or g(y).
(y - 2)**2*(y - 1)**3
Let c(m) be the second derivative of -3*m**5/20 - m**4/2 - 17*m. Determine u so that c(u) = 0.
-2, 0
Let n(q) be the second derivative of -q**7/168 + q**6/40 - q**5/80 - q**4/16 + q**3/12 - 22*q. Find v such that n(v) = 0.
-1, 0, 1, 2
Let x be 17/(-4) - 1/(-4). Let u = -2 - x. Let -g**u - 2*g**3 + 5*g - g**4 - 5*g = 0. What is g?
-1, 0
Let p(v) be the second derivative of -1/1260*v**6 + 0*v**2 - 1/6*v**3 - v + 0*v**4 + 0 + 1/420*v**5. Let w(z) be the second derivative of p(z). Factor w(j).
-2*j*(j - 1)/7
Let x(i) be the first derivative of -3*i**4/16 + 3*i**2/8 + 12. Factor x(v).
-3*v*(v - 1)*(v + 1)/4
What is l in -2*l**2 + 2*l**2 - 5*l**2 + 2*l**2 + 9*l = 0?
0, 3
Solve -8*v - v**2 + 4*v**3 + 5*v**2 - 16 + 5*v**3 - 7*v**3 = 0.
-2, 2
Suppose 0*w**2 + 11 - w**2 - 12*w + 4 - 2*w**2 = 0. What is w?
-5, 1
Let r(d) be the third derivative of -d**7/945 + d**6/540 + d**5/90 - 5*d**4/108 + 2*d**3/27 + d**2. Factor r(x).
-2*(x - 1)**3*(x + 2)/9
Let b = -92 + 96. Suppose 3/5*v**b - 3/5*v**3 + 0 + 0*v - 6/5*v**2 = 0. What is v?
-1, 0, 2
Let p be (1*-1)/(3/(-6)). Suppose 3*d + 13 - 2 = h, 4*h - 34 = p*d. Find c such that 1 - h*c**4 - 7*c**3 - 1 + 9*c**3 = 0.
0, 1/4
Let s be (3/(-4) - 21/(-28)) + 2. Solve 0*q**3 - 2/9*q**4 - 2/9 + 0*q + 4/9*q**s = 0.
-1, 1
Determine u, given that -8*u**3 + 3*u**4 + 0*u**2 - 8*u**3 + 4*u**4 + 4*u**2 = 0.
0, 2/7, 2
What is v in 30/7*v**2 + 250/7 + 150/7*v + 2/7*v**3 = 0?
-5
Let g(a) = -18*a**3 - 28*a**2 - 3*a + 7. Let x(u) = -35*u**3 - 57*u**2 - 5*u + 13. Let h(t) = -5*g(t) + 3*x(t). Find p, given that h(p) = 0.
-2, -2/5, 1/3
Determine l, given that -1/7*l**3 + 1/7*l**2 + 1/7*l - 1/7*l**4 + 0 = 0.
-1, 0, 1
Suppose 2*u = -j - 1, -3*u + 3*j = -6*u - 6. Let r be (u/2)/(30/20). Solve 1/3*d**2 + 1/3*d - 1/3*d**3 - r = 0 for d.
-1, 1
Suppose 3 = 4*d - 3*z, -2*d - 2*z - 3*z + 21 = 0. Factor 3*j**4 - 7*j**2 + 5*j**4 + j**2 - 2*j**4 + 3*j - d*j**5.
-3*j*(j - 1)**3*(j + 1)
Let m(f) = -4*f**2 - 2*f. Let j(q) = -q**4 - 13*q**2 - 7*q. Let v(t) = -4*j(t) + 14*m(t). Factor v(s).
4*s**2*(s - 1)*(s + 1)
Let 32/3 - 4/3*a**4 - 16*a + 4*a**3 + 8/3*a**2 = 0. What is a?
-2, 1, 2
Suppose 52*z = 47*z. Factor -2/9*n**2 + z*n + 4/9*n**3 - 2/9*n**4 + 0.
-2*n**2*(n - 1)**2/9
Let c(m) be the first derivative of -2*m**5/5 - m**4 - 2*m - 3. Let q(d) = -d**2 + 1. Let l be -2*1 - (-1)/1. Let v(y) = l*c(y) - 2*q(y). Factor v(a).
2*a**2*(a + 1)**2
Suppose 0 = r - 0*r. Factor r - 2*d**2 + 6*d + 3 + 5*d**2.
3*(d + 1)**2
Let o(k) be the second derivative of k**7/2520 - k**6/120 + 3*k**5/40 - 2*k**4/3 - 5*k. Let d(y) be the third derivative of o(y). Suppose d(l) = 0. Calculate l.
3
Let y(p) = p**5 + 5*p**4 - 3*p**3 + 3*p + 3. Let r(j) = -4*j**4 + 2*j**3 - 2*j - 2. Let a(x) = 3*r(x) + 2*y(x). Solve a(t) = 0.
0, 1
Let t(y) be the third derivative of -y**5/75 + 4*y**4/15 - 32*y**3/15 - 45*y**2. Factor t(z).
-4*(z - 4)**2/5
What is c in 7*c - c - 10*c + 4*c**2 - 24 = 0?
-2, 3
Let s(z) = -3*z - 4. Let m be s(-2). Factor 0 + 3*x + 3/2*x**m.
3*x*(x + 2)/2
Factor 4/13*m - 2/13*m**2 - 2/13*m**3 + 0.
-2*m*(m - 1)*(m + 2)/13
Let u(c) be the first derivative of -c**5/35 + c**3/7 - c**2/7 + 43. Let u(o) = 0. What is o?
-2, 0, 1
Let g(h) = -h**3 - 3*h**2 + 3*h - 4. Let d be g(-4). Determine f so that d*f + 1/2*f**2 + 0 + 1/2*f**4 + f**3 = 0.
-1, 0
Let c(v) be the first derivative of v**5/180 - v**3/18 - v**2 + 1. Let m(z) be the second derivative of c(z). Factor m(d).
(d - 1)*(d + 1)/3
Suppose 0 = y - 0*y - 3. Let c = y - -1. Factor -2*j**5 - j**4 - 4*j**3 + 4*j**5 - j**4 + c*j**5.
2*j**3*(j - 1)*(3*j + 2)
Let y be 164/(-10) + 8/20. Let s be y/14*5/(-10). Find j, given that 22/7*j + s - 40/7*j**3 + 2*j**2 = 0.
-2/5, -1/4, 1
Let n(d) be the second derivative of -d**8/6720 - d**7/504 - d**6/240 + 3*d**5/40 + d**4/3 + 6*d. Let r(p) be the third derivative of n(p). Factor r(j).
-(j - 1)*(j + 3)**2
Suppose 0 = 5*x + 3 + 7. Let b be (-5)/x + -2 + 0. Factor -5/4*l + b + 3/4*l**2.
(l - 1)*(3*l - 2)/4
Let m = 221 - 218. Determine i so that 0 + 0*i + 1/4*i**m - 1/4*i**2 = 0.
0, 1
Let u(f) be the second derivative of -f**4/12 - 3*f**3 - 81*f**2/2 - 19*f. What is q in u(q) = 0?
-9
Let z be (-6)/1764*-86 + (-2)/7. Let q(w) be the second derivative of -2*w + 0*w**4 + 0*w**5 + 0*w**2 - z*w**7 + 0*w**3 + 0 + 1/105*w**6. Factor q(s).
-2*s**4*(s - 1)/7
Let r(x) be the second derivative of 0*x**2 + 1/30*x**4 + 0 + 1/15*x**3 + x. Find t, given that r(t) = 0.
-1, 0
Let j(g) = g + 7. Let l be j(-7). Find f such that -6*f**2 + 7*f**2 + f**2 + l + 4 - 6*f = 0.
1, 2
Let a be (-12 - -11)/((-1)/5). Determine l, given that 4*l**2 + a + 0 + 27*l + 11*l**2 - 27*l**3 - 21*l**4 + 1 = 0.
-1, -2/7, 1
Let d be (-8)/20 + 4/10. Let t(g) be the first derivative of 1 - 1/3*g**2 + d*g - 1/6*g**4 + 4/9*g**3. Let t(p) = 0. Calculate p.
0, 1
Let y(p) be the third derivative of p**6/240 + p**5/40 + p**4/16 + p**3/6 + 2*p**2. Let x(c) be the first derivative of y(c). Factor x(v).
3*(v + 1)**2/2
Let k(c) be the third derivative of -c**8/728 + 16*c**7/1365 - 8*c**6/195 + c**5/13 - c**4/12 + 2*c**3/39 - 28*c**2. Solve k(r) = 0 for r.
1/3, 1, 2
Let h be 168/44 + (-4)/(-22). Let 4*g + g**h - 4*g + 3*g**4 + 6*g**3 - 4*g**2 - 6*g**5 = 0. What is g?
-1, 0, 2/3, 1
Suppose 4*b - 3*j = 31, -4*b + 3*j + 11 = 4*j. Let o(v) = -v**3 - 2*v**2 + 3*v. Let f(h) = -h**3 - 3*h**2 + 4*h. Let c(g) = b*f(g) - 5*o(g). Factor c(s).
s*(s - 1)**2
Let z(d) be the first derivative of d**2 + 2 - 1/105*d**6 + 1/84*d**4 + 0*d**3 + 1/70*d**5 + 0*d. Let p(q) be the second derivative of z(q). Solve p(c) = 0.
-1/4, 0, 1
Let v = -3/233 - -977/3495. Find o such that v + 2/15*o - 4/15*o**2 - 2/15*o**3 = 0.
-2, -1, 1
Solve 0 - 27/8*w**2 - 3/8*w**4 + 3/2*w + 9/4*w**3 = 0 for w.
0, 1, 4
Suppose -11 = -3*l - 5. Let r(y) be the third derivative of -1/180*y**5 - 3*y**l + 1/60*y**6 + 0*y**3 - 1/70*y**7 + 0*y + 0*y**4 + 0. Factor r(k).
-k**2*(3*k - 1)**2/3
Let j(i) be the third derivative of -2*i**7/735 + i**6/105 - i**5/105 - 14*i**2. Let j(r) = 0. Calculate r.
0, 1
Let r(h) be the second derivative of h**6/10 - 9*h**5/20 - 8*h. Find b such that r(b) = 0.
0, 3
Suppose 8/3*o**3 - 44/9*o**2 - 2/9*o**4 - 98/9 - 56/3*o = 0. What is o?
-1, 7
Let d(a) = 2*a**2 + 8*a + 8. Let s(k) = -40 - 29*k + k**2 - 11*k**2 - 11*k. Let j = -6 - -20. Let n(p) = j*d(p) + 3*s(p). What is l in n(l) = 0?
-2
Solve -7/3*m**3 + m**2 + 2/3 - 5/3*m**4 + 7/3*m = 0.
-1, -2/5, 1
Let c be (-4 - 0)/(16/(-8)). Solve 2*h**4 - 3*h**4 + 6*h**2 - 5*h**c = 0 for h.
-1, 0, 1
Suppose 0 = -y + 4, 5*h - 8 = 2*y - 1. Let a(p) be the second derivative of 2*p - 2*p**2 - 13/12*p**4 + 3/10*p**5 - 1/30*p**6 + 0 + 2*p**h. Factor a(q).
-(q - 2)**2*(q - 1)**2
Let u(i) be the first derivative of 2*i**3/3 + 2*i**2 + 2*i - 1. Factor u(j).
2*(j + 1)**2
Let p(j) be the first derivative of -7*j**6/8 - 3*j**5/4 + 27*j**4/16 + 5*j**3/4 - 3*j**2/4 - 18. Find u such that p(u) = 0.
-1, 0, 2/7, 1
Let o be (5/(-15))/((-2)/(-24)). Let z be (o/(-5))/4*1. Find r such that 1/5*r**2 - 1/5*r**3 + 1/5*r - z = 0.
-1, 1
Solve 0 - 4*w**5 - 20*w**3 + 12*w**2 + 44/3*w**4 - 8/3*w = 0.
0, 2/3, 1
Let j(h) = 23*h**3 + 7*h**2 + 17*h + 17. Let n(d) = -4*d**3 - d**2 - 3*d - 3. Let l(m) = 6*j(m) + 34*n(m). Find g such that l(g) = 0.
-4, 0
Let h = -21671/42 + 516. Let p(n) be the second derivative of 0*n**2 - h*n**7 - 2/15*n**6 + 2*n + 0 - 1/3*n**4 - 1/6*n**3 - 3/10*n**5. Factor p(r).
-r*(r + 1)**4
Let b be 12 + -8 - (-5 + 1). Factor 9*p**3 - b*p**2 - 5*p**3 + 9*p**3 + 7*p**3.
4*p**2*(5*p - 2)
Let v = -1469/36 + 165/4. Let i = 147 + -145. What is f in v - 2/9*f + 2/9*f**3 - 4/9*f**i = 0?
-1, 1, 2
Suppose -61 = -5*t + 29. Suppose 4*b + 3*q - 13 = t, 0 = 5*b - 4*q. Determine w so that -w**2 + w**3 - 2*w**4 + w**b + 2*w**4 - w = 0.
-1, 0, 1
Let o(c) be the third derivative of c**5/54 + 2*c**4/27 - 4*c**3/27 - 58*c**2. Find d, given that o(d) = 0.
-2, 2/5
Let k(z) be the third derivative of 0 + 0*z + 3*z**2 + 1/3*z**3 - 3/20*z**5 - 7/24*z**4. Factor k(h).
-(h + 1)*(9*h - 2)
Let q(y) be the first derivative of y**7/840 - y**5/40 - y**4/12 - y**3/3 - 1. Let a(c) be the third derivative of q(c). Find u such that a(u) = 0.
-1, 2
Factor 1/3*n**3 + 0 + 0*n - 1/3*n**4 - 1/3*n**5 + 1/3*n**2.
-n**2*(n - 1)*(n + 1)**2/3
Let i = 6/55