w + 1/5 - 1/5*w**2 = 0. What is w?
-1, 1
Let -k**3 - 4*k**2 - k + 3 - 2*k - 5 - 2*k = 0. Calculate k.
-2, -1
Let z(o) be the second derivative of o**6/140 - 2*o**5/105 + o**4/84 + o**2/2 + 6*o. Let w(a) be the first derivative of z(a). Find l such that w(l) = 0.
0, 1/3, 1
Let 3/8*h**4 - 3/8*h - 9/8*h**2 + 1/4 - 1/8*h**3 = 0. What is h?
-1, 1/3, 2
Let h be (-1 - 3)*4/(-32)*6. Factor 12/5*p**2 + 8/5*p**h + 2/5*p**4 + 2/5 + 8/5*p.
2*(p + 1)**4/5
Let i be (0/(-3))/1 - -2. Suppose i*c + 2 = 4*q, -q + 5*q - 37 = -5*c. Factor 0*f - f**2 + 2*f**3 + 3/4*f**4 + 0 - 9/4*f**c.
-f**2*(f + 1)*(3*f - 2)**2/4
Let v(c) be the third derivative of -5*c**8/336 - c**7/42 + c**6/8 + c**5/12 - 5*c**4/12 + 12*c**2. Suppose v(l) = 0. Calculate l.
-2, -1, 0, 1
Let f be (98/28)/((-1)/2). Let s(a) = -a - 4. Let p be s(f). Suppose -1/2*q**p + 1/2*q - 3/2 + 3/2*q**2 = 0. What is q?
-1, 1, 3
Suppose -8 = -3*c + c. Let v be c - 4 - -2 - 0. What is g in 4/5*g + 1/5*g**v + 4/5 = 0?
-2
Let f(c) be the first derivative of 4*c**3/21 - 8*c**2/7 + 12*c/7 + 2. Suppose f(v) = 0. Calculate v.
1, 3
Suppose 0 = 5*t + 2*w + 142, -w - 2*w = -12. Let c be (-8)/t*6/4. Factor c - 2/5*d**2 + 0*d.
-2*(d - 1)*(d + 1)/5
Suppose 4*f + t = -2*t - 5, -5*f = 4*t + 7. Let o be (f - -1) + 48/(-28). Solve 24/7*n**3 + o*n**5 + 16/7*n**2 + 12/7*n**4 + 0*n + 0 = 0.
-2, 0
Let y(l) be the third derivative of -l**5/90 + l**4/12 - 2*l**3/9 - 6*l**2. Factor y(k).
-2*(k - 2)*(k - 1)/3
Let j(c) be the second derivative of -c**7/105 + c**6/25 - c**5/25 - c**4/15 + c**3/5 - c**2/5 + c. Factor j(l).
-2*(l - 1)**4*(l + 1)/5
Let h(t) = t**5 + 2*t**4 + t. Let o(k) = -2*k**5 - 3*k**4 + k**3 - 2*k. Let v(r) = -3*h(r) - 2*o(r). Solve v(s) = 0 for s.
-1, 0, 1
Let b(f) be the second derivative of -7/6*f**3 - 13/20*f**5 + 5/4*f**4 + 1/2*f**2 + 2/15*f**6 + 0 - 4*f. Factor b(h).
(h - 1)**3*(4*h - 1)
Let p be (-2)/30*(-9)/12. Let n(h) be the first derivative of p*h**5 + 0*h**4 - 2 + 0*h + 1/24*h**6 + 0*h**3 + 0*h**2. Factor n(i).
i**4*(i + 1)/4
Factor -4/5*b**5 + 32/5*b**2 + 0*b - 8/5*b**4 + 0 + 16/5*b**3.
-4*b**2*(b - 2)*(b + 2)**2/5
Let r(u) be the third derivative of 0*u**3 + 0 + 0*u**4 + 1/10*u**5 + 0*u**7 + 0*u - 3*u**2 + 3/40*u**6 - 1/112*u**8. Factor r(z).
-3*z**2*(z - 2)*(z + 1)**2
Let z(f) = -3*f**2 + 18*f + 39. Let j(o) = -o**2 + 2. Let s(m) = -6*j(m) + z(m). Factor s(k).
3*(k + 3)**2
Suppose -172 = -4*c + 4*n, 180 = 5*c + 2*n - 0*n. Let m be -2*c/(-16) + -4. Factor -1/2 + m*h - 1/4*h**2.
-(h - 2)*(h - 1)/4
Let t = 629 + -5657/9. Factor 2/9*x**3 - 2/3*x + 0 - t*x**2.
2*x*(x - 3)*(x + 1)/9
Let a(z) be the first derivative of 14*z**6 + 136*z**5/5 - 27*z**4 - 32*z**3 - 8*z**2 + 2. Find v such that a(v) = 0.
-2, -1/3, -2/7, 0, 1
Let d(s) be the second derivative of 2*s**7/147 - 4*s**6/105 - 3*s**5/35 + 8*s**4/21 - 8*s**3/21 + 9*s. Find x, given that d(x) = 0.
-2, 0, 1, 2
Let i(q) be the second derivative of -q**7/1050 - q**6/600 + q**5/300 + q**4/120 - q**2/2 + q. Let l(d) be the first derivative of i(d). Factor l(t).
-t*(t - 1)*(t + 1)**2/5
Let t(v) be the second derivative of 1/3*v**2 + 0 - 1/18*v**3 - 2*v - 1/12*v**4. Let t(h) = 0. What is h?
-1, 2/3
Suppose 12*n + 93 = 9*n. Let g be 4/((-20)/n) - 3. Find y, given that 12/5*y**2 + 24/5*y + g + 2/5*y**3 = 0.
-2
Let u(l) be the third derivative of l**7/1470 - l**5/140 + l**4/84 + 15*l**2. Factor u(a).
a*(a - 1)**2*(a + 2)/7
Determine t so that -3*t**4 + 6*t**2 + 0*t**2 + 9*t**3 + 6*t**4 = 0.
-2, -1, 0
Let c be (-48)/(-8) + (-34)/6. Determine x so that -2/3*x + x**3 - c*x**2 + 0 = 0.
-2/3, 0, 1
Factor 4/7*o**2 + 0 + 16/7*o.
4*o*(o + 4)/7
Let y = 0 - -13. Find r such that -3*r**5 + 8*r**4 - 12*r**2 - y*r**3 - 16*r**3 - 20*r**4 + 11*r**3 - 3*r = 0.
-1, 0
Let s(x) be the third derivative of x**8/168 + 5*x**7/84 + 19*x**6/120 - 2*x**5/15 - 7*x**4/8 - 3*x**3/4 + 14*x**2. Determine p so that s(p) = 0.
-3, -1, -1/4, 1
Suppose 10 - 26 = 4*a, 4*h = 6*a + 36. Solve -2/5*o**2 + 0 + 4/5*o**h - 4/5*o + 2/5*o**4 = 0 for o.
-2, -1, 0, 1
Let t(r) be the second derivative of -r**4/28 - 3*r**3/14 - 3*r**2/7 + 18*r. Factor t(n).
-3*(n + 1)*(n + 2)/7
Let a(m) be the first derivative of m**4/24 + 2*m**3/3 + 4*m**2 + 32*m/3 + 9. Find v, given that a(v) = 0.
-4
Let u be 69/4 - 6/(-8). Let s be 3/u - (-1)/(-6). Factor -2/3*f**2 + s*f + 0 + 2/3*f**3.
2*f**2*(f - 1)/3
Let s(v) be the second derivative of v**5/12 - 5*v**4/12 - 5*v**3/3 + 20*v**2/3 - 35*v. Factor s(o).
5*(o - 4)*(o - 1)*(o + 2)/3
Suppose 0 = -4*i + 3*c + 20, 21 = 3*i - 3*c + 3. Solve 2*s + 2 + s**i - 3 + 2 = 0 for s.
-1
Let o(y) be the first derivative of y**3/6 + 4. What is z in o(z) = 0?
0
Let q(h) be the third derivative of h**5/20 - h**4/4 + h**3/2 + 7*h**2. What is s in q(s) = 0?
1
Let -12*u**2 + 15*u**2 + 0*u**2 + 0*u**2 + 27*u = 0. Calculate u.
-9, 0
Let h(v) be the first derivative of -v**7/280 - v**6/60 + 4*v**3/3 - 2. Let m(o) be the third derivative of h(o). Solve m(r) = 0.
-2, 0
Let j(i) be the first derivative of -9*i**2 + 3*i**3 - 3*i + 4 + 30*i - 2*i**3. Determine u so that j(u) = 0.
3
Suppose -3/4*w**3 + 1/4*w**2 + 0 - 1/4*w**5 + 0*w + 3/4*w**4 = 0. What is w?
0, 1
Determine r so that -4/9*r**4 + 2/9*r**3 + 0*r - 2/9*r**5 + 4/9*r**2 + 0 = 0.
-2, -1, 0, 1
Let m(v) be the first derivative of -2*v**6/3 + 8*v**5/5 - v**4 + 35. Factor m(p).
-4*p**3*(p - 1)**2
Let b(u) be the second derivative of u**7/420 - u**6/48 + 3*u**5/40 - 7*u**4/48 + u**3/6 - 2*u**2 - 9*u. Let k(f) be the first derivative of b(f). Factor k(h).
(h - 2)*(h - 1)**3/2
Let k(q) be the second derivative of q**5/60 - q**4/36 - q**3/18 + q**2/6 + 23*q. Factor k(a).
(a - 1)**2*(a + 1)/3
Suppose 45 = z + 43. What is j in 2/11*j**3 - 2/11*j**z + 0*j + 0 = 0?
0, 1
Let r(v) = -4*v**2 - 12*v - 2. Let x(q) = 4*q**2 + 12*q + 3. Let u(a) = -3*r(a) - 2*x(a). Solve u(p) = 0 for p.
-3, 0
Let f(n) = -196*n**4 - 665*n**3 - 345*n**2 + 377*n - 71. Let m(l) = -98*l**4 - 333*l**3 - 173*l**2 + 189*l - 35. Let t(v) = -6*f(v) + 14*m(v). Factor t(u).
-4*(u + 2)**2*(7*u - 2)**2
Let i be ((4/(-32))/(-1))/5. Let h(r) be the second derivative of 0*r**2 - 2*r + 1/48*r**4 + i*r**5 + 0*r**3 + 0. Suppose h(u) = 0. Calculate u.
-1/2, 0
Let v(g) be the first derivative of -g**4/8 + 3*g**3/2 - 27*g**2/4 + 27*g/2 - 3. Factor v(y).
-(y - 3)**3/2
Let c(g) be the third derivative of 1/24*g**4 - 1/60*g**6 + g**2 + 0*g**3 + 0 + 1/60*g**5 + 0*g. Factor c(f).
-f*(f - 1)*(2*f + 1)
Let l(h) be the second derivative of -h**7/3780 + h**6/1620 + h**3/6 + h. Let s(f) be the second derivative of l(f). Determine i so that s(i) = 0.
0, 1
Let s be (-1)/(0 - 3/12). Factor 5*k**5 + 19*k**3 - 16*k**3 - 2*k**5 + 6*k**s.
3*k**3*(k + 1)**2
Let c be (-8)/52*-1 - (-138)/117. Let 4/3*j**4 + 2/3*j**5 - 2/3*j + 0*j**3 - c*j**2 + 0 = 0. What is j?
-1, 0, 1
Let c be (-4)/((-3)/3 + -1). Suppose -c = 3*m - 8. Find o, given that -o + 6*o - 4*o + o**m = 0.
-1, 0
Let w(f) be the second derivative of -4*f**6/195 - 3*f**5/130 - 40*f. Factor w(x).
-2*x**3*(4*x + 3)/13
Let k(d) be the second derivative of -d**7/84 - d**6/120 + d**5/40 + d**4/48 + 5*d. Let k(i) = 0. Calculate i.
-1, -1/2, 0, 1
Let r(z) = 8*z**4 - 8*z**3 - 4*z**2 + 4*z - 8. Let o(t) = -7*t**4 + 8*t**3 + 3*t**2 - 5*t + 7. Let c(a) = 4*o(a) + 3*r(a). Factor c(g).
-4*(g - 1)**3*(g + 1)
Let c(f) be the third derivative of f**4/24 + f**3/6 - 3*f**2. Let j(w) = -w**2 - 2*w - 1. Let s(b) = 3*c(b) + j(b). Let s(l) = 0. What is l?
-1, 2
Let b(w) be the first derivative of w**6/9 - 2*w**5/15 - w**4/6 + 2*w**3/9 - 8. Determine a, given that b(a) = 0.
-1, 0, 1
Let l(z) be the first derivative of 0*z + 0*z**2 + 1/9*z**3 - 4. What is c in l(c) = 0?
0
Let s(x) = x**2 - 1. Let y(a) = a**2 - 8*a + 7. Let t(n) = -3*s(n) - y(n). Factor t(p).
-4*(p - 1)**2
Let n(p) = 7*p**5 + 4*p**4 + 6*p**3 + 8*p**2 + 5*p. Let v(d) = d**5 + d**4 + d**3 + d**2 + d. Let k(r) = n(r) - 6*v(r). Find i, given that k(i) = 0.
-1, 0, 1
Let q(x) be the second derivative of -3*x**5/50 - x**4/30 + 8*x**3/15 - 4*x**2/5 - 10*x. Factor q(v).
-2*(v - 1)*(v + 2)*(3*v - 2)/5
Let r(x) be the first derivative of x**4/2 - 15. Let r(z) = 0. Calculate z.
0
Let s be ((-6)/(-28))/((-85)/20 - -5). Factor 2/7*w**2 - s*w + 0.
2*w*(w - 1)/7
Let m(i) = -i**3 - 6*i**2 - 4*i + 2. Let t be m(-5). Let r be (t - -1)*3/(-2). Fac