 0.
0, 14
Let m = 2/201 - -595/804. Let h(l) be the second derivative of 0*l**2 + 0 - m*l**5 + 2*l**4 + 3*l + 2*l**3. Solve h(f) = 0 for f.
-2/5, 0, 2
Let p = -7298/5 - -1460. Let 2/5*x**5 - 6/5*x - p - 4/5*x**2 + 4/5*x**3 + 6/5*x**4 = 0. Calculate x.
-1, 1
Let l(c) be the third derivative of c**5/60 + 37*c**4/24 + 6*c**3 + 120*c**2 - 1. Suppose l(x) = 0. What is x?
-36, -1
Let g(k) be the third derivative of -k**6/96 - 41*k**5/80 + 15*k**4/8 - 13*k**3/6 - 434*k**2. What is t in g(t) = 0?
-26, 2/5, 1
Let c(q) be the second derivative of -q**5/30 - q**4/3 + 32*q**2/3 + 2*q - 60. Factor c(w).
-2*(w - 2)*(w + 4)**2/3
Let i be (-2)/(-8) + (235/20 - 10). Let 3/5*o + 7/5*o**3 - 12/5*o**i + 2/5 = 0. Calculate o.
-2/7, 1
Let a(p) be the third derivative of -p**6/120 + 69*p**5/20 - 4761*p**4/8 + 109503*p**3/2 - 318*p**2. Solve a(s) = 0 for s.
69
Suppose 10*x - 4*x - 240 = 0. Let j be 14/48 + 2 + (-65)/x. Factor 1/3*y**5 - j*y**4 + 0*y**2 + 0 + 0*y + 1/3*y**3.
y**3*(y - 1)**2/3
Let u(t) = -t**5 + 3*t**4 - t**3 - 3*t**2 + 2*t - 7. Suppose 39 = 2*j - 31. Let z(b) = -1. Let s(o) = j*z(o) - 5*u(o). Factor s(g).
5*g*(g - 2)*(g - 1)**2*(g + 1)
Solve -3*h**5 + 29*h**3 - 9*h**4 - 3 + 21*h**2 - 26*h**3 - 9 = 0.
-2, -1, 1
Let k(s) be the second derivative of -s**8/112 + s**7/30 - s**6/40 - s**5/20 + s**4/12 - 7*s**2 - 27*s. Let u(t) be the first derivative of k(t). Factor u(y).
-y*(y - 1)**3*(3*y + 2)
Let j(g) be the third derivative of 3*g**5/10 + g**4/4 - 3*g**3/2 - 13*g**2. Let d(a) = a**2 + a - 1. Let w(z) = -15*d(z) + j(z). Factor w(c).
3*(c - 2)*(c - 1)
Suppose 0 - 120 = 5*j. Let x = j - -31. Factor x*m + 2*m**3 + m + 6*m**2 - 4*m.
2*m*(m + 1)*(m + 2)
Let v(n) = n**2. Let r(p) = -15*p**3 - p + p**2 + 4*p + p**4 + 8*p**4. Let l(b) = r(b) + 2*v(b). Suppose l(t) = 0. Calculate t.
-1/3, 0, 1
Let n be 10/6 - 132/(-99). Let c(h) be the first derivative of -4 - h**2 + 0*h - 1/4*h**4 - h**n. Factor c(a).
-a*(a + 1)*(a + 2)
Let d(o) be the third derivative of o**5/12 + 215*o**4/12 + 9245*o**3/6 - 128*o**2. Factor d(s).
5*(s + 43)**2
Let w be 8/(-6)*(-417 - -12). Let l be -2 + 20*9/(w/8). Factor -l*h**2 + 4/3*h - 2/3.
-2*(h - 1)**2/3
Solve -32*c**2 - 2*c - 24*c + 11*c**3 - 2*c - 15*c**3 = 0 for c.
-7, -1, 0
Let z = -2399/21 + 802/7. Let y(j) be the third derivative of -8/3*j**3 + z*j**4 + 0 - 4*j**2 - 1/60*j**6 + 1/15*j**5 + 0*j. What is v in y(v) = 0?
-2, 2
Suppose -4 = 4*v - 68. Suppose v*s + 13 = 93. Let 2/3*r**2 - 5/3*r - 4/3*r**4 + 4/3*r**3 + 2/3 + 1/3*r**s = 0. Calculate r.
-1, 1, 2
Let h(q) be the third derivative of -1/3*q**4 - 1/60*q**5 - 8/3*q**3 - 4*q**2 + 0*q + 0. Factor h(u).
-(u + 4)**2
Let z(f) = -f**2 + 10*f + 2. Let m be (-69)/(-6) - 3/2. Let r be z(m). Suppose -4 - 7*d**2 + 7*d**r + 8*d**2 - 4*d**4 = 0. Calculate d.
-1, 1
Let m(l) be the third derivative of -3*l**6/40 - 31*l**5/10 - 97*l**4/8 - 19*l**3 + 2*l**2 - 38*l. Let m(i) = 0. Calculate i.
-19, -1, -2/3
Let y = -1426 + 1426. Let x(n) be the third derivative of y + 1/2*n**3 - 1/20*n**5 - 1/40*n**6 + 9*n**2 + 1/8*n**4 + 0*n. Factor x(v).
-3*(v - 1)*(v + 1)**2
Let z(w) be the second derivative of -1/4*w**4 + 9/2*w**2 - w**3 + w + 3. Factor z(x).
-3*(x - 1)*(x + 3)
Let v(z) = -3*z**4 - 3*z**3 - z + 1. Let n(k) = -28*k**4 - 260*k**3 + 6722*k**2 - 6052*k - 12986. Let q(o) = -2*n(o) + 20*v(o). Determine b so that q(b) = 0.
-1, 2, 57
Let h(u) be the third derivative of -u**5/75 + 8*u**4/15 + 34*u**3/15 - 101*u**2 - 1. Determine a, given that h(a) = 0.
-1, 17
Let v(p) = p + 27. Let f be v(-16). Factor 10*j + j**2 - 17*j + f*j.
j*(j + 4)
Let a(j) be the third derivative of 17/20*j**5 + 0 + 3/8*j**4 + 0*j**3 + 0*j + 7/30*j**7 + 15*j**2 + 91/120*j**6. Determine r so that a(r) = 0.
-1, -3/7, 0
Find b such that -62*b**3 + 21*b**4 - 112 - 5*b**2 + 112 + 6*b = 0.
-1/3, 0, 2/7, 3
Let s(j) be the second derivative of -9/20*j**5 - 1/6*j**6 - 1/3*j**3 - 1/42*j**7 - 7/12*j**4 + 0*j**2 + 0 - 6*j. Factor s(v).
-v*(v + 1)**3*(v + 2)
Let n be 2158/11 - (-2 + 1 + -2). Let j = n - 199. Solve -2/11*w**5 + 0 + j*w**3 + 0*w + 0*w**4 + 0*w**2 = 0.
-1, 0, 1
Let l = -6890 + 6893. Suppose 4/5*k**2 + 0 + 2/5*k + 2/5*k**l = 0. What is k?
-1, 0
Let m(i) be the third derivative of -i**5/12 + 5*i**4/4 - 2*i**2 - 22. Determine h so that m(h) = 0.
0, 6
Let r(n) be the second derivative of n**5/35 + 10*n**4/21 - 26*n**3/21 - 44*n**2/7 - 266*n. Factor r(p).
4*(p - 2)*(p + 1)*(p + 11)/7
Suppose 8*r - 3*r - 15 = 0. Factor 65*g**3 - 3*g**4 + 4*g**4 - 61*g**r + 5*g**2 + 2*g.
g*(g + 1)**2*(g + 2)
Suppose -51*a = -36*a - 34*a + 38. Factor 3*g**a + 3/4*g**4 + 0 + 3*g**3 + 0*g.
3*g**2*(g + 2)**2/4
Determine x so that -2/3*x**4 + 4/3*x**2 - 4/9*x**3 + 2/9*x + 2/9*x**5 - 2/3 = 0.
-1, 1, 3
Let d(b) be the first derivative of -3/4*b + 17 + 1/4*b**2 + 1/12*b**3. Find u, given that d(u) = 0.
-3, 1
Suppose -3*p - p = -16*p. Let n(k) be the second derivative of -2*k**2 - k + p - 1/3*k**4 - 4/3*k**3. Factor n(z).
-4*(z + 1)**2
Let w be (5202/(-21))/((-115)/322). Factor -408/5*g - 9826/5*g**3 + w*g**2 + 16/5.
-2*(17*g - 2)**3/5
Let x(s) be the first derivative of -s**6/2 + 3*s**5/5 + 3*s**4/4 - s**3 + 91. What is u in x(u) = 0?
-1, 0, 1
Let h(r) be the second derivative of r**4/4 - r**3/2 - 9*r**2 + 2*r + 28. Factor h(t).
3*(t - 3)*(t + 2)
Factor 22*x + x**2 - 48*x - 2*x**2 + 18*x.
-x*(x + 8)
Suppose -8 = -j + 19. Let w be 16/(-6)*j/(-12). Factor w - 2 + 6*n + n**2 + 2*n**2 - 1.
3*(n + 1)**2
Let y be 0/((-5)/((-25)/4)*(-100)/40). Factor -2/5*v**3 + 0 + 0*v**2 + y*v - 1/5*v**4.
-v**3*(v + 2)/5
Let m(w) be the third derivative of -1/20*w**7 + 5 + 4*w**2 + 0*w + 0*w**3 - 3/20*w**6 - 3/8*w**4 + 5/8*w**5. Find b such that m(b) = 0.
-3, 0, 2/7, 1
Let -18*d**2 + 0 + 0*d - 1/2*d**4 + 6*d**3 = 0. What is d?
0, 6
Let d(o) be the third derivative of -119*o**5/60 + 39*o**4/8 + o**3/3 - 93*o**2. Factor d(k).
-(k - 1)*(119*k + 2)
Let j(k) be the second derivative of k**5/80 + k**4/48 - k**3/24 - k**2/8 - 11*k - 21. Find s such that j(s) = 0.
-1, 1
Factor -10/7*q - 12/7 + 2/7*q**2.
2*(q - 6)*(q + 1)/7
Let k be (1 + 0)*(-26)/11*1. Let w = k - -137/44. Factor 3/4*j + w*j**2 - 3/2.
3*(j - 1)*(j + 2)/4
Let n(g) = -3*g. Let j be n(-1). Suppose 5 = -3*z + 3*l + 2*l, -j*z - 1 = -l. Factor 57*u**4 + z - 4*u**3 - 55*u**4 + 0 + 2*u**2.
2*u**2*(u - 1)**2
Suppose 4*h + 180 = 7*h. Let i be 9/4 + h/80. Solve -9/2*a**i - 3/4*a - 3/4*a**5 + 3*a**2 + 0 + 3*a**4 = 0 for a.
0, 1
Let p(w) be the first derivative of w**6/2 + 27*w**5/5 + 15*w**4 + 12*w**3 - 550. Find n such that p(n) = 0.
-6, -2, -1, 0
Let c(f) = -3*f**2 + 3*f. Let x(z) = 3*z + 2. Let n(y) = y + 1. Let d(g) = 2*n(g) - x(g). Let w(l) = c(l) - 6*d(l). Suppose w(m) = 0. Calculate m.
0, 3
Let l(r) be the second derivative of 3*r**5/140 - 3*r**4/2 + 198*r**3/7 + 1452*r**2/7 - 97*r. Let l(g) = 0. Calculate g.
-2, 22
Let l(f) = -f**3 + 414*f**2 - 6920*f - 7360. Let s(y) = -2*y**3 + 621*y**2 - 10381*y - 11039. Let z(g) = -7*l(g) + 5*s(g). Factor z(o).
-3*(o - 35)**2*(o + 1)
Let v(l) = l**3 - l**2 - 1. Let b(m) = -5*m**3 - 7*m**2 + 64*m - 69. Let z(j) = -2*b(j) - 6*v(j). Find o such that z(o) = 0.
-9, 2
Determine w so that 36 - 33*w - 12*w**3 - 4*w**4 + 3*w**2 - 32*w + w**4 + 113*w = 0.
-3, -2, -1, 2
Let b(d) be the second derivative of -d**6/120 - 3*d**5/80 + d**4/24 + d**3/2 + d**2 - 509*d. Factor b(w).
-(w - 2)*(w + 1)*(w + 2)**2/4
Let j(g) = -g**2 - 7*g + 14. Let s be j(7). Let y be 3/(-18) - 38/s. Factor -24/7*l - 16/7 - y*l**3 - 12/7*l**2.
-2*(l + 2)**3/7
Let r(l) be the second derivative of -54/5*l**2 - 6/5*l**3 + 0 - 8*l - 1/20*l**4. Factor r(m).
-3*(m + 6)**2/5
Let v(p) be the first derivative of 3*p**4/28 + 3*p**3/7 - 12*p/7 - 201. Factor v(q).
3*(q - 1)*(q + 2)**2/7
Suppose 2*m = -9*a + 4*a - 8, 0 = -m - 4. Let z be 69/60 + (2 - (-77)/(-28)). Factor -z*t**2 - 4/5*t + 4/5*t**3 + a + 2/5*t**4.
2*t*(t - 1)*(t + 1)*(t + 2)/5
Let i(k) be the first derivative of 3*k**5/25 - 9*k**4/20 - k**3 + 9*k**2/10 + 12*k/5 - 521. Determine o, given that i(o) = 0.
-1, 1, 4
Let p = -1308 + 1320. Let b(t) be the first derivative of 1/18*t**3 - 1/3*t**2 + 1/2*t + p. Determine a so that b(a) = 0.
1, 3
Let a(l) be the second derivative of -l**5/5 + 5*l**4/12 + 16*l**3/3 - 33*l**2/2 - 2*l - 145. Let a(q) = 0. Calculate q.
-11/4, 1, 3
Find v