + w**5/120 + 7*w**2. Find j such that l(j) = 0.
0, 1, 2
Let z be -3*(-5 + (-534)/(-108)). Suppose 1/6*x**3 + 0 + 1/3*x**4 + 0*x + 0*x**2 + z*x**5 = 0. Calculate x.
-1, 0
Suppose 0 - 9/8*u**2 + 0*u + 3/8*u**3 = 0. What is u?
0, 3
Let z(u) be the first derivative of 4/3*u**2 - 2/3*u + 2 - 4/3*u**3 + 2/3*u**4 - 2/15*u**5. Factor z(n).
-2*(n - 1)**4/3
Let j(f) be the third derivative of 0 + 5*f**2 + 0*f + f**3 - 1/8*f**4 - 1/20*f**5. Determine w so that j(w) = 0.
-2, 1
Let b(p) be the first derivative of -2*p - 2 + 4/3*p**3 + p**2 - 2/5*p**5 + 1/3*p**6 - p**4. Find m, given that b(m) = 0.
-1, 1
Let s be (-1 + 4)/(18/(-12)). Let k(m) = -3*m**2 + 10*m. Let h(b) = -b**2 + 3*b. Let v(i) = s*k(i) + 7*h(i). Factor v(g).
-g*(g - 1)
Let c(v) be the first derivative of -4*v**3/3 + 28*v**2 - 196*v + 3. Let c(s) = 0. What is s?
7
Let v = 9/22 + -1/110. Solve 1/5*y**2 + 0 - v*y = 0 for y.
0, 2
Suppose 0 = -z - 3*z + 2*u + 10, -4*z - 2*u = -6. Suppose z*j + 4/5 - 6/5*j**2 = 0. What is j?
-1/3, 2
Let h = -252 + 252. Solve -2/9*a**5 - 4/9*a**4 + 4/9*a**2 + 2/9*a + 0*a**3 + h = 0 for a.
-1, 0, 1
Suppose -22 = u + 5*t, -19 = -5*u + 7*u + 5*t. What is c in 2/3*c**4 + 0*c**2 - 2/3*c**u + 0 + 0*c = 0?
0, 1
Let n be 4/6*1*-3. Let l be ((-8)/180)/(n/20). Factor -l*k**2 + 2/9*k**3 + 2/9*k + 0.
2*k*(k - 1)**2/9
Let t(n) be the second derivative of -n**4/30 - 4*n**3/15 - 4*n**2/5 + 15*n. Factor t(z).
-2*(z + 2)**2/5
Let b(k) = k**2 - 10*k + 8. Let f be b(8). Let h be 2*(-5)/f*4. Find l such that l**2 + 2 + 2 - h = 0.
-1, 1
Let i(d) = 4*d + d - 14*d + 3*d**3 + 4*d**2. Let y(s) = -s**3 - s**2 + 2*s. Let l(o) = 2*i(o) + 9*y(o). Solve l(x) = 0.
-1/3, 0
Let y = -37 - -39. Let r(i) be the second derivative of 0*i**y + 0 + 2/3*i**4 + 3/5*i**5 + 1/3*i**3 - 2*i + 1/21*i**7 + 4/15*i**6. Factor r(b).
2*b*(b + 1)**4
Let r(g) be the third derivative of g**8/616 + 8*g**7/1155 + g**6/110 - g**4/132 - 8*g**2. Factor r(m).
2*m*(m + 1)**3*(3*m - 1)/11
Suppose 0 = 5*w - 18 + 8. Let p(x) be the second derivative of 1/9*x**4 + 0*x**3 - 2*x + 0*x**w - 1/30*x**5 + 0. Determine u, given that p(u) = 0.
0, 2
Let q(i) be the first derivative of i**6/1080 + i**5/360 - 2*i**3 - 2. Let n(h) be the third derivative of q(h). Factor n(c).
c*(c + 1)/3
Let j(a) = -2*a**2 - 39*a**3 + 1 + a + 38*a**3 + 3*a**2. Let o(g) = -3*g**3 + 15*g**2 + 15*g + 9. Let f(k) = -6*j(k) + o(k). Determine n so that f(n) = 0.
-1
Determine t so that -29*t + 3*t**3 + 17*t - 3*t**2 + 19 - 7 = 0.
-2, 1, 2
Suppose -2*g = -8, 2*d - 18 = -g - 2*g. Factor -3*b**d - 1/2*b**5 + 0 - 2*b**4 - 2*b**2 - 1/2*b.
-b*(b + 1)**4/2
Solve -5/2*w + 5/4*w**5 + 15/4*w**4 + 0 + 5/4*w**3 - 15/4*w**2 = 0 for w.
-2, -1, 0, 1
Let l(u) = 5*u**4 + 5 - 4*u**4 + 5*u - 4*u**3 - 10. Suppose -4 = -n + 1. Let r(h) = h**4 - 6*h**3 + 7*h - 7. Let a(m) = n*r(m) - 7*l(m). Factor a(g).
-2*g**3*(g + 1)
Let q(p) = -p**4 + p**3 - p + 1. Let g(y) = -5*y**5 - 6*y**4 - 9*y**3 + 4*y - 4. Let h(i) = g(i) + 4*q(i). Let h(n) = 0. What is n?
-1, 0
Let z(c) be the third derivative of -c**8/2184 + c**7/455 - c**6/260 + c**5/390 + 11*c**2. Determine j, given that z(j) = 0.
0, 1
Let l(q) be the first derivative of q**4/8 + 7*q**3/2 + 30*q**2 + 50*q + 9. Factor l(f).
(f + 1)*(f + 10)**2/2
Let r(s) = -13*s**2 + s + 5. Let z(o) be the first derivative of 4*o**3/3 - 2*o - 2. Let x(h) = -2*r(h) - 7*z(h). Factor x(k).
-2*(k - 1)*(k + 2)
Let b(j) = 2*j**2 - 13*j + 1. Let r(i) = 2*i**2 - 12*i + 2. Let a(p) = 4*b(p) - 5*r(p). Find z such that a(z) = 0.
1, 3
Let a(c) = -3*c**4 - 3*c**3 - 3*c**2 + 3*c. Let o(w) = w**4. Let p(b) = a(b) + 6*o(b). Factor p(l).
3*l*(l - 1)**2*(l + 1)
Let c be 26/8 + (-5)/20. Solve 0*s - 8*s + 16*s**c + 26*s**3 + 16*s**2 = 0.
-2/3, 0, 2/7
Let o(d) be the third derivative of d**6/120 - d**5/15 + d**4/24 + 2*d**3/3 - 2*d**2. Let g be o(4). What is z in 12*z + z**3 - g - 7*z**2 + 