Solve -j**3 + j + 5 - 225*j**4 - 7*j**2 + 226*j**4 + q = 0.
-2, -1, 1, 3
Let d(b) = 23*b**2 + 4*b + 4. Let p(n) = 68*n**2 + 11*n + 13. Let u(c) = -8*d(c) + 3*p(c). Let l(z) = 10*z**2 + z + 3. Let r(j) = 7*l(j) - 3*u(j). Factor r(t).
2*t*(5*t + 2)
Let i be (-1)/6 - (-2)/6. Let w(l) = l**3 - 4*l + 4. Let h be w(2). Let i*m**h - 1/6*m**3 + 0 + 0*m - 1/3*m**2 = 0. What is m?
-1, 0, 2
Let o(k) be the second derivative of -k**4/96 - 35*k**3/16 + 53*k**2/8 - 50*k - 2. Factor o(v).
-(v - 1)*(v + 106)/8
Suppose -5*r + 411 = -39. Suppose -65*j**4 + 35*j + 110*j**3 + 1 - r*j**2 - 6*j**5 - 4 + 21*j**5 - 2 = 0. Calculate j.
1/3, 1
Let m(r) be the second derivative of -23*r + 0*r**2 + 1/30*r**5 + 0*r**3 + 0 + 2/9*r**4. Let m(f) = 0. Calculate f.
-4, 0
Let t be -18*(7/105)/((-4)/10). Let g(u) be the second derivative of -3/20*u**5 + 0*u**t - 1/4*u**4 + 4*u + 0*u**2 + 0. Solve g(j) = 0 for j.
-1, 0
Let d = 13240/7 - 1888. Let t = 48/7 - 6. Let -d*c**2 + 6/7*c**3 + 0 + 16/7*c**4 - 8/7*c - t*c**5 = 0. What is c?
-1, -1/3, 0, 2
Let z(g) be the second derivative of 0*g**3 - 3*g + 0 - 2/3*g**2 + 1/12*g**4 + 1/60*g**5. Let z(r) = 0. Calculate r.
-2, 1
Let o(g) = -3*g**3 + g**2 + 7*g - 5. Let i(w) = -2*w**2 + w + 1. Let z(k) = 4*i(k) - o(k). Suppose z(f) = 0. Calculate f.
-1, 1, 3
Let h be -2 + ((-41)/(-18))/1. Let s(k) be the second derivative of -1/9*k**3 + 0 - h*k**4 + 1/15*k**6 + 2/3*k**2 - 4*k + 1/30*k**5. Let s(v) = 0. What is v?
-1, 2/3, 1
Let j be 4/6*(126/(-5201))/6. Let d = 2982/3715 + j. Solve -2/5 + d*c - 2/5*c**2 = 0 for c.
1
Factor -6*m**2 + 20*m**2 + m - 40 - 9*m**2 - 11*m.
5*(m - 4)*(m + 2)
Let z(j) be the first derivative of j**8/784 + j**7/245 + j**6/280 - 3*j**2/2 + 13. Let n(i) be the second derivative of z(i). Let n(w) = 0. What is w?
-1, 0
Factor -25 - 9*p**2 - 3*p**3 + 39 + 10 + 18*p.
-3*(p - 2)*(p + 1)*(p + 4)
Let i = -1579/10 + 157. Let a = i - -17/10. Solve -a*x**3 + 0*x**2 + 2/5*x**4 - 2/5 + 4/5*x = 0.
-1, 1
Let r(w) be the third derivative of -3/8*w**6 + 18*w**2 + 0*w**3 + 2/35*w**7 - 5/8*w**4 - 6/5*w**5 + 0*w + 0. Factor r(j).
3*j*(j - 5)*(j + 1)*(4*j + 1)
Let w(g) be the second derivative of -g + 0 + 1/420*g**6 + 0*g**5 + 0*g**3 - 1/84*g**4 + 1/2*g**2. Let n(k) be the first derivative of w(k). Factor n(u).
2*u*(u - 1)*(u + 1)/7
Let k(z) be the third derivative of 3*z**8/616 + z**7/35 + 23*z**6/330 + z**5/11 + 3*z**4/44 + z**3/33 + 29*z**2 + 2*z. Let k(u) = 0. Calculate u.
-1, -1/3
Factor r**2 + 13005 + 4*r**2 + 459*r - 34*r + 129*r - 44*r.
5*(r + 51)**2
Let -12*q + 1/8*q**4 + 8 - 3/2*q**3 + 13/2*q**2 = 0. Calculate q.
2, 4
Let -165*i**2 + i**4 + 5*i**4 + 60*i**2 + i**5 + 55*i**2 + 58*i**2 + 12*i**3 = 0. What is i?
-2, 0
Let t(i) be the third derivative of -98*i**5/15 - 7*i**4/3 - i**3/3 - 62*i**2 - 2*i. Factor t(w).
-2*(14*w + 1)**2
Let z(n) be the third derivative of n**8/8400 + n**7/4200 - n**3/3 + 16*n**2. Let v(c) be the first derivative of z(c). Factor v(r).
r**3*(r + 1)/5
Let c(d) = d**3 + 13*d**2 - 4*d + 5. Let s(r) = -6*r**2 + 2*r - 2. Suppose -2*z + 4*b = z - 6, -4*z + b = 5. Let k(a) = z*c(a) - 5*s(a). Solve k(g) = 0.
0, 1
Let a be 7 + 0*1/(-3). Let z be (1 + 0)*(a - -1). Determine o so that z*o**4 + 15*o**3 - 25*o**3 - 2*o**5 + 3*o**2 + o**2 = 0.
0, 1, 2
Let x be (12012/(-399) - (-2)/19)/(32/(-10)). Suppose -3/2 - 75/4*h**3 + x*h**4 + 3*h + 63/8*h**2 = 0. Calculate h.
-2/5, 2/5, 1
Let g(o) = o**3 + 25*o**2 + 25*o + 12. Let u be g(-24). Let h be (-34)/51 - 11/u. Factor -h*p**2 + 0*p + 1/4.
-(p - 1)*(p + 1)/4
Factor -766*o**5 + 0*o**4 - 2*o**4 - 2*o**3 + 765*o**5 - o**4.
-o**3*(o + 1)*(o + 2)
Let u(p) be the first derivative of -p**3 - 6*p**2 - 12*p - 110. Find i, given that u(i) = 0.
-2
Let i be 1 + 2 + 292/(-100). Let z(r) be the first derivative of 1/15*r**6 + 2/15*r**3 + 2 - 1/10*r**4 - i*r**5 + 0*r + 0*r**2. Factor z(j).
2*j**2*(j - 1)**2*(j + 1)/5
Let w be (-16)/(-120) + 8/90. Let v(n) be the second derivative of 0*n**2 + 0 - 1/18*n**4 - w*n**3 + 5*n. Solve v(m) = 0 for m.
-2, 0
Let v(o) = 2*o**2 - 7*o + 8. Let n be v(9). Suppose 8 + n*z**2 + 8*z + 106*z**2 - 211*z**2 = 0. What is z?
-2
Factor -17161 - 5*d**2 + 4*d**2 - 259*d - 3*d.
-(d + 131)**2
Let i(j) = j**2 - 13*j + 3. Let x be i(14). Let b be 2/x - 132/(-34). Factor 12*c**b + 15*c**3 + 2*c**5 + 9*c**2 - 3*c**2 + c**5.
3*c**2*(c + 1)**2*(c + 2)
Let d = 347 + -706. Let c = 3955/11 + d. Suppose 0*h - c*h**2 + 2/11*h**3 + 8/11 = 0. What is h?
-1, 2
Factor 38*f**5 - 36*f**5 + 6*f**3 - 8*f - 33*f**2 + 41*f**2 - 8*f**4.
2*f*(f - 2)**2*(f - 1)*(f + 1)
Suppose 0 = -0*l + 4*l - 12. Let j be (-2 + -2 + l)*(-27)/6. Find u such that 0*u + 3/4 - 21/4*u**2 - j*u**3 = 0.
-1, -1/2, 1/3
Suppose 735*a**3 - 240*a**4 + 25*a**5 + 237*a + 2 - 760*a**2 - 2 + 106*a - 103*a = 0. Calculate a.
0, 3/5, 1, 4
Let d(b) = -b**2 + 8*b + 2. Let w be d(10). Let g = w - -21. Let 1/5*a**g + 0*a + 0 - 1/5*a**2 = 0. What is a?
0, 1
Let i(a) be the third derivative of -2/25*a**5 + 0*a - 16/15*a**3 + 1/150*a**6 + 0 - 20*a**2 + 2/5*a**4. Factor i(q).
4*(q - 2)**3/5
Let k(m) be the second derivative of -m**4/4 - 31*m**3/2 + 228*m. Factor k(d).
-3*d*(d + 31)
Let x(b) = -b**4 + b**2 + 5 + 6 - 10. Let v(g) = -g**4 + 2*g**3 + 5*g**2 - 2*g - 5. Suppose -5*l + 4 = 9. Let k(z) = l*v(z) - x(z). Solve k(o) = 0 for o.
-1, 1, 2
Let j(p) be the first derivative of 8 - 1/2*p**6 - 5*p**3 + 3*p**2 + 9/4*p**4 + 3/5*p**5 + 0*p. Factor j(y).
-3*y*(y - 1)**3*(y + 2)
Suppose -i = -0 - 1, 11 = 4*o + 3*i. Let q(g) be the second derivative of -1/3*g**o - 1/18*g**3 + 0 + 1/36*g**4 - 4*g. Factor q(c).
(c - 2)*(c + 1)/3
Let p(w) be the third derivative of -w**8/3024 - w**7/945 + w**6/360 + w**5/135 - w**4/54 - 556*w**2. Suppose p(m) = 0. What is m?
-2, 0, 1
Solve 29*z**2 - 16*z + 107 - 59 - 33*z**2 = 0.
-6, 2
Find t such that -2/5*t + 1/5 + 1/5*t**2 = 0.
1
Suppose 2*l - 355 = 7*l. Let a = -18 - l. Factor -9*p**3 + 6*p**2 + 1 - a*p**4 + 56*p**4 - 1.
3*p**2*(p - 2)*(p - 1)
Factor -15*f**2 + 5/2*f**3 + 0 + 0*f.
5*f**2*(f - 6)/2
Let u be (-265)/40 - 245/(-35). Factor -u*y**2 + y + 3/8.
-(y - 3)*(3*y + 1)/8
Let i = 1822 + -990. Let b = i + -4112/5. Determine w so that 4*w**2 + b*w + 16/5 = 0.
-2, -2/5
Let s = 36376 + -254488/7. Factor s*j + 0 + 4/7*j**3 - 48/7*j**2.
4*j*(j - 6)**2/7
Let y(q) be the first derivative of -3/10*q**2 + 0*q + 15 - 2/5*q**3 - 3/20*q**4. Factor y(d).
-3*d*(d + 1)**2/5
Let u(i) = 4*i**3 + 5*i**2 - 5*i. Let n(o) = -o**3 - o**2 + o. Let w = 59 - 84. Let g = -15 - w. Let m(z) = g*n(z) + 2*u(z). Factor m(y).
-2*y**3
Factor 2*o**5 - 552*o + 536*o - 16*o**2 + 18*o**4 + 14*o**3 - 2*o**2.
2*o*(o - 1)*(o + 1)**2*(o + 8)
Suppose -2*c - 5 - 2 = l, 0 = -5*l + 2*c + 25. Suppose 2*q + 28 = 4*m - 2*q, l*m + 7 = -4*q. Factor 0 + 1/3*o**5 + 0*o**m - 2/3*o**2 + 2/3*o**4 - 1/3*o.
o*(o - 1)*(o + 1)**3/3
Factor 0*a**4 + 0*a - 1/3*a**3 + 0 + 0*a**2 + 1/3*a**5.
a**3*(a - 1)*(a + 1)/3
Let f(g) be the second derivative of g**5/10 - 41*g**4/6 - 130*g**3/3 - 88*g**2 + 88*g - 1. Factor f(h).
2*(h - 44)*(h + 1)*(h + 2)
Let c(r) be the second derivative of -5*r**4/12 - 575*r**3/6 + r + 133. Suppose c(b) = 0. What is b?
-115, 0
Let f(g) = g**2 + 22*g + 74. Let a be f(-4). Solve -3/7*v**a + 0 + 3/7*v = 0.
0, 1
Let m = 1015 + -3037/3. Factor 2/3*s**2 - m*s + 8/3.
2*(s - 2)**2/3
Factor 6*h + h**2 + 3*h**2 - 2*h**2 + 7*h**2 + 3*h**3.
3*h*(h + 1)*(h + 2)
Suppose 37/2*c + 29*c**2 + 7/2*c**5 - 7 - 22*c**4 - 22*c**3 = 0. Calculate c.
-1, 2/7, 1, 7
Solve -22*x**3 + 16*x + 0*x + 0*x + 6*x**4 - 12*x**2 = 0.
-1, 0, 2/3, 4
Let r(v) be the third derivative of 3/8*v**4 + 2*v**3 + 37*v**2 - 1/20*v**5 + 0*v + 0. Factor r(y).
-3*(y - 4)*(y + 1)
Let m(f) be the first derivative of -f**5/390 - f**4/39 + 5*f**3/39 + f**2 - 6. Let u(o) be the second derivative of m(o). Determine v so that u(v) = 0.
-5, 1
Let w(d) = -d**4 - d**3 + 4*d - 2. Let p(r) = -12*r**3 + 2*r**2 + 6*r + 4. Let l(t) = -2*p(t) - 4*w(t). Factor l(h).
4*h*(h - 1)*(h + 1)*(h + 7)
Let v = -1402767/7348 + 2100/11. Let f = 32085/4676 - v. Factor -3/7*l**2 + 24/7*l - f.
-3*(l - 4)**2/7
Let t(p) = 18*p**5 - 57*p**4 + 189*p**3 - 30*p**2 - 825*p + 750. Let g(u) = u**5 - u**4 + u**3 + 2*u**2. Let v(k) = -15*g(k) + t(k). Factor v(i).
3*(i - 5)**3*(i - 1)*(i + 2)
Let s(k) be the second derivative of k**6/