 a(y) = 0.
-1
Let v(p) be the second derivative of 0*p**2 + 0 + p + 1/16*p**4 + 1/56*p**7 - 1/40*p**6 - 3/80*p**5 + 0*p**3. Let v(z) = 0. Calculate z.
-1, 0, 1
Let t(s) be the second derivative of -s**7/21 + 4*s**6/15 - s**5/10 - 5*s**4/3 + 4*s**3/3 + 8*s**2 + 17*s. Solve t(m) = 0.
-1, 2
Let o(l) be the second derivative of -l**6/540 - 2*l**5/135 - 5*l**4/108 - 2*l**3/27 + 3*l**2/2 - l. Let j(s) be the first derivative of o(s). Factor j(d).
-2*(d + 1)**2*(d + 2)/9
Let l(n) be the third derivative of 1/168*n**8 + 0*n + 1/6*n**4 + 0*n**3 + 1/30*n**5 + n**2 - 1/20*n**6 + 0 - 1/105*n**7. Let l(b) = 0. Calculate b.
-1, 0, 1, 2
Factor 12*i - 41 - 40 + 4*i**2 + 89.
4*(i + 1)*(i + 2)
Let -6*y**2 - 17/4*y**3 - y**4 - 1/2 - 13/4*y = 0. What is y?
-2, -1, -1/4
Factor -1/4*i**4 + 1/2*i**3 + 3/4*i**2 - i - 1.
-(i - 2)**2*(i + 1)**2/4
Find y, given that -4*y**3 + 0*y**3 - 7*y**2 - 2*y**2 + y**2 = 0.
-2, 0
Let q = 2 + 1. Find t such that -q*t**2 + 2*t**2 - t + t = 0.
0
Let i(t) be the first derivative of 10 - 1/12*t**3 - 1/16*t**2 + 0*t - 1/32*t**4. Factor i(b).
-b*(b + 1)**2/8
Let d(w) be the first derivative of -w**4/36 + w**3/18 - 6*w - 4. Let r(y) be the first derivative of d(y). Factor r(q).
-q*(q - 1)/3
Let y be (78/215)/((-4)/(-5)). Let i = 2/43 + y. Find f such that f + 1/2*f**2 + i = 0.
-1
Let r(h) = 3*h**3 + 12*h**2 + 15*h + 6. Let w(t) = 15*t**3 + 60*t**2 + 75*t + 30. Let u(i) = 24*r(i) - 5*w(i). Factor u(j).
-3*(j + 1)**2*(j + 2)
Suppose -6 = 3*x - 9, -7 = -z - 5*x. Factor -2/7*k**z + 0*k + 8/7.
-2*(k - 2)*(k + 2)/7
Find g such that -19*g**2 + 54*g**2 - 405 - 23*g**2 - 90*g - 17*g**2 = 0.
-9
Let k(n) be the second derivative of -n**6/90 - n**5/12 - n**4/12 + 5*n**3/18 + 2*n**2/3 + 2*n - 24. What is i in k(i) = 0?
-4, -1, 1
Let o(x) = x**2 + 3*x - 7. Let d be o(-5). Suppose 0 = d*s - 6, 0 = 2*n + n + 5*s - 16. Factor 0 + 0*w + 2/3*w**n.
2*w**2/3
Let d(z) = -3*z**3 - z**2 + z - 6. Let l(r) = 4*r**3 + r**2 - r + 7. Let t(h) = 5*d(h) + 4*l(h). Let n be t(2). Factor -2*q - n*q**2 + 5*q**2 + 3*q.
q*(q + 1)
Factor -1/4 - 3*f - 11/2*f**2 - 49/4*f**4 + 21*f**3.
-(f - 1)**2*(7*f + 1)**2/4
Let m(d) = -d + 1. Let s(c) = c - 1. Let k(w) = -5*m(w) - 6*s(w). Let j be k(-3). Factor 3*p**4 + 16 - 5*p**j - 5*p + 10*p**3 - 3*p - 12*p**2.
-2*(p - 2)**3*(p + 1)
Let 3/4*m**2 + 0 + 3/4*m**3 + 1/4*m + 1/4*m**4 = 0. What is m?
-1, 0
Let k(b) be the third derivative of 0*b + 1/252*b**8 + 1/45*b**7 + 1/20*b**6 + 1/36*b**4 + 1/18*b**5 + 0*b**3 + 0 - 3*b**2. Factor k(x).
2*x*(x + 1)**3*(2*x + 1)/3
Let z be (-2 - -1)/((-1)/6). Let a be (10/4)/5*z. Factor 2/3*d**2 + 0 - 1/3*d**a - 1/3*d.
-d*(d - 1)**2/3
Let j(r) = r**2 + 1. Let t(h) = 3*h**2 - 22*h - 25. Let u(g) = 2*j(g) - t(g). Let s(m) = -21*m - 27. Let f(q) = -4*s(q) - 3*u(q). Find a, given that f(a) = 0.
-3
Let r(c) be the first derivative of -2*c + 3 + 1/3*c**3 - 1/2*c**2. Solve r(s) = 0.
-1, 2
Let k(p) be the third derivative of -p**6/160 - p**5/40 + p**4/32 + p**3/4 - 12*p**2. Solve k(x) = 0.
-2, -1, 1
Let z(b) be the first derivative of -b + 5 + 3/4*b**2 - 1/6*b**3. Factor z(j).
-(j - 2)*(j - 1)/2
Let m(a) be the first derivative of a**8/2520 - a**7/1260 - a**3/3 + 1. Let g(b) be the third derivative of m(b). Solve g(v) = 0.
0, 1
Factor 136/13*m + 8/13 + 578/13*m**2.
2*(17*m + 2)**2/13
Let o(l) be the first derivative of l**6/27 - 2*l**5/45 - l**4/18 + 2*l**3/27 - 5. Find h, given that o(h) = 0.
-1, 0, 1
Let r(g) be the first derivative of -2*g**5/5 + g**4/3 + 32*g**3/9 + 14*g**2/3 + 2*g + 1. Solve r(u) = 0.
-1, -1/3, 3
Let y = 6416/9 - 712. Find d such that -y + 16/9*d**3 + 50/9*d**2 - 14/3*d**4 - 16/9*d = 0.
-1, -2/7, 2/3, 1
Suppose 3*g + 6 = 3*s, 2*g - 20 = -2*s - 2*s. Determine h so that 2/3*h - 1/3*h**g - 1/3 = 0.
1
Let z(n) be the third derivative of 1/84*n**8 + 0*n**5 + 0*n**7 + 0*n - n**2 + 0 + 0*n**4 - 1/30*n**6 + 0*n**3. What is f in z(f) = 0?
-1, 0, 1
Let i be ((-18)/(-75))/(6/20). Let o be ((-9)/(-30))/(6/8). Factor i*u - 2/5 - o*u**2.
-2*(u - 1)**2/5
Let m(n) = -4*n**2 - n + 2. Let t(f) = -3*f**2 + 1. Let a be (-22)/8 - 2/8. Let k(q) = a*t(q) + 2*m(q). Factor k(c).
(c - 1)**2
Let y(q) be the first derivative of -6*q**5/35 - q**4/14 + 16*q**3/21 - 4*q**2/7 - 23. Find v, given that y(v) = 0.
-2, 0, 2/3, 1
Let y(s) = 2*s**2 - 12*s + 11. Let g be y(9). Solve 65 + 3*h**3 - g + 6*h**2 + 3*h + 0*h**3 = 0.
-1, 0
Let b(r) be the first derivative of -r**5/70 + r**4/14 - 4*r**2/7 + r - 5. Let k(q) be the first derivative of b(q). Find p, given that k(p) = 0.
-1, 2
Let n(g) be the third derivative of 1/70*g**7 + 0*g**5 + 0*g**3 + 0 + 1/40*g**6 + 0*g + 0*g**4 + g**2. Factor n(c).
3*c**3*(c + 1)
Let q(u) be the second derivative of -u**4/6 + 2*u**3/3 - u**2 - 10*u. Factor q(m).
-2*(m - 1)**2
Let f(a) be the second derivative of 4*a**6/15 + 4*a**5/15 - 7*a**4/12 + a**3/3 + 3*a**2/2 - 3*a. Let n(c) be the first derivative of f(c). Factor n(x).
2*(x + 1)*(4*x - 1)**2
Let s(l) be the third derivative of l**6/40 - 3*l**4/8 + l**3 + 21*l**2. Factor s(f).
3*(f - 1)**2*(f + 2)
Let s = -55 + 55. Factor 0*g + 1/4*g**2 + s.
g**2/4
Let j(f) be the first derivative of -2/3*f**3 - 1/10*f**5 - 1/2*f**4 + 2*f - 2 + 0*f**2. Let y(x) be the first derivative of j(x). Factor y(z).
-2*z*(z + 1)*(z + 2)
Let u = 129 - 129. Factor u + 4/9*l + 2/9*l**2.
2*l*(l + 2)/9
Suppose -5*m - m = 0. Factor s**2 + m*s**2 + 13 + 3 + 8*s.
(s + 4)**2
Let a(w) = 2*w**5 - 10*w**4 + 4*w**2 - 2*w. Let j(x) = 2*x**5 - 9*x**4 + 4*x**2 - 2*x. Let u(y) = 5*a(y) - 6*j(y). Solve u(z) = 0 for z.
-1, 0, 1
Let p be (-1)/(-3) + 4012/600 + -7. Let r(c) be the second derivative of 2/5*c**2 - 2*c + 0 + 2/15*c**4 + 1/3*c**3 + p*c**5. Factor r(g).
2*(g + 1)**2*(g + 2)/5
Factor -1/2*k**4 - k - 1/4*k**5 + k**2 + 3/4*k**3 + 0.
-k*(k - 1)**2*(k + 2)**2/4
Let n(x) be the third derivative of x**8/20160 + x**7/1260 + x**6/180 - 7*x**5/60 - 7*x**2. Let j(s) be the third derivative of n(s). Let j(a) = 0. What is a?
-2
Let n(a) = -a. Let g be n(0). Factor -24 - 7*y**3 - 36*y + 54*y**2 - 8*y**3 + g*y**2.
-3*(y - 2)**2*(5*y + 2)
Let b be (0 - (-5)/165)/(8/96). Let -2/11*x**3 - b*x**2 + 4/11 + 2/11*x = 0. What is x?
-2, -1, 1
Find u, given that 3*u**3 - 3*u - 7*u**2 + 8*u + 19*u**2 + 7*u = 0.
-2, 0
Let 1/4*n**3 - 1/2 - 1/4*n + 1/2*n**2 = 0. Calculate n.
-2, -1, 1
Determine i so that 0*i + 0 - 4/9*i**2 - 2/9*i**3 = 0.
-2, 0
Let c = -14 + 5. Let q = c + 11. Let -4/3*m - 2/3*m**q - 2/3 = 0. Calculate m.
-1
Suppose -8 = -o + 3*o. Let l be ((-9)/(-5))/(o/(-5)). Determine q so that -l*q**4 + 2*q**2 - 3/2*q + 1/4 + 1/2*q**3 + q**5 = 0.
-1, 1/4, 1
Suppose -76*s + 15 = -71*s. Let h(m) be the first derivative of 4 - 1/6*m**4 - 1/15*m**5 + 0*m**s + 1/3*m + 1/3*m**2. Factor h(a).
-(a - 1)*(a + 1)**3/3
Suppose 12/17*y**2 + 2/17*y - 4/17*y**3 - 6/17*y**4 + 2/17*y**5 - 6/17 = 0. Calculate y.
-1, 1, 3
Let y(t) = -t - 3. Let f be y(-6). Factor 3*z**f - 7*z**3 + z**4 - 2*z**2 - 6*z**4 + 3*z**4.
-2*z**2*(z + 1)**2
Let a(n) be the second derivative of n**6/1080 + n**5/360 - n**4/36 - n**3/6 - 5*n. Let i(d) be the second derivative of a(d). Factor i(f).
(f - 1)*(f + 2)/3
Let o(f) be the first derivative of 0*f - 4/15*f**3 + 7 + 1/10*f**4 + 0*f**2. Factor o(x).
2*x**2*(x - 2)/5
Let l(x) = x**3 + 9*x**2 + 3. Let k be l(-9). Suppose 2*d**3 - 3*d**2 + 2*d**k + 40*d**5 - 26*d**4 + 3*d**2 = 0. What is d?
0, 1/4, 2/5
Let -4*y**5 + 2048/7 - 6400/7*y**2 - 5120/7*y - 2560/7*y**3 - 440/7*y**4 = 0. What is y?
-4, 2/7
Let x be ((-2)/(-36))/(2/6). Let t = 5/42 + x. Solve -t*r**4 + 0 - 6/7*r**2 - 2/7*r - 6/7*r**3 = 0 for r.
-1, 0
Let k(p) be the second derivative of 2*p**5/75 - p**4/20 - p**3/15 + 3*p**2/2 - 2*p. Let l(c) be the first derivative of k(c). Factor l(y).
2*(y - 1)*(4*y + 1)/5
Find a, given that 5/3*a**3 + 10/3 + 25/3*a + 20/3*a**2 = 0.
-2, -1
Determine g, given that g + 3/4*g**5 + 0 + g**4 - g**2 - 7/4*g**3 = 0.
-2, -1, 0, 2/3, 1
Let s = -5 - -9. Let t(u) be the third derivative of 0*u**3 - 1/60*u**s + 1/100*u**6 + 3*u**2 + 0 + 0*u + 1/75*u**5. Suppose t(o) = 0. Calculate o.
-1, 0, 1/3
Let m be 10/35 + 19/7. Suppose s - m*s + 10 = 0. Let -3 - s - 31*t**2 - 19*t**2 + 40*t = 0. What is t?
2/5
Let b(t) be the third derivative of t**7/70 + t**6/12 + 37*t**5/180 + 5*t**4/18 + 2*t**3/9 + 22*t**2. Determine w, giv