 j?
-5, -1
Determine z so that -144*z - 1112/3*z**3 - 32*z**4 + 3*z**5 + 0 - 448*z**2 = 0.
-6, -2/3, 0, 18
Let h(q) = 11*q**2 - 49*q - 12. Let r(p) be the first derivative of -4*p**3 + 24*p**2 + 14*p - 85. Let y(g) = -7*h(g) - 6*r(g). Factor y(z).
-5*z*(z - 11)
Suppose 3*h**2 - 2355137*h - 5*h**2 + 2356349*h + 2432 = 0. Calculate h.
-2, 608
Let g(b) be the first derivative of -2*b**5/5 - b**4/2 + 8*b**3/3 + 4*b**2 + 10369. Factor g(l).
-2*l*(l - 2)*(l + 1)*(l + 2)
Suppose -36 = -n - n. Suppose -6*h - 22 = -166. Factor -6 + 8*m**2 - 2*m**3 - 5*m - h*m - n*m**2 + 15*m.
-2*(m + 1)**2*(m + 3)
Let k(r) be the second derivative of -1/30*r**6 - 39*r + 2 + 0*r**3 + 0*r**5 + 0*r**2 + 0*r**4. Suppose k(f) = 0. What is f?
0
Let v(m) be the second derivative of -1/60*m**6 + 0*m**2 + 1/8*m**4 + 27*m + 0*m**5 + 1/6*m**3 - 1. Find w, given that v(w) = 0.
-1, 0, 2
Let 1724 - 27*x + 1738 - 3501 - 6*x**2 + 0*x + 18*x**2 = 0. What is x?
-1, 13/4
Find m such that -4/7*m**2 + 60/7*m + 0 - 8/7*m**3 = 0.
-3, 0, 5/2
What is r in 492/5*r + 2/5 + 30258/5*r**2 = 0?
-1/123
Let w be (-11)/(99/(-72))*(-9)/2016*-8. Factor -w*x**2 - 32/7*x - 128/7.
-2*(x + 8)**2/7
Let h(z) be the second derivative of 22*z + 1/40*z**6 + 13/2*z**3 - 3/80*z**5 - 9/8*z**4 - 15*z**2 + 0. Factor h(g).
3*(g - 2)**3*(g + 5)/4
Let r(n) be the third derivative of n**6/20 - 7*n**5/6 - 14*n**4/3 + 52*n**3/3 - 1467*n**2. Factor r(o).
2*(o - 13)*(o + 2)*(3*o - 2)
Suppose -44*d + 2880 = 16*d. Suppose 45*r - 96*r = -d*r. Solve -15/7*s - 3/7*s**4 - 33/7*s**2 - 3*s**3 + r = 0.
-5, -1, 0
Let z = 2070811/1840728 + 1/230091. Factor -3/8*q**4 + 0 + z*q + 3/8*q**3 + 15/8*q**2.
-3*q*(q - 3)*(q + 1)**2/8
Let c(u) be the first derivative of u**4/12 + 113*u**3/9 + 1045*u**2/2 - 1083*u - 930. Solve c(w) = 0.
-57, 1
Suppose 116*g + 4*v + 6 = 105*g, -5*v = 2*g + 31. Factor 0 + 2/5*z**g - 6/5*z.
2*z*(z - 3)/5
Let g = -42510 - -212568/5. Factor 3/5*o**3 + 0 + 0*o + g*o**2.
3*o**2*(o + 6)/5
Suppose 2*i = -3*a - 8, -3*i + 2*a + 0 + 14 = 0. Factor 64/3*z**4 - 16/3*z**3 - 12*z**i - 11/3*z - 1/3.
(z - 1)*(4*z + 1)**3/3
Let j(l) be the first derivative of l**6/36 - 17*l**5/30 - l**4/12 + 17*l**3/9 + l**2/12 - 17*l/6 + 11664. Solve j(m) = 0 for m.
-1, 1, 17
Let y(b) be the first derivative of -2*b**6/3 - 32*b**5 + 112*b**4 + 50176*b**3/3 - 4534. Determine u, given that y(u) = 0.
-28, 0, 16
Factor 0 + 1/8*r**4 - 51/8*r - 101/8*r**2 - 49/8*r**3.
r*(r - 51)*(r + 1)**2/8
Let y(s) be the second derivative of 19/6*s**3 + 0 - 124*s - 1/20*s**5 + 1/3*s**4 + 7*s**2. Find l such that y(l) = 0.
-2, -1, 7
Let k(s) = -67*s + 137. Let r be k(2). Let z be (r + 0)*(-2)/(-9). Factor 0 + 16/3*l + z*l**2.
2*l*(l + 8)/3
Let z be (-10)/(-4)*(-3940)/(-34475). Suppose 6/7 + z*c**4 - 8/7*c**2 + 4/7*c - 4/7*c**3 = 0. Calculate c.
-1, 1, 3
Let l(g) be the third derivative of -g**5/270 - 52*g**4/27 - 10816*g**3/27 + 11*g**2 - 2*g. Determine d, given that l(d) = 0.
-104
Let w(l) = 2*l**2 + 3*l + 8. Let v be w(0). Let a be -18*((-87)/(-234) - 4/v). Factor -a*n - 18/13*n**2 + 50/13 - 2/13*n**3.
-2*(n - 1)*(n + 5)**2/13
Let x(h) = -h**3 + 45*h**2 + 74*h - 40. Let j be x(46). Let r be j/80*3/((-18)/(-4)). Find y, given that -52/5*y**3 - 68/5*y**2 + 12*y**4 + r*y + 8/5 = 0.
-1, -2/15, 1
Let p(v) be the first derivative of -v**5/5 + 7*v**4/4 + 16*v**3/3 - 26*v**2 - 96*v - 1108. Find r, given that p(r) = 0.
-2, 3, 8
Let z = 6539/15485 + -1/815. Let n(x) = -x**2 - 182*x + 3385. Let u be n(17). Solve z*r + 58/19*r**3 + 42/19*r**4 + 0 - 48/19*r**u = 0 for r.
-2, 0, 2/7, 1/3
Let j(c) be the second derivative of -1/30*c**5 + 0 - 1/180*c**6 + 0*c**2 + 0*c**4 - 19/6*c**3 + 8*c. Let z(n) be the second derivative of j(n). Factor z(b).
-2*b*(b + 2)
Let w(l) be the third derivative of -l**7/70 + 163*l**6/8 - 221949*l**5/20 + 20343157*l**4/8 - 19902511*l**3 + l**2 - 4948*l. Let w(i) = 0. Calculate i.
2, 271
Let l = -60 + 65. Factor -20*p**3 + 6*p + l*p**2 - 34*p + 31*p**2 + 8 + 4*p**4.
4*(p - 2)*(p - 1)**3
Let p(d) = -d**3 + d**2 - d - 7. Let z(o) = o**3 - 131*o**2 - 609*o - 813. Let b(y) = -6*p(y) - z(y). Factor b(l).
5*(l + 3)**2*(l + 19)
Let i(p) = 12*p**2 - 7*p + 207. Let z(b) = -13*b**2 - 23*b - 206. Let g(a) = -4*i(a) - 3*z(a). Factor g(x).
-(x - 3)*(9*x - 70)
Let d(b) be the second derivative of -7/6*b**3 - 137*b + 1/10*b**5 - 11/12*b**4 + 3*b**2 + 0. Factor d(m).
(m - 6)*(m + 1)*(2*m - 1)
Let h(z) be the third derivative of z**5/510 + 73*z**4/102 - 296*z**3/51 - 2*z**2 + 731*z. Factor h(d).
2*(d - 2)*(d + 148)/17
Let i(n) be the third derivative of -n**7/525 + n**6/5 + 63*n**5/50 + 3485*n**2. Factor i(c).
-2*c**2*(c - 63)*(c + 3)/5
Factor -v**2 - 120*v - 51 + 8 - 73 - 45 - 75.
-(v + 2)*(v + 118)
Let p(a) be the second derivative of a**7/21 - 41*a**6/15 - 43*a**5/5 - a**4/3 + 85*a**3/3 + 43*a**2 - 5324*a. Suppose p(d) = 0. What is d?
-1, 1, 43
Let w be ((-1704)/(-710))/(4/5). Let o(h) be the first derivative of -3/7*h**4 + 0*h**w - 3/7*h - 14 + 9/14*h**2. What is l in o(l) = 0?
-1, 1/2
Let m = 381 + -381. Let q(v) be the third derivative of 6*v**2 + 1/120*v**5 + 0*v**4 + 0*v + m + 1/480*v**6 + 0*v**3. Solve q(i) = 0 for i.
-2, 0
Let g = -1147 + 1144. Let m be g*((-2350)/210 - -11). Solve -8/7*u + 4/7 + m*u**2 = 0.
1
Let r be -4 + (12/(-36))/(39/20 + -2). Let v(u) be the first derivative of -5/3*u**2 - r*u - 17 - 2/9*u**3. Factor v(t).
-2*(t + 1)*(t + 4)/3
Suppose -1/2*j**5 + 80*j**2 - 11/2*j**4 + 128 + 208*j - 5*j**3 = 0. Calculate j.
-8, -4, -2, -1, 4
Suppose 3*f - 4*h + 9 = 2*f, 4*f - 2*h = 6. Let r(d) be the first derivative of -3/4*d**4 + 36 + 3/5*d**2 + 3/5*d**f + 0*d. Factor r(u).
-3*u*(u - 1)*(5*u + 2)/5
Let g(b) be the second derivative of b**4/16 - 325*b**3/2 + 316875*b**2/2 - 678*b. Solve g(s) = 0 for s.
650
Let v(a) = 10*a**2 - a + 2. Let z(t) = -21*t**2 + 3*t - 4. Let j(k) = -14*v(k) - 6*z(k). Let m(n) = -3*n**2 + n - 1. Let o(p) = j(p) - 4*m(p). Factor o(g).
-2*g*(g + 4)
Let d(a) = -15*a**3 + 624*a**2 - 1233*a + 636. Let z(o) = -12*o**3 + 624*o**2 - 1237*o + 635. Let b(k) = -5*d(k) + 6*z(k). Factor b(g).
3*(g - 1)**2*(g + 210)
Find c such that -82*c - 312*c + 3*c**2 - 381 + 16*c = 0.
-1, 127
Suppose -39*d = -44*d - 5, 4*r = -3*d + 5. Let i(y) be the second derivative of 1/10*y**5 + 35/3*y**3 + 11/6*y**4 + 0 + 25*y**r - 34*y. Factor i(n).
2*(n + 1)*(n + 5)**2
Let r(h) be the second derivative of -7*h**4/30 - h**3/15 + 6*h**2 + 469*h. Determine z, given that r(z) = 0.
-15/7, 2
Let 37*w - 1/3*w**3 - 54 + 52/3*w**2 = 0. What is w?
-3, 1, 54
Suppose 50 = -5*f + 3*s, -4*s - 199 = 2*f - 283. Solve -1/3*j**3 - 6 - 8/3*j**f - 7*j = 0 for j.
-3, -2
Let w(u) be the third derivative of -u**8/110880 + u**7/660 - 49*u**6/440 - 2*u**5/5 + 43*u**2 + 2*u. Let c(p) be the third derivative of w(p). Factor c(h).
-2*(h - 21)**2/11
Suppose 0 = 856*u - 2260 + 548. Find x, given that -92/3*x**u + 0 - 1058/3*x - 2/3*x**3 = 0.
-23, 0
Let l = 716137/2 - 358067. Factor -3/2*b + 1/2*b**2 + l*b**3 - 1 + 1/2*b**4.
(b - 1)*(b + 1)**2*(b + 2)/2
Let z(k) = -24*k**2 + 336*k - 9. Let m(p) = -5*p**2 + 84*p - 2. Let y(c) = 9*m(c) - 2*z(c). Let y(n) = 0. What is n?
-28, 0
Let i(w) be the third derivative of 0*w + 0 + 55*w**2 - 1/12*w**5 - 5/6*w**4 + 1/6*w**6 + 0*w**3 + 1/42*w**7. Solve i(k) = 0 for k.
-4, -1, 0, 1
Let b(t) be the second derivative of t**6/15 - 47*t**5/10 + 124*t**4 - 4928*t**3/3 + 11776*t**2 + 24*t - 47. Factor b(n).
2*(n - 23)*(n - 8)**3
Let r be (24*(-144)/810)/(4/(-10)). Let k(p) be the second derivative of 0 + r*p**2 - p**4 + 11/60*p**5 - 1/90*p**6 + 11*p + 8/9*p**3. What is x in k(x) = 0?
-1, 4
Let y(l) be the second derivative of 7*l**3 - 2*l + 1/4*l**4 + 39/2*l**2 - 72. Determine p, given that y(p) = 0.
-13, -1
Let m be 5*((-13)/(-11) + 10/(-55)). Let -m*r**5 - 43*r - 47*r + 90*r - 15*r**3 - 15*r**4 - 5*r**2 = 0. Calculate r.
-1, 0
Suppose -3*q = -5*s - 15 - 1, 3*q = -2*s + 2. Suppose -55 = -2*d - 3*p, 2*d - 2*p - 2*p - 48 = 0. Factor 12 - 23*l**2 - 36 - d*l - 20*l**q + 41*l**2.
-2*(l + 1)*(l + 12)
Let 4*x**2 + 14340588 + 136*x - 14340588 = 0. Calculate x.
-34, 0
Let j(h) be the third derivative of 1/22*h**3 + 17/132*h**4 + 0*h - h**2 + 1/60*h**5 + 0. Factor j(p).
(p + 3)*(11*p + 1)/11
Suppose -410*z + 281 = -949. Let q(g) be the third derivative of 0*g**z + 18*g**2