 2*q(l). Factor o(y).
2*y*(y - 3)
Let n be (1 + -4)*21/(-756)*16. Let 0 + 8/3*a - n*a**2 - 4/3*a**3 = 0. What is a?
-2, 0, 1
Let r(g) = -2*g**3 + 8*g**2 - 29*g + 119. Let y be r(4). Let 4/19*j**y + 4/19 - 2/19*j + 4/19*j**4 - 8/19*j**2 - 2/19*j**5 = 0. Calculate j.
-1, 1, 2
Let y be (-93)/(-615) + (-122)/(-2501). Let 0*w**2 + 2/5 - y*w**3 + 3/5*w = 0. Calculate w.
-1, 2
Suppose -2*t - 4*p + 6 = 0, 2*t = -p - 4 + 10. Let x be (t - 0) + 140/(-50). Determine y so that -9/5*y - 14/5*y**3 - x*y**5 + 2/5 + 16/5*y**2 + 6/5*y**4 = 0.
1, 2
Let c = -23763 + 23763. What is a in 0*a + 0*a**2 - 1/4*a**5 + 5/4*a**4 - a**3 + c = 0?
0, 1, 4
Find q, given that 559*q**3 - 9 - 16*q**2 + 38*q - 3 - 569*q**3 = 0.
-3, 2/5, 1
Let y(s) be the first derivative of 25*s**6/3 + 10*s**5 - 69*s**4/2 - 250*s**3/3 - 68*s**2 - 24*s + 104. Determine v so that y(v) = 0.
-1, -3/5, -2/5, 2
Let p be ((3/15)/((-8)/(-8)))/1. Let s(a) be the first derivative of 2/9*a**3 + 1/6*a**4 - 1/2*a**2 - p*a**5 + 1/18*a**6 + 1/3*a - 8. Factor s(z).
(z - 1)**4*(z + 1)/3
Let f(h) = 4*h**3 + 2*h**2 + 8. Let u be f(-3). Let j = 331/4 + u. Solve 3/4*z - j*z**2 + 0 = 0 for z.
0, 1
Let w(q) be the first derivative of 0*q**3 - 3*q**4 - 4/5*q**5 - 9 + 0*q**2 + 0*q. Factor w(v).
-4*v**3*(v + 3)
Suppose -23*s = 3*s - 52. Let y(b) be the first derivative of -1/2*b**s - 1/6*b**3 - 1/2*b + 4. What is q in y(q) = 0?
-1
Let h(y) be the second derivative of -y**4/150 - y**3/75 + 18*y + 2. Determine b so that h(b) = 0.
-1, 0
Suppose x + 8 = 3*y, 3*x + 4 = 3*y + y. Let 130*t**5 + 25*t**2 + 55*t**4 - 4*t**5 + 79*t**x - 33*t**2 = 0. What is t?
-1, -2/7, 0, 2/9
Suppose 44 = -3*t + 5*q + 49, 0 = t - 4*q + 3. Factor 16/7*x + 0 + 4/7*x**t + 48/7*x**2 + 52/7*x**3 + 24/7*x**4.
4*x*(x + 1)**2*(x + 2)**2/7
Let k(v) be the second derivative of v**6/60 + v**5/20 - 7*v**4/24 - 2*v**3/3 + 3*v**2 - 133*v + 3. Determine j, given that k(j) = 0.
-3, -2, 1, 2
Suppose -o - 2*o = -9. Let -3*f**3 - 2 - f + 4*f**4 + 4 + 4*f**3 - o*f**4 - 3*f**2 = 0. Calculate f.
-2, -1, 1
Let b be ((-1)/(-4))/(3/60). Determine q so that -3*q + 4*q**5 - 7*q - 24*q**2 - 18*q**3 + q - q**b = 0.
-1, 0, 3
Let j(o) be the third derivative of -1/2*o**4 - 10*o**2 + 3*o**3 + 0 + 0*o + 1/30*o**5. Find g such that j(g) = 0.
3
Factor 343/5*i**5 - 846/5*i**2 + 1414/5*i**3 - 1127/5*i**4 + 243/5*i - 27/5.
(i - 1)**2*(7*i - 3)**3/5
Let q(j) = -7*j**4 - 30*j**3 - 242*j**2 - 13. Let i(r) = -3*r**4 - 15*r**3 - 120*r**2 - 6. Let t(g) = -13*i(g) + 6*q(g). Find b, given that t(b) = 0.
-4, 0, 9
Let u(q) = -q**2 + 8*q + 14. Let h be u(9). Suppose 2/7*w**h + 0*w**2 + 2/7*w - 4/7*w**3 + 0 + 0*w**4 = 0. What is w?
-1, 0, 1
Let j(y) = y**2 + 9*y + 5. Let i be j(-8). Let z be -4*(i + ((-30)/4)/(-3)). Factor 0 + 2/5*w + 0*w**3 + 4/5*w**4 - 2/5*w**5 - 4/5*w**z.
-2*w*(w - 1)**3*(w + 1)/5
Let b be (-6)/42*(-98)/21*3. Factor -2/5*k + 1/5*k**b + 1/5.
(k - 1)**2/5
Let p(j) = -4*j**2 - j - 1. Let m(v) = -v**2. Let r(t) = 3*m(t) - p(t). Let a(d) = 3*d**3 - 16*d**2 + 23*d - 13. Let w(u) = -a(u) - r(u). Factor w(z).
-3*(z - 2)**2*(z - 1)
Let m(f) = f**5 + f**3 + 1. Let b(c) = -10*c**4 + 25*c**3 + 10*c**2 - 15*c + 5. Let h(n) = -b(n) + 5*m(n). Determine x, given that h(x) = 0.
-3, -1, 0, 1
Let -220/7*o**2 + 20/7*o**4 + 250/7*o - 88/7 + 40/7*o**3 - 2/7*o**5 = 0. What is o?
-4, 1, 11
Let i(d) be the third derivative of -d**5/12 + 80*d**4/3 - 10240*d**3/3 + 39*d**2. Solve i(n) = 0.
64
Factor 4*w**5 - w**4 - 5*w**3 + 37*w**4 + 37*w**3.
4*w**3*(w + 1)*(w + 8)
Let t(m) be the second derivative of -m**6/90 + 2*m**5/15 + 5*m**3/3 + 12*m. Let d(z) be the second derivative of t(z). Factor d(f).
-4*f*(f - 4)
Let m = 965817 - 645165597/668. Let a = 2/167 + m. Suppose -1/8*d + 1/4*d**2 + 1/8*d**3 - a = 0. What is d?
-2, -1, 1
What is j in 28/3*j**4 + 20/3 + 20/3*j**3 - 2*j**5 - 16*j**2 - 14/3*j = 0?
-1, 2/3, 1, 5
Let f(t) be the third derivative of 0*t + 0*t**3 - 16*t**2 + 0*t**4 + 1/180*t**5 + 0. Factor f(s).
s**2/3
Factor 8*z - 9/2*z**2 + 2.
-(z - 2)*(9*z + 2)/2
Let i(r) = -2*r - 4. Let w be i(-3). Factor 9*f**w - 13*f**2 + 5*f**2 + 4 + 4*f.
(f + 2)**2
Let t be (2/(-68))/(68/(-272)) + (-388)/(-170). Suppose 0*w + t - 3/5*w**2 = 0. Calculate w.
-2, 2
Let q(h) be the third derivative of h**7/2520 - h**6/360 + h**4/18 - 5*h**3/3 - 22*h**2. Let s(l) be the first derivative of q(l). Factor s(k).
(k - 2)**2*(k + 1)/3
Let w be -32 - (-3 + (-4)/2). Let c be 7 - (4 + (-75)/w). Suppose -c*y**3 + 0*y + 2/3*y**2 - 8/9 = 0. Calculate y.
-1, 2
Let g(r) be the second derivative of -r**7/1260 - r**6/120 - r**5/30 - 3*r**4/4 - 29*r. Let w(a) be the third derivative of g(a). Suppose w(m) = 0. What is m?
-2, -1
What is i in 27*i + 3/2*i**2 - 57/2 = 0?
-19, 1
Let m(t) = -2*t**2 + 23*t - 59. Let p be m(7). Let v(x) be the first derivative of -15/4*x**p + 3 - 5*x**2 + 0*x - 35/3*x**3. Determine k so that v(k) = 0.
-2, -1/3, 0
Let u(o) be the third derivative of o**6/12 - 7*o**5/30 + o**4/6 - 93*o**2 - o. Factor u(w).
2*w*(w - 1)*(5*w - 2)
Factor -7/8*b**4 - 5/2*b**2 + 0 - 1/8*b**5 - b - 9/4*b**3.
-b*(b + 1)*(b + 2)**3/8
Let m(y) = -16*y**2 - 1901*y + 478. Let w(h) = 17*h**2 + 1903*h - 479. Let p(q) = 5*m(q) + 4*w(q). Factor p(n).
-3*(n + 158)*(4*n - 1)
Suppose -5*t + 4*t = -4. Suppose -t = -i - 1. Determine f, given that 3*f**2 + 3 - 2 - 6*f**3 - 3*f + 5*f**i = 0.
1
Let d = -12/1831 - -29404/16479. Let d - 2/9*o**3 - 8/9*o**4 + 28/9*o**2 - 2/9*o**5 + 40/9*o = 0. Calculate o.
-2, -1, 2
Let f(v) be the first derivative of -5/7*v**3 + 0*v - 13 - 3/28*v**4 + 0*v**2. Solve f(q) = 0.
-5, 0
Let 0 + 20/7*r**2 - 6/7*r - 8/7*r**4 + 18/7*r**3 = 0. Calculate r.
-1, 0, 1/4, 3
Suppose 2 - 8 = -3*a. Suppose -3*s = a*k - 5 - 31, 2*k - 3*s = 36. Factor -k*r**2 - 2*r**5 - 30*r**4 - 36*r**3 - 3*r - 7*r**5 - 3*r + 3*r.
-3*r*(r + 1)**3*(3*r + 1)
Let h = 7/1975 + 1926/13825. Factor -5/7*f + h*f**2 + 0.
f*(f - 5)/7
Solve -38/13*y - 28/13 - 8/13*y**2 + 2/13*y**3 = 0 for y.
-2, -1, 7
Let f(p) = p**2 - p + 1. Let y be 168/60*-5*1. Let v be (-4)/y - 190/(-70). Let w(r) = -r**3 + 4*r**2 - 2*r + 2. Let c(z) = v*f(z) - w(z). Factor c(d).
(d - 1)**2*(d + 1)
Let o(v) = v**2 + 16*v - 130. Let b be o(-22). Suppose -66/7*h - 2*h**b + 20/7 = 0. What is h?
-5, 2/7
Let t(f) be the first derivative of 6*f**5/35 - 4*f**4/7 - 4*f**3 + 32*f**2/7 + 30*f/7 + 264. Solve t(y) = 0 for y.
-3, -1/3, 1, 5
Suppose 0 = b + 2*l + 10, -b - l = 2*b + 20. Let q be (6/14)/(b/(-42)). Find w such that 0 - 2/5*w**4 - 2/5*w**2 + 4/5*w**q + 0*w = 0.
0, 1
Let j(c) be the third derivative of -c**8/336 + c**7/210 + c**6/8 + 23*c**5/60 + 5*c**4/12 + 332*c**2 - 2*c. Factor j(a).
-a*(a - 5)*(a + 1)**2*(a + 2)
Let l(v) be the second derivative of -5*v + 0 + 0*v**3 + 0*v**2 - 5/12*v**4. Factor l(h).
-5*h**2
Let g(y) = -y**3 + 0*y**3 + 1 + 1 + 5*y**2 + 5*y - y**2. Let s be g(5). Solve 1/4*u**s + 1/4*u**5 + 0 - 1/4*u**4 - 3/4*u**3 + 1/2*u = 0.
-1, 0, 1, 2
Let t(s) = 15*s**2 + 15*s - 9. Let y(x) = 7*x**2 + 8*x - 5. Let l(f) = 5*t(f) - 9*y(f). Factor l(a).
3*a*(4*a + 1)
Let m(n) be the second derivative of -2*n - 1/30*n**5 + 0 + 1/3*n**3 + 0*n**4 + 2*n**2. Let x(f) be the first derivative of m(f). Factor x(w).
-2*(w - 1)*(w + 1)
Let h(x) be the third derivative of -x**8/112 - x**7/70 + x**6/20 + 95*x**2. Factor h(d).
-3*d**3*(d - 1)*(d + 2)
Let x be (-1073)/(-7) + 10/(-25). Let h = x - 723/5. Find t, given that 4/7 - h*t**2 - 8*t**5 - 6/7*t + 62/7*t**3 + 54/7*t**4 = 0.
-1, -2/7, 1/4, 1
Let q(a) = 3*a**4 - 31*a**5 + 3*a - 3*a + 25*a**5. Let l(h) = -11*h**5 + 7*h**4 - h**3. Let r be 1/(2 + -1) - -2. Let s(b) = r*l(b) - 5*q(b). Factor s(j).
-3*j**3*(j - 1)**2
Factor 16/25 - 4/25*v - 2/25*v**2.
-2*(v - 2)*(v + 4)/25
Solve -126426*g**2 - 7*g - g**3 + 126426*g**2 + 2*g**3 - 6 = 0.
-2, -1, 3
Let a be (2*(-3)/12)/((-1)/(-858)). Let i be 2/11 - 65/a. Factor 11/6*o**2 + 7/6*o**4 + i*o + 8/3*o**3 + 0.
o*(o + 1)**2*(7*o + 2)/6
Determine c, given that -516*c - 30*c**2 + 5*c**4 + 4 - 20*c**2 - 4 + 636*c - 15*c**3 = 0.
-3, 0, 2, 4
Factor -a**3 + 1/4*a**5 + 3/4*a - 1/2*a**2 + 1/2 + 0*a**4.
(a - 2)*(a - 1)*(a + 1)**3/4
Let q = -260 - -262. Let h(k) be the first derivative of -2/11*k**q + 1 - 2/33*k**3 - 2/11*k. Factor h(m).
-2*(m + 1)**2/11
Let j = -1370 - -1372. Factor -2/7*o**5 - 36/7*o**3 + 40/7*o**2 + j*o