*2 + a = 0?
0, 1
Let h(x) be the second derivative of 7/12*x**4 + 0*x**2 - 1/3*x**3 - 5*x + 0. Let h(v) = 0. Calculate v.
0, 2/7
Let i(f) = -f**2 - 8*f - 8. Let w be i(-6). Let c = 4 - w. Factor -2/7*p**3 + c*p + 0 + 2/7*p**2.
-2*p**2*(p - 1)/7
Let t(n) be the first derivative of n**5/90 + n**4/36 - 2*n**3/9 + n**2 - 2. Let j(r) be the second derivative of t(r). Factor j(d).
2*(d - 1)*(d + 2)/3
Let f(s) = -s**2 + 14*s + 97. Let o be f(19). Let p(c) be the second derivative of -5/9*c**3 + 1/6*c**4 + 0 - 5*c + 2/3*c**o. Determine u so that p(u) = 0.
2/3, 1
Let k(h) be the first derivative of -6 + 9/16*h**4 - 9/8*h**2 - 1/2*h - 5/12*h**3 + 7/20*h**5. Find m, given that k(m) = 0.
-1, -2/7, 1
Let j = -12 - -15. Suppose 46/9*d**2 - 2*d - 16/3*d**4 + 32/9*d**5 - 14/9*d**j + 2/9 = 0. Calculate d.
-1, 1/4, 1
Let r = 31/28 + -6/7. Let b = 2/17 + 9/68. Solve -r*a**2 + 0 + b*a = 0 for a.
0, 1
Let c = -65/6 + 34/3. Factor -c*v + 1/4 + 1/4*v**2.
(v - 1)**2/4
Let n(u) = -u**3 - u**2 - u - 1. Let x(z) = -150*z**3 + 102*z**2 + 141*z - 111. Let t(r) = 3*n(r) - x(r). Solve t(l) = 0 for l.
-1, 6/7
Let c be (5 + -2)/1 - (-7 - -7). What is b in -2/3*b**4 + 0 + 2/3*b**2 - 2/3*b**c + 2/3*b = 0?
-1, 0, 1
Let h(r) be the second derivative of -7*r**4/4 + 8*r**3 - 6*r**2 - 15*r. Factor h(f).
-3*(f - 2)*(7*f - 2)
Let r be 20 + -17 + -1 + 1. Let p(w) be the first derivative of 8/7*w + 10/21*w**3 + 8/7*w**2 - r + 1/14*w**4. Factor p(t).
2*(t + 1)*(t + 2)**2/7
Let a(u) be the third derivative of u**6/180 + u**5/36 + u**4/72 - u**3/9 - 2*u**2. Let a(w) = 0. Calculate w.
-2, -1, 1/2
Let y(j) be the first derivative of 7*j**4/4 + 4*j**3 - 2*j**2 - 18. Solve y(a) = 0.
-2, 0, 2/7
Let o(z) be the second derivative of -z**6/20 + 3*z**5/40 + z**4/8 - z**3/4 - 6*z. Factor o(h).
-3*h*(h - 1)**2*(h + 1)/2
Let a(u) = 15*u**4 - 26*u**2. Let y(q) = -q + 1. Let r be y(-1). Let i(k) = 3*k**4 - 5*k**2. Let n(b) = r*a(b) - 11*i(b). Factor n(m).
-3*m**2*(m - 1)*(m + 1)
Suppose u = -z, -z - 5 = -u + 1. Factor 8/11*s - 8/11 - 2/11*s**4 - 4/11*s**u + 6/11*s**2.
-2*(s - 1)**2*(s + 2)**2/11
Let p(t) be the third derivative of -t**6/40 + 3*t**5/20 - 3*t**4/8 + t**3/2 - 13*t**2. Let p(i) = 0. What is i?
1
Let m(q) be the first derivative of q**3/12 + q**2/8 - q/2 + 8. Factor m(v).
(v - 1)*(v + 2)/4
Suppose 0 = -3*s - 5*x - 11, s + s - 26 = 5*x. Let c = s + -5/2. Solve d - c*d**2 - 1/2 = 0.
1
Let y = 17/15 + -4/5. Let -y*b**3 + 1/3*b**4 + 0*b**2 + 0 + 0*b = 0. Calculate b.
0, 1
Let z be 25/(-15) - 4*(-2)/4. Find t, given that -z*t + 2/3 + 1/3*t**3 - 2/3*t**2 = 0.
-1, 1, 2
Let k(x) be the third derivative of 0 + 0*x - 1/240*x**5 - 1/6*x**3 - 1/24*x**4 - 8*x**2. Find p such that k(p) = 0.
-2
Suppose 3*b = 7*b - 0*b. Factor -1/4*k**3 + 1/2*k**2 + b*k + 0.
-k**2*(k - 2)/4
Let r(u) be the third derivative of u**5/270 - 7*u**4/54 + 49*u**3/27 - 35*u**2. Factor r(b).
2*(b - 7)**2/9
Let q(p) = p + 5. Let z be q(-3). Let m(d) be the third derivative of 1/300*d**5 + 0 + 0*d + 0*d**3 + 1/600*d**6 + d**z + 0*d**4. Factor m(w).
w**2*(w + 1)/5
Let o be (-3)/(-3) - (1287/27)/(-11). Factor 0 + o*s + 18*s**4 + 36*s**3 + 24*s**2.
2*s*(3*s + 2)**3/3
Let p(w) = -13*w**3 - 6*w**2 + 4*w - 6. Let x(m) = -14*m**3 - 5*m**2 + 4*m - 7. Let z(v) = -7*p(v) + 6*x(v). What is n in z(n) = 0?
-2, 0, 2/7
Let s(u) be the second derivative of u**6/90 + u**5/20 - 2*u. What is r in s(r) = 0?
-3, 0
Suppose -2*h + 2 = 2*c, -2*h = 3*h - 2*c - 12. Let u be 7/h + (-8)/16. Find j such that 0 + 0*j + 1/6*j**5 + 0*j**2 + 1/6*j**4 + 0*j**u = 0.
-1, 0
Let i(n) = n**4 + 7*n**3 - 5*n**2 + 3*n + 3. Let r(l) = -2*l**4 - 6*l**3 + 6*l**2 - 2*l - 2. Let w(s) = 2*i(s) + 3*r(s). Factor w(a).
-4*a**2*(a - 1)*(a + 2)
Suppose -4*i + 2*m = -11 - 1, 6 = 2*i - 2*m. Let -4*z**3 - 2 + 0 + z**3 - z + 3*z**2 - z**4 + 4*z**i = 0. Calculate z.
-1, 1, 2
Let h(b) = -16*b**2 - 4*b - 6. Let p(m) = -15*m**2 - 4*m - 5. Suppose -2*n = -9 + 21. Let c(d) = n*p(d) + 5*h(d). What is t in c(t) = 0?
-2/5, 0
Let n(f) be the first derivative of -f**6/33 + 3*f**4/22 + 4*f**3/33 - 46. Factor n(x).
-2*x**2*(x - 2)*(x + 1)**2/11
Suppose -4*r**2 - 311 + 59*r + 115 - 3*r = 0. What is r?
7
Let c be (-4)/6 + (-5)/(-30)*4. Determine f, given that -1/2 + 1/4*f**3 - 3/4*f + c*f**2 = 0.
-1, 2
Let c(l) = -l**2 - l - 1. Let u(p) = 3*p**3 + 24*p**2 + 24*p + 18. Let n(o) = -15*c(o) - u(o). Find y such that n(y) = 0.
-1
Suppose -k + 5*k - 12 = 0. Suppose -k*i + 12 = -0*i. What is s in -4*s**2 - 3*s**4 + s**i + 6*s**2 = 0?
-1, 0, 1
Let t(l) be the second derivative of l**7/21 - 3*l**6/20 + l**5/20 + l**4/3 - l**3/2 + l**2/4 + 7*l. Factor t(y).
(y - 1)**3*(y + 1)*(4*y - 1)/2
Let p(c) be the second derivative of 1/6*c**4 + 0*c**2 - 7*c + 0 + 1/3*c**3. Factor p(h).
2*h*(h + 1)
Let j(q) be the first derivative of q**6/33 + 6*q**5/55 - 8*q**3/33 - 5. Factor j(c).
2*c**2*(c - 1)*(c + 2)**2/11
Suppose 0*c + 51 = -4*w - 5*c, 0 = -3*w - 4*c - 39. Let d be (12/w)/(-4)*3. Factor -6*x**2 - d + 3*x**2 + 4*x**2.
(x - 1)*(x + 1)
Let b = 119/576 + 1/64. Suppose -2/9*s + 0 + b*s**2 = 0. Calculate s.
0, 1
Let l = 172 - 168. Let a(m) be the third derivative of 1/5*m**3 + 4/25*m**5 + 11/40*m**l + 2*m**2 + 7/200*m**6 + 0*m + 0. Factor a(v).
3*(v + 1)**2*(7*v + 2)/5
Let p(q) = q**3 + 4*q**2 + q - 3. Let f be p(-3). Suppose 0 = f*k - 10 + 1. Factor 0 - 2/5*g**k - 8/5*g - 8/5*g**2.
-2*g*(g + 2)**2/5
Let j = -8063/3 - -2733. Suppose 1 = 4*k - 7. Find h, given that j*h + 350/3*h**3 - 380/3*h**k - 16/3 = 0.
2/7, 2/5
Let l(n) be the second derivative of 1/21*n**4 + 0 - 1/7*n**2 + 1/21*n**3 + 2*n. Determine m so that l(m) = 0.
-1, 1/2
Factor -1/6*v**2 + 1/3*v + 0.
-v*(v - 2)/6
Let a(q) = -2*q**3 - 4*q**2 - 4. Let g be 2 + -2 + (-2 - -3). Let j(w) = w**2 + 1. Let n(m) = g*a(m) + 4*j(m). Factor n(b).
-2*b**3
Let a(z) be the second derivative of z**5/50 + z**4/30 - z**3/15 - z**2/5 - 9*z. Factor a(o).
2*(o - 1)*(o + 1)**2/5
Suppose 0 = 5*g + z - 7, -5*g + 3*z + 11 = -4*g. Find c such that -2/3*c**5 + 8/3*c**g - 4/3 - 4/3*c**4 + 4/3*c**3 - 2/3*c = 0.
-2, -1, 1
Let k = 3/5 - 6/35. Factor 6/7 + 3/7*g**3 - k*g - 6/7*g**2.
3*(g - 2)*(g - 1)*(g + 1)/7
Let w be 100/(-350) - (0 - (-4)/(-14)). Let l(x) be the first derivative of -3 - 1/4*x**4 + 1/2*x**2 + w*x**3 + 0*x. Suppose l(r) = 0. Calculate r.
-1, 0, 1
What is h in -41*h - 3*h**2 + 80 - 20*h + 111*h + 8*h**2 = 0?
-8, -2
Let q(l) = -14*l**2 - 414*l - 2722. Let j(g) = -2*g**2 - 59*g - 389. Let d(f) = -44*j(f) + 6*q(f). Factor d(b).
4*(b + 14)**2
Suppose -15*z + 22*z + 13*z + 27*z**2 + 53*z**2 + 25*z**3 - 35*z**4 = 0. What is z?
-1, -2/7, 0, 2
Let r be 1*(-2 - -2) + 2. Factor -4*g**2 + 6*g - 2 + 0 + 2 - r.
-2*(g - 1)*(2*g - 1)
Let d(n) = -5*n**3 + n**2 + 6*n + 4. Let r(m) = 2*m - 3 + 4 - m**3 - m. Let p(j) = -d(j) + 4*r(j). Factor p(g).
g*(g - 2)*(g + 1)
Suppose -10*m - 144 = -14*m. Suppose -x + m = 3*x. Determine a, given that x*a**3 + a**2 + 0 + 95/4*a**4 + 63/4*a**5 + 0*a = 0.
-1, -2/7, -2/9, 0
Let t = 6/311 + 293/933. Factor 1/3 + 0*s - t*s**2.
-(s - 1)*(s + 1)/3
Let h = -6 - -10. Suppose 2*c = -5*a + h, 4*a - 3*a + 7 = -3*c. Factor -5*o**3 + o**3 + o**4 - 3*o**4 - 2*o**a.
-2*o**2*(o + 1)**2
Determine v so that 3/2*v**2 - 2 + 1/2*v**4 - 2*v + 2*v**3 = 0.
-2, -1, 1
Suppose -11*y - 9 = -8*y. Let w be (-2)/(-15)*y/(-2). Factor w*b**4 + 0 - 1/5*b**2 - 1/5*b**3 + 0*b + 1/5*b**5.
b**2*(b - 1)*(b + 1)**2/5
Let w = 5 - 10. Let o = -1 - w. Suppose -r**o - 1 + 10*r - 10*r + 2*r**2 = 0. Calculate r.
-1, 1
What is f in 20/11*f**2 + 0 - 2/11*f**3 - 50/11*f = 0?
0, 5
Let r(o) = o**2 - 11*o + 4. Let d(g) = -15*g**2 + 177*g - 63. Let m(u) = -2*d(u) - 33*r(u). Factor m(f).
-3*(f - 2)*(f - 1)
Let h be 31/12 - ((-84)/(-16) + -4). Let h*v**3 - 4/3*v**2 - 1/3*v**4 + 0 + 0*v = 0. What is v?
0, 2
Find r, given that -3/4*r**2 + 3/2*r**3 - 6*r + 3 = 0.
-2, 1/2, 2
Let s(a) be the third derivative of -a**8/6720 - a**5/60 - 3*a**2. Let y(j) be the third derivative of s(j). Determine w so that y(w) = 0.
0
Solve -12/7*v**2 - 24/7*v - 16/7 - 2/7*v**3 = 0.
-2
Let z(l) be the first derivative of 8*l**3/21 - 9*l**2/7 + 4*l/7 - 11. Factor z(f).
2*(f - 2)*(4*f - 1)/7
Suppose 2*x - 3 = 3*x. Let j = x + 5. What is n in 2*n**3 - 1 + 4*n**5 - 1 + 6*n**4 + j = 0?
-1, -1/2, 0
Suppose 0 = l + 2*l + 27. Let d be (-29)/l + 