t is c?
-359, 5
Let f(g) be the third derivative of g**6/150 + g**5/10 - 3*g**4/5 - 108*g**3/5 - 703*g**2. Factor f(i).
2*(i + 6)**2*(2*i - 9)/5
Let g(n) be the third derivative of n**5/240 + 329*n**4/96 + 4791*n**2. Let g(k) = 0. Calculate k.
-329, 0
Determine w, given that -3*w**2 + 32/5*w - 4/5 = 0.
2/15, 2
Suppose 4/7*t + 4/7*t**2 - 32 = 0. What is t?
-8, 7
Let a(o) be the first derivative of o**4/4 - 20*o**3 - 414*o**2 - 2592*o - 2434. Suppose a(q) = 0. What is q?
-6, 72
Suppose -r = -4*i + 7, 4*r - 14 = -0*i + 2*i. Let c be 12/(-38)*(-12426)/1526. Suppose c*k**2 - 96/7 + 3/7*k**i + 0*k = 0. What is k?
-4, 2
Suppose -5*i = 4*l - 4*i - 12, -4*i = -16. Find v, given that 0 - 9/7*v - 3/7*v**3 + 12/7*v**l = 0.
0, 1, 3
Let x be 531/708*(-7 + 1221/171). Factor x*b**2 + 0 + 46/19*b.
2*b*(b + 23)/19
Find q, given that -320 - 544 + 70*q**3 + 650*q - 5*q**4 - 340*q**2 + 489 = 0.
1, 3, 5
Let u be (-5 + 4506/912)*66/(-15). Let b = 3/76 + u. Find y, given that -1/10*y**5 + 3/10*y - 1/5*y**3 - 1/5*y**2 + b*y**4 - 1/10 = 0.
-1, 1
Let l(n) be the first derivative of -n**8/3192 - n**7/665 - n**6/380 - n**5/570 + 3*n**2/2 - n + 111. Let h(w) be the second derivative of l(w). Factor h(k).
-2*k**2*(k + 1)**3/19
Let n be (11 - (-590)/14)*21/(-2). Let m = 5023/9 + n. Suppose m - 2/3*p**2 - 5/9*p = 0. Calculate p.
-1, 1/6
Let w be ((-350534)/(-13) - (-52)/(-338)) + 2. Suppose w*a - 26966*a - 3*a**3 + 3*a**4 = 0. Calculate a.
0, 1
Let f be ((-29)/5 - 8) + 13 + 24/5. Let n(r) be the second derivative of -4/45*r**3 + 1/3*r**2 + 0 - 1/90*r**f + 2*r. Factor n(b).
-2*(b - 1)*(b + 5)/15
Factor -124/17 + 2/17*z**2 + 58/17*z.
2*(z - 2)*(z + 31)/17
Let j(w) be the third derivative of -w**6/30 - 4*w**5/3 - 64*w**4/3 - 512*w**3/3 + 619*w**2 + w. Determine l so that j(l) = 0.
-8, -4
Let g be 174*((-198)/27)/(-1). Let h = g - 3826/3. Factor 0 + 0*o**3 - 2/3*o**2 + h*o**4 - 1/3*o**5 + 1/3*o.
-o*(o - 1)**3*(o + 1)/3
Let h = -239 - -242. Let -2 - 5*y + h*y**5 + 4*y**4 + y**5 - 2*y**2 - 2*y**5 + 4*y**3 - y**5 = 0. Calculate y.
-2, -1, 1
Let z(m) = -113*m**3 - 1784*m**2 - 3565*m - 1777. Let i(a) = 828*a**3 + 12488*a**2 + 24956*a + 12438. Let l(j) = -6*i(j) - 44*z(j). Find u such that l(u) = 0.
-890, -1
Let a(i) be the third derivative of 5*i**8/84 + i**7/42 - 4284*i**2. Factor a(h).
5*h**4*(4*h + 1)
Let u be (-2 - 0)*-1*1. Suppose 11*k + 7*k - 17 = -17. Solve 20*p + k*p - 4*p**u - 4*p = 0 for p.
0, 4
Let w(o) be the second derivative of 0*o**2 + 0 + 1/3*o**4 + 15*o + 2/3*o**3. Find n, given that w(n) = 0.
-1, 0
Determine i, given that 3 - 1325*i**4 + 1321*i**4 + 40*i + 33 - 40*i**3 - 32*i**2 = 0.
-9, -1, 1
Let w(r) = 19*r**2 - 10*r + 115. Let c(i) = -9*i**2 - 9*i. Let o(g) = 10*c(g) + 5*w(g). Determine t so that o(t) = 0.
5, 23
Let c = 46218 + -46216. Determine a, given that 1/3*a**c + 0*a - 1/3 = 0.
-1, 1
Let s = 317846 - 317798. Solve 984*h**2 + s + 75*h**4 - 375/4*h**5 + 930*h**3 + 372*h = 0.
-2, -2/5, 4
Let m = -1052 - -1059. Let z(y) be the third derivative of -2/15*y**5 + 3/70*y**m + 0*y - 1/6*y**3 + 1/20*y**6 + 0 - 1/4*y**4 - 2*y**2. Factor z(t).
(t - 1)*(t + 1)*(3*t + 1)**2
Let m(o) = 6*o**3 + 11*o**2 - 7*o - 10. Let a(g) = 5*g**3 + 11*g**2 - 4*g - 12. Let v(h) = 5*a(h) - 4*m(h). Factor v(w).
(w - 1)*(w + 2)*(w + 10)
Let h(v) be the second derivative of 0*v**2 + 41/36*v**3 - 53*v + 1/72*v**4 - 2. Suppose h(f) = 0. What is f?
-41, 0
Suppose -8*f + 0*f - 416 = -448. Let q(z) be the first derivative of -9/10*z**5 - 9/8*z**f + 43/6*z**3 - 19 - 31/4*z**2 + 3*z. Find r, given that q(r) = 0.
-3, 1/3, 2/3, 1
Let h be (-75)/200 + (-2)/(-7) + (-594)/(-616). Let -7/8*t + 3/8 + 3/8*t**3 - h*t**2 = 0. What is t?
-1, 1/3, 3
Let k(z) = -z**2 - z - 1. Let b = -63 + 35. Let d(g) = 6*g**3 + 60*g**2 + 8*g - 32. Let m(a) = b*k(a) - 2*d(a). Solve m(q) = 0 for q.
-23/3, -1, 1
Factor 35*u**2 - 21*u**2 + 17*u - u**3 + 21 - 19*u**2.
-(u - 3)*(u + 1)*(u + 7)
Let g be 25850/(-11750)*1*5/(-1) - (-67)/3. Factor -35*b - 5/3*b**2 - g.
-5*(b + 1)*(b + 20)/3
Let b = 11/16806 + 3731/5602. Factor 4/15*t + 0 - b*t**2.
-2*t*(5*t - 2)/15
Let n(f) = 5*f**4 - 29*f**3 - 191*f**2 - 423*f - 2. Let k(r) = 43*r**4 - 233*r**3 - 1526*r**2 - 3383*r - 17. Let g(q) = -6*k(q) + 51*n(q). Factor g(w).
-3*w*(w + 5)**2*(w + 17)
Suppose -4*h = 3*o + 6, -4*o + 31*h - 34*h = 1. Suppose 2*s - 8 = 0, 0*i - s = o*i - 10. Solve -3/4*t**i - 1/4*t**2 - 3/4*t**4 + 0*t + 0 - 1/4*t**5 = 0.
-1, 0
Factor 149/2*r**2 + 74 + 1/4*r**3 + 593/4*r.
(r + 1)**2*(r + 296)/4
Let n(m) be the third derivative of -m**7/10 - 11*m**6/10 - 47*m**5/20 - 5*m**4/4 + 102*m**2 - 8. Solve n(c) = 0 for c.
-5, -1, -2/7, 0
Let n(d) = -7*d + 77. Let t be n(11). Suppose -10 = l + l, b + l + 5 = t. Factor b*y + 1/2 - 1/2*y**2.
-(y - 1)*(y + 1)/2
Suppose -184 = -184*i + 138*i. Let q(u) be the first derivative of 3/4*u**4 - 3*u**3 + i - 3*u + 9/2*u**2. Factor q(c).
3*(c - 1)**3
Let k = 83483434/117 + -713538. Let l = k - -80/13. Determine s, given that 1/9*s**2 + l*s + 64/9 = 0.
-8
Let q(x) = -x**2 + 2*x. Let i(u) = -u**2 - u + 1. Let a(b) = -8*b**3 - 4*b**2 - 2*b + 10. Let k(f) = a(f) - 10*i(f). Let s(m) = -k(m) + 6*q(m). Factor s(p).
4*p*(p - 1)*(2*p - 1)
Suppose 7*k - 752 = 95. Let r = -119 + k. Suppose 98/9 + 2/9*n**r + 28/9*n = 0. Calculate n.
-7
Let y be ((-29790)/8275)/(18/(-10)). Let -1/11*n**y + 0*n + 0 - 1/11*n**3 = 0. Calculate n.
-1, 0
Suppose 5*y + 45 = 5*p, 8*p - 5*p - 3 = -5*y. Let -6*h**4 + h**5 + p*h + 118590*h**2 - 4*h**3 - 3*h**5 + 2 - 118586*h**2 = 0. What is h?
-1, 1
Let s be 40/(-9)*1884/(-1570). Determine j, given that -32/3*j**2 - 76/3*j**4 + s*j**5 - 16/3*j + 36*j**3 + 0 = 0.
-1/4, 0, 1, 2
Find q, given that -536/7 - 544/7*q - 142/7*q**2 - 2/7*q**3 = 0.
-67, -2
Let j(s) be the second derivative of -3*s**5/100 - 1179*s**4/10 - 1390041*s**3/10 - 1181*s - 1. Determine c so that j(c) = 0.
-1179, 0
Let t(g) = -20 + 453*g - 598*g**2 + 61*g + 148*g**2 - 11. Let w(j) = 225*j**2 - 259*j + 16. Let v(f) = -6*t(f) - 11*w(f). Factor v(n).
5*(n - 1)*(45*n - 2)
Suppose 0 = -0*k + 5*k + 3*k + 2*k. Let h(o) be the first derivative of 2/5*o**5 - 8/9*o**3 - 2 + k*o + 1/9*o**6 + 0*o**4 + 0*o**2. Factor h(u).
2*u**2*(u - 1)*(u + 2)**2/3
Let v be (50/150*0)/41. Let -2/5*c**3 + v - 4/5*c**2 - 2/5*c = 0. What is c?
-1, 0
Factor 2/13*d**4 + 5202/13 + 4080/13*d + 1004/13*d**2 + 80/13*d**3.
2*(d + 3)**2*(d + 17)**2/13
Let u(r) = -3*r**2 - 1190*r - 1166. Let v(b) = 2*b**2 + 794*b + 777. Let g(m) = -5*u(m) - 7*v(m). Let g(t) = 0. Calculate t.
-391, -1
Let 0 + 11/4*j + 5/2*j**2 - 1/4*j**3 = 0. Calculate j.
-1, 0, 11
Suppose -18 = -41*o + 36*o + 3*l, 4*o + 2*l = -12. Let s(z) be the second derivative of 0 - 22*z + 1/170*z**5 + o*z**2 + 1/102*z**4 + 0*z**3. Factor s(m).
2*m**2*(m + 1)/17
Let o(v) = -2*v + 27. Let a be o(13). Let n(x) = -x**4 - x**2 + x. Let h(k) = 8*k**4 + 40*k**3 + 8*k**2 - 44*k - 16. Let j(w) = a*h(w) - 4*n(w). Factor j(f).
4*(f - 1)*(f + 2)**2*(3*f + 1)
Let r(v) be the third derivative of v**5/75 - 61*v**4/30 - 2*v**2 + 2*v. Solve r(p) = 0.
0, 61
Let c be 170/(-374)*6/(-90)*30. Suppose 2/11*l**4 - c*l**3 + 10/11*l**2 - 12/11 + 10/11*l = 0. What is l?
-1, 1, 2, 3
Factor 0 + 3/5*o**4 - 1449/5*o**2 + 5586/5*o + 72/5*o**3.
3*o*(o - 7)**2*(o + 38)/5
Suppose d = -3*m + 7 + 3, 4*m = -4*d. Suppose 0 = -4*s + m*b + 11, 4*b = 3*s - 1 - 7. Factor 5*p**2 - 10*p**3 - 5*p**s - 4*p - 2*p + 11*p + 5*p.
-5*p*(p - 1)*(p + 1)*(p + 2)
Let d = 56783/66255 + 1/9465. Suppose 1/7*t**2 - 1/7*t - d = 0. What is t?
-2, 3
Suppose -233*y = -219*y - 42. Determine r so that -256 + 135*r + 31*r**2 + 193*r**y - 192*r**3 + 89*r = 0.
-16, 1
Let a(y) be the second derivative of -y**6/10 + 363*y**5/10 - 4920*y**4 + 275200*y**3 - 1536000*y**2 + 864*y. Factor a(p).
-3*(p - 80)**3*(p - 2)
Factor 42/5*q**2 + 14*q + 2/5*q**3 - 114/5.
2*(q - 1)*(q + 3)*(q + 19)/5
Let a = 29 - 61. Let u be a/48*9/(-2). Determine d, given that 304*d**2 + 59*d**3 - 12*d**4 - 182*d**u - 125*d**3 - 96*d + 36*d**5 = 0.
-3, 0, 2/3, 2
Solve 0 + 0*a**2 + 0*a + 5/3*a**4 - 1/3*a**3 = 0.
0, 1/5
What is j in -9751/2*j**4 + 214095/2*j**3 - 7938 + 55944*j - 264609/2*j**2 + 343/6*j**5 = 0?
3/7, 42
Let d be (3/(-17))/(6/(-20)). Let w = -2101283 - -2101285. Let -8/17*q**w - d*q - 2/17 = 0. Calculate q.
-1, -1/4
Let 264/5*o**2 - 