of 2*v**7/105 + 2*v**6/15 + v**5/5 - 2*v**4/3 - 8*v**3/3 + 4*v**2. Factor d(h).
4*(h - 1)*(h + 1)*(h + 2)**2
Let g(i) = -11*i**2 + 19*i + 7. Let l(x) = -34*x**2 + 58*x + 20. Let n(r) = 16*g(r) - 5*l(r). Determine b, given that n(b) = 0.
-2/3, 3
Let w be 46/8 - (-18)/(-24). Find h, given that 13*h**2 - 4*h + 7*h**5 - 12*h**3 - 13*h**4 + 2*h - 6*h**3 + 13*h**w = 0.
-1, 0, 1/4, 2/5, 1
Let u(n) be the second derivative of 2*n**6/105 + 11*n**5/70 + 2*n**4/7 - n**3/21 - 4*n**2/7 - 8*n. Determine h, given that u(h) = 0.
-4, -1, 1/2
Suppose -4*k = -4*g, 0 = 4*g - 3*k + 5*k - 12. Let n(u) be the first derivative of 0*u**3 + 0*u**4 + 0*u**g + 2/45*u**5 + 3 + 0*u. Solve n(o) = 0 for o.
0
Suppose -m = -4, 9 - 1 = -2*g + 3*m. Let w be 4*3*g/12. Factor -2*t**5 + t**5 - 6*t**4 - 3*t**3 - 8*t**w - 9*t**3.
-t**2*(t + 2)**3
Suppose 0 = -5*q + 6*q - 3. Find z such that -z**3 + q*z**5 + 0*z**4 + 6*z**2 - 6*z**4 - 2*z**3 = 0.
-1, 0, 1, 2
Suppose -3*r + 19 + 37 = 4*v, -2*v = -4*r + 38. Let x = r - 12. Let 1/5*a**3 + 1/5*a + x + 2/5*a**2 = 0. What is a?
-1, 0
Let h(f) be the second derivative of f**7/2205 - f**6/2520 - f**4/6 + 2*f. Let r(t) be the third derivative of h(t). Factor r(v).
2*v*(4*v - 1)/7
Let u(c) be the second derivative of -c**5/24 + 5*c**4/72 + 5*c**3/9 - 5*c**2/3 + c + 8. What is g in u(g) = 0?
-2, 1, 2
Let n(y) be the first derivative of 0*y**3 + 0*y**5 - 1/6*y**4 + 1 + 0*y + 1/6*y**2 + 1/18*y**6. Determine h, given that n(h) = 0.
-1, 0, 1
Let s(y) be the third derivative of -y**6/24 + y**5/6 - 5*y**4/24 + 10*y**2. Factor s(g).
-5*g*(g - 1)**2
Suppose -2*c - 5 + 7 = 0. Let m(d) be the first derivative of -8/15*d**3 + 0*d + 13/5*d**4 + 0*d**2 - 102/25*d**5 + c + 21/10*d**6. Factor m(z).
z**2*(3*z - 2)**2*(7*z - 2)/5
Let o be 10/15 + 1/3. Suppose -5 = -3*w + o. Solve w*x - 2*x**2 + x**2 + 0*x**2 = 0.
0, 2
Let y be 1/18*(8 + -6). Let f(v) be the second derivative of -y*v**3 + 0 + 2*v + 1/18*v**4 - 1/3*v**2 + 1/30*v**5. Factor f(u).
2*(u - 1)*(u + 1)**2/3
Suppose -6/19*c**3 + 0 + 2/19*c**5 + 10/19*c**2 - 4/19*c - 2/19*c**4 = 0. Calculate c.
-2, 0, 1
Let t be (-4)/(-16) - 6/25. Let d(j) be the second derivative of 0 + t*j**5 - 2*j - 4/5*j**2 + 2/5*j**3 - 1/10*j**4. Factor d(l).
(l - 2)**3/5
Let m = 14 + -9. Suppose 2*x = m*k - 11, 3*k - x + 7 = 14. Factor -1/2*h**3 + 4 + k*h**2 - 6*h.
-(h - 2)**3/2
Let q(z) be the second derivative of -z**4/3 + 4*z**3/3 - 2*z**2 - z - 5. Suppose q(l) = 0. What is l?
1
Let x(f) be the third derivative of -f**5/420 - f**4/56 + 2*f**3/21 - 11*f**2. Determine t so that x(t) = 0.
-4, 1
Determine o so that -24/5*o - 3/5*o**3 - 3*o**2 - 12/5 = 0.
-2, -1
Factor 13*r**2 + r**3 + 28*r + 2*r**2 + 125 + 47*r.
(r + 5)**3
Let 0 + 2/9*a**2 + 2/3*a = 0. Calculate a.
-3, 0
Let o(k) be the second derivative of -k**7/105 + 4*k**6/75 - k**5/50 - k**4/3 + 4*k**3/15 + 8*k**2/5 - 29*k. Factor o(d).
-2*(d - 2)**3*(d + 1)**2/5
Let k(g) be the first derivative of g**6/540 - g**4/108 - 3*g**2/2 + 2. Let o(v) be the second derivative of k(v). Find n, given that o(n) = 0.
-1, 0, 1
Suppose 3*d = -d + 20. Let g(u) be the second derivative of -1/8*u**2 - 1/6*u**3 + 0 - 1/8*u**4 - 1/120*u**6 + 3*u - 1/20*u**d. Determine c so that g(c) = 0.
-1
Let a(l) = -l**2 - 3*l - 1. Let s be a(-4). Let w(c) = -c - 1. Let k be w(s). Find v such that 4*v**2 - 6*v**5 + 16*v**k + 5 + 0 - 5 - 14*v**3 = 0.
0, 2/3, 1
Let a be 69/(-180) - ((-16)/20)/2. Let c(d) be the third derivative of 0 - a*d**6 + 1/6*d**4 + 0*d**3 + d**2 - 1/30*d**5 + 0*d. Solve c(h) = 0.
-2, 0, 1
Suppose 7*v - v - v = 0. Let d(l) be the third derivative of 7/75*l**6 - 1/60*l**4 + 0*l + l**2 + 2/15*l**3 - 2/15*l**5 + v. Factor d(a).
2*(2*a - 1)**2*(7*a + 2)/5
Factor -l**2 + 0 - 1/4*l**3 - 3/4*l.
-l*(l + 1)*(l + 3)/4
Let q be (4 + -1)*(-2)/(-20). Let s(p) be the first derivative of 3/4*p**2 + 1/3*p**3 - 1/4*p**4 - 1/12*p**6 + 1 - q*p**5 + 1/2*p. What is r in s(r) = 0?
-1, 1
Suppose -1/9*o**3 + 0 - 1/9*o**4 + 1/9*o + 1/9*o**2 = 0. Calculate o.
-1, 0, 1
Factor -8*b**4 + 2*b**3 + 6*b**4 - 2*b**2 - 2*b**5 + 4*b**4.
-2*b**2*(b - 1)**2*(b + 1)
Let a(s) be the second derivative of s**9/136080 - s**8/30240 + s**7/22680 + s**4/6 - 4*s. Let x(c) be the third derivative of a(c). Factor x(r).
r**2*(r - 1)**2/9
Let o(j) be the second derivative of -1/5*j**5 + 0 + 3/2*j**2 - 1/30*j**6 + 2/3*j**3 - 1/6*j**4 - 4*j. Solve o(m) = 0.
-3, -1, 1
Let f(d) = d**3 - 11*d**2 + d - 9. Let j be f(11). Let k(i) be the second derivative of 1/12*i**3 - 1/48*i**4 + 0 - 1/8*i**j + i. Find m such that k(m) = 0.
1
Factor 10*s**2 - 8*s - 14*s**2 + 8*s**2 + 4*s**3.
4*s*(s - 1)*(s + 2)
Let l be 2/(-3) - 11/(-3). Factor -l - 1 - 8*w**2 - 8*w - 2*w - 2*w**3.
-2*(w + 1)**2*(w + 2)
Let n(t) be the third derivative of 0*t + 1/72*t**4 + 1/180*t**5 + 0*t**3 + 0 - 2*t**2. Determine x so that n(x) = 0.
-1, 0
Let h be 9/(108/40) - (-2)/(-2). Determine l, given that 0*l + 0 + h*l**4 - 2/3*l**3 - 5/3*l**5 + 0*l**2 = 0.
0, 2/5, 1
Let z(u) = -10*u**2 - 3*u + 13. Let v(h) = 3*h**2 + h - 4. Let l(j) = 7*v(j) + 2*z(j). Factor l(k).
(k - 1)*(k + 2)
Let x(i) = 10*i + 0 - 15*i**3 - 21*i**4 + 14*i**2 - 11 + 13*i**2. Let t(o) = 18 - 6 - 11 + o. Let l(g) = -5*t(g) - x(g). Factor l(z).
3*(z - 1)*(z + 1)**2*(7*z - 2)
Let z(t) be the third derivative of -t**5/210 + t**4/7 - 12*t**3/7 + 5*t**2. Factor z(i).
-2*(i - 6)**2/7
Find h such that -4*h**4 - 8373*h**3 - 36*h**2 + 8401*h**3 - 4 - 4*h**4 + 20*h = 0.
1/2, 1
Let y = 144 - 141. Let g(d) be the second derivative of 0 - 1/15*d**6 - 1/5*d**5 + 0*d**4 + 4*d + 0*d**y + 0*d**2. Solve g(q) = 0 for q.
-2, 0
Let p(r) = r**3 + 10*r**2 - 11*r + 3. Let q be p(-11). Let t(k) be the first derivative of 1/9*k**q - 1 - 1/6*k**2 + 0*k. Let t(i) = 0. Calculate i.
0, 1
Let s(c) = c**2 - 6*c - 13. Let h be s(8). Let 0*l**2 + 0*l + 0 - 2/9*l**h = 0. What is l?
0
Let w = 10 + -6. Factor 2*h**5 + 0*h**4 - 4*h**w + 2*h**4.
2*h**4*(h - 1)
Let 31/5*s**3 - 3*s**4 - 3/5*s + 2/5 - 3*s**2 = 0. Calculate s.
-1/3, 2/5, 1
Determine q, given that 0*q - 2/5*q**5 - 6/5*q**3 - 2/5*q**2 + 0 - 6/5*q**4 = 0.
-1, 0
Let n(d) be the first derivative of -d**7/560 + d**6/240 + d**5/40 - d**3 + 3. Let x(r) be the third derivative of n(r). Factor x(w).
-3*w*(w - 2)*(w + 1)/2
Let h(m) be the third derivative of 0*m - 1/1344*m**8 - 1/210*m**7 - 2*m**2 - 1/60*m**5 - 1/80*m**6 - 1/96*m**4 + 0*m**3 + 0. Suppose h(t) = 0. What is t?
-1, 0
Let y(w) be the second derivative of w**7/21 + 11*w**6/15 + 43*w**5/10 + 73*w**4/6 + 56*w**3/3 + 16*w**2 + 12*w. Factor y(p).
2*(p + 1)**3*(p + 4)**2
Let j = -10 - 1. Let w = 13 + j. Find u, given that 2/7*u**w - 4/7*u + 2/7 = 0.
1
Let y(m) be the first derivative of -5/6*m**4 - 4 - 4/3*m**2 + 0*m - 2/15*m**5 - 16/9*m**3. Determine k, given that y(k) = 0.
-2, -1, 0
Find g, given that -9/5*g**3 + 0 - 24/5*g**2 - 12/5*g = 0.
-2, -2/3, 0
Let i be 8/10*(-5)/(-2). Let g(k) be the second derivative of 1/2*k**2 + 1/30*k**6 + 1/2*k**4 + 2/3*k**3 + 0 + 1/5*k**5 + i*k. Let g(a) = 0. Calculate a.
-1
Let y(t) be the first derivative of 3*t**4/28 + 4*t**3/21 - t**2/14 - 2*t/7 + 14. Find j, given that y(j) = 0.
-1, 2/3
Determine c, given that -5/7*c**4 + 2/7*c - 9/7*c**2 + 0 + 12/7*c**3 = 0.
0, 2/5, 1
Let j(f) be the first derivative of f**6/60 + f**5/10 + f**4/4 + f**3/3 - f**2 + 3. Let w(g) be the second derivative of j(g). Find k, given that w(k) = 0.
-1
Let g = -4 + 6. Suppose g*k = -2*k + 8. Let 4*h - 3 + 3 + 0*h + 2 + 2*h**k = 0. What is h?
-1
Determine f so that 4*f**2 + 12*f + 36 - 2*f + 14*f = 0.
-3
Let n = 961/10 + -96. Let y(u) be the second derivative of 1/56*u**7 + 9/40*u**5 + 4*u + 1/8*u**3 + 0*u**2 + n*u**6 + 0 + 1/4*u**4. Factor y(w).
3*w*(w + 1)**4/4
Let i(b) = b**3 - 6*b**2 + 5*b + 2. Let p be i(5). Let c(s) = s**2 - s. Let z be c(-1). Factor 0*l - p*l + l**2 + 7*l**z + 4*l.
2*l*(4*l + 1)
Let y = 46 - 136/3. Let k be 2 + -3 + 15/9. Factor 0 + 5/3*f**2 - 5/3*f**4 - y*f + k*f**3.
-f*(f - 1)*(f + 1)*(5*f - 2)/3
Find r such that 0*r + 3*r**4 - 15/2*r**5 + 15/2*r**3 + 0 - 3*r**2 = 0.
-1, 0, 2/5, 1
Let b be (8/(-72))/((-1)/3). Factor 0 - b*h**2 - 1/3*h.
-h*(h + 1)/3
Let g = -2/19 + 48/95. Suppose -2*u + b + 3 = -7, 2*u = 3*b + 14. Suppose -2/5*d**2 + 0 + 2/5*d + g*d**u - 2/5*d**3 = 0. Calculate d.
-1, 0, 1
Find g, given that g