 be w(-6). Suppose -3*m + 9 = t, -b - b - 2 = -2*m. Factor -4*q + 4 - 2*q + q**b + 2*q.
(q - 2)**2
Let s(p) be the second derivative of -2*p**3 - 9*p**2 - 2*p + 0 - 1/6*p**4. Find h, given that s(h) = 0.
-3
Let w(q) = -q**2 - 1. Let x be ((-3)/5)/(2/(-10)). Let i = x + -2. Let m(j) = j**3 - 7*j**2 + j - 5. Let c(o) = i*m(o) - 5*w(o). Factor c(k).
k*(k - 1)**2
Let l(t) be the second derivative of t**4/16 + t**3/8 - 23*t. Suppose l(u) = 0. Calculate u.
-1, 0
Let q = -325/2 - -166. Let t(i) be the first derivative of 4/3*i**3 - i**2 + 8/5*i**5 + q*i**4 + 0*i - 3. Determine n, given that t(n) = 0.
-1, 0, 1/4
Let j(f) = 5*f**4 - f**3 - 4*f**2 + 4. Let s(t) = -9*t**4 + t**3 + 7*t**2 - 7. Let k(w) = -7*j(w) - 4*s(w). Factor k(v).
v**3*(v + 3)
Suppose 13 + 4 = a - 3*n, -n = 4. Let s(m) be the third derivative of 1/30*m**a + 0 - 1/15*m**6 + 0*m**4 + 0*m + 0*m**3 + 2*m**2. Suppose s(p) = 0. What is p?
0, 1/4
Let p be (-4 - (2 - -55)) + 4. Let c be -4*(p/54 - -1). Solve -2/3*y - c*y**2 - 4/9 = 0 for y.
-2, -1
Let w(x) = -1. Let n(z) = -4*z**3 + 8*z**2 + 4*z - 16. Let c(p) = -n(p) + 8*w(p). Let c(v) = 0. Calculate v.
-1, 1, 2
Determine i so that i - i**3 + 3/2 - 2*i**2 + 1/2*i**4 = 0.
-1, 1, 3
What is s in 0*s + 2/13*s**3 - 6/13*s**2 + 8/13 = 0?
-1, 2
Suppose 4*l = 5*j + 15, 4*l - 2*j = -l + 23. Suppose -9 - 11 = -l*i. Find h such that -h**3 - 18*h**2 + 2*h**i + 18*h**2 = 0.
0, 1/2
Suppose 0 = -q + 2*t + 4, 3*t = 3*q - 6 - 6. Determine c, given that 14/5*c**3 + 14/5*c**2 + 4/5*c + 0 + 4/5*c**q = 0.
-2, -1, -1/2, 0
Suppose 6*w - 15 - 3 = 0. Suppose -5*f + 2*m = -m - 1, -4*f + w*m - 1 = 0. Factor 4/7*j + 2/7*j**f + 0.
2*j*(j + 2)/7
Let v(o) be the first derivative of o**8/840 - o**7/140 + o**6/90 + 7*o**3/3 - 7. Let u(b) be the third derivative of v(b). What is p in u(p) = 0?
0, 1, 2
Let v be ((6/4)/(-3))/(-1). Solve 0*p**3 + 1/2 - p**2 + 0*p + v*p**4 = 0.
-1, 1
Let v = 319 - 315. Solve -1/2 + 0*x**2 + x - x**3 + 1/2*x**v = 0 for x.
-1, 1
Suppose -17*h = -0*h + h. Factor 0 + h*s - 1/4*s**2.
-s**2/4
Let a(r) be the third derivative of r**11/498960 + r**10/226800 + r**5/20 + 4*r**2. Let f(k) be the third derivative of a(k). Let f(t) = 0. Calculate t.
-1, 0
Let p = 3263/7 - 465. Let f = -445 - -3123/7. Find x, given that 12/7*x**3 - p*x**4 + 2/7*x + 0 + 2/7*x**5 - f*x**2 = 0.
0, 1
Let p = -95 - -98. Let -j**p - 1/2 - 3/4*j**2 + 9/4*j = 0. What is j?
-2, 1/4, 1
Let u be (66/(-20))/(6/(-5)). Let d = 3 - u. Factor -1/4*y**4 + y - d - 3/2*y**2 + y**3.
-(y - 1)**4/4
Factor 2/7*g + 0*g**3 + 8/7*g**4 - 6/7*g**2 + 0.
2*g*(g + 1)*(2*g - 1)**2/7
Let b(o) be the first derivative of -2*o**3/9 - o**2/3 + 4. Find g, given that b(g) = 0.
-1, 0
Let j = -76 - -76. Factor 2/9 + j*y + 0*y**3 + 2/9*y**4 - 4/9*y**2.
2*(y - 1)**2*(y + 1)**2/9
Factor 0*s + 0*s**2 + 0 + 2/5*s**3.
2*s**3/5
Factor -1/4*j**4 + 1/2*j**3 + 0*j**2 + 0 + 0*j.
-j**3*(j - 2)/4
Let f(b) be the third derivative of -2*b**2 - 1/360*b**5 - 1/36*b**4 + 0 + 0*b - 1/9*b**3. Factor f(i).
-(i + 2)**2/6
Let g(o) be the third derivative of -o**7/420 + o**6/180 + o**5/60 - o**4/12 - o**3/2 + o**2. Let w(m) be the first derivative of g(m). Factor w(h).
-2*(h - 1)**2*(h + 1)
Let z = 8 - 6. Let o(y) = -2*y**2 - 8*y - 6. Let j(n) = -1. Let u(r) = z*j(r) + o(r). Let u(c) = 0. Calculate c.
-2
Factor -17/5*d**4 - 12/5*d**2 + 8/5*d - 3/5*d**5 + 0 - 6*d**3.
-d*(d + 2)**3*(3*d - 1)/5
Let w(r) be the second derivative of -5*r**4/4 - 10*r**3/3 - 5*r**2/2 - 2*r. Factor w(y).
-5*(y + 1)*(3*y + 1)
Let g(q) be the first derivative of -q**2 - 5/3*q**3 + 1/5*q**5 + 0*q + 5 + 1/6*q**6 - 3/4*q**4. Factor g(d).
d*(d - 2)*(d + 1)**3
Let j(n) be the first derivative of n**6/90 + n**5/30 + n**4/36 - 5*n - 2. Let t(y) be the first derivative of j(y). What is b in t(b) = 0?
-1, 0
Let p(i) = -i**4 + i. Let c(h) = 2*h**5 - 5*h**4 - 2*h**3 + 2*h**2 + 3*h. Let x(g) = c(g) - 3*p(g). Factor x(n).
2*n**2*(n - 1)**2*(n + 1)
Let f(a) = -a**3 - 7*a**2 + 18*a + 3. Let p be f(-9). Factor 2/5*b - 8/5*b**p + 0 + 6/5*b**2.
-2*b*(b - 1)*(4*b + 1)/5
Let y = 4 - 4. Let m = -14 + 19. Factor 6/5*b**4 + y*b**3 + 2/5*b**m + 0*b - 8/5*b**2 + 0.
2*b**2*(b - 1)*(b + 2)**2/5
Let q = 142 - 140. Solve 4/9*v**q - 2/9*v**3 - 2/9*v + 0 = 0.
0, 1
Let i = 20 - 18. Let 4*n**3 - n**3 + 4 - 3*n**i - 4*n**3 = 0. What is n?
-2, 1
Factor 2/5*l - 1/2*l**2 + 0 + 1/10*l**3.
l*(l - 4)*(l - 1)/10
Factor 0*g**2 + 0*g**3 + 0 + 0*g + 2/5*g**4.
2*g**4/5
Let d(w) be the second derivative of -4/9*w**4 + 11/18*w**3 - 1/3*w**2 - 2*w + 0 + 7/60*w**5. Suppose d(k) = 0. What is k?
2/7, 1
Let g = -282 - -282. Find t such that g + 2/9*t**5 - 8/9*t**2 + 2/9*t - 8/9*t**4 + 4/3*t**3 = 0.
0, 1
Let f be 26/12 + 3/(-2). Let h(a) be the first derivative of 3 + 7/18*a**4 + 0*a + 2/9*a**2 + f*a**3. Suppose h(d) = 0. Calculate d.
-1, -2/7, 0
Suppose 5*k = 38 + 22. Let q = -6 + k. Factor -7*a - 16*a**3 + 18*a**2 + q*a**4 - 4*a**2 + 3*a.
2*a*(a - 1)**2*(3*a - 2)
Let r(b) be the first derivative of 4/3*b**2 + 4/15*b**5 + 0*b**3 - 2/3*b**4 - 4/3*b + 7. Solve r(k) = 0.
-1, 1
Let i(x) be the first derivative of 0*x + x**2 + 1/24*x**4 - 1/120*x**5 - 1/12*x**3 + 2. Let d(u) be the second derivative of i(u). Find n, given that d(n) = 0.
1
Let p = 13 + -13. Let k(a) be the second derivative of 0 - a + 1/18*a**3 + p*a**4 + 0*a**2 - 1/60*a**5. Find x such that k(x) = 0.
-1, 0, 1
Factor 2*l - 4*l + 2*l**2 + 4*l.
2*l*(l + 1)
What is n in -6 - 3/2*n + 3/4*n**2 = 0?
-2, 4
Let u(o) be the second derivative of o**6/15 + 3*o**5/10 + o**4/3 - 5*o. Find a, given that u(a) = 0.
-2, -1, 0
Let w = -1627/3 - -543. Suppose -2/3 + 4/3*s - w*s**2 = 0. Calculate s.
1
Let x(l) = l**2 - 3*l. Let g(r) = r**3 - 2*r**2 - 2*r. Let s be g(3). Let a be x(s). Find v, given that 0*v + 1/3*v**2 - 1/3*v**4 + a + 0*v**3 = 0.
-1, 0, 1
Let n(d) be the third derivative of 4*d**2 + 0*d + 5/156*d**4 + 2/39*d**3 + 1/130*d**5 + 0. Suppose n(t) = 0. What is t?
-1, -2/3
Let j(n) = 2*n - 8. Let g be j(5). Solve -1/4*r**g + 0 - 1/2*r = 0.
-2, 0
Let c(k) be the third derivative of 0*k - 1/20*k**5 + 7/72*k**4 + 1/9*k**3 + 2*k**2 + 0. Factor c(l).
-(l - 1)*(9*l + 2)/3
Let z(m) = m**2 - 3*m + 6. Let i be z(6). Let g = -47/2 + i. Determine y so that -g*y**2 + 1/2*y**5 - 3/2*y**4 + 3/2*y**3 + 0*y + 0 = 0.
0, 1
Factor 12*n - 6*n**2 + 8 + 6*n**2 + 4*n**2.
4*(n + 1)*(n + 2)
Let k be 6 + (3 - (1 + 3)). Let h(r) = -7*r**3 + 7*r**2 + 5*r. Let i(m) = 8*m**3 - 8*m**2 - 6*m. Let w(a) = k*i(a) + 6*h(a). Find x, given that w(x) = 0.
0, 1
Let u = 37/260 + 3/52. Factor -7/5*o**2 - 2/5*o - o**4 + 0 - u*o**5 - 9/5*o**3.
-o*(o + 1)**3*(o + 2)/5
Factor 2*m**3 - 1/2 - 1/2*m**4 - 3*m**2 + 2*m.
-(m - 1)**4/2
Let p(d) be the second derivative of d - 1/6*d**3 + 0 - d**2 + 1/12*d**4. What is l in p(l) = 0?
-1, 2
Let d(m) = 7*m**5 + 2*m**4 - 3*m**3 - 2*m - 2. Let q(f) = -8*f**5 - 3*f**4 + 2*f**3 + 3*f + 3. Let n(l) = 3*d(l) + 2*q(l). Factor n(i).
5*i**3*(i - 1)*(i + 1)
Let r(p) = -p**2 - 10*p + 3. Let d be r(-10). Factor -9*x**2 + 9*x - 6 + 3 + d*x**3 + 0*x.
3*(x - 1)**3
Solve 34*t - 15 - 19*t + 5 - 5*t**2 = 0.
1, 2
Let g(x) = -3*x**2 - x - 2. Let p = 8 + -4. Suppose 2*h - p = -0*h. Let l(y) = 16*y**2 + 6*y + 11. Let r(c) = h*l(c) + 11*g(c). Factor r(o).
-o*(o - 1)
Let s = -5 - -7. Let h(d) = 3*d**2 + 4*d**2 - 7 + 8*d + d**s - 7*d. Let w(b) = b**2 - 1. Let z(a) = -3*h(a) + 21*w(a). Factor z(c).
-3*c*(c + 1)
Factor -7/5*v**5 + 26/5*v**4 + 0*v + 0 - 4*v**3 - 8/5*v**2.
-v**2*(v - 2)**2*(7*v + 2)/5
Suppose 2*h - 1 - 3 = 0. Suppose -3*r - h = -2*y, 5*y - 10 = -2*r + 7*r. Factor 0*l + 0 + 1/3*l**r.
l**2/3
Let d(u) be the second derivative of -u**7/8820 - u**6/2520 + u**4/12 + 5*u. Let n(l) be the third derivative of d(l). Suppose n(t) = 0. Calculate t.
-1, 0
Let q be 1/(-2) + -14 + 22. Let 15/2*v**2 + 3*v - 3*v**3 + 0 - q*v**4 = 0. Calculate v.
-1, -2/5, 0, 1
Let w(b) be the second derivative of b**6/6 - b**5/4 - 5*b**4/3 + 10*b**3/3 - 7*b. Let w(o) = 0. What is o?
-2, 0, 1, 2
Let o(q) be the first derivative of 1/12*q**4 + 1/2*q**2 + 0*q + 1/60*q**5 + 1/6*q**3 - 1. Let z(p) be the second derivative of o(p). Find c such that z(c) = 0.
-1
Let d(o) be the third derivative of -o**7/70 + o**6/10 - 3*o**5/10 + o**4/2 - o**3/2 - 13*o**2. Find h, given that d(h) = 0.
1
Suppose -5*g + 5*f = -5, 0 = g + 