*y**2 - u - 8/7*y**3 - 2/7*y**4 - 8/7*y = 0. What is y?
-1
Let z(i) be the first derivative of -2*i**3/39 + 2*i/13 + 3. Let z(v) = 0. What is v?
-1, 1
Let b(x) be the second derivative of -25*x**7/56 - 29*x**6/8 - 57*x**5/5 - 35*x**4/2 - 14*x**3 - 6*x**2 + 22*x. Determine c so that b(c) = 0.
-2, -1, -2/5
Let s be (-2)/7 - 771/(-2625). Let q = s - -49/125. Solve -2/5*d**3 - q*d**2 + 0 + 2/5*d**4 + 2/5*d = 0 for d.
-1, 0, 1
Let y = 6 - 9. Let i be (-1)/(-2) - y/2. Determine f so that -6/5*f + 2/5*f**3 + 4/5 + 0*f**i = 0.
-2, 1
Let z(a) = 3*a + 11. Let k be z(9). Find l such that 0*l**4 + 9*l**5 - 36*l**2 - 3*l - k*l**3 + 8*l**3 + 6*l**4 + 6 = 0.
-1, 1/3, 2
Factor 3*k**4 - 2*k**2 - 8*k**4 - k**4 - 8*k**3.
-2*k**2*(k + 1)*(3*k + 1)
Let k(r) = -1. Let g(h) be the second derivative of -h**6/15 - 3*h**2/2 - h. Let i(z) = z**2 + 2*z + 3. Let w be i(-2). Let f(c) = w*k(c) - g(c). Factor f(t).
2*t**4
Let w be (-4)/8 + (-3)/(-2). Factor 7 - 5*k - w + 3*k**2 - 4.
(k - 1)*(3*k - 2)
Let x(j) = j**2 + 5*j - 12. Let f be x(-6). Let w(m) = m**3 + 6*m**2 + m + 7. Let k be w(f). Suppose -3/2*l - k - 1/2*l**2 = 0. Calculate l.
-2, -1
Suppose 5*i + 27 = 387. Let x be 16/i - (-2)/(-9). Suppose -1/4*t**3 + 1/2*t**5 + 0 + x*t**2 + 1/4*t**4 + 0*t = 0. What is t?
-1, 0, 1/2
Suppose -9/2*d - 3/2*d**4 + 15/2*d**2 - 6 + 9/2*d**3 = 0. What is d?
-1, 1, 4
Suppose 3 + 1 = 4*j. Suppose -5*l - j = -4*l, -4 = 3*t + 4*l. Let -1/3*f - 2/3*f**2 + t = 0. Calculate f.
-1/2, 0
Suppose h + 4*l = 20, -12 = -4*h - 4*l + 8. Let t be 1 + h - (-1 - 1). Factor 5*p**t - 3*p**3 - 2*p + 1 + 0 - p**4.
-(p - 1)**3*(p + 1)
Suppose 0 = -3*w - 2*g + 20, 3*w - 6*g + 8 = -g. Let o(h) be the first derivative of 4 + 9/4*h**2 + 5/8*h**w + 2*h**3 + h. Factor o(j).
(j + 1)**2*(5*j + 2)/2
Let t(z) be the third derivative of 0 + 0*z + 2/9*z**3 + 5*z**2 + 1/12*z**4 + 1/90*z**5. Factor t(l).
2*(l + 1)*(l + 2)/3
Let b be 6/2 + 0/2. Let h(i) be the first derivative of 0*i - 1/2*i**4 - 2/3*i**b - 2 + 0*i**2. Suppose h(u) = 0. What is u?
-1, 0
Let f(w) = -w**3 + w**2 - 3*w - 3. Let l(b) = -b**3 + b**2 - 5*b - 5. Let y(c) = -5*f(c) + 3*l(c). Solve y(h) = 0.
0, 1
Let o(i) be the second derivative of -i**8/420 - i**7/84 - i**6/60 + i**5/60 + i**4/12 - i**3/3 - 3*i. Let f(a) be the second derivative of o(a). Factor f(h).
-2*(h + 1)**3*(2*h - 1)
Let q be (1 + (-2)/(-4))/9. Let a(t) be the second derivative of t + 0 - 1/12*t**4 + 0*t**2 + q*t**3. Determine b so that a(b) = 0.
0, 1
Let x(o) be the third derivative of o**9/151200 - o**8/50400 - o**5/60 - o**2. Let y(f) be the third derivative of x(f). Solve y(u) = 0.
0, 1
Suppose 0 = 5*n - 0*n - 10. Suppose -5*c = -n*c - 12. Solve -m**3 + m**2 + m**5 + 0*m**5 + 4*m**c - 5*m**4 = 0.
-1, 0, 1
Solve -4/5*h**3 + 4/5*h + 6/5*h**2 - 6/5*h**4 + 0 = 0 for h.
-1, -2/3, 0, 1
Let a be ((-1)/(-3))/((-77)/(-66)). Factor 0 - a*t**5 - 4/7*t**2 + 0*t**3 + 2/7*t + 4/7*t**4.
-2*t*(t - 1)**3*(t + 1)/7
Let k(v) be the first derivative of -1/6*v**2 + 1/12*v**4 + 1/9*v**3 - 1/3*v - 2. Solve k(d) = 0 for d.
-1, 1
Let n(y) = y**2 - 8*y + 10. Let d be n(7). Let w be 2/(-8) + (-18)/(-8). Factor w - 2*a**2 + 6*a**d + 0 - 33*a + 27*a.
2*(a - 1)*(a + 1)*(3*a - 1)
Suppose -2*r + 2*u = 3*r - 21, 0 = -4*r - u + 9. Factor -4*z**2 - 12*z**r - 2*z**5 - 8*z**4 - 7*z**2 - 5*z + 3*z + 3*z**2.
-2*z*(z + 1)**4
Factor -2/3*o**2 + 0 + 0*o - 2/3*o**4 - 4/3*o**3.
-2*o**2*(o + 1)**2/3
Factor -4/5*v - 8/5*v**2 + 4/5 + 4/5*v**4 - 4/5*v**5 + 8/5*v**3.
-4*(v - 1)**3*(v + 1)**2/5
Let y be (-135)/21 + (-9)/(-21). Let b be 1 - (y/2 - -1). Factor 3 - 2 - f**4 - 2*f + 3*f**3 - f**b.
-(f - 1)**3*(f + 1)
Let f(g) be the third derivative of 0*g**3 + 1/450*g**5 + 3*g**2 + 0 - 1/90*g**4 + 0*g. What is s in f(s) = 0?
0, 2
Let o(p) be the second derivative of 0*p**4 + 1/90*p**5 + 0*p**2 + 0 - 1/27*p**3 - 3*p. Factor o(u).
2*u*(u - 1)*(u + 1)/9
Let m(d) be the second derivative of -11*d**7/168 + d**6/60 + 11*d**5/40 - d**4/12 - 11*d**3/24 + d**2/4 + d - 3. Determine p so that m(p) = 0.
-1, 2/11, 1
Let b be (-36)/(-44) - (-6)/33. Let c be (-3 + b)/((-2)/3). Suppose 0*j + 2/3 - 2*j**2 + 4/3*j**c = 0. What is j?
-1/2, 1
Let w(f) be the third derivative of -f**7/525 - 3*f**6/100 - 9*f**5/50 - 9*f**4/20 - 3*f**2. Factor w(d).
-2*d*(d + 3)**3/5
Let l(j) be the third derivative of -j**8/13440 + j**7/5040 - j**4/24 - 6*j**2. Let k(g) be the second derivative of l(g). Factor k(t).
-t**2*(t - 1)/2
Let f = 8 + -4. Let z be -1*5/((-70)/f). Factor 2/7*n - z*n**2 + 0.
-2*n*(n - 1)/7
Let r(q) be the first derivative of -q**3/12 - 11*q**2/4 - 121*q/4 - 6. Solve r(k) = 0 for k.
-11
Let t(c) be the first derivative of c**7/525 + c**6/150 - c**4/30 - c**3/15 + c**2 - 3. Let o(q) be the second derivative of t(q). Factor o(h).
2*(h - 1)*(h + 1)**3/5
Factor 6*g + 28 - 11 + 15 - 22*g + 2*g**2.
2*(g - 4)**2
Let r be ((-1)/2)/((-3)/108). Let m be -7 + 8 - 14/r. Find a, given that -m*a**5 + 4/9*a**4 - 4/9*a**2 + 0 + 2/9*a + 0*a**3 = 0.
-1, 0, 1
Let f(t) = t**4 - t**3 - t**2 + 1. Let j(c) = -c**5 + 4*c**4 - 18*c**3 + 28*c**2 - 9*c - 4. Let o(m) = 4*f(m) + j(m). Suppose o(g) = 0. Calculate g.
0, 1, 3
Let o(g) = -g**2 + 7*g - 7. Let l be o(5). Solve -4*x**5 - 8*x**4 + x**l - 5*x**3 + 0*x**4 = 0.
-1, 0
Let j be 36/(-42)*(-7)/2. Find u, given that -u**2 + 5*u + u - j*u = 0.
0, 3
Let v(t) be the third derivative of t**6/30 + t**5/5 + t**4/2 + 2*t**3/3 + 6*t**2. Let v(w) = 0. Calculate w.
-1
Let v(w) be the third derivative of -w**10/226800 - w**9/90720 + w**8/30240 + w**7/7560 - w**5/30 + w**2. Let f(y) be the third derivative of v(y). Factor f(j).
-2*j*(j - 1)*(j + 1)**2/3
Let k(a) be the first derivative of -4/11*a - 5/22*a**4 - 7/11*a**2 - 9 - 6/11*a**3 - 2/55*a**5. Determine y, given that k(y) = 0.
-2, -1
Let t(p) = p**5 - 6*p**4 - 3*p**3 + 4*p**2 + 4. Let h(v) = v**5 - 7*v**4 - 4*v**3 + 5*v**2 + 5. Let r(w) = -4*h(w) + 5*t(w). Factor r(n).
n**3*(n - 1)**2
Factor -2/5*j**3 + 0 + 0*j - 6/5*j**5 + 2/5*j**2 - 2*j**4.
-2*j**2*(j + 1)**2*(3*j - 1)/5
Let a be (-15)/6*24/(-15). Suppose -a*p = p. Find f such that -4/3*f**3 + 0*f**2 + 2/3*f**5 + 2/3*f + 0*f**4 + p = 0.
-1, 0, 1
Let t(k) be the second derivative of k**5/140 + k**4/84 - k**3/21 + 5*k. Factor t(r).
r*(r - 1)*(r + 2)/7
Let t = -3 - 1. Let v be t/(-3) - (-2)/3. Determine m, given that 3*m**2 + 2*m**3 - m**5 + m**4 - 3*m**3 + v*m**3 - 4*m**2 = 0.
-1, 0, 1
Let c(l) = -4*l**5 + 6*l**4 - 6*l**2 + 2*l - 2. Let w(g) = -g**5 + g**4 - g**3 - g**2 + g - 1. Let m(a) = c(a) - 2*w(a). Determine v, given that m(v) = 0.
-1, 0, 1, 2
Let v = -14 + 19. Suppose 4*y + y - 2*c - 62 = 0, -4*y + 50 = -2*c. Let -y*o**5 - 4*o**2 + o + o**4 + 13*o**5 + 6*o**3 - v*o**4 = 0. What is o?
0, 1
Let x(l) be the second derivative of -l**5/15 + 2*l**3/3 - 2*l**2 + 4*l. Let g(p) be the first derivative of x(p). Solve g(o) = 0 for o.
-1, 1
Determine j so that -12*j**5 - 10*j**5 + 15*j**3 + 9*j**3 + 6*j**5 - 20*j**4 = 0.
-2, 0, 3/4
Let r(m) be the first derivative of -4*m**3/3 + 16*m**2 + 36*m + 8. Suppose r(w) = 0. Calculate w.
-1, 9
Let t be 8/(-6)*4/(-8). Suppose 4*i - 4 - 4 = 0. Determine f so that 4/3*f + t + 2/3*f**i = 0.
-1
Let v(p) = -p**3 - p**2 + 5*p + 2. Let t be v(-3). Suppose -t*i + 2*i = 0. Factor 1/3*j**3 - 1/3*j**4 + 0*j + 0*j**2 + i.
-j**3*(j - 1)/3
Suppose 0 = 4*m + 3*f + 32, 0 = 3*m - 0*m + 2*f + 24. Let d be (-20)/m*4/5. Factor 2*u - d*u**2 - 2*u.
-2*u**2
Let m(i) be the third derivative of -i**9/5040 + i**8/2240 + i**4/8 + 3*i**2. Let p(y) be the second derivative of m(y). Find j such that p(j) = 0.
0, 1
Factor -4/3*r + 0 - 2/3*r**2.
-2*r*(r + 2)/3
Determine n so that 4/11*n**2 + 2/11*n**3 + 0*n - 2/11*n**5 + 0 - 4/11*n**4 = 0.
-2, -1, 0, 1
Let y be 1 + -3 - (-42)/9. Factor -y*k**2 + 5/3*k + 4/3*k**3 - 1/3.
(k - 1)*(2*k - 1)**2/3
Let t(p) be the second derivative of 14*p**6/15 - 19*p**5/5 + 5*p**4 - 2*p**3/3 - 4*p**2 - 6*p. Factor t(v).
4*(v - 1)**3*(7*v + 2)
Let a(x) = -x**3 + 8*x**2 - x + 10. Let m be a(8). Suppose 0 = 2*f - f - 3. Factor i**m + 6*i**2 - 2*i**2 - 2*i**f - i**2 - 2*i.
-2*i*(i - 1)**2
Suppose 5*y - 19 = 3*r - 3, 5*r = -5*y. Let f(d) be the first derivative of y - 1/5*d**5 + 0*d + 1/2*d**4 - 1/3*d**3 + 0*d**2. Suppose f(v) = 0. Calculate v.
0, 1
Factor 6 - 3*q + q**2 + 12*q + q**2 + q**2.
3*(q + 1)*(q