(h + 2)
Let i(s) = 544*s + 57. Let r be i(-3). Let t = -3129/2 - r. Find f, given that -t*f**4 - 3*f**2 - 3/2*f**5 + 27/2 - 21*f**3 + 45/2*f = 0.
-3, -1, 1
Suppose -3160 + 2208 = -476*u. Factor 16/3 + 0*p - 1/3*p**u.
-(p - 4)*(p + 4)/3
Let z(t) be the second derivative of 1/12*t**4 + 1/30*t**6 - 16*t + 7/60*t**5 + 0 - 4*t**2 - 1/6*t**3. Let s(u) be the first derivative of z(u). Factor s(r).
(r + 1)**2*(4*r - 1)
Determine m, given that 45000 + 300*m + 1/2*m**2 = 0.
-300
Find s, given that -9/2*s**4 + 41*s + 75/2*s**2 + 12 - s**5 + 5*s**3 = 0.
-4, -2, -1, -1/2, 3
Let x(w) be the first derivative of 2*w**3/3 - 12462*w**2/7 + 7120*w/7 - 2340. Factor x(n).
2*(n - 1780)*(7*n - 2)/7
Let o(h) be the third derivative of h**6/540 - 67*h**5/270 - 961*h**4/108 + 1027*h**3/27 + h**2 - 31*h - 1. Factor o(u).
2*(u - 79)*(u - 1)*(u + 13)/9
Let h be (-46)/2277*-407 - (4 + 3). Let t(o) be the second derivative of -4/3*o**2 - 13*o - 4/15*o**5 + h*o**4 + 0 - 10/9*o**3. Find k, given that t(k) = 0.
-1/4, 1, 2
Determine p, given that 8084/7*p + 17672/7 + 4/7*p**3 - 368/7*p**2 = 0.
-2, 47
Let w(o) = -o**2 - 2. Suppose -2 = 5*u - k, -5*k = -3*u + 16 - 4. Let m(q) = 4*q**2 + 12*q + 26. Let n(h) = u*m(h) - 6*w(h). Factor n(t).
2*(t - 7)*(t + 1)
Let a(n) be the second derivative of 0 - 25/12*n**4 + 81*n + 25/2*n**2 + 5/6*n**3 - 1/4*n**5. Factor a(g).
-5*(g - 1)*(g + 1)*(g + 5)
Let v(n) be the second derivative of -n**6/105 + 16*n**5/7 - 3200*n**4/21 - 147*n + 2. Let v(g) = 0. What is g?
0, 80
Let g(s) = -3*s**3 + 27*s**2 + 36*s - 30. Let v(d) = -4*d - 1. Let o(b) = -g(b) + 30*v(b). What is z in o(z) = 0?
-4, 0, 13
Let y(k) be the third derivative of -k**6/360 - 29*k**5/180 - 34*k**4/9 - 416*k**3/9 + k**2 + 886*k + 1. Solve y(l) = 0 for l.
-13, -8
Let h(v) be the first derivative of -v**5/10 - 2*v**4 - 10*v**3 + 5291. Suppose h(i) = 0. Calculate i.
-10, -6, 0
Let d(r) = -r - 44. Let f be d(3). Let c(h) = 2*h**2 + 98*h + 192. Let a be c(f). Factor -3/4*q**3 - 9/2*q**2 + 3/4*q**a + 3*q + 6.
3*(q - 2)**2*(q + 1)*(q + 2)/4
Let c be 2524/(-42) + (-66)/(-693). Let j be (-15)/90 + (-118)/c. Factor -3/5*l**3 - 21/5*l - 3*l**2 - j.
-3*(l + 1)**2*(l + 3)/5
Let h(i) be the third derivative of -4*i**2 + 1/350*i**7 - 1/200*i**6 - 1/100*i**5 - 2*i + 1/40*i**4 + 0*i**3 + 0. Factor h(r).
3*r*(r - 1)**2*(r + 1)/5
Let l(c) be the third derivative of 0*c**3 + 0*c + 25/2*c**4 - 84*c**2 + 1/40*c**6 + 0 + c**5. Determine p, given that l(p) = 0.
-10, 0
Let f(r) = -43*r**2 - 4121*r + 2125922. Let i(s) = 28*s**2 + 4122*s - 2125922. Let p(t) = 4*f(t) + 6*i(t). Factor p(z).
-4*(z - 1031)**2
Let y(t) = -t**3 + 10*t**2 - 590*t + 296*t + 42 + 290*t. Let m be y(10). Solve -3/4*a**m + a + 0 = 0 for a.
0, 4/3
Let y = 476 - 170. Factor -2*j**3 + 4*j**3 - y*j**2 - 8 + 284*j**2 - 2*j**5 + 24*j + 8*j**4 - 2*j**4.
-2*(j - 2)*(j - 1)**3*(j + 2)
Let j(m) be the first derivative of m**6/180 - 2*m**5/225 - m**4/180 + m**2/2 - 6*m - 17. Let l(d) be the second derivative of j(d). Factor l(v).
2*v*(v - 1)*(5*v + 1)/15
Let x(i) be the first derivative of -2*i**2 + 48 + 2*i - 7/8*i**4 - 19/6*i**3. Solve x(w) = 0.
-2, -1, 2/7
Let a(k) = k**3 - 2*k**2 - 18*k + 38. Let t(l) = 8*l - 22. Let s be t(3). Let u be a(s). Factor 0 - 14/3*w**u + 6*w**3 - 10/3*w**4 + 2/3*w**5 + 4/3*w.
2*w*(w - 2)*(w - 1)**3/3
Let q be 27/3 - ((-6)/(-27) + (-3792)/(-432)). Find b, given that q*b**3 + 8*b + 0 + 6*b**2 - 1/2*b**4 = 0.
-2, 0, 4
Let l(r) be the first derivative of -r**5/20 + r**4/12 + 13*r - 104. Let g(m) be the first derivative of l(m). Factor g(k).
-k**2*(k - 1)
Let t(o) be the second derivative of -o**7/420 + o**6/45 - o**5/12 + o**4/6 + 38*o**3/3 + 2*o + 83. Let n(y) be the second derivative of t(y). Factor n(f).
-2*(f - 2)*(f - 1)**2
Let u = 292666 - 2048660/7. Solve 6/7 + 4/7*m - u*m**2 = 0 for m.
-1, 3
Let d = 35496 + -35492. Factor 54/7*r**3 + 291/7*r**2 + 3/7*r**d + 432/7*r + 192/7.
3*(r + 1)**2*(r + 8)**2/7
Suppose 20*j + 3*d = 18*j + 117, 5*d = 15. Factor 18*w**3 - j*w**3 + 7*w + 12*w**2 + 9*w + 52*w**2.
-4*w*(w - 2)*(9*w + 2)
Suppose -2662 = -82*f - 2416. Factor -5/4*g**f + 3/2*g**2 + 0*g + 0 - 1/4*g**4.
-g**2*(g - 1)*(g + 6)/4
Factor -111/8*o**2 + 1/8*o**4 + 77*o + 290 - 13/4*o**3.
(o - 29)*(o - 5)*(o + 4)**2/8
Factor 0 + 0*o - 1/9*o**3 + 22*o**2.
-o**2*(o - 198)/9
Let t be 3/((-4)/(340/(-15))). Determine q, given that -20*q**2 - t*q**2 - q + 43*q**2 + 16*q - 21 = 0.
-7/2, 1
Let c(b) = -51*b - 144. Let o be c(-6). Find h such that -1386*h**2 + 810*h**2 - 32 - 227*h + o*h**3 - 53*h = 0.
-2/9, 4
Suppose 474 = 2*k + 4*s, 0 = 2*s + 5*s + 28. Suppose k*i = 253*i - 40. Factor -5/9*r**3 + 0*r + 0 - 4/9*r**4 - 2/9*r**2 - 1/9*r**i.
-r**2*(r + 1)**2*(r + 2)/9
Let t be 9/3 - (0 - 0). Let l = 4579/3 - 1525. Factor 10/9*p**2 + l*p**t + 0*p + 2/9*p**4 + 0.
2*p**2*(p + 1)*(p + 5)/9
Let m(c) = -10*c - 7. Suppose b - 3*t - 9 = 2*t, -2*b = 2*t + 6. Let o be m(b). Factor -75*w**4 - 43*w**3 - 12*w**2 - 36*w**o + 9*w**3 + 10*w**3.
-3*w**2*(5*w + 2)**2
Suppose 4*x - h + 5*h = 60, -3*x + 5*h + 13 = 0. Suppose -x*q + q - 7*q**2 - 3*q**2 + 12 + 12*q**2 = 0. Calculate q.
2, 3
Let c(d) be the first derivative of -d**4 + 928*d**3/3 + 2362*d**2 + 3792*d + 7933. Factor c(b).
-4*(b - 237)*(b + 1)*(b + 4)
Determine l so that 51516 + 82*l + 285*l**2 + 3*l**5 - 51516 - 125*l**4 + 75*l**3 = 0.
-1, -1/3, 0, 2, 41
Let t(j) = 13*j**4 + 20*j**3 - 38*j**2 - 6*j + 25. Let y(h) = 2*h**4 + 2*h**3 + h + 2. Let r(u) = 2*t(u) - 4*y(u). Let r(o) = 0. Calculate o.
-3, -7/9, 1
Let -2/17*v**4 - 22/17*v**2 - 72/17 - 22/17*v**3 + 118/17*v = 0. What is v?
-9, -4, 1
Let n be 5 - 11 - (5 + -20). Factor 50*k - 34*k**2 + 2 - 26*k**2 + 53 - 4*k**4 + n*k**4 - 50*k**3.
5*(k - 11)*(k - 1)*(k + 1)**2
Factor 88/5*x - 2/5*x**2 - 518/5.
-2*(x - 37)*(x - 7)/5
Let x(h) be the first derivative of -1/2*h**2 + 0*h + 72 + 1/9*h**3. Factor x(f).
f*(f - 3)/3
Suppose -214*z + 12*z + 612 = 12*z + 92*z. Determine i so that -26*i**z + 24*i**3 - 1/2*i**4 + 0 - 8*i - 2*i**5 = 0.
-4, -1/4, 0, 2
Let y(p) be the third derivative of -p**8/50400 + p**7/1575 - 2*p**6/225 + 23*p**5/15 + 85*p**2. Let n(b) be the third derivative of y(b). Solve n(z) = 0.
4
Let p(k) be the first derivative of 32*k**3 - 18*k**2 + 0*k + 179/4*k**4 + 51/5*k**5 + 2/3*k**6 - 66. Factor p(w).
w*(w + 1)*(w + 6)**2*(4*w - 1)
Let k = -181 - -88. Let f = k - -95. Factor -26 + 32*u**f - 64*u - 4*u**3 - 25 + 51.
-4*u*(u - 4)**2
Suppose -704/15*x**2 + 1024/15*x + 2/15*x**5 - 512/15 + 224/15*x**3 - 34/15*x**4 = 0. Calculate x.
1, 4
Let u(q) = q**3 - q**2 - 3*q. Let s(k) = -16*k**3 + 174*k**2 + 164*k - 30. Let i(t) = s(t) + 4*u(t). Factor i(j).
-2*(j - 15)*(j + 1)*(6*j - 1)
Let b(q) = -4*q**2 - 22*q - 13. Let a be b(-5). Let d be 1/a*-3 - (-8 - -7). Let 4/5 - 6/5*h + 2/5*h**d = 0. What is h?
1, 2
Let s be -4 - 56/(-13 - -6). Solve 7*l**4 + 21*l**3 - 4*l**2 - 37*l**3 - 12*l**s + 16*l = 0.
-2, 0, 4/5
Let n(q) be the second derivative of -q**5/40 + 17*q**4/24 - 10*q**3/3 - 75*q**2 + 57*q - 1. Factor n(m).
-(m - 10)**2*(m + 3)/2
Factor -7*o**3 + 12*o**3 - 7*o**3 - 3*o**3 + 750*o + 7*o**3 + 256*o**2.
2*o*(o + 3)*(o + 125)
Suppose 115*s - 72 = 4*h + 120*s, 3*h - 3*s - 54 = 0. Factor 48/7 + 32/7*o + 4/7*o**h.
4*(o + 2)*(o + 6)/7
Let i = 156 + -151. What is r in 12*r - 2*r - i + 0 - 2*r**2 - 3 = 0?
1, 4
Factor -36502/5*w**2 + 44368/3*w - 188/3*w**3 - 2/15*w**4 - 111392/15.
-2*(w - 1)**2*(w + 236)**2/15
Let x(z) be the first derivative of 9*z**6/7 + 8784*z**5/35 + 239115*z**4/14 + 2939652*z**3/7 + 2860596*z**2/7 + 944784*z/7 - 299. Factor x(t).
6*(t + 54)**3*(3*t + 1)**2/7
Let l(t) be the third derivative of -27 - 1/180*t**5 - 5/72*t**4 + 0*t**3 + 0*t + 2*t**2. Factor l(q).
-q*(q + 5)/3
Let p(w) be the third derivative of w**6/240 + w**5/16 - 7*w**4/8 + 55*w**3/3 - 4*w**2 - 11*w. Let z(j) be the first derivative of p(j). Factor z(a).
3*(a - 2)*(a + 7)/2
Suppose 112*x + 141 = 407*x - 28 - 421. Factor -20/9*c - 16/3 + 2/9*c**x.
2*(c - 12)*(c + 2)/9
Solve 489/5*g**4 + 0*g + 300*g**3 - 468/5*g**2 + 0 - 21/5*g**5 = 0.
-3, 0, 2/7, 26
Let a = -1150249 + 1150251. Factor 6/11*f**a - 234/11*f - 492/11.
6*(f - 41)*(f + 2)/11
Let k = 533451 + -533438. Factor -169*w**2 + 0 + 0*w - 1/4*w**4 + k*w**3.
-w**2*(w - 26)**2/4
Suppose 21 = -0*n + 7*n. Find b, give