. Suppose h = 3*h - z. Find t, given that 6*t**3 + 2*t - 4*t**2 - 4*t**h + 0*t = 0.
0, 1
Let h be 2/1 - (1 + 2). Let p be 2*(1 - h)/2. Find d, given that -3*d**p + 4 - 3*d**2 + 3*d**3 - d**2 = 0.
-2/3, 1, 2
Let n(h) be the second derivative of -2*h**6/75 + h**4/15 + 5*h. Find r, given that n(r) = 0.
-1, 0, 1
Let f = 3389/7 + -485. Let p = 8/7 + f. Factor -4/7*i**3 - 2/7*i**2 + p*i**4 + 0 + 4/7*i.
2*i*(i - 2)*(i - 1)*(i + 1)/7
Suppose -k = k - 8, 3*y + 5*k = 32. Let t(n) be the second derivative of 1/6*n**y + 0*n**2 - 1/3*n**3 + n + 0. Solve t(f) = 0 for f.
0, 1
Suppose -2*w - 9 + 1 = 0. Let p be w/6 + 2/3. Factor p - 1/4*b - 1/4*b**3 + 1/2*b**2.
-b*(b - 1)**2/4
Let q(o) = -o + 3. Let x be q(3). Suppose -p + x*p = 0. What is i in 0*i**2 - 2/3*i + 2/3*i**3 + p = 0?
-1, 0, 1
Let a(h) be the third derivative of h**9/144 + h**8/35 + 11*h**7/280 + h**6/60 - 5*h**3/6 - h**2. Let x(k) be the first derivative of a(k). Factor x(d).
3*d**2*(d + 1)**2*(7*d + 2)
Let r(l) be the second derivative of 9*l**6/40 - l**5/2 + l**4/24 + l**3/3 + 2*l**2 + 10*l. Let w(q) be the first derivative of r(q). Solve w(z) = 0.
-2/9, 1/3, 1
Let k(q) = 2*q**2 - 23*q + 15. Let m(x) = 15*x**2 - 185*x + 120. Let b(u) = -25*k(u) + 3*m(u). Solve b(f) = 0 for f.
1, 3
Let g(t) = 3*t - 1. Let m = -3 - -4. Let k be g(m). Factor -f**k - 3*f**3 + f**2 - f**2 + 4*f**3.
f**2*(f - 1)
Let k(r) be the third derivative of -r**6/270 + r**4/54 + 3*r**2 + r. Suppose k(q) = 0. What is q?
-1, 0, 1
Let r(d) be the second derivative of 3*d**5/4 + 3*d**4 + 9*d**3/2 + 3*d**2 + 2*d + 64. Factor r(j).
3*(j + 1)**2*(5*j + 2)
Let n(z) = -4*z**3 - 3*z**2 + z - 7. Let g(b) = -3*b**3 - 2*b**2 + b - 5. Let w(p) = -7*g(p) + 5*n(p). Solve w(v) = 0 for v.
-1, 0, 2
Let z(r) be the second derivative of -r**6/720 + r**5/120 - r**4/48 - r**3/2 - 2*r. Let n(i) be the second derivative of z(i). Solve n(m) = 0 for m.
1
Factor 14/3*h**3 - 4/3 - 14/3*h + 4/3*h**2.
2*(h - 1)*(h + 1)*(7*h + 2)/3
Let l(j) be the first derivative of 8/5*j**5 - 12/5*j**4 + 4/5*j + 3/5*j**2 - 4 + 7/5*j**6 - 44/15*j**3. Determine u so that l(u) = 0.
-1, -2/7, 1/3, 1
Let j(r) be the first derivative of -r**6/900 - r**5/200 + r**4/60 - 2*r**3/3 - 7. Let l(x) be the third derivative of j(x). Factor l(n).
-(n + 2)*(2*n - 1)/5
Let t = -34 + 54. Let a = t + -18. Determine b so that 0 + 0*b + 5/3*b**5 + 0*b**a - 2/3*b**3 - b**4 = 0.
-2/5, 0, 1
Let u(t) = -t + 1. Let s be u(-2). Find k such that 3*k**2 + 2*k + k - s*k**3 - 2*k**2 - 2 + k**4 = 0.
-1, 1, 2
Let y(b) = 2*b**3 - 5*b**2 + 3*b. Let m be y(4). Let l be m/63 + (-4)/14. Find r, given that -l*r**2 + 0 - 2/3*r**3 + 0*r = 0.
-1, 0
Let x(q) be the first derivative of 2*q**3/9 - 8*q**2/3 - 32. What is j in x(j) = 0?
0, 8
Let w(s) be the second derivative of s**7/14 + s**6/5 + 3*s**5/20 + 14*s. Factor w(n).
3*n**3*(n + 1)**2
What is o in 63/4*o**3 + 9/2*o + 57/4*o**2 + 0 + 3/4*o**5 + 27/4*o**4 = 0?
-6, -1, 0
Factor 0*g + 1/5 - 1/5*g**2.
-(g - 1)*(g + 1)/5
Let d(a) = a + 3. Let v be d(4). Find u, given that -3*u**5 - 3*u**3 - u + u**5 - u + v*u**3 = 0.
-1, 0, 1
Let x(y) = 7*y**2 + 13*y - 2. Let u be x(-2). Find f such that -3/5*f**2 + u*f + 3/5 = 0.
-1, 1
Let s(m) be the third derivative of 1/300*m**6 + 1/150*m**5 + 0 - 3*m**2 - 1/60*m**4 - 1/15*m**3 + 0*m. Find t, given that s(t) = 0.
-1, 1
Suppose 11 = 3*w + 2. Suppose w*y - 11*y**5 - 4*y**5 - 2*y**3 - 6 + 30*y**2 + 14*y**3 - 24*y**4 = 0. What is y?
-1, 2/5, 1
Suppose 2*w + w = -6, -3*y = -5*w - 4. Let g = 7 + y. Factor -2*q**2 - 2*q**5 - q**4 + 3*q**2 + 5*q**g - 3*q**3.
q**2*(q - 1)*(q + 1)*(3*q - 1)
Let u(l) be the second derivative of 3*l**5/160 - 3*l**4/32 + 3*l**2/4 - 6*l. Factor u(w).
3*(w - 2)**2*(w + 1)/8
Let p(z) be the third derivative of -5*z**8/21 - 76*z**7/21 - 505*z**6/24 - 219*z**5/4 - 405*z**4/8 - 45*z**3/2 - 11*z**2. Let p(n) = 0. What is n?
-3, -1/4
Let y(w) = 15*w**4 + 33*w**3 + 9*w**2 - 3*w + 3. Let s(f) = f**3 + f**2 + f - 1. Let t(p) = 3*s(p) + y(p). Factor t(k).
3*k**2*(k + 2)*(5*k + 2)
Let r(v) be the second derivative of 27*v**5/20 + v**4/2 + 34*v. Let r(b) = 0. What is b?
-2/9, 0
Let x = -23 - -20. Let a(v) = v**3 + v**2 + 3*v - 3. Let p(z) = 2*z**3 + 4*z - 3. Let s(d) = x*a(d) + 2*p(d). Find g such that s(g) = 0.
-1, 1, 3
Let x be (-128)/(-10)*(6 - 0)/12. Factor -2/5 - 2*y + 2*y**2 + 10*y**3 - 16*y**4 + x*y**5.
2*(y - 1)**3*(4*y + 1)**2/5
Let g(l) be the second derivative of l**4/78 - 2*l**3/39 - 19*l. Factor g(d).
2*d*(d - 2)/13
Let q(c) be the third derivative of -c**5/60 + c**4/3 - 5*c**3/6 + c**2. Let n be q(7). Factor -4/3*h**3 - 10/3*h**n - 8/3*h - 2/3.
-2*(h + 1)**2*(2*h + 1)/3
Let x(a) = 6*a**4 - a**3 - 2*a**2 + 5*a + 5. Let p(b) = -5*b**4 + b**3 + 2*b**2 - 4*b - 4. Let h(o) = -5*p(o) - 4*x(o). Determine v so that h(v) = 0.
-1, 0, 2
Let p = 28 + -23. What is r in p*r + 0 - 4 + 2*r + 2*r**2 - 5*r = 0?
-2, 1
Let r be (-6)/10 - (-328)/(-20). Let w = -50/3 - r. Factor -1/3*u**2 - w*u + 1/3*u**4 + 1/3*u**3 + 0.
u*(u - 1)*(u + 1)**2/3
Let s(p) = p. Let g(n) = 14*n - 4. Let r(t) = g(t) - 12*s(t). Let x be r(3). Factor -3*q**3 + 3*q**3 - x*q + 2*q**3.
2*q*(q - 1)*(q + 1)
Let j(x) be the first derivative of -x**4/4 + x**3 - x**2 + 9. Let j(l) = 0. Calculate l.
0, 1, 2
Let p(i) = i**5 + 4*i**4 - 4*i**3 - i**2 - 3*i. Let u(k) = k + 7*k**3 - k**4 + 6*k**3 - 12*k**3. Let l(j) = p(j) + 3*u(j). Factor l(t).
t**2*(t - 1)*(t + 1)**2
Let k(s) be the second derivative of -s**6/75 + 2*s**5/25 - s**4/6 + 2*s**3/15 + 2*s. Factor k(w).
-2*w*(w - 2)*(w - 1)**2/5
Factor 6/7*x**2 + 2/7*x - 2/7*x**3 - 6/7.
-2*(x - 3)*(x - 1)*(x + 1)/7
Find a, given that -8/3*a**3 - 10/3*a**2 + 0 - 4/3*a - 2/3*a**4 = 0.
-2, -1, 0
Let r(d) be the third derivative of d**7/8820 - d**6/1260 + d**5/420 - d**4/6 - 3*d**2. Let i(c) be the second derivative of r(c). Solve i(o) = 0.
1
Let p be 2 + -1 - -1*1. Let 0*s - s**3 + p*s**3 + s - 2 - 4*s = 0. Calculate s.
-1, 2
Let u(r) be the second derivative of 5/2*r**3 - 3*r**2 + 2*r - r**4 + 0 + 3/20*r**5. Determine v so that u(v) = 0.
1, 2
Let x(p) = -p**4 - p**3. Let d(l) = 2*l**4 - l**3 - 3*l**2. Let k(f) = d(f) - x(f). Suppose k(c) = 0. Calculate c.
-1, 0, 1
Let x(n) be the first derivative of -n**6/8 - 7*n**5/10 - n**4/8 + 10*n**3/3 - 3*n**2/8 - 9*n/2 - 19. Let x(y) = 0. Calculate y.
-3, -2/3, 1
Suppose 3*f + 1 = -4*y + 2, -5*y = 2*f - 10. Factor -5*a**3 + 6*a**3 - y*a**2 + 3*a**2.
a**2*(a - 1)
Suppose -c + a - 4*a + 3 = 0, 3*c - 2*a = 9. Let t(i) be the second derivative of -1/2*i**2 - 1/12*i**4 + 1/3*i**c + 0 + 2*i. Factor t(m).
-(m - 1)**2
Let b(k) = -5*k - 1. Let n be b(-1). Let x = -47/12 - -25/6. Factor x*v**2 - 1/2*v**3 + 1/4*v**n + 0 + 0*v.
v**2*(v - 1)**2/4
Let w(b) be the first derivative of -b**7/2940 - b**6/1260 + 4*b**3/3 + 3. Let d(z) be the third derivative of w(z). Find y such that d(y) = 0.
-1, 0
Let s(l) = -l + 9. Suppose 0 = -4*a + 8, 3*y + a + 2*a = 27. Let h be s(y). Factor 4*d**3 - 2*d**3 - 6*d**2 + d - h + 5*d.
2*(d - 1)**3
Let a be ((-1 - -6) + -5)/2. Factor 0*d**2 + 0*d**4 + 2/3*d**5 + a*d + 0 - 2/3*d**3.
2*d**3*(d - 1)*(d + 1)/3
Let o(k) be the first derivative of 343*k**4/4 + 98*k**3 + 42*k**2 + 8*k + 3. Factor o(t).
(7*t + 2)**3
Let n(o) be the third derivative of -1/27*o**3 - 1/270*o**5 + 0 - 3*o**2 - 1/54*o**4 + 0*o. Factor n(z).
-2*(z + 1)**2/9
Let u(g) = g**2 + 5*g. Let n be u(-6). Suppose -n = -3*c + c. Factor 0*w + w**c - 2/3*w**2 + 0.
w**2*(3*w - 2)/3
Let z(d) = -8*d - 50. Let i be z(-7). Factor -3/2*q**3 + i*q**2 + 3 - 15/2*q.
-3*(q - 2)*(q - 1)**2/2
Determine d, given that -7*d + 127*d**5 - 124*d**5 - 18*d**3 + 24*d**2 - 2*d = 0.
-3, 0, 1
Suppose 0*b - 4 = -4*b. Let -2*i**3 - 3*i**2 + 10*i - 3 + 4*i**3 - b - 5*i**2 = 0. What is i?
1, 2
Let g be (6/72)/((-10)/6). Let k = 37/60 - g. Factor -4/3*r**2 - k*r + 2/3*r**5 + 0 + 0*r**3 + 4/3*r**4.
2*r*(r - 1)*(r + 1)**3/3
Let x be 1/5 + (-32)/(-40). Factor -x - 3*q**2 + 2*q**2 + 2.
-(q - 1)*(q + 1)
Let p(o) be the third derivative of o**7/840 - o**6/480 - o**5/240 + o**4/96 + 3*o**2. Factor p(g).
g*(g - 1)**2*(g + 1)/4
Let k(o) be the first derivative of -o**7/105 + o**5/30 + o**2/2 - 2. Let i(u) be the second derivative of k(u). Factor i(h).
-2*h**2*(h - 1)*(h + 1)
Let g be (15922/(-840))/19 + 1. Let s(o) be the third derivative of 0*