or c(j).
(j - 5)*(j - 1)**3/2
Suppose 0 = -2*s + 5*s - 6. Find a, given that 0*a**3 + 2*a**3 + 2*a**2 - s*a**4 - 189*a**5 + 187*a**5 = 0.
-1, 0, 1
Let c be ((-4)/8*-6 + -27)*-1. Let g be 26/c - (35/20 + -2). Let 10/3*q**2 + g*q**3 + 4/3*q + 0 = 0. Calculate q.
-2, -1/2, 0
Let s = 2 - -8. Factor 0*o**4 - 9*o**3 - 7*o**4 + 6*o**2 + s*o**4.
3*o**2*(o - 2)*(o - 1)
Let o(b) be the third derivative of b**8/336 + 4*b**7/525 - 79*b**6/600 - 13*b**5/30 - 2*b**4/15 + 16*b**3/15 + 22*b**2 + 2*b. Find u, given that o(u) = 0.
-4, -1, 2/5, 4
Let g be (108 - 108)/(-4 + 2). Factor -3/8*a**2 + g - 3/2*a.
-3*a*(a + 4)/8
Let s(b) be the second derivative of b**5/4 - 5*b**4/3 - 25*b**3/6 + b - 32. Find j, given that s(j) = 0.
-1, 0, 5
Let j(s) be the third derivative of s**9/12096 - s**7/336 + s**6/72 - 3*s**5/10 - 31*s**2. Let d(c) be the third derivative of j(c). Factor d(v).
5*(v - 1)**2*(v + 2)
Let o(h) = 7*h**3 + 27*h**2 + 36*h + 20. Let v(s) = -15*s**3 - 55*s**2 - 70*s - 40. Let b(x) = 5*o(x) + 2*v(x). Factor b(l).
5*(l + 1)*(l + 2)**2
Let y be -2*21*(-14)/42. Factor 3*w**3 + 2*w**4 - y*w**4 - 6*w**3.
-3*w**3*(4*w + 1)
Let g(c) be the second derivative of -1/48*c**6 + 1/48*c**3 + 0 - 3/160*c**5 + 0*c**2 - 1/168*c**7 + 1/96*c**4 - 4*c. What is a in g(a) = 0?
-1, 0, 1/2
Let u(p) be the third derivative of 5/24*p**4 + 0 + 1/12*p**5 + 0*p**3 + 0*p - 29*p**2. Factor u(x).
5*x*(x + 1)
Let n be 3560/300 - 2/(-15). Determine t, given that -14 + 3*t - 38 + 7*t + n + 5*t**2 = 0.
-4, 2
Let r(p) be the first derivative of p**6/30 - p**5/15 - 5*p**4/6 - 2*p**3 + 13*p**2 - 24. Let o(q) be the second derivative of r(q). Solve o(g) = 0 for g.
-1, 3
Let w(g) be the first derivative of g**4/5 - 4*g**3/3 + 4*g**2/5 + 32*g/5 + 42. Factor w(t).
4*(t - 4)*(t - 2)*(t + 1)/5
Let x be ((-6)/387)/((-10)/60). Let k = x + 31/129. Factor 0 + 1/9*d**3 + 2/9*d + k*d**2.
d*(d + 1)*(d + 2)/9
Factor 18*h**4 + 18*h**4 + 57*h**2 - 52*h**4 - 84*h + 19*h**4 + 45*h**3 - 21*h**2.
3*h*(h - 1)*(h + 2)*(h + 14)
Suppose n - 22 = -4. Let g = 22 - n. Factor -32*f**2 + 16 + 13*f**g - 48*f + 13*f**4 - 19*f**4 + 12*f**3.
(f - 2)*(f + 2)**2*(7*f - 2)
Let t(n) = -3*n**3 - 6*n**2 - 7. Let g be t(-3). Suppose 4*s = -s + g. Let 176/9*u**s + 49/3*u**2 - 29/9*u + 2/9 - 296/9*u**3 = 0. What is u?
2/11, 1/4, 1
Let s = -13 - -21. Let u be 167/13 + -3*(-2)/39. Factor -3*j + 9*j - 2*j**3 - u + 1 + s.
-2*(j - 1)**2*(j + 2)
Let v = -27 + 29. Solve 6*i**v - 13*i + 24*i + 2*i**3 - 19*i = 0 for i.
-4, 0, 1
Let d = 5/122 - -77/1098. Factor d*p**2 - 2/3*p + 1.
(p - 3)**2/9
Let y(i) be the first derivative of i**4/12 - i**3/3 - 8*i**2/3 - 4*i + 77. Determine f, given that y(f) = 0.
-2, -1, 6
Let h(x) = 7*x**3 + 482*x**2 + 26242*x + 472392. Let m(u) = 9*u**3 + 480*u**2 + 26241*u + 472392. Let v(y) = -3*h(y) + 2*m(y). Factor v(c).
-3*(c + 54)**3
Let k(s) be the second derivative of 7/48*s**4 - 11*s - 1/12*s**3 + 0*s**2 + 1/60*s**6 + 0 - 7/80*s**5. Determine i so that k(i) = 0.
0, 1/2, 1, 2
Suppose 201 = 9*z + 39. Let t(g) = -g**5 + g**4 - g - 1. Let m(v) = -10*v**5 + 4*v**4 - 3*v**3 + 9*v**2 - 9*v - 9. Let p(n) = z*t(n) - 2*m(n). Solve p(c) = 0.
-3, 0, 1
Let y(w) be the first derivative of w**5/10 + 9*w**4/8 - 5*w**3/3 + 314. Factor y(p).
p**2*(p - 1)*(p + 10)/2
Determine c, given that 90/7 + 2/7*c**2 - 36/7*c = 0.
3, 15
Suppose -4*c - 528 = -4*f, f + 5*c - 4*c - 140 = 0. Factor 394 - 8*h**3 + 38 + 36*h**2 + 80*h + f*h + 10*h**3.
2*(h + 6)**3
Let r be (-30)/4*27/18*(-3)/45. Solve -7/4*g**2 + 0 - r*g - 1/2*g**3 = 0 for g.
-3, -1/2, 0
Suppose 2*l - 35 = 5*u, -10 = -3*l - 0*l - u. Let 4*v**4 + 16/5*v**2 + 0 - 14/15*v**l - 8/15*v - 86/15*v**3 = 0. What is v?
0, 2/7, 1, 2
Let v = 4895/6 + -34259/42. Let 0 - v*y**2 - 3/7*y = 0. Calculate y.
-3, 0
Let d(s) be the second derivative of s**6/20 - 3*s**5/4 + 2*s**4 - 172*s - 1. Factor d(l).
3*l**2*(l - 8)*(l - 2)/2
Let a(v) = -v**3 - 10*v**2 - 6*v + 29. Let l be a(-9). Factor 77 + 16*o - 41 - 44 + 0*o**3 - 10*o**l + 2*o**3.
2*(o - 2)**2*(o - 1)
Let j be (154/(-385))/((-5)/((-100)/(-6))). Find g such that 4/3*g**3 + 2/3 - j*g + 0*g**2 - 2/3*g**4 = 0.
-1, 1
Let z(x) be the first derivative of x**4/18 + 11*x**3/27 + 2*x**2/3 + 39*x - 24. Let y(r) be the first derivative of z(r). Factor y(o).
2*(o + 3)*(3*o + 2)/9
Let k(s) be the first derivative of -5*s**6/288 + s**5/16 - 3*s**4/32 - 14*s**3/3 + 14. Let u(l) be the third derivative of k(l). Factor u(x).
-(5*x - 3)**2/4
Let k(f) be the second derivative of 5/12*f**4 + 10/3*f**3 + 10*f**2 - 2*f + 0. Solve k(c) = 0 for c.
-2
Let p(b) = 5*b + 42. Let r be p(-12). Let a be r/(((-51)/3 + 4)*1). Let 4/13 - 24/13*d**3 + 2/13*d**2 + a*d = 0. Calculate d.
-2/3, -1/4, 1
Let p(l) = -12*l**2 + 11*l + 12. Let g be p(4). Let a = g + 410/3. Factor -a*w + 2/3*w**3 + 4/3 + 2/3*w**4 - 2*w**2.
2*(w - 1)**2*(w + 1)*(w + 2)/3
Let c be ((-12)/(-20) - (-201)/15)/1. Suppose 3*t - c = -8. Factor 0 - 1/3*j + 1/3*j**t.
j*(j - 1)/3
Suppose 3*f + x - 14 = 0, 8*f - 34 = 3*f + x. Suppose -f*t + 60 = 24*t. Solve 18/11*c**t + 0 - 42/11*c**5 + 6/11*c**3 - 58/11*c**4 - 4/11*c = 0.
-1, 0, 2/7, 1/3
Let n be (-4)/10 + (13 - (-106)/(-10)). Let j(f) be the first derivative of 0*f**n - 1/2*f**4 - 1/3*f**3 + 0*f - 1/5*f**5 + 5. Suppose j(t) = 0. What is t?
-1, 0
What is v in -110/3*v + 56/3 - 4/3*v**2 = 0?
-28, 1/2
Let z = -21 + 21. Let s be (4 + z + 26)*2/9. Solve s*v - 4*v**2 - 4/3*v**3 - 8/3 + 4/3*v**4 = 0 for v.
-2, 1
Let q(i) = -i**3 - 2*i**2 + i + 8. Let u be q(0). Factor 136*l**2 + u*l - 2*l**3 - 4*l**3 - 152*l**2 + 18*l**4.
2*l*(l + 1)*(3*l - 2)**2
Let b be 28/8*24/14. Let j be (-6)/(-1)*b/12. Factor -2*h + 2 + 2*h**j - 4*h - h**3 + 3*h.
(h - 1)**2*(h + 2)
Factor 120*c - 51/4*c**2 + 3/8*c**3 - 192.
3*(c - 16)**2*(c - 2)/8
Let x(w) be the second derivative of 5*w**7/42 - w**6/6 - 7*w**5/2 - 65*w**4/6 - 95*w**3/6 - 25*w**2/2 - 189*w. Find f such that x(f) = 0.
-1, 5
Let g be 3/(36/15)*12/3150. Let c(a) be the third derivative of 10*a**2 + 3/7*a**3 + 0*a + g*a**5 + 0 - 1/14*a**4. Factor c(m).
2*(m - 3)**2/7
Factor 24 - 52*c + 482*c**2 + 6*c - 486*c**2.
-2*(c + 12)*(2*c - 1)
Let r(c) = 2*c**2 - 19*c + 13. Let b be r(9). Suppose 3*q = -5*n + 17, 0*n + b*q + 20 = 4*n. Factor 2 + 16*u**5 - 2 - n*u**5 + 16*u**3 - 28*u**4.
4*u**3*(u - 1)*(3*u - 4)
Let p(t) be the second derivative of t**7/210 + t**6/9 + 2*t**5/5 - 12*t**4 + 11*t**3/6 + 5*t. Let r(c) be the second derivative of p(c). Factor r(m).
4*(m - 2)*(m + 6)**2
Let h = -163 + 148. Let o be 1/(h/9) - (-6)/6. Determine m so that -6/5*m - 2/5 - 6/5*m**2 - o*m**3 = 0.
-1
Let x(f) be the second derivative of -f**5/10 + 4*f**4/9 + 4*f**3/9 + 3*f**2/2 - 8*f. Let c(g) be the first derivative of x(g). Factor c(b).
-2*(b - 2)*(9*b + 2)/3
Let o(n) be the second derivative of 3*n**5/20 + n**4/2 - 13*n**3/2 + 15*n**2 + 64*n. Factor o(z).
3*(z - 2)*(z - 1)*(z + 5)
Let w(a) be the third derivative of -7*a**2 + 1/15*a**6 + 0*a**4 - 2/105*a**7 + 0*a**3 + 0 - 1/15*a**5 + 0*a. Let w(v) = 0. What is v?
0, 1
Let n be (((-72)/(-189))/(-8))/(1/(-12)). Determine c, given that 12/7*c**2 - 4/7*c - 8/7 + n*c**3 - 4/7*c**4 = 0.
-1, 1, 2
Let y(q) be the second derivative of -q**8/336 + q**7/630 + q**6/135 - q**5/135 + 4*q**2 - 12*q. Let w(k) be the first derivative of y(k). Factor w(c).
-c**2*(c + 1)*(3*c - 2)**2/9
Suppose -5*z + 3*z = -6. Factor -4*r**z + r**4 - 8*r + 8*r - 8*r + 9*r**4 - 30*r**2 + 8.
2*(r - 2)*(r + 1)**2*(5*r - 2)
Let h be 3 - -6*2512/(-4956). Let f = 6/59 - h. Factor -1/7 + 2/7*b - f*b**2.
-(b - 1)**2/7
Let q be 4*1 + 0/(-11). Suppose 0*h = -q*h - s, 0 = s. Suppose 3*v**4 + 3/2*v**3 + h - 3*v**2 - 3/2*v**5 + 0*v = 0. Calculate v.
-1, 0, 1, 2
Let s(u) be the first derivative of 0*u**3 - 1/4*u**4 + 15 + 0*u**2 + 0*u + 1/6*u**6 + 0*u**5. Find g such that s(g) = 0.
-1, 0, 1
Let j(n) be the second derivative of n**5/150 - 7*n**4/45 + 4*n**3/3 - 24*n**2/5 + 39*n. Factor j(h).
2*(h - 6)**2*(h - 2)/15
Let t = -88 - -90. Suppose 2 = -2*i + 4*b, 0 = -i + t*b - 4*b + 7. Let -8/3 - 22*p**2 + 25/3*p**4 - 5/3*p**i - 44/3*p = 0. What is p?
-1, -2/5, 2
Let i(u) be the first derivative of u**4/4 + 2*u**3/3 - u**2/2 + 7. Let m be i(-2). Factor -2 + k**3 + 4 - 4 - 2*k**2 + 5*k - 2*k**m.
(k - 2)*(k - 1)**2
Let w = 9 - 7. Let -17*o**4 - w*o - 1 + 4*o**2