*4 - 4*i**4.
2*i*(i - 1)*(i + 2)**2
Let b = 0 + 5. Let f(y) be the third derivative of y**5/30 - 4*y**3/3 + 2*y**2. Let k(a) = -a**2 + 5. Let j(n) = b*f(n) + 8*k(n). Factor j(r).
2*r**2
Let y(g) be the first derivative of -2/3*g**3 - 2 + 0*g**2 + 2*g. Find d, given that y(d) = 0.
-1, 1
Let c = -12 + 30. Let u = -18 + c. Factor u*q**2 - 4/3*q - 2/3*q**4 + 4/3*q**3 + 2/3.
-2*(q - 1)**3*(q + 1)/3
Let c(v) be the first derivative of 5*v**4 + 8*v**3/3 - 10*v**2 - 8*v + 2. What is h in c(h) = 0?
-1, -2/5, 1
Let i be (0 - 15)*2/2. Let w be (-6)/(-15) - 24/i. Factor w*p**3 - 3*p**3 + p + 0 + 2*p**2 - 2.
-(p - 2)*(p - 1)*(p + 1)
Let a(o) be the second derivative of -o**7/70 + o**6/20 + 3*o**2/2 - 5*o. Let r(k) be the first derivative of a(k). Let r(j) = 0. Calculate j.
0, 2
Let y(w) = -3*w - 12. Let i be y(-5). What is z in 0 + 1/4*z**i + 1/4*z**2 + 0*z = 0?
-1, 0
Let v(t) be the first derivative of -3/4*t**3 - 15/8*t**2 - 4 + 3/2*t. Suppose v(c) = 0. Calculate c.
-2, 1/3
Find s such that 0 - 6*s - 3/2*s**3 + 6*s**2 = 0.
0, 2
Let m be (6/(-4))/(1/(-14)). Suppose m = 5*a + 1. Suppose -4 + u**a + u**5 + 4 = 0. Calculate u.
-1, 0
Let s(x) be the second derivative of -x**8/840 - x**7/525 + x**6/300 + x**5/150 - x**2 - x. Let u(g) be the first derivative of s(g). Factor u(o).
-2*o**2*(o - 1)*(o + 1)**2/5
Let o = -260/3 + 87. Let n(h) be the second derivative of o*h**3 + 1/4*h**4 + 3*h + 0 + 0*h**2 + 1/20*h**5. Factor n(y).
y*(y + 1)*(y + 2)
Let r(w) be the first derivative of w**8/10920 - w**6/1170 + w**4/156 - w**3 - 6. Let i(l) be the third derivative of r(l). What is k in i(k) = 0?
-1, 1
Let s(y) be the third derivative of -1/80*y**6 + 0*y**3 + 2*y**2 + 1/24*y**4 + 0*y - 1/24*y**5 + 0. Find f, given that s(f) = 0.
-2, 0, 1/3
Let x(z) = -12*z**3 - 16*z**2 - 8*z - 2. Let w(f) = f**5 + 36*f**3 + 48*f**2 + 25*f + 7. Let b(u) = 4*w(u) + 14*x(u). Factor b(j).
4*j*(j - 3)*(j + 1)**3
Let y be (105/14 + -6)*6/27. Factor y*a**2 + 1/3*a - 2/3.
(a - 1)*(a + 2)/3
Let b(q) be the second derivative of -4/15*q**3 + 0 + 0*q**2 + 3/50*q**5 - 3*q + 2/75*q**6 - 1/105*q**7 - 2/15*q**4. Factor b(c).
-2*c*(c - 2)**2*(c + 1)**2/5
Let j(z) be the third derivative of 0 - 1/735*z**7 + 1/210*z**5 - 1/420*z**6 + z**2 + 1/84*z**4 + 0*z + 0*z**3. Factor j(p).
-2*p*(p - 1)*(p + 1)**2/7
Suppose 0 = v - 0*v - 3. Factor g**v + 2*g**5 + g**4 - 4*g**4 + 0*g**3 + 0*g**3.
g**3*(g - 1)*(2*g - 1)
Let i(f) be the second derivative of -1/2*f**2 + 0 + 0*f**3 + 7*f + 1/12*f**4. Factor i(v).
(v - 1)*(v + 1)
Let y(h) be the second derivative of -h**4/6 - 2*h**3 + h. What is a in y(a) = 0?
-6, 0
Let q(j) = -j**3 + 8*j**2 + 20*j. Let n be q(10). Let g(r) be the second derivative of -1/30*r**4 - 1/15*r**3 + 0*r**2 - 3*r + n. Find m, given that g(m) = 0.
-1, 0
Let b(p) be the third derivative of -p**7/420 + p**5/20 + p**4/6 - 3*p**3/2 - 9*p**2. Let o(y) be the first derivative of b(y). Let o(i) = 0. What is i?
-1, 2
Suppose -15 = -2*t - 3*t, -4*s = 2*t + 6. Let p be ((-4)/(-36))/(s/(-18)). Factor -p*r**3 + 2/3*r + 2/3 - 2/3*r**2.
-2*(r - 1)*(r + 1)**2/3
Let a(b) = -b**3 - 6*b**2 - 11*b - 10. Let x be a(-4). Let o(d) be the first derivative of 1 + 1/12*d**3 + 1/4*d**x + 1/4*d. Factor o(z).
(z + 1)**2/4
Let r(m) be the first derivative of -m**9/3024 + m**7/840 + m**3 - 3. Let l(s) be the third derivative of r(s). Factor l(w).
-w**3*(w - 1)*(w + 1)
Let u(q) = -q**2 + 11*q + 29. Let h be u(13). Determine p so that 43/2*p**2 - 12*p + 2 + 7/2*p**4 - 15*p**h = 0.
2/7, 1, 2
Let t(p) be the second derivative of -3*p**5/100 - p**4/8 + p**3/5 - 3*p**2/2 + 8*p. Let k(q) be the first derivative of t(q). Let k(i) = 0. What is i?
-2, 1/3
Let u = -48547598/423 + 114770. Let w = u - 2/47. Factor -2/9*c**2 - w + 4/9*c.
-2*(c - 1)**2/9
Let s(f) = -f**2 - 4*f + 1. Let r be s(0). Let n be 1/((-2)/(-6)*2). Suppose n*z - r - 1/2*z**2 = 0. Calculate z.
1, 2
Let x(h) be the third derivative of 0*h**4 + 0*h - 1/540*h**6 + 0*h**5 + 4*h**2 - 1/1512*h**8 + 0*h**3 - 2/945*h**7 + 0. Factor x(m).
-2*m**3*(m + 1)**2/9
Let n(o) be the first derivative of o**8/6720 - o**7/1120 + o**6/480 - o**5/480 + 4*o**3/3 - 2. Let g(a) be the third derivative of n(a). Factor g(t).
t*(t - 1)**3/4
Let a(n) be the first derivative of n**5/10 - 3*n**4/8 + n**3/3 - 13. Solve a(k) = 0.
0, 1, 2
Let j(f) = 3*f**3 - 8*f**2 + 17*f - 19. Let x(o) = -2*o**3 + 5*o**2 - 11*o + 13. Let s(m) = 5*j(m) + 7*x(m). Factor s(q).
(q - 2)**2*(q - 1)
Let q(w) be the first derivative of 5*w**4 + 8*w**3/3 - 10*w**2 - 8*w - 10. Factor q(r).
4*(r - 1)*(r + 1)*(5*r + 2)
Let m be 4/(-1) + 4*21/12. Let k(o) be the second derivative of 1/2*o**2 - 2*o + 0 + 1/60*o**6 - 1/40*o**5 - 1/8*o**4 + 1/12*o**m. Solve k(c) = 0 for c.
-1, 1, 2
Let s(q) = q**5 - 12*q**4 + 12*q**3 - 2*q**2 + 6*q. Let o(b) = b**4 - b**2 - b. Let d(x) = -6*o(x) - s(x). Factor d(f).
-f**2*(f - 2)**3
Find x such that -16/9*x + 32/9 + 2/9*x**2 = 0.
4
Let x(q) be the first derivative of q**6/360 - q**5/180 - 7*q**2/2 + 2. Let u(f) be the second derivative of x(f). Solve u(o) = 0.
0, 1
Let o(x) be the second derivative of -x**6/360 - x**5/60 - x**4/24 - 2*x**3/3 - 5*x. Let m(n) be the second derivative of o(n). Factor m(t).
-(t + 1)**2
Let d(s) be the second derivative of -s**4/6 - s**3 + 2*s. Suppose d(o) = 0. Calculate o.
-3, 0
Factor -206*c**2 + 64*c**3 + 38*c**2 + 144*c - 48 + 32*c**3 - 27*c**4 + 3*c**5.
3*(c - 2)**4*(c - 1)
Let r = 5 + -1. Let -2*w**3 - 5 + 6 + 2*w - r*w**4 + 3*w**4 = 0. What is w?
-1, 1
Let w(c) be the third derivative of -c**8/6720 - c**7/840 - c**6/288 - c**5/240 - 2*c**3/3 - 3*c**2. Let d(g) be the first derivative of w(g). Factor d(h).
-h*(h + 1)**2*(h + 2)/4
Determine v, given that -2*v + v**2 + 10*v**4 + 12*v**4 - 23*v**4 + 2*v**3 = 0.
-1, 0, 1, 2
Let b(i) be the first derivative of i**6/1080 - i**5/360 + i**3/3 + 4. Let y(o) be the third derivative of b(o). Suppose y(q) = 0. What is q?
0, 1
Let w = -50 - -140. Let i = -44 + w. Let 18*b**2 + 8*b + 32*b**4 + i*b**2 + 48*b**4 + 18*b**4 + 154*b**3 = 0. Calculate b.
-1, -2/7, 0
Let l be -1 + 2 + -1 - -3. What is w in 2*w**4 + 0*w**2 - 2*w**4 + w**2 + w - w**l - w**4 = 0?
-1, 0, 1
Let z(i) be the third derivative of i**9/60480 - i**7/1680 + i**6/360 - i**5/12 - 4*i**2. Let s(m) be the third derivative of z(m). Factor s(g).
(g - 1)**2*(g + 2)
Factor -1/9*s**5 + 0*s + 0 + 5/9*s**4 - s**2 - 1/3*s**3.
-s**2*(s - 3)**2*(s + 1)/9
Let c(s) = -s**2 + 6*s + 3. Let m be c(6). Let o = m - 0. Determine f so that 14*f**4 - 21*f**3 + 6*f**2 + 0*f - o*f**3 + 4*f = 0.
-2/7, 0, 1
Let n(c) be the third derivative of c**6/60 - c**5/10 - 3*c**4/4 - 5*c**3/3 + 14*c**2. Suppose n(q) = 0. Calculate q.
-1, 5
Suppose 0 = g + 5*c - 7, g - 3*c - 3 = -4. Factor 6*d**2 - g*d - 4*d**2 - 4*d**2.
-2*d*(d + 1)
Let y(o) be the second derivative of -3*o**6/40 + 21*o**5/80 - o**4/3 + o**3/6 + o. What is c in y(c) = 0?
0, 2/3, 1
Let d(j) = -j**3 + 10*j**2 + 2. Let y be d(10). Suppose 2*q - 12 = -y*q. Solve l**2 - 4*l**2 + 2*l**3 + 4*l - q*l = 0.
0, 1/2, 1
Suppose 5*i - 6*q = -q - 5, 0 = 4*i - q - 11. Find o such that 0 + 0*o + 2/7*o**i - 4/7*o**2 - 2/7*o**3 = 0.
-1, 0, 2
Let y(f) be the third derivative of f**7/8820 - f**6/1260 + 5*f**4/24 + f**2. Let s(k) be the second derivative of y(k). Factor s(r).
2*r*(r - 2)/7
Let i(t) = 10*t**2 - 40*t + 40. Let v(h) = 2*h**2 - 8*h + 8. Let p(r) = -3*i(r) + 16*v(r). Factor p(z).
2*(z - 2)**2
Let q(n) be the first derivative of n**3/21 - n/7 - 8. Suppose q(g) = 0. What is g?
-1, 1
Let h be (4 - 64/12)*(-3)/5. Find q, given that -h*q - 2/5*q**2 - 2/5 = 0.
-1
Suppose -5*o - 80 = 2*j, 2*j - 3*j = -3*o - 37. Let g = o - -16. Find z, given that 0 - 10/9*z**g - 8/9*z**3 + 4/9*z + 2/3*z**4 = 0.
-1, 0, 1/3, 2
Suppose -58*y + 57*y = -4. Factor -15/2*x**y + 0 + 3*x**2 + 0*x - 9/2*x**3.
-3*x**2*(x + 1)*(5*x - 2)/2
Let b = -4 - -8. Let j be (-2)/(-4) + (-9)/(-2). What is n in -j*n**4 - 2*n**b + 5*n**4 = 0?
0
Let b(l) be the second derivative of -l**7/70 + 7*l**6/150 - l**5/20 + l**4/60 + 17*l. Determine w so that b(w) = 0.
0, 1/3, 1
Let v = 27 - 27. Let w(k) be the third derivative of 2/3*k**3 + 7/12*k**4 + 1/12*k**6 + v - 3*k**2 + 1/105*k**7 + 0*k + 3/10*k**5. Factor w(j).
2*(j + 1)**3*(j + 2)
Suppose -3*l - 5 = 1. Let w be (0 - 4)/(l/1). Find b, give