- 5*t - 3*t**4. Let d(h) = x*n(h) - 5*s(h). Solve d(z) = 0.
-1, 1
Determine a so that -27/8*a - 9/4*a**2 - 3/8*a**3 - 3/2 = 0.
-4, -1
Let b(z) = 5 - 4 + 1 + z**2 + 3*z. Let x be b(-3). What is r in -5*r**x - 5*r**3 + 4*r**2 - r**4 + 2*r**2 + 4*r**3 + r = 0?
-1, 0, 1
Let -2*l**3 - 2*l + l**2 + l**2 - 6*l**2 = 0. What is l?
-1, 0
Let o(g) = g**4 - 3*g**3 - g**2 + 5*g + 2. Let m(s) = -9*s**4 + 30*s**3 + 9*s**2 - 51*s - 21. Let v(x) = -2*m(x) - 21*o(x). Determine q so that v(q) = 0.
-1, 0, 1
Let c = -1/28 + 59/84. Determine z so that -2/3 + c*z - 2/3*z**3 + 2/3*z**2 = 0.
-1, 1
Let m = 2/265 - -259/795. Let 0 - m*q**2 + 2/3*q = 0. What is q?
0, 2
Let z be (-140)/9*2/(-5). Let d = -338/63 + z. Find r, given that 4/7*r**2 - 2/7*r**5 - 6/7*r**4 + d*r + 2/7 - 4/7*r**3 = 0.
-1, 1
Suppose 4*m = -g + 9, -m - 2*m = -2*g + 7. Let o(y) be the second derivative of -4*y - 1/10*y**g + 0*y**4 + 0*y**2 + 0 + 1/3*y**3. Factor o(j).
-2*j*(j - 1)*(j + 1)
Let f(d) be the second derivative of -d**8/672 - d**7/420 + d**6/240 + d**5/120 - 3*d**2/2 + 2*d. Let g(m) be the first derivative of f(m). Factor g(q).
-q**2*(q - 1)*(q + 1)**2/2
Let d(k) be the first derivative of 3/2*k**6 + 1 + 6*k**2 - 3/5*k**5 - 12*k - 33/4*k**4 + 9*k**3. Let d(b) = 0. Calculate b.
-2, -2/3, 1
Let r(i) be the first derivative of -4*i**5/45 + 2*i**4/3 - 52*i**3/27 + 8*i**2/3 - 16*i/9 + 2. Solve r(b) = 0.
1, 2
Factor -1/2*n + 1/8*n**2 + 1/2.
(n - 2)**2/8
Let o(s) = s**3 + 8*s**2 + s + 8. Let p be o(-8). Suppose 5*c + 0*c = p. Factor c*b + 2/7*b**2 - 2/7.
2*(b - 1)*(b + 1)/7
Let u = -3 - -7. Suppose -7 - 1 = -u*g. Find c such that c - 1/4*c**g - 1 = 0.
2
Let o be 5 + 0 + 3 + -6. Let -3 + 77*t**o - t**3 + 2 - 76*t**2 + t = 0. What is t?
-1, 1
Let d(o) be the second derivative of o**6/15 + o**5/10 - o**4/6 - o**3/3 + 3*o. Find t such that d(t) = 0.
-1, 0, 1
Let c = 5 - 2. Suppose -c*x + v - 2*v = -6, 5*x = 3*v + 10. Determine y, given that 0*y + 0 + 0*y**x - 2/3*y**3 = 0.
0
Let p(n) be the third derivative of n**7/42 + 5*n**6/12 + 2*n**5 - 25*n**4/12 - 125*n**3/6 - 29*n**2. Factor p(c).
5*(c - 1)*(c + 1)*(c + 5)**2
Let t(u) = -5*u**5 + 6*u**4 - u**3 - u**2 - 16*u - 16. Let m(j) = -j**5 + j**4 - 3*j - 3. Let s(w) = -11*m(w) + 2*t(w). Factor s(n).
(n - 1)**2*(n + 1)**3
Let 4/3 + 2/3*i**5 + 2/3*i - 8/3*i**2 + 4/3*i**4 - 4/3*i**3 = 0. What is i?
-2, -1, 1
Let x(u) be the first derivative of -u**3/6 + 3*u**2/2 - 9*u/2 - 4. Factor x(c).
-(c - 3)**2/2
Suppose -40*d**2 + 17*d - 34*d + 77*d**3 + 162*d**5 + 159*d**3 - 360*d**4 + 19*d = 0. Calculate d.
0, 1/9, 1
Let j = 556/105 - 58/15. Solve j*s**2 + 6/7*s + 0 = 0 for s.
-3/5, 0
Let -16/3*b**2 - 16/3*b**5 + 13/3*b**3 + b + 16/3*b**4 + 0 = 0. What is b?
-1, 0, 1/4, 3/4, 1
Suppose 0 = 3*q + 2*l - 7, 3*l + 4 = 2*q - 5. Suppose -g**3 + 2*g + 3*g**q - 4*g**3 + 2*g**2 - 2 = 0. Calculate g.
-1, 1
Let u be ((-3)/(-15))/(-1 + (-69)/(-60)). Factor 0*r + u*r**2 - 2/3*r**4 - 2/3 + 0*r**3.
-2*(r - 1)**2*(r + 1)**2/3
Let t be -4 - -4 - (-2)/10. Factor -t*q**3 + 1/5*q + 1/5 - 1/5*q**2.
-(q - 1)*(q + 1)**2/5
Suppose -p + 2*s = -2*s - 2, 10 = 5*p - s. Find z, given that 1 - 1/2*z**p - 1/2*z = 0.
-2, 1
Let k(f) be the first derivative of 2*f**3/7 - f**2 + 8*f/7 + 68. Factor k(c).
2*(c - 1)*(3*c - 4)/7
Factor 2/9*z**2 - 2/9 + 0*z.
2*(z - 1)*(z + 1)/9
Suppose -5*g - 15 = 0, -g = 4*h - 2*h + 9. Let i be (-22)/(-30) - (-1)/h. Solve i*b**2 - 2/5*b + 0 = 0.
0, 1
Let n(g) = -2*g**3 + g**2 + 5*g - 4. Let q(k) = k**2 - k. Suppose 5*a = -4*m + 2*a + 15, -3*m + 6 = -3*a. Let l(h) = m*q(h) + n(h). Solve l(f) = 0.
-1, 1, 2
Let f(b) = -8*b**3 - 8*b**2 - 6*b - 6. Let o = 5 - 6. Let p(z) = -z**3 - z**2 - z - 1. Let v(h) = o*f(h) + 6*p(h). Factor v(w).
2*w**2*(w + 1)
Let z be 9/7 + (-6)/21. Suppose 3 = 3*u, -3*d + 2*u + 6 + z = 0. Solve -2/3*o + 4/3*o**4 + 0 - 4/3*o**2 + 2/3*o**5 + 0*o**d = 0 for o.
-1, 0, 1
Factor 9*c - 3*c**2 + 0*c**2 + c**2 + 3*c.
-2*c*(c - 6)
Let h = -45 - -8. Let z = 41 + h. Factor 10/9*g**3 + 2/9*g**z + 2*g**2 + 4/9 + 14/9*g.
2*(g + 1)**3*(g + 2)/9
Suppose p - 7 + 5 = 0. Factor -1 - 14*q**p + 5 - 3*q - 7*q.
-2*(q + 1)*(7*q - 2)
Let j(t) = -t**3 - t**2 + 4*t. Let w be j(-3). Let x(a) = -2*a - a - 5 - 2*a - 7*a**4. Let o(y) = 8*y**4 + 6*y + 6. Let q(c) = w*x(c) + 5*o(c). Factor q(v).
-2*v**4
Let c(d) be the first derivative of -1/20*d**5 - 1/2*d**2 + 1 + 1/120*d**6 + 1/12*d**4 + 0*d**3 + 0*d. Let l(o) be the second derivative of c(o). Factor l(i).
i*(i - 2)*(i - 1)
Let y = 717 + -3579/5. Suppose -9/5*c + 3/5*c**3 + 0*c**2 - y = 0. Calculate c.
-1, 2
Let s = 13/18 - 2/9. Let l(u) be the first derivative of 0*u**3 - s*u**2 + 1/4*u**4 - 1 + 0*u. Solve l(x) = 0.
-1, 0, 1
Let v = -89/6 - -713/48. Let p(f) be the third derivative of 0*f**5 - 2*f**2 + 0*f**7 + 0*f + v*f**4 + 1/672*f**8 + 0*f**3 + 0 - 1/120*f**6. Solve p(c) = 0.
-1, 0, 1
Let j(w) be the first derivative of -1/6*w**4 + w**2 + 1/30*w**5 + 3 + 0*w + 1/3*w**3. Let a(q) be the second derivative of j(q). Factor a(x).
2*(x - 1)**2
Suppose -6*z + z + 15 = 2*k, 5*z = -4*k + 15. Suppose k = -v - 3*v - 4*a + 24, 0 = a - 3. Let -2/5*r**v + 0 + 2/5*r + 0*r**2 = 0. What is r?
-1, 0, 1
Let p be 0 + 6/(-39) - (-216)/52. Let 10*m**5 - 4*m**2 + 2*m - 39/2*m**3 + 23/2*m**p + 0 = 0. Calculate m.
-2, -2/5, 0, 1/4, 1
Let z(r) be the second derivative of -r**5/180 - r**4/24 - 2*r**2 + 6*r. Let y(c) be the first derivative of z(c). Factor y(u).
-u*(u + 3)/3
Suppose 0 = -4*w - 4*s + 32, -20 = -w - 4*s - s. Let j(b) be the first derivative of 4/21*b**3 + 0*b + 0*b**w - 4 + 3/14*b**4 + 0*b**2 - 1/21*b**6. Factor j(g).
-2*g**2*(g - 2)*(g + 1)**2/7
Let p(r) be the first derivative of 0*r**3 + 4 + 0*r + 0*r**2 + 1/6*r**4 - 2/15*r**5. Suppose p(h) = 0. Calculate h.
0, 1
Factor 3/2*s**3 - 51/2*s + 27/2 + 21/2*s**2.
3*(s - 1)**2*(s + 9)/2
Let k be ((-4)/6)/((-4)/30). Suppose 3*a + 32 = 5*r, -2*a - 11 = -2*r + k. Factor -2*d**3 + 0*d**3 + d**5 - d**2 + d**r + d**2.
d**3*(d - 1)*(d + 2)
Factor 9/4 + 1/4*a**2 - 3/2*a.
(a - 3)**2/4
Let j(b) be the third derivative of b**6/240 - b**5/30 + 5*b**4/48 - b**3/6 + 31*b**2. Factor j(n).
(n - 2)*(n - 1)**2/2
Let t(c) be the second derivative of 0 + 0*c**3 + 1/90*c**5 + 1/360*c**6 + 1/72*c**4 + c**2 - 2*c. Let k(i) be the first derivative of t(i). Factor k(n).
n*(n + 1)**2/3
Factor -3*d**2 + 4*d + 1 + 11 - 13*d + 0.
-3*(d - 1)*(d + 4)
Suppose -5*z = -k + 6 + 18, 5*k = -5*z. Let m be (-26)/(-6) + (-4)/(-6). Solve 32*r**2 + 2*r - 38*r**3 - 5*r**m - 3*r + 2 - 12*r + 22*r**k = 0 for r.
2/5, 1
Let v(t) = -t + 6. Let k be v(6). Let b(a) = a**3 + 7*a**2 + 6*a + 3. Let g be b(-6). Factor p**2 - 4*p**4 + k*p + 5*p**4 - g*p**3 + 3*p - 2.
(p - 2)*(p - 1)**2*(p + 1)
Let 2*q + 5/4*q**4 - 7/4*q**3 - 1/4*q**2 - 1 - 1/4*q**5 = 0. What is q?
-1, 1, 2
Let p(t) be the second derivative of -t**4/4 - 2*t**3 - 9*t**2/2 + 3*t - 1. Factor p(v).
-3*(v + 1)*(v + 3)
Let m(h) = -h + 8. Let d = -4 + 9. Let i be m(d). Factor n**2 - 2*n**2 + i*n**2.
2*n**2
Let p(v) be the third derivative of -v**7/105 + v**6/15 - v**5/5 + v**4/3 - v**3/3 + v**2. Factor p(w).
-2*(w - 1)**4
Let g = 5/22 + -83/462. Let o(m) be the second derivative of -1/7*m**2 + g*m**3 - m + 0 + 1/42*m**4 - 1/70*m**5. Find c, given that o(c) = 0.
-1, 1
Let g(p) be the second derivative of -p**9/9072 - p**8/5040 + p**7/2520 + p**6/1080 + p**3/3 - 2*p. Let b(r) be the second derivative of g(r). Factor b(q).
-q**2*(q - 1)*(q + 1)**2/3
Let -2/3*s**2 + 5/3*s + 1 = 0. Calculate s.
-1/2, 3
Factor 3 + 5 - 3*b - b - b**2 - 12.
-(b + 2)**2
Let z(s) be the first derivative of s**4 - 8*s**3/3 + 2*s**2 + 7. Suppose z(j) = 0. Calculate j.
0, 1
Let z = 114 - 102. Factor -z*x + 49/2*x**3 - 21/2*x**2 - 2.
(x - 1)*(7*x + 2)**2/2
Suppose -5 = -5*b + 5. Let j be ((-1)/5)/(8/(-30)). Factor -j*q**b + 1/4*q**3 - 1/4 + 3/4*q.
(q - 1)**3/4
Let a(d) be the second derivative of -1/27*d**3 + 6*d + 1/54*d**4 - 2/9*d**2 + 0. Determine h, given that a(h) = 0.
-1, 2
Suppose -c = 0, -j - 5*c + 19 - 6 = 0. Let p(f) = 23*f - 10*f**2 - j*f + 12*f. Let u(g) = 3*g**2 - 7*g. Let z(a) = 5*p(a) + 16*u(a). Let z(i) = 0. What is i?
-1, 0
Suppose 4/3 - 3*a**2 + 5/3*a**4 - 1/3*a + 1/3*a**3 = 0. What is a?
-1, 4/5, 1
Let f(x) = -2*x. Let n(c) = -c**2 - c + 1. Let d be n(1). Let v be f(d). Factor 2*z**3 + z**5 - 3*z