, 0 = 4*g + 5*j - 21. What is k in 22/15*k**2 - 4/15 + 14/15*k - 6/5*k**g - 14/15*k**3 = 0?
-1, 2/9, 1
Suppose 0 = -30*q - 8 + 68. Factor -54 + l**2 + 24*l + 15*l**2 - 18*l**q.
-2*(l - 9)*(l - 3)
Find j, given that -60/19*j + 2/19*j**2 + 378/19 = 0.
9, 21
Factor -1 - 6/5*u - 1/5*u**2.
-(u + 1)*(u + 5)/5
Suppose 4*i - 12*d - 17 = -7*d, -i - 4*d - 1 = 0. Find y such that -8*y**2 - 11 + 2*y**i - 591*y + 581*y + 11 = 0.
-1, 0, 5
Let k(p) = 16*p**4 + 161*p**3 + 185*p**2 + 42*p - 2. Let t(r) = -162*r**4 - 1611*r**3 - 1851*r**2 - 423*r + 21. Let x(c) = 21*k(c) + 2*t(c). Factor x(w).
3*w*(w + 1)*(w + 12)*(4*w + 1)
Let x(b) be the second derivative of 1/42*b**7 + b + 1/4*b**4 + 0*b**2 + 37 + 0*b**3 + 1/6*b**6 + 7/20*b**5. Factor x(d).
d**2*(d + 1)**2*(d + 3)
Let y = 84578 - 84578. Suppose -r**3 - 5/4*r**2 - 1/4*r**4 - 1/2*r + y = 0. What is r?
-2, -1, 0
Let y = 947956/7 + -135075. Let j = y - 347. Factor -2/7*o**3 - j + 2/7*o**2 + 2/7*o.
-2*(o - 1)**2*(o + 1)/7
Suppose 18 = -4*a - 2*k, 603*a = 607*a - 4*k - 60. Factor -10/3*l**a - 8*l + 0 + 2*l**3.
2*l*(l - 3)*(3*l + 4)/3
Let o be -10 - (-252)/24*4/3. Let v(k) be the second derivative of 1/6*k**o - 4/45*k**6 + 1/3*k**2 + 0 + 5/9*k**3 - 1/6*k**5 + 14*k. What is a in v(a) = 0?
-1, -1/4, 1
Let m be (12/(-42))/((-3)/21). Find s such that 15*s**2 - 15*s**m - s**2 + 6 + 5*s = 0.
-1, 6
Let a(f) be the third derivative of 0 - 42*f**2 - 1/26*f**5 + 4/39*f**3 - f - 1/195*f**6 - 1/13*f**4. Factor a(n).
-2*(n + 2)**2*(4*n - 1)/13
Let n(c) be the third derivative of c**5/30 + 6*c**4 + 432*c**3 - 1337*c**2. Factor n(g).
2*(g + 36)**2
Factor 0 + 9/7*y**3 + 6/7*y**2 - 8*y + 1/7*y**4.
y*(y - 2)*(y + 4)*(y + 7)/7
Let b(v) = v**3 - 140*v**2 + 271*v + 12. Let g be b(2). Factor 20/9 + 14/9*l + 2/9*l**g.
2*(l + 2)*(l + 5)/9
Suppose 0 = -4*u + 55*c - 47, -90*c - 8 = -3*u - 92*c. Factor 2/3*m**u + 16/3 - 6*m.
2*(m - 8)*(m - 1)/3
Let z = -514 + 519. Solve z*h**5 + 609*h**3 - 3*h**5 + 3*h**5 + 15*h**4 - 599*h**3 = 0 for h.
-2, -1, 0
Let h(d) = -8*d**3 + 133*d**2 + 2003*d - 13690. Let c(j) = 10*j**3 - 132*j**2 - 2004*j + 13690. Let w(p) = -5*c(p) - 6*h(p). Factor w(u).
-2*(u - 5)*(u + 37)**2
Let n(j) = -j**2 - 10*j. Let f be n(-7). Suppose 3*x - 6*x = -3*h - f, h = -5*x + 11. Factor -38*g - 2*g**x + 4*g**2 - 15*g**2 - 17 - 11*g**2 - 1.
-2*(g + 1)**2*(g + 9)
Let h(p) be the first derivative of 0*p**4 + 12*p**2 + 28/3*p**3 + 156 - 4/5*p**5 + 0*p. Determine c so that h(c) = 0.
-2, -1, 0, 3
Let d(q) be the second derivative of -q**6/6 + 3*q**5/4 + 15*q**4/2 + 10*q**3/3 - 60*q**2 - 7*q + 95. Determine f, given that d(f) = 0.
-2, 1, 6
Let f(w) = 21*w - 11. Suppose m + 0*a = -4*a + 2, -3*a - 9 = 0. Let u be f(m). Factor -283 - 15*t**2 + u + 10*t - 25*t**3.
-5*t*(t + 1)*(5*t - 2)
Let m be 49/((-39)/52 + (-26)/(-24)). Let q be 3626/m - 0/(1*-2). Solve q*k + 28/3 + 10/3*k**2 = 0 for k.
-7, -2/5
Let t(g) be the second derivative of 0*g**3 + 0 + 18*g + 1/12*g**4 - 8*g**2 + 1/90*g**5. Let p(i) be the first derivative of t(i). Determine o so that p(o) = 0.
-3, 0
Factor 9462757709 + 1889*z**2 - 2530822321 - 4*z**3 + 13291*z**2 + 1165203112 - 19202700*z.
-4*(z - 1265)**3
Suppose -5*g - 56 = -296. Factor -20*v**4 + g*v**2 - 7*v**3 + 38*v - 8*v**3 - 50*v - v**4.
-3*v*(v - 1)*(v + 2)*(7*v - 2)
Find j, given that -1704/11*j**3 + 148/11*j - 70/11*j**2 - 1526/11*j**4 + 0 - 40/11*j**5 = 0.
-37, -1, -2/5, 0, 1/4
Let 0 - 3/4*u**3 + 6*u - 3/2*u**2 = 0. Calculate u.
-4, 0, 2
Suppose 0 = 10*l - 11*l + 2. Factor -139*q**2 + 275*q**l - 19*q - 135*q**2.
q*(q - 19)
Let h = 212714 - 1706451/8. Let c = -547 - h. Find n such that -27/2 + 99/2*n - c*n**2 = 0.
6/11
Factor 2079 - 3/2*p**2 - 135/2*p.
-3*(p - 21)*(p + 66)/2
Factor 1/3*x**4 - 3*x**2 + 4 + 4/3*x + 0*x**3.
(x - 2)**2*(x + 1)*(x + 3)/3
Suppose 0 = 2*k + 4, -3*k = -21*q + 20*q + 11. Let o be (-2)/q - 132/(-165). Solve -o*t**2 + 0*t + 1/5*t**4 + 0 - 1/5*t**3 = 0.
-1, 0, 2
Let b = -459769/4 + 114944. Let 1/4*p**2 + 3/2 + b*p = 0. What is p?
-6, -1
Let v be 756/(-147)*(-2 - -1 - 48). Let k be (-1 + 0 - 0)*(-1638)/v. Let -1/2*z**4 - 2 - 6*z - 3*z**3 - k*z**2 = 0. Calculate z.
-2, -1
Let u = -56789/6 + 9465. Let d(b) be the first derivative of 0*b + 39 + u*b**4 + 0*b**2 + 8/9*b**3. Suppose d(r) = 0. What is r?
-4, 0
Suppose -5*k = -2*l + 20 + 115, -4*l - 2*k + 234 = 0. Suppose 12*x**5 + 49*x**4 + l*x**4 - 34*x**4 - 21*x**2 - 66*x**3 = 0. What is x?
-7, -1/4, 0, 1
Let x = 6 - 6. Let g be 5*(1 - x) + -1*3. Solve -183*b**4 + b**g + 182*b**4 + b**2 - b**3 = 0 for b.
-2, 0, 1
Solve 220*k - 2/9*k**2 - 54450 = 0 for k.
495
Let q(k) be the second derivative of 0 + 1/6*k**3 - 1/6*k**4 - 11*k + 1/20*k**5 + 0*k**2. Factor q(l).
l*(l - 1)**2
Suppose 11*z = -285*z + 11*z + 855. Let m(q) be the first derivative of -10*q**2 - q**4 + 12 + 16/3*q**z + 8*q. Let m(t) = 0. Calculate t.
1, 2
Let q(u) = 13 + 44 + 14 - 7513*u + 7442*u. Let o be q(1). Find r such that o - r + 1/5*r**2 = 0.
0, 5
Let w(d) = -d**2 - d + 1. Suppose -21 = -2*o - 3. Suppose 2*u = -l, 5*u - 12 = l + o. Let g(c) = c**2 + 36*c - 51. Let m(n) = l*w(n) - g(n). Factor m(z).
5*(z - 3)**2
Let t(j) be the first derivative of -8*j**3 + 13 + 3/4*j**4 + 57/2*j**2 - 36*j. Factor t(n).
3*(n - 4)*(n - 3)*(n - 1)
Let t(n) = -762*n - 14475. Let v be t(-19). Solve -99/4*m + 99/4*m**2 - 9/4*m**4 + 15/2 - 21/4*m**v = 0 for m.
-5, 2/3, 1
Let d(m) be the first derivative of -m**7/504 - m**6/108 + m**5/72 + 5*m**4/36 + m**3/3 + 11*m - 60. Let l(a) be the third derivative of d(a). Factor l(v).
-5*(v - 1)*(v + 1)*(v + 2)/3
Factor -2/3*g**2 - 940/3 + 38*g.
-2*(g - 47)*(g - 10)/3
Let t(c) be the first derivative of c**4/22 - 8*c**3/11 + 41*c**2/11 - 84*c/11 - 8376. Factor t(n).
2*(n - 7)*(n - 3)*(n - 2)/11
Let b be 9 - 4 - (1 + 27)/(-1). Let j be (-30)/32*(7 + (-275)/b). Suppose 0*y + 17/4*y**4 - 5*y**5 + j*y**3 + 0 - 1/2*y**2 = 0. Calculate y.
-2/5, 0, 1/4, 1
Let j(f) be the second derivative of f**6/105 - 61*f**5/70 - f**4/14 + 185*f**3/21 - 122*f**2/7 - 135*f + 1. Suppose j(i) = 0. Calculate i.
-2, 1, 61
Let t(b) be the first derivative of 213/4*b**2 - 21*b - 61/2*b**3 + 3/2*b**4 - 105. Find s, given that t(s) = 0.
1/4, 1, 14
Let d = -265440 - -1327266/5. What is h in -6/5*h**2 + 0 - d*h = 0?
-11, 0
Let q(t) be the first derivative of t**4/22 + 152*t**3/11 + 17328*t**2/11 + 877952*t/11 - 688. Factor q(m).
2*(m + 76)**3/11
Let o(j) be the first derivative of 3*j**4/4 + 44*j**3 + 1425*j**2/2 - 1894. Determine a so that o(a) = 0.
-25, -19, 0
Let v be ((5/15)/((-2)/(-6)))/((-21)/(-84)). Let g(r) be the third derivative of -1/40*r**6 + 0 + 3/20*r**5 - 2*r**3 + 0*r**v + 28*r**2 + 0*r. Factor g(u).
-3*(u - 2)**2*(u + 1)
Suppose 0 = 52*i - 164 - 1084. Suppose -38 = 5*q - i*q. Factor -9/4*u - 3 - 3/8*u**q.
-3*(u + 2)*(u + 4)/8
Solve 2/3*a**2 - 1232/3 - 46*a = 0 for a.
-8, 77
Let x(m) be the third derivative of -2*m**7/105 + m**6/2 - 44*m**5/15 - 2*m**2 + 119*m. Suppose x(z) = 0. Calculate z.
0, 4, 11
Let j(q) = 172*q**3 + 948*q**2 + 190*q - 114. Let f(d) = d**3 + 3*d**2 - 3*d - 3. Let n(v) = 46*f(v) - j(v). Find i such that n(i) = 0.
-6, -1/3, -2/21
Let u(d) be the second derivative of 196*d - 1/36*d**4 + 0 + 5/18*d**3 - d**2. Suppose u(t) = 0. What is t?
2, 3
Let n be 44/22*9/2. Let j be 1/n + (-88)/(-504). Factor -j*p**2 - 18/7 + 12/7*p.
-2*(p - 3)**2/7
Let g(r) be the second derivative of r**7/210 + 4*r**6/45 + 7*r**5/10 + 3*r**4 - 61*r**3/6 - 20*r. Let l(a) be the second derivative of g(a). Factor l(x).
4*(x + 2)*(x + 3)**2
Let p = -693821/10 + 138765/2. Factor 9/5*y**3 + 0 - 4/5*y**2 - p*y**4 + 0*y.
-y**2*(y - 4)*(2*y - 1)/5
Let o(s) be the first derivative of s**3/4 - 3429*s**2/8 + 8261. Factor o(w).
3*w*(w - 1143)/4
Let d(h) be the first derivative of 5*h**6/2 - 7*h**5 - 5*h**4/4 + 35*h**3/3 - 5*h**2 - 1642. Suppose d(i) = 0. What is i?
-1, 0, 1/3, 1, 2
Let g(t) be the third derivative of -t**7/350 + 211*t**6/200 - 1491*t**5/10 + 17885*t**4/2 - 34300*t**3 - 75*t**2 - 4*t. Factor g(c).
-3*(c - 70)**3*(c - 1)/5
Suppose -2*u = 5*a - 3*a + 106, -156 = 3*a + 2*u. Let q be (60/a)/(-3)*(-5)/(-1). Suppose 0 - 12/5*v - 3/5*v**q = 0. What is v?
-4, 0
Let -23/8*q**2 - 1361/8*q - 59/2 = 0. Calculate q.
-59, -4/23
Let v(w) be the second derivative of 1/48*w**4 + 0 + 1/80*w**5 + 97*w + 0*w**