y*t(g) - 2*n(g). Solve i(l) = 0 for l.
-11
Let j be (-16)/(-10)*(-1)/(-2). Let v be -52 - -60 - (2 + 84/15). What is i in v*i**2 - 6/5 - j*i = 0?
-1, 3
Let l be (-159)/(-780) - (-6)/(-120). Determine c, given that 8/13*c - 8/13 - l*c**2 = 0.
2
Let k = -5736 - -28682/5. Find g, given that -6/5*g**3 + k*g**4 + 0 - 2/5*g + 6/5*g**2 = 0.
0, 1
Let r = -46/19 - -1199/456. Let o(l) be the second derivative of -4*l - 1/40*l**5 + 0 - 2/3*l**3 - r*l**4 - l**2. What is h in o(h) = 0?
-2, -1
Let z(b) be the first derivative of -6 - 2/33*b**3 - 4/11*b**2 + 0*b. Solve z(y) = 0 for y.
-4, 0
Find f, given that 0 + 9/4*f**4 - 12*f**3 + 0*f + 3/4*f**5 + 9*f**2 = 0.
-6, 0, 1, 2
Let w(j) be the first derivative of 4*j**3/3 + 30*j**2 - 64*j + 117. Factor w(n).
4*(n - 1)*(n + 16)
Find d such that 24/13*d + 32/13 + 0*d**2 - 2/13*d**3 = 0.
-2, 4
Factor -1/3*a**2 + 8 - 23/3*a.
-(a - 1)*(a + 24)/3
Suppose -r + 11 = -10. Let c be 30/7 + (-4 - (-78)/r). Factor -i**3 - 1/3*i - 1/3*i**c + 0 - i**2.
-i*(i + 1)**3/3
Let d(b) be the second derivative of b**8/560 - b**7/56 - b**6/10 - b**5/8 + 7*b**4/12 - 14*b. Let l(c) be the third derivative of d(c). What is o in l(o) = 0?
-1, -1/4, 5
Let y be (11/((-11)/(-3)))/7. Let z be (-2)/(-3) + 10/(-15). Factor 9/7*w**2 + 6/7*w + y*w**3 + z.
3*w*(w + 1)*(w + 2)/7
Let u(g) be the first derivative of 0*g + 12 + 1/4*g**4 + 2*g**2 + 4/3*g**3. Factor u(a).
a*(a + 2)**2
Let u be 4*(-1)/(-5)*(85 - 80). Let i(y) be the first derivative of 9/4*y**u + 0*y**5 + 0*y**2 + 0*y - 1/2*y**6 + 2 - 2*y**3. Solve i(x) = 0 for x.
-2, 0, 1
Let h(k) be the first derivative of 7/4*k**2 - 14 + 1/2*k**3 + k. Determine c, given that h(c) = 0.
-2, -1/3
Let h(c) = -5*c**5 - c**4 + 11*c**3 + 11*c**2 + 2*c. Let i be 20/6*12/8. Let f(j) = -j**5 - j**3. Let q(y) = i*f(y) - 5*h(y). What is m in q(m) = 0?
-1, -1/4, 0, 2
Let 0 + 40/7*l**2 - 1/7*l**3 - 400/7*l = 0. What is l?
0, 20
Let z be (-32)/(-84)*(-12)/(-16). Let q be (-2)/(-4) + (-75)/350. Find b, given that -q*b**5 + z*b**4 + 0*b + 0*b**2 + 0 + 0*b**3 = 0.
0, 1
Let 2 + 2*u**3 - 1/2*u**4 - 2*u - 3/2*u**2 = 0. What is u?
-1, 1, 2
Let r(k) be the third derivative of -2/165*k**5 - 1/660*k**6 - 2/33*k**3 - 5/132*k**4 + 0 - 3*k**2 + 0*k. Determine s, given that r(s) = 0.
-2, -1
Factor -32/5*w**2 + 0 + 2/5*w**5 + 0*w + 14/5*w**4 + 16/5*w**3.
2*w**2*(w - 1)*(w + 4)**2/5
Suppose -7*c + 27 = -6*c. Solve 1728*v + 144*v**2 - c*v**3 + 60*v**3 + 7703 - 791 - 29*v**3 = 0 for v.
-12
Let z(c) be the third derivative of -3/4*c**3 + 0 + 8*c**2 + 0*c + 1/15*c**5 + 1/40*c**6 - 1/8*c**4 + 1/420*c**7. Determine v, given that z(v) = 0.
-3, -1, 1
Let k be 0 - ((-490)/123 - (-4)/1). Let n = 373/246 + k. Suppose 0*f**3 - n*f**4 + 0*f + 0*f**2 + 0 - 3/2*f**5 = 0. Calculate f.
-1, 0
Let b(i) be the first derivative of -i**5/30 + i**4/6 - i**3/3 - 2*i**2 + 10. Let g(s) be the second derivative of b(s). Factor g(d).
-2*(d - 1)**2
Let q(b) be the second derivative of b**8/10080 - b**6/360 - b**5/90 - 5*b**4/12 + 6*b. Let y(z) be the third derivative of q(z). Determine a so that y(a) = 0.
-1, 2
Suppose 0 = -6*q - 25 + 91. Factor x**4 - 5*x**3 - q*x**4 - 7*x**3 - 2*x**5.
-2*x**3*(x + 2)*(x + 3)
Let 4*s**3 - 90 + 5*s**4 - 8*s**3 + 75 - 4*s**4 - 10*s**2 + 28*s = 0. Calculate s.
-3, 1, 5
Let x(t) be the third derivative of -t**7/840 - t**6/60 - t**5/10 + 11*t**4/12 + 10*t**2. Let n(b) be the second derivative of x(b). What is z in n(z) = 0?
-2
Factor 0 - 72/7*n + 4/7*n**3 - 30/7*n**2 + 2/7*n**4.
2*n*(n - 4)*(n + 3)**2/7
Let t(x) be the second derivative of -1/3*x**4 + 30*x - 8/3*x**3 - 6*x**2 + 0. Solve t(c) = 0.
-3, -1
Suppose -53 = -3*p + 2*b, 5*p - 8*p = -b - 52. Factor 7*m**4 - p*m**2 - 5*m**4 + 15*m**2.
2*m**2*(m - 1)*(m + 1)
Let u be (-8)/16 + 7/2 + -3. Suppose u*q - q = -5. Suppose -1/2 + w**3 - 1/2*w**q - 1/2*w**4 - 1/2*w + w**2 = 0. What is w?
-1, 1
Let n(d) = 11*d**5 - 10*d**4 - 92*d**3 + 262*d**2 - 63*d - 108. Let f(a) = a**5 + a**4 - a**3 - a**2. Let j(u) = 5*f(u) - n(u). Suppose j(x) = 0. What is x?
-4, -1/2, 1, 3
Let m(n) be the second derivative of -n**6/15 - n**5/10 + n**4/2 + 5*n**3/3 + 2*n**2 + 17*n + 2. Factor m(j).
-2*(j - 2)*(j + 1)**3
Let f(c) be the second derivative of -c**5/110 - c**4/33 + c**3/33 + 2*c**2/11 - 38*c. Factor f(o).
-2*(o - 1)*(o + 1)*(o + 2)/11
Suppose 0 = 2*x - 4, 2*v + 34*x = 32*x + 4. Let k(j) be the second derivative of 1/60*j**4 + 0*j**2 + 0*j**3 + v - 4*j + 1/50*j**5. Factor k(t).
t**2*(2*t + 1)/5
Let q(j) be the third derivative of j**8/50400 - j**7/6300 + 19*j**5/60 - 4*j**2. Let x(n) be the third derivative of q(n). Factor x(m).
2*m*(m - 2)/5
Find c, given that 80*c**3 - 8 - 2 - 8*c**5 - 4*c**4 - 26 + 40*c**2 - 72*c = 0.
-3, -1, -1/2, 1, 3
Let g = 282 - 279. Let n(x) be the third derivative of 0*x**6 + 0*x**g + 0 - 6*x**2 - 1/6*x**4 + 1/10*x**5 - 1/105*x**7 + 0*x. Factor n(k).
-2*k*(k - 1)**2*(k + 2)
Let h be 194/45 - (-15 - (-2187)/135). What is s in 2/9*s**4 + 4/3*s**3 - 2/3 - 2/9*s**5 - h*s**2 + 22/9*s = 0?
-3, 1
Factor -648/17 + 72/17*y - 2/17*y**2.
-2*(y - 18)**2/17
Let l(c) be the second derivative of c**4/30 - 4*c**3/15 - 101*c. Solve l(o) = 0.
0, 4
Let c be ((-2)/4)/((-14)/(56/1)). Let m be (-4)/6*1/(-2). Factor n - 2/3 - m*n**c.
-(n - 2)*(n - 1)/3
Let u(z) = 25*z**3 + 95*z**2 + 5. Let p(l) = 11*l**3 + 48*l**2 + 2. Let o(c) = -5*p(c) + 2*u(c). Factor o(b).
-5*b**2*(b + 10)
Let p(g) = g**2 - 3. Let h(r) = 5*r**2 + 2*r - 14. Let b(m) = 2*h(m) - 11*p(m). Let b(o) = 0. What is o?
-1, 5
Let g(a) = 26*a**3 - 66*a**2 + 181*a - 171. Let y(v) = 7*v**3 - 17*v**2 + 45*v - 43. Let s(c) = 4*g(c) - 15*y(c). Let s(k) = 0. What is k?
-13, 1, 3
Let g be 12/(-28)*(-11 - -4). Suppose -4*f - g = -15. Suppose 3/2 - 3/2*z**f - 3/2*z**2 + 3/2*z = 0. Calculate z.
-1, 1
Let a(m) = m**3 - 6*m**2 - 6*m - 7. Let d be a(7). Suppose -8*c + 5*c + 9 = d. Determine g so that -c*g**2 + 11 - 2*g - 5 - g = 0.
-2, 1
Let b be 12 + -5 + (-318)/54. Find o, given that b*o**2 + 0 + 8/9*o**3 + 2/9*o = 0.
-1, -1/4, 0
Let i be -10*((-65)/15 + 4). Let a = i + -32/15. Factor 0 - 8/5*m**3 - 2/5*m**4 - a*m**2 + 0*m.
-2*m**2*(m + 1)*(m + 3)/5
Let t(u) be the third derivative of u**8/12 - 44*u**7/105 + 4*u**6/5 - 2*u**5/3 + u**4/6 - 19*u**2 - u. Determine v so that t(v) = 0.
0, 1/7, 1
Let u(b) be the second derivative of 1/96*b**4 + 1/240*b**5 + 0 + 1/2*b**2 + 0*b**3 + 6*b. Let o(c) be the first derivative of u(c). Factor o(w).
w*(w + 1)/4
Let n = 300 - 296. Let s(y) be the second derivative of -1/2*y**2 - 2/9*y**3 - 1/36*y**4 - n*y + 0. Determine m, given that s(m) = 0.
-3, -1
Let v(q) = 3*q**2 - 24*q + 21. Let g(p) = 1. Let a(u) = u**2 - 6*u - 1. Let k(b) = -a(b) - 6*g(b). Let r = -7 - -9. Let j(f) = r*v(f) + 9*k(f). Factor j(t).
-3*(t - 1)**2
Suppose 116/5*t - 112/5 + 108/5*t**2 - 116/5*t**3 + 4/5*t**4 = 0. Calculate t.
-1, 1, 28
Let k(b) be the third derivative of b**8/53760 + b**7/840 + b**6/30 - b**5/6 - 6*b**2 - b. Let j(x) be the third derivative of k(x). Factor j(f).
3*(f + 8)**2/8
Let m be (-10)/(-8)*1/5. Let y = -17/4 + 5. Factor -1/2*r**3 - m*r**4 - 1 + y*r**2 + r.
-(r - 1)**2*(r + 2)**2/4
Let k(y) = -2*y + 4*y - 3*y - 2*y**2 + 1 + y**3 - 2*y**3. Let c be k(-2). Suppose 8 - 3 - 6*n + 6*n**2 - c - 2*n**3 = 0. Calculate n.
1
Let s = 57 - 51. Factor 5*k**5 + 26*k**4 - 21*k**4 - 5*k**3 - s*k**2 + k**2.
5*k**2*(k - 1)*(k + 1)**2
Suppose 88 = 7*o - 3*o. Let k(q) = -q**3 + 3*q**2 - q + 7. Let v be k(3). Factor 10*a + 0*a - o*a**3 - 6*a**5 - v*a**3 + 6*a**3 + 20*a**4 - 4.
-2*(a - 1)**4*(3*a + 2)
Let p(g) be the first derivative of g**4/18 - 8*g**3/9 + 216. Factor p(a).
2*a**2*(a - 12)/9
Let d(a) = -a**3 - 5*a**2 + 6*a + 4. Let o be d(-6). Let r be 6/20*o + -1. Factor 0 + r*z**2 + 2/5*z.
z*(z + 2)/5
Suppose -48/5 - 362/5*a**2 + 14/5*a**4 + 136/5*a**3 + 52*a = 0. Calculate a.
-12, 2/7, 1
Let x(k) = -k**5 - k**4 + 1. Let m = -41 + 42. Let u(b) = -b**5 - 11*b**4 - 15*b**3 - 5*b**2 - 4. Let s(h) = m*u(h) + 4*x(h). Factor s(c).
-5*c**2*(c + 1)**3
Let x(s) be the first derivative of -7*s**6/24 + 13*s**5/10 - 3*s**4/8 - 8*s**3/3 + 13*s**2/8 + 3*s/2 + 1036. Determine c so that x(c) = 0.
-1, -2/7, 1, 3
What is m in 2/3*m + 0 - 1/2*m**4 + 1/6*m**3 + 4/3*m**2 = 0?
-1, -2/3, 0, 2
Suppose -11*f - 8 = -15*f. Factor -43*k**4 - 21*k**3 + 28*k**f + 15*