- 16/3*u**3 + 0 = 0. Calculate u.
-1, -2/7, 0
Let t be ((-16)/10)/(18/(-45)). Suppose -10 + t*c - 2/5*c**2 = 0. What is c?
5
Let c(j) be the first derivative of 3*j**4/16 - j**3/8 - j**2/4 + 6*j + 3. Let t(v) be the first derivative of c(v). Determine k so that t(k) = 0.
-1/3, 2/3
Let l(b) = 27*b**3 + 141*b**2 + 124*b + 20. Let h(t) = 13*t**3 + 70*t**2 + 63*t + 10. Let v(y) = -5*h(y) + 2*l(y). Suppose v(k) = 0. Calculate k.
-5, -1, -2/11
Let z be (-14)/42*6103/5. Let y = z + 407. Find u, given that -y*u**2 - 2/5*u + 0 = 0.
-3, 0
Suppose -2 = -t, -5*y + 5*t + 12 = -8. Let j be 14/4 + (-2)/4. Determine u so that 3*u**2 - 6*u**3 + 15*u**j - 3*u - y*u**3 - 3 = 0.
-1, 1
Let n = -1866 - -1871. Factor 0*l + 4/9*l**4 - 2/9*l**n + 8/9*l**3 - 16/9*l**2 + 0.
-2*l**2*(l - 2)**2*(l + 2)/9
Let f(z) be the first derivative of -z**5/25 - z**4/5 - 4*z**3/15 - 106. Factor f(m).
-m**2*(m + 2)**2/5
Suppose 0*i - 2*i - 774 = 0. Let w = 4265/11 + i. Factor w*l**5 + 10/11*l**3 + 0*l + 0 - 2/11*l**2 - 16/11*l**4.
2*l**2*(l - 1)*(2*l - 1)**2/11
Factor -4/7*f**2 + 0 + 1/7*f**5 + 3/7*f**3 + 4/7*f**4 - 4/7*f.
f*(f - 1)*(f + 1)*(f + 2)**2/7
Let c = -197 - -200. Let j(l) be the second derivative of 0 - 5*l + 0*l**2 + 1/25*l**5 - 1/30*l**c - 1/20*l**4. Solve j(i) = 0.
-1/4, 0, 1
Factor 0 - 4/3*g**2 - 48*g.
-4*g*(g + 36)/3
Let h(x) = -x**3 + 46*x**2 + 523*x + 878. Let b(g) = 4*g**3 - 139*g**2 - 1568*g - 2632. Let r(m) = -4*b(m) - 14*h(m). Factor r(u).
-2*(u + 2)*(u + 21)**2
Let b be 1/((-12)/(-132)) + 16/(-2). Find j, given that 18*j + 9/2*j**2 + 3/8*j**b + 24 = 0.
-4
Let h be (-5)/(-10)*-5*-2. Suppose -3*w - 4 = -4*w. Factor 4*z**4 + h*z**3 - 2*z**w - z**3 + 2*z**2.
2*z**2*(z + 1)**2
Suppose 5*n - 4*b - 24 = 0, 2*n + 3*n + 3*b - 17 = 0. Let w be 1/((-3)/((-336)/n)). Solve 8*u**4 - 8 - u**3 - 3*u**3 + 0*u**2 + w*u - 24*u**2 = 0 for u.
-2, 1/2, 1
Let l(j) be the second derivative of -j**5/70 - j**4/14 + j**3/21 + 3*j**2/7 + 263*j. Let l(h) = 0. Calculate h.
-3, -1, 1
Factor -2/5 + 0*u**3 + 0*u + 4/5*u**2 - 2/5*u**4.
-2*(u - 1)**2*(u + 1)**2/5
Let r(k) be the third derivative of -k**8/672 - k**7/84 + 7*k**6/80 - 23*k**5/120 + k**4/6 + 198*k**2. Factor r(f).
-f*(f - 1)**3*(f + 8)/2
Let o = -24 + 56. Let w be (5*1/60)/(3/o). What is z in -w*z - 8/9*z**3 - 4/3*z**2 - 2/9 - 2/9*z**4 = 0?
-1
Let p = -1067 + 1067. Solve -2/13*s**2 + 0*s - 18/13*s**4 + p - 12/13*s**3 = 0.
-1/3, 0
Suppose -9*t = -3*t - 60. Suppose -5*k + t = w - 0*w, -w = -5*k + 10. Factor -56/13*m**3 + 0 + 98/13*m**4 + w*m + 8/13*m**2.
2*m**2*(7*m - 2)**2/13
Suppose -2*a - 6*a - a - 4*a**2 - 1 + 9 + 5*a = 0. Calculate a.
-2, 1
Let n(b) be the second derivative of 10/3*b**3 + 1/3*b**4 + 0 + 32*b + 0*b**2. Factor n(f).
4*f*(f + 5)
Let s = 5 + 25. Suppose -13*g + 23*g - s = 0. Factor 5/2*n**2 - 7/2*n + 3/2 - 1/2*n**g.
-(n - 3)*(n - 1)**2/2
Let t be (5 - -1)/((168/(-30))/(-14)). Let s(y) = y**3 - 15*y**2 + 2*y - 29. Let x be s(t). Let 1/2*b - 1/2*b**2 + x = 0. Calculate b.
-1, 2
Let m(n) be the third derivative of 0 - 15*n**2 + 0*n**3 - 1/144*n**4 - 1/360*n**5 + 0*n. Factor m(z).
-z*(z + 1)/6
Factor 0*x**2 + 0 + 7*x**3 + 1/3*x**4 + 0*x.
x**3*(x + 21)/3
Let r(a) = -13. Let l(s) = -2. Let y(d) = 6*l(d) - r(d). Let i(b) = b**2 + 5. Let z = -4 + -1. Let p(h) = z*y(h) + i(h). Suppose p(w) = 0. What is w?
0
Factor -4/9 + 2/3*v**2 - 2/3*v + 4/9*v**3.
2*(v - 1)*(v + 2)*(2*v + 1)/9
Let o be 0 + (-560)/45 + -2. Let u = o - -44/3. Let u*j**4 + 4/9*j + 8/9*j**3 + 0 + 10/9*j**2 = 0. What is j?
-2, -1, 0
Let m = 171 - 505/3. Let z be -12 - (-11 + 45/(-27)). Factor -m*t + 8/3 + z*t**2.
2*(t - 2)**2/3
Factor -24/5*x**2 + 2/5*x**3 + 0*x + 0.
2*x**2*(x - 12)/5
Let r(k) be the third derivative of -1/360*k**5 + 7/36*k**3 + 0*k + 0 + 1/24*k**4 + 6*k**2. Suppose r(g) = 0. Calculate g.
-1, 7
Let h = 3035/9 - 337. Let f(c) be the first derivative of 0*c + 0*c**2 + h*c**3 - 5. Find q, given that f(q) = 0.
0
Let p(g) be the third derivative of -g**7/1260 - 2*g**6/135 - 13*g**5/180 - g**4/6 + 8*g**3/3 - 25*g**2. Let u(f) be the first derivative of p(f). Factor u(w).
-2*(w + 1)**2*(w + 6)/3
Let i = -421/42 + 61/6. Let z(p) be the second derivative of 0*p**3 + 1/35*p**5 + 8/7*p**2 - i*p**4 + 0 + 3*p. Let z(q) = 0. What is q?
-1, 2
Let v = -164 + 167. Let w(c) be the second derivative of 4/33*c**v - 5*c + 0 + 0*c**2 + 2/33*c**4 + 1/110*c**5. Determine i, given that w(i) = 0.
-2, 0
What is v in 3 - 701*v**3 + 273*v - 543*v - 9882*v**3 + 6336*v**2 - 1033*v**3 = 0?
1/44, 1/2
Let d = -46 - -50. Let i(l) be the second derivative of 0 + 3/20*l**5 + 0*l**2 - 6*l + 1/10*l**6 - 1/2*l**3 - 1/4*l**d. Factor i(h).
3*h*(h - 1)*(h + 1)**2
Let g be (-35)/(-56)*-14 + -3 + 14. Let -3/4*n - g*n**4 + 1/2 - 21/4*n**2 - 25/4*n**3 = 0. What is n?
-1, 2/9
Suppose 5*y - 6*y = t - 2, t - y = 4. Solve 2*w**2 + 3*w + w + w**t + 2*w**2 = 0.
-2, 0
Suppose 29*f - 34*f + 270 = 0. Factor 54*b + f + 50*b**3 - 104*b**3 + 56*b**3 + 18*b**2.
2*(b + 3)**3
Let d be -15*(-4)/6 - 3. Factor -75*c**4 - 3 - 15*c - d*c**3 + 78*c**4 - 21*c**2 + 21 + 22*c**3.
3*(c - 1)**2*(c + 1)*(c + 6)
Suppose s + 3*x - x - 43 = 0, -2 = 2*x. Suppose 5*n - s = -0*n. Find a such that -3*a**2 + 12*a**3 + a + a**4 - n*a**3 - 2*a**4 = 0.
0, 1
Let p(m) be the second derivative of 0 - 22*m + 0*m**2 + 0*m**3 - 1/8*m**5 + 5/4*m**4. Factor p(l).
-5*l**2*(l - 6)/2
Suppose 4*d + 2*c = -c + 6, 2*d + 2 = -4*c. Find z such that -4*z - 5 - d*z + 3*z + 3*z**2 + 1 = 0.
-2/3, 2
Let y be (-6)/20 + 4134/8580. Factor -4/11*k**3 + y*k**4 + 4/11*k + 0*k**2 - 2/11.
2*(k - 1)**3*(k + 1)/11
Let z(h) be the first derivative of 21*h**6/2 + 132*h**5/5 - 60*h**4 - 50*h**3 + 177*h**2/2 + 18*h + 591. Suppose z(x) = 0. Calculate x.
-3, -1, -2/21, 1
Determine j, given that -30 - 4294*j**2 + 5*j + 14*j + 8*j + 4297*j**2 = 0.
-10, 1
Let x(y) = y + 1. Let o be x(1). Suppose -o*m - m = b - 11, 12 = 4*m. Let -9/4 + 3/4*c**b + 3/2*c = 0. What is c?
-3, 1
Suppose 32/3 - 2/9*u**2 - 26/9*u = 0. What is u?
-16, 3
Let g(j) = 4*j**3 - 23*j**2 - 20*j + 3. Let a(f) = -55*f**3 + 300*f**2 + 260*f - 40. Let z(l) = 3*a(l) + 40*g(l). Solve z(h) = 0.
-2, 0
Suppose -4*q - 5 + 21 = 0. Suppose 291 = q*z + 35. Let -11*g**3 - z*g - 14*g**3 - 16 - 84*g**2 - 8*g**4 - 19*g**3 = 0. What is g?
-2, -1, -1/2
Let s be (-94)/(-2585) - (128/(-110) + (-52)/(-65)). Factor 12/5 - 2/5*q**2 + s*q.
-2*(q - 3)*(q + 2)/5
Let w(b) be the second derivative of -b**7/14 + b**6/5 + 17*b + 1. Suppose w(x) = 0. What is x?
0, 2
Suppose 5*k = -r + 6, 0 = -4*k + 4*r + 36 - 12. Determine g, given that 0*g**3 + 3*g**3 - 2*g**2 - g**k + 0*g**2 = 0.
0, 1
Suppose -5/2*v - 5/2*v**3 - 5*v**2 + 0 = 0. What is v?
-1, 0
Let z(y) = -2*y**2 - 3*y - 1. Let j(x) = -2*x**2 - 2*x - 1. Let r(i) = 3*j(i) - 4*z(i). Let m(c) = -2*c**2 - 6*c - 2. Let s(d) = -6*m(d) - 4*r(d). Factor s(u).
4*(u + 1)*(u + 2)
Let p(d) be the first derivative of -d**6/2 + 51*d**5/20 - 3*d**4/2 + 16*d - 20. Let m(i) be the first derivative of p(i). Factor m(w).
-3*w**2*(w - 3)*(5*w - 2)
Let f(t) be the third derivative of -4*t**7/105 - 47*t**6/60 + 2*t**5/5 - 792*t**2. Factor f(c).
-2*c**2*(c + 12)*(4*c - 1)
Let c(j) be the first derivative of -1/120*j**5 - 3 + 1/24*j**4 + 0*j**2 + 13*j - 1/18*j**3. Let n(t) be the first derivative of c(t). Let n(w) = 0. What is w?
0, 1, 2
Factor 0 - 1/5*l**2 + 3/5*l.
-l*(l - 3)/5
Suppose -7 = -x + 45. Let d = -19 + x. Let w(s) = -3*s**2 + 6*s - 4. Let c(t) = -24*t**2 + 48*t - 33. Let m(z) = d*w(z) - 4*c(z). Factor m(q).
-3*q*(q - 2)
Let x(p) be the second derivative of -8/3*p**3 + 11*p + 5/3*p**4 + 0 - 5/12*p**5 + 11/2*p**2. Let g(s) be the first derivative of x(s). Solve g(v) = 0.
4/5
What is m in 26/5*m + 2/5*m**3 - 16/5*m**2 - 12/5 = 0?
1, 6
Let z(c) be the third derivative of -c**7/525 + c**5/50 - c**4/30 - 2*c**2 - 176*c. Factor z(t).
-2*t*(t - 1)**2*(t + 2)/5
Suppose 45*v**5 - 288/5*v**2 + 48/5 + 129*v**4 + 276/5*v**3 - 96/5*v = 0. Calculate v.
-2, -1, -2/3, 2/5
Let k(r) = r**5 + r**3 + r**2 - r. Let m(o) = 2*o**5 - 12*o**4 - 24*o**3 - 28*o**2 - 22*o - 4. Let c(a) = 4*k(a) - m(a). Solve c(i) = 0.
-2, -1
Let g(b) be the first derivative of 0*b + 0*b**3 + 5/2*b**4 + 6 + 0*b**2 - 5*b**5. Factor g(c).
-5*c**3*(5*c - 2)
Let l = 957 - 4783/5. Factor -8/5*k**4 - l*k - 12/5*k**3 + 0 - 8/5*k**2 - 2/5*k*