or a(z).
-2*(z - 3)**2/7
Determine l so that 5*l**2 + 9*l - 15*l + 20 - 19*l = 0.
1, 4
Let a be (7/2)/(12/24). Suppose w - 9 = -a. What is b in 3 - 4*b + 4/3*b**3 - 2/3*b**w + 1/3*b**4 = 0?
-3, 1
Let g(v) be the first derivative of v**6/16 + 9*v**5/20 + 21*v**4/16 + 2*v**3 + 27*v**2/16 + 3*v/4 - 50. Solve g(u) = 0 for u.
-2, -1
Let s(h) = -5*h**4 + 3*h**3 + 5*h**2 - 3*h + 3. Let w(j) = -9*j**4 + 5*j**3 + 9*j**2 - 5*j + 5. Let p(d) = 5*s(d) - 3*w(d). Determine r so that p(r) = 0.
-1, 0, 1
Suppose 2*m + 5 = 3*m. Find q, given that -1 - 3 - 2*q - 6*q + 5*q**4 + q**m + 0 + 7*q**3 - q**2 = 0.
-2, -1, 1
Suppose 3*x - 1/2*x**2 - 5/2 = 0. Calculate x.
1, 5
Suppose 9*c - 5*c + 72 = 0. Let a be (2/c)/(2/(-12)). Factor -a*m - 1/3*m**2 - 1/3.
-(m + 1)**2/3
Let s be (10 + -8)/(4/1). Find d such that 3*d - 9/2 - s*d**2 = 0.
3
Let p be ((-8)/3)/((-2)/24). What is m in 0 - 2 - 9*m + 27*m - 48*m**2 + p*m**3 = 0?
1/4, 1
Let o(q) = -8*q**3 - 2*q**2 - 2*q - 1. Let i be o(-1). Solve -6*y**2 - 6*y**3 - i*y + 4*y - 2*y**4 + y = 0.
-1, 0
Let q = 1/217 - -429/1085. Suppose -1/5*m**2 + 1/5*m + q = 0. What is m?
-1, 2
Let x = -8 + 14. Let p be 15/x*(-4)/(-35). Suppose -4/7*b + 2/7*b**2 + p = 0. What is b?
1
Let w = -1117 - -2243/2. Suppose -6 = -2*v - 0. Determine y, given that -9/2*y + 3/2*y**5 - 3/2 + 3*y**3 + w*y**4 - v*y**2 = 0.
-1, 1
Suppose 0 = -7*p + 21 - 0. Find d, given that -8/3 - 8/3*d + 2*d**2 - 2/3*d**4 + 4/3*d**p = 0.
-1, 2
Let v(u) be the second derivative of u**7/105 - 2*u**6/75 + u**4/15 - u**3/15 - 26*u. Let v(r) = 0. What is r?
-1, 0, 1
Let f be (-15)/10*(-40)/105. Find p such that -4/7*p + f*p**3 + 0*p**2 - 2/7 + 2/7*p**4 = 0.
-1, 1
Let h(f) = 7*f**2 + 13*f + 13. Let l(q) = -3*q**2 - 6*q - 6. Let w(a) = 2*h(a) + 5*l(a). Determine x so that w(x) = 0.
-2
Let b(f) be the third derivative of f**5/20 - f**4/8 - 2*f**2. Find q such that b(q) = 0.
0, 1
Let r(m) = 0 - 38*m**2 - m**3 + 39*m**2 + 1. Let b(l) = 4*l**3 - 4*l - 6. Let g(n) = b(n) + 6*r(n). Factor g(a).
-2*a*(a - 2)*(a - 1)
Let u(v) be the second derivative of -v**4/36 + v**3/6 + 2*v**2/3 + 2*v. Find y, given that u(y) = 0.
-1, 4
Let n(i) be the first derivative of i**3/12 + 5*i**2/8 + i - 1. Factor n(h).
(h + 1)*(h + 4)/4
Let n(i) = -i. Let a be n(3). Let d(h) = 10*h**3 + 8*h**2 + 7*h - 5. Let g(k) = -k**3 + 1. Let w(b) = a*d(b) - 21*g(b). Find c such that w(c) = 0.
-1, -2/3
Determine v so that 3 + 33*v**5 + 15*v**4 - 28*v**5 - 20*v**2 - 3 = 0.
-2, 0, 1
Let d(a) = 2*a**2 - 11*a + 7. Let j be d(5). Let s(q) be the first derivative of 1/15*q**5 + 0*q**j + 0*q + 0*q**3 + 1/12*q**4 - 1. Factor s(o).
o**3*(o + 1)/3
Let v(a) be the second derivative of 1/6*a**3 + 0 - 2*a - 1/12*a**4 + 0*a**2. Factor v(y).
-y*(y - 1)
Let r(w) be the third derivative of -w**9/30240 + w**8/6720 - w**4/12 - w**2. Let s(d) be the second derivative of r(d). Factor s(b).
-b**3*(b - 2)/2
Suppose 0 = h - 3 - 1. Let b(m) be the second derivative of 0 + 1/9*m**h - 1/45*m**6 + 0*m**5 - 1/3*m**2 + 0*m**3 - 3*m. Suppose b(y) = 0. What is y?
-1, 1
Let i(b) be the first derivative of -b**5/25 + b**4/40 + b**3/15 - b**2/20 + 9. Let i(h) = 0. Calculate h.
-1, 0, 1/2, 1
Let g(l) be the first derivative of -5*l**6/33 + 24*l**5/55 - 9*l**4/22 + 4*l**3/33 + 8. What is b in g(b) = 0?
0, 2/5, 1
Let y(q) be the first derivative of -q**7/1960 + q**6/280 - q**5/140 + 5*q**3/3 + 6. Let m(x) be the third derivative of y(x). Factor m(w).
-3*w*(w - 2)*(w - 1)/7
Suppose -5*t - 5 = -z + 13, 5*z = -2*t + 9. Factor 4/3*i**z - 2/3*i + 0 + 7/3*i**2.
i*(i + 2)*(4*i - 1)/3
Let 0 + 0*i**2 + 0*i - 3/2*i**5 + 0*i**4 + 3/2*i**3 = 0. What is i?
-1, 0, 1
Factor 0*m**3 + 10*m**2 - 6*m**3 + m**3 - 10 + 5*m.
-5*(m - 2)*(m - 1)*(m + 1)
Let v = 296 + -2660/9. Let l = 257/390 + 1/130. Suppose -l*b - 2/9*b**2 - v = 0. Calculate b.
-2, -1
Let q(y) be the second derivative of 7*y**6/180 + y**5/10 + y**4/24 - y**3/18 - 30*y. Factor q(w).
w*(w + 1)**2*(7*w - 2)/6
Let t = -2/5 + 4/5. Let c(f) be the second derivative of -2*f + 3/5*f**3 + 0 + 7/30*f**4 + t*f**2. Factor c(v).
2*(v + 1)*(7*v + 2)/5
Let a(o) = 3*o**2 - 12*o + 14. Let i(f) = 15*f**2 - 60*f + 71. Let j(t) = 11*a(t) - 2*i(t). Factor j(x).
3*(x - 2)**2
Let z(n) = -3*n**3 - 1 - 6*n + 2*n - 2*n**2 + 2*n. Let u be z(-1). Factor -u + 3*b + 4*b**3 + b + 1 - 6*b**2 - b**4.
-(b - 1)**4
Let c(w) = 7*w**2 - 2*w + 1. Let h be c(1). Let j(o) = 5*o**2 - 7*o + 7. Let f(g) = 2*g**2 - 3*g + 3. Let l(z) = h*j(z) - 14*f(z). Find t such that l(t) = 0.
0
Let w(t) = -21*t**5 + 45*t**3 + 24*t**2 - 18*t. Let c(b) = 6*b**5 - 13*b**3 - 7*b**2 + 5*b. Let j(z) = -18*c(z) - 5*w(z). Factor j(q).
-3*q**2*(q - 2)*(q + 1)**2
Solve 0*d**2 + 2/3*d**3 - 1/3 - 2/3*d + 1/3*d**4 = 0 for d.
-1, 1
Suppose 0 = -v + 4 - 5, -4*y + 5*v + 5 = 0. Let z(g) be the first derivative of y*g**2 + 2/9*g**3 - 2/3*g + 2. Factor z(h).
2*(h - 1)*(h + 1)/3
What is f in 2*f - 1/3*f**2 + 0 = 0?
0, 6
Let o(z) = 4*z**3 + 14*z**2 - 6*z - 6. Let w(l) = 12*l**3 + 41*l**2 - 19*l - 17. Let y(n) = -17*o(n) + 6*w(n). Determine u so that y(u) = 0.
-3, 0, 1
Let u(w) be the third derivative of -1/15*w**5 + 0 - w**4 - w**2 - 6*w**3 + 0*w. Let u(h) = 0. What is h?
-3
Let o(b) = 12*b**2 + 96*b + 208. Let m(l) = 4*l**2 + 32*l + 69. Let d(i) = 16*m(i) - 5*o(i). Factor d(k).
4*(k + 4)**2
Let t(w) = -w**2 - 10*w + 11. Let n be t(-11). Factor -3/2*j**3 + n + 7/2*j**2 - j.
-j*(j - 2)*(3*j - 1)/2
Let j(b) be the third derivative of 0*b**3 - 1/210*b**5 - b**2 + 0*b - 1/84*b**4 + 0. Factor j(m).
-2*m*(m + 1)/7
Let z(s) be the first derivative of 0*s - 1 - 1/24*s**4 + 1/60*s**5 + 1/2*s**2 + 0*s**3. Let n(w) be the second derivative of z(w). Factor n(l).
l*(l - 1)
Let s(x) be the first derivative of -18*x**3/5 + 48*x**2/5 + 24*x/5 - 29. Factor s(r).
-6*(r - 2)*(9*r + 2)/5
Factor -12*a**2 + 8 + 11*a**3 + 4*a**4 - 17*a**3 + 4*a + 2*a**3.
4*(a - 2)*(a - 1)*(a + 1)**2
Let u(w) = w**3 + 3*w**2 - w + 1. Let y be u(-3). Factor -y*j - 14 + 14 + 2*j**2.
2*j*(j - 2)
Solve -20/3*d + 2/9*d**2 + 50 = 0 for d.
15
Factor 2/3*p + 2/3*p**3 - 4/3*p**2 + 0.
2*p*(p - 1)**2/3
Let h(q) = -12*q**3 - 12*q**2 + 69*q - 36. Let o(s) = -3*s**3 - 3*s**2 + 17*s - 9. Let p(t) = -2*h(t) + 9*o(t). Factor p(y).
-3*(y - 1)**2*(y + 3)
Let u(s) be the second derivative of 0*s**3 + 0*s**2 + 0 - 1/48*s**4 + 1/20*s**5 - 3*s. Suppose u(t) = 0. Calculate t.
0, 1/4
Let z(a) = -a**3 - 4*a**2 + 4*a - 1. Let k be z(-5). Suppose 3*c**4 - 2*c**5 - 3*c**k + 2*c**4 = 0. What is c?
0, 1
Factor 36 - 8*l**2 + l - 36 + 7*l + 2*l**3.
2*l*(l - 2)**2
Suppose 5*j = -7*j. Suppose 1/3*g**5 + 0*g + j + 1/3*g**2 - 1/3*g**4 - 1/3*g**3 = 0. What is g?
-1, 0, 1
Let b(z) be the third derivative of -z**6/6 - z**5/4 - 26*z**2. Suppose b(u) = 0. Calculate u.
-3/4, 0
Let y(s) be the second derivative of -s**4/6 + s**2 - 5*s. Factor y(f).
-2*(f - 1)*(f + 1)
Let d = -15 + 17. Let y(u) be the second derivative of 11/3*u**3 + 0 - 8/3*u**4 - 2*u**d + 7/10*u**5 - u. Find w such that y(w) = 0.
2/7, 1
Let f be (12/15)/((-2)/(-5)). Factor f*p - 4*p + 3*p + 0*p**3 - p**3.
-p*(p - 1)*(p + 1)
Suppose 4*c = 13 - 1. Factor 3/2 - c*j + 3/2*j**2.
3*(j - 1)**2/2
Let 6*y + 2/7*y**3 - 20/7 - 24/7*y**2 = 0. What is y?
1, 10
Let r(s) be the third derivative of -5/72*s**4 + 0*s + 1/9*s**3 + 0 + 1/60*s**5 + 2*s**2. Determine i, given that r(i) = 0.
2/3, 1
Factor 0 + 0*q - 2/7*q**2 - 2/7*q**3.
-2*q**2*(q + 1)/7
Let d(g) be the third derivative of -1/60*g**5 - 1/6*g**3 + 4*g**2 + 0*g - 1/12*g**4 + 0. Factor d(s).
-(s + 1)**2
Let g(v) be the first derivative of -v**3/4 - v**2/2 - v/4 - 20. Factor g(z).
-(z + 1)*(3*z + 1)/4
Suppose 0 = -8*z + 2 - 2. Let q(b) be the second derivative of b**2 - 1/2*b**3 + 1/20*b**5 + z*b**4 + b + 0. Solve q(u) = 0 for u.
-2, 1
Let u(c) be the third derivative of c**6/2160 - c**3/6 + 4*c**2. Let n(x) be the first derivative of u(x). Factor n(r).
r**2/6
Let m(x) be the second derivative of x**6/6 + 3*x**5/2 - 10*x**4/3 - 5*x**3 + 35*x**2/2 + 27*x + 1. Suppose m(i) = 0. What is i?
-7, -1, 1
Let f(a) be the first derivative of -9*a**4/28 + 2*a**3/21 + 9*a**2/14 - 2*a/7 - 7. Suppose f(h) = 0. Calculate h.
-1, 2/9, 1
Let a(m) be the third derivative of 1/100*m**5 + 1/300*m**6 - 1/1050*m**7 - 1/30*m**4 + 3*m**2 + 0 + 0*m - 2/15*m**3. Let a(z) = 0. Calculate z.
-1, 