d j such that -2/11*j**2 - 2/11 + 4/11*j = 0.
1
Suppose 6*b = -773 - 397. Let d be (-10)/65 - 108/b. Solve 2/5 - 4/5*n + d*n**2 = 0.
1
Find h, given that h**2 - 1/3*h**3 + 0*h + 0 = 0.
0, 3
Let n(o) be the first derivative of 1/12*o**3 + 0*o**2 - 3 - 1/16*o**4 + 0*o. Solve n(i) = 0 for i.
0, 1
Let d(c) be the third derivative of -c**7/1260 - c**6/180 + c**4/8 - 2*c**2. Let z(p) be the second derivative of d(p). Factor z(t).
-2*t*(t + 2)
Let t = -4/9 - -17/18. Let x(n) be the first derivative of -1/2*n - t*n**3 - 2 + 3/4*n**2 + 1/8*n**4. Find u such that x(u) = 0.
1
Let w be ((-3)/2)/((-1)/(-2)). Let r be ((-5)/(-2) + w)/(-1). Suppose 0*s - r*s**3 + s**2 - 2*s**4 + 0 + 3/2*s**5 = 0. Calculate s.
-2/3, 0, 1
Suppose 3*s + s = 0. Let m = 233/4 + -58. Solve s*u + 0 - m*u**4 + 0*u**3 + 1/4*u**2 = 0.
-1, 0, 1
Let f(g) be the third derivative of g**7/1785 + g**6/255 + g**5/170 + 22*g**2. Find y, given that f(y) = 0.
-3, -1, 0
Let k(j) = j**3 - 7*j**2 + 2. Let w be k(7). Suppose 3*i - 5*t = -4, -w*i + t - 8 = -5*i. Factor 8/9 + i*o**4 + 74/9*o**2 + 20/3*o**3 + 40/9*o.
2*(o + 1)**2*(3*o + 2)**2/9
Suppose 40000/3 + 800*g**2 + 16000/3*g + 4/3*g**4 + 160/3*g**3 = 0. Calculate g.
-10
Let p be 196*1 + -1*2. Let x = p - 1742/9. What is l in 0*l**2 - 4/9*l**3 + 2/9*l**4 - 2/9 + x*l = 0?
-1, 1
Let c(l) be the second derivative of -l**4/24 - 5*l**3/12 - l**2 - 13*l. Find p, given that c(p) = 0.
-4, -1
Let b be (1*(-16)/(-10))/1. Find o, given that 4*o**2 + 4/5*o + b*o**3 - 8/5 = 0.
-2, -1, 1/2
Let m(s) be the second derivative of 1/90*s**6 + 0 - 1/6*s**2 + 1/30*s**5 + 0*s**4 - 1/9*s**3 - 4*s. Factor m(i).
(i - 1)*(i + 1)**3/3
Let m be (-1 - -12) + -2 + 0. Solve -m*z + z**2 - z**3 + 9*z = 0 for z.
0, 1
Let m(n) = -n**2 + 4*n + 2. Let d(r) = -4*r**2 + 12*r + 7. Let c(l) = 2*d(l) - 7*m(l). Solve c(p) = 0 for p.
-4, 0
Let l(r) be the first derivative of 5*r**4/4 + 2*r**3 - 3*r**2/2 - 3. Let f(m) = -6*m**3 - 7*m**2 + 4*m. Let p(h) = 4*f(h) + 5*l(h). Factor p(v).
v*(v + 1)**2
Determine m, given that 27*m**5 - 4 + 14*m + 4*m**4 - 15*m**5 + 4*m**3 - 14*m**5 - 16*m**2 = 0.
-2, 1
Factor 1/4*v**4 - 1/4*v**2 + 0 + 0*v**3 + 0*v.
v**2*(v - 1)*(v + 1)/4
Suppose -p + 2*p - 3 = 0. Factor -3*z**p + 7*z**3 - 3*z**3 - 3*z - 2.
(z - 2)*(z + 1)**2
Let u = 17 - 14. Let v be u/(-15) + (-51)/(-105). Factor v*d + 0*d**2 + 0 - 2/7*d**3.
-2*d*(d - 1)*(d + 1)/7
Let r(h) be the second derivative of h**7/10080 - h**6/1440 + h**5/480 - h**4/12 + h. Let i(k) be the third derivative of r(k). Factor i(m).
(m - 1)**2/4
Let j(r) = -9*r**4 + 24*r**3 - 39*r**2 - 57*r + 15. Let y(o) = -o**4 + 3*o**3 - 5*o**2 - 7*o + 2. Let s(z) = 4*j(z) - 33*y(z). Suppose s(g) = 0. Calculate g.
-2, -1, 1
Let s = -3 - -5. What is j in 2*j**2 + j - j**2 + 2 - s*j**2 = 0?
-1, 2
Let z(q) = -q**2 + 8*q - 8. Let h be z(7). Let w = h - -6. Determine m, given that 1/2*m - 1/2*m**w + 0*m**3 + m**4 + 0 - m**2 = 0.
-1, 0, 1
Let z(c) = 2*c**3 + 7*c**2 + 4*c + 3. Let h be z(-3). Let r(f) be the third derivative of 1/30*f**5 + 3*f**2 + 1/6*f**4 + h + 1/3*f**3 + 0*f. Factor r(k).
2*(k + 1)**2
Suppose -5 = 5*l + 5. Let g(a) = 3*a**3 + 2*a**2 - a + 4. Let b(p) = 7*p**3 + 5*p**2 - p + 9. Let s(u) = l*b(u) + 5*g(u). Factor s(v).
(v - 1)**2*(v + 2)
Let l be 222/24 + 1/(-4). Suppose 0 = 2*c - 4*n - 33 + l, 3*c - 4*n = 26. Find z, given that z**3 + z**4 - 3*z**3 + 3*z**5 - 6*z**4 - 1 - z + 6*z**c = 0.
-1, -1/3, 1
Let l(i) be the second derivative of i**9/37800 - i**8/5600 + i**7/3150 + i**4/6 + 4*i. Let q(o) be the third derivative of l(o). Factor q(f).
2*f**2*(f - 2)*(f - 1)/5
Let m(f) be the first derivative of 2*f**6/3 + 8*f**5/5 + f**4 - 4. What is w in m(w) = 0?
-1, 0
Let u(l) be the second derivative of 1/48*l**4 - 1/24*l**3 + 0 - 1/8*l**2 - 7*l + 1/80*l**5. Let u(m) = 0. Calculate m.
-1, 1
Let b(o) be the second derivative of -7*o**6/120 + 23*o**5/80 - 5*o**4/12 + o**3/6 + 8*o. Factor b(n).
-n*(n - 2)*(n - 1)*(7*n - 2)/4
Suppose 12 = 3*o, -3*l = -0*l + 2*o - 8. Let q(n) = n**2 - 2*n + 2. Let d be q(2). Factor 1/3*s**d + l*s - 1/3.
(s - 1)*(s + 1)/3
Let f(j) be the third derivative of -j**6/300 - 4*j**5/75 - 7*j**4/20 - 6*j**3/5 + 25*j**2. Factor f(b).
-2*(b + 2)*(b + 3)**2/5
Solve 2/3*i**2 + 2/3*i - 4/3 = 0.
-2, 1
Let q be -1 + -5 - (-2 - -2). Let x be q/4 - 21/(-6). Factor 9*s**x - 9*s + 11*s**2 - 6*s - 6 + s**2.
3*(s - 1)*(7*s + 2)
Let q(i) be the third derivative of -i**8/1512 - 4*i**7/945 - i**6/90 - 2*i**5/135 - i**4/108 + 6*i**2. Solve q(v) = 0 for v.
-1, 0
Let u(d) be the first derivative of -3*d**6/160 - d**5/80 + d**4/12 + d**3/6 + 2*d**2 - 4. Let i(y) be the second derivative of u(y). Factor i(q).
-(q - 1)*(3*q + 2)**2/4
Let i(a) = a - 6. Let s be i(8). Determine t so that -82*t + 80*t - s*t**2 + 0*t**2 = 0.
-1, 0
Let m(u) = u**3 - 5*u**2 - 5*u - 4. Let d = 15 + -9. Let q be m(d). Let 2*t**4 - 1 - 2*t**q + 1 = 0. What is t?
-1, 0, 1
Let v(l) be the first derivative of l**6/12 + l**5/5 - l**4/4 - 4*l**3/3 - 7*l**2/4 - l + 3. Factor v(o).
(o - 2)*(o + 1)**4/2
Let k(p) be the second derivative of -1/54*p**4 + 0 - 1/9*p**2 - 2/27*p**3 - 6*p. What is d in k(d) = 0?
-1
Let p be 3*7/(21/102). Let x = p - 504/5. Solve 2/5*l**5 - 6/5*l**4 + 0 + 0*l + x*l**3 - 2/5*l**2 = 0.
0, 1
Suppose 0 = 2*q + 4*p - 4, -5*q - 5*p = -0*p - 10. Let i be (-16)/40*(q - 7). Factor 0 + 4/5*w**i - 2/5*w - 2/5*w**3.
-2*w*(w - 1)**2/5
Let a = 1283/15 - 85. Solve 16/15 - 2/15*q**3 - 2/15*q**5 + a*q + 8/15*q**4 - 4/3*q**2 = 0.
-1, 2
Let v(j) be the first derivative of j**6/6 - 8*j**5/5 + 4*j**4 + 4. Factor v(r).
r**3*(r - 4)**2
Find g such that 2/11*g**3 + 0 + 18/11*g + 12/11*g**2 = 0.
-3, 0
Let g(o) be the first derivative of -o**5/5 + 9*o**4/10 - 7*o**3/15 - 3*o**2/5 - 20. Factor g(m).
-m*(m - 3)*(m - 1)*(5*m + 2)/5
Suppose 4*k + 3*l - 9 = -0*l, -4*k + 8 = 4*l. Solve 2 + 3*z**2 - 3*z**2 + 2*z**2 - z - k*z = 0.
1
Let j be ((-2)/6)/(5*4/(-30)). Let 0 + j*p**3 - 1/4*p + 0*p**4 + 0*p**2 - 1/4*p**5 = 0. Calculate p.
-1, 0, 1
Let o(x) be the second derivative of -25*x**7/126 + 2*x**6/3 - 3*x**5/4 + 5*x**4/18 + 12*x. Factor o(b).
-5*b**2*(b - 1)**2*(5*b - 2)/3
Let q be (2 + -5)/9 - -1. Let p = 2/297 + 196/297. Factor q + 0*f - p*f**2.
-2*(f - 1)*(f + 1)/3
Suppose 5*o + 17 + 193 = -3*h, 5*h + o = -372. Let m be (-1)/(-1) - h/(-105). Factor -2/7*a**3 + 0 - m*a**2 + 0*a.
-2*a**2*(a + 1)/7
Determine y, given that 0 - 3/2*y - 9/4*y**2 = 0.
-2/3, 0
Let i(d) = 4*d + 4. Let l be i(0). Suppose 2/3*j**3 + 0*j - 2/3*j**l + 4/3*j**2 + 0 = 0. Calculate j.
-1, 0, 2
Suppose 0 = z - 3 + 1. Factor -l**2 - 1 - 8 + 0*l**z - 6*l.
-(l + 3)**2
Let s(z) be the first derivative of 2/5*z**3 + 1 + 4/5*z**2 - 8/5*z. What is y in s(y) = 0?
-2, 2/3
Suppose -1/2*n**5 + 1/8*n**4 + n**3 + 1/8 - 1/2*n - 1/4*n**2 = 0. What is n?
-1, 1/4, 1
Factor -84/5*u + 18/5*u**2 + 98/5.
2*(3*u - 7)**2/5
Suppose 0 = -4*i + 5*c - 12, -16*i + 14*i + 12 = 2*c. Factor 1/3*n - 1/3*n**i + 0.
-n*(n - 1)/3
Suppose -3*c - 2 = -8. Solve -3*u**c + 4*u**2 - 4*u**2 + 7*u**2 = 0 for u.
0
Let l = 1921/1736 - -4/217. Let s(u) be the first derivative of -1/4*u**3 - 3/2*u + l*u**2 - 1. Let s(v) = 0. Calculate v.
1, 2
Suppose 4*t - 14 = -4*a + 2, -25 = -4*a + 5*t. Factor 0*v + 3*v - a*v - v**2.
-v*(v + 2)
Factor 0 - 12/5*c**2 - 6/5*c**3 + 2/5*c**4 + 16/5*c.
2*c*(c - 4)*(c - 1)*(c + 2)/5
Let n(h) be the second derivative of -h**5/5 - h**4/3 + 10*h**3/3 - 6*h**2 + 16*h. Determine a, given that n(a) = 0.
-3, 1
Factor -4*g**3 + 52*g - 24*g - 24*g.
-4*g*(g - 1)*(g + 1)
Let g(d) be the third derivative of -d**7/6300 - d**6/900 + d**4/12 + d**2. Let h(u) be the second derivative of g(u). Factor h(z).
-2*z*(z + 2)/5
Let w = -919/10 - -92. Let p(s) be the third derivative of 0 - 1/4*s**4 - w*s**5 - 1/3*s**3 + 0*s + s**2 - 1/60*s**6. Factor p(d).
-2*(d + 1)**3
Suppose 34 = 3*d - 3*o - 8, 0 = -3*o - 12. Solve 6*q - 10*q**3 + d*q**2 + 2 - 6 - 2*q**3 = 0.
-2/3, 1/2, 1
Suppose -u - 2*i + 0*i = -6, -5*i = u - 15. Suppose u = 3*s - 2*s. Let -4/5*p**4 + 0*p**3 + s + 2/5*p**5 - 2/5*p + 4/5*p**2 = 0. Calculate p.
-1, 0, 1
Factor -3/7*d - 3/7*d**2 + 18/7.
-3*(d - 2)*(d + 3)/7
Let a(m) be the first derivative of -5*m**6/17 + 88*m**5/85 - 25*m**4/34 - 16*m**3/51 + 4*m**2/17 - 20. Let a(z) = 0. Calculate z.
-2/5, 0, 1/3, 1, 2
Let s be (-13)/(-7)