 + 2. Let g(t) = 4*a(t) - m(t). Let g(x) = 0. What is x?
-1, 1, 3, 6
Let -442/11*m - 10/11*m**2 + 360/11 = 0. Calculate m.
-45, 4/5
Let h(d) = d**2 - 2. Let j(u) = -5*u**2 + 7*u + 8. Let b be -2*(-1 + 3)*-1. Let k(w) = b*h(w) + j(w). Suppose k(x) = 0. What is x?
0, 7
Let h = 127123/296457 + -10/42351. Find t, given that 10443/7 + h*t**2 - 354/7*t = 0.
59
Let f(j) be the second derivative of -j**4/60 + 1492*j**3/15 - 1113032*j**2/5 - 8703*j. Determine n, given that f(n) = 0.
1492
Factor 557 + 893 + 292 + 264*d**2 + 179*d + 3*d**3 + 1324*d + 472.
3*(d + 3)**2*(d + 82)
Let j(s) be the second derivative of s**5/30 + 23*s**4/9 - 47*s**3/9 + 284*s. Find b, given that j(b) = 0.
-47, 0, 1
Let j be (1/24*-2)/(-97 - -27). Let p(w) be the third derivative of 0*w + 1/210*w**5 + 0 + 0*w**3 - j*w**6 + 10*w**2 + 0*w**4. Determine d so that p(d) = 0.
0, 2
Let h(d) = -7*d**3 + d**2 + 4. Let u(m) = -114*m**3 - 127*m**2 - 87*m + 10. Let x(j) = 35*h(j) - 5*u(j). Factor x(z).
5*(z + 1)*(5*z + 3)*(13*z + 6)
Factor -1/10*z**2 - 422/5 - 43/2*z.
-(z + 4)*(z + 211)/10
Let x(c) be the second derivative of c**7/1680 - c**6/45 + c**5/16 - 92*c**3/3 - c + 30. Let t(d) be the second derivative of x(d). Factor t(m).
m*(m - 15)*(m - 1)/2
Let t(a) = 3*a**3 + a**2 + 3. Let j(v) = v**4 + 101*v**3 + 616*v**2 + 660*v - 8658. Let q(b) = j(b) - 18*t(b). Let q(p) = 0. Calculate p.
-22, -6, 3
Let s = 769 - 746. Let d(y) = y**2 - 8*y - 343. Let g be d(s). Factor 1/4 + 3/8*m + 1/8*m**g.
(m + 1)*(m + 2)/8
Let j be (-65754)/(-12339) - (1 - -5). Let q = -2/457 - j. Factor 4/3*y + q*y**2 + 0.
2*y*(y + 2)/3
Let x(h) = -11*h**4 + 39*h**3 - 360*h**2 + 706*h - 480. Let p(v) = -21*v**4 + 84*v**3 - 720*v**2 + 1411*v - 960. Let n(y) = 6*p(y) - 11*x(y). Factor n(q).
-5*(q - 8)*(q - 3)*(q - 2)**2
Let g be ((-90)/24)/(-5)*(2 - -2). Factor 36*t + 85*t**2 + 24*t**3 + 4*t**4 - 25*t**2 + 4*t**g.
4*t*(t + 1)*(t + 3)**2
Suppose -495*d = 641*d - 91*d. Factor 0*j - 5/3*j**4 + 5*j**3 + 20/3*j**2 + d.
-5*j**2*(j - 4)*(j + 1)/3
Suppose -2*y = -7*y. Let k be -1 - ((-9)/3 - y). Factor -31*i**2 - 5*i**3 + 9*i**2 - 180*i - 28*i**2 - 10*i**k.
-5*i*(i + 6)**2
Let r(c) be the third derivative of 0 + 1/180*c**5 - 4*c - 5/3*c**3 + 29/72*c**4 - 3*c**2. Suppose r(k) = 0. Calculate k.
-30, 1
Let l(k) be the third derivative of -k**8/2520 - 11*k**7/1575 - k**6/45 + 16*k**5/225 + 5*k**2 + 44. Find a such that l(a) = 0.
-8, -4, 0, 1
Let k(x) = 88*x**2 + 1938*x + 392. Let g(w) = -25*w**2 - 554*w - 112. Let i(b) = 18*g(b) + 5*k(b). Factor i(s).
-2*(s + 28)*(5*s + 1)
Let p(q) be the second derivative of -q**6/40 - 33*q**5/80 - 35*q**4/16 - 25*q**3/8 - q - 460. Factor p(d).
-3*d*(d + 1)*(d + 5)**2/4
Let n = -7158 - -7160. Let q(a) be the first derivative of a**4 - a**2 - n*a - 2 - 2/5*a**5 - 1/3*a**6 + 4/3*a**3. Find t, given that q(t) = 0.
-1, 1
Let r be -1 + 4 - (-231)/7. Suppose -r = -12*k - 12. Factor -t**2 - 2*t**2 - 25*t - t**k + 30 + 9*t**2.
5*(t - 3)*(t - 2)
Let c be ((-110)/3)/((-102)/918). Let x be (-198)/c*(-1 - 0). Factor -12/5*j**3 + 3/5 + 18/5*j**2 - 12/5*j + x*j**4.
3*(j - 1)**4/5
Suppose -14 = -20*f + 4*f + 34. Let k = 374 + -1864/5. Suppose -3/5*p**f - 9/5*p**2 - k*p + 0 = 0. Calculate p.
-2, -1, 0
Let l(q) = q**4 - 36*q**3 - 60*q**2 - 50*q - 9. Let i = 1 - -5. Let v(k) = -2*k**4 + 107*k**3 + 180*k**2 + 150*k + 28. Let m(b) = i*v(b) + 17*l(b). Factor m(c).
5*(c + 1)**3*(c + 3)
Let c = -464 + 443. Let o be (532/190)/(c/(-15)). Find f such that -27/5*f**3 + 27/5*f**o + 6/5*f**4 + 3/5*f - 9/5 = 0.
-1/2, 1, 3
Let r(o) be the third derivative of o**7/180 - o**6/108 - o**5/90 + 4*o**3/3 + 13*o**2 - 3. Let d(m) be the first derivative of r(m). Factor d(i).
2*i*(i - 1)*(7*i + 2)/3
Factor 148/9*x - 1/9*x**3 - 145/9*x**2 + 292/9.
-(x - 2)*(x + 1)*(x + 146)/9
Suppose o = 231*x - 232*x + 9, -3*o - 4*x + 32 = 0. Let t(r) be the first derivative of 0*r + o*r**4 + 20/3*r**3 + 29 + 4*r**2 + 4/5*r**5. Factor t(m).
4*m*(m + 1)**2*(m + 2)
Let -55/2*z**2 + 113/4*z**3 - 3/4*z + 0 = 0. Calculate z.
-3/113, 0, 1
Let x(l) = l**2 + 23*l + 102. Let h be x(-13). Let q be 34/(-119) + (-29)/h. What is g in 3/2*g**2 + q*g**3 + 3/4*g + 0 = 0?
-1, 0
Let h be (8 + -5 - -4) + 0 + 0. Suppose -25 = -2*z - 4*b - h, 0 = -2*z - b + 9. Find m such that 0*m**z + 123*m + 9*m**4 - 4*m**4 - 5*m**2 + 5*m**3 - 128*m = 0.
-1, 0, 1
Let b = 9692 + -106378/11. Let u = 1192/55 - b. Factor u*c**4 - 2*c**3 - 8/5 - 2/5*c**2 + 2/5*c**5 + 16/5*c.
2*(c - 1)**3*(c + 2)**2/5
Let v(g) be the third derivative of -1/5*g**5 - 32/3*g**3 + 13/3*g**4 + 0 + 0*g - 117*g**2. Factor v(l).
-4*(l - 8)*(3*l - 2)
Let l be (-72)/96 - 131*(-2)/152. Let r = 48/19 + l. What is q in -q - 5/2*q**5 + 3/2*q**2 + r*q**3 + 0 - 3/2*q**4 = 0?
-1, 0, 2/5, 1
Let r(d) = 24*d**2 - 12*d + 14. Let k(j) = 37*j**2 - 12*j + 14. Let v(f) = -2*k(f) + 3*r(f). Factor v(h).
-2*(h - 1)*(h + 7)
Let p(x) be the first derivative of 5*x**6/6 - 6*x**5 + 5*x**4 + 10*x**3 - 25*x**2/2 + 1326. Let p(q) = 0. What is q?
-1, 0, 1, 5
Let 56*q**3 - 56*q - 989*q**4 - 993*q**4 - 92*q**2 + 1978*q**4 + 96 = 0. What is q?
-1, 1, 2, 12
Factor -273*j + 33*j**4 + 1673*j**3 - 1691*j**3 + 207*j**5 - 99 - 222*j**2 - 204*j**5.
3*(j - 3)*(j + 1)**3*(j + 11)
Let r = 278064 - 278059. Determine d so that 2/3*d**r - 2/3 - 1/6*d**4 - 10/3*d**3 + 8/3*d + 5/6*d**2 = 0.
-2, -1, 1/4, 1, 2
Let s be 1027/316 + 2/(-8). Factor 19*t + 14*t + 10*t + 8*t**2 - 50*t + 11*t - 12*t**s.
-4*t*(t - 1)*(3*t + 1)
Let o(b) be the third derivative of 23*b**5/60 - 11*b**4/12 - b**3/6 - 40*b**2 + 68*b. Factor o(c).
(c - 1)*(23*c + 1)
Let i be (52/18 + -4)*3474/(-965). Solve -14/3*z**3 - 4/3*z**2 + 0*z**i + 8*z + 2/3*z**5 + 16/3 = 0.
-2, -1, 2
Factor 135/2*n**2 + 25*n**3 + 85/4 + 5/4*n**4 + 65*n.
5*(n + 1)**3*(n + 17)/4
Let w(v) be the first derivative of -v**5/20 + 75*v**4/8 - 6577*v**3/12 + 8925*v**2 - 56644*v - 2926. Solve w(x) = 0.
7, 68
Suppose -853 = -155*r - 543. Find q such that 2/3 - 2/3*q + 1/6*q**3 - 1/6*q**r = 0.
-2, 1, 2
Let f = -60296 - -60300. Factor 4*u**2 - 7/2*u**3 + 1/2*u**f + 8*u + 0.
u*(u - 4)**2*(u + 1)/2
Factor 1388/5*r + 4/5*r**2 + 1384/5.
4*(r + 1)*(r + 346)/5
Factor 294*p - 163*p - 212*p**2 - 243*p - 4*p**3 + 816 + 72*p**2.
-4*(p - 2)*(p + 3)*(p + 34)
Let g be 12/32 + 48/(-128). Let u(v) be the third derivative of -125/3*v**3 - 325/24*v**4 + 0 + 29/24*v**5 + g*v - 16*v**2 - 1/32*v**6. Let u(o) = 0. What is o?
-2/3, 10
What is s in -8/7*s + 0 - 96/7*s**2 - 18*s**3 = 0?
-2/3, -2/21, 0
Let r(c) = 2*c - 1. Let d be r(3). Suppose 6 = 8*n - d*n. Solve s**2 - 4 + 6*s**n - 3*s**2 = 0.
-1, 1
Suppose -20 = 3*h - 5. Let p(o) = 14*o**2 + 22*o + 86. Let r(u) = 12*u**2 + 23*u + 88. Let y(l) = h*p(l) + 6*r(l). Determine b so that y(b) = 0.
-7
Suppose 1150/13*x + 4/13 - 1154/13*x**2 = 0. Calculate x.
-2/577, 1
Factor -3/5*g**3 - 81/5*g**2 - 144*g - 420.
-3*(g + 7)*(g + 10)**2/5
Let -300 - 54*i**2 - 87*i + 195*i**2 - 78*i**2 - 66*i**2 = 0. What is i?
-25, -4
Let x(p) be the third derivative of -p**5/20 - 2*p**4 + 17*p**3/2 - 6253*p**2. Factor x(y).
-3*(y - 1)*(y + 17)
Let f(l) be the third derivative of -5*l**8/672 + 55*l**7/42 - 215*l**6/24 + 80*l**5/3 - 2125*l**4/48 + 265*l**3/6 - 582*l**2. Find z, given that f(z) = 0.
1, 106
Let r be (-16063424)/(-1008) + ((-12)/(-27))/(-2). Let a = -15900 + r. Factor a*c**3 - 300/7*c**2 + 120/7*c - 16/7.
2*(5*c - 2)**3/7
Let l = 13 + -9. Suppose -19*y = -l*y - 180. Factor 40 + g**2 + 58*g**3 - 63*g**3 + g**2 + 20*g - y*g**2.
-5*(g - 2)*(g + 2)**2
Find d such that -286/3 - 96*d - 2/3*d**2 = 0.
-143, -1
Let v(q) = -10*q - 3. Let k be v(-1). Suppose -k*j = j - 16. Find i such that -13 - 16 + 52*i + 16*i**4 - 52*i**3 - 4*i**j + 17 = 0.
-1, 1/4, 1, 3
Let z(c) = -13*c - 40. Let g be z(-6). Suppose -3*d + g = o, d + 2*o = 12 - 1. What is p in -27*p**2 - d*p**2 - 35*p**2 + 21*p**4 - 18*p - 36*p**3 = 0?
-1, -2/7, 0, 3
Let d = 677232 + -6095062/9. Factor 1/9*k + 0 + 3*k**2 + d*k**3.
k*(k + 1)*(26*k + 1)/9
Let m be (-597)/(-210) - (6/(-20) + 62/140). Let c(j) be the second derivative of -2*j - m*j**4 + 0 - 4/5*j**2 - 12/5*j**3. Solve c(g) = 0.
-2/9
Let p(z) = -z**2 + 17*z - 70. Let w be p(8). Let -6/5*n - 2/5*n**w + 0 = 0. Calculate n.
-3, 0
Let d = 9865 - 769469/78. Let q(w) be the second derivative of 2/39*w**3 + 0 + 16*w + 0