*j**4 + 0 + 25*j + 0*j**2. Let p(q) = 0. What is q?
-5, 0, 2/7
Determine y so that -87/2*y**3 - 621/4*y - 105/2 + 9/2*y**4 - 150*y**2 + 3/4*y**5 = 0.
-10, -1, 7
Let j = 28135 - 28133. Solve -20*k**j + 0*k**3 + 5/2*k**4 + 0*k + 40 = 0.
-2, 2
Let m(n) be the third derivative of -648*n**3 - 1/20*n**5 + 90*n**2 + 0*n + 0 - 9*n**4. What is r in m(r) = 0?
-36
Suppose 2419*u**2 - 4824*u**2 + 2420*u**2 - 5*u**3 - 15*u**4 - u**5 + 10*u - 4*u**5 = 0. Calculate u.
-2, -1, 0, 1
Let v(k) be the second derivative of -k**4/9 - 152*k**3/9 - 1178*k. Factor v(q).
-4*q*(q + 76)/3
Let p(h) = -14 + 3*h**2 + h - 4*h**2 - 9*h + 0*h. Let d be p(-4). Determine r so that -12 + d + 12*r + 2 - 4*r**2 = 0.
1, 2
Let m(i) = i**2 - 1. Let x(r) = r**2 - 24 + r**2 + 32*r + 5*r**2 - 15*r**2. Let l(h) = -4*m(h) - x(h). Factor l(b).
4*(b - 7)*(b - 1)
Suppose 3*m - 4*x - 26 = 0, m + 4*x = 6*x + 8. Solve d**2 + 620 + 3*d**4 - 638 + 9*d**3 - 33*d - m*d**2 = 0 for d.
-3, -1, 2
Let j(d) be the second derivative of -3*d**7/70 - 1319*d**6/50 + 9267*d**5/100 - 2209*d**4/20 + 221*d**3/5 - 7646*d. Solve j(r) = 0.
-442, 0, 1/3, 1
Let d be ((-142)/2485)/(-3 + (234/(-30))/(-3)). Determine r so that 128/7 + 19*r**3 + 20/7*r**4 + d*r**5 + 338/7*r**2 + 352/7*r = 0.
-8, -2, -1
Let c(t) = -21*t + 10. Let j be c(0). Find s, given that -j*s**4 - 55*s**2 + 10 - 17 - 2*s**4 - 1 - 65*s**3 + 50*s = 0.
-4, -2, 1/4, 1/3
Let v(q) = -805*q + 2417. Let y be v(3). Let u(l) be the third derivative of 1/12*l**4 + 0*l - 1/300*l**5 - 18*l**y + 0 - 3/10*l**3. Factor u(h).
-(h - 9)*(h - 1)/5
Suppose -5*t + 5*i + 1670 = 0, -t - 5*i + 501 - 185 = 0. Factor 3 - 335*d + d**2 - 1 + t*d + 1.
(d - 3)*(d - 1)
Factor -20*b**5 - 504977408*b + 889166720*b**2 + 61208*b**4 - 12754568*b**3 - 3*b**5 - 67*b**5 - 8*b**5 + 0*b**5 + 71991296.
-2*(b - 208)**3*(7*b - 2)**2
Let h(z) be the third derivative of -17*z**8/504 - 7*z**7/45 - 7*z**6/45 + 2*z**5/45 + 24*z**2 + 46*z + 2. Solve h(a) = 0 for a.
-2, -1, 0, 2/17
Let m(g) = -21*g**2 - 516*g - 1461. Let t(y) = -24*y**2 - 516*y - 1485. Let d(w) = -3*m(w) + 2*t(w). Factor d(x).
3*(x + 3)*(5*x + 157)
Let p(m) be the second derivative of -m**6/75 + 29*m**5/50 + 16*m**4/5 + 4*m**3/15 - 128*m**2/5 - 942*m. Suppose p(i) = 0. What is i?
-2, 1, 32
Let h(u) = 10*u**4 - 444*u**3 - 1308*u**2 - 1313*u - 438. Let o(f) = -17*f**4 + 885*f**3 + 2617*f**2 + 2626*f + 876. Let z(r) = 5*h(r) + 3*o(r). Factor z(w).
-(w - 438)*(w + 1)**3
Let d(h) be the second derivative of -h**4/36 + 19*h**3/9 + 41*h**2/2 + 2738*h. Factor d(u).
-(u - 41)*(u + 3)/3
Let v(m) = -9*m**3 - 2*m**2 - 8*m - 5. Let w(u) = -28*u**3 - 4*u**2 - 24*u - 16. Let f be ((-1)/(16/40))/((-1)/(-2)). Let r(z) = f*w(z) + 16*v(z). Factor r(a).
-4*a*(a + 1)*(a + 2)
Let u(r) be the third derivative of 133/60*r**5 - 3/40*r**6 + 0 - r**2 + 29/4*r**4 - 200*r + 16/3*r**3. Find t, given that u(t) = 0.
-1, -2/9, 16
Let x = -643244/3 - -214416. Find i, given that -x + 14/9*i - 2/9*i**2 = 0.
1, 6
Factor -33/2*x**2 - 112*x - 96 - 1/2*x**3.
-(x + 1)*(x + 8)*(x + 24)/2
Let s(w) = -w**2 + w + 3. Let k be s(0). Suppose 38*j = 39*j - k. Factor 5*y**5 + 2 + 0*y + y**5 + 16*y**2 + 6*y**4 + 9*y + 14*y**j - 5*y**5.
(y + 1)**4*(y + 2)
Let a = -403348/45 + 44977/5. Determine f so that -a + 1/9*f**3 + 11/3*f**2 + 85/3*f = 0.
-17, 1
Let g(x) be the third derivative of -x**5/140 - 15*x**4/56 - 13*x**3/7 - 3*x**2 + 282. Factor g(t).
-3*(t + 2)*(t + 13)/7
Let c be -7*(-1)/6 - 66/(-440)*(-7368)/(-108). Factor -c*j - 33/5*j**2 - 27/5 - 3/5*j**3.
-3*(j + 1)**2*(j + 9)/5
Suppose 0 = -7*v - 119 + 140. Let 17*l**2 - 3*l**4 + 1090*l**v - 19*l - 1091*l**3 - 3 + 9 = 0. Calculate l.
-3, 2/3, 1
Solve -2028/5*x**2 + 0 + 9/5*x**3 + 135*x = 0.
0, 1/3, 225
Suppose 8*f - 23 = -2*m + 5*f, 0 = 2*m + f - 13. Let 14*l**3 + 20*l**3 + m*l**2 - 15*l**4 - 23*l**4 = 0. What is l?
-2/19, 0, 1
Find n, given that 104*n + 55*n**3 - 2248*n**2 + 5*n**4 + 2408*n**2 + 36*n = 0.
-7, -2, 0
Let q(r) be the second derivative of r**5/2 - 71*r**4/6 + 224*r**3/3 - 204*r**2 - 3*r + 1. Factor q(g).
2*(g - 2)**2*(5*g - 51)
Let y(f) be the first derivative of -10*f**6/3 + 52*f**5 - 425*f**4/4 - 190*f**3/3 + 265*f**2/2 + 110*f + 6718. Find i, given that y(i) = 0.
-1/2, 1, 2, 11
Let r(m) be the second derivative of m**8/1344 + 2*m**7/63 + 4*m**6/9 + 29*m**4/6 - 22*m. Let n(b) be the third derivative of r(b). Find p such that n(p) = 0.
-8, 0
Let j(d) be the first derivative of -d**5/5 + 9*d**3 + 27*d**2 + 748. Solve j(p) = 0 for p.
-3, 0, 6
Let q(d) be the second derivative of -5*d**6/18 - 13*d**5/6 - 25*d**4/36 - 4*d + 36. Factor q(t).
-5*t**2*(t + 5)*(5*t + 1)/3
Suppose -6*h + 86*h - 282 = -61*h. Let o(j) be the second derivative of 6*j**h - 8*j + 0 + 1/4*j**4 + 5/2*j**3. Determine i, given that o(i) = 0.
-4, -1
Let u be (2 + -1)*0/(1 - 6). Suppose u = 18*s - 16*s - 104. Solve 12*b**5 + 8*b**2 + 0*b**5 + 28*b**4 - s*b**3 + 8*b**5 + 16 + 32*b - 52*b**2 = 0 for b.
-2, -1, -2/5, 1
Let p be (-3)/((60/97)/3). Let t = p - -63/4. Factor -4/5*w - 2/5*w**3 + 0 + t*w**2.
-2*w*(w - 2)*(w - 1)/5
Factor 3*t**2 + 290 + 25 - 18*t + 2*t**2 + 98*t.
5*(t + 7)*(t + 9)
Let l be ((-1)/11 + (-27)/(24948/609))/((-10)/48). Let -32/5*t**5 + 132/5*t**2 + 0 - l*t - 194/5*t**3 - 176/5*t**4 = 0. What is t?
-3, 0, 1/4
Let y(u) be the third derivative of -1 + 1/84*u**4 + 21*u**2 + 0*u + 0*u**3 - 1/210*u**5. Factor y(o).
-2*o*(o - 1)/7
Let c(x) be the first derivative of 81 + 5/3*x**3 - 10*x**2 + 20*x. Factor c(g).
5*(g - 2)**2
Let r = -1/12926 + 51709/64630. Factor -84/5*w - 88/5 + r*w**2.
4*(w - 22)*(w + 1)/5
Let k(v) be the first derivative of 54*v**5/25 + 20682*v**4/5 + 55104*v**3/5 + 55088*v**2/5 + 4896*v - 3561. Factor k(h).
2*(h + 1530)*(3*h + 2)**3/5
Factor -1/6*g**2 - 53/3 - 55/6*g.
-(g + 2)*(g + 53)/6
Let p = -6 + 56. Let o = 66 - p. Factor -4*m**5 + o*m**3 + m + 711*m**4 - 699*m**4 - m.
-4*m**3*(m - 4)*(m + 1)
Let o = 485/89 + -114271/979. Let i = o - -8601/77. Factor 9/7*f**4 + i*f**2 + 9/7*f**3 + 0*f + 3/7*f**5 + 0.
3*f**2*(f + 1)**3/7
Solve -95*f - 310*f - 272*f - 5*f**2 + 140*f - 8*f = 0 for f.
-109, 0
Let q(n) be the second derivative of -n**4/42 + 1138*n**3/7 - 2913849*n**2/7 + 211*n. Factor q(d).
-2*(d - 1707)**2/7
Suppose -2*v + 0 = -2, 0 = -o + 5*v - 2. Suppose -m = 5*j + o, 4*j = 3*m - 2*m - 6. Factor -b**3 + 2*b**2 + 4*b - 5*b**3 + m*b**5 + 0*b**5 - 2*b**4.
2*b*(b - 2)*(b - 1)*(b + 1)**2
Let p be 271 - 261 - (-1 - -5)/(5/10). What is a in -15 - 9*a - 3/4*a**p = 0?
-10, -2
Let j(l) be the third derivative of -l**6/200 - 53*l**5/100 - 119*l**4/8 - 1911*l**3/10 + 1355*l**2. Factor j(s).
-3*(s + 7)**2*(s + 39)/5
Let w be (15/(-40))/(111/(-592)). Let b(s) be the second derivative of 0 + 14*s + 1/3*s**3 - 1/12*s**4 + 3/2*s**w. What is a in b(a) = 0?
-1, 3
Let s be 35/((-3500)/75)*(-3024)/405. Factor 4/5*v**2 + s*v**3 - 4/5 - 28/5*v.
4*(v - 1)*(v + 1)*(7*v + 1)/5
Let g(n) be the third derivative of -n**8/112 - 183*n**7/70 + n**6/10 + 183*n**5/5 - 29*n**2 - 176*n. Find h, given that g(h) = 0.
-183, -2, 0, 2
Let a(p) be the first derivative of 0*p - 3*p**4 + 32/9*p**3 - 8/9*p**2 - 68. Factor a(l).
-4*l*(3*l - 2)*(9*l - 2)/9
Find p, given that 0 + 3/2*p**4 - 186*p**2 + 168*p - 3/2*p**5 + 54*p**3 = 0.
-7, 0, 2, 4
Let a(n) = -n**3 - 15*n**2 - 27*n - 11. Let l be a(-13). Factor l*o**3 + 45*o + 3*o**3 - 9*o**2 + 20 + 0*o**3 + 39*o**2.
5*(o + 1)**2*(o + 4)
Let z(s) be the third derivative of -2/105*s**7 + 140*s**2 + 0 + 0*s**3 + 0*s + 0*s**4 + 1/5*s**6 - 1/3*s**5. Let z(a) = 0. What is a?
0, 1, 5
Let g(l) be the third derivative of -l**6/540 - l**5/54 - l**4/27 - 2*l**2 + 44*l + 5. What is h in g(h) = 0?
-4, -1, 0
Factor -1726*q**2 - 196/3*q**3 - 17672/3 - 2/3*q**4 - 18424/3*q.
-2*(q + 2)**2*(q + 47)**2/3
Let y(q) be the second derivative of q**4/60 - 19*q**3/30 - 15*q**2 + 57*q - 10. Factor y(n).
(n - 25)*(n + 6)/5
Let g(o) be the second derivative of -o**5/4 + 95*o**4/12 - 190*o**3/3 - 240*o**2 + 353*o. Determine j so that g(j) = 0.
-1, 8, 12
What is t in 2862 - 89*t - 3574 - 275*t - 4*t**2 = 0?
-89, -2
Let 6 + 23/5*q**3 - 2*q**2 + 4/5*q**4 - 119/5*q = 0. What is q?
-5, -3, 1/4, 2
Let h(j) be the first derivative of 2*j**3/63 + j**2/21 - 4*j/21 + 450. Find l such that h(l) = 0.
-2, 1
Let s = 217838 + -1524864/7. Factor -s*z**5 - 18/7