h, given that 3*h**2 - 9*h + 9 + y*h - 20*h + 0*h**2 = 0.
1, 3
Let j = 5 - 5. Suppose -l = -o + 5*o + 18, j = l + 2*o + 8. Solve 9/2 + 3/2*g**3 + 15/2*g**l + 21/2*g = 0.
-3, -1
Let v = 11 + -13. Let q be (-10 + (-3 - -5))/v. Factor -2*x**3 - 3*x**2 - x**3 + x**2 + x**q + 4*x**3.
x**2*(x - 1)*(x + 2)
Let v(u) = -u - 2. Let t be v(-6). Solve -t*g + 48 - 48 - 11*g + 5*g**2 = 0.
0, 3
Determine r, given that -63 + 30*r + 2*r**2 + 19*r + 6*r + 3*r - 61 = 0.
-31, 2
Let t = 48 - 50. Let q be 26/(-39)*t*1. Find k such that -1/3*k**2 - q + 4/3*k = 0.
2
Let d = -665 - -1906/3. Let w = d + 30. Suppose w + 1/3*u**2 + 2/3*u = 0. What is u?
-1
Suppose 4*x + 29*y - 34*y = -2, -3*y = -3*x. Factor 0 - x*o - 8/3*o**2.
-2*o*(4*o + 3)/3
Let r(a) be the first derivative of -a**4/120 + a**3/30 + 3*a**2/20 - 9*a + 40. Let n(x) be the first derivative of r(x). Factor n(v).
-(v - 3)*(v + 1)/10
Let d(a) be the second derivative of -a**7/2940 - a**6/1260 - 3*a**3/2 + 11*a. Let l(k) be the second derivative of d(k). Let l(f) = 0. Calculate f.
-1, 0
Factor -68 - 62 + 30 + 150*d + 32 + 3*d**2 - 85.
3*(d - 1)*(d + 51)
Suppose 4*b - 6*y + 502 = -4*y, 3*b + 377 = y. Let t be (-1)/2*36/b. Solve 0*x**2 + 1/7*x**3 + 0*x + 0 - t*x**4 = 0.
0, 1
Let z(d) be the second derivative of 18*d + 1/16*d**4 - 3/4*d**2 - 1/8*d**3 + 0. Factor z(n).
3*(n - 2)*(n + 1)/4
Factor 260/7*s**2 + 8450/7*s + 2/7*s**3 + 0.
2*s*(s + 65)**2/7
Suppose -2*a + 4 = -0*o + 3*o, 5*o = -2*a. Suppose -4*y + 3*t = 5 - 1, 3*y = a*t - 14. Determine m so that -2*m**y - 3*m - m + 0*m = 0.
-2, 0
Let d(u) be the first derivative of 16 - 1/2*u**2 + 0*u + 1/2*u**4 + 0*u**3 + 0*u**5 - 1/6*u**6. Factor d(f).
-f*(f - 1)**2*(f + 1)**2
Let d be (1 + -3)*108/(-72). Suppose -25 = -4*m - d*j, -5*j = -5 - 10. Solve 2/15*a - 8/15*a**2 - 8/15*a**m + 2/15*a**5 + 4/5*a**3 + 0 = 0 for a.
0, 1
Let v be 15/20 - (-1)/(4*-3). Let k(u) be the second derivative of 1/12*u**4 - 1/90*u**6 + u - v*u**2 - 1/30*u**5 + 2/9*u**3 + 0. Suppose k(l) = 0. What is l?
-2, 1
Suppose 0 = 3*f - 9 - 0. Suppose -f*t = -5*l - 28, 4 = -0*t + t + l. Let 1 - 3*q**2 - 3*q + t*q**3 + 2 - 3*q + 0 = 0. Calculate q.
-1, 1/2, 1
Let t = 85 + -71. Suppose h - t*h + 4*h - 3*h**4 + 15*h**2 + 9*h**3 - 12 = 0. Calculate h.
-1, 1, 4
Let y(v) be the first derivative of v**6/3 + 28*v**5/5 + 29*v**4 + 40*v**3/3 - 275*v**2 - 500*v - 153. Solve y(w) = 0 for w.
-5, -1, 2
Factor -914/3*n + 1376/3*n**2 - 308*n**3 - 2/3*n**5 + 76 + 236/3*n**4.
-2*(n - 114)*(n - 1)**4/3
Let g(y) be the first derivative of 5/3*y**3 - 9*y - 3/2*y**2 - 28 - 1/4*y**4. Solve g(t) = 0.
-1, 3
Let 5/3*p**3 + 110/3 - 215/3*p + 100/3*p**2 = 0. What is p?
-22, 1
Solve -1/3*l**2 - 23/3*l - 22/3 = 0 for l.
-22, -1
Let y be 154/7 + 6/(-3). Suppose -y*u - 20 = -24*u. Factor -22/3*k**3 - 14/3*k**u + 32/3*k**4 + 0*k + 4/3*k**2 + 0.
-2*k**2*(k - 1)**2*(7*k - 2)/3
Let s be (-9*1/(-33))/((-24)/(-32)). Factor -8/11*n**3 + 24/11*n - 18/11 - 2/11*n**4 + s*n**2.
-2*(n - 1)**2*(n + 3)**2/11
Suppose 14 - 74 = -15*u. Let w(x) be the first derivative of 1/3*x**3 + 1/2*x**2 - 10 + 1/16*x**u + 0*x. Factor w(y).
y*(y + 2)**2/4
Let s(w) be the first derivative of -w**6/180 + w**5/12 - w**4/3 + w**3/3 + 14. Let m(j) be the third derivative of s(j). Factor m(f).
-2*(f - 4)*(f - 1)
Let w(o) be the third derivative of o**7/420 - o**6/40 + 3*o**5/40 + 35*o**2. Factor w(k).
k**2*(k - 3)**2/2
Let z(q) be the third derivative of -q**6/300 - q**5/100 - q**4/120 - 349*q**2. Factor z(i).
-i*(i + 1)*(2*i + 1)/5
Factor -120*v**4 + 115*v**4 - 215*v**2 - 85 - 38*v - 55*v**3 - 173*v - 134*v - 95.
-5*(v + 1)*(v + 3)**2*(v + 4)
Suppose 3*o = -4*q + 605, q + 3*o = 6*o + 170. Let y = -153 + q. Factor -5/6*l**y + 0 + 1/3*l.
-l*(5*l - 2)/6
Let d = -23767 - -23783. Factor -d*k + 4/3*k**5 + 32/3 + 44/3*k**3 - 8/3*k**2 - 8*k**4.
4*(k - 2)**3*(k - 1)*(k + 1)/3
Factor -3/2*a**4 + 0 + 24*a + 24*a**2 - 3/2*a**3.
-3*a*(a - 4)*(a + 1)*(a + 4)/2
Suppose -x - x = -2. Let m be -3*x*(-2 - -1). Factor 4*k**4 - m - 4*k**3 - 12*k**5 - 4*k**2 + 16*k**5 + 3.
4*k**2*(k - 1)*(k + 1)**2
Let o be 19 + -25 + 8 + 1. Let j(p) be the first derivative of -4 + 0*p - 1/4*p**o + 0*p**2. Suppose j(d) = 0. Calculate d.
0
Solve 0 + 0*d - 2/13*d**3 - 12/13*d**4 + 12/13*d**2 + 2/13*d**5 = 0.
-1, 0, 1, 6
Let j(f) be the third derivative of -f**6/840 - f**5/70 - f**4/21 + 284*f**2. Solve j(m) = 0.
-4, -2, 0
Let d be (-144)/108*42/(-91). Factor d + 18/13*n + 12/13*n**2 + 2/13*n**3.
2*(n + 1)**2*(n + 4)/13
Let v(d) be the first derivative of -39*d**5/10 - 21*d**4/2 - 2*d**3 + 75. What is m in v(m) = 0?
-2, -2/13, 0
Let v = -87939/7 + 12563. Determine q so that 24/7*q**2 + 0 + 26/7*q**3 + 8/7*q + 12/7*q**4 + v*q**5 = 0.
-2, -1, 0
Let j(d) = 14*d**2 + 84*d. Let m be j(-6). Let -1/2*y**5 + 3/2*y**4 + 0 + 0*y - 2*y**2 + m*y**3 = 0. What is y?
-1, 0, 2
Let l(k) be the third derivative of -k**6/600 - 3*k**5/25 - 18*k**4/5 - 288*k**3/5 - k**2 + 17. Determine d, given that l(d) = 0.
-12
Let i(o) = o**2 - 2. Let w(c) = -30*c**2 + 5*c + 50. Let r(n) = 25*i(n) + w(n). Factor r(y).
-5*y*(y - 1)
Let f(n) = -n**4 - n**3 - 2*n**2 + 2*n + 1. Let h(w) = 4*w**4 + 57*w**2 - 49*w - 95. Let p(k) = 5*f(k) + h(k). Factor p(c).
-(c - 3)**2*(c + 1)*(c + 10)
Let g(l) be the third derivative of 0*l**3 - 8*l**2 - 1/735*l**7 - 1/70*l**5 + 1/84*l**4 + 0*l + 0 + 1/140*l**6. Determine r, given that g(r) = 0.
0, 1
Factor -30*w - 63*w**4 + 22*w**4 + 27*w**4 + 19*w**4 + 55*w**2 - 13*w**3 - 17*w**3.
5*w*(w - 3)*(w - 2)*(w - 1)
Let y(q) = 0*q + 2*q - q**2 + 6*q - 7*q + 1. Let b(m) = -2*m**3 - m**2 + 2*m**3 + 12*m - 3*m**3 - 2*m**2 + 9. Let a(v) = b(v) - 3*y(v). Factor a(z).
-3*(z - 2)*(z + 1)**2
Suppose 4*w + 4*q = 8, -3*w = -q - 7 + 1. Suppose u + 2 = w*u. Find f such that -2/5*f + 4/15 + 2/15*f**u = 0.
1, 2
Let z(d) = 3*d**2 - 2*d - 1. Suppose -3 = -2*w - 3*p + 1, 0 = 3*w + 3*p - 3. Let f(s) = -s**2. Let m(o) = w*z(o) - 4*f(o). Let m(l) = 0. Calculate l.
-1
Let d(g) = -g**2 - 7*g + 10. Let t be d(-6). Let a be t/8 + (0 - -2). Determine c, given that 22*c**3 + 9*c + 10*c**2 - 13*c - c**a + 9*c**4 = 0.
-2, -1, 0, 1/4
Let t(a) be the second derivative of a**7/105 - 41*a**6/75 + 273*a**5/25 - 1078*a**4/15 - 2744*a**3/15 - 126*a. Factor t(v).
2*v*(v - 14)**3*(v + 1)/5
Let u(d) be the first derivative of -d**4/20 + d**3/5 - 3*d**2/10 + 10*d - 5. Let x(c) be the first derivative of u(c). Suppose x(a) = 0. What is a?
1
Let y = 33 + -28. Let -5*g**y + 5*g**5 - 8*g**2 + 8*g**3 - 4*g**5 - 4*g + 4*g**4 + 4 = 0. Calculate g.
-1, 1
Let k = 1 + 1. Determine w, given that -k*w**2 - 7*w**2 + 3*w**3 + 1 - 4 + 9*w = 0.
1
Suppose -876*f**2 + 7*f**4 + 1356*f**2 + 35*f**3 + 229*f - 49*f - 25*f**5 - 87*f**4 - 30*f**4 = 0. Calculate f.
-3, -2/5, 0, 2
Let p(b) be the third derivative of b**7/70 - b**6/20 - b**5/20 + b**4/4 + 27*b**2. What is f in p(f) = 0?
-1, 0, 1, 2
Let r(y) = 4*y + 26. Let f be r(-5). Suppose -4*n = -2*n - 4. Factor f + i**2 - 15*i + 8*i**2 + 0*i**n.
3*(i - 1)*(3*i - 2)
Let z(b) = b - 4. Let t(g) = g - 3. Let u(r) = 3*t(r) - 2*z(r). Let a be u(4). Factor x**3 - 7*x**2 + 3*x**2 + a*x**2 - 2*x**2 - 1 + 3*x.
(x - 1)**3
Let y be (1 - -242 - -2)/1. Factor y*t + 2*t**2 + 3 - 253*t + 3.
2*(t - 3)*(t - 1)
Factor 32 + 120/7*d + 4/7*d**2.
4*(d + 2)*(d + 28)/7
Let o(q) be the third derivative of q**7/105 + 31*q**6/180 - 259*q**5/135 - 67*q**4/9 - 280*q**3/27 - q**2 + 355. Find i, given that o(i) = 0.
-14, -2/3, 5
Let k(n) = 44*n**2 - 177*n + 6. Let p be k(4). Suppose -3/8*y - 3/8*y**p + 0 = 0. Calculate y.
-1, 0
Let i(w) = -1 + 4 - w - 4 - w**2. Let u(a) be the second derivative of a**4/4 + a**3/6 + a**2 - 68*a. Let j(r) = 4*i(r) + u(r). Factor j(n).
-(n + 1)*(n + 2)
Let q(f) = 15*f**3 + 0 - 3*f**2 - 3 - 5*f**2 - 1. Let s(z) = 15*z**3 - 9*z**2 + z - 5. Let p(v) = 5*q(v) - 4*s(v). Factor p(y).
y*(3*y - 2)*(5*y + 2)
Let b be 0 + (-2 - -3) - 3/(-1). Factor -2*d**b + 0*d**5 - d**4 + d**3 + 5*d**4 + d**5.
d**3*(d + 1)**2
Let v(r) = r**2 - r - 1. Let i(s) = 2*s. Suppose 2*t = 2*m, -2*m + 1 = -3*t - 0. Let l(j) = m*i(j) - 2*v(j). Factor l(z).
-2*(z - 1)*(z + 1)
Suppose -4*d + 12 = 0, 20*d - 21*d + 9 = 2*r. Factor 1/4*k**5 + 5/4*k + 1/4*k**4 - 3/4 - 3/2*k**r + 1/2*k**2.
(k - 1)**3*(k + 1)*(k + 3)/4
Suppose -12*x = -13*x. Let v(j) be the second deri