*k**3 - 312/7*k - 26*k**2 - m*k**5 = 0?
-2, -1, -2/7, 3
Let f(q) be the first derivative of q**8/9240 + 13*q**7/1155 + 169*q**6/495 - 63*q**3 + 2. Let k(i) be the third derivative of f(i). Factor k(x).
2*x**2*(x + 26)**2/11
Factor 2/13*p**2 - 290/13*p - 588/13.
2*(p - 147)*(p + 2)/13
Let m(c) be the second derivative of 2*c**6/75 - 29*c**5/25 + 26*c**4/5 + 29*c - 4. Determine w so that m(w) = 0.
0, 3, 26
Let z(d) be the first derivative of d**6/3 - 28*d**5/15 - 7*d**4/3 + 8*d**3 + 43*d**2/3 + 20*d/3 + 1736. Find q, given that z(q) = 0.
-1, -1/3, 2, 5
Suppose -1462 + 5350 = 4*o. What is t in 4860*t + 42*t**3 + 1188*t**2 + 4*t**4 + 15*t**3 + 4860 + 59*t**3 + o = 0?
-9, -2
Let p(t) = -t**3 + 20*t**2 - 21*t + 42. Let i be p(19). Suppose 0 = -o - c - i, 13*c = 10*c - 12. Find q, given that -4/7*q**2 + 2/7*q + o = 0.
0, 1/2
Let z(g) be the third derivative of -g**5/30 - 7*g**4/12 - 4*g**3 - 9*g**2 + 14. Determine j so that z(j) = 0.
-4, -3
Let c(o) be the first derivative of 2*o**3/15 - 2362*o**2/5 + 2789522*o/5 - 4098. Factor c(a).
2*(a - 1181)**2/5
Let d = -52496/825 + 702/11. Let v(u) be the second derivative of -24*u + 0*u**2 - 1/60*u**4 + 0 + 1/15*u**3 + d*u**6 - 29/100*u**5. Let v(n) = 0. What is n?
-1/4, 0, 2/7, 1
Let v(j) be the first derivative of 30 - 36*j - 4/3*j**3 + 20*j**2. Factor v(y).
-4*(y - 9)*(y - 1)
Let d(n) be the third derivative of 0*n**7 - 1/1176*n**8 + 1/420*n**6 + 0*n - 18*n**2 + 0*n**5 + 0*n**4 + 0 + 0*n**3. Factor d(l).
-2*l**3*(l - 1)*(l + 1)/7
Let d(a) = a**3 + 3*a**2 + 4*a + 7. Let c be d(-2). Factor -9*u**2 + 4*u**4 - u**2 - 2*u**2 - 8*u - 7*u**c - 14*u**2 - 8*u**2.
u*(u - 4)*(u + 2)*(4*u + 1)
Let t(u) be the first derivative of -u**3 + 27*u**2/2 + 108*u + 1964. Factor t(g).
-3*(g - 12)*(g + 3)
Let o(n) = 4*n**2 + 3*n - 4. Let p be o(-3). What is q in -p - 4*q**2 - 24 + 24*q + 11 = 0?
3
Let k(z) be the first derivative of -37*z**4 + 272*z**3/3 - 50*z**2 - 24*z - 6216. Factor k(j).
-4*(j - 1)**2*(37*j + 6)
Suppose 11 = -64*j + 395. Let b(g) be the second derivative of 1/5*g**2 + 1/25*g**5 + 0 + 0*g**4 - 2/15*g**3 - 1/75*g**j + 9*g. Factor b(d).
-2*(d - 1)**3*(d + 1)/5
Let n(o) be the second derivative of -13 + 1/5*o**5 - 20/11*o**4 - 2/3*o**3 - 1/165*o**6 - 4*o + 11*o**2. Determine g so that n(g) = 0.
-1, 1, 11
Let b be 20/(-9) + 2 + 19765/45. Suppose -439 + 200*f**2 + 140*f + 2*f**3 + b - 17*f**3 = 0. Calculate f.
-2/3, 0, 14
Let i be -6 + 8 + (-1)/(-1). Suppose -i*v + 5*v - 6 = -4*n, 4*n = -4*v. Let -8/5*d + 6/5*d**2 - 2/5*d**4 - 8/5 + 4/5*d**n = 0. Calculate d.
-1, 2
Let o(n) be the third derivative of n**8/5040 - 2*n**7/315 + 8*n**6/135 - 53*n**3/6 + 49*n**2. Let r(s) be the first derivative of o(s). Solve r(g) = 0.
0, 8
Let y(x) be the first derivative of -x**4/18 + 188*x**3/27 + 101*x**2/9 - 380*x/3 - 7079. Solve y(p) = 0 for p.
-3, 2, 95
Let h = 24395/18 + -1355. Let g(f) be the first derivative of -h*f**4 + 2/45*f**5 - 4/9*f**2 + 16/27*f**3 - 7 + 0*f. Suppose g(l) = 0. Calculate l.
0, 1, 2
Let g = 3 + 1. Let i be -9*1*28/(-63). What is b in -9*b**2 + 15*b**4 - 16*b**g - 5*b**3 - 2 - 7*b + 0*b**i = 0?
-2, -1
Let j(r) be the first derivative of -3/4*r + 1/4*r**3 - 80 - 3/16*r**4 + 3/8*r**2. Find t such that j(t) = 0.
-1, 1
Let u = -1/242507 - -46561351/1697549. Solve 2304/7 + 4/7*w**2 + u*w = 0.
-24
Let h = -281201/420 - -1943/60. Let y = 638 + h. Factor y*o**2 + 12/7 + 18/7*o.
6*(o + 1)*(o + 2)/7
Suppose -1281*c**2 + 637*c**2 - 862427 - 94057 + 3912*c + 640*c**2 = 0. What is c?
489
Let j(q) be the second derivative of 51*q**5/5 - 273*q**4/4 + 2*q**3 + q - 2354. Factor j(h).
3*h*(h - 4)*(68*h - 1)
Solve -86/5*j**2 + 6/5 - 58/5*j - 22/5*j**3 = 0 for j.
-3, -1, 1/11
Let f(c) be the first derivative of 0*c - 12*c**2 + 58 - 28/3*c**3 + 3*c**4 - 2/3*c**6 + 12/5*c**5. Let f(n) = 0. What is n?
-1, 0, 2, 3
Let w(j) be the third derivative of 1/330*j**5 + 0*j**3 - 1/1155*j**7 - 1/165*j**6 + 2*j + 1/33*j**4 + 0 + 12*j**2. Find s such that w(s) = 0.
-4, -1, 0, 1
Let t(z) be the third derivative of -z**6/240 - z**5/20 + 247*z**4/48 + 2856*z**2. Factor t(g).
-g*(g - 13)*(g + 19)/2
Let v = -2/21217 + 190961/84868. Let b(n) be the second derivative of 0 + 3/8*n**4 + 11/8*n**3 + v*n**2 + 3/80*n**5 + 25*n. Find r such that b(r) = 0.
-3, -2, -1
Let y(r) be the third derivative of -1/3*r**5 - 7/60*r**6 + 0*r**3 - 1/3*r**4 - 1/70*r**7 + 232*r**2 + 0*r + 0. Solve y(k) = 0.
-2, -2/3, 0
Let s(i) be the third derivative of i**8/2688 - 3*i**7/280 + i**6/8 - 23*i**5/30 + 11*i**4/4 - 6*i**3 - 20*i**2 - 34. Solve s(b) = 0 for b.
2, 6
Suppose 10 - 22 = -4*a. Let l be (17 - -4) + (-1)/(a/6). Suppose 39*z + 3*z**3 + 24*z**2 + 28*z - l*z = 0. Calculate z.
-4, 0
Suppose -260 = -3*a + 7*a - 70*h, -4*h = -16. Factor 1/2*x**a + 0*x**2 - x**3 + 1/2*x + 0 + 0*x**4.
x*(x - 1)**2*(x + 1)**2/2
Let r(c) = -5*c + 104. Let w be r(20). Find h such that -114*h - 562*h**2 + w + 444*h**2 + 0 = 0.
-1, 2/59
Factor 2/9*i**2 + 494018/9 + 1988/9*i.
2*(i + 497)**2/9
Suppose 0 = -6*q - 5*z + 2, 0 = -q + 98*z - 101*z - 4. Let a(x) be the first derivative of 10 - 20/3*x + 25/6*x**q - 5/9*x**3. Factor a(y).
-5*(y - 4)*(y - 1)/3
Let 2/19*n**2 + 5368/19 + 5370/19*n = 0. What is n?
-2684, -1
Let o be ((4 - 27)/23)/((6 - 2)/(-12)). Determine r, given that 2/3*r**o - 2/3*r**2 - 2/3*r + 2/3 = 0.
-1, 1
Suppose 221*g - 223*g + 15 = -3*y, 2*g = -3*y - 3. Let r(b) be the first derivative of 13 + 30*b + 25/2*b**2 - 5/3*b**g. Factor r(h).
-5*(h - 6)*(h + 1)
Let k(g) = -6*g**3 - 5*g**2 - 12*g - 38. Let z be k(-7). Let f = z + -1856. Factor 0 - 5/3*v**2 - v**f - 2/3*v.
-v*(v + 1)*(3*v + 2)/3
Let i be (-6734)/(-7770)*(-120)/(-117). Factor i + 76/3*w - 841/9*w**3 + 174*w**2.
-(w - 2)*(29*w + 2)**2/9
Factor 2401/9*w**5 + 50368/9*w + 512/9 + 57722/9*w**4 + 463345/9*w**3 + 1248152/9*w**2.
(w + 8)**3*(49*w + 1)**2/9
Let y(n) be the second derivative of -1 - 1/20*n**4 + 21/10*n**2 - 13*n + 3/5*n**3. Suppose y(m) = 0. Calculate m.
-1, 7
Let d(q) be the first derivative of -4*q**3/15 - 246*q**2/5 + 507. Factor d(a).
-4*a*(a + 123)/5
Let h(z) be the third derivative of -z**8/11760 + z**6/2520 - 31*z**3/6 + 145*z**2. Let f(l) be the first derivative of h(l). Factor f(p).
-p**2*(p - 1)*(p + 1)/7
Factor 1/3*y**5 + 0 - 232/3*y**3 + 0*y - 23/3*y**4 - 496/3*y**2.
y**2*(y - 31)*(y + 4)**2/3
Suppose 3 = -o + 597. Suppose -o*h + 537*h + 3380 - 5*h**3 - 110*h**2 - 268*h = 0. Calculate h.
-13, 4
Let y(f) be the third derivative of 0 - 78*f**2 - 1/240*f**6 - f**4 + 0*f + 13/120*f**5 + 3*f**3. Solve y(k) = 0.
1, 6
Let g(i) be the second derivative of i**9/7560 - i**8/224 - 4*i**7/315 - 47*i**4/6 + 35*i. Let p(u) be the third derivative of g(u). Factor p(c).
2*c**2*(c - 16)*(c + 1)
Let k be ((-6)/10)/(42728/(-125020)). Let c = k + -9/218. Factor -c*s - 4/7*s**2 + 40/7.
-4*(s - 2)*(s + 5)/7
Suppose 0 = -4*i + 4*q + 284, -i = i + q - 142. Let f = i + -69. Factor 100*d**5 - 61*d**3 - 23*d**4 - 3*d**3 + 31*d**4 + 16*d**f + 12*d**4.
4*d**2*(d + 1)*(5*d - 2)**2
Let m be (16/(-12))/((-11)/33). Factor 222*n**2 + 2*n**5 - 10*n**3 - 15*n**4 + 17*n**m + 0*n - 216*n**2 + 0*n.
2*n**2*(n - 1)**2*(n + 3)
Let q**5 + 16/7*q**4 - 3/7*q**3 + 0 - 4/7*q - 16/7*q**2 = 0. What is q?
-2, -1, -2/7, 0, 1
Suppose -4*x + 4*z - 2628 = -2644, -5*z - 20 = 4*x. Factor 4/3*s**3 + 0*s + x + 0*s**2 - 4/3*s**4.
-4*s**3*(s - 1)/3
Let a(x) = -x**3 + 451*x**2 - 17760*x + 49280. Let s(q) = -2*q**3 + 1352*q**2 - 53280*q + 147838. Let u(o) = -7*a(o) + 2*s(o). Find m, given that u(m) = 0.
3, 74
Suppose 1/2*u**2 + 159201/2 - 399*u = 0. What is u?
399
Let g(f) be the first derivative of 5*f**6/6 - 2*f**5 - 15*f**4/4 + 40*f**3/3 - 10*f**2 + 937. Find a such that g(a) = 0.
-2, 0, 1, 2
Determine l, given that 7688/3 + 153016/9*l - 1462/3*l**4 + 294878/9*l**2 + 4*l**5 + 128752/9*l**3 = 0.
-3/2, -1/3, 62
Solve 460*r + 6313*r**3 + 6596*r**3 - 13144*r**3 - 177*r**2 - 5*r**4 - 43*r**2 = 0 for r.
-46, -2, 0, 1
Let s(u) be the third derivative of 0*u + 93*u**2 + 5/48*u**4 + 0 + 1/120*u**5 + 0*u**3. Factor s(v).
v*(v + 5)/2
Let q(p) be the third derivative of -p**8/1848 + p**7/105 - 395*p**2 - 2*p. Factor q(d).
-2*d**4*(d - 11)/11
Let o be (-2)/(-4)*(-1804 + 1805). Factor 0 + 6*r**2 + 3*r**4 - 2*r - 13/2*r**3 - o*r**5.
-r*(r - 2)**2*(r - 1)**2/2
Let d be 11