et s be 10/4*(0 - k). Suppose 0*t + 10/3*t**4 - 10/3*t**2 - 5/3*t**3 + 0 + 5/3*t**s = 0. Calculate t.
-2, -1, 0, 1
Let v be 210/(-98)*(-29 - 9954/(-350)). Solve -2/5*k**4 - v*k**3 + 0*k**2 + 8/5*k + 0 = 0 for k.
-2, 0, 1
Let j = 3778 + -2153. Let l be 75/j + (-2)/(-13). Factor 4/5*u**3 - 4/5*u**4 + l*u**5 + 0 + 0*u + 0*u**2.
u**3*(u - 2)**2/5
Let g(b) be the first derivative of -b**5 + 100*b**4 - 505*b**3 - 200*b**2 + 1520*b + 5589. Determine v, given that g(v) = 0.
-1, 1, 4, 76
Let r(n) = 10*n**3 + 35*n**2 + 60*n + 35. Let h(u) = -916*u**3 - 5 + 915*u**3 + 2 - 2*u - 3*u - 3*u**2. Let b(o) = 35*h(o) + 3*r(o). Let b(l) = 0. Calculate l.
-1, 0, 1
Let w(s) be the third derivative of s**5/15 + 1441*s**4/6 - 2884*s**3/3 - 308*s**2 + 2*s - 2. Factor w(z).
4*(z - 1)*(z + 1442)
Suppose 0 = 135*k - 96 - 174. Factor 15*u + 0 - 9*u**3 - 3/2*u**4 - 9/2*u**k.
-3*u*(u - 1)*(u + 2)*(u + 5)/2
Suppose -60*q - 45*q + 126*q = -716*q. Factor 0*p + 1/3*p**3 + q*p**2 - 1/3*p**4 + 0.
-p**3*(p - 1)/3
Let f(l) be the third derivative of -7*l**6/360 + 17*l**5/30 + 5*l**4/6 + 107*l**3/6 + 112*l**2. Let o(j) be the first derivative of f(j). Factor o(x).
-(x - 10)*(7*x + 2)
Let f(l) = 15*l**3 + 75*l**2 + l - 83. Let s(n) = 10*n**3 + 50*n**2 - 55. Let i(q) = -5*f(q) + 8*s(q). What is w in i(w) = 0?
-5, -1, 1
Let u(c) = 33*c**3 - 62*c**2 - 57*c - 17. Let h(v) = -v**3 - v + 1. Let d = 106 - 96. Let r(i) = d*h(i) + 2*u(i). Let r(a) = 0. Calculate a.
-1/2, -2/7, 3
Let t(f) = -f**3 - 13*f**2 + 17*f + 45. Let d be t(-14). Solve -4*q**4 - 64*q + 24*q**d - 4 + 4 - 28 - 20 + 12*q**2 = 0 for q.
-1, 2, 6
Solve -46/5*t**3 + 0 - 2/15*t**5 + 10/3*t**4 - 44/15*t + 134/15*t**2 = 0.
0, 1, 22
Let r = -177096 + 885481/5. Solve -4/5*s**2 + r*s**3 - 1/5*s + 4/5 = 0 for s.
-1, 1, 4
Factor 24/13*x**2 + 2/13*x - 504/13 - 2/13*x**3.
-2*(x - 9)*(x - 7)*(x + 4)/13
Let i(d) be the first derivative of 0*d + 9 + 1/12*d**3 + 0*d**4 - 13/2*d**2 - 1/120*d**5. Let f(a) be the second derivative of i(a). Let f(n) = 0. What is n?
-1, 1
Solve 0 + 8000*x - 8600*x**2 + 1/8*x**5 + 615*x**3 - 121/8*x**4 = 0.
0, 1, 40
Let d(w) be the second derivative of 3/4*w**5 + 0 + 23/2*w**3 - 9*w**2 + 7*w - 11/2*w**4. Determine h, given that d(h) = 0.
2/5, 1, 3
Suppose 65*i - 12664 = 61*i. Let f = -1217 + i. Factor 1949*z - f*z - 4*z**4 - 4*z**5.
-4*z**4*(z + 1)
Find l, given that 294030*l + 2/5*l**3 - 48514950 - 594*l**2 = 0.
495
Let c be ((-32300)/595 + 52)*(-2 - 3/(-2)). Determine k, given that -8/7*k**5 - 62/7*k**2 + 22/7*k**3 + 16/7*k**4 + 40/7*k - c = 0.
-2, 1/2, 1, 2
Let o(i) = 2*i**3 - 86*i**2 + 59*i + 1052. Let z be o(42). Solve 2/3*l - 1/2*l**3 + 2/3 - 5/6*l**z = 0.
-2, -2/3, 1
Let n be 10 - ((-3465)/15)/(-33). Factor 2*q + 8/5*q**2 + 2/5*q**n + 4/5.
2*(q + 1)**2*(q + 2)/5
Let b(l) be the second derivative of -l**4/90 - 22*l**3/15 + 71*l**2/3 + 3704*l. Find w, given that b(w) = 0.
-71, 5
Suppose 103*w - 60 = 249. Factor 26/9*d**2 + 0*d + 2/9*d**w + 0.
2*d**2*(d + 13)/9
Suppose -3*c + k = 2*c - 155, 2*c + 4*k - 84 = 0. Let -5*t**2 + c + t**2 + 0*t**2 + 3*t**2 + 0*t**2 + 31*t = 0. Calculate t.
-1, 32
Let n = -41 - -44. Suppose -n = 3*k - 9. What is o in -9*o - 6 - 626*o**2 + 623*o**k + 0 = 0?
-2, -1
Suppose -44 = 2*a - 4*k, 23 - 1 = 116*k - 114*k. Factor -35/4*b**3 + 0 + a*b + 15/4*b**2.
-5*b**2*(7*b - 3)/4
Factor -3288/7*m + 0 + 2/7*m**2.
2*m*(m - 1644)/7
Let o(w) be the second derivative of 1/9*w**3 + 1/30*w**6 + 49*w + 1/252*w**7 + 0*w**2 + 13/120*w**5 + 1/6*w**4 + 0. Factor o(t).
t*(t + 1)**2*(t + 2)**2/6
Suppose -12793 = 10*p - 161713. Find t such that -8*t**4 - 4*t**5 - 12*t + 8*t**2 + 16*t**3 - p + 14892 = 0.
-3, -1, 0, 1
Factor -148*r + 58*r**2 - 1152 + 555 - 2*r**3 + 389.
-2*(r - 26)*(r - 4)*(r + 1)
Let u(z) be the first derivative of -z**6/300 - 37*z**5/150 - 71*z**4/60 - 7*z**3/3 + 27*z**2 - 119. Let v(x) be the second derivative of u(x). Factor v(y).
-2*(y + 1)**2*(y + 35)/5
Let i(d) be the third derivative of -5*d**9/9072 - d**8/420 - d**7/630 + 26*d**3/3 - 8*d**2 - d. Let v(w) be the first derivative of i(w). Factor v(b).
-b**3*(b + 2)*(5*b + 2)/3
Let v(u) = -8*u**2 + 651*u - 6615. Let c(g) = -3*g**2 + 216*g - 2205. Let x(y) = 7*c(y) - 2*v(y). Suppose x(d) = 0. What is d?
21
Let -13/5*u**2 + 232/5*u + 36/5 = 0. Calculate u.
-2/13, 18
Find u such that 871*u**3 + 41 + 261 + 877*u**3 - 1752*u**3 - 908*u + 610*u**2 = 0.
1/2, 1, 151
Let v be (-2 - (0 - -6)/(-3))*-1. Suppose -2*m - m + 12 = v. Let -m*p**2 - 27*p + 9*p + 10*p + 4*p**3 = 0. What is p?
-1, 0, 2
Suppose 5*p = 368*m - 381*m + 36, 0 = 2*p + 2*m - 8. What is f in -1/2*f**3 - 5/2*f**p + 0 - 3*f = 0?
-3, -2, 0
Let 192*y - 480 - 9/2*y**2 = 0. Calculate y.
8/3, 40
Let c(f) be the first derivative of 3*f**5 - 85*f**4/4 - 10*f**3 + 240*f**2 + 160*f + 937. What is n in c(n) = 0?
-2, -1/3, 4
Let w = -1384 + 1335. Let l be -4 + (-28)/w*14. Factor s - 9/2*s**2 - 5/2*s**l + 6*s**3 + 0.
-s*(s - 1)**2*(5*s - 2)/2
Suppose 0 = 132*u - 133*u + 3. Suppose j + 6 = -l + 2*l, 5*j + 14 = -u*l. Factor -6 + 12 - l + 4*d**2 + d + 7*d.
4*(d + 1)**2
Let o = -10/557 + 587/1671. Let v(g) be the third derivative of o*g**3 + 0*g - 1/30*g**5 + 0 + 1/120*g**6 + 15*g**2 - 1/24*g**4. Factor v(s).
(s - 2)*(s - 1)*(s + 1)
Let u = 28811/3 - 9603. Factor -28/9*b + u*b**2 + 22/9.
2*(b - 1)*(3*b - 11)/9
Let q be (-11 - -4) + (-4056)/(-403) + 6/(-93). Find r, given that -29/6*r - 1/6*r**q + 3 + 2*r**2 = 0.
1, 2, 9
Let w be (918 + -918)*1/15. Let t be -4*((-12)/16 - 0) + -3. Suppose 3/7*b**4 - 6/7*b**3 + t*b + 3/7*b**5 + w*b**2 + 0 = 0. What is b?
-2, 0, 1
Let r = -44 - -55. Suppose 4*o - 12 = -3*q + o, -r = -2*q - 5*o. Factor -l**3 + 16*l**2 - 16*l + 5*l**q + 0*l**3 + 41*l**4 - 45*l**4.
-4*l*(l - 2)*(l - 1)*(l + 2)
Let -11/2*z**3 + 0*z + 0 + 1/4*z**4 - 10*z**2 + 1/4*z**5 = 0. Calculate z.
-4, -2, 0, 5
Let u(t) = -7*t**2 - 61*t - 6. Let j(g) = g**2 + 3*g + 2. Let q(f) = 3*j(f) + u(f). Factor q(a).
-4*a*(a + 13)
Let v(d) = -3*d**3 - 45*d**2 + 147*d - 91. Let p(c) = -6*c**3 - 89*c**2 + 294*c - 181. Let q(m) = -4*p(m) + 9*v(m). Factor q(g).
-(g - 1)*(g + 19)*(3*g - 5)
Let p(y) = -8*y + 35. Let s(k) = 26*k - 105. Let x(o) = -7*p(o) - 2*s(o). Let h be x(10). Factor h*j**3 + 36*j**2 + 0*j**3 - 5 - 12*j**2 - 19*j**2 - 5*j.
5*(j - 1)*(j + 1)**2
Suppose 10*w - 276*w + 906 = 187*w. Find g, given that 2/11*g**w + 0 + 0*g = 0.
0
Suppose -4*x - 4*h = 24, 0 = 4*x + 3*h + 123 - 109. Factor 14/11*w**3 - 8/11*w - 8/11*w**2 + 0 - 4/11*w**x.
-2*w*(w - 2)**2*(2*w + 1)/11
Suppose 6*d - d = 40. Suppose -d*l - 4 = -9*l. Let 9*c**l - 210*c**2 + 8*c**3 + 210*c**2 - 6*c**5 - 2*c**3 = 0. What is c?
-1/2, 0, 2
Let z(c) = -17*c**2 + 28198*c - 39790205. Let q(l) = -135*l**2 + 225585*l - 318321640. Let n(a) = -12*q(a) + 95*z(a). Factor n(v).
5*(v - 2821)**2
Factor 1/2*j**4 - 41*j**3 + 1134*j**2 - 10935*j + 19683/2.
(j - 27)**3*(j - 1)/2
Let g = 7 + -3. Let j(v) = 3*v - 9. Let b be j(g). Factor b*w**2 - 4*w**3 - 2 - 2 + 5*w**3.
(w - 1)*(w + 2)**2
Let p = 26/1939 + 1292456/1939. Let q = p - 666. Factor 4/7*j**4 - q*j**3 - 4/7*j**2 + 0 + 0*j + 4/7*j**5.
4*j**2*(j - 1)*(j + 1)**2/7
Let r(c) = 3*c**2 - 9*c + 26. Let w(t) = 4*t**2 - 13*t + 39. Let d(o) = 7*r(o) - 5*w(o). Let b be d(-5). Solve 3*h**3 - 2 - 449*h**4 + b + 446*h**4 = 0 for h.
0, 1
Let l(g) = 211*g + 2. Let s be l(0). Let m(c) be the third derivative of 2/105*c**7 + 24*c**s + 0 + 1/15*c**6 + 1/15*c**5 + 0*c**3 + 0*c + 0*c**4. Factor m(a).
4*a**2*(a + 1)**2
Let v(i) = -275*i**3 + 2625*i**2 + 5500*i. Let p(t) = 13*t**3 - 125*t**2 - 262*t. Let a(f) = -85*p(f) - 4*v(f). Let a(j) = 0. Calculate j.
-2, 0, 27
Suppose -5192/9*d**3 - 20/9*d**5 - 608/3*d**2 - 1588/9*d**4 + 0*d + 0 = 0. What is d?
-76, -3, -2/5, 0
Let j = 4069 + -4063. Let n(l) be the third derivative of -1/60*l**4 + 0*l**3 + 1/600*l**j + 10*l**2 - 1/300*l**5 + 0 + 0*l. Let n(y) = 0. What is y?
-1, 0, 2
Suppose 3*j - 82 + 76 = 0. Factor -133*x**2 - 6*x - 4*x + 121*x**2 - j*x**3.
-2*x*(x + 1)*(x + 5)
Let k(t) = 15*t**4 + 119*t**3 + 217*t**2 - 383*t + 8. Let j(b) = 5*b**4 + 39*b**3 + 72*b**2 - 128*b + 3. Let n(f) = 8*j(f) - 3*k(f). Solve n(p) = 0.
-5, 0, 1
Let w be ((-6)/20)/((-2 - -3)/(-9)) + 60/(-50). Determine f so that 5/4*f**3 - w - 2*f**2 - 19/4*f = 0.
-1, -2/5, 3
Factor -4863922*v**2 - 133473 + 15840