t l(f) = -31*f + 6. Let i be l(-6). Let j be 4 + (-6 - 45/(-9)). Suppose 20*v**3 + 7*v**j - 6 + i*v + 6*v**2 - 219*v = 0. Calculate v.
-1, -2/9, 1
Let l(a) be the first derivative of -a**3/3 - 5*a**2 - 69. Factor l(q).
-q*(q + 10)
Let f(q) be the second derivative of 2*q**2 - 20*q + 1/10*q**5 + 1/45*q**6 - 7/9*q**3 + 0 - 1/6*q**4. Find j, given that f(j) = 0.
-3, -2, 1
Let t(h) be the third derivative of h**8/336 - h**7/210 - h**6/120 + h**5/60 - 12*h**2 + 6*h. Let t(q) = 0. Calculate q.
-1, 0, 1
Let b(m) = 0*m**3 + 9*m**3 + 0*m**3 - 3*m**2 + 12. Let x(t) = t**3 + t**2. Suppose -3*s + 10*s - 7 = 0. Let d(z) = s*b(z) - 6*x(z). Factor d(c).
3*(c - 2)**2*(c + 1)
Let h(n) = n**2 + n + 6*n - 3*n - 2*n - 1. Let l be h(-3). Find d, given that d**l - 2 - 4*d - d + 3*d + d = 0.
-1, 2
Let s(z) = -8*z**5 + 50*z**4 - 56*z**3 - 90*z**2 - 22*z. Let i(x) = x**5 - 7*x**4 + 8*x**3 + 13*x**2 + 3*x. Let w(d) = -44*i(d) - 6*s(d). Solve w(b) = 0.
-2, 0, 2
Let x(l) be the second derivative of -l**8/42 - 2*l**7/35 + l**5/15 - 15*l**2/2 - 33*l. Let b(d) be the first derivative of x(d). Factor b(w).
-4*w**2*(w + 1)**2*(2*w - 1)
Let v be (-10)/80 + 17/8. Suppose 2*q + v - 8 = 0. Find a such that -10*a**q - 3*a**4 + 2*a**4 - 7*a**4 + 3*a**4 + 5*a**5 = 0.
-1, 0, 2
Suppose x = 2*x + 2*y + 8, -3*x + 4 = -y. Let i(a) = a**3 - 9*a**2 + 13*a + 2. Let c be i(2). Factor c*g + 1/5*g**5 + x - 2/5*g**4 + 0*g**2 + 1/5*g**3.
g**3*(g - 1)**2/5
Let p be -1 + (-2 + 1)*-21. Let q be (-5)/p + 17/4. What is w in -3*w**q + 2*w**2 + 4*w**3 + 3*w**4 - 4*w**5 - 2*w**4 = 0?
-1, -1/2, 0, 1
Let b(f) be the third derivative of f**8/1008 - f**7/315 + f**5/90 - f**4/72 + 55*f**2. What is t in b(t) = 0?
-1, 0, 1
Let u be (-110 - 1) + 2 - -1. Let g be (-4)/18 + (-672)/u. Factor 8*l**3 - 2*l**4 - 14*l**2 - g*l**2 + 22*l**2 - 8*l.
-2*l*(l - 4)*(l - 1)*(l + 1)
Let j be 20/(-36)*36/120*-1. Factor 2/3 + j*x**3 + 0*x - 1/2*x**2.
(x - 2)**2*(x + 1)/6
Let o be 786 - 0/(0 + -4). Suppose 3*r**5 - 8*r**4 - o - r + 786 + 6*r**3 = 0. Calculate r.
-1/3, 0, 1
Let j(u) be the first derivative of u**3/6 - 5*u**2/4 - 3*u - 11. Let j(n) = 0. Calculate n.
-1, 6
Let c(b) be the third derivative of -b**7/42 - b**6/4 - b**5/3 + 5*b**4/4 + 25*b**3/6 - 30*b**2. Find d, given that c(d) = 0.
-5, -1, 1
Let w(t) be the first derivative of -1/6*t**3 + 1/12*t**4 + 0*t**2 - 3 + 5*t. Let o(v) be the first derivative of w(v). What is d in o(d) = 0?
0, 1
Let x(m) be the second derivative of m**9/15120 - m**8/3360 + m**7/2520 + m**4/3 + 5*m. Let f(o) be the third derivative of x(o). Let f(j) = 0. What is j?
0, 1
Let s be 5 + -7 + 9 - (-102)/(-15). Factor s*h**3 + 0 - 2/5*h**2 + 1/5*h.
h*(h - 1)**2/5
Solve -8/3*r - 16/3*r**4 + 2/3 + 28/3*r**3 - 2*r**2 = 0 for r.
-1/2, 1/4, 1
Let p(n) = -n**3 + 4*n**2 + 15*n - 15. Let i be p(6). Suppose -5*a + 0*a - 5*a - 14*a**i - 2*a**4 - 2*a**2 - 20*a**2 = 0. What is a?
-5, -1, 0
Let t(w) be the first derivative of w**3 - 21*w**2/2 + 18*w + 59. Factor t(c).
3*(c - 6)*(c - 1)
Let h be 4 + (-2 + -1 - -2). Let q be h + 0 + -6 + 17/5. Factor -8/5*v**2 - 4/3*v - q - 4/5*v**3 - 2/15*v**4.
-2*(v + 1)**3*(v + 3)/15
Let d(k) be the first derivative of k**4/6 + 2*k**3/3 - 8*k**2 + 56*k/3 - 65. Let d(t) = 0. Calculate t.
-7, 2
Suppose 33*m - 143 - 22 = 0. Let v(g) be the third derivative of 0 - 2/21*g**3 + 0*g - 1/105*g**m - 3*g**2 - 1/21*g**4. Factor v(h).
-4*(h + 1)**2/7
Let g(q) be the third derivative of 1/6*q**4 + 0*q - 1/120*q**6 + 0 - 1/210*q**7 + 1/10*q**5 - 3*q**2 - 4/3*q**3. Determine z, given that g(z) = 0.
-2, 1, 2
Let d(g) be the first derivative of -3*g**5/10 + g**3/2 - 51. Factor d(f).
-3*f**2*(f - 1)*(f + 1)/2
Suppose -4*l = -4*h, 3*h + h - 36 = -5*l. Suppose -3*s - 5 = 4*j + j, -j + l*s = -22. Factor 2/9*u**3 + 16/9*u - 10/9*u**j - 8/9.
2*(u - 2)**2*(u - 1)/9
Let r(z) be the second derivative of z**7/3360 - z**6/1440 - z**3/2 - 5*z. Let m(u) be the second derivative of r(u). Factor m(p).
p**2*(p - 1)/4
Let s(n) = 5*n**2 + 12*n + 22. Let p(y) = -11*y**2 - 25*y - 45. Let u(z) = -6*p(z) - 13*s(z). Let d be u(8). Factor 0*f + d*f**2 + 5/4*f**4 + 0 - 5/4*f**3.
5*f**3*(f - 1)/4
Let w(l) be the third derivative of l**6/10 + 13*l**5/15 - 14*l**4/3 + 8*l**3 - 15*l**2. Determine d, given that w(d) = 0.
-6, 2/3, 1
Suppose 3*b + 5*j - 9 = 0, -7*b = -5*b - 2*j - 6. Let n be b + -1 + 5 + (-27)/4. Factor n*c**2 + 0 + 0*c + 1/4*c**3 - 1/4*c**4 - 1/4*c**5.
-c**2*(c - 1)*(c + 1)**2/4
Factor 5808/5*w**2 + 3/5*w**4 + 264/5*w**3 + 0 + 0*w.
3*w**2*(w + 44)**2/5
Let h(t) be the second derivative of t**7/6720 - t**6/240 + t**5/20 - 3*t**4/4 + 3*t. Let i(z) be the third derivative of h(z). Factor i(s).
3*(s - 4)**2/8
Factor -13*x**2 + 5 - 20*x + 35*x**2 - 7*x**2.
5*(x - 1)*(3*x - 1)
Let i be (-10)/(-220)*11*4. Factor -3/7*a**i + 0 - 6/7*a.
-3*a*(a + 2)/7
Let i(x) = x**5 - 2*x**4 - 6*x**3 - 3*x**2 + 5*x - 5. Let c(u) = -u**3 - u**2 + u - 1. Let f(g) = 5*c(g) - i(g). Let f(r) = 0. Calculate r.
-1, 0, 1, 2
Let b = 5/7897 + 63141/55279. Factor -8/7 + 6/7*s**2 - b*s.
2*(s - 2)*(3*s + 2)/7
Let n(j) = j**3 - 7*j**2 - 2*j + 15. Let m(v) = v**2 - 11*v - 5. Let u be m(12). Let y be n(u). Factor -4*f**2 + 0 + 12*f + 15 + y.
-4*(f - 4)*(f + 1)
Let c(f) = 6*f**5 + 4*f**4 + 6*f**3 - 15*f**2 - f + 11. Let h(o) = o**5 + o**4 + o**3 - 3*o**2 + 2. Let t(a) = -2*c(a) + 11*h(a). Let t(k) = 0. Calculate k.
-1, 0, 1, 2
Let u(c) be the first derivative of -3*c**5/5 + 6*c**4 - 22*c**3 + 36*c**2 - 27*c + 8. Factor u(g).
-3*(g - 3)**2*(g - 1)**2
Let j(t) be the first derivative of -t + 19 - 3/4*t**2 - 1/6*t**3. Factor j(o).
-(o + 1)*(o + 2)/2
Let u(h) be the second derivative of -h**7/280 - h**6/60 + h**5/40 + h**4/4 - h**3/2 + 6*h. Let d(v) be the second derivative of u(v). Factor d(t).
-3*(t - 1)*(t + 1)*(t + 2)
Let p(r) = -4*r**2 + 38*r - 70. Let m(u) = -4*u**2 + 37*u - 69. Let n be 4/(-26) + 201/39. Let q(z) = n*p(z) - 6*m(z). Factor q(b).
4*(b - 4)**2
Let h(d) be the first derivative of -d**8/4200 - d**7/1050 + d**5/150 + d**4/60 - d**3/3 + 6*d + 21. Let x(a) be the third derivative of h(a). Factor x(q).
-2*(q - 1)*(q + 1)**3/5
Suppose -17*w - w - 164 = -100*w. Find k such that 1/5*k**w + 1/5 + 2/5*k = 0.
-1
Let j(g) = -31*g**3 - 93*g**2 - 40*g + 12. Let z(i) = -94*i**3 - 278*i**2 - 120*i + 32. Let x(m) = 11*j(m) - 4*z(m). Solve x(w) = 0 for w.
-2, -2/5, -1/7
Let b = -1 + 3. Suppose 4*a - b*o - 14 = 0, 0*a - 3*a - 2*o + 7 = 0. Factor -5*l - 12*l - 3 - 18*l**2 + l - 3*l**4 + 28*l + 12*l**a.
-3*(l - 1)**4
Let a = -37 - -33. Let s(r) = -16*r**2 + 12*r. Let w(o) = o**3 + 33*o**2 - 25*o. Let g(j) = a*w(j) - 9*s(j). Factor g(q).
-4*q*(q - 2)*(q - 1)
Let o(r) = r**2 + r. Let j(n) = -n. Let m be j(-1). Let w be o(m). Factor 0 + 2/7*l + 0*l**w - 2/7*l**3.
-2*l*(l - 1)*(l + 1)/7
Let y(w) = -10*w**2 + 5*w. Let h be (36/(-10))/((-4)/10). Let d(i) = -4*i + h*i - 2*i**2 + i - 9*i**2. Let z(p) = 5*d(p) - 6*y(p). Factor z(r).
5*r**2
Let v(g) = 614*g - 6140. Let h be v(10). Factor 12/5*m + h - 2/5*m**2.
-2*m*(m - 6)/5
Factor -21*z + 40 + 1/2*z**2.
(z - 40)*(z - 2)/2
What is j in 41*j + 4*j**2 - 229*j - 107*j - 12*j + 528 - 225*j = 0?
1, 132
Let c(x) = -x**4 - x**3 - 20*x + 19. Let v(s) = -2*s**4 - 40*s + 37. Let i(z) = 5*c(z) - 3*v(z). Find l such that i(l) = 0.
-2, 1, 2, 4
Let b(d) = -2*d**3 - d. Let f(u) = 13*u**3 + 10*u**2 - 17*u + 12. Let o(p) = 6*b(p) + f(p). Solve o(x) = 0.
-12, 1
Let n(j) = j**3 - 7*j**2 - 9*j + 2. Let i be n(8). Let b = -5 - i. Factor 0*q**2 + q**2 - 2*q**2 - b + 2.
-(q - 1)*(q + 1)
Let y = 27105/16 - 1694. Let t(g) be the second derivative of -12*g - 1/96*g**4 - y*g**3 + 0 + 1/4*g**2. Factor t(o).
-(o - 1)*(o + 4)/8
Let i(z) be the first derivative of -2*z**5/35 + 3*z**4/7 + 2*z**3/7 - 16*z**2/7 - 24*z/7 - 292. Determine v so that i(v) = 0.
-1, 2, 6
Determine p, given that -7/8*p**2 + 3/4*p + 0 - 9/4*p**3 - 5/8*p**4 = 0.
-3, -1, 0, 2/5
Let c(w) = w**3 - 21*w**2 + 25*w - 98. Let f be c(20). Let 0 - 4/5*t**f + 4/5*t = 0. Calculate t.
0, 1
Let l(z) be the second derivative of 3*z**5/20 - z**4 + z**3/2 + 9*z**2 - 260*z. Factor l(u).
3*(u - 3)*(u - 2)*(u + 1)
Let b(s) be the second derivative of 1/105*s**6 + 0*s**2 + 0 - 3/70*s**5 + 11*s + 0*s**4 + 0*s**3. Let b(a) = 0. Calculate a.
0, 3
Let a be 3 - 45/25 - (-12)/15. Let v(l) be t