).
-5*y*(y + 2)
Determine b, given that 0*b + 1/9*b**2 + 0 + 1/9*b**4 - 2/9*b**3 = 0.
0, 1
Suppose -17*k = 6*k. Let 2/9*l**4 + 0*l + k - 2/9*l**3 + 0*l**2 = 0. Calculate l.
0, 1
Suppose 4*l - 24 = -2*q, -16 - 2 = -4*q - 2*l. Determine o so that -4/13*o + 0 - 2/13*o**q + 2/13*o**3 = 0.
-1, 0, 2
Suppose 0*j + 4/3*j**2 - 4/3 = 0. What is j?
-1, 1
Let l(p) be the second derivative of p**7/735 + p**6/210 - p**4/42 - p**3/21 + 3*p**2/2 - p. Let c(r) be the first derivative of l(r). Factor c(v).
2*(v - 1)*(v + 1)**3/7
Suppose 0 = v - 13 + 6. Let a(o) be the third derivative of 0*o - 1/525*o**v + 0*o**4 + 0 + 2*o**2 + 0*o**3 + 1/300*o**6 + 0*o**5. Factor a(u).
-2*u**3*(u - 1)/5
Let l = 313/465 - 1/155. Factor l*h + 4/9 + 2/9*h**2.
2*(h + 1)*(h + 2)/9
Let a(c) be the second derivative of -1/3*c**6 + 0*c**4 - 1/5*c**5 + 0 + c + 0*c**3 + 0*c**2. Find b such that a(b) = 0.
-2/5, 0
Suppose 0 = 4*x - 5*x + 2. Find o, given that 24*o**3 + 3*o**4 - 28*o + o**5 + 17*o**4 + 5*o**5 - 8*o**2 - 12 - x*o**5 = 0.
-3, -1, 1
Suppose -r = 3*j - 9, 5 = 3*r - 4*r + 4*j. Solve -18*i**3 + 9*i - 3*i**4 - 2*i + 5*i + 9*i**r = 0.
-2, 0, 1
Factor -1/5*u**2 - 2/5*u + 0.
-u*(u + 2)/5
Let s be 4/18 + 34480/(-29610). Let i = -4/47 - s. Factor -6/7*l**2 - 2/7*l**4 + 0 - 2/7*l - i*l**3.
-2*l*(l + 1)**3/7
What is c in -36 - 3*c**2 + 5*c**2 + 36 = 0?
0
Let o(q) = q**3 - 6*q**2 - 22*q + 50. Let s be o(8). Find n, given that 6*n**s + 14/3*n**3 + 4/3*n + 0 = 0.
-1, -2/7, 0
Let v(h) = -4*h**2 - 7*h - 3. Let r(g) = -4*g**2 - 6*g - 2. Let l(w) = -7*r(w) + 6*v(w). Factor l(p).
4*(p - 1)*(p + 1)
Let a(d) be the first derivative of -d**6/1440 + d**5/240 - d**4/96 + d**3/3 + 2. Let b(j) be the third derivative of a(j). Determine q, given that b(q) = 0.
1
Let r(s) be the first derivative of s**4/8 - s**3/3 - s**2/4 + s + 10. Let r(y) = 0. Calculate y.
-1, 1, 2
Let a(t) be the first derivative of t**6/30 - 2*t**5/25 - t**4/10 + 8*t**3/15 - 7*t**2/10 + 2*t/5 + 7. Suppose a(d) = 0. What is d?
-2, 1
Let m = 4633/4 + -1158. Find f, given that m*f**2 + 0 - 3/4*f = 0.
0, 3
Let x(k) be the third derivative of 1/168*k**8 - 1/75*k**7 + 4*k**2 + 0*k**4 + 0*k**3 + 0*k + 0*k**5 + 0 + 1/150*k**6. Let x(h) = 0. Calculate h.
0, 2/5, 1
Let m(h) be the third derivative of -h**2 + 0*h + 0*h**3 + 1/1050*h**7 - 1/300*h**5 + 0 - 1/600*h**6 + 0*h**4 + 1/1680*h**8. Solve m(y) = 0 for y.
-1, 0, 1
Let q(l) be the third derivative of -l**8/2310 - 2*l**7/1155 + l**6/264 - l**5/330 - l**4/4 + l**2. Let m(h) be the second derivative of q(h). Factor m(v).
-2*(v + 2)*(4*v - 1)**2/11
Factor 2*r**2 - 9*r**2 + 2*r**3 + r**2.
2*r**2*(r - 3)
Let u(j) be the first derivative of -5*j**4/6 - 26*j**3/9 - 4*j**2/3 + 8*j/3 - 5. Find y, given that u(y) = 0.
-2, -1, 2/5
Let i(w) be the first derivative of 1/4*w**3 - 3 - w + 1/16*w**4 + 0*w**2. Factor i(u).
(u - 1)*(u + 2)**2/4
Let i(z) be the first derivative of 4*z**5/5 + z**4/2 - 2*z**3/3 - 5. Determine l so that i(l) = 0.
-1, 0, 1/2
Let t(c) be the third derivative of c**6/300 - c**5/50 + c**4/20 - c**3/15 + 3*c**2. Let t(j) = 0. Calculate j.
1
Let d = 8 - 9. Let i be d + -2 + 7 + -1. Find m, given that -2/7*m**i + 4/7*m**2 + 0 - 2/7*m = 0.
0, 1
Suppose 3*s - 2*n = 16, 2*n + 9 = 2*s - 5. Let -2*h + 2*h - 7*h**3 + 7*h + 2 - 2*h**s = 0. Calculate h.
-1, -2/7, 1
Let r(v) = v**3 + 2*v + 7. Let k be r(0). Let a(n) = n + 1. Let x be a(6). Suppose 13 + q**2 - k - x = 0. What is q?
-1, 1
Let h(z) be the first derivative of -1/7*z**2 - 1/21*z**3 - 1 + 0*z. Find u, given that h(u) = 0.
-2, 0
Let y(d) be the first derivative of 4*d**5/45 + d**4/18 - 2*d**3/9 - d**2/9 + 2*d/9 + 4. Determine c so that y(c) = 0.
-1, 1/2, 1
Let j be (-6)/18 + (-50)/(-42). Factor -8/7*o**4 + 0*o + 4/7*o**2 - 2/7*o**3 + 0 + j*o**5.
2*o**2*(o - 1)**2*(3*o + 2)/7
Let l(y) be the first derivative of 0*y**2 + 0*y**4 - 2 + 0*y - 1/5*y**5 + 1/3*y**3. Factor l(q).
-q**2*(q - 1)*(q + 1)
Let v = 340/501 - 2/167. Let z be 4 - (0/2 + -1). Factor 0 + 0*j**3 - 1/3*j - v*j**4 + 2/3*j**2 + 1/3*j**z.
j*(j - 1)**3*(j + 1)/3
Suppose -23 + 7 = 4*w. Let x be (-1)/2 - 10/w. Suppose 4*f**3 + 3*f**3 - 5*f**3 - 2*f**x = 0. What is f?
0, 1
Let q(p) be the third derivative of p**7/105 - p**6/40 + p**5/60 + 3*p**2. Let q(b) = 0. Calculate b.
0, 1/2, 1
Suppose 2*h + v = -1, -2*h - 4*v + 1 = -5*v. Suppose 2/5*r**4 + h*r**3 + 0*r + 0 - 2/5*r**2 = 0. Calculate r.
-1, 0, 1
Let w(s) = -9*s**2 - s. Let i(x) = -4*x**2. Let p(l) = 7*i(l) - 3*w(l). Find k such that p(k) = 0.
0, 3
Let l(o) be the first derivative of -o**6/6 - 2*o**5/5 + 3*o**4/4 + 8*o**3/3 + 2*o**2 - 30. Let l(r) = 0. What is r?
-2, -1, 0, 2
Suppose 3*x + 23 = 74. Let r(n) = n**3 - 3*n**2 + 2*n - 4. Let h be r(3). Factor 6*a**2 - h*a - 23*a**3 - 5 + 5 + x*a**3 + 2*a**4.
2*a*(a - 1)**3
Let d = -57055 + 400094/7. Let n = d - 101. Determine p, given that -2/7 + 2/7*p**2 + n*p - 2/7*p**3 = 0.
-1, 1
Let g(q) be the second derivative of -q**5/30 - 7*q**4/18 + q**3/9 + 7*q**2/3 + 11*q. Determine y, given that g(y) = 0.
-7, -1, 1
Let s(m) be the second derivative of -m**6/105 + m**4/21 - m**2/7 + 4*m. Suppose s(w) = 0. Calculate w.
-1, 1
Let i(k) be the second derivative of 2*k**7/21 + 4*k**6/15 + k**5/5 + 12*k. Determine v so that i(v) = 0.
-1, 0
Let p(r) be the third derivative of -r**5/100 - 3*r**4/8 + 8*r**3/5 - r**2 + 3*r. Factor p(l).
-3*(l - 1)*(l + 16)/5
Let u(p) be the second derivative of 0*p**5 + 4*p + 0*p**2 + 0 + 1/18*p**3 - 2/45*p**6 + 1/12*p**4. Factor u(m).
-m*(m - 1)*(2*m + 1)**2/3
Factor -12*k**4 - 26*k**3 - 2*k**3 - 46 + 46 - 8*k**2.
-4*k**2*(k + 2)*(3*k + 1)
Let f(k) be the first derivative of k**6/90 + k**5/60 - k**4/36 - k**3/18 + k + 1. Let i(v) be the first derivative of f(v). Determine h so that i(h) = 0.
-1, 0, 1
Let c(h) be the third derivative of h**9/1512 - h**8/840 + 7*h**3/6 + 7*h**2. Let f(u) be the first derivative of c(u). Find t such that f(t) = 0.
0, 1
Let l = 175/12 - 28/3. Suppose 0 = 3*n - 0 - 6. Let 0 - 4*w**n + l*w**3 - 9/4*w**4 + w = 0. Calculate w.
0, 2/3, 1
Suppose -18*f + 10*f = 0. Determine h, given that -3/2*h**3 + f*h + 0 + 1/2*h**5 + h**2 + 0*h**4 = 0.
-2, 0, 1
Let k(g) be the second derivative of -g**4/66 - 8*g**3/33 - 7*g**2/11 + 20*g. Find u such that k(u) = 0.
-7, -1
Suppose 2/9*q - 8/9*q**2 + 0 + 10/9*q**3 - 4/9*q**4 = 0. Calculate q.
0, 1/2, 1
Suppose 4*i = -4*m + 3*i + 21, -2*m - 3*i = -13. Factor 1/3*g**4 + 0 + 0*g + 1/3*g**m - 1/3*g**2 - 1/3*g**3.
g**2*(g - 1)*(g + 1)**2/3
Let t = 6 + -8. Let l be 1/(0 - t/12). Let -l + 5 - 1 - 24*h**2 - 12*h - 16*h**3 = 0. Calculate h.
-1/2
Let 1/7*k**2 + 1/7 + 2/7*k = 0. What is k?
-1
Suppose -4 - 4*w - 5 - 4*w**2 + 22 - 5 = 0. What is w?
-2, 1
Let a(y) be the second derivative of y**4/12 + 2*y**3/3 - 22*y. Suppose a(d) = 0. Calculate d.
-4, 0
Let r = -20 + 24. Suppose 0 = -r*p + 7*p. Factor -2/7*h**2 + 6/7*h**3 - 6/7*h**4 + p*h + 2/7*h**5 + 0.
2*h**2*(h - 1)**3/7
Factor -3/7*m**2 - 12/7*m**5 + 0 + 0*m - 27/7*m**4 - 18/7*m**3.
-3*m**2*(m + 1)**2*(4*m + 1)/7
Solve -32 + 35*x - 8 + 4*x**2 - 4*x**2 + 5*x**2 = 0.
-8, 1
Suppose -1/5*i + 1/5 - 1/5*i**2 + 1/5*i**3 = 0. What is i?
-1, 1
Factor 40*u**3 - 3*u**4 - 5*u**2 + 2*u**2 - 22*u**4 - 12*u**2.
-5*u**2*(u - 1)*(5*u - 3)
Let j(t) be the first derivative of -2/3*t**2 + 2/3*t**3 + 0*t + 2 + 1/3*t**4. Factor j(h).
2*h*(h + 2)*(2*h - 1)/3
Let o(f) be the first derivative of -1 + 1/3*f**3 + 0*f - 1/16*f**4 - 1/2*f**2. Suppose o(t) = 0. Calculate t.
0, 2
Let n = 81/8 + -75/8. Factor 1/4*t**5 + 0*t + 3/4*t**3 - 1/4*t**2 + 0 - n*t**4.
t**2*(t - 1)**3/4
Let h = 180 - 180. Factor h + 1/4*n**2 - 1/4*n.
n*(n - 1)/4
Let s(v) = -7*v - 6*v - 8 + 0 - 2*v**2. Suppose 5*i = 4*i - 5. Let o(f) = -f. Let g(l) = i*o(l) + s(l). Factor g(m).
-2*(m + 2)**2
Suppose 3 + 6 = -3*w, h + w = -1. Factor -1/7*n + 1/7*n**h + 0.
n*(n - 1)/7
Let u(c) be the second derivative of 0 + 10*c + 0*c**2 + 0*c**3 + 1/12*c**4. Solve u(b) = 0.
0
Let a(g) be the third derivative of g**5/90 + 5*g**4/36 + 4*g**3/9 + 7*g**2. Factor a(m).
2*(m + 1)*(m + 4)/3
Let d(k) be the first derivative of -3 + 0*k + 0*k**2 - 1/12*k**3 - 1/16*k**4. Factor d(v).
-v**2*(v + 1)/4
Let v = -68/9 - -281/36. Factor -1/4*t**3 + 0 + 0*t + v*t**2.
-t**2*(t - 1)/4
Factor 0*w + 1/3*w**4 + 1/3*w**3 - 2/3*w**2 + 0.
w**2*(w - 1)*(w + 