p(b).
-3*(b - 9)**3
Let s be (-12)/30 - 12/(-5). Factor -3*i**3 + s*i**3 + 2*i - 4*i**4 - 1 + 5*i**4 - i**3.
(i - 1)**3*(i + 1)
Let i be (-1)/(-2) + (-285)/930. Let y = 302/279 - i. Solve 2/9*v**2 - 2/9 + y*v**3 - 8/9*v = 0 for v.
-1, -1/4, 1
Suppose -2*q + 1 = -n - 0*q, q = -3. Let w = 7 + n. Factor 2*s**4 - 2/3*s**5 + 0*s - 2*s**3 + w + 2/3*s**2.
-2*s**2*(s - 1)**3/3
Let v be (-2)/(-8) + (-38)/(-8). Suppose -v*i = -i - 12. Determine n so that -3*n + 2*n**i + 4 + 2*n - n**5 + 2*n**2 - 5 - n**4 = 0.
-1, 1
Let g(s) be the second derivative of -s**6/135 - s**5/18 - 4*s**4/27 - 4*s**3/27 - 3*s. Let g(a) = 0. Calculate a.
-2, -1, 0
Let y(n) be the second derivative of 0*n**2 + 0 - 1/120*n**6 - 1/24*n**3 - 3/80*n**5 - 1/16*n**4 + n. Solve y(g) = 0 for g.
-1, 0
Let a = 1037 + -1034. Find p such that 0*p + 2/9*p**4 + 2/9*p**a - 2/9*p**2 - 2/9*p**5 + 0 = 0.
-1, 0, 1
Let f(c) be the second derivative of -c**8/168 + c**7/105 + 4*c**2 + 9*c. Let g(n) be the first derivative of f(n). Factor g(j).
-2*j**4*(j - 1)
Let 8/3 + 8/3*g + 2/3*g**2 = 0. What is g?
-2
Let f be (-4)/1680*839 - -2. Let y(v) be the third derivative of f*v**6 + 3*v**2 + 0*v + 0 - 1/42*v**4 - 1/210*v**5 + 0*v**3. Determine k so that y(k) = 0.
-1, 0, 2
Determine k so that -2/3*k**4 + 4/3 - 2*k + 2*k**3 - 2/3*k**2 = 0.
-1, 1, 2
Let v(n) be the second derivative of -n**7/126 - 2*n**6/45 - n**5/60 + 5*n**4/18 + 2*n**3/9 - 4*n**2/3 + 7*n. Let v(d) = 0. Calculate d.
-2, 1
Let x(z) = 9*z - 5. Let p be x(1). Find l, given that 3/4*l**p + 0*l**3 + 0 + 0*l**2 - 3/4*l**5 + 0*l = 0.
0, 1
Let x(k) be the third derivative of k**8/2352 + k**7/210 + 11*k**6/840 + k**5/84 + 3*k**2. Determine j, given that x(j) = 0.
-5, -1, 0
Suppose -6 = -2*g + p, 2*p - 20 = -4*g + 8. Let n(r) = -6*r**5 - 3*r**3 - r**2. Let o(x) = x**5 + x**4 - x**3 + x**2. Let z(f) = g*o(f) + n(f). Factor z(t).
-t**2*(t - 2)**2*(t - 1)
Suppose 2*i + 1 = -3*t + 7, -5*i + 2 = t. Solve i - 2/3*h**4 + 0*h - 2/3*h**2 + 4/3*h**3 = 0 for h.
0, 1
Let c(p) be the third derivative of p**6/90 + p**5/15 - 2*p**3/3 - 6*p**2. Let a(o) be the first derivative of c(o). Let a(h) = 0. What is h?
-2, 0
Solve 2*n**2 - 25/2 + 5/4*n + 1/4*n**3 = 0.
-5, 2
Let y(h) be the second derivative of 3*h**2 - 7/10*h**6 + 0 + 27/20*h**5 - 9/2*h**3 + 4*h + 5/4*h**4. Suppose y(m) = 0. Calculate m.
-1, 2/7, 1
Factor 0 + 164/3*u**2 + 4235/3*u**4 + 5324/3*u**5 + 8/3*u + 418*u**3.
u*(4*u + 1)*(11*u + 2)**3/3
Let d = 32 + -29. Let r(x) be the first derivative of -2/5*x + 2 + 2/15*x**d + 0*x**2. Factor r(v).
2*(v - 1)*(v + 1)/5
Suppose 2*k + 8 = 4*k. Suppose k*l = 1 + 3. Factor -g**2 + 2*g + l + 0*g**2 + 2*g**2.
(g + 1)**2
Let z(u) = 2*u**2 - 2*u - 1. Let l be z(2). Suppose 2*t = 5*j + 18, 2*t - 3*j = -j + 24. Solve t*w**2 + 2 + 6*w + 4*w + 6*w**3 - w**l + w**3 = 0 for w.
-1, -1/3
Let f(n) be the first derivative of -2/9*n**4 - 3 + 2/9*n**3 + 1/9*n**2 + 0*n. Factor f(d).
-2*d*(d - 1)*(4*d + 1)/9
Factor 7/2*x**2 + 0 + 3/2*x**3 + x.
x*(x + 2)*(3*x + 1)/2
Let p(y) be the third derivative of 0 + 8*y**2 - 3/2*y**3 + 1/20*y**5 + 0*y + 1/4*y**4. What is z in p(z) = 0?
-3, 1
Let s(t) = -3*t + 1. Let h be s(-1). Factor 0*b**4 - 4*b**3 - b**4 - 2*b**3 + 4*b**h + 6*b - 3.
3*(b - 1)**3*(b + 1)
Let f(u) be the third derivative of u**6/144 - u**5/18 + 5*u**4/36 + 20*u**2. Factor f(s).
5*s*(s - 2)**2/6
Let k(x) be the second derivative of x**5/80 + 5*x**4/48 + x**3/3 + x**2/2 + 13*x. Factor k(q).
(q + 1)*(q + 2)**2/4
Suppose 25*r**2 + 9*r + 4 + 9*r - 23*r + r**5 + 7*r**4 + 19*r**3 + 21*r = 0. What is r?
-2, -1
Let p(y) be the third derivative of -9*y**5/20 - y**4 + y**3/2 - 12*y**2. Factor p(a).
-3*(a + 1)*(9*a - 1)
Suppose 0 = 4*h + 38 + 2. Let s be 4/(-2) + h/(-2). Factor 4*j**2 - 5*j + j**s + 0 - 2*j**3 + 2.
-(j - 2)*(j - 1)**2
Let o(f) = -f**3 - 4*f**2 + 16*f + 24. Let q be o(-6). Let 0 + q*g + 4/3*g**4 + 1/3*g**5 + 4/3*g**3 + 0*g**2 = 0. Calculate g.
-2, 0
Let l(s) be the second derivative of -s**4/42 - s**3/21 - 12*s. Factor l(q).
-2*q*(q + 1)/7
Let w be (-4)/(-14) - 264/(-84). Factor w*x - 12/7*x**2 - 16/7 + 2/7*x**3.
2*(x - 2)**3/7
Let j(w) = w**3 - 3*w**2 + w - 1. Let m be j(3). Let r(q) be the second derivative of 0*q**2 - 1/36*q**4 - 1/18*q**3 + 0 - m*q. Factor r(h).
-h*(h + 1)/3
Let a(z) = z**3 + 68*z**2 - 576*z + 1536. Let h(d) = -69*d**2 + 576*d - 1536. Let p(o) = -3*a(o) - 4*h(o). Determine u so that p(u) = 0.
8
Let p be 4*3/(-18)*(8 + -9). Let 2/3*j**3 - 2/3 - p*j + 2/3*j**2 = 0. Calculate j.
-1, 1
Let y(n) be the first derivative of -n**6/39 + 12*n**5/65 - n**4/2 + 8*n**3/13 - 4*n**2/13 - 9. Solve y(t) = 0.
0, 1, 2
Let y be 0/(-1)*10/30. Solve -2/3*k - 4/3*k**2 + y = 0 for k.
-1/2, 0
Let l(a) be the third derivative of -a**8/336 + a**6/60 - a**4/24 + 2*a**2. Solve l(n) = 0 for n.
-1, 0, 1
Let t(j) be the third derivative of 0*j + 1/300*j**5 + 0 - 5*j**2 + 2/15*j**3 + 1/30*j**4. Solve t(r) = 0 for r.
-2
Let r(x) = 6*x**4 + 6*x**3 - 5*x**2 + 5. Let t(y) = -7*y**4 - 7*y**3 + 6*y**2 - 6. Let b(k) = -6*r(k) - 5*t(k). Factor b(z).
-z**3*(z + 1)
Let w = -3 + 7. Suppose -w = -5*m + 6. Determine n so that -n**3 + 0*n**4 - 3*n**3 - m*n**4 = 0.
-2, 0
Solve -2*x**2 + 1/2*x**4 + 3/2 + x - x**3 = 0.
-1, 1, 3
Let p(j) be the second derivative of 1/45*j**6 + 0 + 10/9*j**3 + j**2 + 1/5*j**5 + 2/3*j**4 + 5*j. Factor p(x).
2*(x + 1)**3*(x + 3)/3
Let r be (5 - 95/10)/(6/(-8)). Let h(l) be the first derivative of 0*l**2 + 0*l**4 - 2/55*l**5 + 1/33*l**r + 0*l + 1 + 0*l**3. Factor h(w).
2*w**4*(w - 1)/11
Let f(y) be the third derivative of -y**5/60 - y**4/24 - y**3/6 - y**2. Let q(h) = 11*h**2 - 5*h + 1. Let w = 4 - -1. Let p(a) = w*f(a) + q(a). Factor p(c).
2*(c - 2)*(3*c + 1)
Factor 2/15 + 16/15*c + 14/15*c**2.
2*(c + 1)*(7*c + 1)/15
Let d be ((-24)/5)/(9/30). Let k be (d/12 + 1)/(-1). Factor -2/3*v - k*v**2 - 1/3.
-(v + 1)**2/3
Let u(n) be the first derivative of 0*n - 1/6*n**4 - 2/3*n**3 - 1 - 2/3*n**2. Solve u(g) = 0 for g.
-2, -1, 0
Let s(g) be the first derivative of g**3/3 + 3*g**2 + 9*g - 10. Suppose s(a) = 0. Calculate a.
-3
Let k(p) be the second derivative of 2*p**7/21 + 2*p**6/15 - p**5/5 - p**4/3 + 4*p. Determine l, given that k(l) = 0.
-1, 0, 1
Let x(g) = -4*g. Let h be x(-1). Suppose 0 = -5*m - y + 107, -h*m - 7*y + 3*y = -92. Solve m*i**2 + 4/3 + 32/3*i = 0.
-2/7, -2/9
Let n(l) be the first derivative of 5*l**3/3 - 10*l**2 + 20*l + 9. What is c in n(c) = 0?
2
Let p(c) = -c**2 + 2*c - 2. Let i(m) = m**2 - m - 1. Let v(t) = 2*i(t) + p(t). Factor v(k).
(k - 2)*(k + 2)
Factor -1/4*a + 3/4*a**2 + 1/4*a**3 - 1/4*a**4 - 1/2.
-(a - 2)*(a - 1)*(a + 1)**2/4
Let a(o) be the third derivative of -o**8/840 - o**7/210 + o**5/30 + o**4/12 - o**3/2 + 2*o**2. Let l(m) be the first derivative of a(m). Factor l(w).
-2*(w - 1)*(w + 1)**3
Let q(y) be the second derivative of y**8/5880 + y**7/5880 - y**6/2520 - y**3 + 7*y. Let s(p) be the second derivative of q(p). Let s(a) = 0. What is a?
-1, 0, 1/2
Suppose -2*x - 1 = -13. Suppose -x - 9 = -5*b. Factor 0*j**b + 6/7*j**4 - 2/7*j**2 + 0*j - 4/7*j**5 + 0.
-2*j**2*(j - 1)**2*(2*j + 1)/7
Let s = 11 - 8. Let q(l) be the second derivative of l - 1/24*l**s - 1/48*l**4 + 0 + 0*l**2. Suppose q(p) = 0. Calculate p.
-1, 0
Let h be (5 + -3)/((-1)/(-2)). Let l be h/(-12)*-1*1. Factor l*y**4 - 2/3*y**3 + 0 + 1/3*y**2 + 0*y.
y**2*(y - 1)**2/3
Factor -9/4*h**2 + 3*h + 3.
-3*(h - 2)*(3*h + 2)/4
Let r(p) be the first derivative of -1/8*p**2 - 1/12*p**3 + 1/4*p + 1/16*p**4 - 3. Find h, given that r(h) = 0.
-1, 1
Let p(v) = 2*v + 6. Let j be p(6). Suppose -4*d + 3*w = -24, 0 = -4*w + 2 - j. Solve -3*n - n**2 + 4*n**d - 2*n**3 + n**4 + 0*n + n = 0 for n.
-2, -1, 0, 1
Let a(w) be the first derivative of -3/10*w**5 + 10 + 3/2*w**3 - 6*w + 3*w**2 - 3/4*w**4. Determine n so that a(n) = 0.
-2, 1
Let q(g) be the second derivative of g**6/10 - g**4/4 - 55*g. Suppose q(v) = 0. Calculate v.
-1, 0, 1
Let x(p) be the first derivative of 2*p**3/21 - 8*p**2/7 + 32*p/7 + 45. Find w, given that x(w) = 0.
4
Factor -3*a**4 + 2*a + 0*a**2 - 2*a**5 - a**4 - 8*a**2 + 12*a**2.
-2*a*(a - 1)*(a + 1)**3
Suppose 0 = -b - 3*b + 3*c + 130, 0 = -3*b - 2*c + 89. Let m = 31 - b. Determine u so that 2/11*u**3 + 0 + 0*u + m*u**2 = 0.
0
Factor 2/3*s**2 + 0 + 4/15*s - 14/15*s**3.
-2*s*(s - 1)*(7*s + 2)