k**2 + 4465*k - 4485*k - 19*k**2 - 5*k**3 + 14*k**2.
-5*k*(k + 1)*(k + 4)
Let c(l) be the second derivative of -l**6/30 - 27*l**5/20 + 61*l**4/12 + 29*l**3/2 + 13694*l. Suppose c(z) = 0. What is z?
-29, -1, 0, 3
Let l(j) be the first derivative of -j**4/2 - 7*j**3/3 - 5*j**2 - 6*j + 526. Let k be l(-2). Factor -1/2*u + 1/6*u**k + 1/3.
(u - 2)*(u - 1)/6
Let l(n) be the first derivative of -3*n**4/4 - 244*n**3 - 726*n**2 - 1188. Solve l(c) = 0.
-242, -2, 0
Factor 236/7*h - 4/7*h**2 - 880/7.
-4*(h - 55)*(h - 4)/7
Factor -195352/9*t**2 - 21316 + 1760/9*t**3 - 4/9*t**4 + 128480/3*t.
-4*(t - 219)**2*(t - 1)**2/9
Suppose -6 = n + 3*a, 22 = -2*n + 7*n + 2*a. Solve 368*y**2 - 18*y + 17*y**4 + 7*y**4 + 316*y**3 + 10*y**4 + 98*y - n*y**4 = 0 for y.
-10, -1, -2/7, 0
Let y = -2926 + 2931. Let t(i) be the first derivative of 0*i**2 - 1/24*i**6 - 1/10*i**y + 6 - 1/16*i**4 + 0*i + 0*i**3. Solve t(h) = 0 for h.
-1, 0
Let a(u) be the first derivative of -40/3*u - 1/2*u**2 + 1/9*u**3 - 5. Factor a(f).
(f - 8)*(f + 5)/3
Suppose -4*m = 5*b - 15, -11 = -2*m - 14*b + 31. Factor 21/4*u**3 + 0*u + m*u**2 + 0 + 3/4*u**5 + 6*u**4.
3*u**3*(u + 1)*(u + 7)/4
Factor 17*x**2 - 288*x - 102*x**3 - 1920 + 207*x**3 - 102*x**3 + x**2.
3*(x - 10)*(x + 8)**2
Let a = 10316/5 - 185687/90. Let l(s) be the third derivative of -8*s**2 - a*s**5 + 1/36*s**4 + 0 + 2/9*s**3 + 0*s. Determine x, given that l(x) = 0.
-1, 2
Let d(a) = 5*a**4 - a**3 + 2*a - 1. Let o(q) = 17*q**4 - 26*q**3 + 31*q**2 - 4*q - 3. Let s(t) = -3*d(t) + o(t). Determine v, given that s(v) = 0.
0, 1/2, 1, 10
Let z(m) be the third derivative of -7/4*m**3 - 1/240*m**6 + 0 + 209*m**2 - 11/120*m**5 - 31/48*m**4 + 0*m. What is q in z(q) = 0?
-7, -3, -1
Let f = 150 + -147. Suppose -2*o + 164*o**f - 89*o**3 - 231*o**2 + 20*o = 0. What is o?
0, 2/25, 3
Let o(p) = 6*p**4 + 30*p**3 + 46*p**2 - 5*p. Let d(m) = -11*m**4 - 59*m**3 - 92*m**2 + 9*m. Let c(k) = 5*d(k) + 9*o(k). Factor c(q).
-q**2*(q + 2)*(q + 23)
Determine m, given that 851632 - 58450 + 832048*m + 2578*m**2 + 2*m**3 + 36290 = 0.
-644, -1
Let y(h) be the second derivative of -h**5/30 + h**4/6 + h**3 - 59*h**2/2 - 97*h. Let a(u) be the first derivative of y(u). Factor a(b).
-2*(b - 3)*(b + 1)
Let o(l) be the second derivative of 3*l**5/40 - 323*l**4/4 + 104329*l**3/4 + 2532*l. Find t such that o(t) = 0.
0, 323
Suppose -56*p**5 + 54194*p - 478*p**4 + 29*p**5 - 63820*p**2 + 32*p**5 + 103*p**4 + 57166*p + 8760*p**3 + 184320 = 0. What is p?
-1, 6, 32
Let u be -2*1 - (8820/(-616))/7. Let o(q) be the third derivative of 0*q + 0 + u*q**4 + 38*q**2 + 3/11*q**3 + 1/330*q**5. Factor o(z).
2*(z + 3)**2/11
Let j(z) be the first derivative of -z**3 - 39*z**2/2 + 42*z - 727. Suppose j(y) = 0. Calculate y.
-14, 1
Let b(t) = -4*t**3 + t**2 + t - 1. Let f be b(-1). Suppose -12 = f*k - 0*k, 3*q = 4*k + 22. Factor 3/2*p**3 + 1/2*p**q + 0 - 7/8*p**4 + 0*p.
-p**2*(p - 2)*(7*p + 2)/8
Let l = 27 - 41. Let d(o) = -2*o**2 - 27*o + 15. Let j be d(l). Solve 4 + j - 2 + 7 + 12*t + 2*t**2 = 0 for t.
-5, -1
Suppose 509*h + 521*h - 176 - 1493*h + 2*h**2 + 499*h = 0. Calculate h.
-22, 4
Let r(k) be the third derivative of -k**7/42 - 7*k**6/24 + 121*k**5/12 + 35*k**4/24 - 100*k**3 + 14071*k**2. Find o such that r(o) = 0.
-15, -1, 1, 8
Suppose 5*v = 3*r + 39 + 27, 0 = 5*v + 4*r - 52. Factor v*d - 26*d + 2*d**2 - 24 + 6*d.
2*(d - 6)*(d + 2)
Let u(t) = -t**3 - 4*t**2 + 34*t - 4. Let a be u(-8). Let l be (-16)/(-20)*a/(-88). Let 2/11 - l*q**3 - 2/11*q**2 + 2/11*q = 0. What is q?
-1, 1
Let r(u) = 7*u - 12. Let z be r(2). Suppose -f + 4 + 2 + 103*f**2 + 0 - 104*f**z = 0. What is f?
-3, 2
Suppose 664*p + 648*p + 622*p - 2033*p = 0. Let -10*d**4 + 0*d + p + 11/2*d**3 + 2*d**2 = 0. Calculate d.
-1/4, 0, 4/5
Factor 2059*s + 89*s**2 - 658 + 1161*s**2 + 2116 + 641*s.
2*(25*s + 27)**2
Let m = 468 + -448. Suppose 42 = 11*i + m. Factor 2*w**2 + 2/3*w**3 + 2/3 + i*w.
2*(w + 1)**3/3
Let h(i) = 43*i**2 - 73*i**2 + 50*i**2 + 15552 + 872*i. Let t(o) = 7*o**2 + 291*o + 5184. Let f(d) = -3*h(d) + 8*t(d). Find c, given that f(c) = 0.
-36
Let f(h) be the first derivative of 2*h**2 + 4*h - 13/3*h**3 + 5/4*h**4 + 159. Find o such that f(o) = 0.
-2/5, 1, 2
Let h be (11 - 363/22)/(((-112)/7)/8). What is l in h*l**2 - 41/2*l**3 - 1/2*l**5 + 21*l - 9 + 25/4*l**4 = 0?
-1, 1/2, 1, 6
Suppose -3*g + 6 = -9. Suppose g*h - 5 = 5. Determine a so that -22*a**h - 3*a - 3 + 18*a**3 + a**5 - 237*a**4 + 16*a + 230*a**4 = 0.
1, 3
Let k(d) be the first derivative of d**4/2 + 20*d**3/3 - 265. Suppose k(j) = 0. Calculate j.
-10, 0
Let m(r) = 12*r - 56. Let p(a) = 2*a. Let d(f) = -m(f) + 8*p(f). Let n be d(-13). Let 0*g**3 + 0*g**2 - 1/5*g**n + 0 + 0*g = 0. Calculate g.
0
Let s(f) = -9*f**3 - 251*f**2 - 3383*f - 3125. Let z be 60/(-42) - (-18)/42. Let u(r) = -r**3 + r**2 - 2*r. Let b(o) = z*s(o) + 4*u(o). Factor b(h).
5*(h + 1)*(h + 25)**2
Let h(c) be the third derivative of -c**6/40 - 2*c**5/5 + 113*c**4/8 + 60*c**3 + 360*c**2. Determine w so that h(w) = 0.
-15, -1, 8
Let g = -22820/9 + 2536. Let i(m) be the third derivative of -1/6*m**4 - g*m**3 + 0*m + 0 - 13*m**2 - 1/30*m**5 - 1/360*m**6. Determine p so that i(p) = 0.
-2
Let q(w) be the second derivative of w**7/315 - 19*w**6/225 - 23*w**5/150 + 59*w**4/90 + 22*w**3/45 - 8*w**2/3 + 100*w. Solve q(h) = 0.
-2, -1, 1, 20
Let s be 12350/1729 + 1/(-7). Let m(d) be the second derivative of 0*d**2 + 10*d + 0 - 1/28*d**s + 3/40*d**5 + 0*d**3 - 1/8*d**4 + 1/20*d**6. Factor m(t).
-3*t**2*(t - 1)**2*(t + 1)/2
Let 0 + 28/3*s - 2/3*s**2 = 0. What is s?
0, 14
Suppose 0 = 198*j - 205*j + 182. Let c be j/4*(-124)/(-403). Suppose 2/5*k + 2*k**c + 8/5*k**3 + 0 = 0. What is k?
-1, -1/4, 0
Let p(t) be the first derivative of -1/9*t**3 + 1/18*t**6 - 1/5*t**5 + 1/4*t**4 + 0*t - 37 + 0*t**2. Let p(v) = 0. Calculate v.
0, 1
Factor -2/3*k**3 - 2/3*k + 0 + 4/3*k**2.
-2*k*(k - 1)**2/3
Suppose -1 = -14*t + 27. Let j be (-14)/((-12)/(72/30)). Factor -4/5 + 18/5*m - j*m**t.
-2*(m - 1)*(7*m - 2)/5
Let q be 12/(-318) + 296094/135786. Factor q*y**2 + 0*y + 1/7*y**4 - 8/7*y**3 + 0.
y**2*(y - 5)*(y - 3)/7
Solve -5748/7*m**3 + 4014/7*m**2 - 24/7*m**5 - 384/7 + 1270/7*m**4 + 872/7*m = 0 for m.
-1/3, 1/4, 1, 4, 48
Suppose -4*z + 6 = 2*k, -4*k = -5*z + 10 + 4. Let q(s) = -s**2 + 2*s - 1. Let x(h) = 10*h - 35. Let a(n) = z*q(n) + 2*x(n). Factor a(l).
-2*(l - 6)**2
Let h = 578187 + -2890934/5. Factor 104/5*o - h*o**3 - 7/5*o**2 - 48.
-(o - 4)**2*(o + 15)/5
Suppose -6*j + 544 = 4*a - 2*j, a - 4*j - 156 = 0. Let k be ((a/(-5))/4 - -6) + 1. Find c such that 1/5*c**2 + k + 6/5*c = 0.
-6, 0
Let j(g) be the second derivative of 0*g**2 + 5*g + 0*g**3 - 7/6*g**4 - 9 + 1/10*g**5. Suppose j(p) = 0. What is p?
0, 7
Let t(p) = p**3 + 9*p**2 + 15*p + 16. Let b be t(-7). Factor -43 + 3*q**3 + 17 + q + 17 - 4*q + b*q**2.
3*(q - 1)*(q + 1)*(q + 3)
Let y be 208/(6188/(-1360)*-10). Let x(v) = -v + 8. Let h be x(6). Factor y + 4/7*o**h + 24/7*o.
4*(o + 2)*(o + 4)/7
Determine c so that 2/7*c**2 + 286/7 - 48/7*c = 0.
11, 13
Suppose 4846 - 13360 = 11*u. Let r = 6968/9 + u. Determine f so that -4/9*f**2 + 4/9*f**3 + r*f**4 + 2/9 - 2/9*f - 2/9*f**5 = 0.
-1, 1
Let z be (-20)/(-45) - (6*1 + 21098/(-1386)). Solve 0*g + 0 + 8*g**3 + 4/3*g**2 + z*g**4 + 3*g**5 = 0 for g.
-2, -1, -2/9, 0
Factor -662 - 101685*u - 5*u**2 + 378 + 101400*u - 1016.
-5*(u + 5)*(u + 52)
Let m be (-39)/(-13) + 10/(-4). Let w be (-3819)/(-402) - 9*1. Factor w*h + 0 - m*h**2.
-h*(h - 1)/2
Let c(n) be the third derivative of -n**6/540 + n**5/60 - n**4/18 - n**3 - 38*n**2. Let f(r) be the first derivative of c(r). Find d such that f(d) = 0.
1, 2
Solve -23*y**4 + 1576*y**2 + y**5 + 3364 + 3019*y**3 - 90*y**4 + 9144*y**2 + 9976*y + 0*y**5 - 975*y**2 = 0 for y.
-1, 58
Let m(y) = -15314*y + 168464. Let j be m(11). Find s such that -32/3*s + 2/3*s**2 + j = 0.
1, 15
Let s(m) = -9 - 35 - 11*m - 26 + 5 - 34. Let p be s(-9). What is n in 3/8*n**3 + 1/4*n**4 + p*n + 0*n**2 + 0 - 1/8*n**5 = 0?
-1, 0, 3
Let j(u) be the third derivative of -u**7/210 + 13*u**6/15 - 964*u**5/15 + 2496*u**4 - 55296*u**3 + 5510*u**2. Factor j(a).
-(a - 36)**2*(a - 16)**2
Suppose 6*o = -2*u + 9*o + 240, -3*u + 3*o + 357 = 0. Factor u*v - 1061*v**2 - 1019*v**2 - 3*v**4 + 3*v**3 + 54 + 2149*v**2.
-3*(v - 6)*(v + 1)**2*(v + 3)