/7*f**2 - 8/7*f**4 + 0 = 0 for f.
-2, -1, 0, 1
Suppose 8*r - 4*r - q - 12 = 0, 0 = -r + 4*q + 3. Let w be 292/24 + 3/(-6). Suppose -59/3*c**2 - 28/3*c - w*c**r - 4/3 = 0. What is c?
-1, -2/5, -2/7
Let i = 149/36 + -55/12. Let x = 11/36 - i. Determine t, given that 9/4*t**2 - 3 + 0*t - x*t**3 = 0.
-1, 2
Let g be 1/(-12)*(-72)/(-189). Let h = g + 67/126. Determine r so that 0 + 1/2*r**4 - h*r**2 - 1/2*r + 1/2*r**3 = 0.
-1, 0, 1
Let g(a) be the first derivative of -a**3/6 - 5*a**2/2 - 12. Factor g(s).
-s*(s + 10)/2
Factor 2*j**2 - 21*j**3 - 7*j**2 - 22*j**2 - 6*j.
-3*j*(j + 1)*(7*j + 2)
Let u(q) = q - 16. Let h(b) = 1. Let g(z) = -2*h(z) - u(z). Let x be g(11). Solve 176*m**2 + 51*m**4 + 0*m**5 - 7*m**5 + 13 - 140*m**x - 96*m + 3 = 0.
2/7, 1, 2
Let s(j) = -2*j - 10. Suppose -r - 3*r - 20 = 0. Let o be s(r). Suppose -2/5*y**2 + 0*y + o = 0. Calculate y.
0
Let x(b) be the first derivative of -14*b**3/27 + 23*b**2/9 - 4*b/3 - 2. Factor x(a).
-2*(a - 3)*(7*a - 2)/9
Let d(l) be the third derivative of l**5/360 + l**4/48 + l**3/18 - 14*l**2. Factor d(g).
(g + 1)*(g + 2)/6
Let o(q) = 2*q**2 + q - 3. Let a be o(-2). Let -4/11 - 8/11*n**2 - 14/11*n + 8/11*n**a = 0. Calculate n.
-1/2, 2
Suppose -2*b - 4 = 0, 5*f + 3*b + 6 = -0*b. Factor 2*r**5 + 4*r**5 + f*r**5 - 5*r**5 + r**4.
r**4*(r + 1)
Factor 81*x**3 + 132/5*x**2 + 0 - 12/5*x.
3*x*(5*x + 2)*(27*x - 2)/5
Let y(z) be the third derivative of 0*z - 1/840*z**8 - 1/150*z**5 + 0 + 0*z**4 - 1/175*z**7 - z**2 + 0*z**3 - 1/100*z**6. Solve y(k) = 0 for k.
-1, 0
Let c(n) be the third derivative of n**8/4200 - n**7/1050 - n**6/900 + n**5/150 - n**3/6 - 5*n**2. Let y(p) be the first derivative of c(p). Factor y(s).
2*s*(s - 2)*(s - 1)*(s + 1)/5
Let g(v) = 7*v - 11. Let d be g(2). Factor -1/2*y + 0 + 1/4*y**2 + 1/4*y**d.
y*(y - 1)*(y + 2)/4
Let r = 6 + -3. Suppose n + 2*n + 19 = 5*h, 4*n + 4*h - 28 = 0. Find v such that -2/9*v - 10/3*v**r + 16/9*v**4 + 32/9*v**5 - 16/9*v**n + 0 = 0.
-1, -1/4, 0, 1
Let s = 76/3 - 359/15. What is p in 4/5 - 1/5*p**5 + s*p**4 + 5*p**2 - 16/5*p - 19/5*p**3 = 0?
1, 2
Let h(b) be the first derivative of b**5/5 - b**4/4 - b**3/3 + b**2/2 - 6. Factor h(c).
c*(c - 1)**2*(c + 1)
Let a(q) be the first derivative of -4/3*q**3 + 0*q - 4 - 4*q**2. Factor a(h).
-4*h*(h + 2)
Let -8/3*t**4 + 0*t + 0 - 4/3*t**2 - 10/3*t**3 - 2/3*t**5 = 0. Calculate t.
-2, -1, 0
Suppose 0 = -m - 2*m - 3*a + 3, 5*a + 3 = -m. Let q = 1 + m. Solve 4/9*d**4 + 0 + 0*d - 2/9*d**q - 2/9*d**5 + 0*d**2 = 0 for d.
0, 1
Let z(o) be the third derivative of 3*o**7/70 + o**6/20 - 19*o**5/20 + 3*o**4/4 - 8*o**2. Factor z(j).
3*j*(j - 2)*(j + 3)*(3*j - 1)
Let u(b) be the second derivative of -b**7/42 - b**6/30 + b**5/10 - 8*b. Let u(g) = 0. Calculate g.
-2, 0, 1
Let l(m) = 5*m - 18. Let n be l(4). Let a(o) be the first derivative of -1 + 1/12*o**3 - 1/8*o**n - 1/2*o. Factor a(h).
(h - 2)*(h + 1)/4
Let z = -164 - -3609/22. Let k(h) be the first derivative of 4/11*h + 0*h**3 - 3/11*h**2 - 1 + z*h**4. Determine i, given that k(i) = 0.
-2, 1
Let h(c) be the second derivative of -c**5/24 - c**4/8 - c**3/12 + 3*c**2/2 + c. Let f(x) be the first derivative of h(x). Factor f(d).
-(d + 1)*(5*d + 1)/2
Let g(a) be the first derivative of -2*a**6/27 + 4*a**5/15 - a**4/3 + 4*a**3/27 - 13. Factor g(t).
-4*t**2*(t - 1)**3/9
Let y = -154/5 + 31. Let m(l) be the second derivative of 2/15*l**3 - l + 0 - y*l**2 - 1/30*l**4. Factor m(j).
-2*(j - 1)**2/5
Let i = 32 - 19. Suppose 0 = c + 3*n - 7, -3*c - 4*n + i = -3. Factor -4/11 + 6/11*o + 6/11*o**2 - 14/11*o**3 + 6/11*o**c.
2*(o - 1)**3*(3*o + 2)/11
Let p be ((-6)/(-4))/(5/10). Factor 3 - p*v**3 + 0 - 12*v + 5 + 7*v**3.
4*(v - 1)**2*(v + 2)
Let d be 3 + (6 - 3) - 3. Factor -f**d - 21*f - 4 + 21*f + 3*f**2.
-(f - 2)**2*(f + 1)
Let m(i) be the first derivative of i**4/18 - i**2/3 + 4*i/9 - 4. Factor m(n).
2*(n - 1)**2*(n + 2)/9
Let o(w) be the third derivative of -w**7/1155 - w**6/220 + w**4/33 + 33*w**2. Factor o(b).
-2*b*(b - 1)*(b + 2)**2/11
Let o(c) be the first derivative of -c**6/8 - 9*c**5/20 - 3*c**4/16 + 3*c**3/4 + 3*c**2/4 + 2. Solve o(b) = 0 for b.
-2, -1, 0, 1
Let j(u) = -u**2 - 5*u - 4. Let y be j(-3). Solve 10 + 0*a**2 - 12*a + y + 3*a**2 = 0.
2
Suppose 13 - 1 = 4*g. Find c such that -1/4*c**4 - 3/2*c**2 + c - 1/4 + c**g = 0.
1
Let t(y) = y**3 + 2*y**2 - 3*y + 1. Let v be t(-3). Let w(d) be the first derivative of -6*d**3 + 4*d**3 + d**2 - 2 + v. Find c such that w(c) = 0.
0, 1/3
Suppose -3*h = 2*j - 3 - 1, j - 5 = -3*h. Let o be 6 + 6/(-2) - j. Factor 6*m**5 - 16*m**2 - 7*m**4 + 40*m**3 - 5*m**o - 16*m**4.
2*m**2*(m - 2)**2*(3*m - 2)
Let w(b) = b**3 - 16*b**2 - 17*b + 2. Let u be w(17). Let 0 - 1/2*x**4 + 0*x - 1/2*x**3 + 0*x**u = 0. Calculate x.
-1, 0
Let z be (-2)/(-4) + (-11)/22. Let h(c) be the first derivative of -1/2*c**4 + z*c - 1 - c**2 - 4/3*c**3. Find y, given that h(y) = 0.
-1, 0
Let l(c) = 2*c**2 + 14 - 7 - 4*c - 2*c**2 - c**2. Let p be l(-5). Factor -j**p - 3*j**2 - 2 + 3*j + 4*j**2 - j**3.
-(j - 1)**2*(j + 2)
Let q(v) be the third derivative of -v**5/120 - v**4/12 - v**3/4 - v**2. Factor q(g).
-(g + 1)*(g + 3)/2
Let s be ((-6)/21)/(0 - 6/7). Suppose s*b**5 - 1/3*b + 2/3*b**4 + 0 + 0*b**3 - 2/3*b**2 = 0. What is b?
-1, 0, 1
Let g be (-2)/4*(-2 + 0). Let w be (2/g)/1 + 0. Let o(u) = 4*u**2 - 2. Let q(x) = x**2. Let s(c) = w*q(c) - o(c). Determine z so that s(z) = 0.
-1, 1
Suppose 3*j**5 - 4*j**2 + 3 + 30*j**3 + 15*j + 15*j**4 - 2*j**2 + 10*j**2 + 26*j**2 = 0. Calculate j.
-1
Let w(q) be the second derivative of -2*q + 2/3*q**2 - 1/3*q**3 + 1/18*q**4 + 0. Let w(l) = 0. Calculate l.
1, 2
Let w be (-2660)/(-147) - 3/7. Let h = w - 17. Determine n so that h*n**3 + 0 - 2/3*n**2 - 4/3*n = 0.
-1, 0, 2
Let b(j) = -j**4 - 41*j**3 + 11*j**2 + 17. Let h(c) = 14*c**3 - 4*c**2 - 6. Let w(m) = -6*b(m) - 17*h(m). Factor w(z).
2*z**2*(z + 1)*(3*z + 1)
Let f = -15 + 46/3. Let r(d) be the second derivative of 0 + 1/2*d**2 - d + 1/12*d**4 + f*d**3. Factor r(k).
(k + 1)**2
Let j(k) be the first derivative of 1/16*k**4 - 1/4*k**2 - 1/12*k**3 + 0*k - 2. Find a, given that j(a) = 0.
-1, 0, 2
Let c(j) be the second derivative of 1/2*j**2 - 5/24*j**4 - 6*j - 1/12*j**3 + 0 + 1/20*j**6 + 1/40*j**5. Factor c(i).
(i - 1)*(i + 1)**2*(3*i - 2)/2
Let x(v) = -v**2 - 1. Let a be 2*(-3 + 3 + 1). Let c(n) = -n**2 + n - 4. Let r(i) = a*x(i) - c(i). Factor r(m).
-(m - 1)*(m + 2)
Let x(h) = -4*h**3 + h**2 - 3*h - 1. Let s(c) = -8*c**3 + 2*c + 0*c + 10*c**3. Let k(m) = -7*s(m) - 4*x(m). Find i, given that k(i) = 0.
-1, 1, 2
Solve 2*p - 6*p**2 - p + 5*p**2 = 0 for p.
0, 1
Let z be 2 + (1/(-1) - -1). Suppose -3*x = -n - 9, 2*n - 24 = -3*x - 2*n. Factor -2*g**z - x*g**3 + 4*g**4 - 5*g**4 - g**4.
-2*g**2*(g + 1)**2
Let j be 1*2*4/4. Let d(l) be the second derivative of 0 + 2/9*l**j - 2*l - 1/9*l**3 - 1/27*l**4 + 1/30*l**5. Find i, given that d(i) = 0.
-1, 2/3, 1
Let u = 64 + 11. Let n be (-20)/u + (-2)/(-3). What is a in 4/5 - n*a**2 - 2/5*a = 0?
-2, 1
Let o(g) = 7*g**4 - 19*g**3 + 8*g**2 - g - 5. Let f(d) = -7*d**4 + 19*d**3 - 8*d**2 + 4. Let h(n) = -5*f(n) - 4*o(n). Factor h(i).
i*(i - 2)*(i - 1)*(7*i + 2)
Suppose -1 - 27/4*f**3 + 15/4*f**2 + 4*f = 0. What is f?
-2/3, 2/9, 1
Let j(p) be the first derivative of p**6/9 - 4*p**5/15 - p**4/2 - 20. Solve j(f) = 0.
-1, 0, 3
Let z(i) be the second derivative of -i**6/300 - i**5/300 + 2*i**3/3 - 7*i. Let y(w) be the second derivative of z(w). Factor y(a).
-2*a*(3*a + 1)/5
Let z be 22/10 + 8 + -10. Solve -1/5*p + z*p**3 - 1/5 + 1/5*p**2 = 0 for p.
-1, 1
Let c(w) be the second derivative of 3*w**7/56 + w**6/40 - 3*w**5/16 - w**4/16 + w**3/4 - 12*w. Let c(u) = 0. Calculate u.
-1, 0, 2/3, 1
Let c = -118/3 - -40. Determine m so that 0 - 2/9*m**2 - 2/9*m**5 + 0*m - 2/3*m**4 - c*m**3 = 0.
-1, 0
Factor -2/3*m + 0 - 2/9*m**2.
-2*m*(m + 3)/9
Factor 0*w + 1/2*w**2 + 0 - 1/2*w**3.
-w**2*(w - 1)/2
Let v be (-117)/36*-2 - 2*3. Factor -q**2 + 0 + 1/2*q + v*q**3.
q*(q - 1)**2/2
Suppose 0 = -5*c - 2*q - 30, c + 2*c - q = -7. Let t be c/3*3/(-7). Determine a so that -2*a**3 - 22/7*a - t - 32/7*a**2 = 0.
-1, -2/7
Let m(f) be the second derivative of -f**7/168 + f**6/120 + 12*f. Determine j so that m(j) = 0.
0, 1
Factor 10*n**3 + 8*n**3 + 0*n**4 - 10*n**3 - 4*n**4 - 4*n**2.
-4*n**2*(n - 1)**2