t d = -120/7 + 499/14. Let c = -18 + d. Find z such that 0 + 0*z**2 + 0*z + c*z**3 = 0.
0
Let n(j) = j**2 + 33*j - 1060. Let w be n(20). Solve w*s + 2/13*s**3 + 0*s**2 + 0 = 0.
0
Let g = 1545 - 27809/18. Let p(b) be the first derivative of 0*b**2 + 8/9*b + g*b**4 + 10 - 2/9*b**3. Factor p(f).
2*(f - 2)**2*(f + 1)/9
Let k(y) be the second derivative of y**4/12 - 17*y**3/6 - 8*y + 6. Determine p, given that k(p) = 0.
0, 17
Let g(s) = 2*s**2 + 2*s + 3. Let a(w) = 10*w**2 + 18*w + 14. Let d(o) = 2*a(o) - 4*g(o). Factor d(p).
4*(p + 1)*(3*p + 4)
Let u(i) = i**3 + 23*i**2 - 74*i - 596. Let m be u(-25). Factor 0*s + 0*s**2 + 0 + 8/7*s**3 - 2/7*s**m.
-2*s**3*(s - 4)/7
Suppose 24 = -10*a + 6*a. Let j be (-3)/((-36)/8 + a). Factor j*g + 2/7*g**2 + 0.
2*g*(g + 1)/7
Suppose -21*f + 60 - 18 = 0. Let l(s) be the third derivative of 0 - 1/8*s**4 + 1/4*s**3 + 0*s - 3*s**f + 1/40*s**5. Factor l(j).
3*(j - 1)**2/2
Let -20 + 5*n**2 + 86*n + 13 + 54 - 11*n + 23 = 0. What is n?
-14, -1
Let k(i) be the third derivative of 0*i**3 + 1/30*i**5 + 4*i**2 + 0*i - 1/6*i**4 + 0. Solve k(j) = 0 for j.
0, 2
Let i(c) be the first derivative of c**5/35 + c**4/28 - c**3/21 - c**2/14 - 17. Factor i(p).
p*(p - 1)*(p + 1)**2/7
Let w = -3/49 + 325/4508. Let y = 187/276 - w. Factor -2/3*d + 2/3*d**4 + 4/3*d**3 - 4/3*d**2 + y - 2/3*d**5.
-2*(d - 1)**3*(d + 1)**2/3
Let c be (-2)/5 + (-240)/(-100). Suppose -7*u**2 + 4*u - 5*u**4 + 9*u**c + 6*u**2 - 7*u**3 = 0. Calculate u.
-2, -2/5, 0, 1
Let f(c) be the first derivative of 5*c**3/3 + 125*c**2/2 - 130*c - 49. Solve f(b) = 0.
-26, 1
Let d(l) be the third derivative of 0 + 1/60*l**6 - 1/12*l**4 - 1/30*l**5 + 0*l - 3*l**2 + 1/105*l**7 + 0*l**3. Factor d(g).
2*g*(g - 1)*(g + 1)**2
Let l(y) = -3*y**3 + 4*y**2 - 2*y - 4. Let v be l(-2). Find b, given that 15*b**4 - 4*b**2 + 38*b + 106*b**2 - v + 10*b + 36*b - 161*b**3 = 0.
-2/3, 2/5, 1, 10
Let v(f) = 3*f**2 + 9*f - 7. Let o(h) = -h**2 - h + 1. Let n be (-2)/(-8) - (-36)/48. Let l = -6 + n. Let p(k) = l*o(k) - v(k). Factor p(j).
2*(j - 1)**2
Let o be (-1296)/(-486)*(-2 - (-14)/4). Factor 0 + 0*h**3 - 2/5*h - 3/5*h**2 + 1/5*h**o.
h*(h - 2)*(h + 1)**2/5
Let y be 18 - 6*(-5)/(-15). Solve -5*a - a**2 - y - 3*a + 0*a = 0 for a.
-4
Determine u, given that 6/5*u + 2/5*u**2 + 0 = 0.
-3, 0
What is b in -8*b + 0 + 28/3*b**2 - 4/3*b**3 = 0?
0, 1, 6
Let i(q) be the third derivative of -q**8/10080 + q**7/1260 + q**5/30 - 12*q**2. Let w(c) be the third derivative of i(c). Let w(u) = 0. Calculate u.
0, 2
Let n = -225 + 240. Suppose -16*f = -n*f - 2. Factor -1/5 + 48/5*l**3 + 8/5*l**f - l.
(3*l - 1)*(4*l + 1)**2/5
Let v(h) be the third derivative of h**7/280 - 13*h**5/80 + 3*h**4/8 - 2*h**2 - 3*h. Factor v(r).
3*r*(r - 3)*(r - 1)*(r + 4)/4
Let c(j) be the second derivative of -j**4/12 - 3*j**3/2 - 15*j**2/2 - 8*j. Let x be c(-6). Factor 0 - 6/5*i**x + 8/5*i**2 - 2/5*i.
-2*i*(i - 1)*(3*i - 1)/5
Let x be 222/185*(-15)/(-9). Find k such that 2/7*k**x + 2*k + 12/7 = 0.
-6, -1
Let x(j) be the second derivative of -j**6/240 + 3*j**5/40 - 9*j**4/16 + 2*j**3/3 - 7*j. Let k(m) be the second derivative of x(m). Factor k(t).
-3*(t - 3)**2/2
Let i(u) = 8*u**2 - 652*u + 28228. Let s(q) = -15*q**2 + 1309*q - 56455. Let w(a) = 7*i(a) + 4*s(a). Factor w(g).
-4*(g - 84)**2
Let k = -857/30 + -31/30. Let f = 30 + k. Factor -2/5*r + 2/5*r**4 + 4/5 - 6/5*r**2 + f*r**3.
2*(r - 1)**2*(r + 1)*(r + 2)/5
Let p(u) be the second derivative of u**6/20 + 47*u**5/20 + 199*u**4/6 + 155*u**3/2 + 225*u**2/4 + 18*u + 2. Let p(a) = 0. What is a?
-15, -1, -1/3
Find q such that 12/5*q**2 + 0 - 3/5*q - 3*q**3 + 6/5*q**4 = 0.
0, 1/2, 1
Let o(k) be the second derivative of 0*k**2 + 1/20*k**5 - 2/9*k**3 + 6*k + 0*k**4 + 0 - 1/90*k**6. Factor o(f).
-f*(f - 2)**2*(f + 1)/3
Suppose 0 = -0*q + 5*q - 0*q. Suppose q*z + 2 = z. Find o such that -z*o + 0*o**2 + 2/3*o**3 + 4/3 = 0.
-2, 1
Let j(w) be the first derivative of w**5/40 + 7*w**4/32 + 5*w**3/24 - 7*w**2/16 - 3*w/4 - 484. Find o, given that j(o) = 0.
-6, -1, 1
Let m(w) be the second derivative of -w**4/3 + 2*w**2 - 3*w - 8. Find c, given that m(c) = 0.
-1, 1
Let z(m) be the second derivative of 0*m**4 + 0 - 1/10*m**6 + 3/10*m**5 - m**3 - 3*m + 3/2*m**2. What is v in z(v) = 0?
-1, 1
Let n be 2/(6 + -5) + 330/(-4). Let h = n - -82. Factor -h*b**2 + 0*b**3 + 0*b + 3/4 + 3/4*b**4.
3*(b - 1)**2*(b + 1)**2/4
Suppose 2*d - 4 = -0*d, 5*b - 59 = -2*d. Let r be b*1 - (14 - 14). Factor -r + 4*h**4 + 8*h**2 - 11 + 22 + 12*h**3.
4*h**2*(h + 1)*(h + 2)
Let q be 3/4 + 10/(-24). Let l(f) be the first derivative of 0*f + 0*f**2 - 1/2*f**4 + q*f**6 + 2/5*f**5 - 2/3*f**3 + 4. Factor l(o).
2*o**2*(o - 1)*(o + 1)**2
Let z be 33/(-22)*(-64)/12. Let n = z - 4. Factor 0 + w**n + w + 7/2*w**2 + 7/2*w**3.
w*(w + 1)*(w + 2)*(2*w + 1)/2
Solve -2*u**2 + 401 - 104*u - 295 + 0*u**2 = 0 for u.
-53, 1
Let x(b) = b**2 + 69*b + 850. Let l be x(-16). Let 0 - 6*n**3 - 3*n + 3/2*n**4 + 15/2*n**l = 0. Calculate n.
0, 1, 2
Let j(w) be the second derivative of -w**4/8 + 81*w**3/4 + 123*w**2/2 - 251*w. Let j(q) = 0. What is q?
-1, 82
Let i(y) be the third derivative of 0*y**4 + 0*y**5 + 1/24*y**6 + 0*y - 1/14*y**7 + 0 + 5/168*y**8 - 15*y**2 + 0*y**3. Factor i(c).
5*c**3*(c - 1)*(2*c - 1)
Let c(k) = -k**2 + 5*k + 14. Let g = 40 + -33. Let s be c(g). What is a in s*a - 2/13*a**2 + 2/13 = 0?
-1, 1
Let w(h) be the second derivative of -2*h**7/147 - h**6/15 - h**5/70 + h**4/6 + h**3/7 - 10*h - 7. Solve w(i) = 0 for i.
-3, -1, -1/2, 0, 1
Let m be 104/(-20) - 8/10. Let r be m*((-7)/2 - -3). Factor 2*d**2 - d**r + 25 - 25 - d**4.
-d**2*(d - 1)*(d + 2)
Let c(k) = k**3 + 6*k - 108. Let s be c(0). Let g be (-4)/(-45)*s/(-72). Factor 0 + 2/15*u**2 - g*u.
2*u*(u - 1)/15
Let 1/6*i**2 + 2 - 4/3*i = 0. Calculate i.
2, 6
Let v(w) be the first derivative of 1/10*w**4 - 1/5*w**2 - 9 + 0*w + 0*w**3. Factor v(q).
2*q*(q - 1)*(q + 1)/5
Let j = 61407/12790 + -3/2558. Let -j*q + 22/5*q**3 + 12/5*q**4 - 16/5 + 2/5*q**5 + 4/5*q**2 = 0. What is q?
-2, -1, 1
Let u be ((18/(-2))/1)/((-285)/323). Factor -9/5*l**2 - 6 - u*l.
-3*(l + 5)*(3*l + 2)/5
Solve -4/5*i**2 + 336/5 + 32/5*i = 0.
-6, 14
Let x(b) = -6*b**2 - 69*b - 216. Let p(y) = -3*y**2 - 35*y - 108. Let o(c) = 9*p(c) - 4*x(c). Find h, given that o(h) = 0.
-9, -4
Let x = 4345 - 4330. Suppose -5/2*j**2 + 25/2*j - x = 0. Calculate j.
2, 3
Let t(u) = -u**3 - 4*u**2 + 12*u + 2. Let c = -14 + 8. Let n be t(c). Suppose -1 + n*i**2 + 28 + 2*i**2 - i**2 + 18*i = 0. What is i?
-3
Let y(f) be the third derivative of f**6/40 - f**5/20 - 5*f**4/8 - 3*f**3/2 + 132*f**2. Factor y(s).
3*(s - 3)*(s + 1)**2
What is t in -2/11*t**2 - 2/11*t + 12/11 = 0?
-3, 2
Let b = 2 + -6. Let z(a) = a**3 + 6*a**2 - 5. Let u be z(b). Factor -3*j**5 - j**5 + u*j**4 + 0*j**2 - 15*j**4 + 4*j**2 - 12*j**3.
-4*j**2*(j - 1)**3
Let p(m) be the third derivative of m**6/180 - 2*m**5/45 - 5*m**4/36 + 89*m**2 - 1. Find k such that p(k) = 0.
-1, 0, 5
Let f(r) be the third derivative of 0*r - 10*r**2 + 1/180*r**6 + 0 - 1/18*r**4 - 1/90*r**5 + 0*r**3. Factor f(h).
2*h*(h - 2)*(h + 1)/3
Let z(d) be the second derivative of -d**4/48 + 5*d**3/12 + 3*d**2 + 74*d. Factor z(h).
-(h - 12)*(h + 2)/4
Let v(m) be the second derivative of -7*m**5/5 + 53*m**4 + 92*m**3/3 - 4*m - 2. Factor v(s).
-4*s*(s - 23)*(7*s + 2)
Factor 2840*t**3 - 28*t**2 - 2832*t**3 + 4*t**4 + 12*t + 11*t - 7*t.
4*t*(t - 1)**2*(t + 4)
Let b(i) be the first derivative of -7/20*i**5 + 2 + 3/4*i**4 - 1/3*i**3 - 5*i + 0*i**2. Let a(k) be the first derivative of b(k). Let a(d) = 0. Calculate d.
0, 2/7, 1
Let -66/5*g**2 + 2/5*g**4 + 28/5*g + 64/5 - 28/5*g**3 = 0. Calculate g.
-2, -1, 1, 16
Suppose -3*y + 16 - 4 = 0. Suppose y*s + 8 = 6*s. Factor 4*w**5 + 3*w**2 + w**2 + 15*w**4 - 4*w**3 - 19*w**s.
4*w**2*(w - 1)**2*(w + 1)
Let g(l) = 6*l**3 - 18*l**2 + 21*l - 9. Let y(s) = -11*s**3 + 36*s**2 - 44*s + 19. Let c(t) = 5*g(t) + 3*y(t). Factor c(n).
-3*(n - 4)*(n - 1)**2
Let w(k) = -91*k - 544. Let z be w(-6). Let r(x) be the second derivative of 16/15*x**z + 10*x + 1/90*x**4 - 8/45*x**3 + 0. Suppose r(j) = 0. Calculate j.
4
Let m = 4/9045 + 388927/18090. Factor m*o**2 - 13*o - 9/2*o**3 - 4.
-(o - 4)*(o - 1)*(9*o + 2)/2
Suppose 0 = 2*i + 3*u - 43, -2*i - 2*u + 0*u = -40. Suppose 9 = -2*g + i. Factor 6/7*l*