 - 2 - h**3 - 7*h**4 = 0 for h.
-1, -2/7, 1
Let z = 1432/175 + -26/25. Let 60/7*s**2 + z*s**3 - 72/7*s + 16/7 = 0. What is s?
-2, 2/5
Let o(g) = 2*g**2 + g + 2*g**2 + 1 - 2*g. Let m be o(1). Factor 2*t**m - 4*t**3 + 2*t**3 + 3*t**3 + t**5.
t**3*(t + 1)**2
Let h be (4/(-6))/(-12 + (-140)/(-12)). Let 0 + 2/5*x**3 + 0*x - 2/5*x**h = 0. What is x?
0, 1
Let i(q) = q**2 - 8*q + 4. Let h be i(8). Factor -13*j**4 + 10*j**h - 3*j**2 + 6*j**3 + 0*j**2 + 0*j**2.
-3*j**2*(j - 1)**2
Let k(w) = 2*w**2 + 2*w - 2. Let b be k(-2). Let y(a) = -a + 4. Let t be y(b). Determine z so that -z + 0*z - 5*z + 4 + 2*z**t = 0.
1, 2
Let i(t) be the third derivative of 9*t**7/70 + 3*t**6/20 - 23*t**5/20 + t**4/2 + 2*t**3 + 16*t**2. Determine a so that i(a) = 0.
-2, -1/3, 2/3, 1
Let p(g) = g**2 + g. Let a = 13 - 3. Let h(n) = 2*n**3 - 7*n**2 - 15*n - 6. Let b(d) = a*p(d) + 2*h(d). Let b(u) = 0. Calculate u.
-1, 3
Let v(i) be the first derivative of 4*i**3/3 + 2*i**2 - 8*i + 12. Suppose v(h) = 0. What is h?
-2, 1
Let v(y) = 3*y**4 - y**2. Let b(f) = 4*f**4 - f**2. Let j(x) = 2*b(x) - 3*v(x). Factor j(a).
-a**2*(a - 1)*(a + 1)
Let h(y) be the third derivative of y**5/140 - 3*y**4/56 + y**3/7 - 16*y**2. Determine g, given that h(g) = 0.
1, 2
Let w(x) be the first derivative of -21*x**4/2 + 68*x**3/3 - 52*x**2/3 + 16*x/3 - 44. Factor w(v).
-2*(3*v - 2)**2*(7*v - 2)/3
Let z be 56/105*(-10)/(-4). Factor z*l - 2/3*l**2 + 0.
-2*l*(l - 2)/3
Solve d**3 - 6*d**2 - 4*d**2 + 2*d**2 - 5*d**3 = 0.
-2, 0
Let g be ((-2)/3)/((-6)/27). Suppose 0*c + 7 = 2*c - g*k, -5*c + 6 = 4*k. Factor 11 - 11 + 2*z**3 - c*z.
2*z*(z - 1)*(z + 1)
Let s(w) be the first derivative of 4 - 4/15*w**3 - 2/25*w**5 + 0*w - 3/10*w**4 + 0*w**2. Factor s(a).
-2*a**2*(a + 1)*(a + 2)/5
What is h in 0*h**2 - 2*h**3 + 2*h**2 - 4*h**2 + h**5 + 2*h**4 + h**5 = 0?
-1, 0, 1
Suppose -y - 32 = -3*o - 0*o, o - 2*y - 19 = 0. Find q, given that 0*q**2 - 2*q**2 + o*q - 7*q = 0.
0, 1
Find y, given that 34*y - 83*y - y**3 - 2 + 44*y - 4*y**2 = 0.
-2, -1
Let m(y) = 21*y**2 - 41*y + 31. Let o(b) = 3 - 4 - 4*b**2 - 5 + 8*b + 0. Let r(t) = 2*m(t) + 11*o(t). Determine g so that r(g) = 0.
1, 2
Let g(a) = a - 2. Let n be g(2). Suppose 3*i + 0*i = n. Factor 1/2*t**2 + i - 1/2*t.
t*(t - 1)/2
Let z(r) = -r**2 - 1. Let a(k) = 7*k**2 - 10*k + 1. Let c(l) = -2*a(l) - 18*z(l). Factor c(g).
4*(g + 1)*(g + 4)
Let k(z) be the second derivative of -z**5/30 + 3*z**2/2 + 4*z. Let x(a) be the first derivative of k(a). Find q, given that x(q) = 0.
0
Let i(q) be the second derivative of -q**7/5040 + q**4/12 + 3*q. Let l(t) be the third derivative of i(t). Find y, given that l(y) = 0.
0
Let h be (2 - -1)*1/1. Factor 3*q + h*q**2 - 6*q**2 - 6*q - 3*q + 9.
-3*(q - 1)*(q + 3)
Let n(v) be the first derivative of 0*v + 1/10*v**5 - 1/6*v**3 - 1/24*v**6 + 0*v**4 - 1 + 1/8*v**2. Solve n(c) = 0 for c.
-1, 0, 1
Let h = -6 + 9. Suppose 4*l - 40 = -5*s, -s - h*s = l - 21. Let 4*n**2 - 14*n**s - 10*n**3 - 4*n**2 + 4*n**2 = 0. Calculate n.
-1, 0, 2/7
Let k(v) be the third derivative of -v**7/945 - v**6/540 + v**5/270 + v**4/108 - 8*v**2. Factor k(m).
-2*m*(m - 1)*(m + 1)**2/9
Let s(y) be the third derivative of 8*y**7/35 + y**6/5 - 3*y**5/4 - y**4 - y**3/2 - 4*y**2. Suppose s(n) = 0. Calculate n.
-1, -1/4, 1
Suppose -2*q - 5 = 10*p - 11*p, 0 = 5*p - 2*q - 25. Let n(g) be the second derivative of 0 - 2*g - 1/6*g**4 + 1/10*g**p + 0*g**3 + 0*g**2. Factor n(s).
2*s**2*(s - 1)
Let o(k) be the second derivative of 0*k**2 + 2*k - 1/18*k**4 + 0 - 1/9*k**3. Factor o(d).
-2*d*(d + 1)/3
Factor v**2 + 9*v - 5*v - 8*v + 3.
(v - 3)*(v - 1)
Let 5/8*o**3 - 1/8*o**4 + 0 + 0*o + 0*o**2 = 0. Calculate o.
0, 5
Let 4 + m - 8*m**4 + 4*m**2 + m + m - 13*m + 8*m**3 + 2*m**5 = 0. What is m?
-1, 1, 2
Let k(p) be the third derivative of p**7/630 - p**6/90 + p**5/30 - p**4/18 + p**3/18 + 12*p**2. Factor k(l).
(l - 1)**4/3
Let c(n) be the second derivative of n**8/26880 - n**7/10080 - n**6/2880 + n**5/480 + n**4/4 + 4*n. Let t(i) be the third derivative of c(i). Factor t(q).
(q - 1)**2*(q + 1)/4
Let q(k) be the second derivative of -k**4/15 + 4*k**3/15 - 2*k**2/5 + 19*k. Determine s, given that q(s) = 0.
1
Let k(l) be the third derivative of 2*l**2 + 0*l**6 + 0*l - 1/105*l**7 + 1/30*l**5 + 0*l**3 + 0 + 0*l**4. Let k(d) = 0. Calculate d.
-1, 0, 1
Let j = -43 - -216/5. Let p = 127/140 - 3/28. Suppose -j*k**2 - 4/5*k - p = 0. Calculate k.
-2
Factor 32/11 + 16/11*c + 2/11*c**2.
2*(c + 4)**2/11
Let k(d) = -d**2 - 4*d - 6. Let x(g) = -2*g**2 - 4*g - 6. Suppose -j - 3 = -0*j. Let y(w) = j*x(w) + 4*k(w). Factor y(p).
2*(p - 3)*(p + 1)
Let x(w) = 13*w**5 + 45*w**4 + 24*w**3 - 67*w**2 - 5*w - 5. Let q(g) = 7*g**5 + 23*g**4 + 12*g**3 - 33*g**2 - 3*g - 3. Let z(o) = -5*q(o) + 3*x(o). Factor z(b).
4*b**2*(b - 1)*(b + 3)**2
Suppose -288 = -2*u - 284. Suppose -9/4 + 5/4*z**u - 1/4*z**3 - 3/4*z = 0. What is z?
-1, 3
Let o(r) be the first derivative of -4*r**5/5 - 3*r**4 - 4*r**3 - 2*r**2 + 12. Solve o(b) = 0.
-1, 0
Let a(x) be the third derivative of 1/189*x**7 + 0 - 2/135*x**5 + 0*x**3 - 1/1512*x**8 + 2/27*x**4 + 0*x - 4*x**2 - 1/90*x**6. Determine z, given that a(z) = 0.
-1, 0, 2
Let p(s) be the second derivative of -2*s**7/105 - s**6/75 + s**5/50 - 5*s. Find c, given that p(c) = 0.
-1, 0, 1/2
Let w(o) be the third derivative of -o**6/200 + o**5/50 + 2*o**2. Factor w(b).
-3*b**2*(b - 2)/5
Let h = 2 - -5. Suppose 3*q = 2*s + h, 0 = -3*q - 2*s + 1 + 10. Factor -11 + 0*n + 9 - q*n - n**2.
-(n + 1)*(n + 2)
Let n be (1/(-2))/(27/(-6)). Let a(r) be the first derivative of 1/3*r - 4/3*r**4 - 1 + 3/5*r**5 + 14/9*r**3 - n*r**6 - r**2. Determine x so that a(x) = 0.
1/2, 1
Factor 0*x**2 + 6/7*x - 2/7*x**3 - 4/7.
-2*(x - 1)**2*(x + 2)/7
Determine r so that 2*r**4 - 1 - 5/2*r + 2*r**3 + 1/2*r**5 - r**2 = 0.
-2, -1, 1
Let c(j) be the first derivative of -j**5/20 - 2*j**4/15 - j**3/30 + j**2/5 + j - 2. Let s(k) be the first derivative of c(k). Let s(u) = 0. Calculate u.
-1, 2/5
Let y(s) = -5*s**3 - s**2 - s - 1. Let z be y(-1). Factor 4*m**3 + m**4 - 6*m**4 - m**2 + 3*m**z - m**2.
-2*m**2*(m - 1)**2
Let g be 0 + (-7)/(21/(-9)). Factor -1/7*w - 1/7*w**4 + 1/7*w**g + 1/7*w**2 + 0.
-w*(w - 1)**2*(w + 1)/7
Let z(o) be the third derivative of o**7/315 - o**6/135 - o**5/135 + o**4/27 - o**3/27 - o**2. Suppose z(p) = 0. Calculate p.
-1, 1/3, 1
Find p, given that 9 - 21*p**4 + 48*p**2 - 9 + 15*p**3 + 8*p + 4*p = 0.
-1, -2/7, 0, 2
Let t(w) be the first derivative of 2/5*w**5 + 10/3*w**3 + 0*w - 1 + 2*w**4 + 2*w**2. Let t(f) = 0. Calculate f.
-2, -1, 0
Let u(z) = -z**2 - 2 + 3 - 2*z**4 - z**3 + z**4. Let y = 55 + -54. Let p(k) = 15*k**4 + 29*k**3 + 23*k**2 + 4*k - 5. Let l(w) = y*p(w) + 5*u(w). Factor l(a).
2*a*(a + 1)**2*(5*a + 2)
Let t(p) be the third derivative of p**5/20 + p**4/8 - p**3 - 8*p**2. Factor t(f).
3*(f - 1)*(f + 2)
Let i be 1/(-2) - 3/(-2). Suppose -f + 1 + i = 0. Solve -32/3*u - f*u**3 + 8/3 + 26/3*u**2 = 0.
1/3, 2
Let g be 10*2/1*1. Let l = g - 39/2. Determine s, given that 1/4*s**3 + l*s**2 + 0 + 1/4*s = 0.
-1, 0
Suppose q = -4*q - 25. Let l(t) = -t - 3. Let u be l(q). Determine v, given that 2*v**2 + 0*v - v**2 + 1 - u*v = 0.
1
Let d(y) be the third derivative of -y**8/840 + y**6/180 - y**3/2 - y**2. Let z(s) be the first derivative of d(s). Factor z(r).
-2*r**2*(r - 1)*(r + 1)
Let n(b) be the first derivative of 6*b**3 - 5 + 2/5*b**5 + 7*b**2 + 5/2*b**4 + 4*b. Factor n(g).
2*(g + 1)**3*(g + 2)
Let j(o) = 4*o**3 + 16*o**2 + 36*o + 12. Let t(v) = 8*v**3 + 31*v**2 + 73*v + 23. Let x(y) = 9*j(y) - 4*t(y). Let x(k) = 0. Calculate k.
-2, -1
Let p(a) be the second derivative of a**4/42 - a**2/7 + 12*a. Suppose p(i) = 0. What is i?
-1, 1
Let l = -2 + 2. Factor 6*c**4 - 4*c**4 - 3*c**4 + c**2 + l*c**2.
-c**2*(c - 1)*(c + 1)
Factor 17*x + 11*x**2 + 3*x**5 - 2*x**5 - 5*x**3 + 16 + 14*x**2 - 5*x**4 + 23*x.
(x - 4)**2*(x + 1)**3
Suppose -16 = 2*y - 6*y. Suppose 3*s + 6*c = 3*c + 3, 0 = y*s - c + 1. Factor 0*g**2 + 2*g**2 + 2*g + s*g.
2*g*(g + 1)
Let p = -76 - -76. Let v(k) be the second derivative of 0 + 0*k**2 - k + p*k**3 + 0*k**5 + 1/12*k**4 - 1/30*k**6. Determine j so that v(j) = 0.
-1, 0, 1
Let 8*i**2 - 4*i**2 + 35*i - 15*i = 0. Calculate i.
-5, 0
Factor 0 + l**2 - 2/5*l - 4/5*l**3 + 1/5*l**4.
l*(l - 2)*(l - 1)**2/5
Let b