 = 19 + -9. Let m(l) = 4*l**3 + 7*l**2 - 5*l - 11. Let z(i) = -2*i**3 - 4*i**2 + 2*i + 6. Let v(p) = x*z(p) + 4*m(p). Find h, given that v(h) = 0.
-2, 1
Let a = 7/5 + -4/5. Let v(z) be the first derivative of a*z + 4/5*z**3 + 3/2*z**2 + 3. Suppose v(f) = 0. Calculate f.
-1, -1/4
Determine b so that 1/5 + b + 4/5*b**2 = 0.
-1, -1/4
Let j(q) be the third derivative of -1/70*q**5 + 0 - 1/84*q**4 + 2/735*q**7 + q**2 + 1/420*q**6 + 0*q + 1/21*q**3. Let j(z) = 0. What is z?
-1, 1/2, 1
Let j(s) be the second derivative of -s**9/15120 + s**8/2240 - s**7/1260 - s**4/3 - 5*s. Let d(g) be the third derivative of j(g). Find x such that d(x) = 0.
0, 1, 2
Let w(z) be the second derivative of 0*z**2 + 0 + 1/80*z**5 + 0*z**3 - 8*z - 1/48*z**4. Factor w(b).
b**2*(b - 1)/4
Suppose o - 5*o + 12 = 0. Let n(c) be the second derivative of -1/135*c**6 - 1/27*c**o + 0 - 3*c + 0*c**2 + 1/90*c**5 + 1/54*c**4. Factor n(z).
-2*z*(z - 1)**2*(z + 1)/9
Let n = 43/33 + -7/11. Determine w, given that 2/3*w**3 - 1/3*w - 2/3 - n*w**4 - 1/3*w**5 + 4/3*w**2 = 0.
-2, -1, 1
Determine a, given that -a**3 + 6*a**2 - 10*a**3 + 14*a**3 = 0.
-2, 0
Let a(m) be the second derivative of -m**6/10 + 3*m**4/4 - m**3 - m - 22. Factor a(c).
-3*c*(c - 1)**2*(c + 2)
Let r be (1/12)/(46/138). Factor -1/4*a + 0 - r*a**2.
-a*(a + 1)/4
Let w(t) = -t**4 + 2*t. Let h(v) = v**3 - 4*v**4 + 13*v - 4*v**4 + 0*v**4 + v**4. Let j(r) = -6*h(r) + 39*w(r). Factor j(a).
3*a**3*(a - 2)
Let 3*w**2 - 2*w + 3*w**3 - 6*w + 2*w = 0. What is w?
-2, 0, 1
Let f(v) be the second derivative of v**8/2880 - v**7/3780 + 5*v**4/12 - 4*v. Let z(j) be the third derivative of f(j). Factor z(o).
o**2*(7*o - 2)/3
Let a(z) be the second derivative of 0*z**2 - 1/28*z**4 + 1/14*z**3 + 2*z + 0. Determine x, given that a(x) = 0.
0, 1
Suppose 24*p - 9*p = 30. Determine z so that -4/13*z + 2/13 + 2/13*z**p = 0.
1
Let t = 8 - 6. Determine h, given that 2*h**2 + 2*h**4 + 0 - h**4 - t*h**4 - 1 = 0.
-1, 1
Let x be 5*16/(-12)*(-9)/12. Factor -1/5*f**x - 2/5*f**3 + 1/5 + 3/5*f - 3/5*f**4 + 2/5*f**2.
-(f - 1)*(f + 1)**4/5
Let s(r) be the third derivative of r**5/45 - r**4/9 + 2*r**3/9 - 12*r**2. Factor s(u).
4*(u - 1)**2/3
Let l(h) = h**3 - h**2 - 1. Let q(f) = 2 - 2*f + 0*f**4 + 33*f**2 - 2*f**4 - 29*f**2. Let i(g) = 2*l(g) + q(g). Factor i(a).
-2*a*(a - 1)**2*(a + 1)
Let y(t) = -2*t - 6. Let z be y(-4). Factor -1/2*r + 0 - r**z.
-r*(2*r + 1)/2
What is v in -2/5*v**2 + 4/5*v**3 - 4/5*v + 3/5*v**4 - 1/5 = 0?
-1, -1/3, 1
Let s(v) = 2*v - 15. Let t be s(10). Let 2*h**5 - h**3 + 5*h**5 + 3*h**2 - 4*h**t - 2*h**3 - 3*h**4 = 0. Calculate h.
-1, 0, 1
Let m be 0 + 1/((-84)/(-23)). Let u = -1/42 + m. Determine a, given that 3/4*a + u*a**3 + 1/4 + 3/4*a**2 = 0.
-1
Factor 0*d + 0 + 0*d**2 - 45/8*d**5 + 3/4*d**3 + 3/8*d**4.
-3*d**3*(3*d + 1)*(5*d - 2)/8
Let o(s) be the second derivative of -s**6/60 + s**4/8 - s**3/6 + 2*s. Find w such that o(w) = 0.
-2, 0, 1
Let h(m) be the third derivative of m**8/20160 + m**7/3780 + m**6/2160 + m**4/12 + 2*m**2. Let r(b) be the second derivative of h(b). Factor r(p).
p*(p + 1)**2/3
Let k = 3 - -1. Find n such that -n**2 + 4*n + k*n**2 - 5*n - 2*n**2 = 0.
0, 1
Let s = 17 - 0. Let v = -15 + s. Factor -2/3*i**v - 2/3*i**4 - 4/3*i**3 + 0*i + 0.
-2*i**2*(i + 1)**2/3
Suppose 0 = g + 3*q - 15, -2*g = -5*g + 4*q - 20. Let d(r) be the second derivative of 1/10*r**5 - r + g*r**3 + 1/6*r**4 + 0*r**2 + 0. Factor d(a).
2*a**2*(a + 1)
Let n(w) be the third derivative of -w**5/180 + w**4/12 + 7*w**3/18 + 22*w**2. Factor n(f).
-(f - 7)*(f + 1)/3
Factor 5/3*f**2 + 0 - 2/3*f.
f*(5*f - 2)/3
Let 6/5*o**4 - 6/5*o**2 - 2/5*o**3 - 2/5*o**5 + 0 + 4/5*o = 0. What is o?
-1, 0, 1, 2
Let w be (2/3 - 0)*(-6)/(-12). Let d(z) be the first derivative of 0*z**3 - 1/2*z**4 - 1 + 0*z**5 + w*z**6 + 0*z + 0*z**2. Factor d(s).
2*s**3*(s - 1)*(s + 1)
Let c(r) be the first derivative of -2*r**5/5 + 5*r**4/2 - 6*r**3 + 7*r**2 - 4*r + 9. Factor c(d).
-2*(d - 2)*(d - 1)**3
Let m(l) be the second derivative of -l**5/20 + l**4/18 + l**3/18 + 7*l. Suppose m(f) = 0. What is f?
-1/3, 0, 1
Let b(i) be the first derivative of 1/4*i**2 + 2 + 1/4*i + 1/12*i**3. Determine v so that b(v) = 0.
-1
Suppose 0 = 2*f - 3*m, 0 = m - 0 + 4. Let h(r) = -r**3 - 6*r**2 - 2*r - 9. Let a be h(f). Let 4*g - 5*g**3 + 3*g**a - 2*g - 2*g**2 + 2 = 0. Calculate g.
-1, 1
Suppose 5*g = 8*g - 12. Suppose -6*i**3 - 5*i**4 - 3*i**2 + 0*i**3 + 4*i**4 - 2*i**g = 0. Calculate i.
-1, 0
Determine j, given that -1 + 42*j**2 - 2*j**3 + j + 51*j**2 - 91*j**2 - j**4 + j**5 = 0.
-1, 1
Let d(z) be the third derivative of z**6/60 + z**5/15 + 15*z**2. Factor d(f).
2*f**2*(f + 2)
Suppose 0 = -5*j + j. Suppose -6 = 2*q + 4*f, -4*q - f - 1 = -10. Factor -2/3*w**q + 2/3*w + 0 + j*w**2.
-2*w*(w - 1)*(w + 1)/3
Let f be (-40)/1056*-16 + (-4)/(-6). Determine p so that 30/11*p - f*p**2 + 2/11*p**3 - 18/11 = 0.
1, 3
Determine q so that -6/5*q - 2/5*q**2 - 4/5 = 0.
-2, -1
Let r(i) be the first derivative of -2*i**3/9 + 4*i**2/3 - 8*i/3 - 52. Let r(w) = 0. What is w?
2
Let g(n) = -2*n**4 + 2*n**3 + 5*n**2 + 5*n - 5. Let d(b) = -b**2 - b + 1. Let q(k) = -5*d(k) - g(k). Solve q(r) = 0 for r.
0, 1
Let q(c) = 2*c**3 - 2*c**2 - 3*c**2 - 6*c**4 - c**2. Let s(r) = 7*r**4 - 2*r**3 + 7*r**2. Let z(j) = -6*q(j) - 5*s(j). Suppose z(o) = 0. What is o?
0, 1
Solve -6*l**2 + 5*l**3 + 2*l**2 - l**3 = 0.
0, 1
Let o(a) = -a**2 + 6*a - 10. Let s(j) = 2*j**2 - 11*j + 19. Let g(p) = -5*o(p) - 3*s(p). Let y(v) = -v**2 + 3*v - 8. Let i(k) = -6*g(k) + 5*y(k). Factor i(q).
(q - 2)*(q - 1)
Suppose 9*m - 2*m - 7 = 0. Determine q, given that 1/2*q**2 + 3/2*q + m = 0.
-2, -1
Let u be 16/36*(-18)/(-4). Let j(h) be the first derivative of -3/7*h**2 - 4/7*h - 2/21*h**3 + u. Factor j(g).
-2*(g + 1)*(g + 2)/7
Let -9/4*c + 9/4*c**3 - 3/4*c**4 + 3/2 - 3/4*c**2 = 0. Calculate c.
-1, 1, 2
Suppose -3 + 1 = -v. Suppose 3*h + 5*i = 5*h - 31, -2*i + 2 = 4*h. Let -8*t**v + 10*t + 2 - 6 - 3*t**3 + 5*t**h = 0. Calculate t.
1, 2
Let k be (-20)/(-25)*(1 + 4). Let l(m) be the second derivative of -2/45*m**6 - 1/30*m**5 + 0 + 2*m + 0*m**k + 0*m**2 + 0*m**3. Suppose l(j) = 0. Calculate j.
-1/2, 0
Let w(v) be the second derivative of 2*v + 1/10*v**3 + 3/5*v**2 - 1/20*v**4 + 0. Factor w(j).
-3*(j - 2)*(j + 1)/5
Let j = -32/9 + 169/45. What is c in -4/5*c + 4/5 + j*c**2 = 0?
2
Solve -1/2*g**5 + 1/2*g**3 + 0*g**2 + 0 + 0*g**4 + 0*g = 0.
-1, 0, 1
Let c(g) be the second derivative of -2*g**7/21 + 8*g**6/15 - 3*g**5/5 + 13*g. Factor c(a).
-4*a**3*(a - 3)*(a - 1)
Let w = 353 + -351. Factor 8/3*a + 8/3*a**3 - 2/3 - 4*a**w - 2/3*a**4.
-2*(a - 1)**4/3
Let d = 10/41 + 134/123. Factor d + 4/3*g - g**2.
-(g - 2)*(3*g + 2)/3
Determine f so that -49/6*f**3 + 5/2*f**4 - 4/3 + 2/3*f + 19/3*f**2 = 0.
-2/5, 2/3, 1, 2
Let m(y) be the first derivative of y**5/15 - y**4/12 - y**3/9 + y**2/6 + 2. Factor m(o).
o*(o - 1)**2*(o + 1)/3
Let n(f) be the first derivative of f**6/600 - f**5/300 - f**4/60 + 3*f**2/2 - 3. Let j(r) be the second derivative of n(r). Factor j(h).
h*(h - 2)*(h + 1)/5
Suppose 4*w - 7*w + 18 = 0. Suppose 0 = w*f - f. Let 4/5*n + f - 7/5*n**3 + 12/5*n**2 = 0. What is n?
-2/7, 0, 2
Let j(z) = z**2 + 16*z + 4. Let f(x) = 3*x**2 + 63*x + 15. Let m(t) = 4*f(t) - 15*j(t). Factor m(k).
-3*k*(k - 4)
Let l(r) be the first derivative of -2*r**3/15 + 3*r**2/5 - 4*r/5 - 4. Find c such that l(c) = 0.
1, 2
Let q(z) be the second derivative of z**5/100 - z**4/12 + 4*z**3/15 - 2*z**2/5 + z. Factor q(w).
(w - 2)**2*(w - 1)/5
Let w(x) = -115*x**4 + 195*x**3 - 65*x**2 - 20*x + 5. Let d(j) = -57*j**4 + 98*j**3 - 33*j**2 - 10*j + 2. Let f(a) = 5*d(a) - 2*w(a). Factor f(l).
-5*l*(l - 1)**2*(11*l + 2)
Let c(d) be the first derivative of d**4/20 + d**3/15 - d**2/5 - 18. Factor c(r).
r*(r - 1)*(r + 2)/5
Let f be 7/(-10)*30/4. Let k = -5 - f. Find p, given that 0 + k*p**2 - 1/2*p = 0.
0, 2
Let h = 25 + -13. Suppose q + 6 = k - 0*k, -h = k + 5*q. Factor -3/4*a - 1/4*a**k + 1/4 + 3/4*a**2.
-(a - 1)**3/4
Let u(j) = -j**2 - 9*j + 2. Let b be u(-9). Let k(r) be the second derivative of 1/20*r**5 - 1/2*r**b + 0 + r - 1/6*r**3 + 1/12*r**4. Factor k(g).
(g - 1)*(g + 1)**2
Suppose 3*n + 17 + 3 = -4*q, -5*n = 4*q + 20. Let f(m) be the second derivative of 0*m**4 + n - m + 0*m**2 + 1/50*m**5 - 1/15*m**3. Fac